﻿223:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
223:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
4.:@0.096359:0.450004:0.111378:0.450004:0.111378:0.432869:0.096359:0.432869:0.000000:0.000000
 :@0.111378:0.450004:0.115413:0.450004:0.115413:0.434335:0.111378:0.434335:0.000000
Resuelve:@0.124848:0.450004:0.195940:0.450004:0.195940:0.433104:0.124848:0.433104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el siguiente problema.:@0.195940:0.450004:0.363501:0.450004:0.363501:0.434335:0.195940:0.434335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.470169:0.100082:0.470169:0.100082:0.453033:0.096359:0.453033:0.000000
Una pista de baile tiene forma circular. Un arqui-:@0.129602:0.470169:0.485735:0.470169:0.485735:0.454499:0.129602:0.454499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tecto calculó que para hacer la pista 16 veces :@0.129602:0.486765:0.489789:0.486765:0.489789:0.471096:0.129602:0.471096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más grande, debería aumentarse su radio en 12 :@0.129602:0.503362:0.489789:0.503362:0.489789:0.487692:0.129602:0.487692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
metros, pero olvidó anotar el radio actual de la :@0.129602:0.519958:0.489844:0.519958:0.489844:0.504288:0.129602:0.504288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pista. ¿Cuál es el radio actual de la pista de baile?:@0.129602:0.536554:0.481515:0.536554:0.481515:0.520885:0.129602:0.520885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.:@0.096359:0.568917:0.111377:0.568917:0.111377:0.551782:0.096359:0.551782:0.000000:0.000000
 :@0.111378:0.568917:0.115413:0.568917:0.115413:0.553248:0.111378:0.553248:0.000000
Problema-decisión.:@0.129602:0.568917:0.278037:0.568917:0.278037:0.551906:0.129602:0.551906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.278037:0.568917:0.281759:0.568917:0.281759:0.551782:0.278037:0.551782:0.000000
Un grupo de estudiantes ha :@0.281630:0.568917:0.489787:0.568917:0.489787:0.553248:0.281630:0.553248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decidido realizar una excursión. Los gastos con-:@0.129602:0.585514:0.485735:0.585514:0.485735:0.569844:0.129602:0.569844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tratados ascienden a 90 dólares, pero si tres es-:@0.129602:0.602110:0.485788:0.602110:0.485788:0.586440:0.129602:0.586440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tudiantes no asisten, cada uno de los asistentes :@0.129602:0.618707:0.489804:0.618707:0.489804:0.603037:0.129602:0.603037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deberá pagar un dólar más.:@0.129602:0.635303:0.330515:0.635303:0.330515:0.619633:0.129602:0.619633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuántos estudiantes tiene el grupo?:@0.124848:0.659022:0.395714:0.659022:0.395714:0.643352:0.124848:0.643352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.682741:0.100395:0.682741:0.100395:0.667071:0.096359:0.667071:0.000000
Si fueras uno de los estudiantes y debes elegir :@0.129602:0.682741:0.489824:0.682741:0.489824:0.667071:0.129602:0.667071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre ir a la excursión o participar de una visita :@0.129602:0.699337:0.489771:0.699337:0.489771:0.683667:0.129602:0.683667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
familiar prevista por tus padres, ¿qué decisión to-:@0.129602:0.715934:0.485753:0.715934:0.485753:0.700264:0.129602:0.700264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
marías? :@0.129602:0.732530:0.188774:0.732530:0.188774:0.716860:0.129602:0.716860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Justifica.:@0.188774:0.732530:0.257638:0.732530:0.257638:0.715629:0.188774:0.715629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124848:0.068329:0.144087:0.068329:0.144087:0.051194:0.124848:0.051194:0.000000:0.000000:0.000000
¿Qué posibles dimensiones puede tener la :@0.153337:0.068329:0.489789:0.068329:0.489789:0.052660:0.153337:0.052660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cartelera? Para averiguarlo, :@0.153337:0.084926:0.352851:0.084926:0.352851:0.069256:0.153337:0.069256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
completa:@0.353202:0.084926:0.428184:0.084926:0.428184:0.068025:0.353202:0.068025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla :@0.428184:0.084926:0.489769:0.084926:0.489769:0.069256:0.428184:0.069256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en tu cuaderno.:@0.153337:0.101522:0.269153:0.101522:0.269153:0.085852:0.153337:0.085852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ancho :@0.176203:0.125339:0.224551:0.125339:0.224551:0.110228:0.176203:0.110228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.186664:0.139974:0.210739:0.139974:0.210739:0.124863:0.186664:0.124863:0.000000:0.000000:0.000000
m:@0.191846:0.139974:0.205558:0.139974:0.205558:0.124888:0.191846:0.124888:0.000000
largo:@0.258840:0.125339:0.297403:0.125339:0.297403:0.110228:0.258840:0.110228:0.000000:0.000000:0.000000:0.000000:0.000000
(m):@0.265853:0.139974:0.290407:0.139974:0.290407:0.124863:0.265853:0.124863:0.000000:0.000000:0.000000
perímetro :@0.323937:0.125339:0.401311:0.125339:0.401311:0.110228:0.323937:0.110228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.345306:0.139974:0.350487:0.139974:0.350487:0.124863:0.345306:0.124863:0.000000
cm:@0.350487:0.139974:0.371427:0.139974:0.371427:0.124888:0.350487:0.124888:0.000000:0.000000
):@0.371427:0.139974:0.376608:0.139974:0.376608:0.124863:0.371427:0.124863:0.000000
área  :@0.431475:0.125339:0.470417:0.125339:0.470417:0.110228:0.431475:0.110228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.427531:0.139974:0.432712:0.139974:0.432712:0.124863:0.427531:0.124863:0.000000
cm :@0.432712:0.139974:0.456688:0.139974:0.456688:0.124888:0.432712:0.124888:0.000000:0.000000:0.000000
2):@0.456688:0.139974:0.467678:0.139974:0.467678:0.124863:0.456688:0.124863:0.000000:0.000000
10:@0.190409:0.159254:0.207012:0.159254:0.207012:0.145008:0.190409:0.145008:0.000000:0.000000
80:@0.269835:0.159254:0.286438:0.159254:0.286438:0.145008:0.269835:0.145008:0.000000:0.000000
180:@0.348495:0.159254:0.373400:0.159254:0.373400:0.145008:0.348495:0.145008:0.000000:0.000000:0.000000
800:@0.435151:0.159254:0.460056:0.159254:0.460056:0.145008:0.435151:0.145008:0.000000:0.000000:0.000000
b) :@0.124851:0.210755:0.145232:0.210755:0.145232:0.193619:0.124851:0.193619:0.000000:0.000000:0.000000
Grafica:@0.153341:0.210755:0.209361:0.210755:0.209361:0.193854:0.153341:0.193854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en tu cuaderno los pares ordenados :@0.209361:0.210755:0.489774:0.210755:0.489774:0.195085:0.209361:0.195085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinados en la tabla anterior (ancho y :@0.153341:0.227351:0.489789:0.227351:0.489789:0.211682:0.153341:0.211682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
área).:@0.153341:0.243948:0.192333:0.243948:0.192333:0.228278:0.153341:0.228278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.124851:0.267667:0.142671:0.267667:0.142671:0.250531:0.124851:0.250531:0.000000:0.000000:0.000000
Al unir los puntos anteriores, ¿qué forma tiene :@0.153341:0.267667:0.489735:0.267667:0.489735:0.251997:0.153341:0.251997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la gráfica?:@0.153341:0.284263:0.225853:0.284263:0.225853:0.268593:0.153341:0.268593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.124851:0.308992:0.145343:0.308992:0.145343:0.291856:0.124851:0.291856:0.000000:0.000000:0.000000
¿Cuál es la solución del problema?:@0.153341:0.308992:0.404745:0.308992:0.404745:0.293322:0.153341:0.293322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.124851:0.332711:0.144090:0.332711:0.144090:0.315575:0.124851:0.315575:0.000000:0.000000:0.000000
Grafica:@0.153341:0.332711:0.209361:0.332711:0.209361:0.315810:0.153341:0.315810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los pares ordenados formados por el :@0.209361:0.332711:0.489813:0.332711:0.489813:0.317041:0.209361:0.317041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ancho y el largo que se encuentra en la tabla.:@0.153341:0.349307:0.484575:0.349307:0.484575:0.333637:0.153341:0.333637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.124851:0.373026:0.141971:0.373026:0.141971:0.355890:0.124851:0.355890:0.000000:0.000000:0.000000
¿Qué gráfica obtienes?:@0.153341:0.373026:0.319871:0.373026:0.319871:0.357356:0.153341:0.357356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g) :@0.124851:0.396745:0.145140:0.396745:0.145140:0.379609:0.124851:0.379609:0.000000:0.000000:0.000000
¿Cuál es la ecuación que modela la gráfica del :@0.153341:0.396745:0.489737:0.396745:0.489737:0.381075:0.153341:0.381075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ancho y el área?:@0.153341:0.413341:0.270465:0.413341:0.270465:0.397672:0.153341:0.397672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.110196:0.762025:0.274145:0.762025:0.274145:0.745124:0.110196:0.745124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dimensiones  del terreno, de tal manera :@0.582331:0.082777:0.899570:0.082777:0.899570:0.067107:0.582331:0.067107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que el área por cercar sea máxima? :@0.582331:0.099373:0.842730:0.099373:0.842730:0.083704:0.582331:0.083704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.553842:0.133783:0.573854:0.133783:0.573854:0.116647:0.553842:0.116647:0.000000:0.000000:0.000000
Este problema ha sido tomado del libro de :@0.582331:0.133783:0.899563:0.133783:0.899563:0.118113:0.582331:0.118113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática chino conocido como Chui-:@0.582331:0.150379:0.895509:0.150379:0.895509:0.134710:0.582331:0.134710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
chang suan-shu. “Un vástago de bambú de :@0.582331:0.166976:0.899544:0.166976:0.899544:0.151306:0.582331:0.151306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10 pies de largo se rompe de forma tal que :@0.582331:0.183572:0.899487:0.183572:0.899487:0.167902:0.582331:0.167902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su punta toca la tierra a 3 pies de la base”. :@0.582331:0.200169:0.899563:0.200169:0.899563:0.184499:0.582331:0.184499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.895509:0.200169:0.899544:0.200169:0.899544:0.184499:0.895509:0.184499:0.000000
¿A qué altura se rompió el bambú?:@0.582331:0.216765:0.831933:0.216765:0.831933:0.201095:0.582331:0.201095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.553842:0.251175:0.571661:0.251175:0.571661:0.234039:0.553842:0.234039:0.000000:0.000000:0.000000
Una ventana tiene la forma de un rectángulo :@0.582331:0.251175:0.899579:0.251175:0.899579:0.235505:0.582331:0.235505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coronado por un semicírculo. Si el perímetro :@0.582331:0.267771:0.899548:0.267771:0.899548:0.252101:0.582331:0.252101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ventana es de 9  , ¿cuál es el modelo :@0.582331:0.284368:0.899542:0.284368:0.899542:0.268698:0.582331:0.268698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.740339:0.284368:0.754970:0.284368:0.754970:0.268006:0.740339:0.268006:0.000000
matemático que expresa el área en función :@0.582331:0.300964:0.899509:0.300964:0.899509:0.285294:0.582331:0.285294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del ancho de la ventana? :@0.582331:0.317560:0.760616:0.317560:0.760616:0.301891:0.582331:0.301891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7. :@0.525353:0.351970:0.544094:0.351970:0.544094:0.334834:0.525353:0.334834:0.000000:0.000000:0.000000
Resuelvan:@0.553842:0.351970:0.635456:0.351970:0.635456:0.335069:0.553842:0.335069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la siguiente situación.:@0.635456:0.351970:0.797083:0.351970:0.797083:0.336300:0.635456:0.336300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La altura  en kilómetros de un cohete es un :@0.553842:0.375689:0.899504:0.375689:0.899504:0.360019:0.553842:0.360019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modelo particular descrita por la función cua-:@0.553842:0.392285:0.895507:0.392285:0.895507:0.376616:0.553842:0.376616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
drática :@0.553842:0.410113:0.607835:0.410113:0.607835:0.394443:0.553842:0.394443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ht:@0.619671:0.410922:0.639154:0.410922:0.643610:0.395722:0.624126:0.395722:0.000000:0.000000
t:@0.730169:0.410922:0.735693:0.410922:0.740148:0.395722:0.734625:0.395722:0.000000
t:@0.780451:0.410922:0.785975:0.410922:0.790430:0.395722:0.784907:0.395722:0.000000
() 0,59,89:@0.630608:0.410922:0.732494:0.410922:0.732494:0.395722:0.630608:0.395722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4,9:@0.760022:0.410922:0.782758:0.410922:0.782758:0.395722:0.760022:0.395722:0.000000:0.000000:0.000000
2,5:@0.802528:0.410922:0.824550:0.410922:0.824550:0.395722:0.802528:0.395722:0.000000:0.000000:0.000000
2:@0.739582:0.403490:0.744638:0.403490:0.744638:0.394681:0.739582:0.394681:0.000000
(:@0.685705:0.416155:0.691657:0.416155:0.691657:0.392288:0.685705:0.392288:0.000000
):@0.824342:0.416155:0.830294:0.416155:0.830294:0.392288:0.824342:0.392288:0.000000
=:@0.650513:0.411579:0.660326:0.411579:0.660326:0.396473:0.650513:0.396473:0.000000
−:@0.691947:0.411579:0.701760:0.411579:0.701760:0.396473:0.691947:0.396473:0.000000
+:@0.747809:0.411579:0.757623:0.411579:0.757623:0.396473:0.747809:0.396473:0.000000
+:@0.791031:0.411579:0.800844:0.411579:0.800844:0.396473:0.791031:0.396473:0.000000
, donde :@0.829338:0.410139:0.899529:0.410139:0.899529:0.394469:0.829338:0.394469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.895494:0.410139:0.899529:0.410139:0.899529:0.394469:0.895494:0.394469:0.000000
t :@0.553827:0.426735:0.562525:0.426735:0.562525:0.410374:0.553827:0.410374:0.000000:0.000000
representa el número de segundos después :@0.563962:0.426735:0.899527:0.426735:0.899527:0.411066:0.563962:0.411066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del despegue. ¿Qué respuestas darías para las :@0.553827:0.443332:0.899564:0.443332:0.899564:0.427662:0.553827:0.427662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguientes preguntas?: :@0.553827:0.459928:0.721682:0.459928:0.721682:0.444259:0.553827:0.444259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.553827:0.483647:0.573065:0.483647:0.573065:0.466511:0.553827:0.466511:0.000000:0.000000:0.000000
¿Qué representan los coeficientes –9,8; 4,9 :@0.582316:0.483647:0.899546:0.483647:0.899546:0.467977:0.582316:0.467977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.895494:0.483647:0.899529:0.483647:0.899529:0.467977:0.895494:0.467977:0.000000
y 2,5? :@0.582316:0.500244:0.626708:0.500244:0.626708:0.484574:0.582316:0.484574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.553827:0.523963:0.574208:0.523963:0.574208:0.506827:0.553827:0.506827:0.000000:0.000000:0.000000
¿Cuáles son las unidades usadas para :@0.582316:0.523963:0.899511:0.523963:0.899511:0.508293:0.582316:0.508293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
describir la altura del cohete?:@0.582316:0.540559:0.796460:0.540559:0.796460:0.524889:0.582316:0.524889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.553827:0.564278:0.571646:0.564278:0.571646:0.547142:0.553827:0.547142:0.000000:0.000000:0.000000
¿Cuál es el vértice de la función?:@0.582316:0.564278:0.818888:0.564278:0.818888:0.548608:0.582316:0.548608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.553827:0.587997:0.574318:0.587997:0.574318:0.570861:0.553827:0.570861:0.000000:0.000000:0.000000
¿Qué  puedes  decir de la forma de la :@0.582316:0.587997:0.899548:0.587997:0.899548:0.572327:0.582316:0.572327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola?:@0.582316:0.604593:0.653926:0.604593:0.653926:0.588924:0.582316:0.588924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajen :@0.107362:0.783226:0.180851:0.783226:0.180851:0.766325:0.107362:0.766325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en equipo y:@0.180851:0.783226:0.268383:0.783226:0.268383:0.767556:0.180851:0.767556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 resuelvan:@0.268383:0.783226:0.349665:0.783226:0.349665:0.766325:0.268383:0.766325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.349665:0.783226:0.352871:0.783226:0.352871:0.767556:0.349665:0.767556:0.000000
6.:@0.107362:0.803390:0.122380:0.803390:0.122380:0.786254:0.107362:0.786254:0.000000:0.000000
 :@0.122380:0.803390:0.126416:0.803390:0.126416:0.787720:0.122380:0.787720:0.000000
Resuelvan:@0.135851:0.803390:0.217465:0.803390:0.217465:0.786490:0.135851:0.786490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes problemas: :@0.217465:0.803390:0.410548:0.803390:0.410548:0.787720:0.217465:0.787720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.135851:0.827109:0.155090:0.827109:0.155090:0.809973:0.135851:0.809973:0.000000:0.000000:0.000000
El  grupo  de  estudiantes  de  décimo  de :@0.164340:0.827109:0.481539:0.827109:0.481539:0.811439:0.164340:0.811439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
básica, para poder ahorrar alambre, decide :@0.164340:0.843706:0.481554:0.843706:0.481554:0.828036:0.164340:0.828036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizar una de las paredes del edificio como :@0.164340:0.860302:0.481535:0.860302:0.481535:0.844632:0.164340:0.844632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lado del terreno. De esta forma, solamente :@0.164340:0.876898:0.481548:0.876898:0.481548:0.861229:0.164340:0.861229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesitan cerrar con 100   de alambre tres :@0.164340:0.893495:0.481552:0.893495:0.481552:0.877825:0.164340:0.877825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.346479:0.893495:0.361110:0.893495:0.361110:0.877133:0.346479:0.877133:0.000000
lados del terreno. ¿Cuáles serán las nuevas :@0.164340:0.910091:0.481589:0.910091:0.481589:0.894421:0.164340:0.894421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad indagatoria:@0.528338:0.660645:0.700745:0.660645:0.700745:0.643744:0.528338:0.643744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8. :@0.524708:0.681875:0.543449:0.681875:0.543449:0.664739:0.524708:0.664739:0.000000:0.000000:0.000000
Indaga  resuelve:@0.553197:0.681875:0.691607:0.681875:0.691607:0.664974:0.553197:0.664974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.612515:0.681875:0.624659:0.681875:0.624659:0.666205:0.612515:0.666205:0.000000:0.000000
 en tu cuaderno.:@0.691607:0.681875:0.811458:0.681875:0.811458:0.666205:0.691607:0.666205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.553197:0.705594:0.572435:0.705594:0.572435:0.688458:0.553197:0.688458:0.000000:0.000000:0.000000
Plantea:@0.581686:0.705594:0.641705:0.705594:0.641705:0.688693:0.581686:0.688693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un problema en el cual, para su :@0.641705:0.705594:0.898881:0.705594:0.898881:0.689924:0.641705:0.689924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolución, debas tomar medidas y luego :@0.581686:0.722190:0.898927:0.722190:0.898927:0.706520:0.581686:0.706520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicar las ecuaciones de segundo grado.:@0.581686:0.738786:0.882642:0.738786:0.882642:0.723117:0.581686:0.723117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.630003:0.738786:0.633818:0.738786:0.633818:0.721886:0.630003:0.721886:0.000000
b) :@0.553197:0.762505:0.573578:0.762505:0.573578:0.745370:0.553197:0.745370:0.000000:0.000000:0.000000
Indaga:@0.581686:0.762505:0.637190:0.762505:0.637190:0.745605:0.581686:0.745605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre las ecuaciones del tiro verti-:@0.637190:0.762505:0.894845:0.762505:0.894845:0.746836:0.637190:0.746836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cal hacia arriba. :@0.581686:0.779102:0.696728:0.779102:0.696728:0.763432:0.581686:0.763432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla:@0.696064:0.779102:0.736642:0.779102:0.736642:0.762201:0.696064:0.762201:0.000000:0.000000:0.000000:0.000000:0.000000
 el tiempo que demo-:@0.736642:0.779102:0.894864:0.779102:0.894864:0.763432:0.736642:0.763432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ra un objeto alcanzar su altura máxima si es :@0.581686:0.795698:0.898896:0.795698:0.898896:0.780028:0.581686:0.780028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lanzado con una velocidad de 20 m/s. :@0.581686:0.812294:0.858379:0.812294:0.858379:0.796625:0.581686:0.796625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con-:@0.857550:0.812294:0.894864:0.812294:0.894864:0.795394:0.857550:0.795394:0.000000:0.000000:0.000000:0.000000
sidera:@0.581686:0.828891:0.630058:0.828891:0.630058:0.811990:0.581686:0.811990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor de la gravedad g = 10 m/s . :@0.630058:0.828891:0.898901:0.828896:0.898901:0.813226:0.630058:0.813221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.886417:0.822848:0.891660:0.822848:0.891660:0.813713:0.886417:0.813713:0.000000
Utiliza:@0.581688:0.845492:0.632253:0.845492:0.632253:0.828592:0.581688:0.828592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 solo la ecuación de la altura en fun-:@0.632253:0.845492:0.894810:0.845492:0.894810:0.829822:0.632253:0.829822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción del tiempo.:@0.581688:0.862089:0.700802:0.862089:0.700802:0.846419:0.581688:0.846419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Son los coeficientes de la función cuadrática.:@0.583802:0.508801:0.792711:0.508801:0.792711:0.498829:0.583802:0.498829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta en kilómetros.:@0.583802:0.547517:0.699823:0.547517:0.699823:0.537545:0.583802:0.537545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una parábola que se abre hacia abajo.:@0.583802:0.609961:0.772011:0.609961:0.772011:0.599989:0.583802:0.599989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V (0; 3,7):@0.583802:0.572028:0.622371:0.572028:0.622371:0.562056:0.583802:0.562056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta abierta.:@0.153585:0.357334:0.238589:0.357334:0.238589:0.347362:0.153585:0.347362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta abierta.:@0.153960:0.253085:0.238965:0.253085:0.238965:0.243113:0.153960:0.243113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta abierta.:@0.583239:0.109679:0.668243:0.109679:0.668243:0.099708:0.583239:0.099708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta abierta.:@0.583802:0.874707:0.668806:0.874707:0.668806:0.864735:0.583802:0.864735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4,55 pies.:@0.583239:0.230475:0.625911:0.230475:0.625911:0.220503:0.583239:0.220503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta abierta.:@0.272916:0.099717:0.357920:0.099717:0.357920:0.089745:0.272916:0.089745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x   – 90x + 800 = 0.:@0.153972:0.423597:0.241552:0.423592:0.241552:0.413621:0.153972:0.413626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.158989:0.419744:0.162326:0.419744:0.162326:0.413931:0.158989:0.413931:0.000000
Parábola. :@0.153965:0.382773:0.198738:0.382773:0.198738:0.372801:0.153965:0.372801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
18 piezas.:@0.153965:0.317495:0.198924:0.317495:0.198924:0.307523:0.153965:0.307523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Parábola.:@0.153965:0.294040:0.196170:0.294040:0.196170:0.284068:0.153965:0.284068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16    ² = (  + 12)² :@0.129269:0.547512:0.207087:0.547512:0.207087:0.537540:0.129269:0.537540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.142790:0.547943:0.149228:0.547943:0.149228:0.538033:0.142790:0.538033:0.000000
r:@0.151468:0.547512:0.154833:0.547512:0.154833:0.537100:0.151468:0.537100:0.000000
r:@0.172435:0.547512:0.175800:0.547512:0.175800:0.537100:0.172435:0.537100:0.000000
El radio actual de la pista es 4 metros.:@0.249890:0.547512:0.416854:0.547512:0.416854:0.537540:0.249890:0.537540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 + :@0.406411:0.653487:0.422774:0.653487:0.422774:0.644085:0.406411:0.644085:0.000000:0.000000:0.000000:0.000000
126:@0.423480:0.647740:0.439666:0.647740:0.439666:0.638338:0.423480:0.638338:0.000000:0.000000:0.000000
 :@0.428123:0.659557:0.430545:0.659557:0.430545:0.650155:0.428123:0.650155:0.000000
x:@0.430545:0.659557:0.435023:0.659557:0.435023:0.649740:0.430545:0.649740:0.000000
 = :@0.440374:0.653482:0.451497:0.653482:0.451497:0.644081:0.440374:0.644081:0.000000:0.000000:0.000000
 126  :@0.451341:0.648125:0.474792:0.648125:0.474792:0.638723:0.451341:0.638723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   – 3:@0.451341:0.659941:0.474007:0.659941:0.474007:0.650540:0.451341:0.650540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.453762:0.659941:0.458240:0.659941:0.458240:0.650125:0.453762:0.650125:0.000000
 :@0.475543:0.653485:0.477965:0.653485:0.477965:0.644084:0.475543:0.644084:0.000000
El grupo tiene 21 estudiantes.:@0.129264:0.669274:0.262467:0.669274:0.262467:0.659302:0.129264:0.659302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.586717:0.333973:0.593014:0.333973:0.596066:0.323561:0.589769:0.323561:0.000000
x:@0.610170:0.333973:0.614919:0.333973:0.617971:0.323561:0.613222:0.323561:0.000000
x:@0.626974:0.333973:0.631724:0.333973:0.634776:0.323561:0.630026:0.323561:0.000000
9–:@0.604375:0.333973:0.625366:0.333973:0.625366:0.323544:0.604375:0.323544:0.000000:0.000000
2:@0.645630:0.328631:0.651352:0.328631:0.651352:0.318202:0.645630:0.318202:0.000000
2:@0.654167:0.340926:0.659889:0.340926:0.659889:0.330497:0.654167:0.330497:0.000000
2:@0.634843:0.329111:0.638139:0.329111:0.638139:0.323105:0.634843:0.323105:0.000000
π:@0.659515:0.329061:0.665953:0.329061:0.668858:0.319151:0.662420:0.319151:0.000000
=:@0.596103:0.334404:0.602541:0.334404:0.602541:0.324494:0.596103:0.324494:0.000000
+ ⎞:@0.652332:0.329062:0.674168:0.328393:0.674168:0.318483:0.652332:0.319152:0.000000:0.000000:0.000000
⎛:@0.639926:0.328393:0.644429:0.328393:0.644429:0.318483:0.639926:0.318483:0.000000
⎝:@0.639926:0.341040:0.644429:0.341040:0.644429:0.331130:0.639926:0.331130:0.000000
⎜:@0.639926:0.335108:0.644429:0.335108:0.644429:0.325198:0.639926:0.325198:0.000000
⎠:@0.669665:0.341040:0.674168:0.341040:0.674168:0.331130:0.669665:0.331130:0.000000
⎟:@0.669665:0.335108:0.674168:0.335108:0.674168:0.325198:0.669665:0.325198:0.000000
 ©:@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 :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000