212:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Geometría:@0.073089:0.043661:0.168070:0.043661:0.168070:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 3. Razonamiento en geometría:@0.073089:0.098522:0.615631:0.098522:0.615631:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Qué número debería ir en el espacio en blanco? Explica tu razonamiento.:@0.302768:0.161887:0.832036:0.161887:0.832036:0.146175:0.302768:0.146175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2, 5, 10, 17, 26, ___:@0.302768:0.178529:0.440896:0.178529:0.440896:0.162816:0.302768:0.162816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Supongamos que, después de realizar las operaciones propuestas, nos piden elaborar :@0.293873:0.236247:0.930572:0.236247:0.930572:0.220535:0.293873:0.220535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una conjetura o una conclusión sobre estas.:@0.293873:0.252889:0.611530:0.252889:0.611530:0.237176:0.293873:0.237176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  13 7 20   :@0.293873:0.280252:0.418402:0.280252:0.418402:0.264540:0.293873:0.264540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ =:@0.341318:0.280835:0.383011:0.280835:0.383011:0.263181:0.341318:0.263181:0.000000:0.000000:0.000000
 :@0.474614:0.280252:0.478646:0.280252:0.478646:0.264540:0.474614:0.264540:0.000000
 :@0.534856:0.280252:0.538887:0.280252:0.538887:0.264540:0.534856:0.264540:0.000000
d.     25 27 52:@0.595079:0.280252:0.721607:0.280252:0.721607:0.264540:0.595079:0.264540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.649911:0.280835:0.665244:0.280835:0.665244:0.263181:0.649911:0.263181:0.000000
∙:@0.686265:0.280835:0.701598:0.280835:0.701598:0.263181:0.686265:0.263181:0.000000
b.  15 9 24   :@0.293873:0.305114:0.418402:0.305114:0.418402:0.289401:0.293873:0.289401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ =:@0.341318:0.305697:0.383011:0.305697:0.383011:0.288042:0.341318:0.288042:0.000000:0.000000:0.000000
 :@0.474614:0.305114:0.478646:0.305114:0.478646:0.289401:0.474614:0.289401:0.000000
 :@0.534856:0.305114:0.538887:0.305114:0.538887:0.289401:0.534856:0.289401:0.000000
e.      41 19 60:@0.595079:0.305114:0.724490:0.305114:0.724490:0.289401:0.595079:0.289401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.652794:0.305697:0.668127:0.305697:0.668127:0.288042:0.652794:0.288042:0.000000
∙:@0.689148:0.305697:0.704482:0.305697:0.704482:0.288042:0.689148:0.288042:0.000000
c.  17 13 30  :@0.293873:0.329976:0.418403:0.329976:0.418403:0.314263:0.293873:0.314263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.341318:0.330559:0.356651:0.330559:0.356651:0.312904:0.341318:0.312904:0.000000
=:@0.377673:0.330559:0.393006:0.330559:0.393006:0.312904:0.377673:0.312904:0.000000
 :@0.474615:0.329976:0.478646:0.329976:0.478646:0.314263:0.474615:0.314263:0.000000
 :@0.534857:0.329976:0.538888:0.329976:0.538888:0.314263:0.534857:0.314263:0.000000
f.      35 63 98:@0.595091:0.329976:0.720017:0.329976:0.720017:0.314263:0.595091:0.314263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.648321:0.330559:0.663654:0.330559:0.663654:0.312904:0.648321:0.312904:0.000000
∙:@0.684675:0.330559:0.700009:0.330559:0.700009:0.312904:0.684675:0.312904:0.000000
Después de observar los ejemplos, podemos concluir que siempre, la suma de dos :@0.293871:0.354842:0.930252:0.354842:0.930252:0.339129:0.293871:0.339129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números impares, da como resultado un número par.:@0.293871:0.371484:0.679926:0.371484:0.679926:0.355771:0.293871:0.355771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El proceso que hemos seguido se denomina :@0.293871:0.398846:0.620574:0.398846:0.620574:0.383133:0.293871:0.383133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
razonamiento inductivo.:@0.620213:0.398846:0.805396:0.398846:0.805396:0.382176:0.620213:0.382176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.1 Razonamiento inductivo:@0.306708:0.429886:0.519100:0.429886:0.519100:0.413217:0.306708:0.413217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Se observa que una propiedad es verdadera para cada caso en el que se pone a :@0.303361:0.453675:0.921957:0.453675:0.921957:0.437963:0.303361:0.437963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.917926:0.453675:0.921957:0.453675:0.921957:0.437963:0.917926:0.437963:0.000000
prueba.:@0.333488:0.470317:0.389060:0.470317:0.389060:0.454604:0.333488:0.454604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Se concluye que la propiedad es verdadera para todos los casos y se establece :@0.303361:0.490533:0.921576:0.490533:0.921576:0.474821:0.303361:0.474821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una generalización.:@0.333488:0.507175:0.474157:0.507175:0.474157:0.491462:0.333488:0.491462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.293876:0.544383:0.370248:0.544383:0.370248:0.527714:0.293876:0.527714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla el cuadrado de cada número y trata de establecer una generalización::@0.293876:0.571745:0.838190:0.571745:0.838190:0.556033:0.293876:0.556033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  3:@0.293873:0.599114:0.330292:0.599114:0.330292:0.583401:0.293873:0.583401:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.331316:0.593050:0.336553:0.593050:0.336553:0.583889:0.331316:0.583889:0.000000
∙:@0.337150:0.599696:0.352483:0.599696:0.352483:0.582042:0.337150:0.582042:0.000000
9 :@0.353495:0.599114:0.367540:0.599114:0.367540:0.583401:0.353495:0.583401:0.000000:0.000000
 :@0.414363:0.599114:0.418394:0.599114:0.418394:0.583401:0.414363:0.583401:0.000000
 :@0.474606:0.599114:0.478637:0.599114:0.478637:0.583401:0.474606:0.583401:0.000000
 :@0.534847:0.599114:0.538879:0.599114:0.538879:0.583401:0.534847:0.583401:0.000000
d.      9:@0.595091:0.599114:0.640685:0.599114:0.640685:0.583401:0.595091:0.583401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.641646:0.593050:0.646883:0.593050:0.646883:0.583889:0.641646:0.583889:0.000000
∙:@0.647479:0.599696:0.662813:0.599696:0.662813:0.582042:0.647479:0.582042:0.000000
81:@0.663825:0.599114:0.682821:0.599114:0.682821:0.583401:0.663825:0.583401:0.000000:0.000000
b.  5:@0.293873:0.626477:0.330292:0.626477:0.330292:0.610764:0.293873:0.610764:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.331316:0.620413:0.336553:0.620413:0.336553:0.611252:0.331316:0.611252:0.000000
∙:@0.337150:0.627059:0.352483:0.627059:0.352483:0.609405:0.337150:0.609405:0.000000
25 :@0.353495:0.626477:0.377554:0.626477:0.377554:0.610764:0.353495:0.610764:0.000000:0.000000:0.000000
 :@0.414372:0.626477:0.418403:0.626477:0.418403:0.610764:0.414372:0.610764:0.000000
 :@0.474613:0.626477:0.478644:0.626477:0.478644:0.610764:0.474613:0.610764:0.000000
 :@0.534855:0.626477:0.538886:0.626477:0.538886:0.610764:0.534855:0.610764:0.000000
e.      11:@0.595091:0.626477:0.649624:0.626477:0.649624:0.610764:0.595091:0.610764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.650585:0.620413:0.655822:0.620413:0.655822:0.611252:0.650585:0.611252:0.000000
∙:@0.656419:0.627059:0.671752:0.627059:0.671752:0.609405:0.656419:0.609405:0.000000
121:@0.672764:0.626477:0.701774:0.626477:0.701774:0.610764:0.672764:0.610764:0.000000:0.000000:0.000000
c.  7:@0.293873:0.653840:0.330292:0.653840:0.330292:0.638127:0.293873:0.638127:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.331316:0.647776:0.336553:0.647776:0.336553:0.638616:0.331316:0.638616:0.000000
∙:@0.337150:0.654422:0.352483:0.654422:0.352483:0.636768:0.337150:0.636768:0.000000
49 :@0.353495:0.653840:0.377554:0.653840:0.377554:0.638127:0.353495:0.638127:0.000000:0.000000:0.000000
 :@0.414372:0.653840:0.418403:0.653840:0.418403:0.638127:0.414372:0.638127:0.000000
 :@0.474613:0.653840:0.478644:0.653840:0.478644:0.638127:0.474613:0.638127:0.000000
 :@0.534855:0.653840:0.538886:0.653840:0.538886:0.638127:0.534855:0.638127:0.000000
f.      13:@0.595091:0.653840:0.645151:0.653840:0.645151:0.638127:0.595091:0.638127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.646112:0.647776:0.651349:0.647776:0.651349:0.638616:0.646112:0.638616:0.000000
∙:@0.651946:0.654422:0.667279:0.654422:0.667279:0.636768:0.651946:0.636768:0.000000
169:@0.668291:0.653840:0.697301:0.653840:0.697301:0.638127:0.668291:0.638127:0.000000:0.000000:0.000000
La generalización puede ser: el cuadrado de un número impar siempre da un número :@0.293869:0.681202:0.930359:0.681202:0.930359:0.665489:0.293869:0.665489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impar.:@0.293869:0.697844:0.338739:0.697844:0.338739:0.682131:0.293869:0.682131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una :@0.293869:0.725206:0.327260:0.725206:0.327260:0.709493:0.293869:0.709493:0.000000:0.000000:0.000000:0.000000
proposición :@0.326708:0.725206:0.420657:0.725206:0.420657:0.708536:0.326708:0.708536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es un enunciado del cual se puede afirmar que es verdadera o falsa. Las :@0.420106:0.725206:0.931143:0.725206:0.931143:0.709493:0.420106:0.709493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proposiciones generalmente se representan con las letras  ,  ,  .:@0.293869:0.741848:0.755560:0.741848:0.755560:0.726135:0.293869:0.726135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q r:@0.714641:0.741848:0.752431:0.741848:0.752431:0.725442:0.714641:0.725442:0.000000:0.000000:0.000000:0.000000:0.000000
El valor de verdad de una proposición es determinar si es verdadera (V) o falsa (F):@0.293832:0.769210:0.879951:0.769210:0.879951:0.753497:0.293832:0.753497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.293832:0.796571:0.370204:0.796571:0.370204:0.779902:0.293832:0.779902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿Cuál es el valor de verdad de las siguientes proposiciones?:@0.293832:0.823933:0.726147:0.823933:0.726147:0.808221:0.293832:0.808221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Un cuadrado es una figura plana de tres lados. :@0.293873:0.851302:0.660895:0.851302:0.660895:0.835589:0.293873:0.835589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.715877:0.851302:0.719909:0.851302:0.719909:0.835589:0.715877:0.835589:0.000000
 :@0.776121:0.851302:0.780152:0.851302:0.780152:0.835589:0.776121:0.835589:0.000000
 :@0.836362:0.851302:0.840393:0.851302:0.840393:0.835589:0.836362:0.835589:0.000000
(     ):@0.896297:0.851302:0.925767:0.851302:0.925767:0.835589:0.896297:0.835589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Un ángulo recto tiene una medida igual a 90°.  :@0.293873:0.878665:0.659651:0.878665:0.659651:0.862952:0.293873:0.862952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.715862:0.878665:0.719893:0.878665:0.719893:0.862952:0.715862:0.862952:0.000000
 :@0.776105:0.878665:0.780136:0.878665:0.780136:0.862952:0.776105:0.862952:0.000000
 :@0.836346:0.878665:0.840377:0.878665:0.840377:0.862952:0.836346:0.862952:0.000000
(     ):@0.896297:0.878665:0.925767:0.878665:0.925767:0.862952:0.896297:0.862952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  Dos rectas paralelas, coplanares, pueden tener un punto de corte.        :@0.293873:0.906028:0.840499:0.906028:0.840499:0.890316:0.293873:0.890316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(     ):@0.896297:0.906028:0.925767:0.906028:0.925767:0.890316:0.896297:0.890316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.772499:0.187141:0.772499:0.187141:0.755552:0.078581:0.755552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.789141:0.176057:0.789141:0.176057:0.772194:0.078581:0.772194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se desea controvertir :@0.079530:0.810123:0.236033:0.810123:0.236033:0.795839:0.079530:0.795839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una generalización, :@0.079530:0.825252:0.211074:0.825252:0.211074:0.810968:0.079530:0.810968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiendo el razonamiento :@0.079530:0.840381:0.259757:0.840381:0.259757:0.826097:0.079530:0.826097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inductivo, se busca :@0.079530:0.855510:0.208814:0.855510:0.208814:0.841226:0.079530:0.841226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un contraejemplo :@0.079530:0.870639:0.201955:0.870639:0.201955:0.856355:0.079530:0.856355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que contradiga la :@0.079530:0.885768:0.199009:0.885768:0.199009:0.871484:0.079530:0.871484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
generalización. En ese :@0.079530:0.900897:0.228327:0.900897:0.228327:0.886613:0.079530:0.886613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso, esa generalización :@0.079530:0.916026:0.240806:0.916026:0.240806:0.901742:0.079530:0.901742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
queda invalidada.:@0.079530:0.931155:0.195706:0.931155:0.195706:0.916871:0.079530:0.916871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra de :@0.077449:0.242110:0.166771:0.242110:0.166771:0.225163:0.077449:0.225163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciudadania y :@0.077449:0.254717:0.181248:0.254717:0.181248:0.237770:0.077449:0.237770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
democracia:@0.077449:0.267323:0.169298:0.267323:0.169298:0.250376:0.077449:0.250376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al igual que en la :@0.077449:0.289248:0.192060:0.289248:0.192060:0.274963:0.077449:0.274963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demostración de teoremas, :@0.077449:0.304377:0.257856:0.304377:0.257856:0.290092:0.077449:0.290092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una democracia efectiva :@0.077449:0.319506:0.238953:0.319506:0.238953:0.305221:0.077449:0.305221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
requiere un razonamiento :@0.077449:0.334635:0.249064:0.334635:0.249064:0.320350:0.077449:0.320350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
claro y estructurado. Los :@0.077449:0.349763:0.236645:0.349763:0.236645:0.335479:0.077449:0.335479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciudadanos deben analizar :@0.077449:0.364892:0.254209:0.364892:0.254209:0.350608:0.077449:0.350608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la información, evaluar :@0.077449:0.380021:0.226327:0.380021:0.226327:0.365737:0.077449:0.365737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
argumentos y tomar :@0.077449:0.395150:0.213397:0.395150:0.213397:0.380866:0.077449:0.380866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decisiones basadas en :@0.077449:0.410279:0.224607:0.410279:0.224607:0.395995:0.077449:0.395995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
principios sólidos, similares :@0.077449:0.425408:0.253821:0.425408:0.253821:0.411124:0.077449:0.411124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a cómo se construye un :@0.077449:0.440537:0.235561:0.440537:0.235561:0.426253:0.077449:0.426253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teorema a partir de axiomas.:@0.077449:0.455666:0.260091:0.455666:0.260091:0.441382:0.077449:0.441382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los principios :@0.077449:0.470795:0.169673:0.470795:0.169673:0.456511:0.077449:0.456511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamentales como :@0.077449:0.485924:0.220173:0.485924:0.220173:0.471640:0.077449:0.471640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la igualdad ante la ley, :@0.077449:0.501053:0.222279:0.501053:0.222279:0.486769:0.077449:0.486769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
actúan como  axiomas que :@0.077449:0.516182:0.256010:0.516182:0.256010:0.501898:0.077449:0.501898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamentan las leyes  :@0.077449:0.531311:0.228991:0.531311:0.228991:0.517026:0.077449:0.517026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y normas de una sociedad.:@0.077449:0.546440:0.249728:0.546440:0.249728:0.532155:0.077449:0.532155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así, evalúan políticas  :@0.077449:0.561569:0.216374:0.561569:0.216374:0.547284:0.077449:0.547284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y decisiones usando esos :@0.077449:0.576698:0.243431:0.576698:0.243431:0.562413:0.077449:0.562413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
principios como premisas, :@0.077449:0.591826:0.249487:0.591826:0.249487:0.577542:0.077449:0.577542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y llegan a conclusiones :@0.077449:0.606955:0.229994:0.606955:0.229994:0.592671:0.077449:0.592671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
informadas que benefician :@0.077449:0.622084:0.253526:0.622084:0.253526:0.607800:0.077449:0.607800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la sociedad.:@0.077449:0.637213:0.163222:0.637213:0.163222:0.622929:0.077449:0.622929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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