40:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.667622:0.133950:0.667622:0.133950:0.650486:0.115209:0.650486:0.000000:0.000000:0.000000
Responde:@0.148452:0.667622:0.225424:0.667622:0.225424:0.650998:0.148452:0.650998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 verdadero (V) o falso (F) a las siguientes proposiciones.:@0.225424:0.667622:0.628582:0.667622:0.628582:0.651233:0.225424:0.651233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.148452:0.691341:0.167175:0.691341:0.167175:0.674440:0.148452:0.674440:0.000000:0.000000:0.000000
El conjunto de los números racionales es subconjunto de los enteros. :@0.181696:0.691341:0.691533:0.691341:0.691533:0.674952:0.181696:0.674952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.690717:0.879369:0.690717:0.879369:0.677308:0.828861:0.677308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.148451:0.711507:0.168481:0.711507:0.168481:0.694606:0.148451:0.694606:0.000000:0.000000:0.000000
El cero es un número racional. :@0.181694:0.711507:0.405571:0.711507:0.405571:0.695118:0.181694:0.695118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.710878:0.879369:0.710878:0.879369:0.697469:0.828861:0.697469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.148451:0.731667:0.166086:0.731667:0.166086:0.714767:0.148451:0.714767:0.000000:0.000000:0.000000
Todo número entero es racional. :@0.181694:0.731667:0.422598:0.731667:0.422598:0.715279:0.181694:0.715279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.731039:0.879369:0.731039:0.879369:0.717630:0.828861:0.717630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.148451:0.751827:0.168518:0.751827:0.168518:0.734926:0.148451:0.734926:0.000000:0.000000:0.000000
Todo número natural es racional. :@0.181694:0.751827:0.425657:0.751827:0.425657:0.735438:0.181694:0.735438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.751198:0.879369:0.751198:0.879369:0.737789:0.828861:0.737789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.148451:0.771988:0.167320:0.771988:0.167320:0.755087:0.148451:0.755087:0.000000:0.000000:0.000000
Todo número racional es positivo. :@0.181694:0.771988:0.432347:0.771988:0.432347:0.755599:0.181694:0.755599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.771359:0.879369:0.771359:0.879369:0.757950:0.828861:0.757950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.148451:0.792147:0.165275:0.792147:0.165275:0.775247:0.148451:0.775247:0.000000:0.000000:0.000000
El conjunto de los números racionales es finito. :@0.181694:0.792147:0.528815:0.792147:0.528815:0.775758:0.181694:0.775758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.791519:0.879369:0.791519:0.879369:0.778110:0.828861:0.778110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g) :@0.148451:0.812308:0.168371:0.812308:0.168371:0.795408:0.148451:0.795408:0.000000:0.000000:0.000000
El conjunto de los números naturales es subconjunto de los racionales. :@0.181694:0.812308:0.703528:0.812308:0.703528:0.795919:0.181694:0.795919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.811680:0.879369:0.811680:0.879369:0.798270:0.828861:0.798270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h) :@0.148451:0.832469:0.168352:0.832469:0.168352:0.815568:0.148451:0.815568:0.000000:0.000000:0.000000
Si un número no es racional, entonces es un número decimal. :@0.181692:0.832469:0.636910:0.832469:0.636910:0.816080:0.181692:0.816080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.831840:0.879369:0.831840:0.879369:0.818431:0.828861:0.818431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.148451:0.852629:0.162529:0.852629:0.162529:0.835728:0.148451:0.835728:0.000000:0.000000:0.000000
El numerador puede valer cero, pero el denominador nunca. :@0.181694:0.852629:0.628527:0.852629:0.628527:0.836240:0.181694:0.836240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.852000:0.879369:0.852000:0.879369:0.838591:0.828861:0.838591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j) :@0.148451:0.872789:0.162787:0.872789:0.162787:0.855889:0.148451:0.855889:0.000000:0.000000:0.000000
El conjunto de los números racionales es subconjunto de los números reales. :@0.181694:0.872789:0.748178:0.872789:0.748178:0.856401:0.181694:0.856401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.872161:0.879369:0.872161:0.879369:0.858752:0.828861:0.858752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k) :@0.148451:0.892950:0.167191:0.892950:0.167191:0.876050:0.148451:0.876050:0.000000:0.000000:0.000000
El numerador indica las partes en que se divide a la unidad. :@0.181694:0.892950:0.618429:0.892950:0.618429:0.876561:0.181694:0.876561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.892322:0.879369:0.892322:0.879369:0.878912:0.828861:0.878912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l) :@0.148451:0.913110:0.162548:0.913110:0.162548:0.896209:0.148451:0.896209:0.000000:0.000000:0.000000
La unión de los números racionales con los irracionales son los números reales. :@0.181694:0.913110:0.762294:0.913110:0.762294:0.896721:0.181694:0.896721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.912481:0.879369:0.912481:0.879369:0.899072:0.828861:0.899072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.626384:0.236739:0.626384:0.236739:0.592436:0.175844:0.592436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.1.3. Establece relaciones de orden en un conjunto de números racionales e irracionales, con el empleo de la recta numérica :@0.256865:0.598568:0.877628:0.598568:0.877628:0.588139:0.256865:0.588139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(representación  geométrica);  aplica  las  propiedades  algebraicas  de  las  operaciones  (adición  y  multiplicación)  y  las  reglas  de  los :@0.256865:0.609130:0.877718:0.609130:0.877718:0.598700:0.256865:0.598700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales en el cálculo de ejercicios numéricos y algebraicos con operaciones combinadas; atiende correctamente la jerarquía de las :@0.256865:0.619691:0.877686:0.619691:0.877686:0.609262:0.256865:0.609262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones. (I.4.):@0.256865:0.630252:0.337286:0.630252:0.337286:0.619823:0.256865:0.619823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.048475:0.122645:0.082036:0.122645:0.082036:0.065614:0.048475:0.065614:0.000000:0.000000
Números racionales:@0.115891:0.141978:0.400899:0.141978:0.400899:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.13 Reconocer el conjunto de los números racionales   e identificar sus elementos.:@0.125388:0.074999:0.537398:0.074999:0.537398:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.398616:0.074454:0.408384:0.074454:0.408384:0.066269:0.398616:0.066269:0.000000
El conjunto de los números racionales :@0.115209:0.169633:0.400485:0.169633:0.400485:0.153244:0.115209:0.153244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.403735:0.170467:0.309294:0.170467:0.309294:0.153719:0.403735:0.153719:0.000000
:@0.512514:0.170467:0.418072:0.170467:0.418072:0.153719:0.512514:0.153719:0.000000
/,:@0.458760:0.169596:0.481758:0.169596:0.481758:0.153207:0.458760:0.153207:0.000000:0.000000
,:@0.525144:0.169596:0.528350:0.169596:0.528350:0.153207:0.525144:0.153207:0.000000
0:@0.554932:0.169596:0.563925:0.169596:0.563925:0.153207:0.554932:0.153207:0.000000
=⎨:@0.420652:0.170191:0.442470:0.170467:0.442470:0.152446:0.420652:0.152170:0.000000:0.000000
∈:@0.495984:0.170191:0.462888:0.170191:0.462888:0.152170:0.495984:0.152170:0.000000
≠:@0.542219:0.170191:0.509123:0.170191:0.509123:0.152170:0.542219:0.152170:0.000000
⎧:@0.433367:0.160606:0.442470:0.160606:0.442470:0.142585:0.433367:0.142585:0.000000
⎩:@0.433367:0.180688:0.442470:0.180688:0.442470:0.162667:0.433367:0.162667:0.000000
⎫:@0.564461:0.160606:0.573564:0.160606:0.573564:0.142585:0.564461:0.142585:0.000000
⎬:@0.564461:0.170467:0.573564:0.170467:0.573564:0.152446:0.564461:0.152446:0.000000
⎭:@0.564461:0.180688:0.573564:0.180688:0.573564:0.162667:0.564461:0.162667:0.000000
a:@0.444368:0.161118:0.453637:0.161118:0.453637:0.145725:0.444368:0.145725:0.000000
b:@0.444166:0.180494:0.453435:0.180494:0.453435:0.165101:0.444166:0.165101:0.000000
a b:@0.468656:0.169610:0.492584:0.169610:0.492584:0.154217:0.468656:0.154217:0.000000:0.000000:0.000000
b:@0.529907:0.169610:0.539177:0.169610:0.539177:0.154217:0.529907:0.154217:0.000000
 contiene a los números que pueden ser expresados en forma  :@0.420816:0.169633:0.883939:0.169633:0.883939:0.153244:0.420816:0.153244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cociente entre dos números enteros, siempre y cuando el divisor sea diferente de cero, es decir::@0.115212:0.186229:0.835653:0.186229:0.835653:0.169840:0.115212:0.169840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.398127:0.215988:0.303685:0.215988:0.303685:0.199239:0.398127:0.199239:0.000000
 :@0.506905:0.215988:0.335446:0.215988:0.335446:0.199239:0.506905:0.199239:0.000000:0.000000:0.000000
/, /,:@0.453152:0.215117:0.507910:0.215117:0.507910:0.198728:0.453152:0.198728:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.519535:0.215117:0.522742:0.215117:0.522742:0.198728:0.519535:0.198728:0.000000
0:@0.549323:0.215117:0.558316:0.215117:0.558316:0.198728:0.549323:0.198728:0.000000
=⎨ =⎨:@0.415036:0.215711:0.468622:0.215988:0.468622:0.197967:0.415036:0.197690:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.490370:0.215711:0.457274:0.215711:0.457274:0.197690:0.490370:0.197690:0.000000
≠:@0.536605:0.215711:0.503509:0.215711:0.503509:0.197690:0.536605:0.197690:0.000000
⎧:@0.427753:0.206127:0.436856:0.206127:0.436856:0.188106:0.427753:0.188106:0.000000
⎩:@0.427758:0.226202:0.436861:0.226202:0.436861:0.208181:0.427758:0.208181:0.000000
⎫:@0.558852:0.206121:0.567956:0.206121:0.567956:0.188100:0.558852:0.188100:0.000000
⎬≠:@0.558852:0.215982:0.535275:0.215711:0.535275:0.197690:0.558852:0.197961:0.000000:0.000000
⎭:@0.558852:0.226202:0.567956:0.226202:0.567956:0.208181:0.558852:0.208181:0.000000
a:@0.438753:0.206629:0.448022:0.206629:0.448022:0.191235:0.438753:0.191235:0.000000
b:@0.438542:0.226000:0.447811:0.226000:0.447811:0.210607:0.438542:0.210607:0.000000
a b a b:@0.463032:0.215115:0.518736:0.215130:0.518736:0.199737:0.463032:0.199722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.524284:0.215115:0.533553:0.215115:0.533553:0.199722:0.524284:0.199722:0.000000
 :@0.521970:0.215718:0.526006:0.215718:0.526006:0.199329:0.521970:0.199329:0.000000
con:@0.526006:0.215718:0.552229:0.215718:0.552229:0.199356:0.526006:0.199356:0.000000:0.000000:0.000000
 :@0.552229:0.215718:0.556264:0.215718:0.556264:0.199329:0.552229:0.199329:0.000000
:@0.538666:0.215988:0.444224:0.215988:0.444224:0.199239:0.538666:0.199239:0.000000
,:@0.551296:0.215117:0.554502:0.215117:0.554502:0.198728:0.551296:0.198728:0.000000
0:@0.581084:0.215117:0.590077:0.215117:0.590077:0.198728:0.581084:0.198728:0.000000
∈:@0.522136:0.215711:0.489040:0.215711:0.489040:0.197690:0.522136:0.197690:0.000000
⎧:@0.459519:0.206127:0.468622:0.206127:0.468622:0.188106:0.459519:0.188106:0.000000
⎩:@0.459519:0.226209:0.468622:0.226209:0.468622:0.208188:0.459519:0.208188:0.000000
⎫:@0.590613:0.206127:0.599717:0.206127:0.599717:0.188106:0.590613:0.188106:0.000000
⎬:@0.590613:0.215988:0.599717:0.215988:0.599717:0.197967:0.590613:0.197967:0.000000
⎭:@0.590613:0.226209:0.599717:0.226209:0.599717:0.208188:0.590613:0.208188:0.000000
a:@0.470520:0.206639:0.479789:0.206639:0.479789:0.191246:0.470520:0.191246:0.000000
b:@0.470318:0.226015:0.479587:0.226015:0.479587:0.210622:0.470318:0.210622:0.000000
b:@0.556060:0.215130:0.565329:0.215130:0.565329:0.199737:0.556060:0.199737:0.000000
En un número racional de la forma ±:@0.115209:0.244428:0.384636:0.244428:0.384636:0.228039:0.115209:0.228039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.389131:0.238001:0.398400:0.238001:0.398400:0.221640:0.389131:0.221640:0.000000
b:@0.388928:0.257377:0.398197:0.257377:0.398197:0.241016:0.388928:0.241016:0.000000
,   es el :@0.403109:0.244428:0.460769:0.244428:0.460769:0.228039:0.403109:0.228039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.410480:0.244428:0.419749:0.244428:0.419749:0.228067:0.410480:0.228067:0.000000
numerador:@0.460898:0.244428:0.550473:0.244428:0.550473:0.227527:0.460898:0.227527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y   el :@0.550473:0.244428:0.597224:0.244428:0.597224:0.228039:0.550473:0.228039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.566910:0.244428:0.576179:0.244428:0.576179:0.228067:0.566910:0.228067:0.000000
denominador:@0.597353:0.244428:0.706407:0.244428:0.706407:0.227527:0.597353:0.227527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. El denominador indica :@0.706407:0.244428:0.883866:0.244428:0.883866:0.228039:0.706407:0.228039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las partes en que se debe dividir a la unidad, mientras que el numerador indica cuántas partes se debe :@0.115195:0.270830:0.884015:0.270830:0.884015:0.254441:0.115195:0.254441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contar para ubicar la fracción en la recta numérica. Si la fracción es positiva se la ubica hacia la derecha del :@0.115195:0.287427:0.883886:0.287427:0.883886:0.271038:0.115195:0.271038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 y si es negativa, hacia la izquierda de 0 en la recta numérica. La unión de los números racionales con los :@0.115195:0.304023:0.883959:0.304023:0.883959:0.287634:0.115195:0.287634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracionales forma el conjunto de los números :@0.115195:0.320619:0.454756:0.320619:0.454756:0.304230:0.115195:0.304230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales:@0.454756:0.320619:0.501949:0.320619:0.501949:0.303719:0.454756:0.303719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, que se representan en la recta numérica.:@0.501949:0.320619:0.806703:0.320619:0.806703:0.304230:0.501949:0.304230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.349732:0.272331:0.349732:0.272331:0.331295:0.115209:0.331295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.115209:0.369579:0.133931:0.369579:0.133931:0.352678:0.115209:0.352678:0.000000:0.000000:0.000000
Analizamos:@0.148452:0.369579:0.236997:0.369579:0.236997:0.352955:0.148452:0.352955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. De los números: 5, –10, 0, 0, 5,  ,  2, ¿cuáles son racionales?:@0.236997:0.369579:0.683388:0.369579:0.683388:0.353190:0.236997:0.353190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.464556:0.369963:0.474673:0.369963:0.479956:0.351942:0.469839:0.351942:0.000000
Los cuatro primeros números son racionales, ya que se pueden expresar así::@0.148452:0.389743:0.701775:0.389743:0.701775:0.373354:0.148452:0.373354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.147836:0.417455:0.156828:0.417455:0.156828:0.401066:0.147836:0.401066:0.000000
5:@0.173174:0.408964:0.182166:0.408964:0.182166:0.392575:0.173174:0.392575:0.000000
1:@0.173745:0.428340:0.182738:0.428340:0.182738:0.411951:0.173745:0.411951:0.000000
, –10:@0.184743:0.417455:0.222106:0.417499:0.222106:0.401110:0.184743:0.401066:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.158981:0.418133:0.169098:0.418133:0.169098:0.402560:0.158981:0.402560:0.000000
–10:@0.239607:0.409013:0.266604:0.409013:0.266604:0.392624:0.239607:0.392624:0.000000:0.000000:0.000000
1:@0.249392:0.428389:0.258385:0.428389:0.258385:0.412000:0.249392:0.412000:0.000000
, 0:@0.269971:0.417499:0.289172:0.417443:0.289172:0.401054:0.269971:0.401110:0.000000:0.000000:0.000000
=:@0.225044:0.418177:0.235161:0.418177:0.235161:0.402604:0.225044:0.402604:0.000000
0:@0.306303:0.408956:0.315296:0.408956:0.315296:0.392567:0.306303:0.392567:0.000000
1:@0.307243:0.428332:0.316236:0.428332:0.316236:0.411943:0.307243:0.411943:0.000000
, 0,5:@0.318658:0.417443:0.352054:0.417545:0.352054:0.401156:0.318658:0.401054:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.292122:0.418120:0.302239:0.418120:0.302239:0.402548:0.292122:0.402548:0.000000
1:@0.369177:0.409058:0.378169:0.409058:0.378169:0.392669:0.369177:0.392669:0.000000
2:@0.368384:0.428434:0.377377:0.428434:0.377377:0.412045:0.368384:0.412045:0.000000
, es decir, como cociente de dos números enteros.:@0.380379:0.417545:0.749032:0.417545:0.749032:0.401156:0.380379:0.401156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.354212:0.418222:0.364329:0.418222:0.364329:0.402649:0.354212:0.402649:0.000000
 :@0.386452:0.417545:0.390266:0.417545:0.390266:0.400644:0.386452:0.400644:0.000000
Mientras que :@0.148440:0.447515:0.243859:0.447515:0.243859:0.431126:0.148440:0.431126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,141592...  21,414213...  no se pueden expresar como cociente de números enteros.:@0.271142:0.447622:0.879886:0.447511:0.879886:0.431122:0.271142:0.431233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.241817:0.448299:0.251934:0.448299:0.256499:0.432727:0.246382:0.432727:0.000000
=:@0.258420:0.448299:0.268537:0.448299:0.268537:0.432727:0.258420:0.432727:0.000000
=:@0.376317:0.448447:0.386433:0.448447:0.386433:0.432874:0.376317:0.432874:0.000000
b) :@0.115209:0.477481:0.134502:0.477481:0.134502:0.460581:0.115209:0.460581:0.000000:0.000000:0.000000
Representamos:@0.148452:0.477481:0.263256:0.477481:0.263256:0.460857:0.148452:0.460857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en la recta numérica los números:   y –:@0.262888:0.477481:0.548617:0.477479:0.548617:0.461090:0.262888:0.461093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.510081:0.468992:0.519074:0.468992:0.519074:0.452603:0.510081:0.452603:0.000000
4:@0.509878:0.488368:0.518871:0.488368:0.518871:0.471979:0.509878:0.471979:0.000000
7:@0.551339:0.468992:0.560332:0.468992:0.560332:0.452603:0.551339:0.452603:0.000000
5:@0.551910:0.488368:0.560903:0.488368:0.560903:0.471979:0.551910:0.471979:0.000000
–4:@0.229678:0.567485:0.247884:0.567485:0.247884:0.551096:0.229678:0.551096:0.000000:0.000000
–3:@0.299150:0.567485:0.317357:0.567485:0.317357:0.551096:0.299150:0.551096:0.000000:0.000000
–2:@0.368622:0.567485:0.386829:0.567485:0.386829:0.551096:0.368622:0.551096:0.000000:0.000000
–1:@0.438094:0.567485:0.456301:0.567485:0.456301:0.551096:0.438094:0.551096:0.000000:0.000000
0:@0.512174:0.567485:0.521166:0.567485:0.521166:0.551096:0.512174:0.551096:0.000000
1:@0.581646:0.567485:0.590638:0.567485:0.590638:0.551096:0.581646:0.551096:0.000000
3:@0.720590:0.567485:0.729583:0.567485:0.729583:0.551096:0.720590:0.551096:0.000000
2:@0.651118:0.567485:0.660111:0.567485:0.660111:0.551096:0.651118:0.551096:0.000000
4:@0.790062:0.567485:0.799055:0.567485:0.799055:0.551096:0.790062:0.551096:0.000000
3:@0.564712:0.508029:0.573705:0.508029:0.573705:0.491640:0.564712:0.491640:0.000000
4:@0.564510:0.527405:0.573502:0.527405:0.573502:0.511016:0.564510:0.511016:0.000000
–:@0.407270:0.516516:0.416484:0.516516:0.416484:0.500127:0.407270:0.500127:0.000000
7:@0.419206:0.508029:0.428199:0.508029:0.428199:0.491640:0.419206:0.491640:0.000000
5:@0.419777:0.527405:0.428770:0.527405:0.428770:0.511016:0.419777:0.511016:0.000000
F:@0.850252:0.691116:0.858766:0.691116:0.858766:0.674727:0.850252:0.674727:0.000000
V:@0.849828:0.711239:0.859208:0.711239:0.859208:0.694850:0.849828:0.694850:0.000000
V:@0.849828:0.731362:0.859208:0.731362:0.859208:0.714973:0.849828:0.714973:0.000000
V:@0.849828:0.751485:0.859208:0.751485:0.859208:0.735096:0.849828:0.735096:0.000000
F:@0.850252:0.771608:0.858766:0.771608:0.858766:0.755219:0.850252:0.755219:0.000000
F:@0.850252:0.791731:0.858766:0.791731:0.858766:0.775342:0.850252:0.775342:0.000000
V:@0.849828:0.811854:0.859208:0.811854:0.859208:0.795465:0.849828:0.795465:0.000000
F:@0.850252:0.831977:0.858766:0.831977:0.858766:0.815589:0.850252:0.815589:0.000000
V:@0.849828:0.852101:0.859208:0.852101:0.859208:0.835712:0.849828:0.835712:0.000000
V:@0.849828:0.872224:0.859208:0.872224:0.859208:0.855835:0.849828:0.855835:0.000000
F:@0.850252:0.892347:0.858766:0.892347:0.858766:0.875958:0.850252:0.875958:0.000000
V:@0.849828:0.912470:0.859208:0.912470:0.859208:0.896081:0.849828:0.896081:0.000000