﻿Evaluación formativa:@0.339661:0.092326:0.734079:0.092326:0.734079:0.025337:0.339661:0.025337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
186:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
I.M.5.6.3.:@0.173693:0.124609:0.216097:0.124609:0.216097:0.114294:0.173693:0.114294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En cada literal se dan dos puntos distintos :@0.197369:0.415664:0.477505:0.415664:0.477505:0.399167:0.197369:0.399167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u :@0.476426:0.415780:0.489777:0.415780:0.489777:0.399311:0.476426:0.399311:0.000000:0.000000
y   de  . Siempre que sea posible, :@0.197369:0.433015:0.434357:0.433015:0.434357:0.416517:0.197369:0.416517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.208678:0.433131:0.216461:0.433131:0.216461:0.416662:0.208678:0.416662:0.000000
R:@0.240907:0.432046:0.254816:0.432046:0.254816:0.418600:0.240907:0.418600:0.000000
2:@0.254453:0.426663:0.259406:0.426663:0.259406:0.417045:0.254453:0.417045:0.000000
calcula:@0.434088:0.433478:0.485620:0.433478:0.485620:0.416532:0.434088:0.416532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.485644:0.433015:0.489786:0.433015:0.489786:0.416517:0.485644:0.416517:0.000000
la pendiente de la recta   que pasa por :@0.197358:0.450366:0.475104:0.450366:0.475104:0.433868:0.197358:0.433868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.366469:0.450482:0.374310:0.450482:0.374310:0.434013:0.366469:0.434013:0.000000
u  :@0.476414:0.450482:0.489786:0.450482:0.489786:0.434013:0.476414:0.434013:0.000000:0.000000:0.000000
y por  , y :@0.197358:0.467717:0.271491:0.467717:0.271491:0.451219:0.197358:0.451219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.243075:0.467832:0.250858:0.467832:0.250858:0.451364:0.243075:0.451364:0.000000
obtén:@0.274419:0.468179:0.318325:0.468179:0.318325:0.451233:0.274419:0.451233:0.000000:0.000000:0.000000:0.000000:0.000000
 su ecuación cartesiana.  :@0.317940:0.467717:0.489766:0.467717:0.489766:0.451219:0.317940:0.451219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el sistema de coordenadas rectangula-:@0.197339:0.485067:0.485603:0.485067:0.485603:0.468570:0.197339:0.468570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
res, :@0.197339:0.502418:0.222729:0.502418:0.222729:0.485920:0.197339:0.485920:0.000000:0.000000:0.000000:0.000000:0.000000
representa:@0.222345:0.502881:0.301235:0.502881:0.301235:0.485935:0.222345:0.485935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente esta recta.:@0.300851:0.502418:0.465005:0.502418:0.465005:0.485920:0.300851:0.485920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.160417:0.410838:0.171839:0.410838:0.171839:0.390208:0.160417:0.390208:0.000000
Los puntos :@0.197369:0.630663:0.277840:0.630663:0.277840:0.614165:0.197369:0.614165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,1,:@0.293278:0.630217:0.317341:0.630217:0.317341:0.616982:0.293278:0.616982:0.000000:0.000000:0.000000:0.000000
–6,5:@0.332550:0.630217:0.358622:0.630217:0.358622:0.616982:0.332550:0.616982:0.000000:0.000000:0.000000:0.000000
A:@0.279454:0.630362:0.288160:0.630362:0.288160:0.617641:0.279454:0.617641:0.000000
B:@0.317208:0.630362:0.324307:0.630362:0.324307:0.617641:0.317208:0.617641:0.000000
( ) (:@0.288078:0.632652:0.332008:0.632652:0.332008:0.614024:0.288078:0.614024:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.358422:0.632652:0.363378:0.632652:0.363378:0.614024:0.358422:0.614024:0.000000
 son los extremos :@0.362642:0.630663:0.489791:0.630663:0.489791:0.614165:0.362642:0.614165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un segmento de recta.:@0.197365:0.648014:0.369787:0.648014:0.369787:0.631516:0.197365:0.631516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.160417:0.625837:0.171839:0.625837:0.171839:0.605207:0.160417:0.605207:0.000000
Los extremos de un segmento de recta son :@0.589137:0.483015:0.881521:0.483015:0.881521:0.466518:0.589137:0.466518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los puntos  = (2, 1)  Q  (–2, 3).:@0.589137:0.500366:0.815755:0.500366:0.815755:0.483869:0.589137:0.483869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P :@0.663424:0.500482:0.675966:0.500482:0.675966:0.484013:0.663424:0.484013:0.000000:0.000000
y  = :@0.727000:0.500482:0.769788:0.500482:0.769788:0.484013:0.727000:0.484013:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.552185:0.478188:0.563607:0.478188:0.563607:0.457558:0.552185:0.457558:0.000000
Sea :@0.589137:0.808656:0.616244:0.808656:0.616244:0.792159:0.589137:0.792159:0.000000:0.000000:0.000000:0.000000
M:@0.618571:0.762046:0.632455:0.762046:0.632455:0.747079:0.618571:0.747079:0.000000
=:@0.634136:0.762519:0.643748:0.762519:0.643748:0.747723:0.634136:0.747723:0.000000
a c b d:@0.657351:0.754017:0.722760:0.754017:0.722760:0.739051:0.657351:0.739051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.666683:0.754490:0.676294:0.754490:0.676294:0.739695:0.666683:0.739695:0.000000
2:@0.667050:0.772269:0.674771:0.772269:0.674771:0.757276:0.667050:0.757276:0.000000
,:@0.688410:0.761941:0.690913:0.761941:0.690913:0.746948:0.688410:0.746948:0.000000
+:@0.702871:0.754490:0.712483:0.754490:0.712483:0.739695:0.702871:0.739695:0.000000
2 ,:@0.704149:0.772269:0.715561:0.774152:0.715561:0.759159:0.704149:0.757276:0.000000:0.000000:0.000000
.:@0.732608:0.761941:0.735112:0.761941:0.735112:0.746948:0.732608:0.746948:0.000000
L:@0.618196:0.808600:0.625322:0.808600:0.625322:0.793634:0.618196:0.793634:0.000000
=:@0.627948:0.809073:0.637560:0.809073:0.637560:0.794277:0.627948:0.794277:0.000000
x y:@0.655680:0.808600:0.676077:0.808600:0.676077:0.793634:0.655680:0.793634:0.000000:0.000000:0.000000
,:@0.664294:0.808495:0.666798:0.808495:0.666798:0.793502:0.664294:0.793502:0.000000
( ):@0.648543:0.811836:0.682823:0.811836:0.682823:0.792306:0.648543:0.792306:0.000000:0.000000:0.000000
2:@0.714625:0.801198:0.719093:0.801198:0.719093:0.792520:0.714625:0.792520:0.000000
y:@0.725758:0.808606:0.732744:0.808606:0.732744:0.793640:0.725758:0.793640:0.000000
=:@0.735843:0.809079:0.745455:0.809079:0.745455:0.794284:0.735843:0.794284:0.000000
–:@0.747783:0.808501:0.757325:0.808501:0.757325:0.793508:0.747783:0.793508:0.000000
1:@0.760056:0.800473:0.767777:0.800473:0.767777:0.785480:0.760056:0.785480:0.000000
2:@0.759478:0.818829:0.767199:0.818829:0.767199:0.803836:0.759478:0.803836:0.000000
x:@0.770764:0.808606:0.777556:0.808606:0.777556:0.793640:0.770764:0.793640:0.000000
+:@0.779710:0.809079:0.789322:0.809079:0.789322:0.794284:0.779710:0.794284:0.000000
1 .:@0.790180:0.808501:0.808759:0.808501:0.808759:0.793508:0.790180:0.793508:0.000000:0.000000:0.000000
A:@0.619238:0.847067:0.629480:0.847067:0.629480:0.832101:0.619238:0.832101:0.000000
=:@0.631896:0.847540:0.641508:0.847540:0.641508:0.832745:0.631896:0.832745:0.000000
–2,2 ,:@0.649929:0.846962:0.690249:0.846957:0.690249:0.831964:0.649929:0.831969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.643832:0.850291:0.649662:0.850291:0.649662:0.830761:0.643832:0.830761:0.000000
):@0.680038:0.850291:0.685868:0.850291:0.685868:0.830761:0.680038:0.830761:0.000000
B:@0.691124:0.847062:0.699476:0.847062:0.699476:0.832096:0.691124:0.832096:0.000000
=:@0.701979:0.847535:0.711591:0.847535:0.711591:0.832739:0.701979:0.832739:0.000000
0,1 ,:@0.720397:0.846957:0.748718:0.846957:0.748718:0.831964:0.720397:0.831964:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.713911:0.850291:0.744339:0.850291:0.744339:0.830761:0.713911:0.830761:0.000000:0.000000:0.000000
C:@0.618198:0.887336:0.627319:0.887336:0.627319:0.872369:0.618198:0.872369:0.000000
=:@0.630856:0.887809:0.640468:0.887809:0.640468:0.873013:0.630856:0.873013:0.000000
4,–1 , y:@0.649274:0.887231:0.698647:0.887233:0.698647:0.872241:0.649274:0.872238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.642787:0.890569:0.648617:0.890569:0.648617:0.871039:0.642787:0.871039:0.000000
):@0.677557:0.890569:0.683387:0.890569:0.683387:0.871039:0.677557:0.871039:0.000000
D:@0.705387:0.887338:0.715962:0.887338:0.715962:0.872372:0.705387:0.872372:0.000000
=:@0.718431:0.887811:0.728042:0.887811:0.728042:0.873016:0.718431:0.873016:0.000000
2 ,–:@0.749017:0.887233:0.772320:0.887233:0.772320:0.872241:0.749017:0.872241:0.000000:0.000000:0.000000:0.000000
2:@0.786326:0.879205:0.794047:0.879205:0.794047:0.864212:0.786326:0.864212:0.000000
2:@0.781091:0.897548:0.788812:0.897548:0.788812:0.882556:0.781091:0.882556:0.000000
+:@0.798406:0.887811:0.808018:0.887811:0.808018:0.873016:0.798406:0.873016:0.000000
1:@0.808876:0.887233:0.816597:0.887233:0.816597:0.872241:0.808876:0.872241:0.000000
Prueba :@0.589137:0.838037:0.645353:0.838037:0.645353:0.821091:0.589137:0.821091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que  = (–2, 2), = (0, 1),:@0.644968:0.837574:0.816101:0.837574:0.816101:0.821077:0.644968:0.821077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A :@0.674579:0.837690:0.689606:0.837690:0.689606:0.821221:0.674579:0.821221:0.000000:0.000000
 B :@0.749367:0.837690:0.766070:0.837690:0.766070:0.821221:0.749367:0.821221:0.000000:0.000000:0.000000
M:@0.592123:0.733162:0.607400:0.733162:0.607400:0.716693:0.592123:0.716693:0.000000
=:@0.609250:0.733682:0.619826:0.733682:0.619826:0.717401:0.609250:0.717401:0.000000
a c b d:@0.634795:0.724327:0.706770:0.724327:0.706770:0.707859:0.634795:0.707859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.645064:0.724848:0.655640:0.724848:0.655640:0.708567:0.645064:0.708567:0.000000
2:@0.645468:0.744411:0.653964:0.744411:0.653964:0.727913:0.645468:0.727913:0.000000
,:@0.668972:0.733046:0.671727:0.733046:0.671727:0.716548:0.668972:0.716548:0.000000
+:@0.684885:0.724848:0.695462:0.724848:0.695462:0.708567:0.684885:0.708567:0.000000
2:@0.686291:0.744411:0.694787:0.744411:0.694787:0.727913:0.686291:0.727913:0.000000
.:@0.717608:0.733046:0.720363:0.733046:0.720363:0.716548:0.717608:0.716548:0.000000
L:@0.591710:0.784390:0.599551:0.784390:0.599551:0.767921:0.591710:0.767921:0.000000
=:@0.602440:0.784910:0.613017:0.784910:0.613017:0.768630:0.602440:0.768630:0.000000
x y:@0.632957:0.784390:0.655401:0.784390:0.655401:0.767921:0.632957:0.767921:0.000000:0.000000:0.000000
,:@0.642435:0.784274:0.645190:0.784274:0.645190:0.767777:0.642435:0.767777:0.000000
( ):@0.625103:0.787952:0.662825:0.787952:0.662825:0.766461:0.625103:0.766461:0.000000:0.000000:0.000000
2:@0.697819:0.776245:0.702736:0.776245:0.702736:0.766697:0.697819:0.766697:0.000000
y:@0.710070:0.784397:0.717756:0.784397:0.717756:0.767928:0.710070:0.767928:0.000000
=:@0.721166:0.784917:0.731743:0.784917:0.731743:0.768637:0.721166:0.768637:0.000000
–:@0.734305:0.784281:0.744805:0.784281:0.744805:0.767783:0.734305:0.767783:0.000000
1:@0.747810:0.775447:0.756306:0.775447:0.756306:0.758949:0.747810:0.758949:0.000000
2:@0.747174:0.795646:0.755670:0.795646:0.755670:0.779148:0.747174:0.779148:0.000000
x:@0.759601:0.784397:0.767076:0.784397:0.767076:0.767928:0.759601:0.767928:0.000000
+:@0.769445:0.784917:0.780022:0.784917:0.780022:0.768637:0.769445:0.768637:0.000000
1 .:@0.780966:0.784281:0.801403:0.784281:0.801403:0.767783:0.780966:0.767783:0.000000:0.000000:0.000000
A:@0.592856:0.826718:0.604127:0.826718:0.604127:0.810249:0.592856:0.810249:0.000000
=:@0.606785:0.827239:0.617362:0.827239:0.617362:0.810958:0.606785:0.810958:0.000000
–2,2 ,:@0.626628:0.826602:0.670995:0.826598:0.670995:0.810100:0.626628:0.810105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.619920:0.830267:0.626335:0.830267:0.626335:0.808777:0.619920:0.808777:0.000000
):@0.659760:0.830267:0.666176:0.830267:0.666176:0.808777:0.659760:0.808777:0.000000
B:@0.671959:0.826714:0.681148:0.826714:0.681148:0.810245:0.671959:0.810245:0.000000
=:@0.683903:0.827234:0.694480:0.827234:0.694480:0.810953:0.683903:0.810953:0.000000
0,1 ,:@0.704170:0.826598:0.735335:0.826598:0.735335:0.810100:0.704170:0.810100:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.697035:0.830267:0.730518:0.830267:0.730518:0.808777:0.697035:0.808777:0.000000:0.000000:0.000000
C:@0.591712:0.871030:0.601749:0.871030:0.601749:0.854561:0.591712:0.854561:0.000000
=:@0.605641:0.871550:0.616218:0.871550:0.616218:0.855270:0.605641:0.855270:0.000000
4,–1 , y:@0.625908:0.870914:0.680237:0.870918:0.680237:0.854420:0.625908:0.854416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.618769:0.874587:0.625184:0.874587:0.625184:0.853096:0.618769:0.853096:0.000000
):@0.657030:0.874587:0.663445:0.874587:0.663445:0.853096:0.657030:0.853096:0.000000
D:@0.687654:0.871034:0.699290:0.871034:0.699290:0.854565:0.687654:0.854565:0.000000
=:@0.702007:0.871554:0.712583:0.871554:0.712583:0.855273:0.702007:0.855273:0.000000
2 ,–:@0.735663:0.870918:0.761300:0.870918:0.761300:0.854420:0.735663:0.854420:0.000000:0.000000:0.000000:0.000000
2:@0.776712:0.862084:0.785208:0.862084:0.785208:0.845586:0.776712:0.845586:0.000000
2:@0.770955:0.882273:0.779451:0.882273:0.779451:0.865775:0.770955:0.865775:0.000000
+:@0.790010:0.871554:0.800587:0.871554:0.800587:0.855273:0.790010:0.855273:0.000000
1:@0.801531:0.870918:0.810027:0.870918:0.810027:0.854420:0.801531:0.854420:0.000000
 :@0.823991:0.866492:0.828133:0.866492:0.828133:0.849995:0.823991:0.849995:0.000000
pertenecen a la recta  .:@0.589128:0.902538:0.743636:0.902538:0.743636:0.886041:0.589128:0.886041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.733425:0.902654:0.741266:0.902654:0.741266:0.886185:0.733425:0.886185:0.000000
7:@0.552185:0.794305:0.563607:0.794305:0.563607:0.773675:0.552185:0.773675:0.000000
En cada literal se da un punto :@0.198557:0.171342:0.426521:0.171342:0.426521:0.154844:0.198557:0.154844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A :@0.428717:0.171458:0.444129:0.171458:0.444129:0.154989:0.428717:0.154989:0.000000:0.000000
 :@0.458879:0.171342:0.463021:0.171342:0.463021:0.154844:0.458879:0.154844:0.000000
R:@0.465217:0.170373:0.479127:0.170373:0.479127:0.156926:0.465217:0.156926:0.000000
2:@0.479133:0.164990:0.484086:0.164990:0.484086:0.155372:0.479133:0.155372:0.000000
. :@0.484086:0.171342:0.490983:0.171342:0.490983:0.154844:0.484086:0.154844:0.000000:0.000000
Obtén:@0.198556:0.189155:0.247914:0.189155:0.247914:0.172209:0.198556:0.172209:0.000000:0.000000:0.000000:0.000000:0.000000
 la pendiente de la recta :@0.247914:0.188693:0.440526:0.188693:0.440526:0.172195:0.247914:0.172195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L :@0.444167:0.188808:0.456150:0.188808:0.456150:0.172340:0.444167:0.172340:0.000000:0.000000
que :@0.459832:0.188693:0.490983:0.188693:0.490983:0.172195:0.459832:0.172195:0.000000:0.000000:0.000000:0.000000
pasa por el origen   y por  , la ecuación :@0.198556:0.206043:0.490982:0.206043:0.490982:0.189546:0.198556:0.189546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O:@0.329945:0.206159:0.341851:0.206159:0.341851:0.189690:0.329945:0.189690:0.000000
A:@0.388088:0.206159:0.399358:0.206159:0.399358:0.189690:0.388088:0.189690:0.000000
cartesiana de la misma y en el sistema de :@0.198556:0.223394:0.490964:0.223394:0.490964:0.206896:0.198556:0.206896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coordenadas rectangulares :@0.198556:0.240745:0.398759:0.240745:0.398759:0.224247:0.198556:0.224247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representa :@0.404482:0.241208:0.490866:0.241208:0.490866:0.224262:0.404482:0.224262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráficamente esta recta.:@0.198556:0.258096:0.367435:0.258096:0.367435:0.241598:0.198556:0.241598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.166014:0.300617:0.184643:0.300617:0.184643:0.283902:0.166014:0.283902:0.000000:0.000000:0.000000
A = (3, 0). :@0.189749:0.300400:0.263400:0.300400:0.263400:0.283902:0.189749:0.283902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.166014:0.542964:0.184643:0.542964:0.184643:0.526249:0.166014:0.526249:0.000000:0.000000:0.000000
u = (3, 1), v = (0, 1).  :@0.189749:0.542747:0.335086:0.542747:0.335086:0.526249:0.189749:0.526249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.166014:0.359523:0.184431:0.359523:0.184431:0.342808:0.166014:0.342808:0.000000:0.000000:0.000000
A = (1, 4). :@0.189749:0.359306:0.263400:0.359306:0.263400:0.342808:0.189749:0.342808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.166014:0.330431:0.186107:0.330431:0.186107:0.313717:0.166014:0.313717:0.000000:0.000000:0.000000
A = (0, –2).:@0.189749:0.330214:0.269757:0.330214:0.269757:0.313717:0.189749:0.313717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.166014:0.574036:0.186107:0.574036:0.186107:0.557321:0.166014:0.557321:0.000000:0.000000:0.000000
A = (–2, 0), v = (0, –1).:@0.189749:0.573819:0.350093:0.573819:0.350093:0.557321:0.189749:0.557321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.667334:0.727701:0.681218:0.727701:0.681218:0.712735:0.667334:0.712735:0.000000
=:@0.682899:0.728174:0.692510:0.728174:0.692510:0.713379:0.682899:0.713379:0.000000
a c b d:@0.706114:0.719673:0.771524:0.719673:0.771524:0.704707:0.706114:0.704707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.715446:0.720146:0.725057:0.720146:0.725057:0.705350:0.715446:0.705350:0.000000
2:@0.715813:0.737924:0.723534:0.737924:0.723534:0.722932:0.715813:0.722932:0.000000
,:@0.737173:0.727596:0.739677:0.727596:0.739677:0.712604:0.737173:0.712604:0.000000
+:@0.751635:0.720146:0.761247:0.720146:0.761247:0.705350:0.751635:0.705350:0.000000
2:@0.752913:0.737924:0.760634:0.737924:0.760634:0.722932:0.752913:0.722932:0.000000
.:@0.781371:0.727596:0.783875:0.727596:0.783875:0.712604:0.781371:0.712604:0.000000
L:@0.666959:0.774257:0.674085:0.774257:0.674085:0.759290:0.666959:0.759290:0.000000
=:@0.676711:0.774730:0.686323:0.774730:0.686323:0.759934:0.676711:0.759934:0.000000
x y:@0.704443:0.774257:0.724840:0.774257:0.724840:0.759290:0.704443:0.759290:0.000000:0.000000:0.000000
( ):@0.697306:0.777492:0.731586:0.777492:0.731586:0.757962:0.697306:0.757962:0.000000:0.000000:0.000000
2:@0.763387:0.766855:0.767856:0.766855:0.767856:0.758177:0.763387:0.758177:0.000000
y:@0.774521:0.774263:0.781507:0.774263:0.781507:0.759297:0.774521:0.759297:0.000000
=:@0.784606:0.774736:0.794217:0.774736:0.794217:0.759941:0.784606:0.759941:0.000000
–:@0.796546:0.774158:0.806088:0.774158:0.806088:0.759165:0.796546:0.759165:0.000000
1:@0.808819:0.766129:0.816540:0.766129:0.816540:0.751137:0.808819:0.751137:0.000000
2:@0.808241:0.784486:0.815962:0.784486:0.815962:0.769493:0.808241:0.769493:0.000000
x:@0.819534:0.774263:0.826327:0.774263:0.826327:0.759297:0.819534:0.759297:0.000000
+:@0.828480:0.774736:0.838092:0.774736:0.838092:0.759941:0.828480:0.759941:0.000000
1 .:@0.838950:0.774158:0.857522:0.774158:0.857522:0.759165:0.838950:0.759165:0.000000:0.000000:0.000000
A:@0.668000:0.812724:0.678242:0.812724:0.678242:0.797757:0.668000:0.797757:0.000000
=:@0.680658:0.813197:0.690270:0.813197:0.690270:0.798401:0.680658:0.798401:0.000000
–2,2 ,:@0.698691:0.812619:0.739012:0.812612:0.739012:0.797620:0.698691:0.797626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.692595:0.815948:0.698425:0.815948:0.698425:0.796418:0.692595:0.796418:0.000000
):@0.728801:0.815948:0.734631:0.815948:0.734631:0.796418:0.728801:0.796418:0.000000
B:@0.739887:0.812718:0.748238:0.812718:0.748238:0.797751:0.739887:0.797751:0.000000
=:@0.750742:0.813191:0.760354:0.813191:0.760354:0.798395:0.750742:0.798395:0.000000
0,1 ,:@0.769160:0.812612:0.797481:0.812612:0.797481:0.797620:0.769160:0.797620:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.762674:0.815948:0.793102:0.815948:0.793102:0.796418:0.762674:0.796418:0.000000:0.000000:0.000000
C:@0.666961:0.852991:0.676082:0.852991:0.676082:0.838025:0.666961:0.838025:0.000000
=:@0.679619:0.853464:0.689231:0.853464:0.689231:0.838669:0.679619:0.838669:0.000000
4,–1 , y:@0.698037:0.852886:0.747410:0.852890:0.747410:0.837897:0.698037:0.837894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.691550:0.856225:0.697380:0.856225:0.697380:0.836695:0.691550:0.836695:0.000000
):@0.726320:0.856225:0.732150:0.856225:0.732150:0.836695:0.726320:0.836695:0.000000
D:@0.754150:0.852995:0.764725:0.852995:0.764725:0.838029:0.754150:0.838029:0.000000
=:@0.767194:0.853468:0.776805:0.853468:0.776805:0.838673:0.767194:0.838673:0.000000
2 ,–:@0.797780:0.852890:0.821083:0.852890:0.821083:0.837897:0.797780:0.837897:0.000000:0.000000:0.000000:0.000000
2:@0.835089:0.844862:0.842810:0.844862:0.842810:0.829869:0.835089:0.829869:0.000000
2:@0.829854:0.863205:0.837575:0.863205:0.837575:0.848212:0.829854:0.848212:0.000000
+:@0.847169:0.853468:0.856781:0.853468:0.856781:0.838673:0.847169:0.838673:0.000000
1:@0.857639:0.852890:0.865360:0.852890:0.865360:0.837897:0.857639:0.837897:0.000000
a) :@0.561360:0.533220:0.579990:0.533220:0.579990:0.516506:0.561360:0.516506:0.000000:0.000000:0.000000
Obtén:@0.585095:0.533466:0.632911:0.533466:0.632911:0.516520:0.585095:0.516520:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de la recta que pasa :@0.632526:0.533003:0.863917:0.533003:0.863917:0.516506:0.632526:0.516506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por el punto medio del segmento y por el :@0.585095:0.550354:0.886881:0.550354:0.886881:0.533856:0.585095:0.533856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
origen.:@0.585095:0.567705:0.632411:0.567705:0.632411:0.551207:0.585095:0.551207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.561360:0.585272:0.581454:0.585272:0.581454:0.568558:0.561360:0.568558:0.000000:0.000000:0.000000
Obtén:@0.585095:0.585518:0.634453:0.585518:0.634453:0.568572:0.585095:0.568572:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de cada recta que pasa :@0.634453:0.585055:0.890058:0.585055:0.890058:0.568558:0.634453:0.568558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por cada extremo y el origen.:@0.585095:0.602406:0.791251:0.602406:0.791251:0.585909:0.585095:0.585909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.561360:0.619974:0.579778:0.619974:0.579778:0.603259:0.561360:0.603259:0.000000:0.000000:0.000000
En el sistema de coordenadas rectangula-:@0.585095:0.619757:0.877694:0.619757:0.877694:0.603259:0.585095:0.603259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
res, :@0.585095:0.637108:0.612028:0.637108:0.612028:0.620610:0.585095:0.620610:0.000000:0.000000:0.000000:0.000000:0.000000
representa:@0.612028:0.637570:0.694383:0.637570:0.694383:0.620625:0.612028:0.620625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el segmento de recta, y cada :@0.694387:0.637108:0.894855:0.637108:0.894855:0.620610:0.694387:0.620610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una de las rectas obtenidas en  y  .:@0.585095:0.654458:0.852397:0.654458:0.852397:0.637961:0.585095:0.637961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  b):@0.803039:0.654675:0.849642:0.654675:0.849642:0.637961:0.803039:0.637961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nota.:@0.561360:0.672026:0.602625:0.672026:0.602625:0.655312:0.561360:0.655312:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.602626:0.672272:0.606653:0.672272:0.606653:0.655326:0.602626:0.655326:0.000000
Si   = (:@0.608483:0.671809:0.663928:0.671809:0.663928:0.655312:0.608483:0.655312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.626323:0.671925:0.635108:0.671925:0.635108:0.655456:0.626323:0.655456:0.000000
a, b Q:@0.663928:0.671925:0.717370:0.671925:0.717370:0.655456:0.663928:0.655456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
),   = (:@0.690746:0.671809:0.746191:0.671809:0.746191:0.655312:0.690746:0.655312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c, d:@0.746191:0.671925:0.771583:0.671925:0.771583:0.655456:0.746191:0.655456:0.000000:0.000000:0.000000:0.000000
)   :@0.771583:0.671809:0.800232:0.671809:0.800232:0.655312:0.771583:0.655312:0.000000:0.000000:0.000000:0.000000
R:@0.802120:0.670840:0.816029:0.670840:0.816029:0.657394:0.802120:0.657394:0.000000
2:@0.816030:0.664200:0.820983:0.664200:0.820983:0.654582:0.816030:0.654582:0.000000
, el punto :@0.820984:0.671809:0.895906:0.671809:0.895906:0.655312:0.820984:0.655312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medio M del segmento que une   y   está  :@0.561365:0.689160:0.895906:0.689160:0.895906:0.672662:0.561365:0.672662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.813293:0.689276:0.822078:0.689276:0.822078:0.672807:0.813293:0.672807:0.000000
Q:@0.844233:0.689276:0.856120:0.689276:0.856120:0.672807:0.844233:0.672807:0.000000
definido como: :@0.561365:0.706511:0.673950:0.706511:0.673950:0.690013:0.561365:0.690013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.161603:0.166516:0.173025:0.166516:0.173025:0.145886:0.161603:0.145886:0.000000
a):@0.166014:0.682628:0.180559:0.682628:0.180559:0.665913:0.166014:0.665913:0.000000:0.000000
 :@0.180559:0.682411:0.184701:0.682411:0.184701:0.665913:0.180559:0.665913:0.000000
Determina:@0.189749:0.682873:0.272027:0.682873:0.272027:0.665928:0.189749:0.665928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de la recta que pasa :@0.271934:0.682411:0.502557:0.682411:0.502557:0.665913:0.271934:0.665913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por el punto medio del segmento de recta y :@0.189749:0.699762:0.504173:0.699762:0.504173:0.683264:0.189749:0.683264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el origen del sistema de coordenadas :@0.189749:0.718992:0.450985:0.718992:0.450985:0.702494:0.189749:0.702494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.479920:0.717102:0.482354:0.717102:0.482354:0.704663:0.479920:0.704663:0.000000
OC:@0.457039:0.717238:0.470829:0.717238:0.470829:0.705282:0.457039:0.705282:0.000000:0.000000
( ):@0.450992:0.719652:0.478265:0.719652:0.478265:0.696674:0.450992:0.696674:0.000000:0.000000:0.000000
b):@0.166014:0.736566:0.182023:0.736566:0.182023:0.719851:0.166014:0.719851:0.000000:0.000000
 :@0.182023:0.736349:0.186165:0.736349:0.186165:0.719851:0.182023:0.719851:0.000000
Determina:@0.189749:0.736812:0.272797:0.736812:0.272797:0.719866:0.189749:0.719866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de cada recta que :@0.272801:0.736349:0.492074:0.736349:0.492074:0.719851:0.272801:0.719851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pasa por cada extremo de la recta AB y el :@0.189749:0.753700:0.487853:0.753700:0.487853:0.737202:0.189749:0.737202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
origen del sistema de coordenadas :@0.189749:0.771051:0.438615:0.771051:0.438615:0.754553:0.189749:0.754553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.455969:0.770011:0.457990:0.770011:0.457990:0.759683:0.455969:0.759683:0.000000
.:@0.464319:0.770011:0.466340:0.770011:0.466340:0.759683:0.464319:0.759683:0.000000
.:@0.484249:0.770011:0.486270:0.770011:0.486270:0.759683:0.484249:0.759683:0.000000
OA yOB:@0.442973:0.770125:0.479266:0.770125:0.479266:0.760197:0.442973:0.760197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.438624:0.772346:0.442491:0.772346:0.442491:0.753265:0.438624:0.753265:0.000000
):@0.479667:0.772346:0.483534:0.772346:0.483534:0.753265:0.479667:0.753265:0.000000
c):@0.166014:0.788618:0.180347:0.788618:0.180347:0.771904:0.166014:0.771904:0.000000:0.000000
 :@0.180347:0.788401:0.184489:0.788401:0.184489:0.771904:0.180347:0.771904:0.000000
Representa:@0.189749:0.788864:0.275862:0.788864:0.275862:0.771918:0.189749:0.771918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente.:@0.275864:0.788401:0.376022:0.788401:0.376022:0.771904:0.275864:0.771904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los vértices de un triángulo están dados :@0.589911:0.172949:0.882379:0.172949:0.882379:0.156451:0.589911:0.156451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por los puntos A(2, 1), B(–4, 3), C(1, 8). :@0.589911:0.190299:0.851842:0.190299:0.851842:0.173802:0.589911:0.173802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De-:@0.851379:0.190762:0.878197:0.190762:0.878197:0.173816:0.851379:0.173816:0.000000:0.000000:0.000000
termina:@0.589911:0.208113:0.649034:0.208113:0.649034:0.191167:0.589911:0.191167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones cartesianas de las :@0.648651:0.207650:0.882375:0.207650:0.882375:0.191152:0.648651:0.191152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas que pasan por los lados del triángulo :@0.589911:0.225001:0.882300:0.225001:0.882300:0.208503:0.589911:0.208503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.589911:0.242352:0.601490:0.242352:0.601490:0.225854:0.589911:0.225854:0.000000:0.000000
representa:@0.600315:0.242814:0.679204:0.242814:0.679204:0.225868:0.600315:0.225868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente en tu cuaderno.:@0.678821:0.242352:0.878235:0.242352:0.878235:0.225854:0.678821:0.225854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.552957:0.168123:0.564379:0.168123:0.564379:0.147493:0.552957:0.147493:0.000000
Verifica:@0.589911:0.350691:0.652233:0.350691:0.652233:0.333745:0.589911:0.333745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si los siguientes puntos :@0.652716:0.350228:0.834599:0.350228:0.834599:0.333730:0.652716:0.333730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2,4 ,1,3 ,:@0.606121:0.367304:0.690271:0.367304:0.690271:0.352346:0.606121:0.352346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,2:@0.708889:0.367304:0.729234:0.367304:0.729234:0.352346:0.708889:0.352346:0.000000:0.000000:0.000000
A:@0.590163:0.367468:0.600001:0.367468:0.600001:0.353091:0.590163:0.353091:0.000000
B:@0.646453:0.367468:0.654476:0.367468:0.654476:0.353091:0.646453:0.353091:0.000000
C:@0.691503:0.367468:0.700265:0.367468:0.700265:0.353091:0.691503:0.353091:0.000000
(:@0.599909:0.370056:0.605510:0.370056:0.605510:0.349004:0.599909:0.349004:0.000000
) ( ) ( ):@0.636741:0.370056:0.734993:0.370056:0.734993:0.349004:0.636741:0.349004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 pertenecen a la :@0.736967:0.367579:0.861091:0.367579:0.861091:0.351081:0.736967:0.351081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta x + 3y = 10.:@0.589916:0.384930:0.720361:0.384930:0.720361:0.368432:0.589916:0.368432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.552957:0.345402:0.564379:0.345402:0.564379:0.324772:0.552957:0.324772:0.000000
m:@0.265923:0.298386:0.274929:0.298386:0.274929:0.288362:0.265923:0.288362:0.000000
 = 0;   = 0:@0.274929:0.298316:0.317392:0.298316:0.317392:0.288274:0.274929:0.288274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.295920:0.298386:0.300599:0.298386:0.300599:0.288362:0.295920:0.288362:0.000000
y:@0.265923:0.355752:0.270602:0.355752:0.270602:0.345728:0.265923:0.345728:0.000000
 = 4 ;   = 4:@0.270602:0.355682:0.321942:0.355682:0.321942:0.345640:0.270602:0.345640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x m:@0.287395:0.355752:0.305149:0.355752:0.305149:0.345728:0.287395:0.345728:0.000000:0.000000:0.000000
y:@0.339461:0.541367:0.344140:0.541367:0.344140:0.531343:0.339461:0.531343:0.000000
 = 1:@0.344140:0.541297:0.360933:0.541297:0.360933:0.531255:0.344140:0.531255:0.000000:0.000000:0.000000:0.000000
y:@0.362281:0.570261:0.366960:0.570261:0.366960:0.560237:0.362281:0.560237:0.000000
 = 0,5  + 1 :@0.366960:0.570191:0.414465:0.570191:0.414465:0.560149:0.366960:0.560149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.390601:0.570261:0.395151:0.570261:0.395151:0.560237:0.390601:0.560237:0.000000
; =:@0.327646:0.329510:0.355614:0.329510:0.355614:0.314447:0.327646:0.314447:0.000000:0.000000:0.000000
m:@0.280223:0.329616:0.293732:0.329616:0.293732:0.314579:0.280223:0.314579:0.000000
x:@0.334154:0.329616:0.340979:0.329616:0.340979:0.314579:0.334154:0.314579:0.000000
0:@0.360328:0.329510:0.368085:0.329510:0.368085:0.314447:0.360328:0.314447:0.000000
3:@0.313117:0.328784:0.327681:0.328784:0.327681:0.315583:0.313117:0.315583:0.000000
=:@0.298517:0.329510:0.308385:0.329510:0.308385:0.314447:0.298517:0.314447:0.000000
A B C:@0.588164:0.925669:0.615124:0.925669:0.615124:0.915644:0.588164:0.915644:0.000000:0.000000:0.000000:0.000000:0.000000
,  ,   sí pertenecen a  ;   no pertenece a :@0.595024:0.925598:0.771347:0.925598:0.771347:0.915556:0.595024:0.915556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L D:@0.685308:0.925669:0.701362:0.925669:0.701362:0.915644:0.685308:0.915644:0.000000:0.000000:0.000000
L.:@0.771347:0.925669:0.777972:0.925669:0.777972:0.915644:0.771347:0.915644:0.000000:0.000000
1:@0.202824:0.857862:0.208176:0.857862:0.208176:0.848109:0.202824:0.848109:0.000000
2:@0.202356:0.869437:0.207708:0.869437:0.207708:0.859684:0.202356:0.859684:0.000000
............:@0.215001:0.862943:0.236814:0.862943:0.236814:0.853190:0.215001:0.853190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2,3:@0.248460:0.862943:0.267454:0.862943:0.267454:0.853190:0.248460:0.853190:0.000000:0.000000:0.000000:0.000000
–:@0.201698:0.884804:0.207182:0.884804:0.207182:0.875050:0.201698:0.875050:0.000000
5:@0.209265:0.879725:0.214617:0.879725:0.214617:0.869972:0.209265:0.869972:0.000000
6:@0.209149:0.891300:0.214501:0.891300:0.214501:0.881547:0.209149:0.881547:0.000000
........:@0.222015:0.884805:0.236590:0.884805:0.236590:0.875052:0.222015:0.875052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.279557:0.884805:0.285041:0.884805:0.285041:0.875052:0.279557:0.875052:0.000000
3:@0.286905:0.879727:0.292257:0.879727:0.292257:0.869973:0.286905:0.869973:0.000000
2:@0.286788:0.891300:0.292140:0.891300:0.292140:0.881547:0.286788:0.881547:0.000000
OA:@0.159981:0.863053:0.171496:0.863053:0.171496:0.853678:0.159981:0.853678:0.000000:0.000000
y:@0.187090:0.863050:0.191466:0.863050:0.191466:0.853675:0.187090:0.853675:0.000000
x:@0.208913:0.863050:0.213169:0.863050:0.213169:0.853675:0.208913:0.853675:0.000000
C:@0.236911:0.863050:0.242625:0.863050:0.242625:0.853675:0.236911:0.853675:0.000000
OB:@0.159986:0.884912:0.170317:0.884912:0.170317:0.875537:0.159986:0.875537:0.000000:0.000000
y:@0.187090:0.884912:0.191466:0.884912:0.191466:0.875537:0.187090:0.875537:0.000000
x:@0.215921:0.884912:0.220176:0.884912:0.220176:0.875537:0.215921:0.875537:0.000000
OC:@0.236692:0.884912:0.247505:0.884912:0.247505:0.875537:0.236692:0.875537:0.000000:0.000000
y:@0.264948:0.884912:0.269324:0.884912:0.269324:0.875537:0.264948:0.875537:0.000000
x:@0.293341:0.884912:0.297596:0.884912:0.297596:0.875537:0.293341:0.875537:0.000000
(:@0.244417:0.864738:0.248068:0.864738:0.248068:0.851010:0.244417:0.851010:0.000000
):@0.267315:0.864738:0.270967:0.864738:0.270967:0.851010:0.267315:0.851010:0.000000
→=:@0.173881:0.863297:0.199970:0.863297:0.199970:0.852572:0.173881:0.852572:0.000000:0.000000
→=:@0.173881:0.885157:0.199970:0.885157:0.199970:0.874433:0.173881:0.874433:0.000000:0.000000
→=:@0.251733:0.885157:0.277822:0.885157:0.277822:0.874433:0.251733:0.874433:0.000000:0.000000
x:@0.496912:0.905306:0.499961:0.905306:0.499961:0.898590:0.496912:0.898590:0.000000
y:@0.407194:0.819120:0.410329:0.819120:0.410329:0.812403:0.407194:0.812403:0.000000
–1:@0.385425:0.909930:0.393172:0.909930:0.393172:0.903202:0.385425:0.903202:0.000000:0.000000
–1:@0.398789:0.918292:0.406536:0.918292:0.406536:0.911563:0.398789:0.911563:0.000000:0.000000
–3:@0.348623:0.909930:0.356370:0.909930:0.356370:0.903202:0.348623:0.903202:0.000000:0.000000
–6:@0.291669:0.909930:0.299416:0.909930:0.299416:0.903202:0.291669:0.903202:0.000000:0.000000
3:@0.463357:0.909930:0.466822:0.909930:0.466822:0.903202:0.463357:0.903202:0.000000
–2:@0.367024:0.909930:0.374771:0.909930:0.374771:0.903202:0.367024:0.903202:0.000000:0.000000
–5:@0.311193:0.909930:0.318940:0.909930:0.318940:0.903202:0.311193:0.903202:0.000000:0.000000
4:@0.481758:0.909930:0.485223:0.909930:0.485223:0.903202:0.481758:0.903202:0.000000
–4:@0.329099:0.909930:0.336846:0.909930:0.336846:0.903202:0.329099:0.903202:0.000000:0.000000
2:@0.444956:0.909930:0.448421:0.909930:0.448421:0.903202:0.444956:0.903202:0.000000
1:@0.425927:0.909930:0.429392:0.909930:0.429392:0.903202:0.425927:0.903202:0.000000
1:@0.402309:0.890323:0.405774:0.890323:0.405774:0.883595:0.402309:0.883595:0.000000
3:@0.401901:0.860073:0.405366:0.860073:0.405366:0.853345:0.401901:0.853345:0.000000
5:@0.401492:0.830808:0.404957:0.830808:0.404957:0.824079:0.401492:0.824079:0.000000
2:@0.402301:0.875546:0.405766:0.875546:0.405766:0.868818:0.402301:0.868818:0.000000
4:@0.401893:0.845296:0.405358:0.845296:0.405358:0.838568:0.401893:0.838568:0.000000
0:@0.401893:0.909930:0.405358:0.909930:0.405358:0.903202:0.401893:0.903202:0.000000
B = (– 6, 5):@0.278532:0.843079:0.310627:0.843079:0.310627:0.836350:0.278532:0.836350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.373050:0.855645:0.377600:0.855645:0.377600:0.848916:0.373050:0.848916:0.000000
O:@0.410716:0.899947:0.416310:0.899947:0.416310:0.893219:0.410716:0.893219:0.000000
A = (2, 1):@0.447989:0.895412:0.475213:0.895412:0.475213:0.888684:0.447989:0.888684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
OA:@0.468174:0.873683:0.477610:0.873683:0.477610:0.866966:0.468174:0.866966:0.000000:0.000000
OB:@0.346400:0.873567:0.355059:0.873567:0.355059:0.866851:0.346400:0.866851:0.000000:0.000000
OC:@0.360519:0.832701:0.369570:0.832701:0.369570:0.825985:0.360519:0.825985:0.000000:0.000000
–:@0.639217:0.272742:0.645450:0.272742:0.645450:0.261654:0.639217:0.261654:0.000000
1:@0.647823:0.266981:0.653907:0.266981:0.653907:0.255893:0.647823:0.255893:0.000000
3:@0.647434:0.280139:0.653518:0.280139:0.653518:0.269051:0.647434:0.269051:0.000000
–5:@0.667905:0.272747:0.681917:0.272747:0.681917:0.261659:0.667905:0.261659:0.000000:0.000000
...:@0.686355:0.272747:0.692639:0.272747:0.692639:0.261659:0.686355:0.261659:0.000000:0.000000:0.000000
7:@0.755490:0.272742:0.761574:0.272742:0.761574:0.261654:0.755490:0.261654:0.000000
–7 15:@0.646159:0.293535:0.679408:0.293535:0.679408:0.282448:0.646159:0.282448:0.000000:0.000000:0.000000:0.000000:0.000000
A   B:@0.590844:0.272866:0.604794:0.272866:0.604794:0.262209:0.590844:0.262209:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.622609:0.272866:0.627584:0.272866:0.627584:0.262209:0.622609:0.262209:0.000000
x:@0.658963:0.272866:0.663800:0.272866:0.663800:0.262209:0.658963:0.262209:0.000000
B      C:@0.692773:0.272866:0.704716:0.272866:0.704716:0.262209:0.692773:0.262209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y x:@0.723054:0.272866:0.743986:0.272866:0.743986:0.262209:0.723054:0.262209:0.000000:0.000000:0.000000
C   A:@0.589846:0.293657:0.604344:0.293657:0.604344:0.283000:0.589846:0.283000:0.000000:0.000000:0.000000:0.000000:0.000000
y  x:@0.621611:0.293657:0.631285:0.293657:0.631285:0.283000:0.621611:0.283000:0.000000:0.000000:0.000000:0.000000
(:@0.654408:0.274333:0.658560:0.274333:0.658560:0.258728:0.654408:0.258728:0.000000
):@0.681286:0.274333:0.685438:0.274333:0.685438:0.258728:0.681286:0.258728:0.000000
→=:@0.606818:0.273028:0.636476:0.273028:0.636476:0.260837:0.606818:0.260837:0.000000:0.000000
→:@0.707724:0.273496:0.720029:0.273496:0.720029:0.261305:0.707724:0.261305:0.000000
=:@0.730538:0.273216:0.737582:0.273216:0.737582:0.262559:0.730538:0.262559:0.000000
+:@0.747556:0.273150:0.754400:0.273150:0.754400:0.260958:0.747556:0.260958:0.000000
→:@0.607577:0.294079:0.619882:0.294079:0.619882:0.281888:0.607577:0.281888:0.000000
+:@0.659936:0.293657:0.666980:0.293657:0.666980:0.283000:0.659936:0.283000:0.000000
=:@0.634307:0.294225:0.641151:0.294225:0.641151:0.282034:0.634307:0.282034:0.000000
A :@0.590469:0.409224:0.599851:0.409224:0.599851:0.399199:0.590469:0.399199:0.000000:0.000000
: 10 = 10; sí pertenece.:@0.599851:0.409153:0.694400:0.409153:0.694400:0.399111:0.599851:0.399111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B :@0.590469:0.418025:0.598584:0.418025:0.598584:0.408000:0.590469:0.408000:0.000000:0.000000
: 10 = 10; sí pertenece.:@0.598584:0.417955:0.693134:0.417955:0.693134:0.407912:0.598584:0.407912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C :@0.590469:0.426826:0.599100:0.426826:0.599100:0.416802:0.590469:0.416802:0.000000:0.000000
: 9 ≠ 10; no pertenece.:@0.599100:0.426756:0.694049:0.426756:0.694049:0.416714:0.599100:0.416714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000