145:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial, métrico, numérico y variacional:@0.444620:0.043661:0.926912:0.043661:0.926912:0.024916:0.444620:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Sean  ,  ,  ,   cuatro puntos cualesquiera del plano, tales que los bipuntos ( ,  ) y (C, D) son representantes de :@0.073089:0.136836:0.930861:0.136836:0.930861:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B C D:@0.143802:0.136836:0.207031:0.136836:0.207031:0.120153:0.143802:0.120153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.669016:0.136836:0.696057:0.136836:0.696057:0.120153:0.669016:0.120153:0.000000:0.000000:0.000000
los vectores :@0.103141:0.153478:0.196596:0.153478:0.196596:0.136808:0.103141:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB CD:@0.196484:0.153478:0.254651:0.153478:0.254651:0.136795:0.196484:0.136795:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.216364:0.153478:0.232691:0.153478:0.232691:0.136808:0.216364:0.136808:0.000000:0.000000:0.000000
.:@0.254595:0.153478:0.258406:0.153478:0.258406:0.136808:0.254595:0.136808:0.000000
a.  Realiza la representación geométrica de     :@0.104633:0.198710:0.469275:0.198710:0.469275:0.182276:0.104633:0.182276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.427454:0.198710:0.446101:0.198710:0.446101:0.182304:0.427454:0.182304:0.000000:0.000000
5:@0.450003:0.198155:0.465336:0.198155:0.465336:0.184439:0.450003:0.184439:0.000000
CD:@0.469202:0.198710:0.490554:0.198710:0.490554:0.182304:0.469202:0.182304:0.000000:0.000000
.:@0.490499:0.198710:0.493702:0.198710:0.493702:0.182276:0.490499:0.182276:0.000000
b.  Realiza la representación geométrica de   de la misma dirección y longitud, con sentido opuesto a :@0.104633:0.243942:0.860566:0.243942:0.860566:0.227508:0.104633:0.227508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.427454:0.243942:0.446101:0.243942:0.446101:0.227535:0.427454:0.227535:0.000000:0.000000
CD:@0.860117:0.243942:0.881469:0.243942:0.881469:0.227535:0.860117:0.227535:0.000000:0.000000
.:@0.881414:0.243942:0.884617:0.243942:0.884617:0.227508:0.881414:0.227508:0.000000
c.  Realiza la representación geométrica de   de la misma dirección y sentido, con diferente longitud a :@0.104633:0.289175:0.865247:0.289175:0.865247:0.272741:0.104633:0.272741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.427454:0.289175:0.446101:0.289175:0.446101:0.272768:0.427454:0.272768:0.000000:0.000000
CD.:@0.864810:0.289175:0.888876:0.289175:0.888876:0.272768:0.864810:0.272768:0.000000:0.000000:0.000000
d.  Identifica cuáles de los siguientes vectores tienen la misma longitud, cuáles el mismo sentido y cuáles son :@0.104633:0.334406:0.931218:0.334406:0.931218:0.317973:0.104633:0.317973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equipolentes.:@0.134760:0.351048:0.233408:0.351048:0.233408:0.334614:0.134760:0.334614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–12 –10:@0.290129:0.622631:0.347804:0.622631:0.347804:0.607736:0.290129:0.607736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.535977:0.622631:0.544119:0.622631:0.544119:0.607736:0.535977:0.607736:0.000000
2:@0.492000:0.586531:0.500141:0.586531:0.500141:0.571636:0.492000:0.571636:0.000000
10:@0.487929:0.485648:0.504212:0.485648:0.504212:0.470754:0.487929:0.470754:0.000000:0.000000
6:@0.492000:0.537083:0.500141:0.537083:0.500141:0.522188:0.492000:0.522188:0.000000
14:@0.487929:0.432618:0.504212:0.432618:0.504212:0.417723:0.487929:0.417723:0.000000:0.000000
4:@0.492000:0.561707:0.500141:0.561707:0.500141:0.546812:0.492000:0.546812:0.000000
12:@0.487929:0.457241:0.504212:0.457241:0.504212:0.442347:0.487929:0.442347:0.000000:0.000000
8:@0.492000:0.512271:0.500141:0.512271:0.500141:0.497376:0.492000:0.497376:0.000000
16:@0.487929:0.407805:0.504212:0.407805:0.504212:0.392911:0.487929:0.392911:0.000000:0.000000
y:@0.514756:0.391515:0.521529:0.391515:0.521529:0.376646:0.514756:0.376646:0.000000
x:@0.698425:0.604166:0.705181:0.604166:0.705181:0.589297:0.698425:0.589297:0.000000
–4 –2:@0.430538:0.622631:0.480038:0.622643:0.480038:0.607749:0.430538:0.607736:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.668244:0.622631:0.684527:0.622631:0.684527:0.607736:0.668244:0.607736:0.000000:0.000000
–8:@0.360250:0.622631:0.376733:0.622631:0.376733:0.607736:0.360250:0.607736:0.000000:0.000000
6:@0.602027:0.622631:0.610169:0.622631:0.610169:0.607736:0.602027:0.607736:0.000000
0:@0.493534:0.622631:0.501676:0.622631:0.501676:0.607736:0.493534:0.607736:0.000000
A:@0.336910:0.604166:0.345869:0.604166:0.345869:0.589297:0.336910:0.589297:0.000000
B:@0.405079:0.553121:0.413087:0.553121:0.413087:0.538252:0.405079:0.538252:0.000000
N:@0.440331:0.553121:0.450524:0.553121:0.450524:0.538252:0.440331:0.538252:0.000000
O:@0.577152:0.451170:0.587913:0.451170:0.587913:0.436301:0.577152:0.436301:0.000000
H:@0.679989:0.553121:0.690049:0.553121:0.690049:0.538252:0.679989:0.538252:0.000000
G:@0.577386:0.579643:0.587262:0.579643:0.587262:0.564773:0.577386:0.564773:0.000000
E:@0.576268:0.603236:0.583625:0.603236:0.583625:0.588366:0.576268:0.588366:0.000000
F:@0.681441:0.577934:0.688731:0.577934:0.688731:0.563064:0.681441:0.563064:0.000000
C:@0.646706:0.451183:0.655681:0.451183:0.655681:0.436313:0.646706:0.436313:0.000000
D:@0.577302:0.399007:0.587746:0.399007:0.587746:0.384137:0.577302:0.384137:0.000000
I:@0.441615:0.500543:0.445086:0.500543:0.445086:0.485674:0.441615:0.485674:0.000000
J:@0.512320:0.451170:0.518026:0.451170:0.518026:0.436301:0.512320:0.436301:0.000000
M:@0.402793:0.501888:0.415372:0.501888:0.415372:0.487018:0.402793:0.487018:0.000000
K:@0.303610:0.500556:0.311434:0.500556:0.311434:0.485686:0.303610:0.485686:0.000000
L:@0.371078:0.449385:0.377985:0.449385:0.377985:0.434516:0.371078:0.434516:0.000000
4:@0.568994:0.622643:0.577136:0.622643:0.577136:0.607749:0.568994:0.607749:0.000000
–6:@0.395652:0.622643:0.412136:0.622643:0.412136:0.607749:0.395652:0.607749:0.000000:0.000000
8:@0.637430:0.622643:0.645571:0.622643:0.645571:0.607749:0.637430:0.607749:0.000000
2.  Dadas las rectas :@0.073089:0.700585:0.243581:0.700585:0.243581:0.683915:0.073089:0.683915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.247122:0.700585:0.255258:0.700585:0.255258:0.683901:0.247122:0.683901:0.000000
AB:@0.255708:0.703757:0.267641:0.703757:0.267641:0.694031:0.255708:0.694031:0.000000:0.000000
 || :@0.267903:0.700585:0.289145:0.700585:0.289145:0.683915:0.267903:0.683915:0.000000:0.000000:0.000000:0.000000
L:@0.292716:0.700585:0.300852:0.700585:0.300852:0.683901:0.292716:0.683901:0.000000
CD:@0.301304:0.703757:0.314472:0.703757:0.314472:0.694031:0.301304:0.694031:0.000000:0.000000
 y sean  ,  dos vectores no nulos del plano, tales que ( ,  ) :@0.314733:0.700585:0.838585:0.700585:0.838585:0.683915:0.314733:0.683915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v :@0.384073:0.700585:0.417142:0.700585:0.417142:0.684179:0.384073:0.684179:0.000000:0.000000:0.000000:0.000000
A B:@0.796175:0.700585:0.828461:0.700585:0.828461:0.683901:0.796175:0.683901:0.000000:0.000000:0.000000
[:@0.842156:0.700446:0.857489:0.700446:0.857489:0.686397:0.842156:0.686397:0.000000
 :@0.858115:0.700585:0.862018:0.700585:0.862018:0.683915:0.858115:0.683915:0.000000
AB:@0.865589:0.700585:0.886057:0.700585:0.886057:0.683901:0.865589:0.683901:0.000000:0.000000
 =  , :@0.886499:0.700585:0.930805:0.700585:0.930805:0.683915:0.886499:0.683915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.912950:0.700585:0.922633:0.700585:0.922633:0.683901:0.912950:0.683901:0.000000
 :@0.926903:0.700585:0.930805:0.700585:0.930805:0.683915:0.926903:0.683915:0.000000
( ,  )   :@0.103197:0.717226:0.166021:0.717226:0.166021:0.700557:0.103197:0.700557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C D:@0.108351:0.717226:0.137968:0.717226:0.137968:0.700543:0.108351:0.700543:0.000000:0.000000:0.000000
[:@0.146877:0.717088:0.162211:0.717088:0.162211:0.703039:0.146877:0.703039:0.000000
CD:@0.165947:0.717226:0.187999:0.717226:0.187999:0.700543:0.165947:0.700543:0.000000:0.000000
    , ¿cómo se deben disponer los vectores para que se cumplan las siguientes condiciones?:@0.187944:0.717226:0.885886:0.717226:0.885886:0.700557:0.187944:0.700557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.191773:0.716672:0.207106:0.716672:0.207106:0.702956:0.191773:0.702956:0.000000
v:@0.210843:0.717226:0.219218:0.717226:0.219218:0.700543:0.210843:0.700543:0.000000
a.  Sean de igual dirección y sentido, y de diferente longitud. Grafica en tu cuaderno.:@0.104633:0.762458:0.722452:0.762458:0.722452:0.746024:0.104633:0.746024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Sean de igual dirección y longitud, y de diferente sentido.:@0.104633:0.807690:0.549969:0.807690:0.549969:0.791256:0.104633:0.791256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000