﻿Competencia digital:@0.302062:0.094445:0.685248:0.094445:0.685248:0.027456:0.302062:0.027456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
67:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Ecuación de la recta en  , dados un punto  :@0.143445:0.139405:0.633816:0.139405:0.633816:0.100700:0.143445:0.100700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.398859:0.137672:0.430306:0.137672:0.430306:0.107270:0.398859:0.107270:0.000000
3:@0.430316:0.125234:0.437426:0.125234:0.437426:0.102669:0.430316:0.102669:0.000000
y un vector director :@0.143460:0.178632:0.366729:0.178632:0.366729:0.139928:0.143460:0.139928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vamos a usar el programa GeoGebra para determinar la ecuación de la recta :@0.143445:0.201569:0.669755:0.201569:0.669755:0.185789:0.143445:0.185789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el espacio.:@0.143445:0.218166:0.232688:0.218166:0.232688:0.202385:0.143445:0.202385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Geogebra:@0.905778:0.462594:0.905778:0.435210:0.894309:0.435210:0.894309:0.462594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.143445:0.533049:0.161638:0.533049:0.161638:0.515366:0.143445:0.515366:0.000000:0.000000:0.000000
Abre :@0.164406:0.532688:0.204135:0.532688:0.204135:0.516479:0.164406:0.516479:0.000000:0.000000:0.000000:0.000000:0.000000
el programa GeoGebra, :@0.206679:0.532246:0.375361:0.532246:0.375361:0.516465:0.206679:0.516465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da:@0.143453:0.549285:0.161641:0.549285:0.161641:0.533076:0.143453:0.533076:0.000000:0.000000
 clic en :@0.161641:0.548842:0.212981:0.548842:0.212981:0.533062:0.161641:0.533062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vista :@0.213128:0.548953:0.250426:0.548953:0.250426:0.533200:0.213128:0.533200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.250536:0.548842:0.261980:0.548842:0.261980:0.533062:0.250536:0.533062:0.000000:0.000000
selecciona:@0.262127:0.549285:0.337808:0.549285:0.337808:0.533076:0.262127:0.533076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.337810:0.548842:0.341772:0.548842:0.341772:0.533062:0.337810:0.533062:0.000000
Grá-:@0.341919:0.548953:0.371403:0.548953:0.371403:0.533200:0.341919:0.533200:0.000000:0.000000:0.000000:0.000000
ficas 3D Vista Gráfica 2.:@0.143472:0.565549:0.311163:0.565549:0.311163:0.549796:0.143472:0.549796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.195696:0.565438:0.211101:0.565438:0.211101:0.549658:0.195696:0.549658:0.000000:0.000000:0.000000
2. :@0.143445:0.592267:0.161638:0.592267:0.161638:0.574584:0.143445:0.574584:0.000000:0.000000:0.000000
En la barra de :@0.162429:0.591463:0.260932:0.591463:0.260932:0.575683:0.162429:0.575683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entrada:@0.261687:0.591574:0.314519:0.591574:0.314519:0.575821:0.261687:0.575821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.314512:0.591463:0.318474:0.591463:0.318474:0.575683:0.314512:0.575683:0.000000
escribe :@0.319211:0.591906:0.375229:0.591906:0.375229:0.575697:0.319211:0.575697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el punto   = (1, 2, 4), luego :@0.143448:0.608060:0.331042:0.608060:0.331042:0.592279:0.143448:0.592279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.205568:0.608170:0.213971:0.608170:0.213971:0.592418:0.205568:0.592418:0.000000
escri-:@0.331373:0.608502:0.371378:0.608502:0.371378:0.592293:0.331373:0.592293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
be:@0.143448:0.625099:0.161452:0.625099:0.161452:0.608889:0.143448:0.608889:0.000000:0.000000
 el vector   = (2, 1, 3). En :@0.161452:0.624656:0.337305:0.624656:0.337305:0.608876:0.161452:0.608876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.230241:0.624767:0.239049:0.624767:0.239049:0.609014:0.230241:0.609014:0.000000
Vista :@0.337987:0.624767:0.375285:0.624767:0.375285:0.609014:0.337987:0.609014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Algebraica:@0.143448:0.641363:0.213510:0.641363:0.213510:0.625610:0.143448:0.625610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 aparecerán las coorde-:@0.213510:0.641252:0.371380:0.641252:0.371380:0.625472:0.213510:0.625472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nadas del punto y en :@0.143448:0.657849:0.299751:0.657849:0.299751:0.642068:0.143448:0.642068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vista Grá-:@0.302184:0.657959:0.371380:0.657959:0.371380:0.642207:0.302184:0.642207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fica 3D:@0.143448:0.674556:0.191121:0.674556:0.191121:0.658803:0.143448:0.658803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se observan el punto y el :@0.191121:0.674445:0.375340:0.674445:0.375340:0.658665:0.191121:0.658665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector.:@0.143448:0.691042:0.188688:0.691042:0.188688:0.675261:0.143448:0.675261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.143445:0.717869:0.161638:0.717869:0.161638:0.700186:0.143445:0.700186:0.000000:0.000000:0.000000
Da clic en :@0.163823:0.717065:0.238342:0.717065:0.238342:0.701285:0.163823:0.701285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vista Gráfica 2,:@0.240406:0.717176:0.344596:0.717176:0.344596:0.701423:0.240406:0.701423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.344596:0.717065:0.348558:0.717065:0.348558:0.701285:0.344596:0.701285:0.000000
se-:@0.350605:0.717508:0.371391:0.717508:0.371391:0.701299:0.350605:0.701299:0.000000:0.000000:0.000000
lecciona:@0.143460:0.734104:0.204214:0.734104:0.204214:0.717895:0.143460:0.717895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.204216:0.733662:0.208178:0.733662:0.208178:0.717881:0.204216:0.717881:0.000000
Deslizadores,:@0.208768:0.733772:0.293350:0.733772:0.293350:0.718019:0.208768:0.718019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293350:0.733662:0.297312:0.733662:0.297312:0.717881:0.293350:0.717881:0.000000
escribe:@0.297902:0.734104:0.350069:0.734104:0.350069:0.717895:0.297902:0.717895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en :@0.350071:0.733662:0.375372:0.733662:0.375372:0.717881:0.350071:0.717881:0.000000:0.000000:0.000000:0.000000
Nombre:@0.143478:0.750369:0.198559:0.750369:0.198559:0.734616:0.143478:0.734616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lamda  , en :@0.198559:0.750258:0.289425:0.750258:0.289425:0.734478:0.198559:0.734478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.250856:0.749774:0.260973:0.749774:0.260973:0.732832:0.250856:0.732832:0.000000
Intervalo :@0.290531:0.750369:0.353238:0.750369:0.353238:0.734616:0.290531:0.734616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de :@0.354327:0.750258:0.375372:0.750258:0.375372:0.734478:0.354327:0.734478:0.000000:0.000000:0.000000
–5 a 5, :@0.143478:0.766854:0.192828:0.766854:0.192828:0.751074:0.143478:0.751074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Incremento:@0.193344:0.766965:0.268600:0.766965:0.268600:0.751212:0.193344:0.751212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0,1; en :@0.268602:0.766854:0.319831:0.766854:0.319831:0.751074:0.268602:0.751074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desliza-:@0.320347:0.766965:0.371428:0.766965:0.371428:0.751212:0.320347:0.751212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dor :@0.143497:0.783561:0.170162:0.783561:0.170162:0.767809:0.143497:0.767809:0.000000:0.000000:0.000000:0.000000
vertical y ancho, 300. Aparece :@0.170254:0.783451:0.375399:0.783451:0.375399:0.767670:0.170254:0.767670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el deslizador en :@0.143497:0.800047:0.252218:0.800047:0.252218:0.784267:0.143497:0.784267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vista Gráfica 2.:@0.252218:0.800158:0.352280:0.800158:0.352280:0.784405:0.252218:0.784405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.143445:0.826875:0.161638:0.826875:0.161638:0.809193:0.143445:0.809193:0.000000:0.000000:0.000000
En la barra de :@0.162429:0.826072:0.260932:0.826072:0.260932:0.810292:0.162429:0.810292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entrada:@0.261687:0.826183:0.314519:0.826183:0.314519:0.810430:0.261687:0.810430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.314512:0.826072:0.318474:0.826072:0.318474:0.810292:0.314512:0.810292:0.000000
escribe :@0.319211:0.826514:0.375229:0.826514:0.375229:0.810305:0.319211:0.810305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v = u* v. :@0.143448:0.842779:0.203327:0.842779:0.203327:0.827026:0.143448:0.827026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De esta manera vinculas :@0.204212:0.842668:0.375356:0.842668:0.375356:0.826888:0.204212:0.826888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el gráfico con el deslizador. Si lo :@0.143448:0.859265:0.375384:0.859265:0.375384:0.843484:0.143448:0.843484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mueves a este, puedes observar :@0.143448:0.875861:0.375320:0.875861:0.375320:0.860081:0.143448:0.860081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los cambios en el vector.:@0.143448:0.892457:0.308704:0.892457:0.308704:0.876677:0.143448:0.876677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. :@0.447821:0.533049:0.466014:0.533049:0.466014:0.515366:0.447821:0.515366:0.000000:0.000000:0.000000
Con la herramienta:@0.465997:0.532246:0.597313:0.532246:0.597313:0.516465:0.465997:0.516465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Vector equipolente,:@0.597313:0.532356:0.727852:0.532356:0.727852:0.516604:0.597313:0.516604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   clic sobre el vector   :@0.727854:0.532246:0.895765:0.532246:0.895765:0.516465:0.727854:0.516465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da:@0.731797:0.532688:0.749986:0.532688:0.749986:0.516479:0.731797:0.516479:0.000000:0.000000
v:@0.884358:0.532356:0.891803:0.532356:0.891803:0.516604:0.884358:0.516604:0.000000
y el punto  . Aparecerá el vector equipolente.:@0.447809:0.550350:0.756524:0.550350:0.756524:0.534569:0.447809:0.534569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.520709:0.550460:0.529112:0.550460:0.529112:0.534707:0.520709:0.534707:0.000000
7. :@0.447821:0.664135:0.466014:0.664135:0.466014:0.646453:0.447821:0.646453:0.000000:0.000000:0.000000
Selecciona:@0.465676:0.663774:0.543088:0.663774:0.543088:0.647565:0.465676:0.647565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.543090:0.663332:0.547052:0.663332:0.547052:0.647552:0.543090:0.647552:0.000000
Recta paralela, :@0.546739:0.663443:0.647223:0.663443:0.647223:0.647690:0.546739:0.647690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da:@0.646910:0.663774:0.665098:0.663774:0.665098:0.647565:0.646910:0.647565:0.000000:0.000000
 clic sobre el vector   y el punto   :@0.665081:0.663332:0.895795:0.663332:0.895795:0.647552:0.665081:0.647552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.797979:0.663443:0.806788:0.663443:0.806788:0.647690:0.797979:0.647690:0.000000
P.:@0.882396:0.663443:0.891887:0.663443:0.891887:0.647690:0.882396:0.647690:0.000000:0.000000
En :@0.447819:0.679928:0.468845:0.679928:0.468845:0.664148:0.447819:0.664148:0.000000:0.000000:0.000000
Vista Gráfica 3D:@0.469287:0.680039:0.578635:0.680039:0.578635:0.664286:0.469287:0.664286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 aparece la recta y en :@0.578635:0.679928:0.726736:0.679928:0.726736:0.664148:0.578635:0.664148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vista Algebraica:@0.727179:0.680039:0.834978:0.680039:0.834978:0.664286:0.727179:0.664286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 aparece :@0.835021:0.679928:0.895777:0.679928:0.895777:0.664148:0.835021:0.664148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ecuación de la recta en la forma:@0.447819:0.696525:0.679377:0.696525:0.679377:0.680744:0.447819:0.680744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.451590:0.715134:0.459390:0.715134:0.459390:0.697949:0.451590:0.697949:0.000000
= +:@0.463578:0.714983:0.508744:0.714983:0.508744:0.696833:0.463578:0.696833:0.000000:0.000000:0.000000
P:@0.481902:0.715134:0.491069:0.715134:0.491069:0.697949:0.481902:0.697949:0.000000
u:@0.522369:0.715134:0.531978:0.715134:0.531978:0.697949:0.522369:0.697949:0.000000
x:@0.451590:0.738865:0.459390:0.738865:0.459390:0.721681:0.451590:0.721681:0.000000
=:@0.463571:0.738715:0.479212:0.738715:0.479212:0.720564:0.463571:0.720564:0.000000
1,2,4:@0.487655:0.738745:0.523418:0.738745:0.523418:0.721530:0.487655:0.721530:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.480646:0.740226:0.488466:0.740226:0.488466:0.718627:0.480646:0.718627:0.000000
):@0.523686:0.740226:0.531506:0.740226:0.531506:0.718627:0.523686:0.718627:0.000000
+:@0.531950:0.738715:0.547590:0.738715:0.547590:0.720564:0.531950:0.720564:0.000000
2,1,3:@0.569589:0.738745:0.604106:0.738745:0.604106:0.721530:0.569589:0.721530:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.561737:0.740226:0.569557:0.740226:0.569557:0.718627:0.561737:0.718627:0.000000
):@0.603933:0.740226:0.611753:0.740226:0.611753:0.718627:0.603933:0.718627:0.000000
, que corresponde a: :@0.534880:0.714109:0.675389:0.714109:0.675389:0.698329:0.534880:0.698329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.589667:0.711328:0.597467:0.711328:0.597467:0.694143:0.589667:0.694143:0.000000
= +:@0.601656:0.711177:0.646823:0.711177:0.646823:0.693027:0.601656:0.693027:0.000000:0.000000:0.000000
P:@0.619979:0.711328:0.629145:0.711328:0.629145:0.694143:0.619979:0.694143:0.000000
u:@0.660446:0.711328:0.670055:0.711328:0.670055:0.694143:0.660446:0.694143:0.000000
x:@0.589667:0.735060:0.597467:0.735060:0.597467:0.717875:0.589667:0.717875:0.000000
=:@0.601648:0.734909:0.617288:0.734909:0.617288:0.716758:0.601648:0.716758:0.000000
1,2,4:@0.625731:0.734939:0.661494:0.734939:0.661494:0.717724:0.625731:0.717724:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.618722:0.736420:0.626542:0.736420:0.626542:0.714821:0.618722:0.714821:0.000000
):@0.661762:0.736420:0.669582:0.736420:0.669582:0.714821:0.661762:0.714821:0.000000
+:@0.670026:0.734909:0.685666:0.734909:0.685666:0.716758:0.670026:0.716758:0.000000
2,1,3:@0.707667:0.734939:0.742184:0.734939:0.742184:0.717724:0.707667:0.717724:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.699814:0.736420:0.707634:0.736420:0.707634:0.714821:0.699814:0.714821:0.000000
):@0.742010:0.736420:0.749830:0.736420:0.749830:0.714821:0.742010:0.714821:0.000000
.:@0.751113:0.736801:0.753748:0.736801:0.753748:0.721021:0.751113:0.721021:0.000000
6. :@0.447821:0.593567:0.466014:0.593567:0.466014:0.575884:0.447821:0.575884:0.000000:0.000000:0.000000
Activa:@0.466369:0.593206:0.513636:0.593206:0.513636:0.576997:0.466369:0.576997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.513636:0.592763:0.517598:0.592763:0.517598:0.576983:0.513636:0.576983:0.000000
Rastro:@0.517930:0.592971:0.563225:0.592971:0.563225:0.576983:0.517930:0.576983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.563225:0.592874:0.567187:0.592874:0.567187:0.577121:0.563225:0.577121:0.000000
para el punto   :@0.567518:0.592763:0.679743:0.592763:0.679743:0.576983:0.567518:0.576983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P’,:@0.663803:0.592874:0.675762:0.592874:0.675762:0.577121:0.663803:0.577121:0.000000:0.000000:0.000000
mueve:@0.680074:0.593206:0.729442:0.593206:0.729442:0.576997:0.680074:0.576997:0.000000:0.000000:0.000000:0.000000:0.000000
 el deslizador y :@0.729442:0.592763:0.833816:0.592763:0.833816:0.576983:0.729442:0.576983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observa:@0.834148:0.593206:0.891806:0.593206:0.891806:0.576997:0.834148:0.576997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891826:0.592763:0.895788:0.592763:0.895788:0.576983:0.891826:0.576983:0.000000
las diferentes posiciones del punto. Para desactivar el rastro en :@0.447813:0.609360:0.868075:0.609360:0.868075:0.593579:0.447813:0.593579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vis-:@0.867596:0.609470:0.891826:0.609470:0.891826:0.593718:0.867596:0.593718:0.000000:0.000000:0.000000:0.000000
ta, :@0.447813:0.626067:0.468193:0.626067:0.468193:0.610314:0.447813:0.610314:0.000000:0.000000:0.000000:0.000000
da :@0.468193:0.626399:0.490233:0.626399:0.490233:0.610190:0.468193:0.610190:0.000000:0.000000:0.000000
clic en :@0.490233:0.625956:0.537316:0.625956:0.537316:0.610176:0.490233:0.610176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actualiza las Vistas Limpiar rastro.:@0.537316:0.626067:0.776081:0.626067:0.776081:0.610314:0.537316:0.610314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.664448:0.625956:0.679853:0.625956:0.679853:0.610176:0.664448:0.610176:0.000000:0.000000:0.000000
 :@0.776082:0.626399:0.779934:0.626399:0.779934:0.610190:0.776082:0.610190:0.000000
8. :@0.447821:0.763741:0.466014:0.763741:0.466014:0.746059:0.447821:0.746059:0.000000:0.000000:0.000000
Verifica:@0.474129:0.763380:0.530221:0.763380:0.530221:0.747171:0.474129:0.747171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si el punto  :@0.530223:0.762938:0.632183:0.762938:0.632183:0.747157:0.530223:0.747157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A :@0.447833:0.779645:0.462575:0.779645:0.462575:0.763892:0.447833:0.763892:0.000000:0.000000
= (4, 5, –2) corresponde :@0.463072:0.779534:0.632162:0.779534:0.632162:0.763754:0.463072:0.763754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la recta. En el gráfico se :@0.447833:0.796131:0.632146:0.796131:0.632146:0.780350:0.447833:0.780350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aprecia que no es parte de :@0.447833:0.812727:0.632190:0.812727:0.632190:0.796947:0.447833:0.796947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esta recta.:@0.447833:0.829323:0.516348:0.829323:0.516348:0.813543:0.447833:0.813543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.720476:0.776409:0.787941:0.776409:0.787941:0.758726:0.720476:0.758726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equipolente::@0.720714:0.803222:0.803264:0.803222:0.803264:0.787961:0.720714:0.787961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 dicho de :@0.803088:0.803024:0.866358:0.803024:0.866358:0.787961:0.803088:0.787961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un vector: que es paralelo a otro :@0.674171:0.818866:0.881358:0.818866:0.881358:0.803803:0.674171:0.803803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y de igual magnitud y sentido.:@0.674171:0.834708:0.862750:0.834708:0.862750:0.819645:0.674171:0.819645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rastro: :@0.674171:0.850748:0.718603:0.850748:0.718603:0.835487:0.674171:0.835487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
señal, huella que queda :@0.718339:0.850550:0.867061:0.850550:0.867061:0.835487:0.718339:0.835487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de algo.:@0.674171:0.866392:0.721504:0.866392:0.721504:0.851329:0.674171:0.851329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.667742:0.780140:0.679147:0.778631:0.673944:0.756486:0.662539:0.757995:0.000000
c:@0.671124:0.791109:0.681723:0.789707:0.676640:0.768072:0.666041:0.769475:0.000000
b:@0.681499:0.783892:0.694213:0.782209:0.689081:0.760367:0.676367:0.762049:0.000000
Practica:@0.457318:0.858655:0.517390:0.858655:0.517390:0.842446:0.457318:0.842446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 esta actividad :@0.517392:0.858212:0.622098:0.858212:0.622098:0.842432:0.517392:0.842432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambiando  el  vector  y :@0.457318:0.874809:0.622103:0.874809:0.622103:0.859028:0.457318:0.859028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el punto.:@0.457318:0.891405:0.517263:0.891405:0.517263:0.875625:0.457318:0.875625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adaptado de: https://www.youtube.com/watch?v=NTAIau7FGyc:@0.568912:0.915392:0.891826:0.915392:0.891826:0.903915:0.568912:0.903915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Incluimos en esta sección uno o varios URL de sitios web que, en su momento, estaban en pleno funcionamiento; sin embargo, estos podrían haberse eliminado :@0.110744:0.939122:0.828489:0.939122:0.828489:0.928948:0.110744:0.928948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o cambiado por decisión de los creadores de esos portales. Si tienes algún problema, reporta a: coordinacion@mayaeducacion.com:@0.110744:0.949683:0.698173:0.949683:0.698173:0.939509:0.110744:0.939509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000