146:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Figuras planas:@0.073089:0.043661:0.202227:0.043661:0.202227:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si 0, entonces está :@0.078581:0.695255:0.245465:0.695255:0.245465:0.680316:0.078581:0.680316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.093287:0.695255:0.100165:0.695255:0.100165:0.680341:0.093287:0.680341:0.000000 .:@0.103696:0.694751:0.117635:0.694751:0.117635:0.682282:0.103696:0.682282:0.000000 P’:@0.200518:0.695255:0.211328:0.695255:0.211328:0.680341:0.200518:0.680341:0.000000:0.000000 en el :@0.078578:0.710384:0.114322:0.710384:0.114322:0.695445:0.078578:0.695445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 OP OP’:@0.114221:0.710384:0.168881:0.710384:0.168881:0.695470:0.114221:0.695470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.132863:0.710384:0.147421:0.710384:0.147421:0.695445:0.132863:0.695445:0.000000:0.000000:0.000000 5 3:@0.168824:0.709880:0.210625:0.709880:0.210625:0.697411:0.168824:0.697411:0.000000:0.000000:0.000000 :@0.182680:0.710384:0.214206:0.710384:0.214206:0.695445:0.182680:0.695445:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.186277:0.710384:0.193155:0.710384:0.193155:0.695470:0.186277:0.695470:0.000000 OP:@0.214139:0.710384:0.232831:0.710384:0.232831:0.695470:0.214139:0.695470:0.000000:0.000000 .:@0.232781:0.710384:0.235693:0.710384:0.235693:0.695445:0.232781:0.695445:0.000000 Si 0, entonces P’ está :@0.078612:0.725513:0.244660:0.725513:0.244660:0.710574:0.078612:0.710574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.093321:0.725513:0.100198:0.725513:0.100198:0.710599:0.093321:0.710599:0.000000 ,:@0.103729:0.725009:0.117669:0.725009:0.117669:0.712540:0.103729:0.712540:0.000000 en el rayo opuesto al :@0.078612:0.740642:0.222807:0.740642:0.222807:0.725702:0.078612:0.725702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 OP OP’ :@0.078612:0.755771:0.136216:0.755771:0.136216:0.740857:0.078612:0.740857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.097253:0.755771:0.111812:0.755771:0.111812:0.740831:0.097253:0.740831:0.000000:0.000000:0.000000 5:@0.136176:0.755267:0.150116:0.755267:0.150116:0.742798:0.136176:0.742798:0.000000 | |:@0.150032:0.755771:0.167452:0.755771:0.167452:0.740831:0.150032:0.740831:0.000000:0.000000:0.000000:0.000000 k :@0.157094:0.755771:0.170397:0.755771:0.170397:0.740857:0.157094:0.740857:0.000000:0.000000:0.000000 3:@0.170330:0.755267:0.184269:0.755267:0.184269:0.742798:0.170330:0.742798:0.000000 :@0.184186:0.755771:0.187850:0.755771:0.187850:0.740831:0.184186:0.740831:0.000000 OP:@0.187783:0.755771:0.206475:0.755771:0.206475:0.740857:0.187783:0.740857:0.000000:0.000000 .:@0.206425:0.755771:0.209337:0.755771:0.209337:0.740831:0.206425:0.740831:0.000000 La imagen de O es O.:@0.078628:0.770900:0.218199:0.770900:0.218199:0.755960:0.078628:0.755960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 | |:@0.078628:0.786029:0.096048:0.786029:0.096048:0.771089:0.078628:0.771089:0.000000:0.000000:0.000000:0.000000 k :@0.085690:0.786029:0.098994:0.786029:0.098994:0.771115:0.085690:0.771115:0.000000:0.000000:0.000000 .:@0.098927:0.785525:0.112866:0.785525:0.112866:0.773056:0.098927:0.773056:0.000000 1 es una ampliación.:@0.112782:0.786029:0.251004:0.786029:0.251004:0.771089:0.112782:0.771089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 | |:@0.078612:0.801158:0.096032:0.801158:0.096032:0.786218:0.078612:0.786218:0.000000:0.000000:0.000000:0.000000 k :@0.085673:0.801158:0.098977:0.801158:0.098977:0.786243:0.085673:0.786243:0.000000:0.000000:0.000000 ,:@0.098910:0.800654:0.112849:0.800654:0.112849:0.788185:0.098910:0.788185:0.000000 1 es una reducción.:@0.112766:0.801158:0.244187:0.801158:0.244187:0.786218:0.112766:0.786218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.078581:0.652778:0.187141:0.652778:0.187141:0.635832:0.078581:0.635832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.078581:0.669420:0.176057:0.669420:0.176057:0.652473:0.078581:0.652473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una homotecia con centro y razón es una transformación en el plano porque a cada :@0.293660:0.136836:0.931227:0.136836:0.931227:0.120402:0.293660:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 O:@0.491664:0.136836:0.503536:0.136836:0.503536:0.120430:0.491664:0.120430:0.000000 k:@0.562992:0.136836:0.570557:0.136836:0.570557:0.120430:0.562992:0.120430:0.000000 punto le hace corresponder otro punto Estos están alineados y cumplen lo siguiente.:@0.293657:0.153478:0.926782:0.153478:0.926782:0.137044:0.293657:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.341589:0.153478:0.350351:0.153478:0.350351:0.137072:0.341589:0.137072:0.000000 P’.:@0.589885:0.153478:0.602440:0.153478:0.602440:0.137072:0.589885:0.137072:0.000000:0.000000:0.000000 k:@0.293675:0.226036:0.301241:0.226036:0.301241:0.209630:0.293675:0.209630:0.000000 :@0.301167:0.226036:0.324397:0.226036:0.324397:0.209603:0.301167:0.209603:0.000000:0.000000:0.000000 5:@0.305124:0.225482:0.320458:0.225482:0.320458:0.211766:0.305124:0.211766:0.000000 OP´:@0.329076:0.220819:0.356466:0.220819:0.356466:0.204413:0.329076:0.204413:0.000000:0.000000:0.000000 OP:@0.332720:0.234799:0.352821:0.234799:0.352821:0.218393:0.332720:0.218393:0.000000:0.000000 En función de la razón, las homotecias pueden verse de la siguiente manera::@0.293660:0.329574:0.845815:0.329574:0.845815:0.313140:0.293660:0.313140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.423686:0.366454:0.431251:0.366454:0.431251:0.350048:0.423686:0.350048:0.000000 1:@0.431177:0.366454:0.463316:0.366454:0.463316:0.350021:0.431177:0.350021:0.000000:0.000000:0.000000:0.000000 .:@0.435135:0.365900:0.450468:0.365900:0.450468:0.352184:0.435135:0.352184:0.000000 0 1:@0.723779:0.366454:0.795457:0.366454:0.795457:0.350021:0.723779:0.350021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , ,:@0.736627:0.365900:0.782609:0.365900:0.782609:0.352184:0.736627:0.352184:0.000000:0.000000:0.000000 k:@0.755826:0.366454:0.763391:0.366454:0.763391:0.350048:0.755826:0.350048:0.000000 :@0.354750:0.478523:0.358782:0.478523:0.358782:0.462090:0.354750:0.462090:0.000000 O:@0.360895:0.442283:0.367489:0.442283:0.367489:0.433931:0.360895:0.433931:0.000000 A:@0.414094:0.456660:0.419701:0.456660:0.419701:0.448307:0.414094:0.448307:0.000000 B:@0.443789:0.445503:0.448912:0.445503:0.448912:0.437151:0.443789:0.437151:0.000000 C:@0.430896:0.416170:0.436375:0.416170:0.436375:0.407818:0.430896:0.407818:0.000000 D:@0.410738:0.435574:0.417125:0.435574:0.417125:0.427222:0.410738:0.427222:0.000000 A’:@0.459139:0.466998:0.466119:0.466998:0.466119:0.458646:0.459139:0.458646:0.000000:0.000000 B’:@0.511134:0.446128:0.518173:0.446128:0.518173:0.437776:0.511134:0.437776:0.000000:0.000000 C’:@0.490838:0.395308:0.498232:0.395308:0.498232:0.386955:0.490838:0.386955:0.000000:0.000000 D’:@0.456632:0.418446:0.464993:0.418446:0.464993:0.410093:0.456632:0.410093:0.000000:0.000000 O:@0.627936:0.439954:0.637703:0.439954:0.637703:0.426702:0.627936:0.426702:0.000000 A´:@0.777392:0.471227:0.791297:0.471227:0.791297:0.457975:0.777392:0.457975:0.000000:0.000000 B´:@0.862004:0.447356:0.875192:0.447356:0.875192:0.434105:0.862004:0.434105:0.000000:0.000000 C´:@0.825427:0.393659:0.839142:0.393659:0.839142:0.380407:0.825427:0.380407:0.000000:0.000000 D´:@0.774458:0.417944:0.789517:0.417944:0.789517:0.404692:0.774458:0.404692:0.000000:0.000000 A:@0.706016:0.459902:0.714321:0.459902:0.714321:0.446650:0.706016:0.446650:0.000000 B:@0.749324:0.448887:0.756912:0.448887:0.756912:0.435635:0.749324:0.435635:0.000000 C:@0.730638:0.416115:0.738753:0.416115:0.738753:0.402863:0.730638:0.402863:0.000000 D:@0.702785:0.429852:0.712245:0.429852:0.712245:0.416600:0.702785:0.416600:0.000000 2 , ,:@0.399939:0.507315:0.474212:0.507315:0.474212:0.493599:0.399939:0.493599:0.000000:0.000000:0.000000:0.000000:0.000000 1 k 0:@0.415180:0.507870:0.487060:0.507870:0.487060:0.491436:0.415180:0.491436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k 1:@0.732079:0.507870:0.787154:0.507870:0.787154:0.491436:0.732079:0.491436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , 2:@0.743731:0.507315:0.778263:0.507315:0.778263:0.493599:0.743731:0.493599:0.000000:0.000000:0.000000 :@0.309209:0.618163:0.313240:0.618163:0.313240:0.601730:0.309209:0.601730:0.000000 O:@0.400867:0.577918:0.410460:0.577918:0.410460:0.564903:0.400867:0.564903:0.000000 A´:@0.496304:0.611273:0.509960:0.611273:0.509960:0.598258:0.496304:0.598258:0.000000:0.000000 B´:@0.557147:0.589213:0.570100:0.589213:0.570100:0.576198:0.557147:0.576198:0.000000:0.000000 C´:@0.530926:0.537239:0.544396:0.537239:0.544396:0.524224:0.530926:0.524224:0.000000:0.000000 D´:@0.493920:0.559905:0.508711:0.559905:0.508711:0.546890:0.493920:0.546890:0.000000:0.000000 A:@0.357629:0.568354:0.365786:0.568354:0.365786:0.555339:0.357629:0.555339:0.000000 B:@0.321658:0.580861:0.329110:0.580861:0.329110:0.567846:0.321658:0.567846:0.000000 C:@0.336822:0.611912:0.344791:0.611912:0.344791:0.598896:0.336822:0.598896:0.000000 D:@0.358692:0.590685:0.367983:0.590685:0.367983:0.577670:0.358692:0.577670:0.000000 :@0.625340:0.618161:0.629372:0.618161:0.629372:0.601727:0.625340:0.601727:0.000000 O:@0.716992:0.577918:0.726584:0.577918:0.726584:0.564903:0.716992:0.564903:0.000000 A´:@0.812428:0.611273:0.826085:0.611273:0.826085:0.598258:0.812428:0.598258:0.000000:0.000000 B´:@0.873272:0.589213:0.886224:0.589213:0.886224:0.576198:0.873272:0.576198:0.000000:0.000000 C´:@0.847050:0.537239:0.860520:0.537239:0.860520:0.524224:0.847050:0.524224:0.000000:0.000000 D´:@0.810045:0.559905:0.824835:0.559905:0.824835:0.546890:0.810045:0.546890:0.000000:0.000000 A:@0.673754:0.568354:0.681910:0.568354:0.681910:0.555339:0.673754:0.555339:0.000000 B:@0.637782:0.580861:0.645235:0.580861:0.645235:0.567846:0.637782:0.567846:0.000000 C:@0.652946:0.611912:0.660916:0.611912:0.660916:0.598896:0.652946:0.598896:0.000000 D:@0.674816:0.590685:0.684107:0.590685:0.684107:0.577670:0.674816:0.577670:0.000000 Ejemplo 4:@0.293660:0.647944:0.369443:0.647944:0.369443:0.631274:0.293660:0.631274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dibujamos un triángulo equilátero de 1 cm de lado y aplicamos la homotecia :@0.293660:0.675307:0.930938:0.675307:0.930938:0.658873:0.293660:0.658873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de centro O y razón: :@0.293660:0.691949:0.443425:0.691949:0.443425:0.675515:0.293660:0.675515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.414154:0.719312:0.441015:0.719312:0.441015:0.702878:0.414154:0.702878:0.000000:0.000000:0.000000:0.000000 k:@0.429492:0.719312:0.437058:0.719312:0.437058:0.702906:0.429492:0.702906:0.000000 5:@0.440942:0.718757:0.456275:0.718757:0.456275:0.705041:0.440942:0.705041:0.000000 3:@0.460133:0.719312:0.469116:0.719312:0.469116:0.702878:0.460133:0.702878:0.000000 b. 0,5:@0.715380:0.719312:0.783844:0.719312:0.783844:0.702878:0.715380:0.702878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.732174:0.719312:0.739740:0.719312:0.739740:0.702906:0.732174:0.702906:0.000000 5:@0.743624:0.718757:0.758957:0.718757:0.758957:0.705041:0.743624:0.705041:0.000000 Solución:@0.293658:0.746674:0.359792:0.746674:0.359792:0.730004:0.293658:0.730004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 3:@0.416010:0.783562:0.470992:0.783562:0.470992:0.767128:0.416010:0.767128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.431361:0.783562:0.438927:0.783562:0.438927:0.767156:0.431361:0.767156:0.000000 5:@0.442811:0.783007:0.458144:0.783007:0.458144:0.769291:0.442811:0.769291:0.000000 b. 0,5:@0.725381:0.783562:0.793874:0.783562:0.793874:0.767128:0.725381:0.767128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.742205:0.783562:0.749770:0.783562:0.749770:0.767156:0.742205:0.767156:0.000000 5:@0.753654:0.783007:0.768987:0.783007:0.768987:0.769291:0.753654:0.769291:0.000000 :@0.330103:0.897406:0.334134:0.897406:0.334134:0.880972:0.330103:0.880972:0.000000 O:@0.337379:0.843902:0.344980:0.843902:0.344980:0.834275:0.337379:0.834275:0.000000 A:@0.378856:0.834146:0.385319:0.834146:0.385319:0.824519:0.378856:0.824519:0.000000 B:@0.359682:0.858759:0.365588:0.858759:0.365588:0.849132:0.359682:0.849132:0.000000 C:@0.398382:0.854216:0.404697:0.854216:0.404697:0.844588:0.398382:0.844588:0.000000 A’:@0.478047:0.808959:0.486092:0.808959:0.486092:0.799331:0.478047:0.799331:0.000000:0.000000 B’:@0.416349:0.893069:0.424463:0.893069:0.424463:0.883441:0.416349:0.883441:0.000000:0.000000 C’:@0.541075:0.883065:0.549598:0.883065:0.549598:0.873437:0.541075:0.873437:0.000000:0.000000 1:@0.379459:0.861066:0.385296:0.861066:0.385296:0.851370:0.379459:0.851370:0.000000 cm:@0.385296:0.861066:0.401375:0.861066:0.401375:0.851439:0.385296:0.851439:0.000000:0.000000:0.000000 3:@0.472379:0.894190:0.478217:0.894190:0.478217:0.884494:0.472379:0.884494:0.000000 cm:@0.478217:0.894190:0.494296:0.894190:0.494296:0.884562:0.478217:0.884562:0.000000:0.000000:0.000000 :@0.656380:0.896918:0.660411:0.896918:0.660411:0.880484:0.656380:0.880484:0.000000 O:@0.663656:0.847163:0.671257:0.847163:0.671257:0.837535:0.663656:0.837535:0.000000 A:@0.790908:0.814448:0.797371:0.814448:0.797371:0.804820:0.790908:0.804820:0.000000 B:@0.736083:0.888279:0.741989:0.888279:0.741989:0.878652:0.736083:0.878652:0.000000 C:@0.843081:0.881292:0.849396:0.881292:0.849396:0.871664:0.843081:0.871664:0.000000 A’:@0.732431:0.828431:0.740476:0.828431:0.740476:0.818803:0.732431:0.818803:0.000000:0.000000 B’:@0.702481:0.871442:0.710594:0.871442:0.710594:0.861814:0.702481:0.861814:0.000000:0.000000 1:@0.785377:0.889694:0.791215:0.889694:0.791215:0.879997:0.785377:0.879997:0.000000 cm:@0.791215:0.889694:0.807293:0.889694:0.807293:0.880066:0.791215:0.880066:0.000000:0.000000:0.000000 0,5:@0.722224:0.870833:0.736254:0.870833:0.736254:0.861137:0.722224:0.861137:0.000000:0.000000:0.000000 cm:@0.736254:0.870833:0.752333:0.870833:0.752333:0.861205:0.736254:0.861205:0.000000:0.000000:0.000000 C’:@0.761653:0.862878:0.770176:0.862878:0.770176:0.853250:0.761653:0.853250:0.000000:0.000000 O:@0.424874:0.246650:0.431489:0.246650:0.431489:0.237509:0.424874:0.237509:0.000000 P:@0.481683:0.227301:0.486565:0.227301:0.486565:0.218160:0.481683:0.218160:0.000000 P’:@0.572050:0.198966:0.578717:0.198966:0.578717:0.189825:0.572050:0.189825:0.000000:0.000000 A:@0.752160:0.216724:0.756336:0.216724:0.756336:0.210503:0.752160:0.210503:0.000000 A’:@0.827324:0.171174:0.832523:0.171174:0.832523:0.164953:0.827324:0.164953:0.000000:0.000000 O:@0.672840:0.266706:0.677751:0.266706:0.677751:0.260485:0.672840:0.260485:0.000000 DBA 2 (Ev 3) Construye representaciones geométricas y pictóricas para ilustrar relaciones entre cantidades.:@0.359933:0.971045:0.918989:0.971045:0.918989:0.959093:0.359933:0.959093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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