﻿187:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.498812:0.126740:0.693048:0.126740:0.693048:0.106110:0.498812:0.106110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.132075:0.279989:0.136217:0.279989:0.136217:0.263491:0.132075:0.263491:0.000000
Los vértices de un cuadrado son los pun-:@0.162938:0.285686:0.451198:0.285686:0.451198:0.269188:0.162938:0.269188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tos :@0.162938:0.303037:0.188869:0.303037:0.188869:0.286539:0.162938:0.286539:0.000000:0.000000:0.000000:0.000000
A :@0.191258:0.303152:0.206670:0.303152:0.206670:0.286683:0.191258:0.286683:0.000000:0.000000
= (2, 0),  = (0, 2),  = (–2, 0) y :@0.209059:0.303037:0.455394:0.303037:0.455394:0.286539:0.209059:0.286539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B :@0.273867:0.303152:0.287199:0.303152:0.287199:0.286683:0.273867:0.286683:0.000000:0.000000
C :@0.354358:0.303152:0.368537:0.303152:0.368537:0.286683:0.354358:0.286683:0.000000:0.000000
 :@0.451243:0.303037:0.455385:0.303037:0.455385:0.286539:0.451243:0.286539:0.000000
D :@0.162957:0.320503:0.178736:0.320503:0.178736:0.304034:0.162957:0.304034:0.000000:0.000000
= (0, –2).:@0.178736:0.320387:0.242735:0.320387:0.242735:0.303890:0.178736:0.303890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.125989:0.280861:0.137411:0.280861:0.137411:0.260231:0.125989:0.260231:0.000000
 :@0.132075:0.511599:0.136217:0.511599:0.136217:0.495101:0.132075:0.495101:0.000000
Sean  = (2, 1),  = (4, 5). La recta que :@0.162938:0.517296:0.455365:0.517296:0.455365:0.500798:0.162938:0.500798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A :@0.202470:0.517411:0.217883:0.517411:0.217883:0.500943:0.202470:0.500943:0.000000:0.000000
B :@0.282460:0.517411:0.295791:0.517411:0.295791:0.500943:0.282460:0.500943:0.000000:0.000000
pasa por    y    es    Sea  la recta que :@0.162938:0.534647:0.455374:0.534649:0.455374:0.518151:0.162938:0.518149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.229866:0.534762:0.241136:0.534762:0.241136:0.518293:0.229866:0.518293:0.000000
B:@0.267837:0.534762:0.277027:0.534762:0.277027:0.518293:0.267837:0.518293:0.000000
L.:@0.305557:0.534762:0.316442:0.534762:0.316442:0.518293:0.305557:0.518293:0.000000:0.000000
L  :@0.349984:0.534762:0.366676:0.534765:0.366676:0.518296:0.349984:0.518293:0.000000:0.000000:0.000000
1:@0.357829:0.537993:0.362535:0.537993:0.362535:0.528392:0.357829:0.528392:0.000000
pasa por     y   = (1, –1), :@0.162946:0.552000:0.366946:0.552000:0.366946:0.535502:0.162946:0.535502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.238312:0.552115:0.247502:0.552115:0.247502:0.535647:0.238312:0.535647:0.000000
C :@0.279181:0.552115:0.293361:0.552115:0.293361:0.535647:0.279181:0.535647:0.000000:0.000000
demuestra :@0.368757:0.552462:0.455239:0.552462:0.455239:0.535517:0.368757:0.535517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que  = :@0.162927:0.569351:0.221012:0.569351:0.221012:0.552853:0.162927:0.552853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L  L .:@0.194079:0.569466:0.236424:0.569466:0.236424:0.552997:0.194079:0.552997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.228865:0.572695:0.233571:0.572695:0.233571:0.563093:0.228865:0.563093:0.000000
10:@0.120278:0.512471:0.143122:0.512471:0.143122:0.491841:0.120278:0.491841:0.000000:0.000000
 :@0.132075:0.614242:0.136217:0.614242:0.136217:0.597745:0.132075:0.597745:0.000000
Sean  = (–2, –5),  = (2, 3)    . :@0.162938:0.627487:0.407335:0.627484:0.407335:0.610987:0.162938:0.610989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.200736:0.627603:0.213856:0.627603:0.213856:0.611134:0.200736:0.611134:0.000000:0.000000
 b :@0.292497:0.627603:0.310048:0.627603:0.310048:0.611134:0.292497:0.611134:0.000000:0.000000:0.000000
R:@0.381577:0.626516:0.395486:0.626516:0.395486:0.613069:0.381577:0.613069:0.000000
2:@0.395486:0.621133:0.400440:0.621133:0.400440:0.611514:0.395486:0.611514:0.000000
11:@0.120278:0.615114:0.143122:0.615114:0.143122:0.594485:0.120278:0.594485:0.000000:0.000000
 :@0.132075:0.790265:0.136217:0.790265:0.136217:0.773767:0.132075:0.773767:0.000000
Determina:@0.157910:0.798940:0.240958:0.798940:0.240958:0.781994:0.157910:0.781994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación general de la recta :@0.240962:0.798477:0.462451:0.798477:0.462451:0.781980:0.240962:0.781980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que pasa por el punto A(–2, 5) y es parale-:@0.157910:0.815828:0.460565:0.815828:0.460565:0.799330:0.157910:0.799330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la a la recta de ecuación 3x – y – 1 = 0.:@0.157910:0.833179:0.432686:0.833179:0.432686:0.816681:0.157910:0.816681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.120278:0.791137:0.143122:0.791137:0.143122:0.770507:0.120278:0.770507:0.000000:0.000000
 :@0.132075:0.883305:0.136217:0.883305:0.136217:0.866807:0.132075:0.866807:0.000000
Encuentra:@0.157910:0.891980:0.236664:0.891980:0.236664:0.875034:0.157910:0.875034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de la recta que es :@0.236666:0.891518:0.452549:0.891518:0.452549:0.875020:0.236666:0.875020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tangente a la circunferencia en el punto :@0.157910:0.908868:0.442205:0.908868:0.442205:0.892371:0.157910:0.892371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P(4, 8), cuyo centro está en C(2, 5).:@0.157910:0.926219:0.402403:0.926219:0.402403:0.909721:0.157910:0.909721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13:@0.120278:0.884177:0.143122:0.884177:0.143122:0.863547:0.120278:0.863547:0.000000:0.000000
Los vértices de un triángulo  son los pun-:@0.163018:0.141164:0.451304:0.141164:0.451304:0.124666:0.163018:0.124666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T :@0.353109:0.141280:0.366671:0.141280:0.366671:0.124811:0.353109:0.124811:0.000000:0.000000
tos  = (–2, 1),  = (2, 3),  = (4, –3). :@0.163018:0.158515:0.404277:0.158515:0.404277:0.142017:0.163018:0.142017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u :@0.187042:0.158631:0.200008:0.158631:0.200008:0.142162:0.187042:0.142162:0.000000:0.000000
v :@0.262061:0.158631:0.273601:0.158631:0.273601:0.142162:0.262061:0.142162:0.000000:0.000000
w :@0.325521:0.158631:0.341492:0.158631:0.341492:0.142162:0.325521:0.142162:0.000000:0.000000
Obtén :@0.403526:0.158978:0.455367:0.158978:0.455367:0.142032:0.403526:0.142032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las ecuaciones cartesianas de las rectas que :@0.163038:0.175866:0.455465:0.175866:0.455465:0.159368:0.163038:0.159368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pasan por los lados del triángulo :@0.163038:0.193216:0.384683:0.193216:0.384683:0.176719:0.163038:0.176719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T.:@0.384297:0.193332:0.395009:0.193332:0.395009:0.176863:0.384297:0.176863:0.000000:0.000000
8:@0.126066:0.136338:0.137488:0.136338:0.137488:0.115708:0.126066:0.115708:0.000000
a) :@0.131700:0.350425:0.150328:0.350425:0.150328:0.333710:0.131700:0.333710:0.000000:0.000000:0.000000
En el sistema de coordenadas rectangulares :@0.155435:0.350208:0.466316:0.350208:0.466316:0.333710:0.155435:0.333710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representa:@0.155435:0.368021:0.237794:0.368021:0.237794:0.351076:0.155435:0.351076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 estos puntos y:@0.237794:0.367559:0.344540:0.367559:0.344540:0.351061:0.237794:0.351061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 traza :@0.344540:0.368021:0.391989:0.368021:0.391989:0.351076:0.344540:0.351076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el cuadra-:@0.391989:0.367559:0.461922:0.367559:0.461922:0.351061:0.391989:0.351061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do. Siempre que sea posible, :@0.155435:0.384909:0.359296:0.384909:0.359296:0.368412:0.155435:0.368412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina:@0.359296:0.385372:0.439649:0.385372:0.439649:0.368426:0.359296:0.368426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.439655:0.384909:0.443797:0.384909:0.443797:0.368412:0.439655:0.368412:0.000000
las ecuaciones cartesianas de las rectas que :@0.155435:0.402260:0.463733:0.402260:0.463733:0.385763:0.155435:0.385763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contienen a los lados del cuadrado.:@0.155435:0.419611:0.404723:0.419611:0.404723:0.403113:0.155435:0.403113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.131700:0.437179:0.151793:0.437179:0.151793:0.420464:0.131700:0.420464:0.000000:0.000000:0.000000
Halla:@0.155435:0.437424:0.195138:0.437424:0.195138:0.420479:0.155435:0.420479:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones de las rectas que con-:@0.195138:0.436962:0.458606:0.436962:0.458606:0.420464:0.195138:0.420464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen a las diagonales del cuadrado.:@0.155435:0.454313:0.413643:0.454313:0.413643:0.437815:0.155435:0.437815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.135013:0.661871:0.153642:0.661871:0.153642:0.645156:0.135013:0.645156:0.000000:0.000000:0.000000
Obtén:@0.158748:0.662117:0.208106:0.662117:0.208106:0.645171:0.158748:0.645171:0.000000:0.000000:0.000000:0.000000:0.000000
 la recta :@0.208106:0.661654:0.268057:0.661654:0.268057:0.645156:0.208106:0.645156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L :@0.268057:0.661770:0.280040:0.661770:0.280040:0.645301:0.268057:0.645301:0.000000:0.000000
:@0.280040:0.661437:0.296088:0.661437:0.296088:0.646790:0.280040:0.646790:0.000000
 :@0.296088:0.661654:0.300230:0.661654:0.300230:0.645156:0.296088:0.645156:0.000000
R:@0.300232:0.660685:0.314142:0.660685:0.314142:0.647238:0.300232:0.647238:0.000000
2:@0.314162:0.655298:0.319115:0.655298:0.319115:0.645680:0.314162:0.645680:0.000000
 :@0.319114:0.661767:0.323256:0.661767:0.323256:0.645298:0.319114:0.645298:0.000000
que pasa por    y  :@0.323256:0.661652:0.453545:0.661652:0.453545:0.645154:0.323256:0.645154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.420177:0.661767:0.429155:0.661767:0.429155:0.645298:0.420177:0.645298:0.000000
b.:@0.453545:0.661767:0.465239:0.661767:0.465239:0.645298:0.453545:0.645298:0.000000:0.000000
b) :@0.135034:0.679219:0.155128:0.679219:0.155128:0.662505:0.135034:0.662505:0.000000:0.000000:0.000000
Sea   la recta que pasa por los puntos:@0.158770:0.679002:0.426142:0.679002:0.426142:0.662505:0.158770:0.662505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.190211:0.679118:0.198052:0.679118:0.198052:0.662649:0.190211:0.662649:0.000000
1:@0.197858:0.682279:0.202812:0.682279:0.202812:0.672661:0.197858:0.672661:0.000000
 :@0.202699:0.682346:0.205114:0.682346:0.205114:0.672745:0.202699:0.672745:0.000000
 :@0.135030:0.696353:0.139172:0.696353:0.139172:0.679855:0.135030:0.679855:0.000000
u :@0.158765:0.696469:0.171634:0.696469:0.171634:0.680000:0.158765:0.680000:0.000000:0.000000
= (0, –1),   = (1, 1)    ,:@0.171037:0.696353:0.335058:0.696353:0.335058:0.679855:0.171037:0.679855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v :@0.237078:0.696469:0.248522:0.696469:0.248522:0.680000:0.237078:0.680000:0.000000:0.000000
R:@0.314200:0.695384:0.328110:0.695384:0.328110:0.681937:0.314200:0.681937:0.000000
2:@0.327631:0.690000:0.332584:0.690000:0.332584:0.680382:0.327631:0.680382:0.000000
 prueba :@0.334576:0.696816:0.393933:0.696816:0.393933:0.679870:0.334576:0.679870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que   =  .:@0.393335:0.696353:0.465571:0.696353:0.465571:0.679855:0.393335:0.679855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L  L:@0.425990:0.696469:0.458625:0.696469:0.458625:0.680000:0.425990:0.680000:0.000000:0.000000:0.000000:0.000000
1:@0.458144:0.699630:0.463097:0.699630:0.463097:0.690012:0.458144:0.690012:0.000000
c) :@0.135018:0.713921:0.153436:0.713921:0.153436:0.697206:0.135018:0.697206:0.000000:0.000000:0.000000
Sea :@0.158753:0.713704:0.187015:0.713704:0.187015:0.697206:0.158753:0.697206:0.000000:0.000000:0.000000:0.000000
L:@0.191851:0.713819:0.199692:0.713819:0.199692:0.697351:0.191851:0.697351:0.000000
2 :@0.199512:0.716980:0.206767:0.716980:0.206767:0.707362:0.199512:0.707362:0.000000:0.000000
la recta que pasa por los puntos :@0.209471:0.713704:0.469745:0.713704:0.469745:0.697206:0.209471:0.697206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.465601:0.713704:0.469743:0.713704:0.469743:0.697206:0.465601:0.697206:0.000000
 :@0.465564:0.713704:0.469706:0.713704:0.469706:0.697206:0.465564:0.697206:0.000000
p :@0.158765:0.731170:0.172174:0.731170:0.172174:0.714701:0.158765:0.714701:0.000000:0.000000
= (–5, –11),   = (5, 9)    , :@0.172174:0.731055:0.374055:0.731055:0.374055:0.714557:0.172174:0.714557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q :@0.263452:0.731170:0.276765:0.731170:0.276765:0.714701:0.263452:0.714701:0.000000:0.000000
R:@0.348297:0.730086:0.362206:0.730086:0.362206:0.716639:0.348297:0.716639:0.000000
2:@0.362204:0.724702:0.367158:0.724702:0.367158:0.715083:0.362204:0.715083:0.000000
 :@0.135030:0.748405:0.139172:0.748405:0.139172:0.731908:0.135030:0.731908:0.000000
demuestra :@0.158765:0.748868:0.245247:0.748868:0.245247:0.731922:0.158765:0.731922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que  =  .:@0.245247:0.748405:0.318884:0.748405:0.318884:0.731908:0.245247:0.731908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L  L:@0.276399:0.748521:0.311172:0.748521:0.311172:0.732052:0.276399:0.732052:0.000000:0.000000:0.000000:0.000000
2:@0.311175:0.751682:0.316128:0.751682:0.316128:0.742064:0.311175:0.742064:0.000000
 :@0.523428:0.331263:0.527570:0.331263:0.527570:0.314765:0.523428:0.314765:0.000000
Los vértices de un triángulo  son: :@0.554291:0.336960:0.783894:0.336960:0.783894:0.320462:0.554291:0.320462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T :@0.739755:0.337075:0.753222:0.337075:0.753222:0.320607:0.739755:0.320607:0.000000:0.000000
P :@0.554291:0.354426:0.566736:0.354426:0.566736:0.337957:0.554291:0.337957:0.000000:0.000000
= (–3, –1),  = (0, 3),  = (3, 0).:@0.566254:0.354311:0.769407:0.354311:0.769407:0.337813:0.566254:0.337813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q :@0.639116:0.354426:0.654663:0.354426:0.654663:0.337957:0.639116:0.337957:0.000000:0.000000
R :@0.707006:0.354426:0.720242:0.354426:0.720242:0.337957:0.707006:0.337957:0.000000:0.000000
14:@0.511631:0.332135:0.534474:0.332135:0.534474:0.311505:0.511631:0.311505:0.000000:0.000000
a) :@0.522900:0.383800:0.541530:0.383800:0.541530:0.367085:0.522900:0.367085:0.000000:0.000000:0.000000
Representen :@0.546635:0.384046:0.646523:0.384046:0.646523:0.367100:0.546635:0.367100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráficamente este triángulo. :@0.646523:0.383583:0.846880:0.383583:0.846880:0.367085:0.646523:0.367085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.522900:0.408279:0.542995:0.408278:0.542995:0.391564:0.522900:0.391564:0.000000:0.000000:0.000000
Hallen :@0.546635:0.408524:0.600460:0.408524:0.600460:0.391578:0.546635:0.391578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(siempre que sea posible) las ecua-:@0.600460:0.408061:0.846666:0.408061:0.846666:0.391564:0.600460:0.391564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones cartesianas de las rectas que contie-:@0.546635:0.425412:0.849595:0.425412:0.849595:0.408915:0.546635:0.408915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nen a los lados del triángulo T.:@0.546635:0.442763:0.760518:0.442763:0.760518:0.426265:0.546635:0.426265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los vértices de un cuadrilátero son los :@0.553668:0.715323:0.827404:0.715323:0.827404:0.698825:0.553668:0.698825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos :@0.553668:0.732674:0.608342:0.732674:0.608342:0.716176:0.553668:0.716176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u = :@0.608342:0.732790:0.636720:0.732790:0.636720:0.716321:0.608342:0.716321:0.000000:0.000000:0.000000:0.000000
(–2, 3),  = (1, –2), :@0.636720:0.732674:0.769978:0.732674:0.769978:0.716176:0.636720:0.716176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v :@0.689911:0.732790:0.701837:0.732790:0.701837:0.716321:0.689911:0.716321:0.000000:0.000000
w :@0.553668:0.750140:0.570024:0.750140:0.570024:0.733672:0.553668:0.733672:0.000000:0.000000
= (4, –1) y  = (3, –3).:@0.570024:0.750025:0.722161:0.750025:0.722161:0.733527:0.570024:0.733527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z :@0.647374:0.750140:0.658162:0.750140:0.658162:0.733672:0.647374:0.733672:0.000000:0.000000
16:@0.511003:0.710497:0.533846:0.710497:0.533846:0.689867:0.511003:0.689867:0.000000:0.000000
a) :@0.522900:0.780086:0.541530:0.780086:0.541530:0.763372:0.522900:0.763372:0.000000:0.000000:0.000000
Calculen:@0.546635:0.780332:0.613678:0.780332:0.613678:0.763386:0.546635:0.763386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la pendiente de cada uno de los :@0.613678:0.779869:0.860479:0.779869:0.860479:0.763372:0.613678:0.763372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados del cuadrilátero.:@0.546635:0.797220:0.700873:0.797220:0.700873:0.780722:0.546635:0.780722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.522900:0.821916:0.542995:0.821917:0.542995:0.805202:0.522900:0.805201:0.000000:0.000000:0.000000
Determinen:@0.546635:0.822162:0.639782:0.822162:0.639782:0.805216:0.546635:0.805216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  las  ecuaciones  cartesianas :@0.639782:0.821700:0.860435:0.821700:0.860435:0.805202:0.639782:0.805202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.856285:0.821700:0.860427:0.821700:0.860427:0.805202:0.856285:0.805202:0.000000
de las rectas que contienen a los lados del :@0.546635:0.839050:0.860462:0.839050:0.860462:0.822553:0.546635:0.822553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrilátero.:@0.546635:0.856401:0.633829:0.856401:0.633829:0.839903:0.546635:0.839903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.522900:0.881097:0.541318:0.881096:0.541318:0.864382:0.522900:0.864382:0.000000:0.000000:0.000000
Obtengan:@0.546635:0.881342:0.623889:0.881342:0.623889:0.864396:0.546635:0.864396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones de las rectas que :@0.623889:0.880880:0.860406:0.880880:0.860406:0.864382:0.623889:0.864382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contienen a las diagonales del cuadrilátero.:@0.546635:0.898230:0.848329:0.898230:0.848329:0.881733:0.546635:0.881733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.522900:0.922926:0.543187:0.922927:0.543187:0.906212:0.522900:0.906212:0.000000:0.000000:0.000000
Hallen :@0.546635:0.923172:0.600460:0.923172:0.600460:0.906226:0.546635:0.906226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el punto de intersección de las dia-:@0.601599:0.922710:0.856266:0.922710:0.856266:0.906212:0.601599:0.906212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gonales del cuadrilátero.:@0.546635:0.940060:0.716976:0.940060:0.716976:0.923563:0.546635:0.923563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.523428:0.489783:0.527570:0.489783:0.527570:0.473286:0.523428:0.473286:0.000000
Sean ,  las rectas definidas como::@0.554291:0.495480:0.809348:0.495483:0.809348:0.478985:0.554291:0.478983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.587058:0.495599:0.591200:0.495599:0.595069:0.479130:0.590927:0.479130:0.000000
L L:@0.592094:0.495599:0.619028:0.495599:0.619028:0.479130:0.592094:0.479130:0.000000:0.000000:0.000000
1:@0.599454:0.498759:0.604407:0.498759:0.604407:0.489141:0.599454:0.489141:0.000000
 :@0.607160:0.495946:0.611187:0.495946:0.611187:0.479000:0.607160:0.479000:0.000000
2:@0.618546:0.498759:0.623499:0.498759:0.623499:0.489141:0.618546:0.489141:0.000000
  = {(:@0.554299:0.512834:0.600351:0.512834:0.600351:0.496336:0.554299:0.496336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.558441:0.512949:0.566282:0.512949:0.566282:0.496481:0.558441:0.496481:0.000000
1:@0.566279:0.516178:0.570985:0.516178:0.570985:0.506577:0.566279:0.506577:0.000000
 :@0.570985:0.516110:0.573400:0.516110:0.573400:0.506492:0.570985:0.506492:0.000000
x, y:@0.600351:0.512949:0.622621:0.512949:0.622621:0.496481:0.600351:0.496481:0.000000:0.000000:0.000000:0.000000
)     |3  –  = 4},:@0.622621:0.512834:0.756012:0.512834:0.756012:0.496336:0.622621:0.496336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.649357:0.511865:0.663267:0.511865:0.663267:0.498418:0.649357:0.498418:0.000000
2:@0.663267:0.506481:0.668220:0.506481:0.668220:0.496862:0.663267:0.496862:0.000000
x y :@0.685867:0.512949:0.723955:0.512949:0.723955:0.496481:0.685867:0.496481:0.000000:0.000000:0.000000:0.000000
  = {(:@0.554305:0.530184:0.600351:0.530184:0.600351:0.513687:0.554305:0.513687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.558447:0.530300:0.566288:0.530300:0.566288:0.513831:0.558447:0.513831:0.000000
2:@0.566279:0.533529:0.570985:0.533529:0.570985:0.523927:0.566279:0.523927:0.000000
 :@0.570985:0.533461:0.573400:0.533461:0.573400:0.523843:0.570985:0.523843:0.000000
x, y:@0.600351:0.530300:0.622621:0.530300:0.622621:0.513831:0.600351:0.513831:0.000000:0.000000:0.000000:0.000000
)     |–2  + 5 = –7}.:@0.622621:0.530184:0.785816:0.530184:0.785816:0.513687:0.622621:0.513687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.649357:0.529216:0.663267:0.529216:0.663267:0.515769:0.649357:0.515769:0.000000
2:@0.663267:0.523831:0.668220:0.523831:0.668220:0.514213:0.663267:0.514213:0.000000
x:@0.696367:0.530300:0.703842:0.530300:0.703842:0.513831:0.696367:0.513831:0.000000
y :@0.731430:0.530300:0.743259:0.530300:0.743259:0.513831:0.731430:0.513831:0.000000:0.000000
15:@0.511631:0.490655:0.534474:0.490655:0.534474:0.470026:0.511631:0.470026:0.000000:0.000000
a) :@0.522900:0.556420:0.541145:0.556420:0.541145:0.539705:0.522900:0.539705:0.000000:0.000000:0.000000
Obtengan:@0.546635:0.556666:0.622538:0.556666:0.622538:0.539720:0.546635:0.539720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las pendientes de las rectas  y  . :@0.622347:0.556203:0.861067:0.556203:0.861067:0.539705:0.622347:0.539705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L L:@0.815536:0.556319:0.849522:0.556319:0.849522:0.539850:0.815536:0.539850:0.000000:0.000000:0.000000
1 :@0.823202:0.559480:0.830458:0.559480:0.830458:0.549861:0.823202:0.549861:0.000000:0.000000
2:@0.849331:0.559480:0.854284:0.559480:0.854284:0.549861:0.849331:0.549861:0.000000
b) :@0.522904:0.580899:0.542998:0.580898:0.542998:0.564184:0.522904:0.564184:0.000000:0.000000:0.000000
Representen:@0.546640:0.581144:0.642502:0.581144:0.642502:0.564198:0.546640:0.564198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente estas rectas.:@0.642504:0.580681:0.828123:0.580681:0.828123:0.564184:0.642504:0.564184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.522905:0.605377:0.541323:0.605378:0.541323:0.588663:0.522905:0.588663:0.000000:0.000000:0.000000
Demuestren:@0.546640:0.605624:0.641596:0.605624:0.641596:0.588678:0.546640:0.588678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que (1, –1)   L    L  y que :@0.641598:0.605161:0.861082:0.605160:0.861082:0.588662:0.641598:0.588663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.762858:0.608438:0.767811:0.608438:0.767811:0.598820:0.762858:0.598820:0.000000
:@0.774129:0.604943:0.790177:0.604943:0.790177:0.590296:0.774129:0.590296:0.000000
2:@0.804516:0.608438:0.809469:0.608438:0.809469:0.598820:0.804516:0.598820:0.000000
este punto es único. Para el efecto :@0.546653:0.622510:0.801538:0.622510:0.801538:0.606013:0.546653:0.606013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
supon-:@0.803138:0.622973:0.856982:0.622973:0.856982:0.606027:0.803138:0.606027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gan :@0.546653:0.640324:0.578537:0.640324:0.578537:0.623378:0.546653:0.623378:0.000000:0.000000:0.000000:0.000000
que existe otro punto (:@0.579751:0.639861:0.748727:0.639861:0.748727:0.623364:0.579751:0.623364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b:@0.748727:0.639977:0.774908:0.639977:0.774908:0.623508:0.748727:0.623508:0.000000:0.000000:0.000000:0.000000
)   L    L  :@0.774889:0.639861:0.861068:0.639861:0.861068:0.623364:0.774889:0.623364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.812155:0.643139:0.817109:0.643139:0.817109:0.633521:0.812155:0.633521:0.000000
:@0.822502:0.639644:0.838550:0.639644:0.838550:0.624997:0.822502:0.624997:0.000000
2:@0.851972:0.643139:0.856926:0.643139:0.856926:0.633521:0.851972:0.633521:0.000000
 :@0.856926:0.639861:0.861068:0.639861:0.861068:0.623364:0.856926:0.623364:0.000000
y :@0.546640:0.657212:0.558604:0.657212:0.558604:0.640714:0.546640:0.640714:0.000000:0.000000
muestren:@0.558604:0.657675:0.632079:0.657675:0.632079:0.640729:0.558604:0.640729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que   = 1, b = –1.:@0.632079:0.657212:0.761157:0.657212:0.761157:0.640714:0.632079:0.640714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.667373:0.657328:0.676351:0.657328:0.676351:0.640859:0.667373:0.640859:0.000000
Indaguen, trabajen :@0.521730:0.299035:0.671014:0.299035:0.671014:0.282089:0.521730:0.282089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en equipo y :@0.671014:0.298572:0.759249:0.298572:0.759249:0.282074:0.671014:0.282074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelvan:@0.759249:0.299035:0.832646:0.299035:0.832646:0.282089:0.759249:0.282089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.832652:0.298572:0.835407:0.298572:0.835407:0.282074:0.832652:0.282074:0.000000
Competencia :@0.578749:0.149401:0.676372:0.149401:0.676372:0.133928:0.578749:0.133928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.578749:0.161969:0.689125:0.161969:0.689125:0.146496:0.578749:0.146496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sin importar las diferencias o similitudes :@0.578987:0.186442:0.842413:0.186442:0.842413:0.171379:0.578987:0.171379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que podamos tener unos con otros, siempre :@0.532444:0.202284:0.817397:0.202284:0.817397:0.187221:0.532444:0.187221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debemos tener en cuenta que los comentarios y :@0.532444:0.218126:0.841122:0.218126:0.841122:0.203063:0.532444:0.203063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las visiones positivas nos estimulan y favorecen :@0.532444:0.233968:0.830925:0.233968:0.830925:0.218905:0.532444:0.218905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nuestro aprendizaje.:@0.532444:0.249810:0.659053:0.249810:0.659053:0.234747:0.532444:0.234747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  = –  + 2;   =   + 2;   = –  – 2;   =   – 2:@0.153225:0.465528:0.339714:0.465528:0.339714:0.455486:0.153225:0.455486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y:@0.161621:0.465599:0.168821:0.465599:0.168821:0.455574:0.161621:0.455574:0.000000:0.000000
x:@0.186834:0.465599:0.191384:0.465599:0.191384:0.455574:0.186834:0.455574:0.000000
y x:@0.212374:0.465599:0.233224:0.465599:0.233224:0.455574:0.212374:0.455574:0.000000:0.000000:0.000000
y:@0.254215:0.465599:0.258894:0.465599:0.258894:0.455574:0.254215:0.455574:0.000000
x:@0.276906:0.465599:0.281456:0.465599:0.281456:0.455574:0.276906:0.455574:0.000000
y x:@0.302259:0.465599:0.323109:0.465599:0.323109:0.455574:0.302259:0.455574:0.000000:0.000000:0.000000
b)   = 0;   = 0:@0.153225:0.474329:0.212152:0.474329:0.212152:0.464287:0.153225:0.464287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.165139:0.474400:0.169689:0.474400:0.169689:0.464375:0.165139:0.464375:0.000000
y:@0.190680:0.474400:0.195359:0.474400:0.195359:0.464375:0.190680:0.464375:0.000000
L y:@0.247437:0.564840:0.261087:0.564840:0.261087:0.554815:0.247437:0.554815:0.000000:0.000000:0.000000
:   = 2  – 3:@0.252210:0.564770:0.299034:0.564770:0.299034:0.554727:0.252210:0.554727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.277880:0.564840:0.282429:0.564840:0.282429:0.554815:0.277880:0.554815:0.000000
L y:@0.247437:0.573641:0.264101:0.573645:0.264101:0.563620:0.247437:0.563617:0.000000:0.000000:0.000000
1:@0.252208:0.575569:0.255223:0.575569:0.255223:0.569715:0.252208:0.569715:0.000000
:   = 2  – 3:@0.255224:0.573574:0.302048:0.573574:0.302048:0.563532:0.255224:0.563532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.280893:0.573645:0.285443:0.573645:0.285443:0.563620:0.280893:0.563620:0.000000
L y:@0.377216:0.724593:0.390866:0.724593:0.390866:0.714568:0.377216:0.714568:0.000000:0.000000:0.000000
:   = 2  – 1:@0.381989:0.724522:0.428814:0.724522:0.428814:0.714480:0.381989:0.714480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.407659:0.724593:0.412209:0.724593:0.412209:0.714568:0.407659:0.714568:0.000000
L y:@0.377216:0.733394:0.393875:0.733396:0.393875:0.723372:0.377216:0.723369:0.000000:0.000000:0.000000
1:@0.381982:0.735321:0.384997:0.735321:0.384997:0.729466:0.381982:0.729466:0.000000
:   = 2  – 1:@0.384998:0.733326:0.431822:0.733326:0.431822:0.723284:0.384998:0.723284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.410667:0.733396:0.415217:0.733396:0.415217:0.723372:0.410667:0.723372:0.000000
L y:@0.377211:0.742197:0.393875:0.742197:0.393875:0.732173:0.377211:0.732173:0.000000:0.000000:0.000000
2:@0.381982:0.744122:0.384997:0.744122:0.384997:0.738267:0.381982:0.738267:0.000000
:   = 2  – 1:@0.384998:0.742127:0.431822:0.742127:0.431822:0.732085:0.384998:0.732085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.410667:0.742197:0.415217:0.742197:0.415217:0.732173:0.410667:0.732173:0.000000
L L:@0.377211:0.750998:0.398378:0.750998:0.398378:0.740974:0.377211:0.740974:0.000000:0.000000:0.000000
 = :@0.381984:0.750928:0.393605:0.750928:0.393605:0.740886:0.381984:0.740886:0.000000:0.000000:0.000000
2:@0.398376:0.752923:0.401391:0.752923:0.401391:0.747068:0.398376:0.747068:0.000000
, 05 +:@0.186128:0.211175:0.206885:0.211174:0.206885:0.201506:0.186128:0.201506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.164225:0.211242:0.168730:0.211242:0.168730:0.201591:0.164225:0.201591:0.000000
x:@0.193862:0.211242:0.198243:0.211242:0.198243:0.201591:0.193862:0.201591:0.000000
y:@0.164225:0.223953:0.168730:0.223953:0.168730:0.214301:0.164225:0.214301:0.000000
x:@0.192282:0.223953:0.196662:0.223953:0.196662:0.214301:0.192282:0.214301:0.000000
y:@0.164225:0.238960:0.168730:0.238960:0.168730:0.229308:0.164225:0.229308:0.000000
x:@0.197927:0.238960:0.202307:0.238960:0.202307:0.229308:0.197927:0.229308:0.000000
2:@0.209183:0.211175:0.214162:0.211175:0.214162:0.201506:0.209183:0.201506:0.000000
3 –:@0.187314:0.223885:0.187304:0.223884:0.187304:0.214216:0.187314:0.214217:0.000000:0.000000:0.000000
9:@0.207614:0.223885:0.212593:0.223885:0.212593:0.214217:0.207614:0.214217:0.000000
3:@0.190137:0.242442:0.195116:0.242442:0.195116:0.232774:0.190137:0.232774:0.000000
2:@0.190127:0.234553:0.195106:0.234553:0.195106:0.224884:0.190127:0.224884:0.000000
3:@0.211262:0.242447:0.216241:0.242447:0.216241:0.232779:0.211262:0.232779:0.000000
1:@0.211262:0.234553:0.216241:0.234553:0.216241:0.224884:0.211262:0.224884:0.000000
–:@0.181155:0.238892:0.187308:0.238892:0.187308:0.229223:0.181155:0.229223:0.000000
–:@0.202290:0.238892:0.208444:0.238892:0.208444:0.229223:0.202290:0.229223:0.000000
=:@0.171783:0.211174:0.178117:0.211174:0.178117:0.201506:0.171783:0.201506:0.000000
=:@0.171783:0.223885:0.178117:0.223885:0.178117:0.214216:0.171783:0.214216:0.000000
+:@0.198971:0.223885:0.205305:0.223885:0.205305:0.214216:0.198971:0.214216:0.000000
=:@0.171780:0.238892:0.178114:0.238892:0.178114:0.229223:0.171780:0.229223:0.000000
3 –  + 11 = 0:@0.155862:0.848887:0.220452:0.848887:0.220452:0.838845:0.155862:0.838845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y :@0.161033:0.848957:0.184217:0.848957:0.184217:0.838933:0.161033:0.838933:0.000000:0.000000:0.000000:0.000000:0.000000
2x + 3y – 32 = 0:@0.156706:0.943156:0.226867:0.943156:0.226867:0.933113:0.156706:0.933113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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