18:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000 Estructura algebraica y orden en los números reales:@0.073089:0.043661:0.532427:0.043661:0.532427:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejercicio resuelto:@0.293660:0.137323:0.422242:0.137323:0.422242:0.120653:0.293660:0.120653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. Consideremos cuatro números reales positivos, :@0.293660:0.164686:0.747250:0.164686:0.747250:0.148973:0.293660:0.148973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u, v, x, y,:@0.754369:0.164686:0.832789:0.164686:0.832789:0.149251:0.754369:0.149251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tales que :@0.833722:0.164686:0.930995:0.164686:0.930995:0.148973:0.833722:0.148973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.926900:0.164686:0.930931:0.164686:0.930931:0.148973:0.926900:0.148973:0.000000 x:@0.323768:0.181328:0.331223:0.181328:0.331223:0.165893:0.323768:0.165893:0.000000 y son los lados del rectángulo , que se descomponen en las cuatro :@0.331296:0.181328:0.931093:0.181328:0.931093:0.165615:0.331296:0.165615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.336266:0.180773:0.351599:0.180773:0.351599:0.167058:0.336266:0.167058:0.000000 y u:@0.356661:0.181328:0.391635:0.181328:0.391635:0.165893:0.356661:0.165893:0.000000:0.000000:0.000000 1:@0.396679:0.180773:0.412012:0.180773:0.412012:0.167058:0.396679:0.167058:0.000000 v:@0.417074:0.181328:0.424805:0.181328:0.424805:0.165893:0.417074:0.165893:0.000000 R:@0.645600:0.181328:0.654546:0.181328:0.654546:0.165893:0.645600:0.165893:0.000000 subregiones rectangulares de la Figura 1.3.:@0.323786:0.197970:0.631419:0.197970:0.631419:0.182257:0.323786:0.182257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.293660:0.228907:0.297691:0.228907:0.297691:0.213195:0.293660:0.213195:0.000000 El área de esta región es::@0.322118:0.228907:0.499065:0.228907:0.499065:0.213195:0.322118:0.213195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A R:@0.322118:0.245549:0.345689:0.245549:0.345689:0.230114:0.322118:0.230114:0.000000:0.000000:0.000000 ( ) ( :@0.331939:0.245549:0.389756:0.245549:0.389756:0.229836:0.331939:0.229836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.354359:0.244994:0.369692:0.244994:0.369692:0.231279:0.354359:0.231279:0.000000 x:@0.378344:0.245549:0.385798:0.245549:0.385798:0.230114:0.378344:0.230114:0.000000 1:@0.389682:0.244994:0.405016:0.244994:0.405016:0.231279:0.389682:0.231279:0.000000 y u:@0.404924:0.245549:0.434486:0.245549:0.434486:0.230114:0.404924:0.230114:0.000000:0.000000:0.000000:0.000000 )( ) :@0.415581:0.245549:0.513839:0.245549:0.513839:0.229836:0.415581:0.229836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.438370:0.244994:0.453703:0.244994:0.453703:0.231279:0.438370:0.231279:0.000000 v:@0.457568:0.245549:0.465299:0.245549:0.465299:0.230114:0.457568:0.230114:0.000000 5:@0.473969:0.244994:0.489302:0.244994:0.489302:0.231279:0.473969:0.231279:0.000000 xu:@0.493168:0.245549:0.509863:0.245549:0.509863:0.230114:0.493168:0.230114:0.000000:0.000000 1:@0.513766:0.244994:0.529099:0.244994:0.529099:0.231279:0.513766:0.231279:0.000000 xv:@0.529007:0.245549:0.547561:0.245549:0.547561:0.230114:0.529007:0.230114:0.000000:0.000000:0.000000 :@0.547506:0.245549:0.551537:0.245549:0.551537:0.229836:0.547506:0.229836:0.000000 1:@0.551464:0.244994:0.566797:0.244994:0.566797:0.231279:0.551464:0.231279:0.000000 yu:@0.566705:0.245549:0.586658:0.245549:0.586658:0.230114:0.566705:0.230114:0.000000:0.000000:0.000000 :@0.586603:0.245549:0.609833:0.245549:0.609833:0.229836:0.586603:0.229836:0.000000:0.000000:0.000000 1:@0.590561:0.244994:0.605894:0.244994:0.605894:0.231279:0.590561:0.231279:0.000000 yv.:@0.609760:0.245549:0.627696:0.245549:0.627696:0.230114:0.609760:0.230114:0.000000:0.000000:0.000000 Utiliza este resultado para calcular mentalmente::@0.293670:0.272911:0.645635:0.272911:0.645635:0.257198:0.293670:0.257198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1,8 2,7 1,8 1,3 3, 2 2,7 3, 2 1,3 :@0.293670:0.289553:0.625538:0.289554:0.625538:0.273841:0.293670:0.273840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.318538:0.288998:0.333872:0.288998:0.333872:0.275282:0.318538:0.275282:0.000000 :@0.333594:0.287940:0.336522:0.287940:0.336522:0.279212:0.333594:0.279212:0.000000 1:@0.361215:0.288999:0.376548:0.288999:0.376548:0.275284:0.361215:0.275284:0.000000 3:@0.401324:0.288999:0.416657:0.288999:0.416657:0.275284:0.401324:0.275284:0.000000 :@0.416396:0.287940:0.419325:0.287940:0.419325:0.279212:0.416396:0.279212:0.000000 1:@0.444017:0.288999:0.459351:0.288999:0.459351:0.275284:0.444017:0.275284:0.000000 3:@0.492042:0.288999:0.507375:0.288999:0.507375:0.275284:0.492042:0.275284:0.000000 :@0.507102:0.287940:0.510031:0.287940:0.510031:0.279212:0.507102:0.279212:0.000000 1:@0.534723:0.288999:0.550056:0.288999:0.550056:0.275284:0.534723:0.275284:0.000000 3:@0.582748:0.288999:0.598081:0.288999:0.598081:0.275284:0.582748:0.275284:0.000000 :@0.597807:0.287940:0.600735:0.287940:0.600735:0.279212:0.597807:0.279212:0.000000 5:@0.625427:0.288999:0.640761:0.288999:0.640761:0.275284:0.625427:0.275284:0.000000 1,8(2,7 1,3) 3,2(2,7 1,3) :@0.293655:0.306196:0.511910:0.306196:0.511910:0.290483:0.293655:0.290483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.344257:0.305641:0.359590:0.305641:0.359590:0.291926:0.344257:0.291926:0.000000 1:@0.393128:0.305641:0.408461:0.305641:0.408461:0.291926:0.393128:0.291926:0.000000 1:@0.462928:0.305641:0.478261:0.305641:0.478261:0.291926:0.462928:0.291926:0.000000 5:@0.511799:0.305641:0.527133:0.305641:0.527133:0.291926:0.511799:0.291926:0.000000 1,8 4 3,2 4 4(1,8 3,2) 4 5 20.:@0.293674:0.322838:0.628008:0.322838:0.628008:0.307125:0.293674:0.307125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 :@0.318537:0.321224:0.331047:0.321224:0.331047:0.312496:0.318537:0.312496:0.000000:0.000000 1:@0.343719:0.322283:0.359053:0.322283:0.359053:0.308567:0.343719:0.308567:0.000000 3 5:@0.387786:0.322283:0.433783:0.322283:0.433783:0.308567:0.387786:0.308567:0.000000:0.000000:0.000000 :@0.402849:0.321224:0.405777:0.321224:0.405777:0.312496:0.402849:0.312496:0.000000 1:@0.476212:0.322283:0.491545:0.322283:0.491545:0.308567:0.476212:0.308567:0.000000 5 3 5:@0.525083:0.322283:0.603121:0.322283:0.603121:0.308567:0.525083:0.308567:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.572187:0.321224:0.575115:0.321224:0.575115:0.312496:0.572187:0.312496:0.000000 Ejercicio resuelto:@0.293658:0.350200:0.422240:0.350200:0.422240:0.333530:0.293658:0.333530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. Sean , y dos números reales positivos, tal que es la longitud de un lado del :@0.293660:0.377564:0.931125:0.377564:0.931125:0.361851:0.293660:0.361851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.364297:0.377564:0.371752:0.377564:0.371752:0.362129:0.364297:0.362129:0.000000 x:@0.670078:0.377564:0.677533:0.377564:0.677533:0.362129:0.670078:0.362129:0.000000 1:@0.682172:0.377009:0.697505:0.377009:0.697505:0.363294:0.682172:0.363294:0.000000 y:@0.702162:0.377564:0.709636:0.377564:0.709636:0.362129:0.702162:0.362129:0.000000 cuadrado de la Figura 1.4., que se descomponen en las cuatro subregiones: dos :@0.323764:0.394206:0.931088:0.394206:0.931088:0.378493:0.323764:0.378493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuadradas y dos rectangulares.:@0.323764:0.410848:0.546315:0.410848:0.546315:0.395135:0.323764:0.395135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.293660:0.434637:0.297691:0.434637:0.297691:0.418924:0.293660:0.418924:0.000000 El área del cuadrado es la suma de cada una de las áreas de las regiones rectangulares :@0.322118:0.434637:0.930477:0.434637:0.930477:0.418924:0.322118:0.418924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y cuadradas.:@0.322121:0.451279:0.411812:0.451279:0.411812:0.435566:0.322121:0.435566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.293660:0.467920:0.297691:0.467920:0.297691:0.452208:0.293660:0.452208:0.000000 A C:@0.322121:0.467920:0.346640:0.467920:0.346640:0.452485:0.322121:0.452485:0.000000:0.000000:0.000000 ( ) ( ) 2 :@0.331932:0.467920:0.533234:0.467920:0.533234:0.452208:0.331932:0.452208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.355309:0.467366:0.370643:0.467366:0.370643:0.453650:0.355309:0.453650:0.000000 x:@0.379294:0.467920:0.386749:0.467920:0.386749:0.452485:0.379294:0.452485:0.000000 1:@0.390633:0.467366:0.405966:0.467366:0.405966:0.453650:0.390633:0.453650:0.000000 y:@0.409832:0.467920:0.417305:0.467920:0.417305:0.452485:0.409832:0.452485:0.000000 2:@0.422044:0.461857:0.427281:0.461857:0.427281:0.452696:0.422044:0.452696:0.000000 5:@0.431191:0.467366:0.446524:0.467366:0.446524:0.453650:0.431191:0.453650:0.000000 x:@0.450390:0.467920:0.457844:0.467920:0.457844:0.452485:0.450390:0.452485:0.000000 2:@0.457764:0.461857:0.463001:0.461857:0.463001:0.452696:0.457764:0.452696:0.000000 1:@0.466913:0.467366:0.482246:0.467366:0.482246:0.453650:0.466913:0.453650:0.000000 xy:@0.495002:0.467920:0.510059:0.467920:0.510059:0.452485:0.495002:0.452485:0.000000:0.000000 1:@0.513961:0.467366:0.529295:0.467366:0.529295:0.453650:0.513961:0.453650:0.000000 y .:@0.533160:0.467920:0.549067:0.467920:0.549067:0.452485:0.533160:0.452485:0.000000:0.000000:0.000000 2:@0.540545:0.461857:0.545782:0.461857:0.545782:0.452696:0.540545:0.452696:0.000000 Utiliza este resultado para calcular mentalmente.:@0.293667:0.495282:0.645440:0.495282:0.645440:0.479570:0.293667:0.479570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (4,1) 2 4,1 1,9 (1,9) (4,1 1,9) (6) 36.:@0.293667:0.511924:0.696828:0.511926:0.696828:0.496213:0.293667:0.496212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.324181:0.505862:0.329418:0.505862:0.329418:0.496701:0.324181:0.496701:0.000000 1:@0.333328:0.511371:0.348661:0.511371:0.348661:0.497655:0.333328:0.497655:0.000000 3:@0.365365:0.511106:0.379304:0.511106:0.379304:0.498637:0.365365:0.498637:0.000000 :@0.379053:0.510312:0.381981:0.510312:0.381981:0.501584:0.379053:0.501584:0.000000 3:@0.406682:0.511106:0.420622:0.511106:0.420622:0.498637:0.406682:0.498637:0.000000 :@0.420371:0.510312:0.423299:0.510312:0.423299:0.501584:0.420371:0.501584:0.000000 1:@0.447992:0.511371:0.463325:0.511371:0.463325:0.497655:0.447992:0.497655:0.000000 2:@0.497711:0.505862:0.502948:0.505862:0.502948:0.496701:0.497711:0.496701:0.000000 5:@0.506860:0.511371:0.522193:0.511371:0.522193:0.497655:0.506860:0.497655:0.000000 1:@0.555731:0.511371:0.571064:0.511371:0.571064:0.497655:0.555731:0.497655:0.000000 2:@0.600633:0.505862:0.605870:0.505862:0.605870:0.496701:0.600633:0.496701:0.000000 5:@0.609780:0.511371:0.625113:0.511371:0.625113:0.497655:0.609780:0.497655:0.000000 2:@0.647461:0.505862:0.652698:0.505862:0.652698:0.496701:0.647461:0.496701:0.000000 5:@0.656608:0.511371:0.671941:0.511371:0.671941:0.497655:0.656608:0.497655:0.000000 Si ponemos , entonces :@0.293672:0.539287:0.532556:0.539287:0.532556:0.523575:0.293672:0.523575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.383720:0.539287:0.392979:0.539287:0.392979:0.523852:0.383720:0.523852:0.000000 5 1:@0.396863:0.538733:0.442734:0.538733:0.442734:0.525017:0.396863:0.525017:0.000000:0.000000:0.000000 x:@0.416062:0.539287:0.423517:0.539287:0.423517:0.523852:0.416062:0.523852:0.000000 y:@0.446599:0.539287:0.454073:0.539287:0.454073:0.523852:0.446599:0.523852:0.000000 y a x, :@0.532414:0.539287:0.606429:0.539287:0.606429:0.523852:0.532414:0.523852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.543072:0.538733:0.589329:0.538733:0.589329:0.525017:0.543072:0.525017:0.000000:0.000000:0.000000 luego::@0.606393:0.539287:0.651638:0.539287:0.651638:0.523575:0.606393:0.523575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A R:@0.293690:0.555929:0.317252:0.555929:0.317252:0.540494:0.293690:0.540494:0.000000:0.000000:0.000000 ( ) ( ) 2 :@0.303501:0.555929:0.514177:0.555931:0.514177:0.540218:0.303501:0.540217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.317154:0.559103:0.322391:0.559103:0.322391:0.549942:0.317154:0.549942:0.000000 5:@0.331089:0.555376:0.346422:0.555376:0.346422:0.541660:0.331089:0.541660:0.000000 a:@0.355073:0.555931:0.364332:0.555931:0.364332:0.540495:0.355073:0.540495:0.000000 2:@0.368216:0.555376:0.383549:0.555376:0.383549:0.541660:0.368216:0.541660:0.000000 x:@0.387415:0.555931:0.394870:0.555931:0.394870:0.540495:0.387415:0.540495:0.000000 2:@0.399602:0.549867:0.404839:0.549867:0.404839:0.540706:0.399602:0.540706:0.000000 5:@0.408749:0.555376:0.424082:0.555376:0.424082:0.541660:0.408749:0.541660:0.000000 a:@0.427948:0.555931:0.437207:0.555931:0.437207:0.540495:0.427948:0.540495:0.000000 2:@0.437126:0.549867:0.442363:0.549867:0.442363:0.540706:0.437126:0.540706:0.000000 2:@0.446273:0.555376:0.461606:0.555376:0.461606:0.541660:0.446273:0.541660:0.000000 ax:@0.474362:0.555931:0.491003:0.555931:0.491003:0.540495:0.474362:0.540495:0.000000:0.000000 1:@0.494905:0.555376:0.510238:0.555376:0.510238:0.541660:0.494905:0.541660:0.000000 x .:@0.514104:0.555931:0.529993:0.555931:0.529993:0.540495:0.514104:0.540495:0.000000:0.000000:0.000000 2:@0.521472:0.549867:0.526709:0.549867:0.526709:0.540706:0.521472:0.540706:0.000000 De manera similar :@0.293662:0.583293:0.428782:0.583293:0.428782:0.567580:0.293662:0.567580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x a y:@0.428587:0.583293:0.496105:0.583293:0.496105:0.567857:0.428587:0.567857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.439226:0.582738:0.485484:0.582738:0.485484:0.569022:0.439226:0.569022:0.000000:0.000000:0.000000 , entonces: :@0.496050:0.583293:0.577809:0.583293:0.577809:0.567580:0.496050:0.567580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A R:@0.293662:0.599934:0.317223:0.599934:0.317223:0.584499:0.293662:0.584499:0.000000:0.000000:0.000000 ( ) (:@0.303473:0.599934:0.355165:0.599936:0.355165:0.584223:0.303473:0.584222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.317154:0.603108:0.322391:0.603108:0.322391:0.593947:0.317154:0.593947:0.000000 5:@0.331089:0.599381:0.346422:0.599381:0.346422:0.585665:0.331089:0.585665:0.000000 a y:@0.355073:0.599936:0.393471:0.599936:0.393471:0.584500:0.355073:0.584500:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.367517:0.599381:0.382850:0.599381:0.382850:0.585665:0.367517:0.585665:0.000000 ) 2 :@0.393416:0.599936:0.512807:0.599936:0.512807:0.584223:0.393416:0.584223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.398213:0.593872:0.403450:0.593872:0.403450:0.584711:0.398213:0.584711:0.000000 5:@0.407360:0.599381:0.422693:0.599381:0.422693:0.585665:0.407360:0.585665:0.000000 a:@0.426559:0.599936:0.435818:0.599936:0.435818:0.584500:0.426559:0.584500:0.000000 2:@0.435737:0.593872:0.440974:0.593872:0.440974:0.584711:0.435737:0.584711:0.000000 2:@0.444884:0.599381:0.460217:0.599381:0.460217:0.585665:0.444884:0.585665:0.000000 ay:@0.472974:0.599936:0.489632:0.599936:0.489632:0.584500:0.472974:0.584500:0.000000:0.000000 1:@0.493534:0.599381:0.508868:0.599381:0.508868:0.585665:0.493534:0.585665:0.000000 y .:@0.512733:0.599936:0.528640:0.599936:0.528640:0.584500:0.512733:0.584500:0.000000:0.000000:0.000000 2:@0.520120:0.593872:0.525356:0.593872:0.525356:0.584711:0.520120:0.584711:0.000000 Ejercicio resuelto:@0.293653:0.627298:0.422235:0.627298:0.422235:0.610628:0.293653:0.610628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. Sean :@0.293660:0.654662:0.363306:0.654662:0.363306:0.638949:0.293660:0.638949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a, b:@0.363539:0.654662:0.388775:0.654662:0.388775:0.639227:0.363539:0.639227:0.000000:0.000000:0.000000:0.000000 dos números reales positivos, tales que . Considera el rectángulo de :@0.388720:0.654662:0.931049:0.654662:0.931049:0.638949:0.388720:0.638949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.680935:0.654662:0.690194:0.654662:0.690194:0.639227:0.680935:0.639227:0.000000 #:@0.694409:0.654107:0.709743:0.654107:0.709743:0.640392:0.694409:0.640392:0.000000 a:@0.713940:0.654662:0.723198:0.654662:0.723198:0.639227:0.713940:0.639227:0.000000 lados y , así como la descomposición que se ilustra en la Figura 1.5.:@0.323743:0.671304:0.860585:0.671304:0.860585:0.655591:0.323743:0.655591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a a:@0.366227:0.671304:0.400593:0.671304:0.400593:0.655869:0.366227:0.655869:0.000000:0.000000:0.000000 1:@0.404477:0.670749:0.419810:0.670749:0.419810:0.657033:0.404477:0.657033:0.000000 b:@0.423676:0.671304:0.432934:0.671304:0.432934:0.655869:0.423676:0.655869:0.000000 Utiliza áreas de rectángulos para comprobar que: :@0.293628:0.695088:0.652938:0.695088:0.652938:0.679375:0.293628:0.679375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.293628:0.711730:0.302887:0.711730:0.302887:0.696294:0.293628:0.696294:0.000000 2:@0.302484:0.705671:0.307721:0.705671:0.307721:0.696510:0.302484:0.696510:0.000000 ( )( ).:@0.307459:0.711735:0.467719:0.711735:0.467719:0.696022:0.307459:0.696022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.311048:0.711180:0.326382:0.711180:0.326382:0.697464:0.311048:0.697464:0.000000 b:@0.329511:0.711735:0.338770:0.711735:0.338770:0.696299:0.329511:0.696299:0.000000 2 :@0.338321:0.705671:0.345651:0.705671:0.345651:0.696510:0.338321:0.696510:0.000000:0.000000 5:@0.348974:0.711180:0.364307:0.711180:0.364307:0.697464:0.348974:0.697464:0.000000 a:@0.371854:0.711735:0.381113:0.711735:0.381113:0.696299:0.371854:0.696299:0.000000 2:@0.384261:0.711180:0.399594:0.711180:0.399594:0.697464:0.384261:0.697464:0.000000 b a:@0.402723:0.711735:0.429653:0.711735:0.429653:0.696299:0.402723:0.696299:0.000000:0.000000:0.000000 1:@0.432801:0.711180:0.448134:0.711180:0.448134:0.697464:0.432801:0.697464:0.000000 b:@0.451263:0.711735:0.460522:0.711735:0.460522:0.696299:0.451263:0.696299:0.000000 Formen grupos de tres compañeras y compañeros, y cada grupo responda la siguiente :@0.293660:0.739097:0.931236:0.739097:0.931236:0.723384:0.293660:0.723384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pregunta: ¿cuántos rectángulos hay en la figura?:@0.293660:0.755738:0.644375:0.755738:0.644375:0.740026:0.293660:0.740026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La respuesta es 9 rectángulos.:@0.293660:0.783100:0.509623:0.783100:0.509623:0.767388:0.293660:0.767388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejercicio resuelto:@0.293660:0.812251:0.422242:0.812251:0.422242:0.795582:0.293660:0.795582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5. Sean :@0.293660:0.839616:0.363306:0.839616:0.363306:0.823903:0.293660:0.823903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a, b:@0.363077:0.839616:0.387927:0.839616:0.387927:0.824181:0.363077:0.824181:0.000000:0.000000:0.000000:0.000000 dos números reales no negativos y un cubo de lado :@0.387872:0.839616:0.781695:0.839616:0.781695:0.823903:0.387872:0.823903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.765313:0.839616:0.777719:0.839616:0.777719:0.824181:0.765313:0.824181:0.000000:0.000000 1:@0.781493:0.839061:0.796826:0.839061:0.796826:0.825345:0.781493:0.825345:0.000000 b:@0.796734:0.839616:0.809140:0.839616:0.809140:0.824181:0.796734:0.824181:0.000000:0.000000 , como el que se :@0.809085:0.839616:0.930996:0.839616:0.930996:0.823903:0.809085:0.823903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ilustra en la Figura 1.6.:@0.323778:0.856258:0.482792:0.856258:0.482792:0.840545:0.323778:0.840545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Formen grupos de tres compañeras y compañeros. Luego, cada grupo debe :@0.293663:0.883620:0.931326:0.883620:0.931326:0.867907:0.293663:0.867907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 descomponer este cubo en 8 paralelepípedos rectangulares. :@0.293663:0.900261:0.747388:0.900261:0.747388:0.884549:0.293663:0.884549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Elaboren en su cuaderno una lista de todos estos paralelepípedos rectangulares con :@0.293663:0.924045:0.931375:0.924045:0.931375:0.908333:0.293663:0.908333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sus respectivos volúmenes. Discutan los resultados obtenidos.:@0.293663:0.940687:0.753499:0.940687:0.753499:0.924975:0.293663:0.924975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 xv:@0.117092:0.148964:0.128216:0.148964:0.128216:0.137807:0.117092:0.137807:0.000000:0.000000 xu:@0.116320:0.186287:0.128442:0.186287:0.128442:0.175129:0.116320:0.175129:0.000000:0.000000 y:@0.199209:0.217535:0.204611:0.217535:0.204611:0.206378:0.199209:0.206378:0.000000 x:@0.120285:0.217535:0.125674:0.217535:0.125674:0.206378:0.120285:0.206378:0.000000 v:@0.082087:0.149819:0.087676:0.149819:0.087676:0.138662:0.082087:0.138662:0.000000 u:@0.081515:0.186349:0.088248:0.186349:0.088248:0.175192:0.081515:0.175192:0.000000 yv:@0.196252:0.148967:0.207390:0.148967:0.207390:0.137809:0.196252:0.137809:0.000000:0.000000 yu:@0.196545:0.186289:0.208680:0.186289:0.208680:0.175131:0.196545:0.175131:0.000000:0.000000 Figura 1.3.:@0.217357:0.235732:0.262267:0.235732:0.262267:0.226167:0.217357:0.226167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( )( ) :@0.070954:0.254195:0.250370:0.254195:0.250370:0.241339:0.070954:0.241339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.074885:0.254195:0.080985:0.254195:0.080985:0.241566:0.074885:0.241566:0.000000 1:@0.084162:0.253741:0.096708:0.253741:0.096708:0.242519:0.084162:0.242519:0.000000 y u:@0.099870:0.254195:0.121392:0.254195:0.121392:0.241566:0.099870:0.241566:0.000000:0.000000:0.000000 1:@0.124570:0.253741:0.137115:0.253741:0.137115:0.242519:0.124570:0.242519:0.000000 v:@0.140278:0.254195:0.146603:0.254195:0.146603:0.241566:0.140278:0.241566:0.000000 5:@0.153697:0.253741:0.166242:0.253741:0.166242:0.242519:0.153697:0.242519:0.000000 xu:@0.169405:0.254195:0.183064:0.254195:0.183064:0.241566:0.169405:0.241566:0.000000:0.000000 1:@0.186257:0.253741:0.198803:0.253741:0.198803:0.242519:0.186257:0.242519:0.000000 xv:@0.201965:0.254195:0.214496:0.254195:0.214496:0.241566:0.201965:0.241566:0.000000:0.000000 1:@0.217689:0.253741:0.230234:0.253741:0.230234:0.242519:0.217689:0.242519:0.000000 yu:@0.233397:0.254195:0.247072:0.254195:0.247072:0.241566:0.233397:0.241566:0.000000:0.000000 1:@0.070984:0.267357:0.083530:0.267357:0.083530:0.256135:0.070984:0.256135:0.000000 yv:@0.083454:0.267811:0.098650:0.267811:0.098650:0.255182:0.083454:0.255182:0.000000:0.000000:0.000000 Figura 1.4.:@0.219770:0.435413:0.265199:0.435413:0.265199:0.425737:0.219770:0.425737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 xy:@0.115827:0.348612:0.126891:0.348612:0.126891:0.337325:0.115827:0.337325:0.000000:0.000000 x:@0.119502:0.395970:0.124953:0.395970:0.124953:0.384684:0.119502:0.384684:0.000000 2:@0.124957:0.391535:0.128583:0.391535:0.128583:0.384955:0.124957:0.384955:0.000000 y:@0.196406:0.418737:0.201871:0.418737:0.201871:0.407451:0.196406:0.407451:0.000000 x:@0.121061:0.418737:0.126513:0.418737:0.126513:0.407451:0.121061:0.407451:0.000000 y:@0.087608:0.348679:0.093073:0.348679:0.093073:0.337392:0.087608:0.337392:0.000000 x:@0.087615:0.395973:0.093066:0.395973:0.093066:0.384687:0.087615:0.384687:0.000000 y:@0.192065:0.348615:0.197529:0.348615:0.197529:0.337328:0.192065:0.337328:0.000000 2:@0.197531:0.344178:0.201156:0.344178:0.201156:0.337597:0.197531:0.337597:0.000000 xy:@0.191568:0.395970:0.202633:0.395970:0.202633:0.384683:0.191568:0.384683:0.000000:0.000000 ( ) 2 :@0.073089:0.455220:0.217380:0.455220:0.217380:0.440935:0.073089:0.440935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.077456:0.455220:0.084234:0.455220:0.084234:0.441188:0.077456:0.441188:0.000000 1:@0.087764:0.454715:0.101704:0.454715:0.101704:0.442247:0.087764:0.442247:0.000000 y:@0.105218:0.455220:0.112012:0.455220:0.112012:0.441188:0.105218:0.441188:0.000000 2:@0.116300:0.449707:0.121061:0.449707:0.121061:0.441379:0.116300:0.441379:0.000000 5:@0.124616:0.454715:0.138555:0.454715:0.138555:0.442247:0.124616:0.442247:0.000000 x:@0.142069:0.455220:0.148846:0.455220:0.148846:0.441188:0.142069:0.441188:0.000000 2:@0.148773:0.449707:0.153534:0.449707:0.153534:0.441379:0.148773:0.441379:0.000000 1:@0.157088:0.454715:0.171028:0.454715:0.171028:0.442247:0.157088:0.442247:0.000000 xy:@0.182624:0.455220:0.196313:0.455220:0.196313:0.441188:0.182624:0.441188:0.000000:0.000000 1:@0.199860:0.454715:0.213799:0.454715:0.213799:0.442247:0.199860:0.442247:0.000000 y:@0.217314:0.455220:0.224107:0.455220:0.224107:0.441188:0.217314:0.441188:0.000000 2:@0.224029:0.449707:0.228790:0.449707:0.228790:0.441379:0.224029:0.441379:0.000000 ab:@0.153939:0.870377:0.170450:0.870377:0.170450:0.855917:0.153939:0.855917:0.000000:0.000000 2:@0.170449:0.864771:0.174831:0.864771:0.174831:0.856341:0.170449:0.856341:0.000000 ab:@0.108256:0.837856:0.124767:0.837856:0.124767:0.823396:0.108256:0.823396:0.000000:0.000000 2:@0.124767:0.832249:0.129150:0.832249:0.129150:0.823818:0.124767:0.823818:0.000000 a b:@0.153979:0.837856:0.174941:0.837856:0.174941:0.823396:0.153979:0.823396:0.000000:0.000000:0.000000 2:@0.162175:0.832249:0.166558:0.832249:0.166558:0.823818:0.162175:0.823818:0.000000 a b:@0.209830:0.851606:0.230799:0.851608:0.230799:0.837148:0.209830:0.837146:0.000000:0.000000:0.000000 2:@0.218033:0.846001:0.222416:0.846001:0.222416:0.837571:0.218033:0.837571:0.000000 a b:@0.132240:0.794789:0.153204:0.794782:0.153204:0.780322:0.132240:0.780329:0.000000:0.000000:0.000000 2:@0.140440:0.789175:0.144823:0.789175:0.144823:0.780745:0.140440:0.780745:0.000000 a:@0.183681:0.794782:0.191877:0.794782:0.191877:0.780322:0.183681:0.780322:0.000000 3:@0.191873:0.789175:0.196256:0.789175:0.196256:0.780745:0.191873:0.780745:0.000000 b:@0.113912:0.872452:0.122295:0.872452:0.122295:0.857992:0.113912:0.857992:0.000000 3:@0.122295:0.866845:0.126678:0.866845:0.126678:0.858414:0.122295:0.858414:0.000000 a:@0.115932:0.789593:0.124128:0.789593:0.124128:0.775133:0.115932:0.775133:0.000000 b:@0.113913:0.891137:0.122296:0.891137:0.122296:0.876677:0.113913:0.876677:0.000000 b:@0.098284:0.803954:0.106667:0.803954:0.106667:0.789494:0.098284:0.789494:0.000000 b:@0.088459:0.872455:0.096842:0.872455:0.096842:0.857995:0.088459:0.857995:0.000000 b:@0.200797:0.884910:0.209180:0.884910:0.209180:0.870450:0.200797:0.870450:0.000000 b:@0.153995:0.780950:0.162378:0.780950:0.162378:0.766490:0.153995:0.766490:0.000000 a:@0.200797:0.780950:0.208993:0.780950:0.208993:0.766490:0.200797:0.766490:0.000000 a:@0.237179:0.813830:0.245375:0.813830:0.245375:0.799370:0.237179:0.799370:0.000000 a:@0.224554:0.864534:0.232750:0.864534:0.232750:0.850074:0.224554:0.850074:0.000000 a:@0.160307:0.888534:0.168504:0.888534:0.168504:0.874074:0.160307:0.874074:0.000000 a:@0.088459:0.832936:0.096655:0.832936:0.096655:0.818476:0.088459:0.818476:0.000000 Figura 1.6.:@0.219857:0.906203:0.265199:0.906203:0.265199:0.896795:0.219857:0.896795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) 3:@0.073089:0.924549:0.176158:0.924549:0.176158:0.911693:0.073089:0.911693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.077020:0.924549:0.084595:0.924549:0.084595:0.911920:0.077020:0.911920:0.000000 1:@0.087773:0.924095:0.100318:0.924095:0.100318:0.912873:0.087773:0.912873:0.000000 b:@0.103481:0.924549:0.111056:0.924549:0.111056:0.911920:0.103481:0.911920:0.000000 3:@0.114915:0.919588:0.119200:0.919588:0.119200:0.912093:0.114915:0.912093:0.000000 5:@0.122400:0.924095:0.134945:0.924095:0.134945:0.912873:0.122400:0.912873:0.000000 a:@0.138108:0.924549:0.145683:0.924549:0.145683:0.911920:0.138108:0.911920:0.000000 3:@0.145617:0.919588:0.149902:0.919588:0.149902:0.912093:0.145617:0.912093:0.000000 1:@0.153101:0.924095:0.165646:0.924095:0.165646:0.912873:0.153101:0.912873:0.000000 a b :@0.176083:0.924549:0.198075:0.924549:0.198075:0.911920:0.176083:0.911920:0.000000:0.000000:0.000000:0.000000 2:@0.183601:0.919588:0.187886:0.919588:0.187886:0.912093:0.183601:0.912093:0.000000 1:@0.198029:0.924095:0.210575:0.924095:0.210575:0.912873:0.198029:0.912873:0.000000 3:@0.210499:0.924549:0.221087:0.924549:0.221087:0.911693:0.210499:0.911693:0.000000:0.000000 ab :@0.221012:0.924549:0.243049:0.924549:0.243049:0.911920:0.221012:0.911920:0.000000:0.000000:0.000000:0.000000 2:@0.236054:0.919588:0.240338:0.919588:0.240338:0.912093:0.236054:0.912093:0.000000 1:@0.073091:0.937711:0.085636:0.937711:0.085636:0.926489:0.073091:0.926489:0.000000 b:@0.085561:0.938165:0.095787:0.938165:0.095787:0.925536:0.085561:0.925536:0.000000:0.000000 3:@0.095736:0.933204:0.100021:0.933204:0.100021:0.925709:0.095736:0.925709:0.000000 Figura 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):@0.086164:0.712970:0.238530:0.712970:0.238530:0.698686:0.086164:0.698686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.089761:0.712466:0.103701:0.712466:0.103701:0.699997:0.089761:0.699997:0.000000 b:@0.107215:0.712970:0.115632:0.712970:0.115632:0.698938:0.107215:0.698938:0.000000 2 :@0.115558:0.707458:0.122417:0.707458:0.122417:0.699130:0.115558:0.699130:0.000000:0.000000 5:@0.125968:0.712466:0.139907:0.712466:0.139907:0.699997:0.125968:0.699997:0.000000 a:@0.147772:0.712970:0.156189:0.712970:0.156189:0.698938:0.147772:0.698938:0.000000 2:@0.159720:0.712466:0.173660:0.712466:0.173660:0.699997:0.159720:0.699997:0.000000 b a:@0.177174:0.712970:0.204761:0.712970:0.204761:0.698938:0.177174:0.698938:0.000000:0.000000:0.000000 :@0.189882:0.707458:0.192018:0.707458:0.192018:0.699130:0.189882:0.699130:0.000000 1:@0.208292:0.712466:0.222232:0.712466:0.222232:0.699997:0.208292:0.699997:0.000000 b:@0.225746:0.712970:0.234163:0.712970:0.234163:0.698938:0.225746:0.698938:0.000000 a b:@0.123572:0.534851:0.148345:0.534851:0.148345:0.523842:0.123572:0.523842:0.000000:0.000000:0.000000 – :@0.129982:0.534851:0.141935:0.534851:0.141935:0.523645:0.129982:0.523645:0.000000:0.000000:0.000000 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 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