﻿101:@0.917174:0.510692:0.945535:0.510692:0.945535:0.494068:0.917174:0.494068:0.000000:0.000000:0.000000
1. :@0.120121:0.170428:0.138861:0.170428:0.138861:0.153293:0.120121:0.153293:0.000000:0.000000:0.000000
Representa determina:@0.153364:0.170428:0.336774:0.170428:0.336774:0.153804:0.153364:0.153804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.239624:0.170428:0.256485:0.170428:0.256485:0.154039:0.239624:0.154039:0.000000:0.000000:0.000000
 la ecuación paramé-:@0.336756:0.170428:0.492322:0.170428:0.492322:0.154039:0.336756:0.154039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trica de la recta L que pasa por el extremo del :@0.153364:0.187025:0.496367:0.187025:0.496367:0.170636:0.153364:0.170636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector   y es paralela al vector generador  , :@0.153364:0.207397:0.496358:0.207393:0.496358:0.191004:0.153364:0.191008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.207627:0.206136:0.216951:0.206136:0.216951:0.189774:0.207627:0.189774:0.000000
:@0.208567:0.194989:0.216122:0.194989:0.216122:0.178240:0.208567:0.178240:0.000000
v:@0.476466:0.206136:0.484205:0.206136:0.484205:0.189774:0.476466:0.189774:0.000000
:@0.477406:0.194989:0.484961:0.194989:0.484961:0.178240:0.477406:0.178240:0.000000
en cada caso::@0.153364:0.223989:0.251473:0.223989:0.251473:0.207601:0.153364:0.207601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153364:0.252784:0.172086:0.252784:0.172086:0.235883:0.153364:0.235883:0.000000:0.000000:0.000000
( ):@0.214140:0.256343:0.245301:0.256343:0.245301:0.236410:0.214140:0.236410:0.000000:0.000000:0.000000
( ):@0.275449:0.256343:0.311217:0.256343:0.311217:0.236410:0.275449:0.236410:0.000000:0.000000:0.000000
=:@0.201470:0.253888:0.211587:0.253888:0.211587:0.238315:0.201470:0.238315:0.000000
=:@0.262779:0.253888:0.272896:0.253888:0.272896:0.238315:0.262779:0.238315:0.000000
5,1,:@0.220580:0.253210:0.249953:0.253210:0.249953:0.236821:0.220580:0.236821:0.000000:0.000000:0.000000:0.000000
3,6:@0.281888:0.253210:0.304536:0.253210:0.304536:0.236821:0.281888:0.236821:0.000000:0.000000:0.000000
u:@0.189216:0.253210:0.198540:0.253210:0.198540:0.236849:0.189216:0.236849:0.000000
v:@0.250893:0.253210:0.258633:0.253210:0.258633:0.236849:0.250893:0.236849:0.000000
:@0.190162:0.242059:0.136040:0.242059:0.136040:0.225311:0.190162:0.225311:0.000000
:@0.251840:0.242059:0.197718:0.242059:0.197718:0.225311:0.251840:0.225311:0.000000
 :@0.153362:0.465879:0.155296:0.465879:0.155296:0.456341:0.153362:0.456341:0.000000
b) :@0.153362:0.498178:0.173393:0.498178:0.173393:0.481277:0.153362:0.481277:0.000000:0.000000:0.000000
(:@0.214140:0.501311:0.220276:0.501311:0.220276:0.481378:0.214140:0.481378:0.000000
):@0.248747:0.501311:0.254884:0.501311:0.254884:0.481378:0.248747:0.481378:0.000000
(:@0.285031:0.501311:0.291168:0.501311:0.291168:0.481378:0.285031:0.481378:0.000000
):@0.323084:0.501311:0.329221:0.501311:0.329221:0.481378:0.323084:0.481378:0.000000
=:@0.201470:0.498856:0.211587:0.498856:0.211587:0.483283:0.201470:0.483283:0.000000
=:@0.272361:0.498856:0.282478:0.498856:0.282478:0.483283:0.272361:0.483283:0.000000
–5,1 ,:@0.220945:0.498178:0.259541:0.498178:0.259541:0.481789:0.220945:0.481789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3,5:@0.291826:0.498178:0.323341:0.498178:0.323341:0.481789:0.291826:0.481789:0.000000:0.000000:0.000000:0.000000
u:@0.189224:0.498178:0.198549:0.498178:0.198549:0.481817:0.189224:0.481817:0.000000
v:@0.260484:0.498178:0.268223:0.498178:0.268223:0.481817:0.260484:0.481817:0.000000
:@0.190162:0.487027:0.126458:0.487027:0.126458:0.470278:0.190162:0.470278:0.000000
:@0.261422:0.487027:0.197718:0.487027:0.197718:0.470278:0.261422:0.470278:0.000000
 :@0.153362:0.688818:0.155296:0.688818:0.155296:0.679279:0.153362:0.679279:0.000000
c) :@0.153362:0.718602:0.170998:0.718602:0.170998:0.701701:0.153362:0.701701:0.000000:0.000000:0.000000
(:@0.214140:0.720900:0.220276:0.720900:0.220276:0.700966:0.214140:0.700966:0.000000
):@0.261775:0.720900:0.267912:0.720900:0.267912:0.700966:0.261775:0.700966:0.000000
(:@0.298059:0.720900:0.304196:0.720900:0.304196:0.700966:0.298059:0.700966:0.000000
):@0.346911:0.720900:0.353048:0.720900:0.353048:0.700966:0.346911:0.700966:0.000000
=:@0.201470:0.718446:0.211587:0.718446:0.211587:0.702873:0.201470:0.702873:0.000000
=:@0.285390:0.718446:0.295506:0.718446:0.295506:0.702873:0.285390:0.702873:0.000000
–3,–5,:@0.220945:0.717768:0.272561:0.717768:0.272561:0.701379:0.220945:0.701379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–7,–2:@0.304864:0.717768:0.346732:0.717768:0.346732:0.701379:0.304864:0.701379:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.189221:0.717768:0.198545:0.717768:0.198545:0.701407:0.189221:0.701407:0.000000
v:@0.273509:0.717768:0.281248:0.717768:0.281248:0.701407:0.273509:0.701407:0.000000
:@0.190161:0.706621:0.113428:0.706621:0.113428:0.689872:0.190161:0.689872:0.000000
:@0.274449:0.706621:0.197716:0.706621:0.197716:0.689872:0.274449:0.689872:0.000000
 :@0.153362:0.931694:0.155296:0.931694:0.155296:0.922155:0.153362:0.922155:0.000000
Taller:@0.180758:0.129523:0.241652:0.129523:0.241652:0.095576:0.180758:0.095576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina la ecuación de la recta en forma paramétrica. (Ref. I.M.5.6.3.):@0.261777:0.117549:0.590200:0.117549:0.590200:0.107120:0.261777:0.107120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.545667:0.178771:0.565734:0.178771:0.565734:0.161870:0.545667:0.161870:0.000000:0.000000:0.000000
(:@0.606444:0.180645:0.612581:0.180645:0.612581:0.160712:0.606444:0.160712:0.000000
):@0.642194:0.180645:0.648330:0.180645:0.648330:0.160712:0.642194:0.160712:0.000000
(:@0.678480:0.180645:0.684616:0.180645:0.684616:0.160712:0.678480:0.160712:0.000000
):@0.714229:0.180645:0.720366:0.180645:0.720366:0.160712:0.714229:0.160712:0.000000
=:@0.593774:0.178191:0.603891:0.178191:0.603891:0.162618:0.593774:0.162618:0.000000
=:@0.665808:0.178191:0.675925:0.178191:0.675925:0.162618:0.665808:0.162618:0.000000
1,–4 ,:@0.611731:0.177513:0.652998:0.177513:0.652998:0.161124:0.611731:0.161124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5,–1:@0.684914:0.177513:0.716787:0.177513:0.716787:0.161124:0.684914:0.161124:0.000000:0.000000:0.000000:0.000000
u:@0.581525:0.177513:0.590850:0.177513:0.590850:0.161152:0.581525:0.161152:0.000000
v:@0.653927:0.177513:0.661667:0.177513:0.661667:0.161152:0.653927:0.161152:0.000000
:@0.582465:0.166366:0.517618:0.166366:0.517618:0.149618:0.582465:0.149618:0.000000
:@0.654867:0.166366:0.590020:0.166366:0.590020:0.149618:0.654867:0.149618:0.000000
 :@0.545667:0.369409:0.547600:0.369409:0.547600:0.359871:0.545667:0.359871:0.000000
2. :@0.512353:0.397846:0.531094:0.397846:0.531094:0.380711:0.512353:0.380711:0.000000:0.000000:0.000000
Los vértices de un cuadrilátero son los puntos :@0.545596:0.397846:0.888754:0.397846:0.888754:0.381458:0.545596:0.381458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.545596:0.414443:0.555492:0.414443:0.555492:0.398082:0.545596:0.398082:0.000000
(1, 1),  (–3, 2),  (–1, –1),  (3, –2). :@0.555492:0.414443:0.797391:0.414443:0.797391:0.398054:0.555492:0.398054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.599387:0.414443:0.608232:0.414443:0.608232:0.398082:0.599387:0.398082:0.000000
C:@0.661340:0.414443:0.671254:0.414443:0.671254:0.398082:0.661340:0.398082:0.000000
D:@0.733577:0.414443:0.745112:0.414443:0.745112:0.398082:0.733577:0.398082:0.000000
Representa:@0.798221:0.414443:0.884663:0.414443:0.884663:0.397819:0.798221:0.397819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.884663:0.414443:0.888699:0.414443:0.888699:0.398054:0.884663:0.398054:0.000000
gráficamente y :@0.545596:0.431039:0.659956:0.431039:0.659956:0.414650:0.545596:0.414650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtén:@0.660528:0.431039:0.706578:0.431039:0.706578:0.414415:0.660528:0.414415:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones paramé-:@0.706578:0.431039:0.884720:0.431039:0.884720:0.414650:0.706578:0.414650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tricas de las rectas que pasan por los lados del :@0.545596:0.447636:0.888756:0.447636:0.888756:0.431247:0.545596:0.431247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrilátero.:@0.545596:0.464232:0.636111:0.464232:0.636111:0.447843:0.545596:0.447843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512353:0.725321:0.516075:0.725321:0.516075:0.708185:0.512353:0.708185:0.000000
3. :@0.512425:0.751026:0.531166:0.751026:0.531166:0.733890:0.512425:0.733890:0.000000:0.000000:0.000000
Resuelve :@0.545668:0.751026:0.617737:0.751026:0.617737:0.734402:0.545668:0.734402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en tu cuaderno, :@0.618181:0.751026:0.738937:0.751026:0.738937:0.734637:0.618181:0.734637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representa obtén:@0.739380:0.751026:0.884792:0.751026:0.884792:0.734402:0.739380:0.734402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.821677:0.751026:0.838299:0.751026:0.838299:0.734637:0.821677:0.734637:0.000000:0.000000:0.000000
 :@0.884792:0.751026:0.888828:0.751026:0.888828:0.734637:0.884792:0.734637:0.000000
las ecuaciones paramétricas de las rectas que :@0.545687:0.767622:0.888863:0.767622:0.888863:0.751234:0.545687:0.751234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pasan por los lados del triángulo. :@0.545687:0.784219:0.791137:0.784219:0.791137:0.767830:0.545687:0.767830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512443:0.807938:0.516479:0.807938:0.516479:0.791549:0.512443:0.791549:0.000000
Los vértices de un triángulo son los puntos :@0.545687:0.807938:0.888844:0.807938:0.888844:0.791549:0.545687:0.791549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.545687:0.824534:0.555582:0.824534:0.555582:0.808173:0.545687:0.808173:0.000000
(–3, –1),  (2, –4),  (3, 1).:@0.555582:0.824534:0.724656:0.824534:0.724656:0.808145:0.555582:0.808145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.616246:0.824534:0.625091:0.824534:0.625091:0.808173:0.616246:0.808173:0.000000
C:@0.676541:0.824534:0.686455:0.824534:0.686455:0.808173:0.676541:0.808173:0.000000
 :@0.512443:0.927390:0.516479:0.927390:0.516479:0.911001:0.512443:0.911001:0.000000