141:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.820728:0.967458:0.879897:0.967458:0.879897:0.954794:0.820728:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Negación (:@0.105857:0.110699:0.193959:0.110699:0.193959:0.093798:0.105857:0.093798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.214554:0.110699:0.220101:0.110699:0.220101:0.093798:0.214554:0.093798:0.000000
. Su función es negar la proposición. Sea  una proposición, la :@0.220101:0.110699:0.707069:0.110699:0.707069:0.094310:0.220101:0.094310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 p:@0.535342:0.110699:0.550471:0.110699:0.550471:0.095306:0.535342:0.095306:0.000000:0.000000
negación de   es la proposición ~ , que se lee “no  ”, lo que cambia el valor de :@0.105849:0.127295:0.706966:0.127295:0.706966:0.110907:0.105849:0.110907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.204050:0.127295:0.213319:0.127295:0.213319:0.111902:0.204050:0.111902:0.000000
 p:@0.360611:0.127295:0.374119:0.127295:0.374119:0.111902:0.360611:0.111902:0.000000:0.000000
p:@0.492393:0.127295:0.501662:0.127295:0.501662:0.111902:0.492393:0.111902:0.000000
verdad de la proposición.:@0.105849:0.143892:0.290842:0.143892:0.290842:0.127503:0.105849:0.127503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.096359:0.185037:0.155954:0.185037:0.155954:0.168399:0.096359:0.168399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea el siguiente enunciado: “Carlos nació en 1993”.:@0.096359:0.208756:0.462990:0.208756:0.462990:0.192367:0.096359:0.192367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La proposición es: :@0.096359:0.232475:0.231765:0.232475:0.231765:0.216086:0.096359:0.216086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.096359:0.256194:0.105628:0.256194:0.105628:0.240801:0.096359:0.240801:0.000000
: Carlos nació en 1993, ~  : Carlos no nació en 1993.:@0.105628:0.256194:0.482510:0.256194:0.482510:0.239805:0.105628:0.239805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.287103:0.256194:0.296373:0.256194:0.296373:0.240801:0.287103:0.240801:0.000000
Su tabla de verdad es::@0.096359:0.279913:0.256106:0.279913:0.256106:0.263524:0.096359:0.263524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.310768:0.160137:0.310768:0.160137:0.294130:0.096359:0.294130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tabla de la negación:@0.109269:0.339527:0.256874:0.339527:0.256874:0.324162:0.109269:0.324162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.135436:0.368042:0.144231:0.368042:0.144231:0.352917:0.135436:0.352917:0.000000
~p:@0.216903:0.368042:0.235682:0.368042:0.235682:0.352917:0.216903:0.352917:0.000000:0.000000
V:@0.135570:0.396558:0.144097:0.396558:0.144097:0.381659:0.135570:0.381659:0.000000
F:@0.222431:0.396558:0.230171:0.396558:0.230171:0.381659:0.222431:0.381659:0.000000
F:@0.135972:0.425073:0.143712:0.425073:0.143712:0.410174:0.135972:0.410174:0.000000
V:@0.222046:0.425073:0.230573:0.425073:0.230573:0.410174:0.222046:0.410174:0.000000
 :@0.269781:0.386102:0.273817:0.386102:0.273817:0.369713:0.269781:0.369713:0.000000
  El valor de  :  V, significa que Carlos nació en 1993, y :@0.295713:0.386102:0.716595:0.386102:0.716595:0.369713:0.295713:0.369713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.386561:0.386102:0.395830:0.386102:0.395830:0.370709:0.386561:0.370709:0.000000
~:@0.295709:0.402698:0.306692:0.402698:0.306692:0.386061:0.295709:0.386061:0.000000
p:@0.306692:0.402698:0.315961:0.402698:0.315961:0.387305:0.306692:0.387305:0.000000
: F, significa que no nació en ese año.:@0.315961:0.402698:0.583895:0.402698:0.583895:0.386310:0.315961:0.386310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.096359:0.464409:0.162827:0.464409:0.162827:0.447771:0.096359:0.447771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.096359:0.488128:0.113534:0.488128:0.113534:0.471504:0.096359:0.471504:0.000000:0.000000:0.000000
Determina el valor de verdad de las siguientes proposiciones, luego anota la pro­:@0.120094:0.488128:0.712500:0.488128:0.712500:0.471739:0.120094:0.471739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posición compuesta y escribe su valor de verdad.:@0.120094:0.504725:0.479648:0.504725:0.479648:0.488336:0.120094:0.488336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.120094:0.528444:0.129363:0.528444:0.129363:0.513050:0.120094:0.513050:0.000000
: un paralelogramo tiene dos diagonales iguales.:@0.129363:0.528444:0.482691:0.528444:0.482691:0.512055:0.129363:0.512055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.120094:0.552163:0.129363:0.552163:0.129363:0.536769:0.120094:0.536769:0.000000
: todo cuadrilátero es un paralelogramo.:@0.129363:0.552163:0.421421:0.552163:0.421421:0.535774:0.129363:0.535774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.120094:0.575882:0.125382:0.575882:0.125382:0.560488:0.120094:0.560488:0.000000
: un triángulo no tiene diagonales.:@0.125382:0.575882:0.375313:0.575882:0.375313:0.559493:0.125382:0.559493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.120094:0.599601:0.135002:0.599601:0.135002:0.582700:0.120094:0.582700:0.000000:0.000000
p:@0.144934:0.599601:0.154203:0.599601:0.154203:0.584207:0.144934:0.584207:0.000000
→:@0.158239:0.599186:0.176427:0.599186:0.176427:0.582244:0.158239:0.582244:0.000000
q:@0.180463:0.599601:0.189732:0.599601:0.189732:0.584207:0.180463:0.584207:0.000000
b):@0.287325:0.599601:0.303541:0.599601:0.303541:0.582700:0.287325:0.582700:0.000000:0.000000
∼  ↔ :@0.307577:0.599186:0.358695:0.599186:0.358695:0.582244:0.307577:0.582244:0.000000:0.000000:0.000000:0.000000:0.000000
p :@0.322300:0.599601:0.334886:0.599601:0.334886:0.584207:0.322300:0.584207:0.000000:0.000000
r :@0.358695:0.599601:0.368167:0.599601:0.368167:0.583212:0.358695:0.583212:0.000000:0.000000
c):@0.476632:0.599601:0.490452:0.599601:0.490452:0.582700:0.476632:0.582700:0.000000:0.000000
∼  ↔ :@0.494488:0.599186:0.550490:0.599186:0.550490:0.582244:0.494488:0.582244:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.509212:0.599601:0.514095:0.599601:0.514095:0.583212:0.509212:0.583212:0.000000
p :@0.514095:0.599601:0.526681:0.599601:0.526681:0.584207:0.514095:0.584207:0.000000:0.000000
q:@0.550490:0.599601:0.559759:0.599601:0.559759:0.584207:0.550490:0.584207:0.000000
)  :@0.559759:0.599601:0.582867:0.599601:0.582867:0.583212:0.559759:0.583212:0.000000:0.000000:0.000000
Solución:@0.096359:0.630456:0.160137:0.630456:0.160137:0.613818:0.096359:0.613818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096359:0.654175:0.114381:0.654175:0.114381:0.637551:0.096359:0.637551:0.000000:0.000000:0.000000
p:@0.120094:0.654175:0.129363:0.654175:0.129363:0.638782:0.120094:0.638782:0.000000
→:@0.133435:0.653760:0.151623:0.653760:0.151623:0.636818:0.133435:0.636818:0.000000
q:@0.155696:0.654175:0.164965:0.654175:0.164965:0.638782:0.155696:0.638782:0.000000
: si un paralelogramo tiene dos diagonales iguales, entonces todo cuadrilá­:@0.164965:0.654175:0.712430:0.654175:0.712430:0.637786:0.164965:0.637786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tero es un paralelogramo.:@0.120075:0.670771:0.307556:0.670771:0.307556:0.654382:0.120075:0.654382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v p:@0.120075:0.701627:0.141967:0.701627:0.141967:0.686234:0.120075:0.686234:0.000000:0.000000:0.000000
( ) =  ;  ( ) =  . Luego miramos en la tabla del condicional. Para la combinación :@0.127815:0.701627:0.716504:0.701627:0.716504:0.685238:0.127815:0.685238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V v q:@0.166200:0.701627:0.204603:0.701627:0.204603:0.686234:0.166200:0.686234:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.228835:0.701627:0.236888:0.701627:0.236888:0.686234:0.228835:0.686234:0.000000
V:@0.120075:0.718223:0.129197:0.718223:0.129197:0.702830:0.120075:0.702830:0.000000
→ :@0.133233:0.717808:0.156028:0.717808:0.156028:0.700866:0.133233:0.700866:0.000000:0.000000
F:@0.156028:0.718223:0.164081:0.718223:0.164081:0.702830:0.156028:0.702830:0.000000
, resulta  , entonces  (:@0.164081:0.718223:0.324217:0.718223:0.324217:0.701834:0.164081:0.701834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.224155:0.718223:0.232207:0.718223:0.232207:0.702830:0.224155:0.702830:0.000000
v p :@0.311594:0.718223:0.336803:0.718223:0.336803:0.702830:0.311594:0.702830:0.000000:0.000000:0.000000:0.000000
→ :@0.336803:0.717808:0.359598:0.717808:0.359598:0.700866:0.336803:0.700866:0.000000:0.000000
q:@0.359598:0.718223:0.368867:0.718223:0.368867:0.702830:0.359598:0.702830:0.000000
) = :@0.368867:0.718223:0.392804:0.718223:0.392804:0.701834:0.368867:0.701834:0.000000:0.000000:0.000000:0.000000
F:@0.392804:0.718223:0.400857:0.718223:0.400857:0.702830:0.392804:0.702830:0.000000
b) :@0.096341:0.749079:0.115911:0.749079:0.115911:0.732455:0.096341:0.732455:0.000000:0.000000:0.000000
∼  ↔ :@0.120075:0.748664:0.170659:0.748664:0.170659:0.731722:0.120075:0.731722:0.000000:0.000000:0.000000:0.000000:0.000000
p :@0.134486:0.749079:0.147072:0.749079:0.147072:0.733685:0.134486:0.733685:0.000000:0.000000
q:@0.170346:0.749079:0.179615:0.749079:0.179615:0.733685:0.170346:0.733685:0.000000
: un paralelogramo no tiene dos diagonales iguales si y solo si un triángu­:@0.179615:0.749079:0.712540:0.749079:0.712540:0.732690:0.179615:0.732690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo no tiene diagonales.:@0.120094:0.765675:0.285922:0.765675:0.285922:0.749286:0.120094:0.749286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.120102:0.796544:0.127764:0.796544:0.127764:0.781151:0.120102:0.781151:0.000000
(:@0.127582:0.796544:0.132416:0.796544:0.132416:0.780155:0.127582:0.780155:0.000000
∼ :@0.132234:0.796129:0.146628:0.796129:0.146628:0.779187:0.132234:0.779187:0.000000:0.000000
p:@0.146336:0.796544:0.155513:0.796544:0.155513:0.781151:0.146336:0.781151:0.000000
) =  ;  (r) =  . Para :@0.155330:0.796544:0.282121:0.796544:0.282121:0.780155:0.155330:0.780155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F v:@0.178116:0.796544:0.200282:0.796544:0.200282:0.781151:0.178116:0.781151:0.000000:0.000000:0.000000
V:@0.232737:0.796544:0.241767:0.796544:0.241767:0.781151:0.232737:0.781151:0.000000
F :@0.281848:0.796544:0.292922:0.796544:0.292922:0.781151:0.281848:0.781151:0.000000:0.000000
↔ :@0.292666:0.796129:0.316054:0.796129:0.316054:0.779187:0.292666:0.779187:0.000000:0.000000
V:@0.315762:0.796544:0.324793:0.796544:0.324793:0.781151:0.315762:0.781151:0.000000
, en la tabla del bicondicional tenemos  ,  (:@0.324610:0.796544:0.627468:0.796544:0.627468:0.780155:0.324610:0.780155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F v:@0.600650:0.796544:0.622816:0.796544:0.622816:0.781151:0.600650:0.781151:0.000000:0.000000:0.000000
∼  ↔ :@0.627286:0.796129:0.676798:0.796129:0.676798:0.779187:0.627286:0.779187:0.000000:0.000000:0.000000:0.000000:0.000000
p :@0.641388:0.796544:0.653666:0.796544:0.653666:0.781151:0.641388:0.781151:0.000000:0.000000
r) = :@0.676506:0.796544:0.704765:0.796544:0.704765:0.780155:0.676506:0.780155:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.704492:0.796544:0.712464:0.796544:0.712464:0.781151:0.704492:0.781151:0.000000
c) :@0.096359:0.827397:0.113755:0.827397:0.113755:0.810773:0.096359:0.810773:0.000000:0.000000:0.000000
∼  ↔ :@0.120094:0.826982:0.177017:0.826982:0.177017:0.810040:0.120094:0.810040:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.135352:0.827397:0.140235:0.827397:0.140235:0.811008:0.135352:0.811008:0.000000
p :@0.140235:0.827397:0.152821:0.827397:0.152821:0.812004:0.140235:0.812004:0.000000:0.000000
q:@0.177551:0.827397:0.186820:0.827397:0.186820:0.812004:0.177551:0.812004:0.000000
): no es cierto que si un paralelogramo tiene dos diagonales iguales si y :@0.186820:0.827397:0.716613:0.827397:0.716613:0.811008:0.186820:0.811008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo si todo cuadrilátero es un paralelogramo.:@0.120094:0.843993:0.454089:0.843993:0.454089:0.827605:0.120094:0.827605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v p:@0.120094:0.874849:0.141986:0.874849:0.141986:0.859456:0.120094:0.859456:0.000000:0.000000:0.000000
( ) =  ;  ( ) =  . Para :@0.127834:0.874849:0.294346:0.874849:0.294346:0.858460:0.127834:0.858460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V v q:@0.171267:0.874849:0.212195:0.874849:0.212195:0.859456:0.171267:0.859456:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.241477:0.874849:0.249530:0.874849:0.249530:0.859456:0.241477:0.859456:0.000000
V :@0.297018:0.874849:0.309456:0.874849:0.309456:0.859456:0.297018:0.859456:0.000000:0.000000
↔ :@0.311649:0.874434:0.335458:0.874434:0.335458:0.857492:0.311649:0.857492:0.000000:0.000000
F:@0.338498:0.874849:0.346551:0.874849:0.346551:0.859456:0.338498:0.859456:0.000000
, en la tabla del bicondicional tenemos  , luego :@0.346551:0.874849:0.716560:0.874849:0.716560:0.858460:0.346551:0.858460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.652100:0.874849:0.660153:0.874849:0.660153:0.859456:0.652100:0.859456:0.000000
hacemos la negación  [  (:@0.120094:0.891445:0.320181:0.891445:0.320181:0.875056:0.120094:0.875056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v :@0.280599:0.891445:0.291655:0.891445:0.291655:0.876052:0.280599:0.876052:0.000000:0.000000
∼  ↔ :@0.300574:0.891030:0.356576:0.891030:0.356576:0.874088:0.300574:0.874088:0.000000:0.000000:0.000000:0.000000:0.000000
p :@0.320181:0.891445:0.332767:0.891445:0.332767:0.876052:0.320181:0.876052:0.000000:0.000000
q:@0.356576:0.891445:0.365845:0.891445:0.365845:0.876052:0.356576:0.876052:0.000000
)] = :@0.365845:0.891445:0.394666:0.891445:0.394666:0.875056:0.365845:0.875056:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.394666:0.891445:0.403787:0.891445:0.403787:0.876052:0.394666:0.876052:0.000000
Interdisciplinariedad:@0.750200:0.108682:0.907406:0.108682:0.907406:0.091782:0.750200:0.091782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática :@0.755005:0.138391:0.844044:0.138391:0.844044:0.123027:0.755005:0.123027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y programación:@0.755005:0.153479:0.869323:0.153479:0.869323:0.138115:0.755005:0.138115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema binario se ha :@0.755005:0.172125:0.912944:0.172125:0.912944:0.157225:0.755005:0.157225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizado desde la :@0.755005:0.187212:0.874901:0.187212:0.874901:0.172313:0.755005:0.172313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
antigüedad hasta :@0.755005:0.202300:0.875186:0.202300:0.875186:0.187401:0.755005:0.187401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nuestros días. Hoy se :@0.755005:0.217387:0.897348:0.217387:0.897348:0.202488:0.755005:0.202488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizan circuitos lógicos :@0.755005:0.232475:0.917384:0.232475:0.917384:0.217576:0.755005:0.217576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicando lógica :@0.755005:0.247563:0.868350:0.247563:0.868350:0.232664:0.755005:0.232664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática. Los valores :@0.755005:0.262650:0.917685:0.262650:0.917685:0.247751:0.755005:0.247751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de verdad V y F pueden :@0.755005:0.277738:0.915960:0.277738:0.915960:0.262839:0.755005:0.262839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ser reemplazados por los :@0.755005:0.292825:0.924572:0.292825:0.924572:0.277926:0.755005:0.277926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores binarios 1 :@0.755005:0.307913:0.874012:0.307913:0.874012:0.293014:0.755005:0.293014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y 0, respectivamente.:@0.755005:0.323001:0.895587:0.323001:0.895587:0.308102:0.755005:0.308102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga: ¿por qué se utiliza :@0.755005:0.453568:0.921972:0.453568:0.921972:0.439574:0.755005:0.439574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el sistema binario en los :@0.755005:0.468655:0.908306:0.468655:0.908306:0.454661:0.755005:0.454661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
computadores?:@0.755005:0.483743:0.853959:0.483743:0.853959:0.469749:0.755005:0.469749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.942184:0.402047:0.942184:0.396940:0.930102:0.396940:0.930102:0.402047:0.000000
Shutterstock:@0.942184:0.396940:0.942184:0.359222:0.930273:0.359222:0.930273:0.396940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.641115:0.340033:0.641115:0.334926:0.629033:0.334926:0.629033:0.340033:0.000000
Shutterstock:@0.641115:0.334926:0.641115:0.297208:0.629204:0.297208:0.629204:0.334926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si has tenido experiencias :@0.755005:0.675930:0.930667:0.675930:0.930667:0.661031:0.755005:0.661031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positivas en tu actuar :@0.755005:0.691018:0.900749:0.691018:0.900749:0.676119:0.755005:0.676119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
académico o personal, :@0.755005:0.706105:0.908790:0.706105:0.908790:0.691206:0.755005:0.691206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
procura transmitirlas a tus :@0.755005:0.721193:0.930769:0.721193:0.930769:0.706294:0.755005:0.706294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compañeros sin :@0.755005:0.736280:0.865051:0.736280:0.865051:0.721381:0.755005:0.721381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menospreciar sus :@0.755005:0.751368:0.875369:0.751368:0.875369:0.736469:0.755005:0.736469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
capacidades.:@0.755005:0.766456:0.840842:0.766456:0.840842:0.751557:0.755005:0.751557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        Socioemocional:@0.754820:0.643488:0.904464:0.643488:0.904464:0.626587:0.754820:0.626587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.942184:0.855229:0.942184:0.850122:0.930102:0.850122:0.930102:0.855229:0.000000
Shutterstock:@0.942184:0.850122:0.942184:0.812403:0.930273:0.812403:0.930273:0.850122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.63.:@0.741202:0.692314:0.741202:0.662161:0.727306:0.662161:0.727306:0.692314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000