﻿4:@0.062616:0.966558:0.070743:0.966558:0.070743:0.950778:0.062616:0.950778:0.000000
Conoce tu libro:@0.143844:0.108085:0.367770:0.108085:0.367770:0.054494:0.143844:0.054494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluación diagnóstica:@0.142659:0.132543:0.329670:0.132543:0.329670:0.114740:0.142659:0.114740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El texto de Matemática para 3.° año de BGU co-:@0.142659:0.151731:0.460901:0.151731:0.460901:0.137385:0.142659:0.137385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mienza con una evaluación diagnóstica que permi-:@0.142659:0.166819:0.460966:0.166819:0.460966:0.152473:0.142659:0.152473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te conocer las habilidades, competencias y destrezas :@0.142659:0.181906:0.464555:0.181906:0.464555:0.167561:0.142659:0.167561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que los estudiantes han adquirido en el año anterior.:@0.142659:0.196994:0.460970:0.196994:0.460970:0.182648:0.142659:0.182648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Apertura de unidad:@0.142659:0.234092:0.304906:0.234092:0.304906:0.216288:0.142659:0.216288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Contiene: título de unidad, fotografía motivadora :@0.142659:0.253281:0.464568:0.253281:0.464568:0.238935:0.142659:0.238935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relacionada con los temas que se tratarán, texto in-:@0.142659:0.268368:0.460938:0.268368:0.460938:0.254023:0.142659:0.254023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
troductorio, preguntas de comprensión y de lectura :@0.142659:0.283456:0.464521:0.283456:0.464521:0.269110:0.142659:0.269110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de imagen, códigos de objetivos de unidad. :@0.142659:0.298544:0.412200:0.298544:0.412200:0.284198:0.142659:0.284198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Contenidos científicos  :@0.142659:0.336417:0.333048:0.336417:0.333048:0.318614:0.142659:0.318614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y pedagógicos:@0.142659:0.354522:0.257364:0.354522:0.257364:0.336719:0.142659:0.336719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Saberes previos. :@0.142659:0.374114:0.263139:0.374114:0.263139:0.359378:0.142659:0.359378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pregunta que relaciona el nuevo :@0.263256:0.373711:0.465607:0.373711:0.465607:0.359366:0.263256:0.359366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocimiento con las experiencias previas del estu-:@0.152711:0.388799:0.462010:0.388799:0.462010:0.374453:0.152711:0.374453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diante: su experiencia, su entorno. :@0.152711:0.403887:0.358881:0.403887:0.358881:0.389541:0.152711:0.389541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Desequilibrio  cognitivo. :@0.142659:0.424720:0.318988:0.424720:0.318988:0.409984:0.142659:0.409984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuestiona los conoci-:@0.322144:0.424318:0.461993:0.424318:0.461993:0.409972:0.322144:0.409972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mientos que posee el estudiante y lo desestabiliza :@0.152694:0.439405:0.465607:0.439405:0.465607:0.425060:0.152694:0.425060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para que reconstruya la información que posee.:@0.152694:0.454493:0.445623:0.454493:0.445623:0.440147:0.152694:0.440147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los contenidos se apoyan en fotos, organizadores grá-:@0.142642:0.474924:0.461988:0.474924:0.461988:0.460578:0.142642:0.460578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ficos, diagramas, esquemas e ilustraciones.:@0.142642:0.490012:0.394173:0.490012:0.394173:0.475666:0.142642:0.475666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Secciones variables:@0.142659:0.527179:0.299299:0.527179:0.299299:0.509375:0.142659:0.509375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Recuerda que… :@0.142659:0.546770:0.259874:0.546770:0.259874:0.532034:0.142659:0.532034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se hace mención a temas propios :@0.259003:0.546368:0.465609:0.546368:0.465609:0.532022:0.259003:0.532022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la matemática; hace referencia a conocimientos :@0.152711:0.561455:0.465610:0.561455:0.465610:0.547109:0.152711:0.547109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
anteriores o prerrequisitos que el estudiante nece-:@0.152711:0.576543:0.462010:0.576543:0.462010:0.562197:0.152711:0.562197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sita para el tema que se está desarrollando.:@0.152711:0.591631:0.415686:0.591631:0.415686:0.577285:0.152711:0.577285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Competencia digital. :@0.142659:0.612464:0.294684:0.612464:0.294684:0.597728:0.142659:0.597728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Funciona como herramien-:@0.294081:0.612062:0.462010:0.612062:0.462010:0.597716:0.294081:0.597716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ta de investigación para que los estudiantes pro-:@0.152711:0.627149:0.462010:0.627149:0.462010:0.612803:0.152711:0.612803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundicen temas o aprendan de manera más ágil.:@0.152711:0.642237:0.440277:0.642237:0.440277:0.627891:0.152711:0.627891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Interdisciplinariedad. :@0.142659:0.663070:0.299509:0.663070:0.299509:0.648335:0.142659:0.648335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vincula la matemática con :@0.299026:0.662668:0.465595:0.662668:0.465595:0.648322:0.299026:0.648322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las demás ciencias: matemática y arte, matemática :@0.152711:0.677756:0.465612:0.677756:0.465612:0.663410:0.152711:0.663410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e historia, etc. :@0.152711:0.692843:0.240074:0.692843:0.240074:0.678497:0.152711:0.678497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Interculturalidad.:@0.142659:0.713677:0.267947:0.713677:0.267947:0.698941:0.142659:0.698941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Permite conocer la forma como :@0.267780:0.713274:0.465570:0.713274:0.465570:0.698929:0.267780:0.698929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otras culturas desarrollaron la matemática.:@0.152711:0.728362:0.407278:0.728362:0.407278:0.714016:0.152711:0.714016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Simbología  matemática. :@0.142659:0.749195:0.321380:0.749195:0.321380:0.734460:0.142659:0.734460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sintetiza los símbolos :@0.324004:0.748793:0.465190:0.748793:0.465190:0.734447:0.324004:0.734447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticos aprendidos en la lección.:@0.152711:0.763881:0.388264:0.763881:0.388264:0.749535:0.152711:0.749535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluación formativa:@0.142659:0.798043:0.316063:0.798043:0.316063:0.780240:0.142659:0.780240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La evaluación formativa ha sido diseñada para desa-:@0.142659:0.811886:0.461571:0.811886:0.461571:0.797540:0.142659:0.797540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rrollar las destrezas del currículo. Incluye actividades :@0.142659:0.826973:0.465150:0.826973:0.465150:0.812628:0.142659:0.812628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en las dimensiones conceptual, procedimental o cal-:@0.142659:0.842061:0.461588:0.842061:0.461588:0.827715:0.142659:0.827715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
culativa y de modelización. Estas invitan a la reflexión, :@0.142659:0.857149:0.465136:0.857149:0.465136:0.842803:0.142659:0.842803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprensión profunda, dominio de procesos y algo-:@0.142659:0.872236:0.461551:0.872236:0.461551:0.857890:0.142659:0.857890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ritmos, desarrollo de valores, y aplicación a la realidad.:@0.142659:0.887324:0.461613:0.887324:0.461613:0.872978:0.142659:0.872978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cada pregunta inicia detallando el indicador de eva-:@0.142659:0.902411:0.461620:0.902411:0.461620:0.888066:0.142659:0.888066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luación. Siempre existe un :@0.142659:0.917499:0.316298:0.917499:0.316298:0.903153:0.142659:0.903153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.319632:0.917901:0.461605:0.917901:0.461605:0.903166:0.319632:0.903166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.461605:0.917499:0.465207:0.917499:0.465207:0.903153:0.461605:0.903153:0.000000
acompañado de un recuadro con :@0.142659:0.932587:0.358246:0.932587:0.358246:0.918241:0.142659:0.918241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diversidad fun-:@0.359402:0.932989:0.461555:0.932989:0.461555:0.918253:0.359402:0.918253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cional en el aula,:@0.142659:0.948077:0.250694:0.948077:0.250694:0.933341:0.142659:0.933341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 o competencia socioemocional.:@0.250526:0.947674:0.446141:0.947674:0.446141:0.933328:0.250526:0.933328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8 8:@0.499071:0.268328:0.500811:0.268328:0.500811:0.264947:0.499071:0.264947:0.000000:0.000000:0.000000
9:@0.897430:0.268225:0.899454:0.268225:0.899454:0.264663:0.897430:0.264663:0.000000
9:@0.897572:0.268328:0.899312:0.268328:0.899312:0.264947:0.897572:0.264947:0.000000
Evaluación diagnóstica:@0.507312:0.085415:0.594313:0.085415:0.594313:0.072017:0.507312:0.072017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Temas de :@0.619143:0.080736:0.641015:0.080736:0.641015:0.075753:0.619143:0.075753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.° BGU:@0.620973:0.085047:0.637969:0.085047:0.637969:0.080064:0.620973:0.080064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.:@0.722319:0.083687:0.725065:0.083687:0.725065:0.080213:0.722319:0.080213:0.000000:0.000000
 :@0.725065:0.083687:0.725889:0.083687:0.725889:0.080213:0.725065:0.080213:0.000000
Se tiene dos canastas de frutas. La primera contiene 25 frutillas y 25 moras, mientras que la segunda contiene 10 :@0.727400:0.083592:0.891438:0.083592:0.891438:0.080210:0.727400:0.080210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
frutillas y 8 moras. Se pide sacar una carta de la baraja, si sale una carta del As al 9, se puede coger una fruta de la :@0.727400:0.087148:0.891422:0.087148:0.891422:0.083767:0.727400:0.083767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
canasta 1 y si sale una carta del 10 a la K, se puede coger una fruta de la canasta 2.  :@0.727400:0.090704:0.847570:0.090704:0.847570:0.087323:0.727400:0.087323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.722319:0.101933:0.723079:0.101933:0.723079:0.098818:0.722319:0.098818:0.000000
a) :@0.727402:0.098324:0.731390:0.098324:0.731390:0.094742:0.727402:0.094742:0.000000:0.000000:0.000000
Indica:@0.732484:0.098287:0.741755:0.098287:0.741755:0.094862:0.732484:0.094862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la probabilidad de que la fruta  :@0.741755:0.098243:0.788015:0.098243:0.788015:0.094862:0.741755:0.094862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
extraída sea una mora.:@0.732484:0.101799:0.765266:0.101799:0.765266:0.098418:0.732484:0.098418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.811420:0.098324:0.815722:0.098324:0.815722:0.094742:0.811420:0.094742:0.000000:0.000000:0.000000
Encuentra:@0.816503:0.098287:0.831931:0.098287:0.831931:0.094862:0.816503:0.094862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la probabilidad de que la fruta extraída :@0.831931:0.098243:0.889864:0.098243:0.889864:0.094862:0.831931:0.094862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sea una frutilla.:@0.816503:0.101799:0.838195:0.101799:0.838195:0.098418:0.816503:0.098418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.:@0.722319:0.111899:0.725144:0.111899:0.725144:0.108426:0.722319:0.108426:0.000000:0.000000
 :@0.725223:0.111899:0.726047:0.111899:0.726047:0.108426:0.725223:0.108426:0.000000
En la imagen se muestra la gráfica de una función racional, :@0.727400:0.111804:0.822102:0.111804:0.822102:0.108423:0.727400:0.108423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observa analiza:@0.822646:0.111899:0.849075:0.111899:0.849075:0.108426:0.822646:0.108426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.835525:0.111804:0.837016:0.111804:0.837016:0.108423:0.835525:0.108423:0.000000:0.000000
 y :@0.849154:0.111804:0.853075:0.111804:0.853075:0.108423:0.849154:0.108423:0.000000:0.000000:0.000000
responde:@0.853620:0.111899:0.868867:0.111899:0.868867:0.108426:0.853620:0.108426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las siguientes :@0.868942:0.111804:0.891411:0.111804:0.891411:0.108423:0.868942:0.108423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.890559:0.111804:0.891407:0.111804:0.891407:0.108423:0.890559:0.108423:0.000000
preguntas. :@0.727400:0.115361:0.744147:0.115361:0.744147:0.111979:0.727400:0.111979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.:@0.722319:0.170783:0.725065:0.170783:0.725065:0.167309:0.722319:0.167309:0.000000:0.000000
 :@0.725065:0.170783:0.725889:0.170783:0.725889:0.167309:0.725065:0.167309:0.000000
Un cohete despega, la función de desplazamiento del cohete (en metros) está definida de la siguiente forma:   :@0.727400:0.170688:0.887644:0.170688:0.887644:0.167306:0.727400:0.167306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.722319:0.176672:0.723079:0.176672:0.723079:0.173433:0.722319:0.173433:0.000000
• :@0.729435:0.176754:0.731376:0.176754:0.731376:0.173373:0.729435:0.173373:0.000000:0.000000
S t:@0.735230:0.176778:0.739223:0.176778:0.739223:0.173402:0.735230:0.173402:0.000000:0.000000:0.000000
( ) =   + 2  –   + 10,   > 0;  (  en segundos). :@0.736844:0.176754:0.801384:0.176754:0.801384:0.173373:0.736844:0.173373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.744351:0.176778:0.745511:0.176778:0.745511:0.173402:0.744351:0.173402:0.000000
3:@0.745509:0.175452:0.746524:0.175452:0.746524:0.173481:0.745509:0.173481:0.000000
t:@0.752174:0.176778:0.753333:0.176778:0.753333:0.173402:0.752174:0.173402:0.000000
2:@0.753333:0.175452:0.754347:0.175452:0.754347:0.173481:0.753333:0.173481:0.000000
t:@0.758192:0.176778:0.759352:0.176778:0.759352:0.173402:0.758192:0.173402:0.000000
t:@0.768153:0.176778:0.769313:0.176778:0.769313:0.173402:0.768153:0.173402:0.000000
t:@0.778441:0.176778:0.779601:0.176778:0.779601:0.173402:0.778441:0.173402:0.000000
9. Indica:@0.722318:0.212136:0.737146:0.212136:0.737146:0.208663:0.722318:0.208663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.725064:0.212136:0.725888:0.212136:0.725888:0.208663:0.725064:0.208663:0.000000
 cuáles son el vértice de la parábola y el eje de simetría propuestos en cada inciso. :@0.737146:0.212041:0.855600:0.212041:0.855600:0.208660:0.737146:0.208660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Resuelve:@0.508329:0.093050:0.527627:0.093050:0.527627:0.089577:0.508329:0.089577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.511233:0.093050:0.512057:0.093050:0.512057:0.089577:0.511233:0.089577:0.000000
 los siguientes sistemas de ecuaciones por método de sustitución, donde x, y   :@0.527706:0.092956:0.652297:0.092956:0.652297:0.089574:0.527706:0.089574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.648898:0.094616:0.651355:0.094616:0.651355:0.090545:0.648898:0.090545:0.000000
:@0.653287:0.093283:0.656394:0.093283:0.656394:0.089368:0.653287:0.089368:0.000000
 denotan las :@0.657378:0.092955:0.677418:0.092955:0.677418:0.089573:0.657378:0.089573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas. :@0.513411:0.096511:0.530631:0.096511:0.530631:0.093130:0.513411:0.093130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.508327:0.116757:0.509087:0.116757:0.509087:0.113643:0.508327:0.113643:0.000000
a) :@0.513412:0.109943:0.517400:0.109943:0.517400:0.106361:0.513412:0.106361:0.000000:0.000000:0.000000
x:@0.523123:0.105747:0.524721:0.105747:0.524721:0.102448:0.523123:0.102448:0.000000
y:@0.530172:0.105747:0.531774:0.105747:0.531774:0.102448:0.530172:0.102448:0.000000
x:@0.523214:0.110192:0.524811:0.110192:0.524811:0.106894:0.523214:0.106894:0.000000
y:@0.530184:0.110192:0.531786:0.110192:0.531786:0.106894:0.530184:0.106894:0.000000
x:@0.521332:0.114638:0.522930:0.114638:0.522930:0.111339:0.521332:0.111339:0.000000
y:@0.528303:0.114638:0.529904:0.114638:0.529904:0.111339:0.528303:0.111339:0.000000
3 –3:@0.521016:0.105747:0.529989:0.105747:0.529989:0.102389:0.521016:0.102389:0.000000:0.000000:0.000000:0.000000
0:@0.535349:0.105747:0.537274:0.105747:0.537274:0.102389:0.535349:0.102389:0.000000
2:@0.521015:0.110193:0.522940:0.110193:0.522940:0.106835:0.521015:0.106835:0.000000
5:@0.528077:0.110193:0.530002:0.110193:0.530002:0.106835:0.528077:0.106835:0.000000
7:@0.535272:0.110193:0.537197:0.110193:0.537197:0.106835:0.535272:0.106835:0.000000
3:@0.526191:0.114638:0.528116:0.114638:0.528116:0.111280:0.526191:0.111280:0.000000
4:@0.533631:0.114638:0.535556:0.114638:0.535556:0.111280:0.533631:0.111280:0.000000
=:@0.532637:0.105892:0.534802:0.105892:0.534802:0.102555:0.532637:0.102555:0.000000
+ ⎨ ⎪:@0.525477:0.110337:0.521003:0.108147:0.521003:0.104810:0.525477:0.107000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.532650:0.110337:0.527640:0.110337:0.527640:0.107000:0.532650:0.107000:0.000000
+ ⎩ ⎪:@0.523595:0.114783:0.521003:0.113283:0.521003:0.109946:0.523595:0.111446:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.530768:0.114783:0.525758:0.114783:0.525758:0.111446:0.530768:0.111446:0.000000
⎧:@0.519054:0.105655:0.521003:0.105655:0.521003:0.102318:0.519054:0.102318:0.000000
b) :@0.569272:0.109958:0.573574:0.109958:0.573574:0.106376:0.569272:0.106376:0.000000:0.000000:0.000000
x:@0.577545:0.106755:0.579142:0.106755:0.579142:0.103249:0.577545:0.103249:0.000000
y:@0.584602:0.106755:0.586204:0.106755:0.586204:0.103249:0.584602:0.103249:0.000000
x:@0.579336:0.111201:0.580933:0.111201:0.580933:0.107695:0.579336:0.107695:0.000000
y:@0.586551:0.111201:0.588153:0.111201:0.588153:0.107695:0.586551:0.107695:0.000000
x y:@0.580298:0.117472:0.587076:0.117472:0.587076:0.113966:0.580298:0.113966:0.000000:0.000000:0.000000
2:@0.582405:0.106755:0.584330:0.106755:0.584330:0.103243:0.582405:0.103243:0.000000
4:@0.589935:0.106755:0.591861:0.106755:0.591861:0.103243:0.589935:0.103243:0.000000
3:@0.577229:0.111201:0.579154:0.111201:0.579154:0.107689:0.577229:0.107689:0.000000
6:@0.584275:0.111201:0.586200:0.111201:0.586200:0.107689:0.584275:0.107689:0.000000
12:@0.591478:0.111201:0.595289:0.111201:0.595289:0.107689:0.591478:0.107689:0.000000:0.000000
1:@0.577710:0.115646:0.579635:0.115646:0.579635:0.112134:0.577710:0.112134:0.000000
2:@0.577541:0.119813:0.579466:0.119813:0.579466:0.116301:0.577541:0.116301:0.000000
2:@0.590654:0.117472:0.592579:0.117472:0.592579:0.113960:0.590654:0.113960:0.000000
+:@0.579805:0.106901:0.581971:0.106901:0.581971:0.103564:0.579805:0.103564:0.000000
=:@0.587068:0.106901:0.589233:0.106901:0.589233:0.103564:0.587068:0.103564:0.000000
+:@0.581600:0.111346:0.583766:0.111346:0.583766:0.108009:0.581600:0.108009:0.000000
=:@0.589020:0.111346:0.591186:0.111346:0.591186:0.108009:0.589020:0.108009:0.000000
+ =:@0.582563:0.117617:0.590105:0.117617:0.590105:0.114280:0.582563:0.114280:0.000000:0.000000:0.000000
2.:@0.508327:0.128431:0.511073:0.128431:0.511073:0.124958:0.508327:0.124958:0.000000:0.000000
 :@0.511073:0.128431:0.511897:0.128431:0.511897:0.124958:0.511073:0.124958:0.000000
Sean A = {m, n, o, p}, B = {0, 1, 2, 3}. :@0.513408:0.128337:0.565184:0.128337:0.565184:0.124955:0.513408:0.124955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indica:@0.565184:0.128431:0.574931:0.128431:0.574931:0.124958:0.565184:0.124958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si las siguientes funciones son o no funciones biyectivas.. :@0.574931:0.128337:0.658340:0.128337:0.658340:0.124955:0.574931:0.124955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.:@0.508327:0.146942:0.511073:0.146942:0.511073:0.143469:0.508327:0.143469:0.000000:0.000000
 :@0.511073:0.146942:0.511897:0.146942:0.511897:0.143469:0.511073:0.143469:0.000000
Sean A = {m, n, o, p}, B = {0, 1, 2, 3}, C = B; f la función de A en B y g la función de B en C, definidas a continuación: :@0.513408:0.146847:0.677363:0.146847:0.677363:0.143466:0.513408:0.143466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.508327:0.152146:0.509175:0.152146:0.509175:0.148765:0.508327:0.148765:0.000000
• :@0.515444:0.152146:0.517385:0.152146:0.517385:0.148765:0.515444:0.148765:0.000000:0.000000
f m:@0.521239:0.152170:0.526367:0.152170:0.526367:0.148794:0.521239:0.148794:0.000000:0.000000:0.000000
( ) = 1,  ( ) = 0,  ( ) = 3,  ( ) = 2;  :@0.522118:0.152146:0.572206:0.152146:0.572206:0.148765:0.522118:0.148765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f n:@0.534647:0.152170:0.538663:0.152170:0.538663:0.148794:0.534647:0.148794:0.000000:0.000000:0.000000
f o:@0.546943:0.152170:0.550801:0.152170:0.550801:0.148794:0.546943:0.148794:0.000000:0.000000:0.000000
f p:@0.559082:0.152170:0.563078:0.152170:0.563078:0.148794:0.559082:0.148794:0.000000:0.000000:0.000000
 :@0.508327:0.157445:0.509175:0.157445:0.509175:0.154063:0.508327:0.154063:0.000000
• :@0.515444:0.157445:0.517385:0.157445:0.517385:0.154063:0.515444:0.154063:0.000000:0.000000
g:@0.521239:0.157469:0.522761:0.157469:0.522761:0.154093:0.521239:0.154093:0.000000
(0) = 2,  (1) = 1,  (2) = 0,  (3) = 3.:@0.522761:0.157445:0.571437:0.157445:0.571437:0.154063:0.522761:0.154063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.534000:0.157469:0.535523:0.157469:0.535523:0.154093:0.534000:0.154093:0.000000
g:@0.546762:0.157469:0.548285:0.157469:0.548285:0.154093:0.546762:0.154093:0.000000
g:@0.559524:0.157469:0.561046:0.157469:0.561046:0.154093:0.559524:0.154093:0.000000
4. Calcula:@0.508327:0.200488:0.525069:0.200488:0.525069:0.197015:0.508327:0.197015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.511073:0.200488:0.511897:0.200488:0.511897:0.197015:0.511073:0.197015:0.000000
 el cociente incremental  ( ) según  ( ) dado en cada inciso. :@0.525069:0.200393:0.613846:0.200393:0.613846:0.197012:0.525069:0.197012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q h:@0.560702:0.200417:0.566280:0.200417:0.566280:0.197041:0.560702:0.197041:0.000000:0.000000:0.000000
f x:@0.577810:0.200417:0.581440:0.200417:0.581440:0.197041:0.577810:0.197041:0.000000:0.000000:0.000000
5. Determina:@0.508327:0.234368:0.530414:0.234368:0.530414:0.230894:0.508327:0.230894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.511073:0.234368:0.511897:0.234368:0.511897:0.230894:0.511073:0.230894:0.000000
 la derivada de  ( ) para el punto a solicitada en cada inciso.  :@0.530414:0.234273:0.618186:0.234273:0.618186:0.230891:0.530414:0.230891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.552272:0.234297:0.555902:0.234297:0.555902:0.230921:0.552272:0.230921:0.000000:0.000000:0.000000
a) :@0.513716:0.134983:0.517705:0.134983:0.517705:0.131401:0.513716:0.131401:0.000000:0.000000:0.000000
f m:@0.518798:0.134961:0.524159:0.134961:0.524159:0.131432:0.518798:0.131432:0.000000:0.000000:0.000000
( ) = 0,  ( ) = 1  ( ) = 2  ( ) = 3:@0.519717:0.134937:0.568540:0.134937:0.568540:0.131401:0.519717:0.131401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f n:@0.532816:0.134961:0.537015:0.134961:0.537015:0.131432:0.532816:0.131432:0.000000:0.000000:0.000000
f o:@0.545081:0.134961:0.549115:0.134961:0.549115:0.131432:0.545081:0.131432:0.000000:0.000000:0.000000
f p:@0.557182:0.134961:0.561360:0.134961:0.561360:0.131432:0.557182:0.131432:0.000000:0.000000:0.000000
b) :@0.588118:0.134983:0.592420:0.134983:0.592420:0.131401:0.588118:0.131401:0.000000:0.000000:0.000000
f m:@0.593199:0.134961:0.598561:0.134961:0.598561:0.131432:0.593199:0.131432:0.000000:0.000000:0.000000
( ) = 1,  ( ) = 1  ( ) = 2  ( ) = 3:@0.594119:0.134937:0.642942:0.134937:0.642942:0.131401:0.594119:0.131401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f n:@0.607218:0.134961:0.611416:0.134961:0.611416:0.131432:0.607218:0.131432:0.000000:0.000000:0.000000
f o:@0.619483:0.134961:0.623517:0.134961:0.623517:0.131432:0.619483:0.131432:0.000000:0.000000:0.000000
f p:@0.631584:0.134961:0.635762:0.134961:0.635762:0.131432:0.631584:0.131432:0.000000:0.000000:0.000000
a) :@0.513712:0.168641:0.517700:0.168641:0.517700:0.165059:0.513712:0.165059:0.000000:0.000000:0.000000
Determina:@0.518799:0.168654:0.535805:0.168654:0.535805:0.165180:0.518799:0.165180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función inversa f –1.:@0.535805:0.168559:0.569202:0.168559:0.569202:0.165177:0.535805:0.165177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.513716:0.175412:0.518018:0.175412:0.518018:0.171830:0.513716:0.171830:0.000000:0.000000:0.000000
Determina:@0.518799:0.175426:0.535805:0.175426:0.535805:0.171952:0.518799:0.171952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.535804:0.175412:0.536679:0.175412:0.536679:0.171830:0.535804:0.171830:0.000000
la función inversa:@0.536679:0.175331:0.562107:0.175331:0.562107:0.171949:0.536679:0.171949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  .:@0.562107:0.175365:0.567547:0.175365:0.567547:0.171830:0.562107:0.171830:0.000000:0.000000:0.000000
g:@0.562994:0.175390:0.564586:0.175390:0.564586:0.171861:0.562994:0.171861:0.000000
–1:@0.564587:0.174005:0.566958:0.174005:0.566958:0.171944:0.564587:0.171944:0.000000:0.000000
c) :@0.513717:0.182569:0.517660:0.182569:0.517660:0.178987:0.513717:0.178987:0.000000:0.000000:0.000000
Determina:@0.518799:0.182582:0.535805:0.182582:0.535805:0.179109:0.518799:0.179109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.535804:0.182522:0.536691:0.182522:0.536691:0.178986:0.535804:0.178986:0.000000
la composición de funciones :@0.536691:0.182487:0.579322:0.182487:0.579322:0.179106:0.536691:0.179106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.581632:0.180066:0.583891:0.180066:0.583891:0.178120:0.581632:0.178120:0.000000:0.000000
–1:@0.588480:0.180066:0.590738:0.180066:0.590738:0.178120:0.588480:0.178120:0.000000:0.000000
f:@0.579883:0.181708:0.580889:0.181708:0.580889:0.178410:0.579883:0.178410:0.000000
g:@0.586404:0.181708:0.588388:0.181708:0.588388:0.178410:0.586404:0.178410:0.000000
:@0.584310:0.181895:0.585887:0.181895:0.585887:0.178306:0.584310:0.178306:0.000000
.:@0.590506:0.182522:0.591096:0.182522:0.591096:0.178986:0.590506:0.178986:0.000000
d) :@0.513716:0.189341:0.518059:0.189341:0.518059:0.185759:0.513716:0.185759:0.000000:0.000000:0.000000
Determina:@0.518799:0.189355:0.535805:0.189355:0.535805:0.185882:0.518799:0.185882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.535804:0.189295:0.536691:0.189295:0.536691:0.185759:0.535804:0.185759:0.000000
–1:@0.546194:0.187184:0.548453:0.187184:0.548453:0.185238:0.546194:0.185238:0.000000:0.000000
gf:@0.538786:0.189229:0.544072:0.189229:0.544072:0.185931:0.538786:0.185931:0.000000:0.000000
(:@0.537252:0.189900:0.538565:0.189900:0.538565:0.185629:0.537252:0.185629:0.000000
):@0.544783:0.189900:0.546096:0.189900:0.546096:0.185629:0.544783:0.185629:0.000000
:@0.541130:0.189416:0.542708:0.189416:0.542708:0.185827:0.541130:0.185827:0.000000
.:@0.548431:0.189295:0.549021:0.189295:0.549021:0.185759:0.548431:0.185759:0.000000
a) :@0.513717:0.208570:0.517705:0.208570:0.517705:0.204988:0.513717:0.204988:0.000000:0.000000:0.000000
f x:@0.518798:0.208548:0.522592:0.208548:0.522592:0.205019:0.518798:0.205019:0.000000:0.000000:0.000000
( ) = 3  – 2  + 5:@0.519718:0.208523:0.545780:0.208523:0.545780:0.204987:0.519718:0.204988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.529773:0.208548:0.531373:0.208548:0.531373:0.205019:0.529773:0.205019:0.000000
2:@0.531373:0.207161:0.532434:0.207161:0.532434:0.205100:0.531373:0.205100:0.000000
x:@0.538274:0.208547:0.539874:0.208547:0.539874:0.205018:0.538274:0.205018:0.000000
b) :@0.513718:0.215342:0.518020:0.215342:0.518020:0.211760:0.513718:0.211760:0.000000:0.000000:0.000000
f x:@0.518799:0.215320:0.522593:0.215320:0.522593:0.211791:0.518799:0.211791:0.000000:0.000000:0.000000
( ) = 5   – 2  + 1:@0.519719:0.215296:0.546667:0.215296:0.546667:0.211760:0.519719:0.211760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.529774:0.215320:0.531374:0.215320:0.531374:0.211791:0.529774:0.211791:0.000000
2:@0.531373:0.213934:0.532434:0.213934:0.532434:0.211873:0.531373:0.211873:0.000000
x:@0.539161:0.215320:0.540761:0.215320:0.540761:0.211791:0.539161:0.211791:0.000000
c) :@0.513718:0.222115:0.517661:0.222115:0.517661:0.218533:0.513718:0.218533:0.000000:0.000000:0.000000
f x:@0.518799:0.222094:0.522593:0.222094:0.522593:0.218564:0.518799:0.218564:0.000000:0.000000:0.000000
( ) = 11  – 3:@0.519719:0.222069:0.540092:0.222069:0.540092:0.218533:0.519719:0.218533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.531593:0.222094:0.533193:0.222094:0.533193:0.218564:0.531593:0.218564:0.000000
2:@0.533191:0.220707:0.534252:0.220707:0.534252:0.218646:0.533191:0.218646:0.000000
a) :@0.513717:0.243503:0.517705:0.243503:0.517705:0.239922:0.513717:0.239922:0.000000:0.000000:0.000000
f x:@0.518798:0.243482:0.522592:0.243482:0.522592:0.239952:0.518798:0.239952:0.000000:0.000000:0.000000
( ) = 5  + 11;     = 1:@0.519718:0.243457:0.551236:0.243454:0.551236:0.239919:0.519718:0.239922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.529773:0.243482:0.531373:0.243482:0.531373:0.239952:0.529773:0.239952:0.000000
4:@0.531373:0.242094:0.532434:0.242094:0.532434:0.240033:0.531373:0.240033:0.000000
a:@0.543409:0.243479:0.545331:0.243479:0.545331:0.239950:0.543409:0.239950:0.000000
b) :@0.513718:0.250274:0.518020:0.250274:0.518020:0.246692:0.513718:0.246692:0.000000:0.000000:0.000000
f x:@0.518799:0.250252:0.522593:0.250252:0.522593:0.246723:0.518799:0.246723:0.000000:0.000000:0.000000
( ) = 3  + 11 + 10;     = 3:@0.519719:0.250227:0.560562:0.250227:0.560562:0.246692:0.519719:0.246692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.529774:0.250252:0.531374:0.250252:0.531374:0.246723:0.529774:0.246723:0.000000
3:@0.531373:0.248867:0.532434:0.248867:0.532434:0.246806:0.531373:0.246806:0.000000
x :@0.540159:0.250252:0.542646:0.250252:0.542646:0.246723:0.540159:0.246723:0.000000:0.000000
a:@0.552734:0.250252:0.554655:0.250252:0.554655:0.246723:0.552734:0.246723:0.000000
c) :@0.513718:0.257536:0.517661:0.257536:0.517661:0.253955:0.513718:0.253955:0.000000:0.000000:0.000000
1:@0.530129:0.255348:0.532054:0.255348:0.532054:0.251990:0.530129:0.251990:0.000000
4:@0.529961:0.259516:0.531886:0.259516:0.531886:0.256158:0.529961:0.256158:0.000000
1:@0.539957:0.255348:0.541882:0.255348:0.541882:0.251990:0.539957:0.251990:0.000000
2:@0.539790:0.259516:0.541715:0.259516:0.541715:0.256158:0.539790:0.256158:0.000000
1;:@0.553855:0.257175:0.555918:0.257175:0.555918:0.253817:0.553855:0.253817:0.000000:0.000000
...:@0.556120:0.257175:0.558108:0.257175:0.558108:0.253817:0.556120:0.253817:0.000000:0.000000:0.000000
–2:@0.563638:0.257175:0.567536:0.257175:0.567536:0.253817:0.563638:0.253817:0.000000:0.000000
4:@0.534915:0.255533:0.536031:0.255533:0.536031:0.253587:0.534915:0.253587:0.000000
3:@0.544496:0.255533:0.545612:0.255533:0.545612:0.253587:0.544496:0.253587:0.000000
():@0.521242:0.257846:0.526208:0.257846:0.526208:0.253575:0.521242:0.253575:0.000000:0.000000
=:@0.526778:0.257320:0.528944:0.257320:0.528944:0.253983:0.526778:0.253983:0.000000
+:@0.536877:0.257320:0.539043:0.257320:0.539043:0.253983:0.536877:0.253983:0.000000
++:@0.546325:0.257320:0.553670:0.257320:0.553670:0.253983:0.546325:0.253983:0.000000:0.000000
=:@0.560850:0.257320:0.563016:0.257320:0.563016:0.253983:0.560850:0.253983:0.000000
fx:@0.519362:0.257175:0.524534:0.257175:0.524534:0.253876:0.519362:0.253876:0.000000:0.000000
x:@0.532877:0.257175:0.534475:0.257175:0.534475:0.253876:0.532877:0.253876:0.000000
x:@0.542550:0.257175:0.544148:0.257175:0.544148:0.253876:0.542550:0.253876:0.000000
x:@0.549240:0.257175:0.550838:0.257175:0.550838:0.253876:0.549240:0.253876:0.000000
a:@0.558227:0.257175:0.560211:0.257175:0.560211:0.253876:0.558227:0.253876:0.000000
a) :@0.796276:0.125961:0.800264:0.125961:0.800264:0.122379:0.796276:0.122379:0.000000:0.000000:0.000000
¿Cuál es el dominio de la función?:@0.801358:0.125880:0.850467:0.125880:0.850467:0.122498:0.801358:0.122498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.796276:0.132734:0.800577:0.132734:0.800577:0.129152:0.796276:0.129152:0.000000:0.000000:0.000000
¿Cuál es el rango o recorrido de la función?:@0.801358:0.132653:0.863402:0.132653:0.863402:0.129271:0.801358:0.129271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.796276:0.139507:0.800219:0.139507:0.800219:0.135925:0.796276:0.135925:0.000000:0.000000:0.000000
¿Cuáles son las ecuaciones de las asíntotas verticales?:@0.801358:0.139426:0.878084:0.139426:0.878084:0.136044:0.801358:0.136044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.796276:0.146279:0.799744:0.146279:0.799744:0.142697:0.796276:0.142697:0.000000:0.000000
  ¿La función es creciente o decreciente?:@0.799744:0.146198:0.857622:0.146198:0.857622:0.142816:0.799744:0.142816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.757849:0.141082:0.758879:0.141082:0.758879:0.139268:0.757849:0.139268:0.000000
1:@0.756411:0.134380:0.757441:0.134380:0.757441:0.132566:0.756411:0.132566:0.000000
2:@0.756411:0.129255:0.757441:0.129255:0.757441:0.127441:0.756411:0.127441:0.000000
3:@0.756411:0.123984:0.757441:0.123984:0.757441:0.122171:0.756411:0.122171:0.000000
y:@0.760392:0.121712:0.761338:0.121712:0.761338:0.119898:0.760392:0.119898:0.000000
y:@0.740407:0.137590:0.741292:0.137590:0.741292:0.135896:0.740407:0.135896:0.000000
 = 0:@0.741292:0.137590:0.744371:0.137590:0.744371:0.135777:0.741292:0.135777:0.000000:0.000000:0.000000:0.000000
x:@0.768281:0.133418:0.769167:0.133418:0.769167:0.131724:0.768281:0.131724:0.000000
 = 2:@0.769167:0.133418:0.772246:0.133418:0.772246:0.131605:0.769167:0.131605:0.000000:0.000000:0.000000:0.000000
x:@0.746544:0.133251:0.747429:0.133251:0.747429:0.131557:0.746544:0.131557:0.000000
 = –1:@0.747429:0.133251:0.751512:0.133251:0.751512:0.131437:0.747429:0.131437:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.789265:0.138353:0.790195:0.138353:0.790195:0.136540:0.789265:0.136540:0.000000
–1:@0.754120:0.144849:0.756154:0.144849:0.756154:0.143035:0.754120:0.143035:0.000000:0.000000
–1:@0.751073:0.141439:0.753108:0.141439:0.753108:0.139625:0.751073:0.139625:0.000000:0.000000
–2:@0.744304:0.141439:0.746338:0.141439:0.746338:0.139625:0.744304:0.139625:0.000000:0.000000
–3:@0.736855:0.141439:0.738889:0.141439:0.738889:0.139625:0.736855:0.139625:0.000000:0.000000
–2:@0.754120:0.150060:0.756154:0.150060:0.756154:0.148246:0.754120:0.148246:0.000000:0.000000
–3:@0.754120:0.155306:0.756154:0.155306:0.756154:0.153492:0.754120:0.153492:0.000000:0.000000
–4:@0.730462:0.141440:0.732497:0.141440:0.732497:0.139627:0.730462:0.139627:0.000000:0.000000
4:@0.786311:0.141440:0.787342:0.141440:0.787342:0.139627:0.786311:0.139627:0.000000
3:@0.779606:0.141440:0.780636:0.141440:0.780636:0.139627:0.779606:0.139627:0.000000
2:@0.772653:0.141440:0.773683:0.141440:0.773683:0.139627:0.772653:0.139627:0.000000
1:@0.765779:0.141440:0.766809:0.141440:0.766809:0.139627:0.765779:0.139627:0.000000
a) :@0.727402:0.184092:0.731390:0.184092:0.731390:0.180510:0.727402:0.180510:0.000000:0.000000:0.000000
Si necesita llegar a una velocidad de por lo menos 1000 km/h :@0.732484:0.184011:0.822295:0.184011:0.822295:0.180630:0.732484:0.180630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para superar la estratósfera, :@0.732484:0.187567:0.772848:0.187567:0.772848:0.184186:0.732484:0.184186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina:@0.772848:0.187662:0.789302:0.187662:0.789302:0.184189:0.772848:0.184189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el tiempo que demorará :@0.789302:0.187567:0.826375:0.187567:0.826375:0.184186:0.789302:0.184186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en superar esta capa de la atmósfera.:@0.732484:0.191124:0.785814:0.191124:0.785814:0.187742:0.732484:0.187742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.727402:0.197978:0.731703:0.197978:0.731703:0.194396:0.727402:0.194396:0.000000:0.000000:0.000000
Halla:@0.732484:0.197992:0.740614:0.197992:0.740614:0.194518:0.732484:0.194518:0.000000:0.000000:0.000000:0.000000:0.000000
 la aceleración al primer segundo.:@0.740614:0.197897:0.788879:0.197897:0.788879:0.194515:0.740614:0.194515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.722319:0.219509:0.723193:0.219509:0.723193:0.215927:0.722319:0.215927:0.000000
a)  :@0.727400:0.219509:0.732263:0.219509:0.732263:0.215927:0.727400:0.215927:0.000000:0.000000:0.000000:0.000000
y:@0.732265:0.219452:0.733839:0.219452:0.733839:0.216076:0.732265:0.216076:0.000000
 + 2 = 3  + 6  + 3:@0.733839:0.219428:0.760509:0.219428:0.760509:0.216047:0.733839:0.216047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.745137:0.219452:0.746668:0.219452:0.746668:0.216076:0.745137:0.216076:0.000000
2:@0.746667:0.218126:0.747681:0.218126:0.747681:0.216155:0.746667:0.216155:0.000000
x:@0.753329:0.219452:0.754860:0.219452:0.754860:0.216076:0.753329:0.216076:0.000000
0:@0.763800:0.249561:0.765200:0.249561:0.765200:0.247119:0.763800:0.247119:0.000000
1:@0.779450:0.249863:0.780850:0.249863:0.780850:0.247421:0.779450:0.247421:0.000000
1:@0.763441:0.242800:0.764841:0.242800:0.764841:0.240358:0.763441:0.240358:0.000000
–1:@0.761966:0.253365:0.764801:0.253365:0.764801:0.250923:0.761966:0.250923:0.000000:0.000000
–2:@0.761966:0.258952:0.764801:0.258952:0.764801:0.256510:0.761966:0.256510:0.000000:0.000000
–1:@0.750393:0.249865:0.753227:0.249865:0.753227:0.247423:0.750393:0.247423:0.000000:0.000000
–2:@0.736093:0.249865:0.738928:0.249865:0.738928:0.247423:0.736093:0.247423:0.000000:0.000000
3:@0.763441:0.231835:0.764841:0.231835:0.764841:0.229393:0.763441:0.229393:0.000000
2:@0.763441:0.237319:0.764841:0.237319:0.764841:0.234876:0.763441:0.234876:0.000000
4:@0.763441:0.226354:0.764841:0.226354:0.764841:0.223912:0.763441:0.223912:0.000000
y:@0.767641:0.224903:0.768904:0.224903:0.768904:0.222461:0.767641:0.222461:0.000000
x:@0.792054:0.246593:0.793284:0.246593:0.793284:0.244151:0.792054:0.244151:0.000000
b) :@0.808594:0.219509:0.812895:0.219509:0.812895:0.215927:0.808594:0.215927:0.000000:0.000000:0.000000
y:@0.813676:0.219452:0.815251:0.219452:0.815251:0.216076:0.813676:0.216076:0.000000
2:@0.815250:0.218126:0.816264:0.218126:0.816264:0.216155:0.815250:0.216155:0.000000
 – 10  + 25 =   + 4:@0.816265:0.219428:0.843642:0.219428:0.843642:0.216047:0.816265:0.216047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.823590:0.219452:0.825164:0.219452:0.825164:0.216076:0.823590:0.216076:0.000000
x:@0.836462:0.219452:0.837993:0.219452:0.837993:0.216076:0.836462:0.216076:0.000000
1:@0.855946:0.259011:0.857346:0.259011:0.857346:0.256569:0.855946:0.256569:0.000000
1:@0.849207:0.253614:0.850607:0.253614:0.850607:0.251172:0.849207:0.251172:0.000000
–1:@0.845216:0.259011:0.848051:0.259011:0.848051:0.256569:0.845216:0.256569:0.000000:0.000000
–4 –3:@0.829700:0.259011:0.837627:0.259011:0.837627:0.256569:0.829700:0.256569:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.839825:0.259011:0.842660:0.259011:0.842660:0.256569:0.839825:0.256569:0.000000:0.000000
–5:@0.824668:0.259011:0.827503:0.259011:0.827503:0.256569:0.824668:0.256569:0.000000:0.000000
–6:@0.819277:0.259011:0.822112:0.259011:0.822112:0.256569:0.819277:0.256569:0.000000:0.000000
3:@0.866100:0.259011:0.867500:0.259011:0.867500:0.256569:0.866100:0.256569:0.000000
3:@0.849204:0.245872:0.850604:0.245872:0.850604:0.243430:0.849204:0.243430:0.000000
6:@0.849204:0.234392:0.850604:0.234392:0.850604:0.231950:0.849204:0.231950:0.000000
2:@0.861021:0.259011:0.862421:0.259011:0.862421:0.256569:0.861021:0.256569:0.000000
2:@0.849204:0.249609:0.850604:0.249609:0.850604:0.247167:0.849204:0.247167:0.000000
4:@0.871175:0.259011:0.872575:0.259011:0.872575:0.256569:0.871175:0.256569:0.000000
4:@0.849204:0.242083:0.850604:0.242083:0.850604:0.239641:0.849204:0.239641:0.000000
7 (0, 7):@0.849204:0.230603:0.858287:0.231804:0.858287:0.229362:0.849204:0.228161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.876612:0.259011:0.878012:0.259011:0.878012:0.256569:0.876612:0.256569:0.000000
5:@0.849204:0.238130:0.850604:0.238130:0.850604:0.235687:0.849204:0.235687:0.000000
8:@0.849204:0.226650:0.850604:0.226650:0.850604:0.224208:0.849204:0.224208:0.000000
y:@0.852985:0.225031:0.854248:0.225031:0.854248:0.222589:0.852985:0.222589:0.000000
x:@0.878416:0.255733:0.879647:0.255733:0.879647:0.253291:0.878416:0.253291:0.000000
(–4, 5):@0.821297:0.238063:0.828180:0.238063:0.828180:0.235621:0.821297:0.235621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(0, 3):@0.853123:0.244281:0.858571:0.244281:0.858571:0.241839:0.853123:0.241839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–1, –2):@0.747409:0.256454:0.754810:0.256454:0.754810:0.254302:0.747409:0.254302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(-2, 0):@0.730506:0.246217:0.735893:0.246217:0.735893:0.244065:0.730506:0.244065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(0, 1):@0.767182:0.244078:0.771846:0.244078:0.771846:0.241926:0.767182:0.241926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.498210:0.490521:0.501670:0.490521:0.501670:0.487140:0.498210:0.487140:0.000000:0.000000
11:@0.896428:0.490417:0.900456:0.490417:0.900456:0.486855:0.896428:0.486855:0.000000:0.000000
unidad:@0.850582:0.340246:0.895382:0.340246:0.895382:0.321108:0.850582:0.321108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.860836:0.328841:0.884100:0.328841:0.884100:0.287516:0.860836:0.287516:0.000000
Bloques curriculares:@0.851204:0.351856:0.881777:0.351856:0.881777:0.348653:0.851204:0.348653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Álgebra y funciones:@0.851204:0.354173:0.872104:0.354173:0.872104:0.351714:0.851204:0.351714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observa y contesta:@0.516460:0.443225:0.549249:0.443225:0.549249:0.439436:0.516460:0.439436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  ¿Qué información matemática colo-:@0.516460:0.448872:0.576446:0.448872:0.576446:0.445490:0.516460:0.445490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
carías en una tabla para describir cada :@0.521541:0.452428:0.577290:0.452428:0.577290:0.449046:0.521541:0.449046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una de las imágenes de esta página?:@0.521541:0.455984:0.573427:0.455984:0.573427:0.452602:0.521541:0.452602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  ¿Crees que el registro de notas de tu :@0.516460:0.459539:0.577298:0.459539:0.577298:0.456158:0.516460:0.456158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
profesor es un ejemplo de matriz? :@0.521541:0.463096:0.577290:0.463096:0.577290:0.459714:0.521541:0.459714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué?:@0.521541:0.466652:0.535163:0.466652:0.535163:0.463270:0.521541:0.463270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  ¿Dónde encuentras otros ejemplos de :@0.516460:0.470208:0.577293:0.470208:0.577293:0.466826:0.516460:0.466826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matrices? Enúncialos.:@0.521541:0.473764:0.552058:0.473764:0.552058:0.470382:0.521541:0.470382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicaciones de matrices en la vida :@0.516460:0.341122:0.577190:0.341122:0.577190:0.337333:0.516460:0.337333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diaria:@0.516460:0.345001:0.526324:0.345001:0.526324:0.341213:0.516460:0.341213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.516460:0.356475:0.522623:0.356475:0.522623:0.343196:0.516460:0.343196:0.000000
 :@0.522627:0.354916:0.523911:0.354916:0.523911:0.349797:0.522627:0.349797:0.000000
uestra vida diaria está inundada de ma-:@0.523912:0.347992:0.576455:0.347992:0.576455:0.344919:0.523912:0.344919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trices. Estas actúan como contenedo-:@0.523912:0.351225:0.576448:0.351225:0.576448:0.348151:0.523912:0.348151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
res que nos permiten almacenar datos :@0.523912:0.354458:0.577212:0.354458:0.577212:0.351384:0.523912:0.351384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relacionados entre sí. Por ejemplo, una tabla :@0.516459:0.357690:0.577222:0.357690:0.577222:0.354617:0.516459:0.354617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nutricional nos da la información de energía :@0.516459:0.360923:0.577209:0.360923:0.577209:0.357849:0.516459:0.357849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y proteínas que una porción de alimento for-:@0.516459:0.364156:0.576448:0.364156:0.576448:0.361082:0.516459:0.361082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tificante  le  aporta  a  nuestro  organismo.  En :@0.516459:0.367389:0.577219:0.367389:0.577219:0.364315:0.516459:0.364315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medicina, mediante una matriz, se puede ver :@0.516459:0.370621:0.577218:0.370621:0.577218:0.367547:0.516459:0.367547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la utilización de un medicamento y analizar :@0.516459:0.373854:0.577223:0.373854:0.577223:0.370780:0.516459:0.370780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así su comercialización, prescripción y uso :@0.516459:0.377086:0.577219:0.377086:0.577219:0.374013:0.516459:0.374013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en una población determinada. En los Juegos :@0.516459:0.380319:0.577216:0.380319:0.577216:0.377245:0.516459:0.377245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Olímpicos, para determinar  el medallero, se :@0.516459:0.383552:0.577224:0.383552:0.577224:0.380478:0.516459:0.380478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utiliza una matriz en la que constan, en co-:@0.516459:0.386785:0.576445:0.386785:0.576445:0.383711:0.516459:0.383711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lumnas, los países participantes y las medallas :@0.516459:0.390017:0.577223:0.390017:0.577223:0.386943:0.516459:0.386943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de oro, plata y bronce que cada uno obtuvo.:@0.516459:0.393250:0.575106:0.393250:0.575106:0.390176:0.516459:0.390176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estas son algunas de las aplicaciones de las :@0.516459:0.399069:0.577223:0.399069:0.577223:0.395995:0.516459:0.395995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matrices en el contexto en que nos desenvol-:@0.516459:0.402301:0.576456:0.402301:0.576456:0.399228:0.516459:0.399228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vemos.:@0.516459:0.405534:0.525723:0.405534:0.525723:0.402460:0.516459:0.402460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adaptado de: https://es.scribd.com/doc/119256851/ :@0.520881:0.410571:0.577064:0.410571:0.577064:0.408111:0.520881:0.408111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicacion-de-Las-Matrices-en-La-Vida-Diaria:@0.528177:0.413157:0.576448:0.413157:0.576448:0.410698:0.528177:0.410698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matrices reales M [ ]. Operaciones:@0.516460:0.324347:0.665070:0.324347:0.665070:0.310313:0.516460:0.310313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mxn :@0.583671:0.327104:0.595106:0.327104:0.595106:0.318922:0.583671:0.318922:0.000000:0.000000:0.000000:0.000000
R:@0.598606:0.323992:0.609999:0.323992:0.609999:0.312968:0.598606:0.312968:0.000000
Shutterstock, 376923973:@0.843696:0.482191:0.843696:0.467584:0.841241:0.467584:0.841241:0.482191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 408558961:@0.843696:0.337672:0.843696:0.323064:0.841241:0.323064:0.841241:0.337672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Objetivos:@0.851842:0.421830:0.869413:0.421830:0.869413:0.414812:0.851842:0.414812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O.G.M.1. :@0.851842:0.426994:0.864964:0.426994:0.864964:0.423837:0.851842:0.423837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O.G.M.2. :@0.851842:0.433460:0.864964:0.433460:0.864964:0.430302:0.851842:0.430302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O.G.M.5.:@0.851842:0.439925:0.864215:0.439925:0.864215:0.436768:0.851842:0.436768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
UNIDAD 1:@0.869561:0.370552:0.885197:0.370552:0.885197:0.367349:0.869561:0.367349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matrices, :@0.857635:0.392421:0.867863:0.392421:0.867863:0.389962:0.857635:0.389962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones:@0.856002:0.395008:0.868878:0.395008:0.868878:0.392548:0.856002:0.392548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinantes:@0.869559:0.404331:0.885296:0.404331:0.885296:0.401871:0.869559:0.401871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistemas de :@0.886466:0.392475:0.899385:0.392475:0.899385:0.390016:0.886466:0.390016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales:@0.882621:0.395062:0.902615:0.395062:0.902615:0.392603:0.882621:0.392603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Álgebra y funciones:@0.866976:0.379671:0.887876:0.379671:0.887876:0.377212:0.866976:0.377212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
52:@0.498210:0.712421:0.501670:0.712421:0.501670:0.708801:0.498210:0.708801:0.000000:0.000000
53:@0.896428:0.712310:0.900456:0.712310:0.900456:0.708496:0.896428:0.708496:0.000000:0.000000
M.5.2.20. Escribir y reconocer la ecuación vectorial y paramétrica de una recta a partir de un punto de la recta y un vector dirección, o a partir de :@0.519586:0.707984:0.674893:0.707984:0.674893:0.705351:0.519586:0.705351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos puntos de la recta, y graficarlas en  .:@0.519586:0.710753:0.563568:0.710752:0.563568:0.708119:0.519586:0.708120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.560349:0.710599:0.562420:0.710599:0.562420:0.708452:0.560349:0.708452:0.000000
3:@0.562419:0.709739:0.563157:0.709739:0.563157:0.708203:0.562419:0.708203:0.000000
Ecuación vectorial y paramétrica  :@0.572202:0.517822:0.663244:0.517822:0.663244:0.507575:0.572202:0.507575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una recta en el espacio:@0.572202:0.526476:0.640973:0.526476:0.640973:0.516229:0.572202:0.516229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.572204:0.531495:0.589348:0.531495:0.589348:0.527607:0.572204:0.527607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean :@0.589349:0.531389:0.599709:0.531389:0.599709:0.527604:0.589349:0.527604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.601298:0.529657:0.603062:0.529657:0.603062:0.525464:0.601298:0.525464:0.000000
:@0.626009:0.528937:0.627773:0.528937:0.627773:0.524744:0.626009:0.524744:0.000000
R:@0.653276:0.532357:0.656383:0.532357:0.656383:0.527247:0.653276:0.527247:0.000000
(:@0.606858:0.532499:0.608291:0.532499:0.608291:0.527354:0.606858:0.527354:0.000000
):@0.621004:0.532499:0.622437:0.532499:0.622437:0.527354:0.621004:0.527354:0.000000
(:@0.631569:0.532499:0.633002:0.532499:0.633002:0.527354:0.631569:0.527354:0.000000
) (:@0.645542:0.532499:0.651206:0.532499:0.651206:0.527354:0.645542:0.527354:0.000000:0.000000:0.000000
=:@0.603898:0.531771:0.606261:0.531771:0.606261:0.527873:0.603898:0.527873:0.000000
=:@0.628609:0.531771:0.630971:0.531771:0.630971:0.527873:0.628609:0.527873:0.000000
∈:@0.648560:0.531771:0.651628:0.531771:0.651628:0.527873:0.648560:0.527873:0.000000
,,:@0.611825:0.531618:0.617148:0.531618:0.617148:0.527668:0.611825:0.527668:0.000000:0.000000
,:@0.622967:0.531618:0.623582:0.531618:0.623582:0.527668:0.622967:0.527668:0.000000
, ,:@0.636484:0.531618:0.641747:0.531618:0.641747:0.527668:0.636484:0.527668:0.000000:0.000000:0.000000
1:@0.610254:0.532158:0.611351:0.532158:0.611351:0.529874:0.610254:0.529874:0.000000
2:@0.614702:0.532158:0.615800:0.532158:0.615800:0.529874:0.614702:0.529874:0.000000
3:@0.619410:0.532158:0.620507:0.532158:0.620507:0.529874:0.619410:0.529874:0.000000
1:@0.634910:0.532158:0.636008:0.532158:0.636008:0.529874:0.634910:0.529874:0.000000
2:@0.639302:0.532158:0.640399:0.532158:0.640399:0.529874:0.639302:0.529874:0.000000
3:@0.643952:0.532158:0.645049:0.532158:0.645049:0.529874:0.643952:0.529874:0.000000
3:@0.656562:0.529696:0.657659:0.529696:0.657659:0.527412:0.656562:0.527412:0.000000
a:@0.601130:0.531646:0.603136:0.531646:0.603136:0.527703:0.601130:0.527703:0.000000
a aa:@0.608451:0.531646:0.619511:0.531646:0.619511:0.527703:0.608451:0.527703:0.000000:0.000000:0.000000:0.000000
b:@0.625695:0.531646:0.627765:0.531646:0.627765:0.527703:0.625695:0.527703:0.000000
b bba:@0.633071:0.531646:0.646050:0.531646:0.646050:0.527703:0.633071:0.527703:0.000000:0.000000:0.000000:0.000000:0.000000
 con   no :@0.658601:0.531389:0.677457:0.531389:0.677457:0.527604:0.658601:0.527604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.644214:0.529657:0.645979:0.529657:0.645979:0.525464:0.644214:0.525464:0.000000
:@0.668925:0.528937:0.670690:0.528937:0.670690:0.524744:0.668925:0.524744:0.000000
R:@0.696192:0.532357:0.699299:0.532357:0.699299:0.527247:0.696192:0.527247:0.000000
):@0.663918:0.532499:0.665351:0.532499:0.665351:0.527354:0.663918:0.527354:0.000000
(:@0.674484:0.532499:0.675917:0.532499:0.675917:0.527354:0.674484:0.527354:0.000000
):@0.688457:0.532499:0.689890:0.532499:0.689890:0.527354:0.688457:0.527354:0.000000
=:@0.646814:0.531771:0.649177:0.531771:0.649177:0.527873:0.646814:0.527873:0.000000
=:@0.671525:0.531771:0.673888:0.531771:0.673888:0.527873:0.671525:0.527873:0.000000
∈:@0.691476:0.531771:0.694545:0.531771:0.694545:0.527873:0.691476:0.527873:0.000000
,,:@0.654741:0.531618:0.660065:0.531618:0.660065:0.527668:0.654741:0.527668:0.000000:0.000000
,:@0.665883:0.531618:0.666498:0.531618:0.666498:0.527668:0.665883:0.527668:0.000000
, ,:@0.679400:0.531618:0.684664:0.531618:0.684664:0.527668:0.679400:0.527668:0.000000:0.000000:0.000000
1:@0.653168:0.532158:0.654266:0.532158:0.654266:0.529874:0.653168:0.529874:0.000000
2:@0.657617:0.532158:0.658714:0.532158:0.658714:0.529874:0.657617:0.529874:0.000000
3:@0.662324:0.532158:0.663422:0.532158:0.663422:0.529874:0.662324:0.529874:0.000000
1:@0.677825:0.532158:0.678922:0.532158:0.678922:0.529874:0.677825:0.529874:0.000000
2:@0.682217:0.532158:0.683314:0.532158:0.683314:0.529874:0.682217:0.529874:0.000000
3:@0.686867:0.532158:0.687964:0.532158:0.687964:0.529874:0.686867:0.529874:0.000000
3:@0.699476:0.529696:0.700574:0.529696:0.700574:0.527412:0.699476:0.527412:0.000000
a aa:@0.651365:0.531646:0.662425:0.531646:0.662425:0.527703:0.651365:0.527703:0.000000:0.000000:0.000000:0.000000
b:@0.668610:0.531646:0.670680:0.531646:0.670680:0.527703:0.668610:0.527703:0.000000
b bb:@0.675986:0.531646:0.686999:0.531646:0.686999:0.527703:0.675986:0.527703:0.000000:0.000000:0.000000:0.000000
nulo. El conjunto   definido como :@0.572202:0.536956:0.625784:0.536956:0.625784:0.533171:0.572202:0.533171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.599191:0.536983:0.601241:0.536983:0.601241:0.533204:0.599191:0.533204:0.000000
:@0.633685:0.533882:0.641139:0.533882:0.641139:0.529862:0.633685:0.529862:0.000000:0.000000
:@0.647082:0.533882:0.648847:0.533882:0.648847:0.529862:0.647082:0.529862:0.000000
:@0.656145:0.537109:0.659252:0.537109:0.659252:0.533090:0.656145:0.533090:0.000000
^:@0.631422:0.538434:0.605648:0.538434:0.605648:0.531063:0.631422:0.531063:0.000000
`:@0.659348:0.538434:0.633574:0.538434:0.633574:0.531063:0.659348:0.531063:0.000000
 :@0.641676:0.537074:0.633964:0.537074:0.633964:0.532910:0.641676:0.532910:0.000000
:@0.652736:0.537074:0.645024:0.537074:0.645024:0.532910:0.652736:0.532910:0.000000
=:@0.628552:0.537085:0.630967:0.537085:0.630967:0.533131:0.628552:0.533131:0.000000
=:@0.636239:0.537085:0.638653:0.537085:0.638653:0.533131:0.636239:0.533131:0.000000
|:@0.649325:0.537085:0.650444:0.537085:0.650444:0.533131:0.649325:0.533131:0.000000
,:@0.661840:0.537085:0.662455:0.537085:0.662455:0.533131:0.661840:0.533131:0.000000
R:@0.625863:0.537109:0.628001:0.537109:0.628001:0.533166:0.625863:0.533166:0.000000
x atbt:@0.633729:0.537109:0.652110:0.537109:0.652110:0.533166:0.633729:0.533166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 represen-:@0.661444:0.536957:0.676572:0.536957:0.676572:0.533171:0.661444:0.533171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ta una recta que pasa por   y es paralela al vector  . El vector   se :@0.572203:0.541465:0.677458:0.541465:0.677458:0.537680:0.572203:0.537680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.613375:0.539445:0.615139:0.539445:0.615139:0.535252:0.613375:0.535252:0.000000
:@0.638086:0.538725:0.639850:0.538725:0.639850:0.534532:0.638086:0.534532:0.000000
R:@0.665353:0.542145:0.668460:0.542145:0.668460:0.537035:0.665353:0.537035:0.000000
(:@0.618935:0.542287:0.620368:0.542287:0.620368:0.537142:0.618935:0.537142:0.000000
) (:@0.633081:0.542287:0.634259:0.542287:0.634259:0.537142:0.633081:0.537142:0.000000:0.000000:0.000000
( ) (:@0.643646:0.542287:0.652869:0.542577:0.652869:0.537431:0.643646:0.537142:0.000000:0.000000:0.000000:0.000000:0.000000
) (:@0.657619:0.542287:0.658970:0.542287:0.658970:0.537142:0.657619:0.537142:0.000000:0.000000:0.000000
=:@0.615975:0.541560:0.618337:0.541560:0.618337:0.537662:0.615975:0.537662:0.000000
=:@0.640686:0.541560:0.643048:0.541560:0.643048:0.537662:0.640686:0.537662:0.000000
∈:@0.660637:0.541560:0.663705:0.541560:0.663705:0.537662:0.660637:0.537662:0.000000
,,:@0.623902:0.541408:0.629225:0.541408:0.629225:0.537458:0.623902:0.537458:0.000000:0.000000
, ,,:@0.635044:0.541408:0.643118:0.541408:0.643118:0.537458:0.635044:0.537458:0.000000:0.000000:0.000000:0.000000
, , ,,:@0.648561:0.541408:0.661727:0.541696:0.661727:0.537746:0.648561:0.537458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.622331:0.541946:0.623428:0.541946:0.623428:0.539662:0.622331:0.539662:0.000000
2:@0.626779:0.541946:0.627876:0.541946:0.627876:0.539662:0.626779:0.539662:0.000000
3:@0.631487:0.541946:0.632584:0.541946:0.632584:0.539662:0.631487:0.539662:0.000000
1:@0.646987:0.541946:0.648085:0.541946:0.648085:0.539662:0.646987:0.539662:0.000000
2 1:@0.651379:0.541946:0.655929:0.542234:0.655929:0.539950:0.651379:0.539662:0.000000:0.000000:0.000000
3 2:@0.656029:0.541946:0.660378:0.542234:0.660378:0.539950:0.656029:0.539662:0.000000:0.000000:0.000000
3:@0.668638:0.539484:0.669736:0.539484:0.669736:0.537200:0.668638:0.537200:0.000000
a:@0.613207:0.541435:0.615213:0.541435:0.615213:0.537492:0.613207:0.537492:0.000000
a aa a:@0.620528:0.541435:0.636426:0.541435:0.636426:0.537492:0.620528:0.537492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
baaa:@0.637772:0.541435:0.647714:0.541723:0.647714:0.537780:0.637772:0.537492:0.000000:0.000000:0.000000:0.000000
b bb b bbb:@0.645148:0.541435:0.672343:0.541723:0.672343:0.537780:0.645148:0.537492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.627268:0.539445:0.629032:0.539445:0.629032:0.535252:0.627268:0.535252:0.000000
:@0.651978:0.538725:0.653743:0.538725:0.653743:0.534532:0.651978:0.534532:0.000000
R:@0.679246:0.542145:0.682353:0.542145:0.682353:0.537035:0.679246:0.537035:0.000000
) (:@0.671510:0.542287:0.677580:0.542577:0.677580:0.537431:0.671510:0.537142:0.000000:0.000000:0.000000
=:@0.629868:0.541560:0.632230:0.541560:0.632230:0.537662:0.629868:0.537662:0.000000
=:@0.654578:0.541560:0.656941:0.541560:0.656941:0.537662:0.654578:0.537662:0.000000
∈ =:@0.674529:0.541560:0.675549:0.541848:0.675549:0.537950:0.674529:0.537662:0.000000:0.000000:0.000000
,:@0.648936:0.541408:0.649552:0.541408:0.649552:0.537458:0.648936:0.537458:0.000000
, ,,:@0.662454:0.541408:0.668160:0.541696:0.668160:0.537746:0.662454:0.537458:0.000000:0.000000:0.000000:0.000000
1:@0.636222:0.541946:0.637319:0.541946:0.637319:0.539662:0.636222:0.539662:0.000000
2:@0.640670:0.541946:0.641768:0.541946:0.641768:0.539662:0.640670:0.539662:0.000000
3:@0.645378:0.541946:0.646475:0.541946:0.646475:0.539662:0.645378:0.539662:0.000000
1 3:@0.660878:0.541946:0.665085:0.542234:0.665085:0.539950:0.660878:0.539662:0.000000:0.000000:0.000000
2:@0.665270:0.541946:0.666367:0.541946:0.666367:0.539662:0.665270:0.539662:0.000000
3:@0.669920:0.541946:0.671017:0.541946:0.671017:0.539662:0.669920:0.539662:0.000000
3:@0.682530:0.539484:0.683627:0.539484:0.683627:0.537200:0.682530:0.537200:0.000000
a:@0.627100:0.541435:0.629105:0.541435:0.629105:0.537492:0.627100:0.537492:0.000000
b a aa:@0.651665:0.541435:0.664089:0.541723:0.664089:0.537780:0.651665:0.537492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.645876:0.539733:0.647640:0.539733:0.647640:0.535540:0.645876:0.535540:0.000000
:@0.670587:0.539013:0.672351:0.539013:0.672351:0.534820:0.670587:0.534820:0.000000
R:@0.697854:0.542433:0.700961:0.542433:0.700961:0.537323:0.697854:0.537323:0.000000
):@0.665582:0.542577:0.667015:0.542577:0.667015:0.537431:0.665582:0.537431:0.000000
):@0.690121:0.542577:0.691554:0.542577:0.691554:0.537431:0.690121:0.537431:0.000000
=:@0.648476:0.541848:0.650839:0.541848:0.650839:0.537950:0.648476:0.537950:0.000000
∈:@0.693138:0.541848:0.696207:0.541848:0.696207:0.537950:0.693138:0.537950:0.000000
, ,:@0.681062:0.541696:0.686326:0.541696:0.686326:0.537746:0.681062:0.537746:0.000000:0.000000:0.000000
1:@0.679489:0.542234:0.680586:0.542234:0.680586:0.539950:0.679489:0.539950:0.000000
2:@0.683880:0.542234:0.684977:0.542234:0.684977:0.539950:0.683880:0.539950:0.000000
3:@0.688530:0.542234:0.689628:0.542234:0.689628:0.539950:0.688530:0.539950:0.000000
3:@0.701140:0.539772:0.702237:0.539772:0.702237:0.537488:0.701140:0.537488:0.000000
b bb:@0.677649:0.541723:0.688662:0.541723:0.688662:0.537780:0.677649:0.537780:0.000000:0.000000:0.000000:0.000000
llama vector director de la recta  .:@0.572203:0.545446:0.624160:0.545446:0.624160:0.541661:0.572203:0.541661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.621520:0.545473:0.623570:0.545473:0.623570:0.541694:0.621520:0.541694:0.000000
La ecuación :@0.572203:0.550751:0.591554:0.550751:0.591554:0.546966:0.572203:0.546966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.591974:0.547387:0.599698:0.547387:0.599698:0.543368:0.591974:0.543368:0.000000:0.000000:0.000000
:@0.605642:0.547387:0.607406:0.547387:0.607406:0.543368:0.605642:0.543368:0.000000
:@0.617782:0.550614:0.620889:0.550614:0.620889:0.546595:0.617782:0.546595:0.000000
 :@0.600232:0.550579:0.593652:0.550579:0.593652:0.546415:0.600232:0.546415:0.000000
 :@0.610160:0.550579:0.603580:0.550579:0.603580:0.546415:0.610160:0.546415:0.000000
:@0.614374:0.550579:0.617244:0.550579:0.617244:0.546415:0.614374:0.546415:0.000000
=:@0.594616:0.550766:0.597043:0.550766:0.597043:0.546217:0.594616:0.546217:0.000000
,:@0.607501:0.550766:0.608577:0.550766:0.608577:0.546217:0.607501:0.546217:0.000000
xa tb:@0.592017:0.550614:0.607531:0.550614:0.607531:0.546671:0.592017:0.546671:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.612484:0.550614:0.613750:0.550614:0.613750:0.546671:0.612484:0.546671:0.000000
 se llama :@0.622461:0.550751:0.637044:0.550751:0.637044:0.546965:0.622461:0.546965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación vectorial:@0.637378:0.550857:0.667819:0.550857:0.667819:0.546968:0.637378:0.546968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de la :@0.667816:0.550751:0.677463:0.550751:0.677463:0.546965:0.667816:0.546965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta   en la que el número real   se llama :@0.572203:0.554732:0.637180:0.554732:0.637180:0.550946:0.572203:0.550946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.580769:0.555438:0.583747:0.555438:0.583747:0.550541:0.580769:0.550541:0.000000
t:@0.622053:0.554758:0.623265:0.554758:0.623265:0.550979:0.622053:0.550979:0.000000
parámetro:@0.637180:0.554838:0.654774:0.554838:0.654774:0.550950:0.637180:0.550950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.654775:0.554732:0.656251:0.554732:0.656251:0.550946:0.654775:0.550946:0.000000:0.000000
Nota que       y los elementos de   son puntos :@0.572203:0.559748:0.647394:0.559747:0.647394:0.555961:0.572203:0.555963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.587129:0.559774:0.589178:0.559774:0.589178:0.555996:0.587129:0.555996:0.000000
:@0.589838:0.559698:0.593274:0.559698:0.593274:0.556337:0.589838:0.556337:0.000000
R:@0.593938:0.560455:0.596916:0.560455:0.596916:0.555558:0.593938:0.555558:0.000000
3:@0.596917:0.558289:0.597978:0.558289:0.597978:0.556082:0.596917:0.556082:0.000000
R:@0.626810:0.559773:0.628860:0.559773:0.628860:0.555994:0.626810:0.555994:0.000000
:@0.647251:0.556383:0.649016:0.556383:0.649016:0.552364:0.647251:0.552364:0.000000
:@0.668612:0.559610:0.671720:0.559610:0.671720:0.555590:0.668612:0.555590:0.000000
:@0.665204:0.559575:0.668075:0.559575:0.668075:0.555411:0.665204:0.555411:0.000000
=( ,, ):@0.649897:0.559762:0.664748:0.559762:0.664748:0.555213:0.649897:0.555213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.671896:0.557763:0.673140:0.557763:0.673140:0.555134:0.671896:0.555134:0.000000
x:@0.647297:0.559610:0.648966:0.559610:0.648966:0.555667:0.647297:0.555667:0.000000
x yz:@0.654802:0.559610:0.663116:0.559610:0.663116:0.555667:0.654802:0.555667:0.000000:0.000000:0.000000:0.000000
 :@0.676573:0.559747:0.677460:0.559747:0.677460:0.555961:0.676573:0.555961:0.000000
que se expresan en la forma :@0.572204:0.564736:0.615311:0.564736:0.615311:0.560951:0.572204:0.560951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.616112:0.561374:0.623837:0.561374:0.623837:0.557354:0.616112:0.557354:0.000000:0.000000:0.000000
:@0.629780:0.561374:0.631545:0.561374:0.631545:0.557354:0.629780:0.557354:0.000000
 :@0.624373:0.564567:0.627721:0.564567:0.627721:0.560402:0.624373:0.560402:0.000000
=:@0.618757:0.564754:0.621185:0.564754:0.621185:0.560205:0.618757:0.560205:0.000000
,:@0.631642:0.564754:0.632718:0.564754:0.632718:0.560205:0.631642:0.560205:0.000000
xa tb:@0.616157:0.564601:0.631672:0.564601:0.631672:0.560658:0.616157:0.560658:0.000000:0.000000:0.000000:0.000000:0.000000
 para algún      . :@0.633241:0.564737:0.661806:0.564737:0.661806:0.560951:0.633241:0.560951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.650930:0.564763:0.652143:0.564763:0.652143:0.560984:0.650930:0.560984:0.000000
:@0.653030:0.564687:0.656465:0.564687:0.656465:0.561326:0.653030:0.561326:0.000000
R:@0.657352:0.564514:0.660330:0.564514:0.660330:0.561429:0.657352:0.561429:0.000000
Tenemos la siguiente equivalencia: :@0.572202:0.568718:0.624981:0.568718:0.624981:0.564932:0.572202:0.564932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x R:@0.573067:0.573420:0.580997:0.573420:0.580997:0.569427:0.573067:0.569427:0.000000:0.000000:0.000000
t:@0.588774:0.573420:0.590055:0.573420:0.590055:0.569427:0.588774:0.569427:0.000000
, tal que  =:@0.597602:0.573392:0.617865:0.573392:0.617865:0.569392:0.597602:0.569392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a tb:@0.612894:0.573420:0.628140:0.573420:0.628140:0.569427:0.612894:0.569427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.620823:0.573385:0.624213:0.573385:0.624213:0.569168:0.620823:0.569168:0.000000
,:@0.628382:0.573392:0.629005:0.573392:0.629005:0.569392:0.628382:0.569392:0.000000
y su negación :@0.572204:0.580430:0.593835:0.580430:0.593835:0.576645:0.572204:0.576645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x R:@0.594686:0.580047:0.602787:0.580047:0.602787:0.576104:0.594686:0.576104:0.000000:0.000000:0.000000
t:@0.610735:0.580047:0.612000:0.580047:0.612000:0.576104:0.610735:0.576104:0.000000
, tal que :@0.619454:0.580019:0.633350:0.580019:0.633350:0.576070:0.619454:0.576070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.634555:0.580047:0.636225:0.580047:0.636225:0.576104:0.634555:0.576104:0.000000
a tb:@0.640973:0.580047:0.650507:0.580047:0.650507:0.576104:0.640973:0.576104:0.000000:0.000000:0.000000:0.000000
+:@0.643281:0.580013:0.646629:0.580013:0.646629:0.575848:0.643281:0.575848:0.000000
.:@0.650386:0.580200:0.651462:0.580200:0.651462:0.575651:0.650386:0.575651:0.000000
  :@0.651932:0.580430:0.653706:0.580430:0.653706:0.576645:0.651932:0.576645:0.000000:0.000000
 :@0.662577:0.580430:0.663464:0.580430:0.663464:0.576645:0.662577:0.576645:0.000000
Ecuación vectorial de la recta que pasa por dos puntos:@0.572204:0.586463:0.665451:0.586463:0.665451:0.582406:0.572204:0.582406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dados los puntos  :@0.572204:0.591307:0.601630:0.591307:0.601630:0.587522:0.572204:0.587522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.602786:0.591211:0.604856:0.591211:0.604856:0.587268:0.602786:0.587268:0.000000
=( , , ),:@0.605541:0.591363:0.625466:0.591363:0.625466:0.586814:0.605541:0.586814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a a:@0.610249:0.591211:0.621589:0.591211:0.621589:0.587268:0.610249:0.587268:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.611998:0.591826:0.613242:0.591826:0.613242:0.589197:0.611998:0.589197:0.000000
2:@0.616672:0.591826:0.617916:0.591826:0.617916:0.589197:0.616672:0.589197:0.000000
3:@0.621490:0.591826:0.622734:0.591826:0.622734:0.589197:0.621490:0.589197:0.000000
q:@0.627394:0.591211:0.629443:0.591211:0.629443:0.587268:0.627394:0.587268:0.000000
=( , , ):@0.630152:0.591363:0.648924:0.591363:0.648924:0.586814:0.630152:0.586814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b b b:@0.634770:0.591211:0.646066:0.591211:0.646066:0.587268:0.634770:0.587268:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.636552:0.591826:0.637796:0.591826:0.637796:0.589197:0.636552:0.589197:0.000000
2:@0.641170:0.591826:0.642414:0.591826:0.642414:0.589197:0.641170:0.589197:0.000000
3:@0.645933:0.591826:0.647177:0.591826:0.647177:0.589197:0.645933:0.589197:0.000000
3:@0.656020:0.589364:0.657264:0.589364:0.657264:0.586735:0.656020:0.586735:0.000000
con:@0.658866:0.591183:0.664783:0.591183:0.664783:0.587233:0.658866:0.587233:0.000000:0.000000:0.000000
p q:@0.666320:0.591211:0.674956:0.591211:0.674956:0.587268:0.666320:0.587268:0.000000:0.000000:0.000000
,:@0.675216:0.591183:0.675832:0.591183:0.675832:0.587233:0.675216:0.587233:0.000000
 :@0.676573:0.591307:0.677460:0.591307:0.677460:0.587522:0.676573:0.587522:0.000000
la :@0.572204:0.595288:0.575586:0.595288:0.575586:0.591503:0.572204:0.591503:0.000000:0.000000:0.000000
ecuación vectorial:@0.575578:0.595395:0.605685:0.595395:0.605685:0.591506:0.575578:0.591506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de la recta  que pasa por estos dos puntos se :@0.605681:0.595288:0.677472:0.595288:0.677472:0.591503:0.605681:0.591503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R :@0.623192:0.595315:0.626129:0.595315:0.626129:0.591536:0.623192:0.591536:0.000000:0.000000
deduce así: El vector director   de la recta :@0.572204:0.599807:0.637508:0.599807:0.637508:0.596021:0.572204:0.596022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.593396:0.597776:0.595160:0.597776:0.595160:0.593584:0.593396:0.593584:0.000000
:@0.618107:0.597056:0.619871:0.597056:0.619871:0.592864:0.618107:0.592864:0.000000
R:@0.645374:0.600476:0.648481:0.600476:0.648481:0.595366:0.645374:0.595366:0.000000
(:@0.598954:0.600619:0.600387:0.600619:0.600387:0.595473:0.598954:0.595473:0.000000
):@0.613100:0.600619:0.614533:0.600619:0.614533:0.595473:0.613100:0.595473:0.000000
(:@0.623665:0.600619:0.625098:0.600619:0.625098:0.595473:0.623665:0.595473:0.000000
):@0.637639:0.600619:0.639072:0.600619:0.639072:0.595473:0.637639:0.595473:0.000000
=:@0.595996:0.599891:0.598358:0.599891:0.598358:0.595993:0.595996:0.595993:0.000000
=:@0.620707:0.599891:0.623069:0.599891:0.623069:0.595993:0.620707:0.595993:0.000000
∈:@0.640658:0.599891:0.643726:0.599891:0.643726:0.595993:0.640658:0.595993:0.000000
,,:@0.603923:0.599739:0.609246:0.599739:0.609246:0.595789:0.603923:0.595789:0.000000:0.000000
,:@0.615065:0.599739:0.615680:0.599739:0.615680:0.595789:0.615065:0.595789:0.000000
, ,:@0.628582:0.599739:0.633845:0.599739:0.633845:0.595789:0.628582:0.595789:0.000000:0.000000:0.000000
1:@0.602350:0.600277:0.603447:0.600277:0.603447:0.597993:0.602350:0.597993:0.000000
2:@0.606799:0.600277:0.607896:0.600277:0.607896:0.597993:0.606799:0.597993:0.000000
3:@0.611506:0.600277:0.612603:0.600277:0.612603:0.597993:0.611506:0.597993:0.000000
1:@0.627007:0.600277:0.628104:0.600277:0.628104:0.597993:0.627007:0.597993:0.000000
2:@0.631398:0.600277:0.632495:0.600277:0.632495:0.597993:0.631398:0.597993:0.000000
3:@0.636048:0.600277:0.637146:0.600277:0.637146:0.597993:0.636048:0.597993:0.000000
3:@0.648658:0.597815:0.649755:0.597815:0.649755:0.595532:0.648658:0.595532:0.000000
a:@0.593228:0.599767:0.595234:0.599767:0.595234:0.595824:0.593228:0.595824:0.000000
a aa:@0.600549:0.599767:0.611609:0.599767:0.611609:0.595824:0.600549:0.595824:0.000000:0.000000:0.000000:0.000000
b:@0.617793:0.599767:0.619863:0.599767:0.619863:0.595824:0.617793:0.595824:0.000000
b bb:@0.625169:0.599767:0.636182:0.599767:0.636182:0.595824:0.625169:0.595824:0.000000:0.000000:0.000000:0.000000
R,:@0.637508:0.599833:0.640188:0.599833:0.640188:0.596054:0.637508:0.596054:0.000000:0.000000
b p q:@0.572831:0.604702:0.586983:0.604702:0.586983:0.600759:0.572831:0.600759:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.575588:0.604854:0.578015:0.604854:0.578015:0.600305:0.575588:0.600305:0.000000
=( , , ) ( , , ) =(:@0.587692:0.604854:0.631343:0.604854:0.631343:0.600305:0.587692:0.600305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a a:@0.592400:0.604702:0.603737:0.604702:0.603737:0.600759:0.592400:0.600759:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.594146:0.605317:0.595390:0.605317:0.595390:0.602687:0.594146:0.602687:0.000000
2:@0.598820:0.605317:0.600064:0.605317:0.600064:0.602687:0.598820:0.602687:0.000000
3:@0.603640:0.605317:0.604884:0.605317:0.604884:0.602687:0.603640:0.602687:0.000000
b b b:@0.611945:0.604702:0.623239:0.604702:0.623239:0.600759:0.611945:0.600759:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.613727:0.605317:0.614971:0.605317:0.614971:0.602687:0.613727:0.602687:0.000000
2:@0.618344:0.605317:0.619588:0.605317:0.619588:0.602687:0.618344:0.602687:0.000000
3:@0.623106:0.605317:0.624350:0.605317:0.624350:0.602687:0.623106:0.602687:0.000000
a:@0.631503:0.604702:0.633508:0.604702:0.633508:0.600759:0.631503:0.600759:0.000000
1:@0.633248:0.605317:0.634492:0.605317:0.634492:0.602687:0.633248:0.602687:0.000000
b a:@0.638505:0.604702:0.645002:0.604702:0.645002:0.600759:0.638505:0.600759:0.000000:0.000000:0.000000
1:@0.640288:0.605317:0.641532:0.605317:0.641532:0.602687:0.640288:0.602687:0.000000
,:@0.641710:0.604854:0.642786:0.604854:0.642786:0.600305:0.641710:0.600305:0.000000
2:@0.644960:0.605317:0.646204:0.605317:0.646204:0.602687:0.644960:0.602687:0.000000
b a:@0.650418:0.604702:0.657330:0.604702:0.657330:0.600759:0.650418:0.600759:0.000000:0.000000:0.000000
2:@0.652413:0.605317:0.653657:0.605317:0.653657:0.602687:0.652413:0.602687:0.000000
,:@0.654038:0.604854:0.655114:0.604854:0.655114:0.600305:0.654038:0.600305:0.000000
3:@0.657233:0.605317:0.658477:0.605317:0.658477:0.602687:0.657233:0.602687:0.000000
b:@0.662533:0.604702:0.664603:0.604702:0.664603:0.600759:0.662533:0.600759:0.000000
3:@0.664471:0.605317:0.665715:0.605317:0.665715:0.602687:0.664471:0.602687:0.000000
),:@0.666029:0.604854:0.668448:0.604854:0.668448:0.600305:0.666029:0.600305:0.000000:0.000000
 es el :@0.669033:0.605086:0.677461:0.605086:0.677461:0.601301:0.669033:0.601301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector director de la recta  . La ecuación vectorial de esta recta está :@0.572203:0.609067:0.677469:0.609067:0.677469:0.605282:0.572203:0.605282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.613032:0.609094:0.615082:0.609094:0.615082:0.605315:0.613032:0.605315:0.000000
definida como: :@0.572203:0.613048:0.595934:0.613048:0.595934:0.609263:0.572203:0.609263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x p tb:@0.577543:0.617943:0.593128:0.617943:0.593128:0.614000:0.577543:0.614000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.580120:0.618096:0.582547:0.618096:0.582547:0.613547:0.580120:0.613547:0.000000
+:@0.585903:0.617909:0.589251:0.617909:0.589251:0.613744:0.585903:0.613744:0.000000
=( , , ):@0.593994:0.618096:0.612933:0.618096:0.612933:0.613547:0.593994:0.613547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a a:@0.598702:0.617943:0.610040:0.617943:0.610040:0.614000:0.598702:0.614000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.600450:0.618558:0.601694:0.618558:0.601694:0.615928:0.600450:0.615928:0.000000
2:@0.605123:0.618558:0.606367:0.618558:0.606367:0.615928:0.605123:0.615928:0.000000
3:@0.609942:0.618558:0.611186:0.618558:0.611186:0.615928:0.609942:0.615928:0.000000
+:@0.613269:0.617909:0.616617:0.617909:0.616617:0.613744:0.613269:0.613744:0.000000
t a:@0.617013:0.617943:0.622022:0.617943:0.622022:0.614000:0.617013:0.614000:0.000000:0.000000:0.000000
(:@0.618425:0.618096:0.619858:0.618096:0.619858:0.613547:0.618425:0.613547:0.000000
1:@0.621766:0.618558:0.623010:0.618558:0.623010:0.615928:0.621766:0.615928:0.000000
b a:@0.627021:0.617943:0.633520:0.617943:0.633520:0.614000:0.627021:0.614000:0.000000:0.000000:0.000000
1:@0.628804:0.618558:0.630048:0.618558:0.630048:0.615928:0.628804:0.615928:0.000000
,:@0.630228:0.618096:0.631304:0.618096:0.631304:0.613547:0.630228:0.613547:0.000000
2:@0.633478:0.618558:0.634722:0.618558:0.634722:0.615928:0.633478:0.615928:0.000000
b a:@0.638936:0.617943:0.645848:0.617943:0.645848:0.614000:0.638936:0.614000:0.000000:0.000000:0.000000
2:@0.640931:0.618558:0.642175:0.618558:0.642175:0.615928:0.640931:0.615928:0.000000
,:@0.642556:0.618096:0.643632:0.618096:0.643632:0.613547:0.642556:0.613547:0.000000
3:@0.645749:0.618558:0.646993:0.618558:0.646993:0.615928:0.645749:0.615928:0.000000
b:@0.651049:0.617943:0.653119:0.617943:0.653119:0.614000:0.651049:0.614000:0.000000
3:@0.652989:0.618558:0.654233:0.618558:0.654233:0.615928:0.652989:0.615928:0.000000
),:@0.654547:0.618096:0.656966:0.618096:0.656966:0.613547:0.654547:0.613547:0.000000:0.000000
t:@0.662101:0.617943:0.663366:0.617943:0.663366:0.614000:0.662101:0.614000:0.000000
.:@0.670460:0.618096:0.671536:0.618096:0.671536:0.613547:0.670460:0.613547:0.000000
Analizamos las ecuaciones vectorial y paramétrica de la recta   a tra-:@0.572204:0.623751:0.676573:0.623751:0.676573:0.619965:0.572204:0.619965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.665639:0.623777:0.667689:0.623777:0.667689:0.619998:0.665639:0.619998:0.000000
vés de ejemplos.:@0.572204:0.627732:0.596986:0.627732:0.596986:0.623946:0.572204:0.623946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos resueltos:@0.572204:0.633531:0.600109:0.633531:0.600109:0.629679:0.572204:0.629679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.572204:0.638773:0.574831:0.638773:0.574831:0.634938:0.572204:0.634938:0.000000:0.000000
  Sean :@0.574831:0.638723:0.585377:0.638723:0.585377:0.634938:0.574831:0.634938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.586233:0.638788:0.587971:0.638788:0.587971:0.634845:0.586233:0.634845:0.000000
=(2, 1, 3) y =:@0.588722:0.638761:0.613721:0.638761:0.613721:0.634811:0.588722:0.634811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.608639:0.638788:0.610777:0.638788:0.610777:0.634845:0.608639:0.634845:0.000000
x t:@0.616462:0.638788:0.623159:0.638788:0.623159:0.634845:0.616462:0.634845:0.000000:0.000000:0.000000
= (2, 1, 3)|:@0.618958:0.638761:0.636973:0.638761:0.636973:0.634811:0.618958:0.634811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.637356:0.638788:0.638621:0.638788:0.638621:0.634845:0.637356:0.634845:0.000000
{:@0.614162:0.640113:0.616314:0.640113:0.616314:0.632742:0.614162:0.632742:0.000000
}:@0.645810:0.640113:0.647962:0.640113:0.647962:0.632742:0.645810:0.632742:0.000000
.:@0.648086:0.638761:0.648701:0.638761:0.648701:0.634811:0.648086:0.634811:0.000000
 Sea       la re-:@0.649397:0.638724:0.676572:0.638724:0.676572:0.634938:0.649397:0.634938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.656697:0.638750:0.658747:0.638750:0.658747:0.634972:0.656697:0.634972:0.000000
⊂:@0.659819:0.638870:0.662760:0.638870:0.662760:0.635134:0.659819:0.635134:0.000000
R:@0.663828:0.638502:0.666806:0.638502:0.666806:0.635416:0.663828:0.635416:0.000000
3:@0.666805:0.637266:0.667865:0.637266:0.667865:0.635059:0.666805:0.635059:0.000000
presentación de una recta que pasa por el origen :@0.577288:0.643714:0.654213:0.643714:0.654213:0.639928:0.577288:0.639928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0=(0, 0, 0):@0.655145:0.643083:0.673214:0.643083:0.673214:0.639133:0.655145:0.639133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.673794:0.643714:0.677460:0.643714:0.677460:0.639929:0.673794:0.639929:0.000000:0.000000:0.000000
es paralela al vector  . La ecuación vectorial de la recta   está de-:@0.577286:0.648939:0.676564:0.648939:0.676564:0.645154:0.577286:0.645154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.608470:0.649058:0.610208:0.649058:0.610208:0.645115:0.608470:0.645115:0.000000
=(2, 1, 3) y =:@0.610957:0.649030:0.635957:0.649030:0.635957:0.645080:0.610957:0.645080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.630874:0.649058:0.633013:0.649058:0.633013:0.645115:0.630874:0.645115:0.000000
x t:@0.638698:0.649058:0.645396:0.649058:0.645396:0.645115:0.638698:0.645115:0.000000:0.000000:0.000000
= (2, 1, 3)|:@0.641195:0.649030:0.659210:0.649030:0.659210:0.645080:0.641195:0.645080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.659593:0.649058:0.660858:0.649058:0.660858:0.645115:0.659593:0.645115:0.000000
{:@0.636398:0.650383:0.638549:0.650383:0.638549:0.643012:0.636398:0.643012:0.000000
}:@0.668046:0.650383:0.670197:0.650383:0.670197:0.643012:0.668046:0.643012:0.000000
.:@0.670321:0.649030:0.670937:0.649030:0.670937:0.645080:0.670321:0.645080:0.000000
R:@0.661762:0.648966:0.663812:0.648966:0.663812:0.645187:0.661762:0.645187:0.000000
finida como :@0.577286:0.653352:0.596179:0.653352:0.596179:0.649566:0.577286:0.649566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x t:@0.596989:0.653326:0.603679:0.653326:0.603679:0.649383:0.596989:0.649383:0.000000:0.000000:0.000000
= (2, 1, 3),:@0.599479:0.653299:0.616564:0.653299:0.616564:0.649349:0.599479:0.649349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.621803:0.653326:0.623068:0.653326:0.623068:0.649383:0.621803:0.649383:0.000000
.:@0.630342:0.653299:0.630957:0.653299:0.630957:0.649349:0.630342:0.649349:0.000000
 Algunos elementos de  son::@0.631601:0.653354:0.675277:0.653354:0.675277:0.649568:0.631601:0.649568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R :@0.666455:0.653380:0.669350:0.653380:0.669350:0.649602:0.666455:0.649602:0.000000:0.000000
   De la ecuación vectorial :@0.572204:0.681816:0.617335:0.681816:0.617335:0.678030:0.572204:0.678030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x t:@0.619144:0.681918:0.626024:0.681918:0.626024:0.677863:0.619144:0.677863:0.000000:0.000000:0.000000
= (2,1,3),:@0.621704:0.681890:0.636738:0.681890:0.636738:0.677828:0.621704:0.677828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.641319:0.681918:0.642621:0.681918:0.642621:0.677863:0.641319:0.677863:0.000000
, se obtienen las :@0.649828:0.681815:0.677460:0.681815:0.677460:0.678030:0.649828:0.678030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones paramétricas. :@0.577286:0.685796:0.616186:0.685796:0.616186:0.682011:0.577286:0.682011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Para el efecto, sea  :@0.572205:0.689970:0.605574:0.689970:0.605574:0.686185:0.572205:0.686185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x y z:@0.606426:0.690040:0.616118:0.688267:0.616118:0.684324:0.606426:0.686097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=( , , ) , existe:@0.608914:0.690012:0.633888:0.688239:0.633888:0.684289:0.608914:0.686062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z R:@0.613350:0.690040:0.623426:0.688267:0.623426:0.684324:0.613350:0.686097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.626576:0.690040:0.628714:0.690040:0.628714:0.686097:0.626576:0.686097:0.000000
, existe:@0.628882:0.690012:0.639176:0.690012:0.639176:0.686062:0.628882:0.686062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.640614:0.690040:0.641879:0.690040:0.641879:0.686097:0.640614:0.686097:0.000000
,:@0.649339:0.690012:0.649954:0.690012:0.649954:0.686062:0.649339:0.686062:0.000000
x x y z:@0.606428:0.696295:0.616118:0.694523:0.616118:0.690580:0.606428:0.692352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=( , , )= (2,1,3)=(2 , ,3 ),:@0.608914:0.696268:0.654307:0.696268:0.654307:0.692318:0.608914:0.692318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z t:@0.613350:0.696296:0.622285:0.694523:0.622285:0.690580:0.613350:0.692353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.626308:0.696296:0.627574:0.696296:0.627574:0.692353:0.626308:0.692353:0.000000
t t t:@0.644211:0.696296:0.652379:0.696296:0.652379:0.692353:0.644211:0.692353:0.000000:0.000000:0.000000:0.000000:0.000000
  tal que :@0.649024:0.689826:0.662205:0.689968:0.662205:0.686183:0.649024:0.686040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.599397:0.695734:0.600283:0.695734:0.600283:0.691949:0.599397:0.691949:0.000000
x:@0.601135:0.688267:0.602805:0.688267:0.602805:0.684324:0.601135:0.684324:0.000000
=( , , ):@0.603625:0.688239:0.617465:0.688239:0.617465:0.684289:0.603625:0.684289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.635325:0.688267:0.636590:0.688267:0.636590:0.684324:0.635325:0.684324:0.000000
,:@0.644048:0.688239:0.644664:0.688239:0.644664:0.684289:0.644048:0.684289:0.000000
x:@0.601137:0.694523:0.602807:0.694523:0.602807:0.690580:0.601137:0.690580:0.000000
=( , , )= (2,1,3)=(2 , ,3 ),:@0.603625:0.694495:0.649019:0.694495:0.649019:0.690546:0.603625:0.690546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t t t:@0.638922:0.694523:0.647090:0.694523:0.647090:0.690580:0.638922:0.690580:0.000000:0.000000:0.000000:0.000000:0.000000
y de la definición de la igualdad de elementos de  , resulta :@0.572204:0.700064:0.663558:0.700064:0.663558:0.696278:0.572204:0.696278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.647051:0.699842:0.650028:0.699842:0.650028:0.696756:0.647051:0.696756:0.000000
3:@0.650026:0.698030:0.651086:0.698030:0.651086:0.695823:0.650026:0.695823:0.000000
x:@0.665575:0.695803:0.667279:0.695803:0.667279:0.691780:0.665575:0.691780:0.000000
=2 ,:@0.668104:0.695774:0.675427:0.695774:0.675427:0.691745:0.668104:0.691745:0.000000:0.000000:0.000000:0.000000
t:@0.673091:0.695803:0.674382:0.695803:0.674382:0.691780:0.673091:0.691780:0.000000
y t:@0.665672:0.700034:0.672486:0.700034:0.672486:0.696011:0.665672:0.696011:0.000000:0.000000:0.000000
= ,:@0.668201:0.700005:0.673530:0.700005:0.673530:0.695976:0.668201:0.695976:0.000000:0.000000:0.000000
z:@0.665580:0.704342:0.667095:0.704342:0.667095:0.700320:0.665580:0.700320:0.000000
=3 .:@0.667837:0.704314:0.674896:0.704314:0.674896:0.700284:0.667837:0.700284:0.000000:0.000000:0.000000:0.000000
t:@0.672728:0.704342:0.674018:0.704342:0.674018:0.700320:0.672728:0.700320:0.000000
para  = 1, = 1(2, 1, 3)=( 2,  1,  3),:@0.577821:0.657538:0.647717:0.657538:0.647717:0.653588:0.577821:0.653588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.586497:0.657566:0.587762:0.657566:0.587762:0.653623:0.586497:0.653623:0.000000
x:@0.597991:0.657566:0.599661:0.657566:0.599661:0.653623:0.597991:0.653623:0.000000
para  =0, =0(2, 1, 3)=(0, 0, 0)= 0,:@0.577819:0.663721:0.637855:0.663723:0.637855:0.659773:0.577819:0.659771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.586495:0.663749:0.587761:0.663749:0.587761:0.659806:0.586495:0.659806:0.000000
x:@0.595907:0.663749:0.597577:0.663749:0.597577:0.659806:0.595907:0.659806:0.000000
si  = 3:@0.577821:0.668916:0.591844:0.668916:0.591844:0.664966:0.577821:0.664966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.581828:0.668943:0.583093:0.668943:0.583093:0.665000:0.581828:0.665000:0.000000
s:@0.591986:0.668943:0.593411:0.668943:0.593411:0.665000:0.591986:0.665000:0.000000
+:@0.593755:0.668909:0.597103:0.668909:0.597103:0.664744:0.593755:0.664744:0.000000
5,:@0.597409:0.668916:0.599905:0.668916:0.599905:0.664966:0.597409:0.664966:0.000000:0.000000
s:@0.605144:0.668943:0.606569:0.668943:0.606569:0.665000:0.605144:0.665000:0.000000
,:@0.613862:0.668916:0.614478:0.668916:0.614478:0.664966:0.613862:0.664966:0.000000
x:@0.579051:0.675126:0.580721:0.675126:0.580721:0.671183:0.579051:0.671183:0.000000
=( 3:@0.581542:0.675100:0.590747:0.675100:0.590747:0.671150:0.581542:0.671150:0.000000:0.000000:0.000000:0.000000
s:@0.590889:0.675128:0.592314:0.675128:0.592314:0.671185:0.590889:0.671185:0.000000
+:@0.592658:0.675093:0.596006:0.675093:0.596006:0.670929:0.592658:0.670929:0.000000
5)(2, 1, 3)=(2( 3:@0.596312:0.675100:0.624614:0.675100:0.624614:0.671150:0.596312:0.671150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.624756:0.675128:0.626180:0.675128:0.626180:0.671185:0.624756:0.671185:0.000000
+:@0.626525:0.675093:0.629873:0.675093:0.629873:0.670929:0.626525:0.670929:0.000000
5),  3:@0.630178:0.675100:0.641123:0.675100:0.641123:0.671150:0.630178:0.671150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.641265:0.675128:0.642690:0.675128:0.642690:0.671185:0.641265:0.671185:0.000000
+:@0.643034:0.675093:0.646382:0.675093:0.646382:0.670929:0.643034:0.670929:0.000000
5, 3( 3:@0.646688:0.675100:0.658795:0.675100:0.658795:0.671150:0.646688:0.671150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.658937:0.675128:0.660362:0.675128:0.660362:0.671185:0.658937:0.671185:0.000000
+:@0.660706:0.675093:0.664054:0.675093:0.664054:0.670929:0.660706:0.670929:0.000000
5)).:@0.664360:0.675100:0.669524:0.675100:0.669524:0.671150:0.664360:0.671150:0.000000:0.000000:0.000000:0.000000
Las ecuaciones paramétricas de la recta   están definidas como::@0.722587:0.512726:0.819390:0.512726:0.819390:0.508940:0.722587:0.508940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.783229:0.512752:0.785279:0.512752:0.785279:0.508974:0.783229:0.508974:0.000000
 :@0.760122:0.529546:0.761009:0.529546:0.761009:0.525761:0.760122:0.525761:0.000000
x:@0.763061:0.517242:0.764777:0.517242:0.764777:0.513188:0.763061:0.513188:0.000000
=2 ,:@0.765618:0.517213:0.773002:0.517213:0.773002:0.513152:0.765618:0.513152:0.000000:0.000000:0.000000:0.000000
t:@0.770639:0.517242:0.771940:0.517242:0.771940:0.513188:0.770639:0.513188:0.000000
y t:@0.763154:0.522580:0.770029:0.522580:0.770029:0.518526:0.763154:0.518526:0.000000:0.000000:0.000000
= ,:@0.765711:0.522552:0.771091:0.522552:0.771091:0.518491:0.765711:0.518491:0.000000:0.000000:0.000000
z:@0.763061:0.527993:0.764587:0.527993:0.764587:0.523939:0.763061:0.523939:0.000000
=3 ,:@0.765344:0.527965:0.772635:0.527965:0.772635:0.523904:0.765344:0.523904:0.000000:0.000000:0.000000:0.000000
t:@0.770272:0.527993:0.771573:0.527993:0.771573:0.523939:0.770272:0.523939:0.000000
t:@0.778753:0.522580:0.780053:0.522580:0.780053:0.518527:0.778753:0.518527:0.000000
.:@0.787531:0.522552:0.788164:0.522552:0.788164:0.518491:0.787531:0.518491:0.000000
Si cambiamos el parámetro t por otro de la forma :@0.722587:0.533527:0.796951:0.533527:0.796951:0.529741:0.722587:0.529741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.797291:0.533591:0.798556:0.533591:0.798556:0.529648:0.797291:0.529648:0.000000
=2:@0.799331:0.533563:0.804164:0.533563:0.804164:0.529614:0.799331:0.529614:0.000000:0.000000
s:@0.804396:0.533591:0.805821:0.533591:0.805821:0.529648:0.804396:0.529648:0.000000
5,:@0.809552:0.533563:0.812048:0.533563:0.812048:0.529614:0.809552:0.529614:0.000000:0.000000
s:@0.816499:0.533591:0.817924:0.533591:0.817924:0.529648:0.816499:0.529648:0.000000
,:@0.825219:0.533563:0.825834:0.533563:0.825834:0.529614:0.825219:0.529614:0.000000
 :@0.826519:0.533527:0.827406:0.533527:0.827406:0.529741:0.826519:0.529741:0.000000
las ecuaciones paramétricas de la recta   se escriben como::@0.722587:0.537508:0.812330:0.537508:0.812330:0.533723:0.722587:0.533723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.782252:0.537534:0.784302:0.537534:0.784302:0.533756:0.782252:0.533756:0.000000
x:@0.758439:0.542340:0.760140:0.542340:0.760140:0.538322:0.758439:0.538322:0.000000
=2(2:@0.760973:0.542312:0.769095:0.542312:0.769095:0.538287:0.760973:0.538287:0.000000:0.000000:0.000000:0.000000
s:@0.769332:0.542340:0.770783:0.542340:0.770783:0.538322:0.769332:0.538322:0.000000
5),:@0.774586:0.542312:0.778410:0.542312:0.778410:0.538287:0.774586:0.538287:0.000000:0.000000:0.000000
y:@0.758528:0.547734:0.760277:0.547734:0.760277:0.543716:0.758528:0.543716:0.000000
=2:@0.761062:0.547706:0.765987:0.547706:0.765987:0.543681:0.761062:0.543681:0.000000:0.000000
s:@0.766224:0.547734:0.767675:0.547734:0.767675:0.543716:0.766224:0.543716:0.000000
5,:@0.771481:0.547705:0.774024:0.547705:0.774024:0.543680:0.771481:0.543680:0.000000:0.000000
z:@0.758439:0.553271:0.759952:0.553271:0.759952:0.549253:0.758439:0.549253:0.000000
=3(2:@0.760702:0.553243:0.768823:0.553243:0.768823:0.549218:0.760702:0.549218:0.000000:0.000000:0.000000:0.000000
s:@0.769060:0.553271:0.770511:0.553271:0.770511:0.549253:0.769060:0.549253:0.000000
5),:@0.774313:0.553244:0.778137:0.553244:0.778137:0.549219:0.774313:0.549219:0.000000:0.000000:0.000000
s:@0.784877:0.547733:0.786329:0.547733:0.786329:0.543715:0.784877:0.543715:0.000000
.:@0.793579:0.547705:0.794206:0.547705:0.794206:0.543680:0.793579:0.543680:0.000000
Desde el punto de vista conjuntista,:@0.722587:0.560615:0.777046:0.560615:0.777046:0.556830:0.722587:0.556830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.726048:0.565094:0.728187:0.565094:0.728187:0.561151:0.726048:0.561151:0.000000
= (2 ,  , 3 )|:@0.728716:0.565066:0.750144:0.565066:0.750144:0.561116:0.728716:0.561116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t t t t:@0.736807:0.565094:0.751792:0.565094:0.751792:0.561151:0.736807:0.561151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.731563:0.565406:0.733715:0.565406:0.733715:0.560450:0.731563:0.560450:0.000000
} {:@0.758976:0.565406:0.766551:0.565406:0.766551:0.560450:0.758976:0.560450:0.000000:0.000000:0.000000
= (2(2:@0.761553:0.565066:0.772729:0.565066:0.772729:0.561116:0.761553:0.561116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.772962:0.565094:0.774386:0.565094:0.774386:0.561151:0.772962:0.561151:0.000000
5), 2:@0.778116:0.565066:0.785226:0.565066:0.785226:0.561116:0.778116:0.561116:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.785458:0.565094:0.786882:0.565094:0.786882:0.561151:0.785458:0.561151:0.000000
5, 3(2:@0.790613:0.565066:0.799603:0.565066:0.799603:0.561116:0.790613:0.561116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.799836:0.565094:0.801260:0.565094:0.801260:0.561151:0.799836:0.561151:0.000000
5))|:@0.804992:0.565066:0.810931:0.565066:0.810931:0.561116:0.804992:0.561116:0.000000:0.000000:0.000000:0.000000
s:@0.811495:0.565094:0.812919:0.565094:0.812919:0.561151:0.811495:0.561151:0.000000
}:@0.819941:0.565406:0.822092:0.565406:0.822092:0.560450:0.819941:0.560450:0.000000
.:@0.822217:0.565066:0.822832:0.565066:0.822832:0.561116:0.822217:0.561116:0.000000
2.:@0.722587:0.571459:0.725214:0.571459:0.725214:0.567624:0.722587:0.567624:0.000000:0.000000
  Sean :@0.725214:0.571409:0.735760:0.571409:0.735760:0.567624:0.725214:0.567624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.736687:0.571383:0.738745:0.571383:0.738745:0.567440:0.736687:0.567440:0.000000
=( 1, 1, 2), =(1, 2, 5).:@0.739354:0.571355:0.777947:0.571355:0.777947:0.567405:0.739354:0.567405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.759607:0.571383:0.761612:0.571383:0.761612:0.567440:0.759607:0.567440:0.000000
 Encuentra la recta   que pasa :@0.778781:0.571409:0.827406:0.571409:0.827406:0.567624:0.778781:0.567624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.809338:0.571436:0.811388:0.571436:0.811388:0.567657:0.809338:0.567657:0.000000
por los puntos   y  . Para determinar este conjunto  , tenemos :@0.727669:0.575822:0.827413:0.575824:0.827413:0.572038:0.727669:0.572036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.751609:0.575797:0.753666:0.575797:0.753666:0.571854:0.751609:0.571854:0.000000
=( 1, 1, 2), =(1, 2, 5).:@0.754276:0.575770:0.792868:0.575770:0.792868:0.571820:0.754276:0.571820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.774528:0.575797:0.776534:0.575797:0.776534:0.571854:0.774528:0.571854:0.000000
u:@0.735490:0.575797:0.737547:0.575797:0.737547:0.571854:0.735490:0.571854:0.000000
=( 1, 1, 2:@0.738157:0.575770:0.755091:0.575770:0.755091:0.571820:0.738157:0.571820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.755078:0.575770:0.756408:0.575770:0.756408:0.571820:0.755078:0.571820:0.000000
,:@0.756335:0.575770:0.756950:0.575770:0.756950:0.571820:0.756335:0.571820:0.000000
a:@0.758409:0.575797:0.760414:0.575797:0.760414:0.571854:0.758409:0.571854:0.000000
=:@0.760985:0.575770:0.763400:0.575770:0.763400:0.571820:0.760985:0.571820:0.000000
(:@0.763920:0.575770:0.765250:0.575770:0.765250:0.571820:0.763920:0.571820:0.000000
1:@0.765177:0.575770:0.767075:0.575770:0.767075:0.571820:0.765177:0.571820:0.000000
,:@0.767057:0.575770:0.767673:0.575770:0.767673:0.571820:0.767057:0.571820:0.000000
 :@0.768077:0.575770:0.769003:0.575770:0.769003:0.571820:0.768077:0.571820:0.000000
2:@0.769132:0.575770:0.771030:0.575770:0.771030:0.571820:0.769132:0.571820:0.000000
,:@0.771012:0.575770:0.771628:0.575770:0.771628:0.571820:0.771012:0.571820:0.000000
 :@0.772032:0.575770:0.772958:0.575770:0.772958:0.571820:0.772032:0.571820:0.000000
5:@0.772996:0.575770:0.774894:0.575770:0.774894:0.571820:0.772996:0.571820:0.000000
):@0.774877:0.575770:0.776207:0.575770:0.776207:0.571820:0.774877:0.571820:0.000000
.:@0.776134:0.575770:0.776749:0.575770:0.776749:0.571820:0.776134:0.571820:0.000000
R:@0.809597:0.575850:0.811647:0.575850:0.811647:0.572071:0.809597:0.572071:0.000000
presente que   :@0.727669:0.580681:0.752715:0.580681:0.752715:0.576895:0.727669:0.576895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.748994:0.580654:0.751051:0.580654:0.751051:0.576711:0.748994:0.576711:0.000000
=( 1, 1, 2), =(1, 2, 5).:@0.751662:0.580627:0.790255:0.580627:0.790255:0.576677:0.751662:0.576677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.771913:0.580654:0.773919:0.580654:0.773919:0.576711:0.771913:0.576711:0.000000
:@0.752760:0.580631:0.756196:0.580631:0.756196:0.577270:0.752760:0.577270:0.000000
 R:@0.756196:0.580707:0.759178:0.580707:0.759178:0.576928:0.756196:0.576928:0.000000:0.000000
, y debemos encontrar un vector director   :@0.759178:0.580681:0.827406:0.580681:0.827406:0.576895:0.759178:0.576895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b a u:@0.823609:0.580675:0.837053:0.580675:0.837053:0.576732:0.823609:0.576732:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.826278:0.580647:0.828692:0.580647:0.828692:0.576697:0.826278:0.576697:0.000000
=(1, 2, 5) ( 1, 1, 2)=(2, 1, 3),:@0.837663:0.580647:0.888323:0.580647:0.888323:0.576697:0.837663:0.576697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.823692:0.587131:0.825831:0.587131:0.825831:0.583188:0.823692:0.583188:0.000000
=:@0.826361:0.587103:0.828775:0.587103:0.828775:0.583153:0.826361:0.583153:0.000000
x:@0.831516:0.587131:0.833186:0.587131:0.833186:0.583188:0.831516:0.583188:0.000000
=( 1, 1, 2):@0.834011:0.587102:0.852260:0.587102:0.852260:0.583152:0.834011:0.583152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.852613:0.587095:0.855961:0.587095:0.855961:0.582930:0.852613:0.582930:0.000000
t:@0.856357:0.587130:0.857622:0.587130:0.857622:0.583186:0.856357:0.583186:0.000000
(2, 1, 3)|:@0.857769:0.587102:0.871437:0.587102:0.871437:0.583152:0.857769:0.583152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.871820:0.587130:0.873085:0.587130:0.873085:0.583186:0.871820:0.583186:0.000000
{:@0.829213:0.588455:0.831364:0.588455:0.831364:0.581083:0.829213:0.581083:0.000000
}:@0.880274:0.588455:0.882426:0.588455:0.882426:0.581083:0.880274:0.581083:0.000000
.:@0.882547:0.587102:0.883163:0.587102:0.883163:0.583152:0.882547:0.583152:0.000000
de la recta  . Entonces, :@0.727668:0.584662:0.763298:0.584662:0.763298:0.580876:0.727668:0.580876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.744326:0.584688:0.746376:0.584688:0.746376:0.580909:0.744326:0.580909:0.000000
b a u:@0.742187:0.589513:0.755631:0.589513:0.755631:0.585570:0.742187:0.585570:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.744854:0.589486:0.747269:0.589486:0.747269:0.585536:0.744854:0.585536:0.000000
=(1, 2, 5) ( 1, 1, 2)=(2, 1, 3),:@0.756241:0.589486:0.806901:0.589486:0.806901:0.585536:0.756241:0.585536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R b a u:@0.742269:0.595970:0.758345:0.593591:0.758345:0.589648:0.742269:0.592027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= =:@0.744938:0.595942:0.749984:0.593563:0.749984:0.589613:0.744938:0.591992:0.000000:0.000000:0.000000
x:@0.750093:0.595970:0.751763:0.595970:0.751763:0.592027:0.750093:0.592027:0.000000
=( 1, 1, 2):@0.752587:0.595941:0.770838:0.595941:0.770838:0.591991:0.752587:0.591991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.771191:0.595934:0.774540:0.595934:0.774540:0.591769:0.771191:0.591769:0.000000
t:@0.774935:0.595968:0.776201:0.595968:0.776201:0.592025:0.774935:0.592025:0.000000
(2, 1, 3)|:@0.776347:0.595941:0.790015:0.595941:0.790015:0.591991:0.776347:0.591991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.790398:0.595968:0.791663:0.595968:0.791663:0.592025:0.790398:0.592025:0.000000
{:@0.747791:0.597293:0.749943:0.597293:0.749943:0.589922:0.747791:0.589922:0.000000
}:@0.798852:0.597293:0.801004:0.597293:0.801004:0.589922:0.798852:0.589922:0.000000
.:@0.801126:0.595941:0.801741:0.595941:0.801741:0.591991:0.801126:0.591991:0.000000
  con lo que   es el conjunto definido como::@0.722587:0.595231:0.793145:0.595231:0.793145:0.591446:0.722587:0.591446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.744759:0.595258:0.746808:0.595258:0.746808:0.591479:0.744759:0.591479:0.000000
=(1, 2, 5) ( 1, 1, 2)=(2, 1, 3),:@0.758956:0.593563:0.809615:0.593563:0.809615:0.589613:0.758956:0.589613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.744985:0.600047:0.747124:0.600047:0.747124:0.596104:0.744985:0.596104:0.000000
=:@0.747653:0.600019:0.750067:0.600019:0.750067:0.596069:0.747653:0.596069:0.000000
x:@0.752809:0.600047:0.754479:0.600047:0.754479:0.596104:0.752809:0.596104:0.000000
=( 1, 1, 2):@0.755303:0.600018:0.773552:0.600018:0.773552:0.596068:0.755303:0.596068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.773905:0.600011:0.777253:0.600011:0.777253:0.595847:0.773905:0.595847:0.000000
t:@0.777649:0.600046:0.778915:0.600046:0.778915:0.596103:0.777649:0.596103:0.000000
(2, 1, 3)|:@0.779061:0.600018:0.792729:0.600018:0.792729:0.596068:0.779061:0.596068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.793112:0.600046:0.794377:0.600046:0.794377:0.596103:0.793112:0.596103:0.000000
{:@0.750505:0.601371:0.752657:0.601371:0.752657:0.594000:0.750505:0.594000:0.000000
}:@0.801566:0.601371:0.803718:0.601371:0.803718:0.594000:0.801566:0.594000:0.000000
.:@0.803839:0.600018:0.804455:0.600018:0.804455:0.596068:0.803839:0.596068:0.000000
 :@0.804831:0.603184:0.805718:0.603184:0.805718:0.599398:0.804831:0.599398:0.000000
  La ecuación vectorial de esta recta está definida como::@0.722585:0.607165:0.810670:0.607165:0.810670:0.603379:0.722585:0.603379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.722585:0.612523:0.723472:0.612523:0.723472:0.608737:0.722585:0.608737:0.000000
x x:@0.728522:0.611807:0.729542:0.610964:0.729542:0.607021:0.728522:0.607864:0.000000:0.000000:0.000000
=( 1, 1, 2):@0.731010:0.611779:0.749261:0.611779:0.749261:0.607829:0.731010:0.607829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ +:@0.749614:0.611772:0.752312:0.610930:0.752312:0.606765:0.749614:0.607607:0.000000:0.000000:0.000000
t t:@0.753358:0.611807:0.753974:0.610964:0.753974:0.607021:0.753358:0.607864:0.000000:0.000000:0.000000
(2, 1, 3),:@0.754770:0.611779:0.767508:0.611779:0.767508:0.607829:0.754770:0.607829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t t:@0.772174:0.611807:0.772789:0.610964:0.772789:0.607021:0.772174:0.607864:0.000000:0.000000:0.000000
. .:@0.780713:0.611779:0.780680:0.610937:0.780680:0.606987:0.780713:0.607829:0.000000:0.000000:0.000000
si  = 2, =( 1, 1, 2) 2(2, 1, 3)=( 5,  1,  4), 4),:@0.728253:0.617961:0.808932:0.617121:0.808932:0.613171:0.728253:0.614011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t t:@0.732259:0.617989:0.732876:0.617146:0.732876:0.613203:0.732259:0.614046:0.000000:0.000000:0.000000
x x:@0.743762:0.617991:0.744782:0.617149:0.744782:0.613206:0.743762:0.614048:0.000000:0.000000:0.000000
si  = =:@0.728253:0.624146:0.736065:0.623304:0.736065:0.619354:0.728253:0.620197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t t:@0.732259:0.624174:0.732876:0.623332:0.732876:0.619389:0.732259:0.620231:0.000000:0.000000:0.000000
s s:@0.740356:0.624175:0.741131:0.623333:0.741131:0.619390:0.740356:0.620232:0.000000:0.000000:0.000000
+ +:@0.742125:0.624140:0.744823:0.623299:0.744823:0.619134:0.742125:0.619975:0.000000:0.000000:0.000000
5, 5,:@0.745779:0.624147:0.747625:0.623306:0.747625:0.619356:0.745779:0.620197:0.000000:0.000000:0.000000:0.000000:0.000000
s s:@0.752550:0.624175:0.753325:0.623333:0.753325:0.619390:0.752550:0.620232:0.000000:0.000000:0.000000
, ,:@0.761268:0.624147:0.761235:0.623306:0.761235:0.619356:0.761268:0.620197:0.000000:0.000000:0.000000
x x:@0.764307:0.624175:0.765328:0.623333:0.765328:0.619390:0.764307:0.620232:0.000000:0.000000:0.000000
=( 1, 1, 2) ( (:@0.766795:0.624147:0.789819:0.623306:0.789819:0.619356:0.766795:0.620197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ +:@0.785393:0.624140:0.788093:0.623299:0.788093:0.619134:0.785393:0.619975:0.000000:0.000000:0.000000
s s:@0.793490:0.624175:0.794264:0.623333:0.794264:0.619390:0.793490:0.620232:0.000000:0.000000:0.000000
+ +:@0.795259:0.624140:0.797957:0.623299:0.797957:0.619134:0.795259:0.619975:0.000000:0.000000:0.000000
5)(2, 1, 3):@0.798912:0.624147:0.814246:0.624147:0.814246:0.620197:0.798912:0.620197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                                      =(9 2 , 6:@0.728425:0.629340:0.783770:0.628498:0.783770:0.624549:0.728425:0.625390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=(9 2 , 6:@0.766511:0.629340:0.784420:0.629340:0.784420:0.625390:0.766511:0.625390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s s:@0.778675:0.629367:0.779449:0.628526:0.779449:0.624583:0.778675:0.625424:0.000000:0.000000:0.000000
s s:@0.788479:0.629367:0.789255:0.628526:0.789255:0.624583:0.788479:0.625424:0.000000:0.000000:0.000000
, 17 3 ). ).:@0.790162:0.629340:0.804460:0.628498:0.804460:0.624549:0.790162:0.625390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s s:@0.801760:0.629367:0.802536:0.628526:0.802536:0.624583:0.801760:0.625424:0.000000:0.000000:0.000000
Algunos elementos de R: :@0.782805:0.612522:0.821251:0.612522:0.821251:0.608736:0.782805:0.608736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.722587:0.630566:0.727020:0.630566:0.727020:0.626781:0.722587:0.626781:0.000000:0.000000:0.000000:0.000000:0.000000
=( 1, 1, 2):@0.730360:0.610937:0.748611:0.610937:0.748611:0.606987:0.730360:0.606987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2, 1, 3),:@0.754120:0.610937:0.766858:0.610937:0.766858:0.606987:0.754120:0.606987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si  = 2, =( 1, 1, 2) 2(2, 1, 3)=( 5,  1, :@0.727604:0.617119:0.801127:0.617121:0.801127:0.613171:0.727604:0.613169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si :@0.727604:0.623304:0.730677:0.623304:0.730677:0.619354:0.727604:0.619354:0.000000:0.000000:0.000000
=( 1, 1, 2):@0.766145:0.623306:0.784392:0.623306:0.784392:0.619356:0.766145:0.619356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5)(2, 1, 3):@0.798262:0.623306:0.813596:0.623306:0.813596:0.619356:0.798262:0.619356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                                     :@0.727775:0.628499:0.760925:0.628499:0.760925:0.624549:0.727775:0.624549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, 17 3:@0.789514:0.628498:0.800970:0.628498:0.800970:0.624549:0.789514:0.624549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la ecuación vectorial :@0.722587:0.635058:0.759421:0.635058:0.759421:0.631272:0.722587:0.631272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.760129:0.635207:0.761799:0.635207:0.761799:0.631264:0.760129:0.631264:0.000000
=( 1, 1, 2):@0.762617:0.635180:0.780868:0.635180:0.780868:0.631230:0.762617:0.631230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.781221:0.635173:0.784569:0.635173:0.784569:0.631008:0.781221:0.631008:0.000000
t:@0.784965:0.635207:0.786230:0.635207:0.786230:0.631264:0.784965:0.631264:0.000000
(2, 1, 3),:@0.786377:0.635180:0.799115:0.635180:0.799115:0.631230:0.786377:0.631230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.803781:0.635207:0.805046:0.635207:0.805046:0.631264:0.803781:0.631264:0.000000
.:@0.812320:0.635180:0.812935:0.635180:0.812935:0.631230:0.812320:0.631230:0.000000
si  = 2, =( 1, 1, 2) 2(2, 1, 3)=( 5,  1,  4),:@0.759860:0.641363:0.841187:0.641364:0.841187:0.637415:0.759860:0.637413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.763866:0.641390:0.765131:0.641390:0.765131:0.637447:0.763866:0.637447:0.000000
x:@0.775369:0.641392:0.777039:0.641392:0.777039:0.637449:0.775369:0.637449:0.000000
si  =:@0.759859:0.647547:0.768320:0.647547:0.768320:0.643597:0.759859:0.643597:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.763866:0.647575:0.765131:0.647575:0.765131:0.643632:0.763866:0.643632:0.000000
s:@0.771963:0.647577:0.773387:0.647577:0.773387:0.643634:0.771963:0.643634:0.000000
+:@0.773732:0.647542:0.777080:0.647542:0.777080:0.643378:0.773732:0.643378:0.000000
5,:@0.777385:0.647549:0.779882:0.647549:0.779882:0.643599:0.777385:0.643599:0.000000:0.000000
s x:@0.784157:0.647577:0.783394:0.645701:0.783394:0.641758:0.784157:0.643634:0.000000:0.000000:0.000000
, , , )=( 1,1,2) 3 ),:@0.792875:0.647549:0.819874:0.644040:0.819874:0.640090:0.792875:0.643599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x z t:@0.795913:0.647577:0.799565:0.644068:0.799565:0.640125:0.795913:0.643634:0.000000:0.000000:0.000000:0.000000:0.000000
=( 1, 1, 2) ( (2,1,3)=( 1 2 ,1:@0.798402:0.647549:0.849420:0.645674:0.849420:0.641725:0.798402:0.643599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.817000:0.647542:0.820348:0.647542:0.820348:0.643378:0.817000:0.643378:0.000000
s:@0.825097:0.647577:0.826521:0.647577:0.826521:0.643634:0.825097:0.643634:0.000000
+:@0.826865:0.647542:0.830213:0.647542:0.830213:0.643378:0.826865:0.643378:0.000000
5)(2, 1, 3):@0.830519:0.647549:0.845852:0.647549:0.845852:0.643599:0.830519:0.643599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                                     :@0.760032:0.652742:0.793182:0.652742:0.793182:0.648792:0.760032:0.648792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=(9 2 , 6:@0.798118:0.652742:0.816027:0.652742:0.816027:0.648792:0.798118:0.648792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.810282:0.652769:0.811706:0.652769:0.811706:0.648826:0.810282:0.648826:0.000000
s:@0.820086:0.652769:0.821510:0.652769:0.821510:0.648826:0.820086:0.648826:0.000000
, 17 3 ).:@0.821769:0.652742:0.836715:0.652742:0.836715:0.648792:0.821769:0.648792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.833367:0.652769:0.834791:0.652769:0.834791:0.648826:0.833367:0.648826:0.000000
, se obtie-:@0.812209:0.635058:0.826520:0.635058:0.826520:0.631272:0.812209:0.631272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nen las ecuaciones paramétricas. Sea :@0.722584:0.639500:0.780500:0.639500:0.780500:0.635714:0.722584:0.635714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.781723:0.639446:0.783393:0.639446:0.783393:0.635503:0.781723:0.635503:0.000000
=( , , ):@0.784211:0.639418:0.798051:0.639418:0.798051:0.635468:0.784211:0.635468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.788648:0.639446:0.796704:0.639446:0.796704:0.635503:0.788648:0.635503:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.801873:0.639446:0.804012:0.639446:0.804012:0.635503:0.801873:0.635503:0.000000
, existe:@0.804179:0.639418:0.815046:0.639418:0.815046:0.635468:0.804179:0.635468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.816483:0.639446:0.817748:0.639446:0.817748:0.635503:0.816483:0.635503:0.000000
,:@0.825207:0.639418:0.825823:0.639418:0.825823:0.635468:0.825207:0.635468:0.000000
=( ( 1 2 ,1:@0.784211:0.645674:0.802544:0.644040:0.802544:0.640090:0.784211:0.641725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.788648:0.645702:0.793696:0.645702:0.793696:0.641759:0.788648:0.641759:0.000000:0.000000:0.000000
+:@0.814802:0.645668:0.818150:0.645668:0.818150:0.641503:0.814802:0.641503:0.000000
t t:@0.818546:0.645702:0.817946:0.644068:0.817946:0.640125:0.818546:0.641759:0.000000:0.000000:0.000000
+:@0.839483:0.645668:0.842831:0.645668:0.842831:0.641503:0.839483:0.641503:0.000000
t:@0.845177:0.645702:0.846442:0.645702:0.846442:0.641759:0.845177:0.641759:0.000000
+:@0.849381:0.645668:0.852729:0.645668:0.852729:0.641503:0.849381:0.641503:0.000000
t:@0.853125:0.645702:0.854391:0.645702:0.854391:0.641759:0.853125:0.641759:0.000000
,2 3 ),:@0.854808:0.645674:0.866750:0.645674:0.866750:0.641725:0.854808:0.641725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.857954:0.645668:0.861302:0.645668:0.861302:0.641503:0.857954:0.641503:0.000000
t:@0.863557:0.645702:0.864822:0.645702:0.864822:0.641759:0.863557:0.641759:0.000000
 :@0.826519:0.639498:0.827406:0.639498:0.827406:0.635713:0.826519:0.635713:0.000000
tal que :@0.722587:0.644027:0.733995:0.644027:0.733995:0.640241:0.722587:0.640241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.734846:0.637811:0.736516:0.637811:0.736516:0.633868:0.734846:0.633868:0.000000
=( , , ):@0.737334:0.637784:0.751174:0.637784:0.751174:0.633834:0.737334:0.633834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.741771:0.637811:0.749827:0.637811:0.749827:0.633868:0.741771:0.633868:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.754996:0.637811:0.757135:0.637811:0.757135:0.633868:0.754996:0.633868:0.000000
, existe:@0.757303:0.637784:0.768169:0.637784:0.768169:0.633834:0.757303:0.633834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.769607:0.637811:0.770872:0.637811:0.770872:0.633868:0.769607:0.633868:0.000000
,:@0.778331:0.637784:0.778946:0.637784:0.778946:0.633834:0.778331:0.633834:0.000000
x:@0.734846:0.644066:0.736516:0.644066:0.736516:0.640123:0.734846:0.640123:0.000000
=( , , )=( 1,1,2):@0.737334:0.644040:0.767573:0.644040:0.767573:0.640090:0.737334:0.640090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.741771:0.644068:0.749827:0.644068:0.749827:0.640125:0.741771:0.640125:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.767925:0.644033:0.771273:0.644033:0.771273:0.639869:0.767925:0.639869:0.000000
t:@0.771670:0.644068:0.772935:0.644068:0.772935:0.640125:0.771670:0.640125:0.000000
(2,1,3)=:@0.773081:0.644040:0.785845:0.644040:0.785845:0.640090:0.773081:0.640090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.792607:0.644033:0.795955:0.644033:0.795955:0.639869:0.792607:0.639869:0.000000
+:@0.802505:0.644033:0.805853:0.644033:0.805853:0.639869:0.802505:0.639869:0.000000
t:@0.806249:0.644068:0.807514:0.644068:0.807514:0.640125:0.806249:0.640125:0.000000
,2:@0.807931:0.644040:0.810668:0.644040:0.810668:0.640090:0.807931:0.640090:0.000000:0.000000
+:@0.811077:0.644033:0.814425:0.644033:0.814425:0.639869:0.811077:0.639869:0.000000
y de la definición de la igualdad de elementos de   resultan las :@0.722587:0.648007:0.820145:0.648007:0.820145:0.644221:0.722587:0.644221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.797434:0.647784:0.800411:0.647784:0.800411:0.644699:0.797434:0.644699:0.000000
3:@0.800410:0.646550:0.801471:0.646550:0.801471:0.644343:0.800410:0.644343:0.000000
ecuaciones paramétricas que representan a la recta   :@0.721959:0.661682:0.796941:0.661682:0.796941:0.657896:0.721959:0.657896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.794004:0.661708:0.796054:0.661708:0.796054:0.657930:0.794004:0.657930:0.000000
x:@0.800308:0.656180:0.801681:0.656180:0.801681:0.652562:0.800308:0.652562:0.000000
= 1 2 ,:@0.802353:0.656154:0.815443:0.656154:0.815443:0.652530:0.802353:0.652530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.808874:0.656148:0.811626:0.656148:0.811626:0.652326:0.808874:0.652326:0.000000
t:@0.813554:0.656180:0.814594:0.656180:0.814594:0.652562:0.813554:0.652562:0.000000
y:@0.800381:0.660770:0.801792:0.660770:0.801792:0.657152:0.800381:0.657152:0.000000
=1:@0.802425:0.660744:0.806253:0.660744:0.806253:0.657120:0.802425:0.657120:0.000000:0.000000
+:@0.806221:0.660738:0.808973:0.660738:0.808973:0.656917:0.806221:0.656917:0.000000
t:@0.809298:0.660770:0.810338:0.660770:0.810338:0.657152:0.809298:0.657152:0.000000
,:@0.810681:0.660744:0.811187:0.660744:0.811187:0.657120:0.810681:0.657120:0.000000
z:@0.800310:0.665757:0.801530:0.665757:0.801530:0.662139:0.800310:0.662139:0.000000
=2 3 ,:@0.802135:0.665732:0.812938:0.665732:0.812938:0.662107:0.802135:0.662107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.806444:0.665725:0.809196:0.665725:0.809196:0.661904:0.806444:0.661904:0.000000
t:@0.811049:0.665757:0.812089:0.665757:0.812089:0.662139:0.811049:0.662139:0.000000
t:@0.820657:0.660771:0.821697:0.660771:0.821697:0.657153:0.820657:0.657153:0.000000
.:@0.827676:0.660746:0.828182:0.660746:0.828182:0.657121:0.827676:0.657121:0.000000
Si cambiamos el parámetro   por otro de la forma :@0.722319:0.672765:0.798220:0.672765:0.798220:0.668980:0.722319:0.668980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.764469:0.672792:0.765682:0.672792:0.765682:0.669013:0.764469:0.669013:0.000000
t:@0.798737:0.672792:0.799949:0.672792:0.799949:0.669013:0.798737:0.669013:0.000000
=5:@0.800688:0.672765:0.805228:0.672765:0.805228:0.668980:0.800688:0.668980:0.000000:0.000000
s:@0.805360:0.672792:0.806725:0.672792:0.806725:0.669013:0.805360:0.669013:0.000000
1,:@0.810202:0.672765:0.812594:0.672765:0.812594:0.668980:0.810202:0.668980:0.000000:0.000000
s:@0.816814:0.672792:0.818179:0.672792:0.818179:0.669013:0.816814:0.669013:0.000000
,:@0.825152:0.672765:0.825742:0.672765:0.825742:0.668980:0.825152:0.668980:0.000000
           :@0.826519:0.672765:0.827406:0.672765:0.827406:0.668980:0.826519:0.668980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las ecuaciones paramétricas de la recta   se escriben como::@0.722319:0.676746:0.812062:0.676746:0.812062:0.672961:0.722319:0.672961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.781984:0.676773:0.784034:0.676773:0.784034:0.672994:0.781984:0.672994:0.000000
x:@0.753988:0.681562:0.755684:0.681562:0.755684:0.677557:0.753988:0.677557:0.000000
= 1 2(5:@0.756514:0.681534:0.773489:0.681534:0.773489:0.677522:0.756514:0.677522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.764572:0.681527:0.767973:0.681527:0.767973:0.677297:0.764572:0.677297:0.000000
s:@0.773633:0.681562:0.775080:0.681562:0.775080:0.677557:0.773633:0.677557:0.000000
1),:@0.778778:0.681534:0.782589:0.681534:0.782589:0.677522:0.778778:0.677522:0.000000:0.000000:0.000000
y:@0.754078:0.686938:0.755822:0.686938:0.755822:0.682933:0.754078:0.682933:0.000000
=5 ,:@0.756604:0.686910:0.763899:0.686910:0.763899:0.682898:0.756604:0.682898:0.000000:0.000000:0.000000:0.000000
s:@0.761565:0.686938:0.763012:0.686938:0.763012:0.682933:0.761565:0.682933:0.000000
z:@0.753986:0.692458:0.755494:0.692458:0.755494:0.688454:0.753986:0.688454:0.000000
=2 3(5:@0.756242:0.692430:0.770482:0.692430:0.770482:0.688418:0.756242:0.688418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.761565:0.692423:0.764966:0.692423:0.764966:0.688193:0.761565:0.688193:0.000000
s:@0.770626:0.692458:0.772073:0.692458:0.772073:0.688454:0.770626:0.688454:0.000000
1),:@0.775773:0.692431:0.779584:0.692431:0.779584:0.688419:0.775773:0.688419:0.000000:0.000000:0.000000
s:@0.789034:0.686937:0.790480:0.686937:0.790480:0.682932:0.789034:0.682932:0.000000
.:@0.797708:0.686909:0.798333:0.686909:0.798333:0.682897:0.797708:0.682897:0.000000
Desde el punto de vista conjuntista,:@0.722319:0.699854:0.776777:0.699854:0.776777:0.696068:0.722319:0.696068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.722947:0.704333:0.725086:0.704333:0.725086:0.700390:0.722947:0.700390:0.000000
= ( 1, 1, 2) (2 ,  , 3 )|:@0.725615:0.704305:0.766455:0.704305:0.766455:0.700355:0.725615:0.700355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.746168:0.704298:0.749516:0.704298:0.749516:0.700133:0.746168:0.700133:0.000000
t t t t:@0.753118:0.704333:0.768103:0.704333:0.768103:0.700390:0.753118:0.700390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.728460:0.704644:0.730612:0.704644:0.730612:0.699688:0.728460:0.699688:0.000000
} {:@0.775283:0.704644:0.782860:0.704644:0.782860:0.699688:0.775283:0.699688:0.000000:0.000000:0.000000
= ( 1 2(5:@0.777862:0.704305:0.797757:0.704305:0.797757:0.700355:0.777862:0.700355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.788978:0.704298:0.792326:0.704298:0.792326:0.700133:0.788978:0.700133:0.000000
s:@0.797899:0.704333:0.799324:0.704333:0.799324:0.700390:0.797899:0.700390:0.000000
1), 5 , 2 3(5:@0.802965:0.704305:0.824969:0.704305:0.824969:0.700355:0.802965:0.700355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.810126:0.704333:0.811551:0.704333:0.811551:0.700390:0.810126:0.700390:0.000000
+:@0.816190:0.704298:0.819538:0.704298:0.819538:0.700133:0.816190:0.700133:0.000000
s:@0.825111:0.704333:0.826535:0.704333:0.826535:0.700390:0.825111:0.700390:0.000000
1))|:@0.830176:0.704305:0.836115:0.704305:0.836115:0.700355:0.830176:0.700355:0.000000:0.000000:0.000000:0.000000
s:@0.836679:0.704333:0.838103:0.704333:0.838103:0.700390:0.836679:0.700390:0.000000
}:@0.845127:0.704644:0.847279:0.704644:0.847279:0.699688:0.845127:0.699688:0.000000
.:@0.847402:0.704305:0.848018:0.704305:0.848018:0.700355:0.847402:0.700355:0.000000
Competencia digital:@0.845707:0.637677:0.876181:0.637677:0.876181:0.634127:0.845707:0.634127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El:@0.845757:0.644245:0.848118:0.644245:0.848118:0.640789:0.845757:0.640789:0.000000:0.000000
 software:@0.848118:0.644269:0.860481:0.644269:0.860481:0.640819:0.848118:0.640819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 libre Geo :@0.860481:0.644245:0.874854:0.644245:0.874854:0.640789:0.860481:0.640789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gebra te permite graficar la :@0.835794:0.647880:0.874665:0.647880:0.874665:0.644424:0.835794:0.644424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación de la recta en  , :@0.835794:0.651515:0.873661:0.651515:0.873661:0.648059:0.835794:0.648059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.868625:0.651312:0.871344:0.651312:0.871344:0.648495:0.868625:0.648495:0.000000
3:@0.871345:0.650185:0.872313:0.650185:0.872313:0.648169:0.871345:0.648169:0.000000
dados un punto y un vector. :@0.835794:0.655150:0.876033:0.655150:0.876033:0.651694:0.835794:0.651694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.835794:0.658830:0.846067:0.658830:0.846067:0.655329:0.835794:0.655329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente enlace y :@0.846067:0.658785:0.875036:0.658785:0.875036:0.655329:0.846067:0.655329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observa:@0.835794:0.662465:0.847110:0.662465:0.847110:0.658964:0.835794:0.658964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cómo se realiza::@0.847110:0.662420:0.869718:0.662420:0.869718:0.658964:0.847110:0.658964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/13m03:@0.835794:0.667766:0.856750:0.667766:0.856750:0.664252:0.835794:0.664252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.845881:0.515159:0.877304:0.515159:0.877304:0.511609:0.845881:0.511609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Física:@0.845932:0.521826:0.875521:0.521826:0.875521:0.518276:0.845932:0.518276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las ecuaciones vectoriales :@0.835968:0.525364:0.872095:0.525364:0.872095:0.521908:0.835968:0.521908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y paramétricas de una recta :@0.835968:0.528999:0.874354:0.528999:0.874354:0.525542:0.835968:0.525542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constituyen las ecuaciones más :@0.835968:0.532634:0.879046:0.532634:0.879046:0.529177:0.835968:0.529177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simples que surgen en aplicacio-:@0.835968:0.536268:0.879668:0.536268:0.879668:0.532812:0.835968:0.532812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes de ingenierías, economía y :@0.835968:0.539903:0.877860:0.539903:0.877860:0.536447:0.835968:0.536447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciencias (como la física, la quí-:@0.835968:0.543538:0.876511:0.543538:0.876511:0.540082:0.835968:0.540082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mica o la biología). En física, por :@0.835968:0.547173:0.880003:0.547173:0.880003:0.543717:0.835968:0.543717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, estas ecuaciones descri-:@0.835968:0.550808:0.880533:0.550808:0.880533:0.547352:0.835968:0.547352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ben el movimiento de cuerpos :@0.835968:0.554443:0.878482:0.554443:0.878482:0.550987:0.835968:0.550987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en trayectorias rectilíneas.:@0.835968:0.558078:0.870739:0.558078:0.870739:0.554622:0.835968:0.554622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.835969:0.607586:0.838426:0.607586:0.838426:0.605285:0.835969:0.605285:0.000000
 :@0.838426:0.607748:0.839043:0.607748:0.839043:0.605115:0.838426:0.605115:0.000000
Render de un edificio en 3D.:@0.839043:0.607748:0.868978:0.607748:0.868978:0.605115:0.839043:0.605115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga escribe:@0.835969:0.613106:0.859018:0.613106:0.859018:0.609604:0.835969:0.609604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.845688:0.613060:0.848836:0.613060:0.848836:0.609604:0.845688:0.609604:0.000000:0.000000:0.000000
 ejemplos de :@0.859018:0.613060:0.877473:0.613060:0.877473:0.609604:0.859018:0.609604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaciones de las ecuaciones :@0.835969:0.616695:0.878519:0.616695:0.878519:0.613239:0.835969:0.613239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vectoriales y paramétricas en :@0.835969:0.620330:0.876823:0.620330:0.876823:0.616874:0.835969:0.616874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otras ciencias.:@0.835969:0.623965:0.855079:0.623965:0.855079:0.620509:0.835969:0.620509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 153747884:@0.885806:0.603088:0.885806:0.587446:0.883351:0.587446:0.883351:0.603088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.528407:0.513442:0.551561:0.513442:0.551561:0.509892:0.528407:0.509892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por dos puntos, cuántas :@0.528457:0.520011:0.563736:0.520011:0.563736:0.516555:0.528457:0.516555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas pueden pasar?:@0.518493:0.523646:0.547534:0.523646:0.547534:0.520190:0.518493:0.520190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.528407:0.536571:0.563482:0.536571:0.563482:0.533021:0.528407:0.533021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué son puntos  :@0.528457:0.543141:0.553867:0.543141:0.553867:0.539684:0.528457:0.539684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colineales:@0.518493:0.546821:0.532565:0.546821:0.532565:0.543319:0.518493:0.543319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
?:@0.532565:0.546776:0.533680:0.546776:0.533680:0.543319:0.532565:0.543319:0.000000
Recuerda la definición:@0.528407:0.559854:0.561792:0.559854:0.561792:0.556304:0.528407:0.556304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación:@0.528457:0.566422:0.545010:0.566422:0.545010:0.562966:0.528457:0.562966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x u tv:@0.519283:0.570966:0.533017:0.570966:0.533017:0.567309:0.519283:0.567309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.521676:0.571108:0.523927:0.571108:0.523927:0.566888:0.521676:0.566888:0.000000
+:@0.526706:0.570934:0.529812:0.570934:0.529812:0.567071:0.526706:0.567071:0.000000
,:@0.533962:0.570941:0.534532:0.570941:0.534532:0.567277:0.533962:0.567277:0.000000
t:@0.539222:0.570966:0.540395:0.570966:0.540395:0.567309:0.539222:0.567309:0.000000
x a tc:@0.521093:0.576033:0.534724:0.576033:0.534724:0.572376:0.521093:0.572376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.523484:0.576175:0.525735:0.576175:0.525735:0.571955:0.523484:0.571955:0.000000
+:@0.528597:0.576001:0.531703:0.576001:0.531703:0.572138:0.528597:0.572138:0.000000
,:@0.534796:0.576175:0.535794:0.576175:0.535794:0.571955:0.534796:0.571955:0.000000
y b td:@0.521180:0.580850:0.535223:0.580850:0.535223:0.577192:0.521180:0.577192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.523571:0.580991:0.525823:0.580991:0.525823:0.576772:0.523571:0.576772:0.000000
+:@0.528685:0.580818:0.531790:0.580818:0.531790:0.576955:0.528685:0.576955:0.000000
.:@0.535383:0.580824:0.535954:0.580824:0.535954:0.577160:0.535383:0.577160:0.000000
 se conoce :@0.546898:0.571026:0.562457:0.571026:0.562457:0.567570:0.546898:0.567570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como ecuación vectorial de la :@0.518494:0.574661:0.560958:0.574661:0.560958:0.571205:0.518494:0.571205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta  . El vector:@0.518494:0.579314:0.541629:0.579314:0.541629:0.575858:0.518494:0.575858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.526315:0.579338:0.528187:0.579338:0.528187:0.575888:0.526315:0.575888:0.000000
   :@0.541629:0.579389:0.546104:0.579389:0.546104:0.575604:0.541629:0.575604:0.000000:0.000000:0.000000
v:@0.543122:0.579526:0.544687:0.579526:0.544687:0.575977:0.543122:0.575977:0.000000
=(2, 1, 3) y =:@0.545360:0.579501:0.567859:0.579501:0.567859:0.575946:0.545360:0.575946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.563285:0.579526:0.565210:0.579526:0.565210:0.575977:0.563285:0.575977:0.000000
x t:@0.570326:0.579526:0.576354:0.579526:0.576354:0.575977:0.570326:0.575977:0.000000:0.000000:0.000000
= (2, 1, 3)|:@0.572574:0.579501:0.588787:0.579501:0.588787:0.575946:0.572574:0.575946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.589132:0.579526:0.590271:0.579526:0.590271:0.575977:0.589132:0.575977:0.000000
{:@0.568257:0.580719:0.570194:0.580719:0.570194:0.574085:0.568257:0.574085:0.000000
}:@0.596740:0.580719:0.598677:0.580719:0.598677:0.574085:0.596740:0.574085:0.000000
.:@0.598788:0.579501:0.599342:0.579501:0.599342:0.575946:0.598788:0.575946:0.000000
se llama :@0.546104:0.579316:0.557999:0.579316:0.557999:0.575859:0.546104:0.575859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector director de la recta :@0.518494:0.582951:0.555284:0.582951:0.555284:0.579494:0.518494:0.579494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R.:@0.555284:0.582975:0.557731:0.582975:0.557731:0.579525:0.555284:0.579525:0.000000:0.000000
Las ecuaciones paramétricas de :@0.518494:0.586585:0.562955:0.586585:0.562955:0.583129:0.518494:0.583129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la recta   para   son::@0.518494:0.590566:0.549148:0.590566:0.549148:0.587110:0.518494:0.587110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.529403:0.590590:0.531274:0.590590:0.531274:0.587140:0.529403:0.587140:0.000000
R:@0.538998:0.590363:0.541717:0.590363:0.541717:0.587546:0.538998:0.587546:0.000000
2:@0.541716:0.589183:0.542777:0.589183:0.542777:0.586976:0.541716:0.586976:0.000000
x u tv:@0.519283:0.589421:0.533017:0.589421:0.533017:0.585764:0.519283:0.585764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.521676:0.589562:0.523927:0.589562:0.523927:0.585343:0.521676:0.585343:0.000000
+:@0.526706:0.589389:0.529812:0.589389:0.529812:0.585526:0.526706:0.585526:0.000000
,:@0.533962:0.589395:0.534532:0.589395:0.534532:0.585732:0.533962:0.585732:0.000000
t:@0.539222:0.589421:0.540395:0.589421:0.540395:0.585764:0.539222:0.585764:0.000000
x a tc:@0.521093:0.594489:0.534725:0.594489:0.534725:0.590832:0.521093:0.590832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.523485:0.594630:0.525736:0.594630:0.525736:0.590411:0.523485:0.590411:0.000000
+:@0.528598:0.594457:0.531703:0.594457:0.531703:0.590594:0.528598:0.590594:0.000000
,:@0.534796:0.594630:0.535794:0.594630:0.535794:0.590411:0.534796:0.590411:0.000000
y b td:@0.521180:0.599306:0.535223:0.599306:0.535223:0.595648:0.521180:0.595648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.523571:0.599447:0.525823:0.599447:0.525823:0.595228:0.523571:0.595228:0.000000
+:@0.528685:0.599274:0.531790:0.599274:0.531790:0.595411:0.528685:0.595411:0.000000
.:@0.535383:0.599280:0.535954:0.599280:0.535954:0.595616:0.535383:0.595616:0.000000
 :@0.546898:0.599302:0.547708:0.599302:0.547708:0.595846:0.546898:0.595846:0.000000
Siendo  :@0.518494:0.606717:0.529644:0.606717:0.529644:0.603261:0.518494:0.603261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u (a,b), v (c,d).:@0.530137:0.606826:0.558737:0.606826:0.558737:0.602876:0.530137:0.602876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.533029:0.606958:0.535392:0.606958:0.535392:0.602447:0.533029:0.602447:0.000000
=:@0.547810:0.606958:0.550173:0.606958:0.550173:0.602447:0.547810:0.602447:0.000000
Glosario:@0.528407:0.623371:0.542849:0.623371:0.542849:0.619314:0.528407:0.619314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colineales::@0.528457:0.629524:0.542853:0.629524:0.542853:0.626022:0.528457:0.626022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 dicho de un :@0.542815:0.629478:0.560810:0.629478:0.560810:0.626022:0.542815:0.626022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto: que se encuentra en la :@0.518493:0.633113:0.559387:0.633113:0.559387:0.629657:0.518493:0.629657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
misma recta que otro.:@0.518493:0.636748:0.548146:0.636748:0.548146:0.633292:0.518493:0.633292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.517117:0.624228:0.519558:0.623882:0.518444:0.618801:0.516003:0.619147:0.000000
c:@0.517841:0.626745:0.520110:0.626423:0.519022:0.621459:0.516753:0.621781:0.000000
b:@0.520062:0.625089:0.522784:0.624703:0.521685:0.619691:0.518963:0.620077:0.000000
Interculturalidad:@0.528407:0.655458:0.554163:0.655458:0.554163:0.651908:0.528407:0.651908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El año chino ordinario :@0.526999:0.661866:0.559238:0.661866:0.559238:0.658410:0.526999:0.658410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consta de 12 meses lunares, :@0.518493:0.665501:0.558563:0.665501:0.558563:0.662045:0.518493:0.662045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su duración oscila entre 353 y :@0.518493:0.669136:0.561402:0.669136:0.561402:0.665680:0.518493:0.665680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
355 días.:@0.518493:0.672771:0.530584:0.672771:0.530584:0.669315:0.518493:0.669315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga responde:@0.518493:0.677778:0.545474:0.677778:0.545474:0.674276:0.518493:0.674276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.528438:0.677733:0.531661:0.677733:0.531661:0.674276:0.528438:0.674276:0.000000:0.000000:0.000000
; ¿cuando :@0.545511:0.677733:0.559659:0.677733:0.559659:0.674276:0.545511:0.674276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se celebra el año chino?, ¿por :@0.518493:0.681368:0.560359:0.681368:0.560359:0.677911:0.518493:0.677911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
qué?:@0.518493:0.685002:0.525000:0.685002:0.525000:0.681546:0.518493:0.681546:0.000000:0.000000:0.000000:0.000000
Evaluación formativa:@0.563741:0.747812:0.648176:0.747812:0.648176:0.733459:0.563741:0.733459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
26:@0.497793:0.935129:0.501253:0.935129:0.501253:0.931748:0.497793:0.931748:0.000000:0.000000
27:@0.896009:0.935025:0.900037:0.935025:0.900037:0.931463:0.896009:0.931463:0.000000:0.000000
I.M.5.2.2.:@0.515033:0.752439:0.524111:0.752439:0.524111:0.750229:0.515033:0.750229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcula:@0.527755:0.763708:0.539946:0.763708:0.539946:0.760077:0.527755:0.760077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los determinantes que se :@0.539946:0.763608:0.579543:0.763608:0.579543:0.760074:0.539946:0.760074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indican.:@0.527755:0.767326:0.539550:0.767326:0.539550:0.763791:0.527755:0.763791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,  ,     :@0.527755:0.816747:0.550499:0.816747:0.550499:0.813212:0.527755:0.813212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B C:@0.535913:0.816772:0.545526:0.816772:0.545526:0.813243:0.535913:0.813243:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.546476:0.816636:0.549612:0.816636:0.549612:0.813770:0.546476:0.813770:0.000000
M:@0.550565:0.816772:0.553835:0.816772:0.553835:0.813243:0.550565:0.813243:0.000000
2×2:@0.553835:0.817448:0.557305:0.817448:0.557305:0.815388:0.553835:0.815388:0.000000:0.000000:0.000000
[ ]. :@0.557305:0.816747:0.564136:0.816747:0.564136:0.813212:0.557305:0.813212:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.558558:0.816514:0.561406:0.816514:0.561406:0.813758:0.558558:0.813758:0.000000
Escribe:@0.564202:0.816846:0.576013:0.816846:0.576013:0.813215:0.564202:0.813215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tres ma-:@0.576013:0.816747:0.589471:0.816747:0.589471:0.813212:0.576013:0.813212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trices cuadradas y :@0.527756:0.820464:0.555681:0.820464:0.555681:0.816930:0.527756:0.816930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verifica:@0.555681:0.820564:0.567736:0.820564:0.567736:0.816933:0.555681:0.816933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que:@0.567736:0.820464:0.574405:0.820464:0.574405:0.816930:0.567736:0.816930:0.000000:0.000000:0.000000:0.000000
det(:@0.527756:0.825709:0.534128:0.825709:0.534128:0.822175:0.527756:0.822175:0.000000:0.000000:0.000000:0.000000
ABC:@0.534128:0.825734:0.540632:0.825734:0.540632:0.822206:0.534128:0.822206:0.000000:0.000000:0.000000
) = det( )det( )det( ) = :@0.540632:0.825709:0.579548:0.825709:0.579548:0.822175:0.540632:0.822175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.552365:0.825734:0.554777:0.825734:0.554777:0.822206:0.552365:0.822206:0.000000
B:@0.562424:0.825734:0.564391:0.825734:0.564391:0.822206:0.562424:0.822206:0.000000
C:@0.572038:0.825734:0.574187:0.825734:0.574187:0.822206:0.572038:0.822206:0.000000
det(:@0.527756:0.829427:0.534128:0.829427:0.534128:0.825892:0.527756:0.825892:0.000000:0.000000:0.000000:0.000000
AB:@0.534128:0.829452:0.538483:0.829452:0.538483:0.825923:0.534128:0.825923:0.000000:0.000000
) det( ).:@0.538483:0.829427:0.551028:0.829427:0.551028:0.825892:0.538483:0.825892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.547016:0.829452:0.549164:0.829452:0.549164:0.825923:0.547016:0.825923:0.000000
1:@0.519843:0.762574:0.522288:0.762574:0.522288:0.758154:0.519843:0.758154:0.000000
2:@0.519843:0.815711:0.522288:0.815711:0.522288:0.811291:0.519843:0.811291:0.000000
Trabajo colaborativo:@0.805515:0.755186:0.847097:0.755186:0.847097:0.750766:0.805515:0.750766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En los siguientes ejercicios, :@0.817258:0.801637:0.859400:0.801637:0.859400:0.798102:0.817258:0.798102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
establezcan:@0.860477:0.801736:0.878974:0.801736:0.878974:0.798105:0.860477:0.798105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.878974:0.801637:0.879861:0.801637:0.879861:0.798102:0.878974:0.798102:0.000000
por qué la igualdad es verdadera luego, :@0.817258:0.805354:0.873452:0.805354:0.873452:0.801819:0.817258:0.801819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cal-:@0.873229:0.805453:0.878974:0.805453:0.878974:0.801823:0.873229:0.801823:0.000000:0.000000:0.000000:0.000000
culen:@0.817258:0.809171:0.825948:0.809171:0.825948:0.805540:0.817258:0.805540:0.000000:0.000000:0.000000:0.000000:0.000000
 los determinantes y :@0.825874:0.809072:0.855874:0.809072:0.855874:0.805537:0.825874:0.805537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprueben:@0.855800:0.809171:0.876239:0.809171:0.876239:0.805540:0.855800:0.805540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.876165:0.809072:0.876755:0.809072:0.876755:0.805537:0.876165:0.805537:0.000000
Prueben:@0.817258:0.873505:0.831108:0.873505:0.831108:0.869874:0.817258:0.869874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que:                                  =  .:@0.831108:0.873406:0.876186:0.873406:0.876186:0.869871:0.831108:0.869871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.871715:0.873431:0.875596:0.873431:0.875596:0.869902:0.871715:0.869902:0.000000:0.000000
7:@0.809348:0.800603:0.811793:0.800603:0.811793:0.796182:0.809348:0.796182:0.000000
8:@0.809348:0.867525:0.811793:0.867525:0.811793:0.863104:0.809348:0.863104:0.000000
Trabajen:@0.805515:0.792752:0.819904:0.792752:0.819904:0.789122:0.805515:0.789122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.819904:0.792700:0.820779:0.792700:0.820779:0.789118:0.819904:0.789118:0.000000
en equipo,:@0.820779:0.792653:0.836768:0.792653:0.836768:0.789118:0.820779:0.789118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.836768:0.792700:0.837642:0.792700:0.837642:0.789118:0.836768:0.789118:0.000000
indaguen resuelvan:@0.837642:0.792752:0.872194:0.792752:0.872194:0.789122:0.837642:0.789122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.853034:0.792653:0.856482:0.792653:0.856482:0.789118:0.853034:0.789118:0.000000:0.000000:0.000000
.:@0.872196:0.792653:0.872786:0.792653:0.872786:0.789118:0.872196:0.789118:0.000000
Completa:@0.733613:0.779919:0.749913:0.779919:0.749913:0.776288:0.733613:0.776288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la solución del sistema de :@0.749913:0.779820:0.796219:0.779820:0.796219:0.776285:0.749913:0.776285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones por el método de Cramer.:@0.733613:0.783538:0.790737:0.783538:0.790737:0.780003:0.733613:0.780003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  – x:@0.736154:0.787280:0.740790:0.787280:0.740790:0.783751:0.736154:0.783751:0.000000:0.000000:0.000000:0.000000:0.000000
       +   2   = 3:@0.740790:0.787255:0.765531:0.787255:0.765531:0.783720:0.740790:0.783720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.756577:0.787280:0.758000:0.787280:0.758000:0.783751:0.756577:0.783751:0.000000
 :@0.736154:0.790973:0.737041:0.790973:0.737041:0.787438:0.736154:0.787438:0.000000
           +3   = 1 :@0.741862:0.790973:0.766418:0.790973:0.766418:0.787438:0.741862:0.787438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.748824:0.790997:0.750469:0.790997:0.750469:0.787469:0.748824:0.787469:0.000000
z:@0.756577:0.790997:0.758000:0.790997:0.758000:0.787469:0.756577:0.787469:0.000000
  3    + 4y:@0.736154:0.794690:0.750469:0.794690:0.750469:0.791156:0.736154:0.791156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.740262:0.794715:0.741862:0.794715:0.741862:0.791186:0.740262:0.791186:0.000000
= 0:@0.760512:0.794690:0.765531:0.794690:0.765531:0.791156:0.760512:0.791156:0.000000:0.000000:0.000000
6:@0.725701:0.778786:0.728146:0.778786:0.728146:0.774366:0.725701:0.774366:0.000000
Halla:@0.527755:0.843522:0.536255:0.843522:0.536255:0.839891:0.527755:0.839891:0.000000:0.000000:0.000000:0.000000:0.000000
 el determinante de la matriz dada.:@0.536255:0.843423:0.588901:0.843423:0.588901:0.839888:0.536255:0.839888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.519843:0.842389:0.522288:0.842389:0.522288:0.837969:0.519843:0.837969:0.000000
a):@0.520858:0.854616:0.523972:0.854616:0.523972:0.851034:0.520858:0.851034:0.000000:0.000000
   =                           5:@0.523972:0.854569:0.553168:0.854969:0.553168:0.851434:0.523972:0.851034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.525939:0.854594:0.528352:0.854594:0.528352:0.851065:0.525939:0.851065:0.000000
a):@0.521031:0.776670:0.524145:0.776670:0.524145:0.773089:0.521031:0.773089:0.000000:0.000000
a) :@0.604803:0.815934:0.608792:0.815934:0.608792:0.812353:0.604803:0.812353:0.000000:0.000000:0.000000
Si toda entrada en una fila (o :@0.609885:0.815888:0.654736:0.815888:0.654736:0.812353:0.609885:0.812353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
columna) es cero, entonces | | = 0. :@0.609885:0.819605:0.664172:0.819605:0.664172:0.816070:0.609885:0.816070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.653304:0.819630:0.655717:0.819630:0.655717:0.816101:0.653304:0.816101:0.000000
c) :@0.604803:0.840204:0.608746:0.840204:0.608746:0.836622:0.604803:0.836622:0.000000:0.000000:0.000000
Si dos filas (o columnas) de una matriz :@0.609885:0.840157:0.669414:0.840157:0.669414:0.836622:0.609885:0.836622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.609885:0.843900:0.612297:0.843900:0.612297:0.840371:0.609885:0.840371:0.000000
 son iguales, entonces | | = 0. :@0.612297:0.843875:0.657965:0.843875:0.657965:0.840340:0.612297:0.840340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.647098:0.843900:0.649510:0.843900:0.649510:0.840371:0.647098:0.840371:0.000000
b) :@0.604803:0.826210:0.609105:0.826210:0.609105:0.822629:0.604803:0.822629:0.000000:0.000000:0.000000
Si una matriz   se forma :@0.609885:0.826164:0.647275:0.826164:0.647275:0.822629:0.609885:0.822629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.630428:0.826188:0.632395:0.826188:0.632395:0.822660:0.630428:0.822660:0.000000
intercambiando dos filas (o columnas) :@0.609885:0.829881:0.669319:0.829881:0.669319:0.826346:0.609885:0.826346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  , entonces | | = –| |. :@0.609885:0.833599:0.649704:0.833599:0.649704:0.830064:0.609885:0.830064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.614595:0.833623:0.617007:0.833623:0.617007:0.830095:0.614595:0.830095:0.000000
B:@0.634296:0.833623:0.636263:0.833623:0.636263:0.830095:0.634296:0.830095:0.000000
A:@0.644743:0.833623:0.647156:0.833623:0.647156:0.830095:0.644743:0.830095:0.000000
b):@0.521031:0.788761:0.524458:0.788761:0.524458:0.785180:0.521031:0.785180:0.000000:0.000000
c):@0.521031:0.800872:0.524100:0.800872:0.524100:0.797290:0.521031:0.797290:0.000000:0.000000
b):@0.520858:0.870688:0.524285:0.870688:0.524285:0.867107:0.520858:0.867107:0.000000:0.000000
   =                            :@0.524285:0.870641:0.556380:0.870641:0.556380:0.867107:0.524285:0.867107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.525939:0.870666:0.528352:0.870666:0.528352:0.867138:0.525939:0.867138:0.000000
3:@0.535083:0.850387:0.536901:0.850387:0.536901:0.846852:0.535083:0.846852:0.000000
1:@0.543216:0.850387:0.545035:0.850387:0.545035:0.846852:0.543216:0.846852:0.000000
–2:@0.550223:0.850387:0.554289:0.850387:0.554289:0.846852:0.550223:0.846852:0.000000:0.000000
4:@0.535083:0.854969:0.536901:0.854969:0.536901:0.851434:0.535083:0.851434:0.000000
2:@0.543216:0.854969:0.545035:0.854969:0.545035:0.851434:0.543216:0.851434:0.000000
–6:@0.533961:0.859551:0.538027:0.859551:0.538027:0.856016:0.533961:0.856016:0.000000:0.000000
3:@0.543216:0.859551:0.545035:0.859551:0.545035:0.856016:0.543216:0.856016:0.000000
–1:@0.550223:0.859551:0.554289:0.859551:0.554289:0.856016:0.550223:0.856016:0.000000:0.000000
–1:@0.533958:0.866459:0.538025:0.866459:0.538025:0.862925:0.533958:0.862925:0.000000:0.000000
0:@0.543213:0.866459:0.545032:0.866459:0.545032:0.862925:0.543213:0.862925:0.000000
2:@0.551346:0.866459:0.553165:0.866459:0.553165:0.862925:0.551346:0.862925:0.000000
0:@0.535080:0.871041:0.536899:0.871041:0.536899:0.867507:0.535080:0.867507:0.000000
1:@0.543213:0.871041:0.545032:0.871041:0.545032:0.867507:0.543213:0.867507:0.000000
3:@0.551346:0.871041:0.553165:0.871041:0.553165:0.867507:0.551346:0.867507:0.000000
3:@0.535080:0.875623:0.536899:0.875623:0.536899:0.872088:0.535080:0.872088:0.000000
4:@0.543213:0.875623:0.545032:0.875623:0.545032:0.872088:0.543213:0.872088:0.000000
0:@0.551346:0.875623:0.553165:0.875623:0.553165:0.872088:0.551346:0.872088:0.000000
2 –5:@0.527906:0.774767:0.537008:0.774767:0.537008:0.771232:0.527906:0.771232:0.000000:0.000000:0.000000:0.000000
–4 0:@0.526784:0.779349:0.535886:0.779349:0.535886:0.775814:0.526784:0.775814:0.000000:0.000000:0.000000:0.000000
2:@0.527910:0.786858:0.529729:0.786858:0.529729:0.783324:0.527910:0.783324:0.000000
8:@0.534067:0.786858:0.535886:0.786858:0.535886:0.783324:0.534067:0.783324:0.000000
–3 5:@0.526784:0.791440:0.535886:0.791440:0.535886:0.787905:0.526784:0.787905:0.000000:0.000000:0.000000:0.000000
–3 –5:@0.526784:0.798968:0.537008:0.798968:0.537008:0.795434:0.526784:0.795434:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.527906:0.803550:0.529725:0.803550:0.529725:0.800015:0.527906:0.800015:0.000000
4:@0.534063:0.803550:0.535882:0.803550:0.535882:0.800015:0.534063:0.800015:0.000000
c):@0.520858:0.887347:0.523927:0.887347:0.523927:0.883766:0.520858:0.883766:0.000000:0.000000
   =                            :@0.523927:0.887300:0.556380:0.887300:0.556380:0.883766:0.523927:0.883766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.525939:0.887325:0.528352:0.887325:0.528352:0.883796:0.525939:0.883796:0.000000
2:@0.535083:0.883118:0.536901:0.883118:0.536901:0.879583:0.535083:0.879583:0.000000
–5:@0.542090:0.883118:0.546156:0.883118:0.546156:0.879583:0.542090:0.879583:0.000000:0.000000
1:@0.551345:0.883118:0.553163:0.883118:0.553163:0.879583:0.551345:0.879583:0.000000
–3:@0.533957:0.887700:0.538023:0.887700:0.538023:0.884165:0.533957:0.884165:0.000000:0.000000
1:@0.543212:0.887700:0.545030:0.887700:0.545030:0.884165:0.543212:0.884165:0.000000
6:@0.551345:0.887700:0.553163:0.887700:0.553163:0.884165:0.551345:0.884165:0.000000
4:@0.535078:0.892282:0.536897:0.892282:0.536897:0.888747:0.535078:0.888747:0.000000
–2:@0.542086:0.892282:0.546152:0.892282:0.546152:0.888747:0.542086:0.888747:0.000000:0.000000
3:@0.551340:0.892282:0.553159:0.892282:0.553159:0.888747:0.551340:0.888747:0.000000
Escribe:@0.611368:0.799597:0.623179:0.799597:0.623179:0.795966:0.611368:0.795966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 verdadero (V) o falso (F) en cada :@0.623179:0.799498:0.673973:0.799498:0.673973:0.795963:0.623179:0.795963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enunciado de las propiedades de los de-:@0.611368:0.803216:0.673074:0.803216:0.673074:0.799681:0.611368:0.799681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terminantes.:@0.611368:0.806933:0.630294:0.806933:0.630294:0.803398:0.611368:0.803398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En los siguientes ejercicios :@0.611368:0.859535:0.651504:0.859535:0.651504:0.856001:0.611368:0.856001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
establece:@0.651484:0.859635:0.666809:0.859635:0.666809:0.856004:0.651484:0.856004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 por :@0.666809:0.859535:0.673977:0.859535:0.673977:0.856001:0.666809:0.856001:0.000000:0.000000:0.000000:0.000000:0.000000
qué la igualdad es verdadera sin calcular :@0.611368:0.863253:0.673965:0.863253:0.673965:0.859718:0.611368:0.859718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los determinantes dados.:@0.611368:0.866971:0.649298:0.866971:0.649298:0.863436:0.611368:0.863436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.603457:0.798463:0.605903:0.798463:0.605903:0.794043:0.603457:0.794043:0.000000
5:@0.603457:0.858502:0.605903:0.858502:0.605903:0.854081:0.603457:0.854081:0.000000
a):@0.605159:0.881145:0.608273:0.881145:0.608273:0.877563:0.605159:0.877563:0.000000:0.000000
  –1:@0.608273:0.881098:0.615920:0.881114:0.615920:0.877579:0.608273:0.877563:0.000000:0.000000:0.000000:0.000000
                            :@0.610241:0.881123:0.635069:0.881123:0.635069:0.877594:0.610241:0.877594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= –                           8:@0.635069:0.881098:0.661951:0.881114:0.661951:0.877579:0.635069:0.877563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.605159:0.919287:0.608228:0.919287:0.608228:0.915706:0.605159:0.915706:0.000000:0.000000
         :@0.608228:0.919241:0.616448:0.919241:0.616448:0.915706:0.608228:0.915706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                              :@0.616448:0.919265:0.643049:0.919265:0.643049:0.915737:0.616448:0.915737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 0:@0.643049:0.919241:0.648068:0.919241:0.648068:0.915706:0.643049:0.915706:0.000000:0.000000:0.000000
3:@0.612975:0.876532:0.614794:0.876532:0.614794:0.872997:0.612975:0.872997:0.000000
2:@0.621108:0.876532:0.622927:0.876532:0.622927:0.872997:0.621108:0.872997:0.000000
1:@0.629241:0.876532:0.631060:0.876532:0.631060:0.872997:0.629241:0.872997:0.000000
2:@0.621108:0.881114:0.622927:0.881114:0.622927:0.877579:0.621108:0.877579:0.000000
4:@0.629241:0.881114:0.631060:0.881114:0.631060:0.877579:0.629241:0.877579:0.000000
0:@0.612975:0.885695:0.614794:0.885695:0.614794:0.882161:0.612975:0.882161:0.000000
7:@0.621108:0.885695:0.622927:0.885695:0.622927:0.882161:0.621108:0.882161:0.000000
8:@0.629241:0.885695:0.631060:0.885695:0.631060:0.882161:0.629241:0.882161:0.000000
3:@0.612975:0.912248:0.614794:0.912248:0.614794:0.908714:0.612975:0.908714:0.000000
4:@0.621108:0.912248:0.622927:0.912248:0.622927:0.908714:0.621108:0.908714:0.000000
0:@0.629241:0.912248:0.631060:0.912248:0.631060:0.908714:0.629241:0.908714:0.000000
6:@0.637374:0.912248:0.639193:0.912248:0.639193:0.908714:0.637374:0.908714:0.000000
8:@0.612975:0.916830:0.614794:0.916830:0.614794:0.913296:0.612975:0.913296:0.000000
9:@0.621108:0.916830:0.622927:0.916830:0.622927:0.913296:0.621108:0.913296:0.000000
0:@0.629241:0.916830:0.631060:0.916830:0.631060:0.913296:0.629241:0.913296:0.000000
4:@0.637374:0.916830:0.639193:0.916830:0.639193:0.913296:0.637374:0.913296:0.000000
2:@0.612975:0.921412:0.614794:0.921412:0.614794:0.917877:0.612975:0.917877:0.000000
3:@0.621108:0.921412:0.622927:0.921412:0.622927:0.917877:0.621108:0.917877:0.000000
0:@0.629241:0.921412:0.631060:0.921412:0.631060:0.917877:0.629241:0.917877:0.000000
3:@0.637374:0.921412:0.639193:0.921412:0.639193:0.917877:0.637374:0.917877:0.000000
1:@0.612975:0.925994:0.614794:0.925994:0.614794:0.922459:0.612975:0.922459:0.000000
2:@0.621108:0.925994:0.622927:0.925994:0.622927:0.922459:0.621108:0.922459:0.000000
0:@0.629241:0.925994:0.631060:0.925994:0.631060:0.922459:0.629241:0.922459:0.000000
6:@0.637374:0.925994:0.639193:0.925994:0.639193:0.922459:0.637374:0.922459:0.000000
3:@0.643866:0.876532:0.645684:0.876532:0.645684:0.872997:0.643866:0.872997:0.000000
2:@0.651999:0.876532:0.653818:0.876532:0.653818:0.872997:0.651999:0.872997:0.000000
1:@0.660132:0.876532:0.661951:0.876532:0.661951:0.872997:0.660132:0.872997:0.000000
0:@0.643866:0.881114:0.645684:0.881114:0.645684:0.877579:0.643866:0.877579:0.000000
7:@0.651999:0.881114:0.653818:0.881114:0.653818:0.877579:0.651999:0.877579:0.000000
–1:@0.642744:0.885695:0.646810:0.885695:0.646810:0.882161:0.642744:0.882161:0.000000:0.000000
2:@0.651999:0.885695:0.653818:0.885695:0.653818:0.882161:0.651999:0.882161:0.000000
4:@0.660132:0.885695:0.661951:0.885695:0.661951:0.882161:0.660132:0.882161:0.000000
b):@0.604761:0.898537:0.608188:0.898537:0.608188:0.894956:0.604761:0.894956:0.000000:0.000000
                   = 2                 :@0.608188:0.898490:0.645010:0.898490:0.645010:0.894956:0.608188:0.894956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.612576:0.896597:0.614395:0.896597:0.614395:0.893063:0.612576:0.893063:0.000000
4:@0.619752:0.896597:0.621571:0.896597:0.621571:0.893063:0.619752:0.893063:0.000000
–1:@0.611454:0.901179:0.615521:0.901179:0.615521:0.897645:0.611454:0.897645:0.000000:0.000000
3:@0.619752:0.901179:0.621571:0.901179:0.621571:0.897645:0.619752:0.897645:0.000000
1:@0.633377:0.896597:0.635196:0.896597:0.635196:0.893062:0.633377:0.893062:0.000000
2:@0.640553:0.896597:0.642372:0.896597:0.642372:0.893062:0.640553:0.893062:0.000000
–1:@0.632255:0.901179:0.636322:0.901179:0.636322:0.897644:0.632255:0.897644:0.000000:0.000000
3:@0.640553:0.901179:0.642372:0.901179:0.642372:0.897644:0.640553:0.897644:0.000000
d):@0.727405:0.759527:0.730874:0.759527:0.730874:0.755946:0.727405:0.755946:0.000000:0.000000
  4:@0.730874:0.759481:0.737039:0.759496:0.737039:0.755961:0.730874:0.755946:0.000000:0.000000:0.000000
                            :@0.732486:0.759505:0.757314:0.759505:0.757314:0.755977:0.732486:0.755977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=                             :@0.757314:0.759481:0.785343:0.759481:0.785343:0.755946:0.757314:0.755946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.727405:0.808708:0.730519:0.808708:0.730519:0.805126:0.727405:0.805126:0.000000:0.000000
c):@0.727405:0.843960:0.730474:0.843960:0.730474:0.840378:0.727405:0.840378:0.000000:0.000000
b):@0.727405:0.826202:0.730832:0.826202:0.730832:0.822621:0.727405:0.822621:0.000000:0.000000
d):@0.727405:0.861454:0.730874:0.861454:0.730874:0.857873:0.727405:0.857873:0.000000:0.000000
e):@0.727405:0.877031:0.730527:0.877031:0.730527:0.873450:0.727405:0.873450:0.000000:0.000000
f):@0.727405:0.888221:0.729995:0.888221:0.729995:0.884639:0.727405:0.884639:0.000000:0.000000
g):@0.727405:0.899606:0.730572:0.899606:0.730572:0.896024:0.727405:0.896024:0.000000:0.000000
–1:@0.734099:0.754914:0.738165:0.754914:0.738165:0.751379:0.734099:0.751379:0.000000:0.000000
3:@0.743354:0.754914:0.745172:0.754914:0.745172:0.751379:0.743354:0.751379:0.000000
2:@0.751487:0.754914:0.753305:0.754914:0.753305:0.751379:0.751487:0.751379:0.000000
1:@0.743354:0.759496:0.745172:0.759496:0.745172:0.755961:0.743354:0.755961:0.000000
5:@0.751487:0.759496:0.753305:0.759496:0.753305:0.755961:0.751487:0.755961:0.000000
2:@0.735220:0.764078:0.737039:0.764078:0.737039:0.760543:0.735220:0.760543:0.000000
–4 –3:@0.742228:0.764078:0.754427:0.764078:0.754427:0.760543:0.742228:0.760543:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.762474:0.754914:0.766540:0.754914:0.766540:0.751379:0.762474:0.751379:0.000000:0.000000
3:@0.771728:0.754914:0.773547:0.754914:0.773547:0.751379:0.771728:0.751379:0.000000
2:@0.779862:0.754914:0.781680:0.754914:0.781680:0.751379:0.779862:0.751379:0.000000
4:@0.763596:0.759496:0.765414:0.759496:0.765414:0.755961:0.763596:0.755961:0.000000
1:@0.771728:0.759496:0.773547:0.759496:0.773547:0.755961:0.771728:0.755961:0.000000
5:@0.779862:0.759496:0.781680:0.759496:0.781680:0.755961:0.779862:0.755961:0.000000
0:@0.763596:0.764078:0.765414:0.764078:0.765414:0.760543:0.763596:0.760543:0.000000
2:@0.771728:0.764078:0.773547:0.764078:0.773547:0.760543:0.771728:0.760543:0.000000
1:@0.779862:0.764078:0.781680:0.764078:0.781680:0.760543:0.779862:0.760543:0.000000
| | =                             = :@0.734520:0.808452:0.771271:0.808452:0.771271:0.804918:0.734520:0.804918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.735592:0.808477:0.738083:0.808477:0.738083:0.804949:0.735592:0.804949:0.000000
| | =                             = :@0.734520:0.826182:0.772204:0.826183:0.772204:0.822648:0.734520:0.822648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.735592:0.826207:0.738083:0.826207:0.738083:0.822678:0.735592:0.822678:0.000000
x:@0.738083:0.826900:0.739016:0.826900:0.739016:0.824843:0.738083:0.824843:0.000000
| | =                             = :@0.734521:0.843913:0.772231:0.843913:0.772231:0.840379:0.734521:0.840378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.735593:0.843938:0.738084:0.843938:0.738084:0.840409:0.735593:0.840409:0.000000
y:@0.738083:0.844629:0.739042:0.844629:0.739042:0.842572:0.738083:0.842572:0.000000
x:@0.734519:0.877034:0.736119:0.877034:0.736119:0.873505:0.734519:0.873505:0.000000
 =          =         =  :@0.736119:0.877009:0.762815:0.877009:0.762815:0.873474:0.736119:0.873474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La solución es   =           :@0.727404:0.913296:0.764349:0.913296:0.764349:0.909761:0.727404:0.909761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.749762:0.913321:0.751362:0.913321:0.751362:0.909792:0.749762:0.909792:0.000000
:@0.750022:0.913401:0.751395:0.913401:0.751395:0.910012:0.750022:0.910012:0.000000
y:@0.734523:0.888032:0.736168:0.888032:0.736168:0.884503:0.734523:0.884503:0.000000
 =          =         = :@0.736168:0.888007:0.761978:0.888007:0.761978:0.884472:0.736168:0.884472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.734523:0.899677:0.735946:0.899677:0.735946:0.896149:0.734523:0.896149:0.000000
 =          =         =   :@0.735946:0.899652:0.763528:0.899652:0.763528:0.896118:0.735946:0.896118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| | =                             = :@0.734523:0.861426:0.772100:0.861423:0.772100:0.857888:0.734523:0.857892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.735595:0.861451:0.738086:0.861451:0.738086:0.857922:0.735595:0.857922:0.000000
z:@0.738083:0.862140:0.738913:0.862140:0.738913:0.860083:0.738083:0.860083:0.000000
–1:@0.745156:0.804271:0.749223:0.804271:0.749223:0.800736:0.745156:0.800736:0.000000:0.000000
0:@0.754411:0.804271:0.756230:0.804271:0.756230:0.800736:0.754411:0.800736:0.000000
2:@0.762544:0.804271:0.764363:0.804271:0.764363:0.800736:0.762544:0.800736:0.000000
0:@0.746278:0.808853:0.748097:0.808853:0.748097:0.805318:0.746278:0.805318:0.000000
1:@0.754411:0.808853:0.756230:0.808853:0.756230:0.805318:0.754411:0.805318:0.000000
3:@0.762544:0.808853:0.764363:0.808853:0.764363:0.805318:0.762544:0.805318:0.000000
3:@0.746278:0.813435:0.748097:0.813435:0.748097:0.809900:0.746278:0.809900:0.000000
4:@0.754411:0.813435:0.756230:0.813435:0.756230:0.809900:0.754411:0.809900:0.000000
0:@0.762544:0.813435:0.764363:0.813435:0.764363:0.809900:0.762544:0.809900:0.000000
3:@0.746996:0.822001:0.748815:0.822001:0.748815:0.818466:0.746996:0.818466:0.000000
0:@0.755129:0.822001:0.756948:0.822001:0.756948:0.818466:0.755129:0.818466:0.000000
 2:@0.762817:0.822001:0.765522:0.822001:0.765522:0.818466:0.762817:0.818466:0.000000:0.000000
1:@0.746996:0.826583:0.748815:0.826583:0.748815:0.823048:0.746996:0.823048:0.000000
1:@0.755129:0.826583:0.756948:0.826583:0.756948:0.823048:0.755129:0.823048:0.000000
3:@0.763262:0.826583:0.765081:0.826583:0.765081:0.823048:0.763262:0.823048:0.000000
0:@0.746996:0.831164:0.748815:0.831164:0.748815:0.827630:0.746996:0.827630:0.000000
4:@0.755129:0.831164:0.756948:0.831164:0.756948:0.827630:0.755129:0.827630:0.000000
0:@0.763262:0.831164:0.765081:0.831164:0.765081:0.827630:0.763262:0.827630:0.000000
–1:@0.745874:0.839730:0.749940:0.839730:0.749940:0.836196:0.745874:0.836196:0.000000:0.000000
3:@0.755129:0.839730:0.756948:0.839730:0.756948:0.836196:0.755129:0.836196:0.000000
2:@0.763262:0.839730:0.765081:0.839730:0.765081:0.836196:0.763262:0.836196:0.000000
0:@0.746996:0.844312:0.748815:0.844312:0.748815:0.840778:0.746996:0.840778:0.000000
1:@0.755129:0.844312:0.756948:0.844312:0.756948:0.840778:0.755129:0.840778:0.000000
3:@0.763262:0.844312:0.765081:0.844312:0.765081:0.840778:0.763262:0.840778:0.000000
3:@0.746996:0.848894:0.748815:0.848894:0.748815:0.845360:0.746996:0.845360:0.000000
0:@0.755129:0.848894:0.756948:0.848894:0.756948:0.845360:0.755129:0.845360:0.000000
0:@0.763262:0.848894:0.765081:0.848894:0.765081:0.845360:0.763262:0.845360:0.000000
–1:@0.745874:0.857321:0.749940:0.857321:0.749940:0.853786:0.745874:0.853786:0.000000:0.000000
0:@0.755129:0.857321:0.756948:0.857321:0.756948:0.853786:0.755129:0.853786:0.000000
3:@0.763262:0.857321:0.765081:0.857321:0.765081:0.853786:0.763262:0.853786:0.000000
0:@0.746996:0.861903:0.748815:0.861903:0.748815:0.858368:0.746996:0.858368:0.000000
1:@0.755129:0.861903:0.756948:0.861903:0.756948:0.858368:0.755129:0.858368:0.000000
1:@0.763262:0.861903:0.765081:0.861903:0.765081:0.858368:0.763262:0.858368:0.000000
3:@0.746996:0.866485:0.748815:0.866485:0.748815:0.862950:0.746996:0.862950:0.000000
4:@0.755129:0.866485:0.756948:0.866485:0.756948:0.862950:0.755129:0.862950:0.000000
0:@0.763262:0.866485:0.765081:0.866485:0.765081:0.862950:0.763262:0.862950:0.000000
| |:@0.740765:0.875192:0.746416:0.875192:0.746416:0.872010:0.740765:0.872010:0.000000:0.000000:0.000000
D:@0.741879:0.875430:0.744370:0.875430:0.744370:0.871901:0.741879:0.871901:0.000000
x:@0.744390:0.875745:0.745323:0.875745:0.745323:0.873688:0.744390:0.873688:0.000000
| |:@0.741232:0.878693:0.745950:0.878694:0.745950:0.875513:0.741232:0.875512:0.000000:0.000000:0.000000
D:@0.742345:0.878933:0.744836:0.878933:0.744836:0.875404:0.742345:0.875404:0.000000
| |:@0.740752:0.886188:0.746429:0.886188:0.746429:0.883007:0.740752:0.883007:0.000000:0.000000:0.000000
D:@0.741866:0.886426:0.744357:0.886426:0.744357:0.882898:0.741866:0.882898:0.000000
y:@0.744377:0.886741:0.745336:0.886741:0.745336:0.884684:0.744377:0.884684:0.000000
| |:@0.741233:0.889690:0.745950:0.889691:0.745950:0.886509:0.741233:0.886508:0.000000:0.000000:0.000000
D:@0.742345:0.889929:0.744836:0.889929:0.744836:0.886400:0.742345:0.886400:0.000000
| |:@0.740817:0.897833:0.746364:0.897833:0.746364:0.894652:0.740817:0.894652:0.000000:0.000000:0.000000
D:@0.741931:0.898071:0.744422:0.898071:0.744422:0.894543:0.741931:0.894543:0.000000
z:@0.744442:0.898387:0.745272:0.898387:0.745272:0.896329:0.744442:0.896329:0.000000
| |:@0.741229:0.901335:0.745950:0.901335:0.745950:0.898153:0.741229:0.898154:0.000000:0.000000:0.000000
D:@0.742345:0.901574:0.744836:0.901574:0.744836:0.898045:0.742345:0.898045:0.000000
a):@0.811050:0.821385:0.814163:0.821385:0.814163:0.817804:0.811050:0.817804:0.000000:0.000000
  2:@0.814163:0.821339:0.820680:0.821351:0.820680:0.817816:0.814163:0.817804:0.000000:0.000000:0.000000
                            :@0.816131:0.821363:0.840959:0.821363:0.840959:0.817835:0.816131:0.817835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=                             :@0.840959:0.821339:0.868988:0.821339:0.868988:0.817804:0.840959:0.817804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.811050:0.837566:0.814477:0.837566:0.814477:0.833985:0.811050:0.833985:0.000000:0.000000
  –2:@0.814477:0.837519:0.821798:0.837535:0.821798:0.834000:0.814477:0.833985:0.000000:0.000000:0.000000:0.000000
                            :@0.816131:0.837544:0.840959:0.837544:0.840959:0.834016:0.816131:0.834016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 0:@0.840959:0.837519:0.845978:0.837519:0.845978:0.833985:0.840959:0.833985:0.000000:0.000000:0.000000
c):@0.811050:0.854035:0.814118:0.854035:0.814118:0.850453:0.811050:0.850453:0.000000:0.000000
  6:@0.814118:0.853988:0.820672:0.854004:0.820672:0.850469:0.814118:0.850453:0.000000:0.000000:0.000000
                            :@0.816131:0.854013:0.840959:0.854013:0.840959:0.850484:0.816131:0.850484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 0:@0.840959:0.853988:0.845978:0.853988:0.845978:0.850453:0.840959:0.850453:0.000000:0.000000:0.000000
–1:@0.817739:0.816769:0.821806:0.816769:0.821806:0.813234:0.817739:0.813234:0.000000:0.000000
1:@0.826994:0.816769:0.828813:0.816769:0.828813:0.813234:0.826994:0.813234:0.000000
2:@0.835127:0.816769:0.836946:0.816769:0.836946:0.813234:0.835127:0.813234:0.000000
–1:@0.825868:0.821351:0.829935:0.821351:0.829935:0.817816:0.825868:0.817816:0.000000:0.000000
3:@0.835123:0.821351:0.836942:0.821351:0.836942:0.817816:0.835123:0.817816:0.000000
3:@0.818857:0.825933:0.820676:0.825933:0.820676:0.822398:0.818857:0.822398:0.000000
–1:@0.825864:0.825933:0.829931:0.825933:0.829931:0.822398:0.825864:0.822398:0.000000:0.000000
4:@0.835119:0.825933:0.836938:0.825933:0.836938:0.822398:0.835119:0.822398:0.000000
3:@0.818853:0.832953:0.820672:0.832953:0.820672:0.829418:0.818853:0.829418:0.000000
1:@0.826986:0.832953:0.828805:0.832953:0.828805:0.829418:0.826986:0.829418:0.000000
3:@0.835119:0.832953:0.836938:0.832953:0.836938:0.829418:0.835119:0.829418:0.000000
0:@0.826986:0.837535:0.828805:0.837535:0.828805:0.834000:0.826986:0.834000:0.000000
–2:@0.833993:0.837535:0.838060:0.837535:0.838060:0.834000:0.833993:0.834000:0.000000:0.000000
6:@0.818853:0.842117:0.820672:0.842117:0.820672:0.838582:0.818853:0.838582:0.000000
4:@0.826986:0.842117:0.828805:0.842117:0.828805:0.838582:0.826986:0.838582:0.000000
6:@0.835119:0.842117:0.836938:0.842117:0.836938:0.838582:0.835119:0.838582:0.000000
3:@0.818853:0.849422:0.820672:0.849422:0.820672:0.845887:0.818853:0.845887:0.000000
2:@0.826986:0.849422:0.828805:0.849422:0.828805:0.845887:0.826986:0.845887:0.000000
1:@0.835119:0.849422:0.836938:0.849422:0.836938:0.845887:0.835119:0.845887:0.000000
8:@0.826986:0.854004:0.828805:0.854004:0.828805:0.850469:0.826986:0.850469:0.000000
2:@0.835119:0.854004:0.836938:0.854004:0.836938:0.850469:0.835119:0.850469:0.000000
3:@0.818853:0.858586:0.820672:0.858586:0.820672:0.855051:0.818853:0.855051:0.000000
4:@0.826986:0.858586:0.828805:0.858586:0.828805:0.855051:0.826986:0.855051:0.000000
1:@0.835119:0.858586:0.836938:0.858586:0.836938:0.855051:0.835119:0.855051:0.000000
0:@0.847232:0.816769:0.849051:0.816769:0.849051:0.813234:0.847232:0.813234:0.000000
1:@0.855365:0.816769:0.857184:0.816769:0.857184:0.813234:0.855365:0.813234:0.000000
2:@0.863498:0.816769:0.865317:0.816769:0.865317:0.813234:0.863498:0.813234:0.000000
1:@0.847232:0.821351:0.849051:0.821351:0.849051:0.817816:0.847232:0.817816:0.000000
–1:@0.854239:0.821351:0.858306:0.821351:0.858306:0.817816:0.854239:0.817816:0.000000:0.000000
3:@0.863494:0.821351:0.865313:0.821351:0.865313:0.817816:0.863494:0.817816:0.000000
2:@0.847228:0.825933:0.849047:0.825933:0.849047:0.822398:0.847228:0.822398:0.000000
–1:@0.854235:0.825933:0.858302:0.825933:0.858302:0.822398:0.854235:0.822398:0.000000:0.000000
4:@0.863490:0.825933:0.865309:0.825933:0.865309:0.822398:0.863490:0.822398:0.000000
1:@0.843605:0.869313:0.845423:0.869313:0.845423:0.865779:0.843605:0.865779:0.000000
1:@0.852307:0.869313:0.854126:0.869313:0.854126:0.865779:0.852307:0.865779:0.000000
1:@0.861516:0.869313:0.863335:0.869313:0.863335:0.865779:0.861516:0.865779:0.000000
1:@0.843609:0.873895:0.845428:0.873895:0.845428:0.870361:0.843609:0.870361:0.000000
1+:@0.849985:0.873895:0.854324:0.873895:0.854324:0.870361:0.849985:0.870361:0.000000:0.000000
a:@0.854530:0.873920:0.856452:0.873920:0.856452:0.870392:0.854530:0.870392:0.000000
1:@0.861516:0.873895:0.863335:0.873895:0.863335:0.870361:0.861516:0.870361:0.000000
1:@0.843609:0.878477:0.845428:0.878477:0.845428:0.874942:0.843609:0.874942:0.000000
1:@0.852311:0.878477:0.854130:0.878477:0.854130:0.874942:0.852311:0.874942:0.000000
1+:@0.859165:0.878477:0.863504:0.878477:0.863504:0.874942:0.859165:0.874942:0.000000:0.000000
b:@0.863711:0.878502:0.865694:0.878502:0.865694:0.874973:0.863711:0.874973:0.000000
a):@0.810897:0.912670:0.814011:0.912670:0.814011:0.909088:0.810897:0.909088:0.000000:0.000000
 :@0.814011:0.912623:0.814898:0.912623:0.814898:0.909088:0.814011:0.909088:0.000000
      –        = 1:@0.818754:0.910163:0.840409:0.908561:0.840409:0.905027:0.818754:0.906628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.822466:0.910188:0.824066:0.910188:0.824066:0.906659:0.822466:0.906659:0.000000
y:@0.832521:0.910188:0.834166:0.910188:0.834166:0.906659:0.832521:0.906659:0.000000
–3  + 2  = –1:@0.818754:0.916170:0.840126:0.916170:0.840126:0.912635:0.818754:0.912635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.822821:0.916195:0.824421:0.916195:0.824421:0.912666:0.822821:0.912666:0.000000
y:@0.830327:0.916195:0.831972:0.916195:0.831972:0.912666:0.830327:0.912666:0.000000
1:@0.819466:0.908561:0.821285:0.908561:0.821285:0.905027:0.819466:0.905027:0.000000
2:@0.819466:0.912062:0.821285:0.912062:0.821285:0.908527:0.819466:0.908527:0.000000
1:@0.829231:0.908561:0.831050:0.908561:0.831050:0.905027:0.829231:0.905027:0.000000
3:@0.829231:0.912062:0.831050:0.912062:0.831050:0.908527:0.829231:0.908527:0.000000
6:@0.838591:0.912062:0.840409:0.912062:0.840409:0.908527:0.838591:0.908527:0.000000
b):@0.810896:0.925545:0.814323:0.925545:0.814323:0.921963:0.810896:0.921963:0.000000:0.000000
 :@0.814323:0.925498:0.815210:0.925498:0.815210:0.921963:0.814323:0.921963:0.000000
c):@0.848844:0.913016:0.851912:0.913016:0.851912:0.909435:0.848844:0.909435:0.000000:0.000000
 :@0.851912:0.912970:0.852799:0.912970:0.852799:0.909435:0.851912:0.909435:0.000000
d):@0.848844:0.925222:0.852312:0.925222:0.852312:0.921641:0.848844:0.921641:0.000000:0.000000
 :@0.852312:0.925176:0.853199:0.925176:0.853199:0.921641:0.852312:0.921641:0.000000
–x:@0.818753:0.923481:0.822502:0.923481:0.822502:0.919953:0.818753:0.919953:0.000000:0.000000
 + 5  = –58:@0.822502:0.923456:0.840026:0.923456:0.840026:0.919922:0.822502:0.919922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.828408:0.923481:0.830053:0.923481:0.830053:0.919953:0.828408:0.919953:0.000000
4  = –32:@0.818753:0.927174:0.832144:0.927174:0.832144:0.923639:0.818753:0.923639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.820572:0.927199:0.822172:0.927199:0.822172:0.923670:0.820572:0.923670:0.000000
3  + 4  = –5:@0.856700:0.911309:0.875825:0.911309:0.875825:0.907774:0.856700:0.907774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.858519:0.911334:0.860119:0.911334:0.860119:0.907805:0.858519:0.907805:0.000000
y:@0.866025:0.911334:0.867671:0.911334:0.867671:0.907805:0.866025:0.907805:0.000000
2  –   = 4:@0.856700:0.915027:0.871692:0.915027:0.871692:0.911492:0.856700:0.911492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.858519:0.915052:0.865786:0.915052:0.865786:0.911523:0.858519:0.911523:0.000000:0.000000:0.000000
2  + 3  = 2:@0.856828:0.923515:0.873705:0.923515:0.873705:0.919980:0.856828:0.919980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.858647:0.923540:0.860247:0.923540:0.860247:0.920012:0.858647:0.920012:0.000000
y:@0.866153:0.923540:0.867799:0.923540:0.867799:0.920012:0.866153:0.920012:0.000000
x:@0.856828:0.927258:0.858428:0.927258:0.858428:0.923729:0.856828:0.923729:0.000000
 – 2  = 8:@0.858428:0.927233:0.871820:0.927233:0.871820:0.923698:0.858428:0.923698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.864268:0.927258:0.865914:0.927258:0.865914:0.923729:0.864268:0.923729:0.000000
•:@0.727045:0.923605:0.728707:0.923605:0.728707:0.919922:0.727045:0.919922:0.000000
 :@0.728707:0.923500:0.729581:0.923500:0.729581:0.919918:0.728707:0.919918:0.000000
¿Cómo verificas que las soluciones encon-:@0.732126:0.923453:0.798395:0.923453:0.798395:0.919918:0.732126:0.919918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tradas son correctas? :@0.732126:0.927171:0.764835:0.927171:0.764835:0.923636:0.732126:0.923636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Explica:@0.764835:0.927270:0.776543:0.927270:0.776543:0.923639:0.764835:0.923639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.776543:0.927171:0.777133:0.927171:0.777133:0.923636:0.776543:0.923636:0.000000
28:@0.753797:0.875405:0.757476:0.875405:0.757476:0.871870:0.753797:0.871870:0.000000:0.000000
6:@0.754725:0.878906:0.756543:0.878906:0.756543:0.875371:0.754725:0.875371:0.000000
5:@0.754726:0.898046:0.756545:0.898046:0.756545:0.894512:0.754726:0.894512:0.000000
6:@0.754726:0.901547:0.756545:0.901547:0.756545:0.898012:0.754726:0.898012:0.000000
21:@0.752721:0.886345:0.756400:0.886345:0.756400:0.882810:0.752721:0.882810:0.000000:0.000000
6:@0.753649:0.889845:0.755468:0.889845:0.755468:0.886311:0.753649:0.886311:0.000000
d):@0.556088:0.776614:0.559557:0.776614:0.559557:0.773033:0.556088:0.773033:0.000000:0.000000
   = :@0.559557:0.776568:0.567669:0.776568:0.567669:0.773033:0.559557:0.773033:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.561169:0.776592:0.563582:0.776592:0.563582:0.773064:0.561169:0.773064:0.000000
–1   5:@0.568961:0.774633:0.579541:0.774633:0.579541:0.771276:0.568961:0.771276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  2   0 :@0.568961:0.778607:0.580405:0.778607:0.580405:0.775250:0.568961:0.775250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.581750:0.776567:0.582636:0.776567:0.582636:0.773033:0.581750:0.773033:0.000000
 :@0.563210:0.782465:0.564026:0.782465:0.564026:0.778844:0.563210:0.778844:0.000000
e):@0.556093:0.788820:0.559215:0.788820:0.559215:0.785238:0.556093:0.785238:0.000000:0.000000
   = :@0.559215:0.788773:0.567674:0.788773:0.567674:0.785238:0.559215:0.785238:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.561174:0.788798:0.563587:0.788798:0.563587:0.785269:0.561174:0.785269:0.000000
 2:@0.568961:0.786839:0.571750:0.786839:0.571750:0.783482:0.568961:0.783482:0.000000:0.000000
  0:@0.575888:0.786839:0.579541:0.786839:0.579541:0.783482:0.575888:0.783482:0.000000:0.000000:0.000000
 2:@0.568961:0.790813:0.571750:0.790813:0.571750:0.787456:0.568961:0.787456:0.000000:0.000000
  0 :@0.575888:0.790813:0.580405:0.790813:0.580405:0.787456:0.575888:0.787456:0.000000:0.000000:0.000000:0.000000
 :@0.581750:0.788773:0.582636:0.788773:0.582636:0.785238:0.581750:0.785238:0.000000
 :@0.563210:0.794350:0.564026:0.794350:0.564026:0.790729:0.563210:0.790729:0.000000
f):@0.556093:0.800812:0.558683:0.800812:0.558683:0.797231:0.556093:0.797231:0.000000:0.000000
   = :@0.558683:0.800765:0.567674:0.800765:0.567674:0.797231:0.558683:0.797231:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.561174:0.800790:0.563587:0.800790:0.563587:0.797261:0.561174:0.797261:0.000000
–1   2:@0.568961:0.798831:0.579541:0.798831:0.579541:0.795474:0.568961:0.795474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  2  –1 :@0.568961:0.802805:0.580957:0.802805:0.580957:0.799448:0.568961:0.799448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.581750:0.800765:0.582636:0.800765:0.582636:0.797231:0.581750:0.797231:0.000000
d):@0.520859:0.905766:0.524327:0.905766:0.524327:0.902184:0.520859:0.902184:0.000000:0.000000
   =  :@0.524327:0.905719:0.533326:0.905719:0.533326:0.902184:0.524327:0.902184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.525940:0.905744:0.528353:0.905744:0.528353:0.902215:0.525940:0.902215:0.000000
–1:@0.534228:0.900308:0.538126:0.900308:0.538126:0.896951:0.534228:0.896951:0.000000:0.000000
 2   0  :@0.542930:0.900308:0.553550:0.900308:0.553550:0.896951:0.542930:0.896951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  0:@0.534228:0.904818:0.537881:0.904818:0.537881:0.901461:0.534228:0.901461:0.000000:0.000000:0.000000
 3   1:@0.542930:0.904818:0.552011:0.904818:0.552011:0.901461:0.542930:0.901461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  3:@0.534228:0.909020:0.537881:0.909020:0.537881:0.905663:0.534228:0.905663:0.000000:0.000000:0.000000
 0   4:@0.542930:0.909020:0.552011:0.909020:0.552011:0.905663:0.542930:0.905663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.527972:0.912683:0.528788:0.912683:0.528788:0.909062:0.527972:0.909062:0.000000
e):@0.520858:0.922934:0.523980:0.922934:0.523980:0.919353:0.520858:0.919353:0.000000:0.000000
   =  :@0.523980:0.922888:0.533326:0.922888:0.533326:0.919353:0.523980:0.919353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.525939:0.922912:0.528352:0.922912:0.528352:0.919384:0.525939:0.919384:0.000000
 3:@0.534228:0.917476:0.537017:0.917476:0.537017:0.914118:0.534228:0.914118:0.000000:0.000000
 0  –2  :@0.542930:0.917476:0.554288:0.917476:0.554288:0.914118:0.542930:0.914118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 1:@0.534228:0.921986:0.537017:0.921986:0.537017:0.918629:0.534228:0.918629:0.000000:0.000000
–1    3:@0.542378:0.921986:0.552879:0.921986:0.552879:0.918629:0.542378:0.918629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0:@0.534232:0.926188:0.537021:0.926188:0.537021:0.922831:0.534232:0.922831:0.000000:0.000000
 0    5:@0.542934:0.926188:0.552879:0.926188:0.552879:0.922831:0.542934:0.922831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f):@0.604680:0.762185:0.607270:0.762185:0.607270:0.758604:0.604680:0.758604:0.000000:0.000000
   =  :@0.607270:0.762139:0.617148:0.762139:0.617148:0.758604:0.607270:0.758604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.609761:0.762163:0.612174:0.762163:0.612174:0.758635:0.609761:0.758635:0.000000
 1:@0.618050:0.756726:0.620839:0.756726:0.620839:0.753368:0.618050:0.753368:0.000000:0.000000
 2    3  :@0.626753:0.756726:0.637948:0.756726:0.637948:0.753368:0.626753:0.753368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 4:@0.618050:0.761236:0.620839:0.761236:0.620839:0.757879:0.618050:0.757879:0.000000:0.000000
 5    1:@0.626753:0.761236:0.636698:0.761236:0.636698:0.757879:0.626753:0.757879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 7:@0.618050:0.765438:0.620839:0.765438:0.620839:0.762080:0.618050:0.762080:0.000000:0.000000
 8  –2:@0.626753:0.765438:0.636942:0.765438:0.636942:0.762080:0.626753:0.762080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.611794:0.769865:0.612610:0.769865:0.612610:0.766244:0.611794:0.766244:0.000000
g):@0.604680:0.780115:0.607848:0.780115:0.607848:0.776534:0.604680:0.776534:0.000000:0.000000
   =  :@0.607848:0.780069:0.617148:0.780069:0.617148:0.776534:0.607848:0.776534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.609761:0.780094:0.612174:0.780094:0.612174:0.776565:0.609761:0.776565:0.000000
 7:@0.618050:0.774657:0.620839:0.774657:0.620839:0.771300:0.618050:0.771300:0.000000:0.000000
–1  –2  :@0.626200:0.774657:0.638114:0.774657:0.638114:0.771300:0.626200:0.771300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.618054:0.779168:0.621952:0.779168:0.621952:0.775810:0.618054:0.775810:0.000000:0.000000
–1    4:@0.626204:0.779168:0.636706:0.779168:0.636706:0.775810:0.626204:0.775810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 5:@0.618058:0.783370:0.620847:0.783370:0.620847:0.780012:0.618058:0.780012:0.000000:0.000000
–1    5:@0.626208:0.783370:0.636710:0.783370:0.636710:0.780012:0.626208:0.780012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.822488:0.759523:0.843387:0.759523:0.843387:0.756207:0.822488:0.756207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.822488:0.762215:0.846117:0.762215:0.846117:0.758900:0.822488:0.758900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Hay ocasiones en que algunas personas  :@0.822540:0.767460:0.879524:0.767460:0.879524:0.764232:0.822540:0.764232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
piensan que no van a “avanzar” lo suficiente, :@0.812576:0.770854:0.874565:0.770854:0.874565:0.767627:0.812576:0.767627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o no van a ser atendidos por los profesores si :@0.812576:0.774249:0.875581:0.774249:0.875581:0.771021:0.812576:0.771021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estudian con niños con necesidades educativas :@0.812576:0.777643:0.878850:0.777643:0.878850:0.774416:0.812576:0.774416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
especiales; esta forma de pensar se debe cam-:@0.812576:0.781038:0.876029:0.781038:0.876029:0.777810:0.812576:0.777810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
biar, todos aprendemos de todos.:@0.812576:0.784432:0.859012:0.784432:0.859012:0.781204:0.812576:0.781204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Decide:@0.817258:0.891496:0.828719:0.891496:0.828719:0.887865:0.817258:0.887865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los procedimientos para resolver :@0.828719:0.891397:0.879868:0.891397:0.879868:0.887862:0.828719:0.887862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los siguientes sistemas de ecuaciones li-:@0.817258:0.895114:0.878974:0.895114:0.878974:0.891579:0.817258:0.891579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neales con el método de determinantes :@0.817258:0.898832:0.879869:0.898832:0.879869:0.895297:0.817258:0.895297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(método de Cramer). :@0.817258:0.902549:0.850623:0.902549:0.850623:0.899015:0.817258:0.899015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problema-decisión:@0.818173:0.887029:0.844913:0.887029:0.844913:0.883872:0.818173:0.883872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.809348:0.890363:0.811793:0.890363:0.811793:0.885942:0.809348:0.885942:0.000000