﻿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 y sistemas geométricos, numéricos y pensamiento numérico:@0.193617:0.043660:0.926432:0.043660:0.926432:0.024915:0.193617:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.2 Reflexiones y homotecias:@0.073089:0.136836:0.300428:0.136836:0.300428:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.082198:0.173568:0.102390:0.173568:0.102390:0.157134:0.082198:0.157134:0.000000:0.000000:0.000000
reflexión:@0.102563:0.173568:0.167886:0.173568:0.167886:0.156898:0.102563:0.156898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de una figura en el plano es una transformación geométrica que consiste :@0.167651:0.173568:0.700176:0.173568:0.700176:0.157134:0.167651:0.157134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en crear una imagen :@0.082204:0.190210:0.235408:0.190210:0.235408:0.173776:0.082204:0.173776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
especular:@0.235666:0.190210:0.308096:0.190210:0.308096:0.173540:0.235666:0.173540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de la figura original, como si se reflejara en un espejo. :@0.307914:0.190210:0.699989:0.190210:0.699989:0.173776:0.307914:0.173776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta transformación se puede realizar con respecto a cualquier recta en el plano.:@0.082204:0.206852:0.647209:0.206852:0.647209:0.190418:0.082204:0.190418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.073093:0.247902:0.148875:0.247902:0.148875:0.231232:0.073093:0.231232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realiza la reflexión de la figura dada con respecto a la recta :@0.073093:0.282406:0.501691:0.282406:0.501691:0.265972:0.073093:0.265972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.501227:0.282406:0.511922:0.282406:0.511922:0.266000:0.501227:0.266000:0.000000:0.000000
5 :@0.511866:0.281851:0.531709:0.281851:0.531709:0.268135:0.511866:0.268135:0.000000:0.000000
2.:@0.531617:0.282406:0.543729:0.282406:0.543729:0.265972:0.531617:0.265972:0.000000:0.000000
Solución:@0.073093:0.316910:0.139226:0.316910:0.139226:0.300240:0.073093:0.300240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debido a que la figura se encuentra a la izquierda de la recta de reflexión, se debe :@0.073093:0.351414:0.710280:0.351414:0.710280:0.334980:0.073093:0.334980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entender que la figura resultante de la transformación estará al lado derecho.:@0.073093:0.368056:0.629789:0.368056:0.629789:0.351622:0.073093:0.351622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para poder representar la transformación, se toman las distancias perpendiculares de :@0.073093:0.402560:0.710138:0.402560:0.710138:0.386126:0.073093:0.386126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada uno de los puntos hasta la recta y estas se replican hacia el lado opuesto.:@0.073093:0.419201:0.638006:0.419201:0.638006:0.402768:0.073093:0.402768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.239717:0.637454:0.250868:0.637454:0.250868:0.627449:0.239717:0.627449:0.000000
1:@0.250868:0.637847:0.257401:0.637847:0.257401:0.625896:0.250868:0.625896:0.000000
2:@0.267053:0.659865:0.278205:0.659865:0.278205:0.649860:0.267053:0.649860:0.000000
1:@0.278205:0.660258:0.284738:0.660258:0.284738:0.648307:0.278205:0.648307:0.000000
0:@0.277589:0.637847:0.284122:0.637847:0.284122:0.625896:0.277589:0.625896:0.000000
1:@0.277589:0.598068:0.284122:0.598068:0.284122:0.586117:0.277589:0.586117:0.000000
2:@0.277589:0.566973:0.284122:0.566973:0.284122:0.555022:0.277589:0.555022:0.000000
3:@0.277589:0.535878:0.284122:0.535878:0.284122:0.523927:0.277589:0.523927:0.000000
4:@0.277589:0.504783:0.284122:0.504783:0.284122:0.492832:0.277589:0.492832:0.000000
5:@0.277589:0.473688:0.284122:0.473688:0.284122:0.461737:0.277589:0.461737:0.000000
1:@0.328353:0.637868:0.334886:0.637868:0.334886:0.625916:0.328353:0.625916:0.000000
2:@0.369625:0.637868:0.376158:0.637868:0.376158:0.625916:0.369625:0.625916:0.000000
3:@0.410898:0.637868:0.417430:0.637868:0.417430:0.625916:0.410898:0.625916:0.000000
4:@0.452170:0.637868:0.458703:0.637868:0.458703:0.625916:0.452170:0.625916:0.000000
5:@0.493442:0.637868:0.499975:0.637868:0.499975:0.625916:0.493442:0.625916:0.000000
6:@0.534715:0.637868:0.541248:0.637868:0.541248:0.625916:0.534715:0.625916:0.000000
7:@0.575251:0.637868:0.581784:0.637868:0.581784:0.625916:0.575251:0.625916:0.000000
8:@0.615787:0.637868:0.622320:0.637868:0.622320:0.625916:0.615787:0.625916:0.000000
9:@0.656323:0.637868:0.662856:0.637868:0.662856:0.625916:0.656323:0.625916:0.000000
2:@0.267053:0.691828:0.278205:0.691828:0.278205:0.681822:0.267053:0.681822:0.000000
2:@0.278205:0.692221:0.284738:0.692221:0.284738:0.680269:0.278205:0.680269:0.000000
2:@0.198444:0.637474:0.209596:0.637474:0.209596:0.627469:0.198444:0.627469:0.000000
2:@0.209596:0.637868:0.216129:0.637868:0.216129:0.625916:0.209596:0.625916:0.000000
2:@0.157172:0.637474:0.168323:0.637474:0.168323:0.627469:0.157172:0.627469:0.000000
3:@0.168323:0.637868:0.174856:0.637868:0.174856:0.625916:0.168323:0.625916:0.000000
2:@0.115900:0.637474:0.127051:0.637474:0.127051:0.627469:0.115900:0.627469:0.000000
4:@0.127051:0.637868:0.133584:0.637868:0.133584:0.625916:0.127051:0.625916:0.000000
D´:@0.620861:0.620661:0.633538:0.620661:0.633538:0.608709:0.620861:0.608709:0.000000:0.000000
A´:@0.621276:0.681742:0.633123:0.681742:0.633123:0.669790:0.621276:0.669790:0.000000:0.000000
B´:@0.621811:0.496947:0.632588:0.496947:0.632588:0.484995:0.621811:0.484995:0.000000:0.000000
C´:@0.481555:0.559157:0.493201:0.559157:0.493201:0.547205:0.481555:0.547205:0.000000:0.000000
C:@0.251792:0.557654:0.259423:0.557654:0.259423:0.545702:0.251792:0.545702:0.000000
B:@0.126904:0.497562:0.133664:0.497562:0.133664:0.485610:0.126904:0.485610:0.000000
A:@0.128885:0.682468:0.136717:0.682468:0.136717:0.670516:0.128885:0.670516:0.000000
D:@0.128470:0.617252:0.137132:0.617252:0.137132:0.605300:0.128470:0.605300:0.000000
a:@0.375141:0.486528:0.387410:0.486528:0.387410:0.471565:0.375141:0.471565:0.000000
=90°:@0.387410:0.485872:0.412390:0.485872:0.412390:0.473920:0.387410:0.473920:0.000000:0.000000:0.000000:0.000000
d:@0.390138:0.684292:0.400178:0.684292:0.400178:0.669330:0.390138:0.669330:0.000000
=90°:@0.400178:0.683636:0.425158:0.683636:0.425158:0.671685:0.400178:0.671685:0.000000:0.000000:0.000000:0.000000
La :@0.082198:0.757053:0.102280:0.757053:0.102280:0.740620:0.082198:0.740620:0.000000:0.000000:0.000000
homotecia:@0.101581:0.757053:0.181778:0.757053:0.181778:0.740384:0.101581:0.740384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de una figura en el plano es una transformación geométrica que consiste :@0.181469:0.757053:0.700343:0.757053:0.700343:0.740620:0.181469:0.740620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en crear una figura semejante a la original con respecto a un punto, cuyo factor de :@0.082198:0.773695:0.700088:0.773695:0.700088:0.757261:0.082198:0.757261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alargamiento puede variar.:@0.082198:0.790337:0.271175:0.790337:0.271175:0.773903:0.082198:0.773903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 4 (Ev 3) Representa e interpreta situaciones de ampliación y reducción en contextos diversos.:@0.078464:0.971045:0.593390:0.971045:0.593390:0.959093:0.078464:0.959093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una homotecia conserva el :@0.740294:0.184940:0.924554:0.184940:0.924554:0.170000:0.740294:0.170000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sentido de las figuras. :@0.740294:0.200069:0.885453:0.200069:0.885453:0.185129:0.740294:0.185129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una homotecia de razón  :@0.740294:0.215198:0.910427:0.215198:0.910427:0.200258:0.740294:0.200258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.740294:0.230327:0.747171:0.230327:0.747171:0.215412:0.740294:0.215412:0.000000
   1 transforma cada :@0.747104:0.230327:0.890299:0.230327:0.890299:0.215387:0.747104:0.215387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.750702:0.229822:0.764642:0.229822:0.764642:0.217354:0.750702:0.217354:0.000000
punto en sí mismo y recibe :@0.740294:0.245456:0.923079:0.245456:0.923079:0.230516:0.740294:0.230516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el nombre de identidad.:@0.740294:0.260585:0.899252:0.260585:0.899252:0.245645:0.740294:0.245645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la razón de homotecia :@0.740294:0.275714:0.905929:0.275714:0.905929:0.260774:0.740294:0.260774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es      1, se trata de una :@0.740294:0.290843:0.915581:0.290843:0.915581:0.275903:0.740294:0.275903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.758099:0.290843:0.764976:0.290843:0.764976:0.275928:0.758099:0.275928:0.000000
5 2:@0.768507:0.290338:0.799900:0.290338:0.799900:0.277869:0.768507:0.277869:0.000000:0.000000:0.000000
simetría central.:@0.740310:0.305971:0.844300:0.305971:0.844300:0.291032:0.740310:0.291032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.145303:0.848854:0.145303:0.848854:0.128356:0.740294:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.161945:0.837769:0.161945:0.837769:0.144998:0.740294:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando se representan :@0.743269:0.530206:0.900181:0.530206:0.900181:0.515266:0.743269:0.515266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
áreas geográficas en :@0.743269:0.545335:0.881176:0.545335:0.881176:0.530395:0.743269:0.530395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un mapa, se utilizan :@0.743269:0.560464:0.877826:0.560464:0.877826:0.545524:0.743269:0.545524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
homotecnias para :@0.743269:0.575593:0.866390:0.575593:0.866390:0.560653:0.743269:0.560653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reducir las dimensiones :@0.743269:0.590722:0.902284:0.590722:0.902284:0.575782:0.743269:0.575782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales a una escala :@0.743269:0.605851:0.868699:0.605851:0.868699:0.590911:0.743269:0.590911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manejable, manteniendo :@0.743269:0.620980:0.913406:0.620980:0.913406:0.606040:0.743269:0.606040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la proporción entre las :@0.743269:0.636109:0.894711:0.636109:0.894711:0.621169:0.743269:0.621169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancias.:@0.743269:0.651238:0.810700:0.651238:0.810700:0.636298:0.743269:0.636298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se utilizan escalas :@0.743269:0.774753:0.863729:0.774753:0.863729:0.759813:0.743269:0.759813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
homotéticas para :@0.743269:0.789882:0.862592:0.789882:0.862592:0.774942:0.743269:0.774942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asegurarse de que :@0.743269:0.805011:0.868254:0.805011:0.868254:0.790071:0.743269:0.790071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las distancias y áreas :@0.743269:0.820140:0.880949:0.820140:0.880949:0.805200:0.743269:0.805200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se representen :@0.743269:0.835269:0.844516:0.835269:0.844516:0.820329:0.743269:0.820329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionalmente. :@0.743269:0.850398:0.878251:0.850398:0.878251:0.835458:0.743269:0.835458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, un mapa a :@0.743269:0.865527:0.903382:0.865527:0.903382:0.850587:0.743269:0.850587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escala 1:50,000 significa :@0.743269:0.880656:0.902150:0.880656:0.902150:0.865716:0.743269:0.865716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que 1 unidad en el :@0.743269:0.895785:0.870597:0.895785:0.870597:0.880845:0.743269:0.880845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mapa representa 50,000 :@0.743269:0.910913:0.905793:0.910913:0.905793:0.895974:0.743269:0.895974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidades en la realidad:@0.743269:0.926042:0.895843:0.926042:0.895843:0.911103:0.743269:0.911103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.743269:0.468161:0.909643:0.468161:0.909643:0.451214:0.743269:0.451214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas y :@0.743269:0.484803:0.852262:0.484803:0.852262:0.468369:0.743269:0.468369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geografía:@0.743269:0.501445:0.812086:0.501445:0.812086:0.485011:0.743269:0.485011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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