61:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000 Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluación formativa:@0.131741:0.098522:0.446635:0.098522:0.446635:0.067281:0.131741:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5. Resuelve gráficamente los sistemas de ecuaciones.:@0.514231:0.687197:0.926883:0.687197:0.926883:0.670527:0.514231:0.670527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.527482:0.687197:0.531385:0.687197:0.531385:0.670527:0.527482:0.670527:0.000000 :@0.926906:0.687197:0.930938:0.687197:0.930938:0.670763:0.926906:0.670763:0.000000 a. :@0.545774:0.728567:0.561218:0.728567:0.561218:0.712133:0.545774:0.712133:0.000000:0.000000:0.000000 5 + 2 = –3:@0.585383:0.716993:0.674530:0.716993:0.674530:0.700559:0.585383:0.700559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.594366:0.716993:0.601821:0.716993:0.601821:0.700587:0.594366:0.700587:0.000000 y:@0.629837:0.716993:0.637310:0.716993:0.637310:0.700587:0.629837:0.700587:0.000000 3 + 2 = –1:@0.585383:0.740777:0.674530:0.740777:0.674530:0.724343:0.585383:0.724343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.594366:0.740777:0.601821:0.740777:0.601821:0.724371:0.594366:0.724371:0.000000 y:@0.629837:0.740777:0.637310:0.740777:0.637310:0.724371:0.629837:0.724371:0.000000 :@0.699225:0.728567:0.744347:0.728567:0.744347:0.712133:0.699225:0.712133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d.:@0.726880:0.728724:0.740408:0.728724:0.740408:0.711544:0.726880:0.711544:0.000000:0.000000 –3 + 2 = 5:@0.764606:0.715086:0.853753:0.715086:0.853753:0.698652:0.764606:0.698652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.782793:0.715086:0.790248:0.715086:0.790248:0.698680:0.782793:0.698680:0.000000 y:@0.818264:0.715086:0.825737:0.715086:0.825737:0.698680:0.818264:0.698680:0.000000 –6 + 4 = 10:@0.764606:0.738870:0.862735:0.738870:0.862735:0.722436:0.764606:0.722436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.782793:0.738870:0.790248:0.738870:0.790248:0.722464:0.782793:0.722464:0.000000 y:@0.818264:0.738870:0.825737:0.738870:0.825737:0.722464:0.818264:0.722464:0.000000 b. :@0.545774:0.787270:0.562672:0.787270:0.562672:0.770836:0.545774:0.770836:0.000000:0.000000:0.000000 x:@0.585383:0.774803:0.592838:0.774803:0.592838:0.758397:0.585383:0.758397:0.000000 = 2:@0.592838:0.774803:0.620854:0.774803:0.620854:0.758370:0.592838:0.758370:0.000000:0.000000:0.000000:0.000000 y – 3 = 0:@0.585383:0.798587:0.655202:0.798587:0.655202:0.782154:0.585383:0.782154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.619731:0.798587:0.627186:0.798587:0.627186:0.782181:0.619731:0.782181:0.000000 :@0.699232:0.787271:0.743231:0.787270:0.743231:0.770836:0.699232:0.770837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e.:@0.726880:0.787427:0.739292:0.787427:0.739292:0.770246:0.726880:0.770246:0.000000:0.000000 x y:@0.764606:0.773751:0.797850:0.773751:0.797850:0.757345:0.764606:0.757345:0.000000:0.000000:0.000000:0.000000 + = 4:@0.772061:0.773751:0.825866:0.773751:0.825866:0.757317:0.772061:0.757317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 + = –2:@0.764606:0.797535:0.844770:0.797535:0.844770:0.781101:0.764606:0.781101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.773589:0.797535:0.781044:0.797535:0.781044:0.781129:0.773589:0.781129:0.000000 y:@0.800077:0.797535:0.807550:0.797535:0.807550:0.781129:0.800077:0.781129:0.000000 c. :@0.545774:0.847620:0.560850:0.847620:0.560850:0.831186:0.545774:0.831186:0.000000:0.000000:0.000000 2 + = –2:@0.585383:0.834825:0.665547:0.834825:0.665547:0.818391:0.585383:0.818391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.594366:0.834825:0.601821:0.834825:0.601821:0.818419:0.594366:0.818419:0.000000 y:@0.620854:0.834825:0.628327:0.834825:0.628327:0.818419:0.620854:0.818419:0.000000 2 + = 4:@0.585383:0.858609:0.656343:0.858609:0.656343:0.842175:0.585383:0.842175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.594366:0.858609:0.601821:0.858609:0.601821:0.842203:0.594366:0.842203:0.000000 y:@0.620854:0.858609:0.628327:0.858609:0.628327:0.842203:0.620854:0.842203:0.000000 :@0.699232:0.847611:0.738555:0.847620:0.738555:0.831186:0.699232:0.831178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f.:@0.726880:0.847778:0.734616:0.847778:0.734616:0.830597:0.726880:0.830597:0.000000:0.000000 3 + = 6:@0.764606:0.832454:0.835566:0.832454:0.835566:0.816020:0.764606:0.816020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.773589:0.832454:0.781044:0.832454:0.781044:0.816047:0.773589:0.816047:0.000000 y:@0.800077:0.832454:0.807550:0.832454:0.807550:0.816047:0.800077:0.816047:0.000000 x:@0.764606:0.856237:0.772061:0.856237:0.772061:0.839831:0.764606:0.839831:0.000000 – 3 = –1:@0.772061:0.856237:0.843003:0.856237:0.843003:0.839804:0.772061:0.839804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.798310:0.856237:0.805783:0.856237:0.805783:0.839831:0.798310:0.839831:0.000000 1. Comprueba si los siguientes puntos son solución :@0.073089:0.138028:0.489522:0.138028:0.489522:0.121358:0.073089:0.121358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de los sistemas de ecuaciones.:@0.103214:0.154669:0.332707:0.154669:0.332707:0.138000:0.103214:0.138000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Punto:@0.190466:0.184359:0.237875:0.184359:0.237875:0.167412:0.190466:0.167412:0.000000:0.000000:0.000000:0.000000:0.000000 Sistema:@0.323123:0.184359:0.385428:0.184359:0.385428:0.167412:0.323123:0.167412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. (1, 2):@0.185933:0.213851:0.247570:0.213851:0.247570:0.198912:0.185933:0.198912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 + 3 = 8:@0.307548:0.206287:0.380223:0.206287:0.380223:0.191347:0.307548:0.191347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.315714:0.206287:0.322491:0.206287:0.322491:0.191372:0.315714:0.191372:0.000000 y:@0.347960:0.206287:0.354754:0.206287:0.354754:0.191372:0.347960:0.191372:0.000000 x y:@0.307548:0.221416:0.336162:0.221416:0.336162:0.206501:0.307548:0.206501:0.000000:0.000000:0.000000:0.000000 – = –1:@0.314325:0.221416:0.369998:0.221416:0.369998:0.206476:0.314325:0.206476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. (–3, 4):@0.185933:0.252997:0.255870:0.252997:0.255870:0.238058:0.185933:0.238058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.307548:0.245433:0.317337:0.245433:0.317337:0.230518:0.307548:0.230518:0.000000:0.000000 – 2 = 4:@0.317337:0.245433:0.369798:0.245433:0.369798:0.230493:0.317337:0.230493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.337535:0.245433:0.344329:0.245433:0.344329:0.230518:0.337535:0.230518:0.000000 6 – = 1:@0.307548:0.260562:0.370450:0.260562:0.370450:0.245622:0.307548:0.245622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.315714:0.260562:0.344981:0.260562:0.344981:0.245647:0.315714:0.245647:0.000000:0.000000:0.000000 c. (5, 13):@0.185933:0.293179:0.255669:0.293179:0.255669:0.278239:0.185933:0.278239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.307548:0.285614:0.314325:0.285614:0.314325:0.270700:0.307548:0.270700:0.000000 + = 18:@0.314325:0.285614:0.372057:0.285614:0.372057:0.270674:0.314325:0.270674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.331628:0.285614:0.338422:0.285614:0.338422:0.270700:0.331628:0.270700:0.000000 x y:@0.307548:0.300743:0.336815:0.300743:0.336815:0.285829:0.307548:0.285829:0.000000:0.000000:0.000000 – = –8:@0.314325:0.300743:0.370651:0.300743:0.370651:0.285803:0.314325:0.285803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. (4, 0):@0.185933:0.335172:0.247570:0.335172:0.247570:0.320232:0.185933:0.320232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.307548:0.327607:0.314325:0.327607:0.314325:0.312693:0.307548:0.312693:0.000000 + = 4:@0.314325:0.327607:0.363890:0.327607:0.363890:0.312667:0.314325:0.312667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.331628:0.327607:0.338422:0.327607:0.338422:0.312693:0.331628:0.312693:0.000000 3 + 5 = 12:@0.307548:0.342736:0.388389:0.342736:0.388389:0.327796:0.307548:0.327796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.315714:0.342736:0.322491:0.342736:0.322491:0.327821:0.315714:0.327821:0.000000 y:@0.347960:0.342736:0.354754:0.342736:0.354754:0.327821:0.347960:0.327821:0.000000 2. Determina si cada enunciado es verdadero (V) o :@0.073089:0.382128:0.489680:0.382128:0.489680:0.365458:0.073089:0.365458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 falso (F). :@0.103214:0.398770:0.169572:0.398770:0.169572:0.382100:0.103214:0.382100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Un sistema de ecuaciones tiene única solución :@0.104633:0.423630:0.490050:0.423630:0.490050:0.407197:0.104633:0.407197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuando las rectas se cortan en un solo punto. :@0.134760:0.440272:0.466831:0.440272:0.466831:0.423839:0.134760:0.423839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Si dos rectas son perpendiculares, entonces sus :@0.104633:0.465134:0.489529:0.465134:0.489529:0.448700:0.104633:0.448700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pendientes son iguales. :@0.134760:0.481776:0.309412:0.481776:0.309412:0.465342:0.134760:0.465342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. Si dos rectas son paralelas, el sistema de ecuacio-:@0.104633:0.506638:0.485768:0.506638:0.485768:0.490204:0.104633:0.490204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nes no tiene solución. :@0.134760:0.523280:0.297168:0.523280:0.297168:0.506846:0.134760:0.506846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. Dos rectas son coincidentes cuando los coefi-:@0.104633:0.548140:0.485768:0.548140:0.485768:0.531707:0.104633:0.531707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cientes de una de ellas es múltiplo de los coefi-:@0.134760:0.564782:0.485768:0.564782:0.485768:0.548348:0.134760:0.548348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cientes de la otra ecuación. :@0.134760:0.581424:0.335797:0.581424:0.335797:0.564990:0.134760:0.564990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e. Un sistema lineal cuyas ecuaciones son coinci-:@0.104633:0.606286:0.485768:0.606286:0.485768:0.589852:0.104633:0.589852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dentes no tiene solución. :@0.134760:0.622928:0.321456:0.622928:0.321456:0.606494:0.134760:0.606494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. Encuentra un sistema de ecuaciones lineales co-:@0.073089:0.657438:0.485770:0.657438:0.485770:0.640769:0.073089:0.640769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 rrespondiente al gráfico y halla su solución.:@0.101555:0.674080:0.430841:0.674080:0.430841:0.657410:0.101555:0.657410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.701443:0.120077:0.701443:0.120077:0.685009:0.104633:0.685009:0.000000:0.000000:0.000000 b. :@0.545774:0.138434:0.583651:0.138434:0.583651:0.122000:0.545774:0.122000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.575976:0.138434:0.579694:0.138434:0.579694:0.121251:0.575976:0.121251:0.000000 :@0.514231:0.166868:0.517949:0.166868:0.517949:0.149686:0.514231:0.149686:0.000000 c. :@0.545774:0.340541:0.560850:0.340541:0.560850:0.324107:0.545774:0.324107:0.000000:0.000000:0.000000 4. Encuentra dos sistemas de ecuaciones lineales que :@0.514231:0.548713:0.930919:0.548713:0.930919:0.532043:0.514231:0.532043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tengan como solución el punto dado. (Recuerda: :@0.544355:0.565355:0.930838:0.565355:0.930838:0.548685:0.544355:0.548685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 para que un punto pertenezca a la recta, reemplazas :@0.544355:0.581996:0.930981:0.581996:0.930981:0.565327:0.544355:0.565327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las coordenadas en la ecuación).:@0.544355:0.598638:0.782939:0.598638:0.782939:0.581969:0.544355:0.581969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. (–2, 1) :@0.545774:0.624414:0.629960:0.624414:0.629960:0.607233:0.545774:0.607233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. (0,5; –1):@0.720059:0.624414:0.814739:0.624414:0.814739:0.607233:0.720059:0.607233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. (3, –2) :@0.545774:0.650283:0.625822:0.650283:0.625822:0.633103:0.545774:0.633103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.625687:0.650126:0.629718:0.650126:0.629718:0.633692:0.625687:0.633692:0.000000 d. (0, 4):@0.720057:0.650283:0.787511:0.650283:0.787511:0.633103:0.720057:0.633103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.733495:0.649495:0.751703:0.649495:0.751703:0.636050:0.733495:0.636050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.212914:0.703092:0.219029:0.703092:0.219029:0.689669:0.212914:0.689669:0.000000 x:@0.458280:0.805780:0.464379:0.805780:0.464379:0.792357:0.458280:0.792357:0.000000 0:@0.221616:0.811647:0.227332:0.811647:0.227332:0.801190:0.221616:0.801190:0.000000 3:@0.219243:0.750205:0.224959:0.750205:0.224959:0.739747:0.219243:0.739747:0.000000 2:@0.219243:0.768074:0.224959:0.768074:0.224959:0.757616:0.219243:0.757616:0.000000 1:@0.219243:0.785943:0.224959:0.785943:0.224959:0.775486:0.219243:0.775486:0.000000 –1:@0.213386:0.821677:0.224959:0.821677:0.224959:0.811219:0.213386:0.811219:0.000000:0.000000 –2:@0.213386:0.839548:0.224959:0.839548:0.224959:0.829090:0.213386:0.829090:0.000000:0.000000 1:@0.251697:0.811647:0.257413:0.811647:0.257413:0.801190:0.251697:0.801190:0.000000 –1:@0.200391:0.811647:0.211964:0.811647:0.211964:0.801190:0.200391:0.801190:0.000000:0.000000 –2:@0.176670:0.811647:0.188243:0.811647:0.188243:0.801190:0.176670:0.801190:0.000000:0.000000 2:@0.275417:0.811647:0.281133:0.811647:0.281133:0.801190:0.275417:0.801190:0.000000 3:@0.299137:0.811647:0.304853:0.811647:0.304853:0.801190:0.299137:0.801190:0.000000 4:@0.322857:0.811647:0.328574:0.811647:0.328574:0.801190:0.322857:0.801190:0.000000 5:@0.346578:0.811647:0.352294:0.811647:0.352294:0.801190:0.346578:0.801190:0.000000 6:@0.370298:0.811647:0.376014:0.811647:0.376014:0.801190:0.370298:0.801190:0.000000 7:@0.394018:0.811647:0.399734:0.811647:0.399734:0.801190:0.394018:0.801190:0.000000 8:@0.417738:0.811647:0.423455:0.811647:0.423455:0.801190:0.417738:0.801190:0.000000 4:@0.219243:0.732337:0.224959:0.732337:0.224959:0.721879:0.219243:0.721879:0.000000 5:@0.219243:0.714465:0.224959:0.714465:0.224959:0.704008:0.219243:0.704008:0.000000 (0, 3):@0.236974:0.745350:0.262396:0.745350:0.262396:0.733398:0.236974:0.733398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (4, 3):@0.330527:0.754998:0.355949:0.754998:0.355949:0.743047:0.330527:0.743047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (1, 2):@0.260458:0.762502:0.285881:0.762502:0.285881:0.750551:0.260458:0.750551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (1, 0):@0.235893:0.794313:0.261315:0.794313:0.261315:0.782362:0.235893:0.782362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.653965:0.139798:0.660080:0.139798:0.660080:0.126375:0.653965:0.126375:0.000000 x:@0.907991:0.251302:0.914090:0.251302:0.914090:0.237879:0.907991:0.237879:0.000000 0:@0.663189:0.257178:0.668905:0.257178:0.668905:0.246720:0.663189:0.246720:0.000000 3:@0.660707:0.195736:0.666424:0.195736:0.666424:0.185278:0.660707:0.185278:0.000000 2:@0.660707:0.213604:0.666424:0.213604:0.666424:0.203146:0.660707:0.203146:0.000000 1:@0.660707:0.231473:0.666424:0.231473:0.666424:0.221015:0.660707:0.221015:0.000000 –1:@0.654851:0.267206:0.666424:0.267206:0.666424:0.256748:0.654851:0.256748:0.000000:0.000000 –2:@0.654851:0.285077:0.666424:0.285077:0.666424:0.274619:0.654851:0.274619:0.000000:0.000000 1:@0.694520:0.257178:0.700236:0.257178:0.700236:0.246720:0.694520:0.246720:0.000000 –1:@0.640988:0.257178:0.652561:0.257178:0.652561:0.246720:0.640988:0.246720:0.000000:0.000000 –2:@0.616179:0.257178:0.627752:0.257178:0.627752:0.246720:0.616179:0.246720:0.000000:0.000000 2:@0.719330:0.257178:0.725046:0.257178:0.725046:0.246720:0.719330:0.246720:0.000000 3:@0.744139:0.257178:0.749855:0.257178:0.749855:0.246720:0.744139:0.246720:0.000000 4:@0.768949:0.257178:0.774665:0.257178:0.774665:0.246720:0.768949:0.246720:0.000000 5:@0.793758:0.257178:0.799475:0.257178:0.799475:0.246720:0.793758:0.246720:0.000000 6:@0.818568:0.257178:0.824284:0.257178:0.824284:0.246720:0.818568:0.246720:0.000000 7:@0.843378:0.257178:0.849094:0.257178:0.849094:0.246720:0.843378:0.246720:0.000000 8:@0.868187:0.257178:0.873904:0.257178:0.873904:0.246720:0.868187:0.246720:0.000000 4:@0.660707:0.177867:0.666424:0.177867:0.666424:0.167409:0.660707:0.167409:0.000000 5:@0.660707:0.159996:0.666424:0.159996:0.666424:0.149538:0.660707:0.149538:0.000000 y:@0.653965:0.343909:0.660080:0.343909:0.660080:0.330485:0.653965:0.330485:0.000000 x:@0.907991:0.453938:0.914090:0.453938:0.914090:0.440514:0.907991:0.440514:0.000000 0:@0.663189:0.459810:0.668905:0.459810:0.668905:0.449352:0.663189:0.449352:0.000000 3:@0.660707:0.398368:0.666424:0.398368:0.666424:0.387910:0.660707:0.387910:0.000000 2:@0.660707:0.416236:0.666424:0.416236:0.666424:0.405778:0.660707:0.405778:0.000000 1:@0.660707:0.434106:0.666424:0.434106:0.666424:0.423648:0.660707:0.423648:0.000000 –1:@0.654851:0.469839:0.666424:0.469839:0.666424:0.459381:0.654851:0.459381:0.000000:0.000000 –2:@0.654851:0.487710:0.666424:0.487710:0.666424:0.477253:0.654851:0.477253:0.000000:0.000000 1:@0.694520:0.459810:0.700236:0.459810:0.700236:0.449352:0.694520:0.449352:0.000000 –1:@0.640988:0.459810:0.652561:0.459810:0.652561:0.449352:0.640988:0.449352:0.000000:0.000000 –2:@0.616179:0.459810:0.627752:0.459810:0.627752:0.449352:0.616179:0.449352:0.000000:0.000000 2:@0.719330:0.459810:0.725046:0.459810:0.725046:0.449352:0.719330:0.449352:0.000000 3:@0.744139:0.459810:0.749855:0.459810:0.749855:0.449352:0.744139:0.449352:0.000000 4:@0.768949:0.459810:0.774665:0.459810:0.774665:0.449352:0.768949:0.449352:0.000000 5:@0.793758:0.459810:0.799475:0.459810:0.799475:0.449352:0.793758:0.449352:0.000000 6:@0.818568:0.459810:0.824284:0.459810:0.824284:0.449352:0.818568:0.449352:0.000000 7:@0.843378:0.459810:0.849094:0.459810:0.849094:0.449352:0.843378:0.449352:0.000000 8:@0.868187:0.459810:0.873904:0.459810:0.873904:0.449352:0.868187:0.449352:0.000000 4:@0.660707:0.380499:0.666424:0.380499:0.666424:0.370041:0.660707:0.370041:0.000000 5:@0.660707:0.362628:0.666424:0.362628:0.666424:0.352170:0.660707:0.352170:0.000000 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