﻿216:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
Distancia de un punto a una recta:@0.404235:0.134794:0.825340:0.134794:0.825340:0.090135:0.404235:0.090135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.12. Calcular la distancia de un punto P a una recta, utilizando la condición de ortogonalidad del vector dirección de la recta y el vector PP’ en la resolución de problemas :@0.143847:0.930410:0.895011:0.930410:0.895011:0.920368:0.143847:0.920368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(distancia entre dos rectas paralelas). :@0.143847:0.939211:0.304348:0.939211:0.304348:0.929169:0.143847:0.929169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.13. Determinar la ecuación de la recta bisectriz de un ángulo como aplicación de la distancia de un punto a una recta.:@0.143847:0.948012:0.677241:0.948012:0.677241:0.937970:0.143847:0.937970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.14. Resolver y plantear aplicaciones de la ecuación vectorial, paramétrica y cartesiana de la recta con apoyo de las TIC.:@0.143847:0.956813:0.676325:0.956813:0.676325:0.946771:0.143847:0.946771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404236:0.179069:0.442035:0.179069:0.442035:0.162572:0.404236:0.162572:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.461618:0.177989:0.464373:0.177989:0.464373:0.161492:0.461618:0.161492:0.000000
2:@0.506536:0.169954:0.511454:0.169954:0.511454:0.160405:0.506536:0.160405:0.000000
:@0.491824:0.181228:0.505734:0.181228:0.505734:0.159568:0.491824:0.159568:0.000000
∈:@0.477952:0.178625:0.491688:0.178625:0.491688:0.162345:0.477952:0.162345:0.000000
AB:@0.449324:0.178105:0.474908:0.178105:0.474908:0.161636:0.449324:0.161636:0.000000:0.000000
 con :@0.517046:0.179068:0.555846:0.179068:0.555846:0.162571:0.517046:0.162571:0.000000:0.000000:0.000000:0.000000:0.000000
0, =:@0.591397:0.179069:0.633877:0.179069:0.633877:0.162572:0.591397:0.162572:0.000000:0.000000:0.000000:0.000000
|:@0.663488:0.179069:0.668497:0.179069:0.668497:0.162572:0.663488:0.162572:0.000000
A:@0.563135:0.179185:0.574405:0.179185:0.574405:0.162716:0.563135:0.162716:0.000000
V:@0.608062:0.179185:0.618812:0.179185:0.618812:0.162716:0.608062:0.162716:0.000000
tA t:@0.644858:0.179185:0.676184:0.179185:0.676184:0.162716:0.644858:0.162716:0.000000:0.000000:0.000000:0.000000
:@0.697838:0.182308:0.711747:0.182308:0.711747:0.160648:0.697838:0.160648:0.000000
{:@0.635739:0.183485:0.644987:0.183485:0.644987:0.160366:0.635739:0.160366:0.000000
}:@0.711760:0.183485:0.721007:0.183485:0.721007:0.160366:0.711760:0.160366:0.000000
≠:@0.577367:0.179705:0.587944:0.179705:0.587944:0.163425:0.577367:0.163425:0.000000
∈:@0.680340:0.179705:0.694076:0.179705:0.694076:0.163425:0.680340:0.163425:0.000000
 un subespacio de :@0.723584:0.179069:0.866590:0.179069:0.866590:0.162572:0.723584:0.162572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.870154:0.178100:0.884063:0.178100:0.884063:0.164654:0.870154:0.164654:0.000000
2:@0.884063:0.172716:0.889017:0.172716:0.889017:0.163098:0.884063:0.163098:0.000000
. :@0.889015:0.179069:0.895912:0.179069:0.895912:0.162572:0.889015:0.162572:0.000000:0.000000
 :@0.891770:0.179069:0.895912:0.179069:0.895912:0.162572:0.891770:0.162572:0.000000
El conjunto   representa, como ya se ha dicho, una recta que pasa :@0.404244:0.196420:0.895883:0.196420:0.895883:0.179922:0.404244:0.179922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.492825:0.196536:0.503575:0.196536:0.503575:0.180067:0.492825:0.180067:0.000000
por el origen  0  y es paralela al vector  . El vector :@0.404244:0.217530:0.774751:0.217533:0.774751:0.201035:0.404244:0.201032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.687176:0.217073:0.698936:0.217073:0.698936:0.199888:0.687176:0.199888:0.000000
A:@0.779736:0.217277:0.791496:0.217277:0.791496:0.200092:0.779736:0.200092:0.000000
 se llama vec-:@0.794961:0.217533:0.891769:0.217533:0.891769:0.201035:0.794961:0.201035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tor generador o director de la recta. Escribiremos,  ( ), es decir, :@0.404242:0.238440:0.895911:0.238441:0.895911:0.221944:0.404242:0.221943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.784224:0.238556:0.792065:0.238556:0.792065:0.222087:0.784224:0.222087:0.000000
A:@0.801910:0.238811:0.814032:0.238811:0.814032:0.221097:0.801910:0.221097:0.000000
 :@0.891769:0.238441:0.895911:0.238441:0.895911:0.221944:0.891769:0.221944:0.000000
L:@0.404243:0.258207:0.412084:0.258207:0.412084:0.241738:0.404243:0.241738:0.000000
( ) =  . A esta la denominaremos recta que pasa por el origen y :@0.412084:0.258091:0.895843:0.258093:0.895843:0.241595:0.412084:0.241594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.421761:0.258891:0.433403:0.258891:0.433403:0.241878:0.421761:0.241878:0.000000
V:@0.464691:0.258209:0.475441:0.258209:0.475441:0.241740:0.464691:0.241740:0.000000
está generada por  .:@0.404236:0.277743:0.553804:0.277745:0.553804:0.261247:0.404236:0.261245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.539142:0.278747:0.550902:0.278747:0.550902:0.261563:0.539142:0.261563:0.000000
Denotamos con :@0.404229:0.305781:0.523864:0.305781:0.523864:0.289283:0.404229:0.289283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.556385:0.306099:0.559181:0.306099:0.559181:0.289357:0.556385:0.289357:0.000000
LA B:@0.526472:0.306216:0.569855:0.306216:0.569855:0.289503:0.526472:0.289503:0.000000:0.000000:0.000000:0.000000
B V:@0.593414:0.306216:0.627217:0.306216:0.627217:0.289503:0.593414:0.289503:0.000000:0.000000:0.000000
B tA t:@0.653649:0.306216:0.705205:0.306216:0.705205:0.289503:0.653649:0.289503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.727180:0.309385:0.741295:0.309385:0.741295:0.287405:0.727180:0.287405:0.000000
( ):@0.535932:0.312933:0.576715:0.312933:0.576715:0.284515:0.535932:0.284515:0.000000:0.000000:0.000000
{:@0.644417:0.310580:0.653801:0.310580:0.653801:0.287119:0.644417:0.287119:0.000000
}:@0.741330:0.310580:0.750714:0.310580:0.750714:0.287119:0.741330:0.287119:0.000000
=+ =:@0.579761:0.306744:0.642284:0.306744:0.642284:0.290222:0.579761:0.290222:0.000000:0.000000:0.000000:0.000000
+:@0.665491:0.306744:0.676224:0.306744:0.676224:0.290222:0.665491:0.290222:0.000000
∈:@0.709441:0.306744:0.723381:0.306744:0.723381:0.290222:0.709441:0.290222:0.000000
 al conjunto definido como::@0.577479:0.305783:0.775312:0.305783:0.775312:0.289285:0.577479:0.289285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.565646:0.333720:0.568441:0.333720:0.568441:0.316978:0.565646:0.316978:0.000000
LA B:@0.535733:0.333838:0.579116:0.333838:0.579116:0.317125:0.535733:0.317125:0.000000:0.000000:0.000000:0.000000
B V:@0.602675:0.333838:0.636478:0.333838:0.636478:0.317125:0.602675:0.317125:0.000000:0.000000:0.000000
B tA t:@0.662910:0.333838:0.714466:0.333838:0.714466:0.317125:0.662910:0.317125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.736441:0.337007:0.750556:0.337007:0.750556:0.315027:0.736441:0.315027:0.000000
( ):@0.545193:0.340555:0.585975:0.340555:0.585975:0.312137:0.545193:0.312137:0.000000:0.000000:0.000000
{:@0.653676:0.338203:0.663060:0.338203:0.663060:0.314741:0.653676:0.314741:0.000000
}:@0.750589:0.338203:0.759973:0.338203:0.759973:0.314741:0.750589:0.314741:0.000000
=+ =:@0.589022:0.334366:0.651545:0.334366:0.651545:0.317844:0.589022:0.317844:0.000000:0.000000:0.000000:0.000000
+:@0.674752:0.334366:0.685485:0.334366:0.685485:0.317844:0.674752:0.317844:0.000000
∈:@0.718702:0.334366:0.732641:0.334366:0.732641:0.317844:0.718702:0.317844:0.000000
.:@0.760121:0.334257:0.762876:0.334257:0.762876:0.317759:0.760121:0.317759:0.000000
El conjunto :@0.404234:0.364808:0.489617:0.364808:0.489617:0.348311:0.404234:0.348311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,  representa una recta que pasa por   y es paralela :@0.521305:0.364809:0.895923:0.364809:0.895923:0.348311:0.521305:0.348311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
LA B:@0.491829:0.364925:0.534577:0.364925:0.534577:0.348456:0.491829:0.348456:0.000000:0.000000:0.000000:0.000000
B V:@0.557792:0.364925:0.591102:0.364925:0.591102:0.348456:0.557792:0.348456:0.000000:0.000000:0.000000
B tA t:@0.617148:0.364925:0.667951:0.364925:0.667951:0.348456:0.617148:0.348456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.689605:0.368048:0.703514:0.368048:0.703514:0.346388:0.689605:0.346388:0.000000
( ):@0.501150:0.371544:0.541338:0.371544:0.541338:0.343541:0.501150:0.343541:0.000000:0.000000:0.000000
{:@0.608051:0.369225:0.617298:0.369225:0.617298:0.346106:0.608051:0.346106:0.000000
}:@0.703549:0.369225:0.712796:0.369225:0.712796:0.346106:0.703549:0.346106:0.000000
=+ =:@0.544340:0.365445:0.605950:0.365445:0.605950:0.349164:0.544340:0.349164:0.000000:0.000000:0.000000:0.000000
+:@0.628818:0.365445:0.639395:0.365445:0.639395:0.349164:0.628818:0.349164:0.000000
∈:@0.672126:0.365445:0.685862:0.365445:0.685862:0.349164:0.672126:0.349164:0.000000
,:@0.756720:0.365863:0.759516:0.365863:0.759516:0.349121:0.756720:0.349121:0.000000
LA B:@0.726807:0.365981:0.770190:0.365981:0.770190:0.349268:0.726807:0.349268:0.000000:0.000000:0.000000:0.000000
B V:@0.793749:0.365981:0.827552:0.365981:0.827552:0.349268:0.793749:0.349268:0.000000:0.000000:0.000000
B tA t:@0.853985:0.365981:0.905540:0.365981:0.905540:0.349268:0.853985:0.349268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.927515:0.369150:0.941631:0.369150:0.941631:0.347170:0.927515:0.347170:0.000000
( ):@0.736267:0.372698:0.777050:0.372698:0.777050:0.344280:0.736267:0.344280:0.000000:0.000000:0.000000
{:@0.844751:0.370344:0.854135:0.370344:0.854135:0.346883:0.844751:0.346883:0.000000
}:@0.941663:0.370344:0.951048:0.370344:0.951048:0.346883:0.941663:0.346883:0.000000
=+ =:@0.780096:0.366509:0.842619:0.366509:0.842619:0.349987:0.780096:0.349987:0.000000:0.000000:0.000000:0.000000
+:@0.865826:0.366509:0.876560:0.366509:0.876560:0.349987:0.865826:0.349987:0.000000
∈:@0.909776:0.366509:0.923716:0.366509:0.923716:0.349987:0.909776:0.349987:0.000000
a  ( ). En la figura 5.1. se muestran las rectas  ( ) y :@0.404235:0.393727:0.776644:0.393727:0.776644:0.377229:0.404235:0.377229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.416218:0.393843:0.424059:0.393843:0.424059:0.377374:0.416218:0.377374:0.000000
A:@0.431993:0.395376:0.443401:0.395376:0.443401:0.378707:0.431993:0.378707:0.000000
L:@0.725081:0.393843:0.732922:0.393843:0.732922:0.377374:0.725081:0.377374:0.000000
A:@0.740966:0.394728:0.752726:0.394728:0.752726:0.377544:0.740966:0.377544:0.000000
,:@0.809158:0.394042:0.811954:0.394042:0.811954:0.377300:0.809158:0.377300:0.000000
LA B:@0.779246:0.394159:0.822629:0.394159:0.822629:0.377446:0.779246:0.377446:0.000000:0.000000:0.000000:0.000000
B V:@0.846187:0.394159:0.879990:0.394159:0.879990:0.377446:0.846187:0.377446:0.000000:0.000000:0.000000
B tA t:@0.906423:0.394159:0.957978:0.394159:0.957978:0.377446:0.906423:0.377446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.979953:0.397329:0.994069:0.397329:0.994069:0.375348:0.979953:0.375348:0.000000
( ):@0.788704:0.400876:0.829487:0.400876:0.829487:0.372459:0.788704:0.372459:0.000000:0.000000:0.000000
{:@0.897189:0.398524:0.906573:0.398524:0.906573:0.375063:0.897189:0.375063:0.000000
}:@0.994102:0.398524:1.003486:0.398524:1.003486:0.375063:0.994102:0.375063:0.000000
=+ =:@0.832535:0.394687:0.895058:0.394687:0.895058:0.378165:0.832535:0.378165:0.000000:0.000000:0.000000:0.000000
+:@0.918265:0.394687:0.928998:0.394687:0.928998:0.378165:0.918265:0.378165:0.000000
∈:@0.962215:0.394687:0.976154:0.394687:0.976154:0.378165:0.962215:0.378165:0.000000
.:@0.830253:0.393727:0.833008:0.393727:0.833008:0.377229:0.830253:0.377229:0.000000
Definición:@0.404240:0.428891:0.484324:0.428891:0.484324:0.411945:0.404240:0.411945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.404240:0.450175:0.432502:0.450175:0.432502:0.433677:0.404240:0.433677:0.000000:0.000000:0.000000:0.000000
2:@0.479146:0.442342:0.483630:0.442342:0.483630:0.433636:0.479146:0.433636:0.000000
x:@0.438480:0.449775:0.445295:0.449775:0.445295:0.434759:0.438480:0.434759:0.000000
:@0.465734:0.452623:0.478416:0.452623:0.478416:0.432874:0.465734:0.432874:0.000000
∈:@0.449791:0.450250:0.462315:0.450250:0.462315:0.435405:0.449791:0.435405:0.000000
. La distancia de   a :@0.485338:0.450180:0.640809:0.450180:0.640809:0.433682:0.485338:0.433682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.653493:0.442342:0.657977:0.442342:0.657977:0.433636:0.653493:0.433636:0.000000
x:@0.612825:0.449775:0.619641:0.449775:0.619641:0.434759:0.612825:0.434759:0.000000
:@0.640080:0.452623:0.652762:0.452623:0.652762:0.432874:0.640080:0.432874:0.000000
∈:@0.624130:0.450250:0.636655:0.450250:0.636655:0.435405:0.624130:0.435405:0.000000
,:@0.675915:0.449237:0.678711:0.449237:0.678711:0.432495:0.675915:0.432495:0.000000
LA B:@0.646002:0.449355:0.689385:0.449355:0.689385:0.432642:0.646002:0.432642:0.000000:0.000000:0.000000:0.000000
B V:@0.712944:0.449355:0.746747:0.449355:0.746747:0.432642:0.712944:0.432642:0.000000:0.000000:0.000000
B tA t:@0.773179:0.449355:0.824735:0.449355:0.824735:0.432642:0.773179:0.432642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.846710:0.452524:0.860825:0.452524:0.860825:0.430544:0.846710:0.430544:0.000000
( ):@0.655462:0.456072:0.696245:0.456072:0.696245:0.427654:0.655462:0.427654:0.000000:0.000000:0.000000
{:@0.763947:0.453720:0.773331:0.453720:0.773331:0.430258:0.763947:0.430258:0.000000
}:@0.860860:0.453720:0.870244:0.453720:0.870244:0.430258:0.860860:0.430258:0.000000
=+ =:@0.699291:0.449883:0.761814:0.449883:0.761814:0.433361:0.699291:0.433361:0.000000:0.000000:0.000000:0.000000
+:@0.785021:0.449883:0.795754:0.449883:0.795754:0.433361:0.785021:0.433361:0.000000
∈:@0.828971:0.449883:0.842911:0.449883:0.842911:0.433361:0.828971:0.433361:0.000000
 se nota :@0.697009:0.450180:0.762558:0.450180:0.762558:0.433682:0.697009:0.433682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dx LA B:@0.766763:0.450295:0.841821:0.450295:0.841821:0.433827:0.766763:0.433827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.777233:0.457834:0.783649:0.457834:0.783649:0.425924:0.777233:0.425924:0.000000
):@0.849266:0.457834:0.855681:0.457834:0.855681:0.425924:0.849266:0.425924:0.000000
( ):@0.807964:0.456466:0.848980:0.456466:0.848980:0.427486:0.807964:0.427486:0.000000:0.000000:0.000000
,:@0.794981:0.450180:0.797736:0.450180:0.797736:0.433682:0.794981:0.433682:0.000000
,:@0.828541:0.450180:0.831296:0.450180:0.831296:0.433682:0.828541:0.433682:0.000000
 y se :@0.855918:0.450180:0.895922:0.450180:0.895922:0.433682:0.855918:0.433682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891770:0.450180:0.895912:0.450180:0.895912:0.433682:0.891770:0.433682:0.000000
define como :@0.404244:0.479098:0.499010:0.479098:0.499010:0.462600:0.404244:0.462600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.530264:0.478940:0.532975:0.478940:0.532975:0.462709:0.530264:0.462709:0.000000
,:@0.563283:0.478940:0.565994:0.478940:0.565994:0.462709:0.563283:0.462709:0.000000
= mín:@0.592530:0.478940:0.642740:0.481031:0.642740:0.464800:0.592530:0.462709:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.697595:0.478940:0.700305:0.478940:0.700305:0.462709:0.697595:0.462709:0.000000
,:@0.637502:0.488546:0.639070:0.488546:0.639070:0.479151:0.637502:0.479151:0.000000
dx LA B:@0.501936:0.479054:0.576340:0.479054:0.576340:0.462851:0.501936:0.462851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.656707:0.479054:0.688589:0.479054:0.688589:0.462851:0.656707:0.462851:0.000000:0.000000:0.000000
yL AB:@0.606959:0.488612:0.644589:0.488612:0.644589:0.479233:0.606959:0.479233:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.512649:0.486499:0.518961:0.486499:0.518961:0.457185:0.512649:0.457185:0.000000
):@0.583274:0.486499:0.589586:0.486499:0.589586:0.457185:0.583274:0.457185:0.000000
( ):@0.543450:0.485567:0.582989:0.485567:0.582989:0.458016:0.543450:0.458016:0.000000:0.000000:0.000000
−:@0.667376:0.479566:0.677782:0.479566:0.677782:0.463548:0.667376:0.463548:0.000000
( ):@0.625450:0.492371:0.648423:0.492371:0.648423:0.476610:0.625450:0.476610:0.000000:0.000000:0.000000
∈:@0.612418:0.488908:0.620241:0.488908:0.620241:0.479637:0.612418:0.479637:0.000000
donde  mín:@0.404236:0.514826:0.495414:0.514239:0.495414:0.497742:0.404236:0.498329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.490082:0.521881:0.491677:0.521881:0.491677:0.512332:0.490082:0.512332:0.000000
xy:@0.509609:0.512234:0.542013:0.512234:0.542013:0.495765:0.509609:0.495765:0.000000:0.000000
yL AB:@0.459038:0.521948:0.497285:0.521948:0.497285:0.512416:0.459038:0.512416:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.520446:0.512754:0.531023:0.512754:0.531023:0.496474:0.520446:0.496474:0.000000
( ):@0.477833:0.525769:0.501182:0.525769:0.501182:0.509749:0.477833:0.509749:0.000000:0.000000:0.000000
∈:@0.464587:0.522249:0.472537:0.522249:0.472537:0.512826:0.464587:0.512826:0.000000
 es el mínimo de las distancias :@0.555224:0.514826:0.771823:0.514826:0.771823:0.498329:0.555224:0.498329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(, )=:@0.784150:0.514156:0.833894:0.514156:0.833894:0.497897:0.784150:0.497897:0.000000:0.000000:0.000000:0.000000:0.000000
dx y:@0.774752:0.514270:0.813806:0.514270:0.813806:0.498040:0.774752:0.498040:0.000000:0.000000:0.000000:0.000000
x y:@0.843216:0.514270:0.875150:0.514270:0.875150:0.498040:0.843216:0.498040:0.000000:0.000000:0.000000
−:@0.853905:0.514783:0.864328:0.514783:0.864328:0.498738:0.853905:0.498738:0.000000
del punto   al punto   de la recta.:@0.404236:0.539305:0.648229:0.539305:0.648229:0.522807:0.404236:0.522807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.520320:0.531468:0.524804:0.531468:0.524804:0.522762:0.520320:0.522762:0.000000
x:@0.479654:0.538900:0.486469:0.538900:0.486469:0.523885:0.479654:0.523885:0.000000
:@0.506908:0.541748:0.519591:0.541748:0.519591:0.521999:0.506908:0.521999:0.000000
∈:@0.490959:0.539375:0.503483:0.539375:0.503483:0.524531:0.490959:0.524531:0.000000
(, )=:@0.538046:0.539033:0.587789:0.539033:0.587789:0.522774:0.538046:0.522774:0.000000:0.000000:0.000000:0.000000:0.000000
dx y:@0.528648:0.539147:0.567702:0.539147:0.567702:0.522917:0.528648:0.522917:0.000000:0.000000:0.000000:0.000000
x y:@0.597111:0.539147:0.629046:0.539147:0.629046:0.522917:0.597111:0.522917:0.000000:0.000000:0.000000
−:@0.607800:0.539660:0.618224:0.539660:0.618224:0.523615:0.607800:0.523615:0.000000
Se prueba que la distancia de   a la recta :@0.404236:0.569235:0.704356:0.569229:0.704356:0.552731:0.404236:0.552737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.661794:0.561392:0.666278:0.561392:0.666278:0.552686:0.661794:0.552686:0.000000
x:@0.621126:0.568824:0.627941:0.568824:0.627941:0.553808:0.621126:0.553808:0.000000
:@0.648381:0.571671:0.661063:0.571671:0.661063:0.551923:0.648381:0.551923:0.000000
∈:@0.632431:0.569298:0.644955:0.569298:0.644955:0.554454:0.632431:0.554454:0.000000
,:@0.738086:0.570143:0.740961:0.570143:0.740961:0.552928:0.738086:0.552928:0.000000
LA B:@0.707349:0.570264:0.757566:0.570264:0.757566:0.553079:0.707349:0.553079:0.000000:0.000000:0.000000:0.000000
urr:@0.724788:0.556631:0.755184:0.556631:0.755184:0.539567:0.724788:0.539567:0.000000:0.000000:0.000000
( ):@0.716518:0.577021:0.765046:0.577021:0.765046:0.546102:0.716518:0.546102:0.000000:0.000000:0.000000
 :@0.768277:0.568908:0.772059:0.568908:0.772059:0.553845:0.768277:0.553845:0.000000
se expresa como :@0.772499:0.569229:0.895912:0.569229:0.895912:0.552731:0.772499:0.552731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.412455:0.587324:0.424091:0.587324:0.424091:0.570855:0.412455:0.570855:0.000000
, donde::@0.432715:0.588465:0.489258:0.588465:0.489258:0.571968:0.432715:0.571968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.622501:0.626225:0.632999:0.626225:0.632999:0.609731:0.622501:0.609731:0.000000
.:@0.722004:0.626225:0.724758:0.626225:0.724758:0.609731:0.722004:0.609731:0.000000
1, 2:@0.615895:0.675722:0.639259:0.675722:0.639259:0.659228:0.615895:0.659228:0.000000:0.000000:0.000000:0.000000
0,1:@0.668767:0.675722:0.690435:0.675722:0.690435:0.659228:0.668767:0.659228:0.000000:0.000000:0.000000
1,1,:@0.719077:0.675722:0.748989:0.675722:0.748989:0.659228:0.719077:0.659228:0.000000:0.000000:0.000000:0.000000
3,:@0.845410:0.675722:0.857641:0.675722:0.857641:0.659228:0.845410:0.659228:0.000000:0.000000
5, luego,:@0.918332:0.675722:0.978388:0.675722:0.978388:0.659228:0.918332:0.659228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de donde:@0.556571:0.720723:0.627798:0.720723:0.627798:0.704229:0.556571:0.704229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.689915:0.711384:0.698409:0.711384:0.698409:0.694890:0.689915:0.694890:0.000000
5:@0.684156:0.731724:0.692650:0.731724:0.692650:0.715229:0.684156:0.715229:0.000000
,:@0.748219:0.720723:0.750973:0.720723:0.750973:0.704229:0.748219:0.704229:0.000000
,:@0.781771:0.720723:0.784526:0.720723:0.784526:0.704229:0.781771:0.704229:0.000000
.:@0.811183:0.720723:0.813937:0.720723:0.813937:0.704229:0.811183:0.704229:0.000000
2:@0.679590:0.629235:0.685245:0.629235:0.685245:0.618254:0.679590:0.618254:0.000000
2:@0.893190:0.664393:0.898845:0.664393:0.898845:0.653412:0.893190:0.653412:0.000000
(:@0.729941:0.726937:0.736355:0.726937:0.736355:0.698289:0.729941:0.698289:0.000000
):@0.803538:0.726937:0.809952:0.726937:0.809952:0.698289:0.803538:0.698289:0.000000
(:@0.635887:0.619590:0.642301:0.619590:0.642301:0.593710:0.635887:0.593710:0.000000
):@0.679436:0.619590:0.685850:0.619590:0.685850:0.593710:0.679436:0.593710:0.000000
(:@0.758521:0.680596:0.764935:0.680596:0.764935:0.654715:0.758521:0.654715:0.000000
):@0.802070:0.680596:0.808484:0.680596:0.808484:0.654715:0.802070:0.654715:0.000000
( ):@0.761237:0.725623:0.803245:0.725623:0.803245:0.699742:0.761237:0.699742:0.000000:0.000000:0.000000
( ) ( ) ():@0.609560:0.678773:0.744214:0.678773:0.744214:0.656798:0.609560:0.656798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=−:@0.571666:0.626861:0.608879:0.626861:0.608879:0.610584:0.571666:0.610584:0.000000:0.000000
−:@0.655413:0.615354:0.665988:0.615354:0.665988:0.599077:0.655413:0.599077:0.000000
⋅:@0.686867:0.615354:0.691682:0.615354:0.691682:0.599077:0.686867:0.599077:0.000000
−=:@0.568998:0.676356:0.606326:0.676356:0.606326:0.660079:0.568998:0.660079:0.000000:0.000000
−:@0.648546:0.676356:0.659120:0.676356:0.659120:0.660079:0.648546:0.660079:0.000000
=:@0.698894:0.676356:0.709469:0.676356:0.709469:0.660079:0.698894:0.660079:0.000000
−:@0.778057:0.676356:0.788632:0.676356:0.788632:0.660079:0.778057:0.660079:0.000000
⋅ =:@0.809511:0.676356:0.841754:0.676356:0.841754:0.660079:0.809511:0.660079:0.000000:0.000000:0.000000
=:@0.904506:0.676356:0.915081:0.676356:0.915081:0.660079:0.904506:0.660079:0.000000
=:@0.661605:0.721357:0.672179:0.721357:0.672179:0.705080:0.661605:0.705080:0.000000
=:@0.704846:0.721357:0.715420:0.721357:0.715420:0.705080:0.704846:0.705080:0.000000
Dx B:@0.556594:0.626339:0.620580:0.626341:0.620580:0.609875:0.556594:0.609874:0.000000:0.000000:0.000000:0.000000
xB A:@0.644156:0.614834:0.705156:0.614834:0.705156:0.598369:0.644156:0.598369:0.000000:0.000000:0.000000:0.000000
A:@0.660817:0.640666:0.672085:0.640666:0.672085:0.624201:0.660817:0.624201:0.000000
A:@0.709066:0.626326:0.720334:0.626326:0.720334:0.609861:0.709066:0.609861:0.000000
xB:@0.557743:0.675835:0.591277:0.675835:0.591277:0.659370:0.557743:0.659370:0.000000:0.000000
xB A:@0.766803:0.675835:0.827784:0.675835:0.827784:0.659370:0.766803:0.659370:0.000000:0.000000:0.000000:0.000000
A:@0.874395:0.675835:0.885663:0.675835:0.885663:0.659370:0.874395:0.659370:0.000000
D:@0.985089:0.675835:0.996722:0.675835:0.996722:0.659370:0.985089:0.659370:0.000000
D:@0.640855:0.720837:0.652489:0.720837:0.652489:0.704371:0.640855:0.704371:0.000000
d xL AB:@0.719479:0.720837:0.795078:0.720837:0.795078:0.704371:0.719479:0.704371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.739415:0.630518:0.743557:0.630518:0.743557:0.614021:0.739415:0.614021:0.000000
Ejercicio resuelto 1:@0.404238:0.665596:0.535066:0.665596:0.535066:0.648809:0.404238:0.648809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404238:0.684971:0.442036:0.684971:0.442036:0.668473:0.404238:0.668473:0.000000:0.000000:0.000000:0.000000:0.000000
=2,1 ,:@0.459449:0.685685:0.511857:0.685685:0.511857:0.668470:0.459449:0.668470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 0,1y:@0.532482:0.685685:0.595525:0.685685:0.595525:0.668470:0.532482:0.668470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=1,2 .:@0.616693:0.685685:0.670348:0.685685:0.670348:0.668470:0.616693:0.668470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.444790:0.685806:0.456551:0.685806:0.456551:0.668621:0.444790:0.668621:0.000000
B:@0.518869:0.685806:0.528459:0.685806:0.528459:0.668621:0.518869:0.668621:0.000000
x:@0.604357:0.685806:0.612157:0.685806:0.612157:0.668621:0.604357:0.668621:0.000000
():@0.473269:0.689522:0.506500:0.689522:0.506500:0.667097:0.473269:0.667097:0.000000:0.000000
( ):@0.546303:0.689522:0.579955:0.689522:0.579955:0.667097:0.546303:0.667097:0.000000:0.000000:0.000000
( ):@0.630481:0.689522:0.665822:0.689522:0.665822:0.667097:0.630481:0.667097:0.000000:0.000000:0.000000
La recta que pasa por   y es :@0.675479:0.684974:0.895901:0.684974:0.895901:0.668477:0.675479:0.668477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.809755:0.686029:0.812551:0.686029:0.812551:0.669286:0.809755:0.669286:0.000000
LA B:@0.779842:0.686146:0.823225:0.686146:0.823225:0.669433:0.779842:0.669433:0.000000:0.000000:0.000000:0.000000
B V:@0.846784:0.686146:0.880587:0.686146:0.880587:0.669433:0.846784:0.669433:0.000000:0.000000:0.000000
B tA t:@0.907020:0.686146:0.958575:0.686146:0.958575:0.669433:0.907020:0.669433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.980550:0.689315:0.994665:0.689315:0.994665:0.667335:0.980550:0.667335:0.000000
( ):@0.789300:0.692863:0.830083:0.692863:0.830083:0.664445:0.789300:0.664445:0.000000:0.000000:0.000000
{:@0.897785:0.690511:0.907170:0.690511:0.907170:0.667050:0.897785:0.667050:0.000000
}:@0.994698:0.690511:1.004083:0.690511:1.004083:0.667050:0.994698:0.667050:0.000000
=+ =:@0.833131:0.686674:0.895654:0.686674:0.895654:0.670152:0.833131:0.670152:0.000000:0.000000:0.000000:0.000000
+:@0.918861:0.686674:0.929594:0.686674:0.929594:0.670152:0.918861:0.670152:0.000000
∈:@0.962811:0.686674:0.976751:0.686674:0.976751:0.670152:0.962811:0.670152:0.000000
paralela al vector   es el conjunto::@0.404233:0.704306:0.654141:0.704314:0.654141:0.687817:0.404233:0.687808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.531563:0.704492:0.543323:0.704492:0.543323:0.687307:0.531563:0.687307:0.000000
,:@0.512048:0.734611:0.514923:0.734611:0.514923:0.717396:0.512048:0.717396:0.000000
=:@0.536815:0.734611:0.548092:0.734611:0.548092:0.717396:0.536815:0.717396:0.000000
|:@0.604441:0.734611:0.609667:0.734611:0.609667:0.717396:0.604441:0.717396:0.000000
= 2,1:@0.666317:0.734611:0.724978:0.734611:0.724978:0.717396:0.666317:0.717396:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.753805:0.734611:0.759032:0.734611:0.759032:0.717396:0.753805:0.717396:0.000000
.:@0.814375:0.734611:0.817250:0.734611:0.817250:0.717396:0.814375:0.717396:0.000000
LA B:@0.481317:0.734731:0.525765:0.734731:0.525765:0.717547:0.481317:0.717547:0.000000:0.000000:0.000000:0.000000
B tA t:@0.559316:0.734731:0.617454:0.734731:0.617454:0.717547:0.559316:0.717547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.704942:0.734731:0.710852:0.734731:0.710852:0.717547:0.704942:0.717547:0.000000
tt:@0.738393:0.734731:0.766818:0.734731:0.766818:0.717547:0.738393:0.717547:0.000000:0.000000
:@0.639627:0.737990:0.504777:0.737990:0.504777:0.715389:0.639627:0.715389:0.000000
:@0.788992:0.737990:0.654142:0.737990:0.654142:0.715389:0.788992:0.715389:0.000000
( ):@0.490898:0.740270:0.533878:0.740270:0.533878:0.713938:0.490898:0.713938:0.000000:0.000000:0.000000
{:@0.549793:0.739213:0.559442:0.739213:0.559442:0.715089:0.549793:0.715089:0.000000
}:@0.654187:0.739213:0.663836:0.739213:0.663836:0.715089:0.654187:0.715089:0.000000
{:@0.679309:0.738785:0.688958:0.738785:0.688958:0.715680:0.679309:0.715680:0.000000
}:@0.803545:0.738785:0.813194:0.738785:0.813194:0.715680:0.803545:0.715680:0.000000
(:@0.688838:0.738447:0.695532:0.738447:0.695532:0.716022:0.688838:0.716022:0.000000
):@0.745427:0.738447:0.752121:0.738447:0.752121:0.716022:0.745427:0.716022:0.000000
+:@0.571938:0.735275:0.582974:0.735275:0.582974:0.718286:0.571938:0.718286:0.000000
∈:@0.621612:0.735275:0.635945:0.735275:0.635945:0.718286:0.621612:0.718286:0.000000
+:@0.725169:0.735275:0.736205:0.735275:0.736205:0.718286:0.725169:0.718286:0.000000
∈:@0.770983:0.735275:0.785316:0.735275:0.785316:0.718286:0.770983:0.718286:0.000000
 :@0.817203:0.745766:0.821345:0.745766:0.821345:0.729269:0.817203:0.729269:0.000000
Calculemos la distancia de   a esta recta :@0.404233:0.766255:0.697915:0.766260:0.697915:0.749763:0.404233:0.749757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.639864:0.758422:0.644347:0.758422:0.644347:0.749716:0.639864:0.749716:0.000000
x:@0.599196:0.765855:0.606011:0.765855:0.606011:0.750840:0.599196:0.750840:0.000000
:@0.626457:0.768703:0.639139:0.768703:0.639139:0.748955:0.626457:0.748955:0.000000
∈:@0.610508:0.766330:0.623032:0.766330:0.623032:0.751486:0.610508:0.751486:0.000000
,:@0.730429:0.766575:0.733225:0.766575:0.733225:0.749833:0.730429:0.749833:0.000000
LA B:@0.700516:0.766692:0.743899:0.766692:0.743899:0.749980:0.700516:0.749980:0.000000:0.000000:0.000000:0.000000
B V:@0.767458:0.766692:0.801261:0.766692:0.801261:0.749980:0.767458:0.749980:0.000000:0.000000:0.000000
B tA t:@0.827693:0.766692:0.879249:0.766692:0.879249:0.749980:0.827693:0.749980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.901224:0.769862:0.915339:0.769862:0.915339:0.747881:0.901224:0.747881:0.000000
( ):@0.709976:0.773410:0.750759:0.773410:0.750759:0.744992:0.709976:0.744992:0.000000:0.000000:0.000000
{:@0.818461:0.771057:0.827845:0.771057:0.827845:0.747596:0.818461:0.747596:0.000000
}:@0.915374:0.771057:0.924758:0.771057:0.924758:0.747596:0.915374:0.747596:0.000000
=+ =:@0.753805:0.767221:0.816328:0.767221:0.816328:0.750699:0.753805:0.750699:0.000000:0.000000:0.000000:0.000000
+:@0.839535:0.767221:0.850268:0.767221:0.850268:0.750699:0.839535:0.750699:0.000000
∈:@0.883485:0.767221:0.897425:0.767221:0.897425:0.750699:0.883485:0.750699:0.000000
. Puesto que :@0.751523:0.766260:0.841818:0.766260:0.841818:0.749763:0.751523:0.749763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.470145:0.799198:0.480642:0.799198:0.480642:0.782704:0.470145:0.782704:0.000000
.:@0.569648:0.799198:0.572402:0.799198:0.572402:0.782704:0.569648:0.782704:0.000000
1, 2:@0.463539:0.848695:0.486902:0.848695:0.486902:0.832201:0.463539:0.832201:0.000000:0.000000:0.000000:0.000000
0,1:@0.516410:0.848695:0.538079:0.848695:0.538079:0.832201:0.516410:0.832201:0.000000:0.000000:0.000000
1,1,:@0.566720:0.848695:0.596633:0.848695:0.596633:0.832201:0.566720:0.832201:0.000000:0.000000:0.000000:0.000000
3,:@0.693054:0.848695:0.705284:0.848695:0.705284:0.832201:0.693054:0.832201:0.000000:0.000000
5, luego,:@0.765976:0.848695:0.826032:0.848695:0.826032:0.832201:0.765976:0.832201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,1:@0.867963:0.848695:0.887667:0.848695:0.887667:0.832201:0.867963:0.832201:0.000000:0.000000:0.000000
3 2,1:@0.909567:0.839356:0.952300:0.841479:0.952300:0.825018:0.909567:0.822862:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.909375:0.859696:0.917869:0.859696:0.917869:0.843202:0.909375:0.843202:0.000000
2,1:@0.927461:0.848695:0.949149:0.848695:0.949149:0.832201:0.927461:0.832201:0.000000:0.000000:0.000000
1 2 ,:@0.996396:0.839356:1.013886:0.841479:1.013886:0.825018:0.996396:0.822862:0.000000:0.000000:0.000000:0.000000:0.000000
5 5:@0.995760:0.859696:1.022206:0.859696:1.022206:0.843202:0.995760:0.843202:0.000000:0.000000:0.000000
de donde:@0.404215:0.893696:0.475442:0.893696:0.475442:0.877202:0.404215:0.877202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.537559:0.884357:0.546053:0.884357:0.546053:0.867863:0.537559:0.867863:0.000000
5:@0.531800:0.904697:0.540294:0.904697:0.540294:0.888203:0.531800:0.888203:0.000000
,:@0.595862:0.893696:0.598616:0.893696:0.598616:0.877202:0.595862:0.877202:0.000000
,:@0.629415:0.893696:0.632169:0.893696:0.632169:0.877202:0.629415:0.877202:0.000000
.:@0.658827:0.893696:0.661581:0.893696:0.661581:0.877202:0.658827:0.877202:0.000000
2:@0.527236:0.802208:0.532891:0.802208:0.532891:0.791227:0.527236:0.791227:0.000000
2:@0.740835:0.837366:0.746490:0.837366:0.746490:0.826385:0.740835:0.826385:0.000000
(:@0.577587:0.899910:0.584001:0.899910:0.584001:0.871262:0.577587:0.871262:0.000000
):@0.651183:0.899910:0.657597:0.899910:0.657597:0.871262:0.651183:0.871262:0.000000
(:@0.483532:0.792564:0.489946:0.792564:0.489946:0.766683:0.483532:0.766683:0.000000
):@0.527081:0.792564:0.533495:0.792564:0.533495:0.766683:0.527081:0.766683:0.000000
(:@0.606165:0.853569:0.612579:0.853569:0.612579:0.827688:0.606165:0.827688:0.000000
):@0.649714:0.853569:0.656128:0.853569:0.656128:0.827688:0.649714:0.827688:0.000000
( ):@0.608880:0.898596:0.650889:0.898596:0.650889:0.872715:0.608880:0.872715:0.000000:0.000000:0.000000
( ) ( ) ():@0.457204:0.851746:0.591858:0.851746:0.591858:0.829772:0.457204:0.829772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.861648:0.851746:0.893140:0.851746:0.893140:0.829772:0.861648:0.829772:0.000000:0.000000
( ):@0.920375:0.851746:0.954640:0.851746:0.954640:0.829772:0.920375:0.829772:0.000000:0.000000:0.000000
=−:@0.419310:0.799834:0.456522:0.799834:0.456522:0.783557:0.419310:0.783557:0.000000:0.000000
−:@0.503057:0.788327:0.513632:0.788327:0.513632:0.772050:0.503057:0.772050:0.000000
⋅:@0.534510:0.788327:0.539326:0.788327:0.539326:0.772050:0.534510:0.772050:0.000000
−=:@0.416641:0.849329:0.453969:0.849329:0.453969:0.833052:0.416641:0.833052:0.000000:0.000000
−:@0.496190:0.849329:0.506764:0.849329:0.506764:0.833052:0.496190:0.833052:0.000000
=:@0.546538:0.849329:0.557112:0.849329:0.557112:0.833052:0.546538:0.833052:0.000000
−:@0.625701:0.849329:0.636275:0.849329:0.636275:0.833052:0.625701:0.833052:0.000000
⋅ =:@0.657154:0.849329:0.689397:0.849329:0.689397:0.833052:0.657154:0.833052:0.000000:0.000000:0.000000
=:@0.752150:0.849329:0.762724:0.849329:0.762724:0.833052:0.752150:0.833052:0.000000
=:@0.847820:0.849329:0.858394:0.849329:0.858394:0.833052:0.847820:0.833052:0.000000
−:@0.894971:0.849329:0.905545:0.849329:0.905545:0.833052:0.894971:0.833052:0.000000
=−:@0.957627:0.849329:0.992759:0.849329:0.992759:0.833052:0.957627:0.833052:0.000000:0.000000
=:@0.509249:0.894330:0.519823:0.894330:0.519823:0.878053:0.509249:0.878053:0.000000
=:@0.552490:0.894330:0.563064:0.894330:0.563064:0.878053:0.552490:0.878053:0.000000
Dx B:@0.404237:0.799312:0.468224:0.799314:0.468224:0.782849:0.404237:0.782847:0.000000:0.000000:0.000000:0.000000
xB A:@0.491800:0.787807:0.552799:0.787807:0.552799:0.771342:0.491800:0.771342:0.000000:0.000000:0.000000:0.000000
A:@0.508461:0.813640:0.519728:0.813640:0.519728:0.797174:0.508461:0.797174:0.000000
A:@0.556709:0.799299:0.567977:0.799299:0.567977:0.782834:0.556709:0.782834:0.000000
xB:@0.405387:0.848809:0.438921:0.848809:0.438921:0.832344:0.405387:0.832344:0.000000:0.000000
xB A:@0.614447:0.848809:0.675427:0.848809:0.675427:0.832344:0.614447:0.832344:0.000000:0.000000:0.000000:0.000000
A:@0.722039:0.848809:0.733307:0.848809:0.733307:0.832344:0.722039:0.832344:0.000000
D:@0.832732:0.848809:0.844366:0.848809:0.844366:0.832344:0.832732:0.832344:0.000000
D:@0.488499:0.893810:0.500132:0.893810:0.500132:0.877345:0.488499:0.877345:0.000000
d xL AB:@0.567122:0.893810:0.642722:0.893810:0.642722:0.877345:0.567122:0.877345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se sigue que: :@0.575980:0.797356:0.675485:0.797356:0.675485:0.780858:0.575980:0.780858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.469998:0.792084:0.480473:0.792084:0.480473:0.775624:0.469998:0.775624:0.000000
.:@0.569297:0.792084:0.572046:0.792084:0.572046:0.775624:0.569297:0.775624:0.000000
1, 2:@0.463416:0.841479:0.486732:0.841479:0.486732:0.825018:0.463416:0.825018:0.000000:0.000000:0.000000:0.000000
0,1:@0.516179:0.841479:0.537804:0.841479:0.537804:0.825018:0.516179:0.825018:0.000000:0.000000:0.000000
1,1,:@0.566367:0.841479:0.596238:0.841479:0.596238:0.825018:0.566367:0.825018:0.000000:0.000000:0.000000:0.000000
3,:@0.692462:0.841479:0.704667:0.841479:0.704667:0.825018:0.692462:0.825018:0.000000:0.000000
5, Luego,:@0.765216:0.841479:0.829377:0.841479:0.829377:0.825018:0.765216:0.825018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,1:@0.871280:0.841479:0.890944:0.841479:0.890944:0.825018:0.871280:0.825018:0.000000:0.000000:0.000000
3:@0.912799:0.832159:0.921276:0.832159:0.921276:0.815699:0.912799:0.815699:0.000000
5:@0.912588:0.852457:0.921065:0.852457:0.921065:0.835997:0.912588:0.835997:0.000000
1 2:@0.999451:0.832159:1.025208:0.832159:1.025208:0.815699:0.999451:0.815699:0.000000:0.000000:0.000000
5 5:@0.998816:0.852457:1.025208:0.852457:1.025208:0.835997:0.998816:0.835997:0.000000:0.000000:0.000000
de donde:@0.404212:0.886402:0.475313:0.886402:0.475313:0.869942:0.404212:0.869942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.537303:0.877083:0.545780:0.877083:0.545780:0.860622:0.537303:0.860622:0.000000
5:@0.531556:0.897380:0.540033:0.897380:0.540033:0.880920:0.531556:0.880920:0.000000
,:@0.595488:0.886402:0.598236:0.886402:0.598236:0.869942:0.595488:0.869942:0.000000
,:@0.628972:0.886402:0.631720:0.886402:0.631720:0.869942:0.628972:0.869942:0.000000
.:@0.658323:0.886402:0.661072:0.886402:0.661072:0.869942:0.658323:0.869942:0.000000
2:@0.526983:0.795079:0.532626:0.795079:0.532626:0.784121:0.526983:0.784121:0.000000
2:@0.740142:0.830164:0.745786:0.830164:0.745786:0.819206:0.740142:0.819206:0.000000
(:@0.577231:0.892591:0.583632:0.892591:0.583632:0.864001:0.577231:0.864001:0.000000
):@0.650678:0.892591:0.657078:0.892591:0.657078:0.864001:0.650678:0.864001:0.000000
(:@0.483356:0.785465:0.489757:0.785465:0.489757:0.759637:0.483356:0.759637:0.000000
):@0.526816:0.785465:0.533217:0.785465:0.533217:0.759637:0.526816:0.759637:0.000000
(:@0.605737:0.846354:0.612138:0.846354:0.612138:0.820527:0.605737:0.820527:0.000000
):@0.649198:0.846354:0.655599:0.846354:0.655599:0.820527:0.649198:0.820527:0.000000
( ):@0.608453:0.891270:0.650375:0.891270:0.650375:0.865442:0.608453:0.865442:0.000000:0.000000:0.000000
( ) ( ) ():@0.457097:0.844535:0.591476:0.844535:0.591476:0.822605:0.457097:0.822605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.864962:0.844535:0.896390:0.844535:0.896390:0.822605:0.864962:0.822605:0.000000:0.000000
( ):@0.923569:0.844535:0.957765:0.844535:0.957765:0.822605:0.923569:0.822605:0.000000:0.000000:0.000000
=−:@0.419280:0.792719:0.456416:0.792719:0.456416:0.776475:0.419280:0.776475:0.000000:0.000000
−:@0.502856:0.781236:0.513409:0.781236:0.513409:0.764992:0.502856:0.764992:0.000000
⋅:@0.534245:0.781236:0.539050:0.781236:0.539050:0.764992:0.534245:0.764992:0.000000
−=:@0.416616:0.842113:0.453868:0.842113:0.453868:0.825869:0.416616:0.825869:0.000000:0.000000
−:@0.496002:0.842113:0.506554:0.842113:0.506554:0.825869:0.496002:0.825869:0.000000
=:@0.546247:0.842113:0.556800:0.842113:0.556800:0.825869:0.546247:0.825869:0.000000
−:@0.625229:0.842113:0.635782:0.842113:0.635782:0.825869:0.625229:0.825869:0.000000
⋅ =:@0.656618:0.842113:0.688803:0.842113:0.688803:0.825869:0.656618:0.825869:0.000000:0.000000:0.000000
=:@0.751427:0.842113:0.761980:0.842113:0.761980:0.825869:0.751427:0.825869:0.000000
=:@0.851169:0.842113:0.861721:0.842113:0.861721:0.825869:0.851169:0.825869:0.000000
−:@0.898223:0.842113:0.908776:0.842113:0.908776:0.825869:0.898223:0.825869:0.000000
=−:@0.960751:0.842113:0.995812:0.842113:0.995812:0.825869:0.960751:0.825869:0.000000:0.000000
=:@0.509003:0.887037:0.519556:0.887037:0.519556:0.870793:0.509003:0.870793:0.000000
=:@0.552156:0.887037:0.562708:0.887037:0.562708:0.870793:0.552156:0.870793:0.000000
Dx B:@0.404226:0.792199:0.468080:0.792199:0.468080:0.775767:0.404226:0.775767:0.000000:0.000000:0.000000:0.000000
xB A:@0.491607:0.780715:0.552482:0.780715:0.552482:0.764284:0.491607:0.764284:0.000000:0.000000:0.000000:0.000000
A:@0.508234:0.806495:0.519479:0.806495:0.519479:0.790063:0.508234:0.790063:0.000000
A:@0.556384:0.792184:0.567629:0.792184:0.567629:0.775753:0.556384:0.775753:0.000000
xB:@0.405385:0.841594:0.438850:0.841594:0.438850:0.825163:0.405385:0.825163:0.000000:0.000000
xB A:@0.613998:0.841594:0.674874:0.841594:0.674874:0.825163:0.613998:0.825163:0.000000:0.000000:0.000000:0.000000
A:@0.721390:0.841594:0.732635:0.841594:0.732635:0.825163:0.721390:0.825163:0.000000
D:@0.836130:0.841594:0.847740:0.841594:0.847740:0.825163:0.836130:0.825163:0.000000
D:@0.488332:0.886518:0.499942:0.886518:0.499942:0.870086:0.488332:0.870086:0.000000
d xL AB:@0.566795:0.886518:0.642240:0.886518:0.642240:0.870086:0.566795:0.870086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.781123:0.832057:0.785265:0.832057:0.785265:0.815560:0.781123:0.815560:0.000000
Saberes previos:@0.199646:0.108582:0.307805:0.108582:0.307805:0.093110:0.199646:0.093110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo calculas la dis-:@0.199884:0.137210:0.341624:0.137210:0.341624:0.122147:0.199884:0.122147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tancia de un punto a una recta?:@0.153341:0.153052:0.359511:0.153052:0.359511:0.137989:0.153341:0.137989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.196639:0.363493:0.196639:0.363493:0.181166:0.199646:0.181166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es un vector gene-:@0.199884:0.225267:0.357311:0.225267:0.357311:0.210204:0.199884:0.210204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rador? Explica tu respuesta.:@0.153341:0.241109:0.329202:0.241109:0.329202:0.226046:0.153341:0.226046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.177307:0.783383:0.184204:0.783383:0.184204:0.769988:0.177307:0.769988:0.000000
A:@0.196702:0.743622:0.206087:0.743622:0.206087:0.729993:0.196702:0.729993:0.000000
L(A):@0.265430:0.717150:0.291144:0.717150:0.291144:0.703521:0.265430:0.703521:0.000000:0.000000:0.000000:0.000000
L(A, B):@0.324633:0.744092:0.364628:0.744092:0.364628:0.730462:0.324633:0.730462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.351607:0.782546:0.357910:0.782546:0.357910:0.768917:0.351607:0.768917:0.000000
y:@0.172497:0.668981:0.179004:0.668981:0.179004:0.655352:0.172497:0.655352:0.000000
B:@0.200184:0.792291:0.208003:0.792418:0.208396:0.778792:0.200577:0.778665:0.000000
p:@0.308062:0.848063:0.319543:0.848063:0.319543:0.838039:0.308062:0.838039:0.000000
 :@0.319543:0.848771:0.322424:0.848771:0.322424:0.837295:0.319543:0.837295:0.000000
Figura 5.1.:@0.322424:0.848771:0.370993:0.848771:0.370993:0.837295:0.322424:0.837295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.716529:0.790320:0.726550:0.790320:0.726550:0.773860:0.716529:0.773860:0.000000
.:@0.811516:0.790320:0.814146:0.790320:0.814146:0.773860:0.811516:0.773860:0.000000
1, 2:@0.710241:0.839716:0.732544:0.839716:0.732544:0.823256:0.710241:0.823256:0.000000:0.000000:0.000000:0.000000
0,1:@0.760713:0.839716:0.781398:0.839716:0.781398:0.823256:0.760713:0.823256:0.000000:0.000000:0.000000
1,1,:@0.808721:0.839716:0.837295:0.839716:0.837295:0.823256:0.808721:0.823256:0.000000:0.000000:0.000000:0.000000
3,:@0.929340:0.839716:0.941015:0.839716:0.941015:0.823256:0.929340:0.823256:0.000000:0.000000
5, Luego,:@0.998934:0.839716:1.060310:0.839716:1.060310:0.823256:0.998934:0.823256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de donde:@0.653609:0.884639:0.721623:0.884639:0.721623:0.868179:0.653609:0.868179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.780920:0.875320:0.789029:0.875320:0.789029:0.858860:0.780920:0.858860:0.000000
5:@0.775423:0.895618:0.783531:0.895618:0.783531:0.879157:0.775423:0.879157:0.000000
,:@0.836578:0.884639:0.839207:0.884639:0.839207:0.868179:0.836578:0.868179:0.000000
,:@0.868608:0.884639:0.871237:0.884639:0.871237:0.868179:0.868608:0.868179:0.000000
.:@0.896684:0.884639:0.899314:0.884639:0.899314:0.868179:0.896684:0.868179:0.000000
2:@0.771042:0.793315:0.776440:0.793315:0.776440:0.782357:0.771042:0.782357:0.000000
2:@0.974945:0.828400:0.980344:0.828400:0.980344:0.817442:0.974945:0.817442:0.000000
(:@0.819106:0.890827:0.825229:0.890827:0.825229:0.862237:0.819106:0.862237:0.000000
):@0.889362:0.890827:0.895485:0.890827:0.895485:0.862237:0.889362:0.862237:0.000000
(:@0.729308:0.783699:0.735431:0.783699:0.735431:0.757871:0.729308:0.757871:0.000000
):@0.770881:0.783699:0.777004:0.783699:0.777004:0.757871:0.770881:0.757871:0.000000
(:@0.846378:0.844599:0.852501:0.844599:0.852501:0.818771:0.846378:0.818771:0.000000
):@0.887950:0.844599:0.894073:0.844599:0.894073:0.818771:0.887950:0.818771:0.000000
( ):@0.848970:0.889511:0.889072:0.889511:0.889072:0.863683:0.848970:0.863683:0.000000:0.000000:0.000000
( ) ( ) ():@0.704190:0.842771:0.832733:0.842771:0.832733:0.820841:0.704190:0.820841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=−:@0.668014:0.790955:0.703538:0.790955:0.703538:0.774711:0.668014:0.774711:0.000000:0.000000
−:@0.747961:0.779472:0.758055:0.779472:0.758055:0.763228:0.747961:0.763228:0.000000
⋅:@0.777987:0.779472:0.782583:0.779472:0.782583:0.763228:0.777987:0.763228:0.000000
−=:@0.665477:0.840336:0.701111:0.840336:0.701111:0.824092:0.665477:0.824092:0.000000:0.000000
−:@0.741415:0.840336:0.751510:0.840336:0.751510:0.824092:0.741415:0.824092:0.000000
=:@0.789478:0.840336:0.799573:0.840336:0.799573:0.824092:0.789478:0.824092:0.000000
−:@0.865030:0.840336:0.875125:0.840336:0.875125:0.824092:0.865030:0.824092:0.000000
⋅ =:@0.895056:0.840336:0.925836:0.840336:0.925836:0.824092:0.895056:0.824092:0.000000:0.000000:0.000000
=:@0.985741:0.840336:0.995835:0.840336:0.995835:0.824092:0.985741:0.824092:0.000000
=:@0.753845:0.885260:0.763939:0.885260:0.763939:0.869016:0.753845:0.869016:0.000000
=:@0.795123:0.885260:0.805218:0.885260:0.805218:0.869016:0.795123:0.869016:0.000000
Dx B:@0.653617:0.790421:0.714699:0.790421:0.714699:0.773990:0.653617:0.773990:0.000000:0.000000:0.000000:0.000000
xB A:@0.737204:0.778938:0.795436:0.778938:0.795436:0.762507:0.737204:0.762507:0.000000:0.000000:0.000000:0.000000
A:@0.753109:0.804718:0.763865:0.804718:0.763865:0.788286:0.753109:0.788286:0.000000
A:@0.799168:0.790407:0.809925:0.790407:0.809925:0.773975:0.799168:0.773975:0.000000
xB:@0.654721:0.839803:0.686732:0.839803:0.686732:0.823371:0.654721:0.823371:0.000000:0.000000
xB A:@0.854274:0.839803:0.912505:0.839803:0.912505:0.823371:0.854274:0.823371:0.000000:0.000000:0.000000:0.000000
A:@0.957002:0.839803:0.967758:0.839803:0.967758:0.823371:0.957002:0.823371:0.000000
D:@0.734079:0.884726:0.745184:0.884726:0.745184:0.868294:0.734079:0.868294:0.000000
d xL AB:@0.809134:0.884726:0.881303:0.884726:0.881303:0.868294:0.809134:0.868294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.104163:0.836198:0.114184:0.836198:0.114184:0.820452:0.104163:0.820452:0.000000
.:@0.199150:0.836198:0.201779:0.836198:0.201779:0.820452:0.199150:0.820452:0.000000
1, 2:@0.097875:0.883448:0.120178:0.883448:0.120178:0.867703:0.097875:0.867703:0.000000:0.000000:0.000000:0.000000
0,1:@0.148347:0.883448:0.169032:0.883448:0.169032:0.867703:0.148347:0.867703:0.000000:0.000000:0.000000
1,1,:@0.196355:0.883448:0.224928:0.883448:0.224928:0.867703:0.196355:0.867703:0.000000:0.000000:0.000000:0.000000
3,:@0.316973:0.883448:0.328649:0.883448:0.328649:0.867703:0.316973:0.867703:0.000000:0.000000
5, Luego,:@0.386568:0.883448:0.447936:0.883446:0.447936:0.867701:0.386568:0.867703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,1:@0.488019:0.883446:0.506829:0.883446:0.506829:0.867701:0.488019:0.867701:0.000000:0.000000:0.000000
3:@0.527735:0.874531:0.535844:0.874531:0.535844:0.858786:0.527735:0.858786:0.000000
5:@0.527542:0.893946:0.535651:0.893946:0.535651:0.878200:0.527542:0.878200:0.000000
2,1:@0.544831:0.883446:0.565534:0.883446:0.565534:0.867701:0.544831:0.867701:0.000000:0.000000:0.000000
1 2:@0.610637:0.874531:0.635284:0.874531:0.635284:0.858786:0.610637:0.858786:0.000000:0.000000:0.000000
5 5:@0.610034:0.893946:0.635281:0.893946:0.635281:0.878200:0.610034:0.878200:0.000000:0.000000:0.000000
,:@0.621825:0.883446:0.624454:0.883446:0.624454:0.867701:0.621825:0.867701:0.000000
,:@0.645972:0.883446:0.648601:0.883446:0.648601:0.867701:0.645972:0.867701:0.000000
de donde:@0.041258:0.926421:0.109271:0.926421:0.109271:0.910675:0.041258:0.910675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.168569:0.917506:0.176677:0.917506:0.176677:0.901760:0.168569:0.901760:0.000000
5:@0.163071:0.936922:0.171180:0.936922:0.171180:0.921177:0.163071:0.921177:0.000000
,:@0.224226:0.926421:0.226855:0.926421:0.226855:0.910675:0.224226:0.910675:0.000000
,:@0.256256:0.926421:0.258886:0.926421:0.258886:0.910675:0.256256:0.910675:0.000000
.:@0.284333:0.926421:0.286962:0.926421:0.286962:0.910675:0.284333:0.910675:0.000000
2:@0.158675:0.839061:0.164073:0.839061:0.164073:0.828579:0.158675:0.828579:0.000000
2:@0.362578:0.872623:0.367976:0.872623:0.367976:0.862140:0.362578:0.862140:0.000000
(:@0.206739:0.932338:0.212862:0.932338:0.212862:0.904991:0.206739:0.904991:0.000000
):@0.276995:0.932338:0.283118:0.932338:0.283118:0.904991:0.276995:0.904991:0.000000
(:@0.116941:0.829864:0.123064:0.829864:0.123064:0.805158:0.116941:0.805158:0.000000
):@0.158514:0.829864:0.164637:0.829864:0.164637:0.805158:0.158514:0.805158:0.000000
(:@0.234011:0.888119:0.240134:0.888119:0.240134:0.863412:0.234011:0.863412:0.000000
):@0.275583:0.888119:0.281706:0.888119:0.281706:0.863412:0.275583:0.863412:0.000000
( ):@0.236603:0.931080:0.276705:0.931080:0.276705:0.906374:0.236603:0.906374:0.000000:0.000000:0.000000
( ) ( ) ():@0.091822:0.886370:0.220365:0.886370:0.220365:0.865393:0.091822:0.865393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.481974:0.886370:0.512037:0.886370:0.512037:0.865393:0.481974:0.865393:0.000000:0.000000
( ):@0.538036:0.886370:0.570746:0.886370:0.570746:0.865393:0.538036:0.865393:0.000000:0.000000:0.000000
=−:@0.055647:0.836805:0.091171:0.836805:0.091171:0.821267:0.055647:0.821267:0.000000:0.000000
−:@0.135594:0.825821:0.145688:0.825821:0.145688:0.810282:0.135594:0.810282:0.000000
⋅:@0.165620:0.825821:0.170216:0.825821:0.170216:0.810282:0.165620:0.810282:0.000000
−=:@0.053110:0.884042:0.088744:0.884042:0.088744:0.868503:0.053110:0.868503:0.000000:0.000000
−:@0.129048:0.884042:0.139143:0.884042:0.139143:0.868503:0.129048:0.868503:0.000000
=:@0.177112:0.884042:0.187206:0.884042:0.187206:0.868503:0.177112:0.868503:0.000000
−:@0.252663:0.884042:0.262758:0.884042:0.262758:0.868503:0.252663:0.868503:0.000000
⋅ =:@0.282689:0.884042:0.313469:0.884042:0.313469:0.868503:0.282689:0.868503:0.000000:0.000000:0.000000
=:@0.373374:0.884042:0.383468:0.884042:0.383468:0.868503:0.373374:0.868503:0.000000
=:@0.468785:0.884053:0.478879:0.884053:0.478879:0.868515:0.468785:0.868515:0.000000
−:@0.513796:0.884053:0.523891:0.884053:0.523891:0.868515:0.513796:0.868515:0.000000
=−:@0.573609:0.884053:0.607146:0.884053:0.607146:0.868515:0.573609:0.868515:0.000000:0.000000
=:@0.141487:0.927028:0.151581:0.927028:0.151581:0.911489:0.141487:0.911489:0.000000
=:@0.182765:0.927028:0.192860:0.927028:0.192860:0.911489:0.182765:0.911489:0.000000
Dx B:@0.041259:0.836308:0.102341:0.836308:0.102341:0.820590:0.041259:0.820590:0.000000:0.000000:0.000000:0.000000
xB A:@0.124846:0.825324:0.183078:0.825324:0.183078:0.809606:0.124846:0.809606:0.000000:0.000000:0.000000:0.000000
A:@0.140751:0.849984:0.151508:0.849984:0.151508:0.834266:0.140751:0.834266:0.000000
A:@0.186810:0.836294:0.197567:0.836294:0.197567:0.820576:0.186810:0.820576:0.000000
xB:@0.042363:0.883545:0.074374:0.883545:0.074374:0.867827:0.042363:0.867827:0.000000:0.000000
xB A:@0.241916:0.883545:0.300147:0.883545:0.300147:0.867827:0.241916:0.867827:0.000000:0.000000:0.000000:0.000000
A:@0.344644:0.883545:0.355400:0.883545:0.355400:0.867827:0.344644:0.867827:0.000000
D:@0.454395:0.883556:0.465500:0.883556:0.465500:0.867839:0.454395:0.867839:0.000000
D:@0.121700:0.926531:0.132806:0.926531:0.132806:0.910813:0.121700:0.910813:0.000000
d xL AB:@0.196756:0.926531:0.268924:0.926531:0.268924:0.910813:0.196756:0.910813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199644:0.283205:0.297267:0.283205:0.297267:0.267733:0.199644:0.267733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.295773:0.283707:0.295773:0.283707:0.280301:0.199644:0.280301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.201901:0.332061:0.212717:0.332061:0.212717:0.315490:0.201901:0.315490:0.000000
tAt:@0.240166:0.332061:0.268953:0.332061:0.268953:0.315490:0.240166:0.315490:0.000000:0.000000:0.000000
u:@0.247333:0.318914:0.258014:0.318914:0.258014:0.302460:0.247333:0.302460:0.000000
r:@0.250163:0.318914:0.256502:0.318914:0.256502:0.302460:0.250163:0.302460:0.000000
{:@0.230978:0.338728:0.240283:0.338728:0.240283:0.308913:0.230978:0.308913:0.000000
}:@0.300686:0.338728:0.309991:0.338728:0.309991:0.308913:0.300686:0.308913:0.000000
=:@0.217248:0.332585:0.227890:0.332585:0.227890:0.316203:0.217248:0.316203:0.000000
∈:@0.272533:0.332585:0.286355:0.332585:0.286355:0.316203:0.272533:0.316203:0.000000
:@0.286256:0.335204:0.300252:0.335204:0.300252:0.313410:0.286256:0.313410:0.000000
 es el :@0.312959:0.331519:0.348104:0.331519:0.348104:0.316456:0.312959:0.316456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto que representa a una :@0.153347:0.350926:0.356563:0.350926:0.356563:0.335863:0.153347:0.335863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta que pasa por el origen y es :@0.153347:0.366768:0.365268:0.366768:0.365268:0.351705:0.153347:0.351705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paralela a  .:@0.153347:0.384353:0.233773:0.384347:0.233773:0.369284:0.153347:0.369289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.218670:0.385081:0.228965:0.385081:0.228965:0.370037:0.218670:0.370037:0.000000
A:@0.158075:0.404968:0.168370:0.404968:0.168370:0.389924:0.158075:0.389924:0.000000
 es el vector generador de la :@0.169490:0.405490:0.354621:0.405490:0.354621:0.390427:0.169490:0.390427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta.:@0.153342:0.421332:0.189015:0.421332:0.189015:0.406269:0.153342:0.406269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L A:@0.153342:0.441320:0.177595:0.441952:0.177595:0.426909:0.153342:0.426283:0.000000:0.000000:0.000000
( ) =   es la recta que pasa :@0.160501:0.441214:0.345120:0.441219:0.345120:0.426156:0.160501:0.426151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.202045:0.441325:0.211860:0.441325:0.211860:0.426288:0.202045:0.426288:0.000000
por el origen y está generado :@0.153338:0.457061:0.344645:0.457061:0.344645:0.441998:0.153338:0.441998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por :@0.153338:0.473378:0.180216:0.473378:0.180216:0.458315:0.153338:0.458315:0.000000:0.000000:0.000000:0.000000
A:@0.184951:0.474117:0.195246:0.474117:0.195246:0.459073:0.184951:0.459073:0.000000
.:@0.199214:0.473383:0.201729:0.473383:0.201729:0.458320:0.199214:0.458320:0.000000
,:@0.183262:0.496657:0.185849:0.496657:0.185849:0.481163:0.183262:0.481163:0.000000
LA B:@0.155598:0.496765:0.200794:0.496765:0.200794:0.481299:0.155598:0.481299:0.000000:0.000000:0.000000:0.000000
urr:@0.171296:0.484496:0.198652:0.484496:0.198652:0.469138:0.171296:0.469138:0.000000:0.000000:0.000000
( ):@0.163851:0.502846:0.207527:0.502846:0.207527:0.475019:0.163851:0.475019:0.000000:0.000000:0.000000
 es la recta que pasa :@0.208190:0.496348:0.341448:0.496348:0.341448:0.481285:0.208190:0.481285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por   y es paralela a la recta  :@0.153344:0.517616:0.343457:0.517609:0.343457:0.502546:0.153344:0.502553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.173675:0.517919:0.176262:0.517919:0.176262:0.502425:0.173675:0.502425:0.000000
LA B:@0.146011:0.518027:0.191206:0.518027:0.191206:0.502561:0.146011:0.502561:0.000000:0.000000:0.000000:0.000000
urr:@0.161697:0.505752:0.189053:0.505752:0.189053:0.490394:0.161697:0.490394:0.000000:0.000000:0.000000
( ):@0.154264:0.524109:0.197939:0.524109:0.197939:0.496281:0.154264:0.496281:0.000000:0.000000:0.000000
L( ).:@0.153346:0.535193:0.185244:0.535188:0.185244:0.520125:0.153346:0.520130:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.167470:0.535922:0.177765:0.535922:0.177765:0.520878:0.167470:0.520878:0.000000