135:@0.938423:0.974518:0.967620:0.974518:0.967620:0.956590:0.938423:0.956590:0.000000:0.000000:0.000000
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
• :@0.082576:0.151132:0.091595:0.151132:0.091595:0.134462:0.082576:0.134462:0.000000:0.000000
Resuelvan los problemas.:@0.112775:0.151132:0.304245:0.151132:0.304245:0.134462:0.112775:0.134462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k.  ¿Qué número multiplicado por cuatro es dos :@0.114120:0.175992:0.480361:0.175992:0.480361:0.159559:0.114120:0.159559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
veces menor que su cuadrado? :@0.144248:0.192634:0.374902:0.192634:0.374902:0.176200:0.144248:0.176200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l. :@0.114120:0.217496:0.124888:0.217496:0.124888:0.201062:0.114120:0.201062:0.000000:0.000000:0.000000
El producto de dos números consecutivos es :@0.144322:0.217496:0.480352:0.217496:0.480352:0.201062:0.144322:0.201062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6. ¿Cuáles son esos números?:@0.144248:0.234138:0.357283:0.234138:0.357283:0.217704:0.144248:0.217704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.082576:0.259000:0.091595:0.259000:0.091595:0.242330:0.082576:0.242330:0.000000:0.000000
Utilicen la fórmula general para resolver las :@0.112775:0.259000:0.480283:0.259000:0.480283:0.242330:0.112775:0.242330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones de segundo grado.:@0.112701:0.275642:0.344362:0.275642:0.344362:0.258972:0.112701:0.258972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m. :@0.114120:0.305293:0.136282:0.305293:0.136282:0.288859:0.114120:0.288859:0.000000:0.000000:0.000000
n. :@0.114120:0.334946:0.131073:0.334946:0.131073:0.318512:0.114120:0.318512:0.000000:0.000000:0.000000
o. :@0.114120:0.364599:0.130649:0.364599:0.130649:0.348165:0.114120:0.348165:0.000000:0.000000:0.000000
p. :@0.114120:0.394250:0.131018:0.394250:0.131018:0.377816:0.114120:0.377816:0.000000:0.000000:0.000000
q. :@0.114120:0.423903:0.130999:0.423903:0.130999:0.407469:0.114120:0.407469:0.000000:0.000000:0.000000
• :@0.082576:0.448765:0.091595:0.448765:0.091595:0.432095:0.082576:0.432095:0.000000:0.000000
Resuelvan los siguientes problemas.:@0.112775:0.448765:0.385526:0.448765:0.385526:0.432095:0.112775:0.432095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r. :@0.114120:0.473625:0.125790:0.473625:0.125790:0.457192:0.114120:0.457192:0.000000:0.000000:0.000000
Dentro de 11 años, la edad de Juan será la :@0.144322:0.473625:0.480216:0.473625:0.480216:0.457192:0.144322:0.457192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mitad del cuadrado de la edad que tenía hace :@0.144248:0.490267:0.480588:0.490267:0.480588:0.473833:0.144248:0.473833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13 años. ¿Cuál es la edad de Juan? :@0.144248:0.506909:0.394977:0.506909:0.394977:0.490475:0.144248:0.490475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s.  La base de un triángulo es 3 :@0.114120:0.531771:0.349649:0.531771:0.349649:0.515337:0.114120:0.515337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.349140:0.531771:0.371339:0.531771:0.371339:0.515365:0.349140:0.515365:0.000000:0.000000
 más larga que :@0.371284:0.531771:0.480374:0.531771:0.480374:0.515337:0.371284:0.515337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la altura. Si el área del triángulo es de 119 :@0.144248:0.548413:0.446048:0.548413:0.446048:0.531979:0.144248:0.531979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.445759:0.548413:0.467958:0.548413:0.467958:0.532007:0.445759:0.532007:0.000000:0.000000
², :@0.467903:0.548413:0.480328:0.548413:0.480328:0.531979:0.467903:0.531979:0.000000:0.000000:0.000000
¿cuánto miden la base y la altura del triángulo? :@0.144248:0.565055:0.480466:0.565055:0.480466:0.548621:0.144248:0.548621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.082576:0.599565:0.091595:0.599565:0.091595:0.582895:0.082576:0.582895:0.000000:0.000000
Hallen la solución de las ecuaciones de segundo :@0.112775:0.599565:0.480357:0.599565:0.480357:0.582895:0.112775:0.582895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grado, despejen x en términos de y. :@0.112701:0.616207:0.384718:0.616207:0.384718:0.599537:0.112701:0.599537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t. :@0.114120:0.642996:0.126894:0.642996:0.126894:0.626563:0.114120:0.626563:0.000000:0.000000:0.000000
u. :@0.114120:0.669754:0.130797:0.669754:0.130797:0.653321:0.114120:0.653321:0.000000:0.000000:0.000000
• :@0.082576:0.694615:0.091595:0.694615:0.091595:0.677945:0.082576:0.677945:0.000000:0.000000
Construyan las ecuaciones de segundo grado :@0.112775:0.694615:0.480022:0.694615:0.480022:0.677945:0.112775:0.677945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dadas sus raíces en cada literal.:@0.112701:0.711257:0.346541:0.711257:0.346541:0.694587:0.112701:0.694587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v. :@0.114120:0.736119:0.128882:0.736119:0.128882:0.719685:0.114120:0.719685:0.000000:0.000000:0.000000
x:@0.144322:0.736119:0.151777:0.736119:0.151777:0.719713:0.144322:0.719713:0.000000
1:@0.151710:0.739291:0.156947:0.739291:0.156947:0.729710:0.151710:0.729710:0.000000
 = 10  y    = 2  :@0.156899:0.736119:0.265733:0.736119:0.265733:0.719685:0.156899:0.719685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.217330:0.736119:0.224785:0.736119:0.224785:0.719713:0.217330:0.719713:0.000000
2:@0.224705:0.739291:0.229942:0.739291:0.229942:0.729710:0.224705:0.729710:0.000000
w. :@0.114120:0.760981:0.133852:0.760981:0.133852:0.744547:0.114120:0.744547:0.000000:0.000000:0.000000
x:@0.144322:0.760981:0.151777:0.760981:0.151777:0.744575:0.144322:0.744575:0.000000
1:@0.151710:0.764153:0.156947:0.764153:0.156947:0.754572:0.151710:0.754572:0.000000
 = –4  y    = 12:@0.156899:0.760981:0.266821:0.760981:0.266821:0.744547:0.156899:0.744547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.217551:0.760981:0.225006:0.760981:0.225006:0.744575:0.217551:0.744575:0.000000
2:@0.224926:0.764153:0.230163:0.764153:0.230163:0.754572:0.224926:0.754572:0.000000
• :@0.082576:0.785841:0.091595:0.785841:0.091595:0.769172:0.082576:0.769172:0.000000:0.000000
Observen las gráficas y determinen el tipo de :@0.112775:0.785841:0.480434:0.785841:0.480434:0.769172:0.112775:0.769172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíces que tiene la función.:@0.112701:0.802483:0.314491:0.802483:0.314491:0.785814:0.112701:0.785814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x. :@0.114120:0.827345:0.129103:0.827345:0.129103:0.810911:0.114120:0.810911:0.000000:0.000000:0.000000
f(x):@0.187971:0.835346:0.207058:0.835346:0.207058:0.821050:0.187971:0.821050:0.000000:0.000000:0.000000:0.000000
x:@0.281881:0.872360:0.288377:0.872360:0.288377:0.858064:0.281881:0.858064:0.000000
y:@0.214805:0.825534:0.221317:0.825534:0.221317:0.811238:0.214805:0.811238:0.000000
• :@0.523717:0.152024:0.532737:0.152024:0.532737:0.135355:0.523717:0.135355:0.000000:0.000000
Resuelvan los siguientes problemas.:@0.553917:0.152024:0.826668:0.152024:0.826668:0.135355:0.553917:0.135355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y.  Una raíz de la ecuación 2  ² –:@0.555261:0.176886:0.820764:0.176886:0.820764:0.160452:0.555261:0.160452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.785569:0.176886:0.793024:0.176886:0.793024:0.160480:0.785569:0.160480:0.000000
 kx:@0.821095:0.176886:0.841601:0.176886:0.841601:0.160480:0.821095:0.160480:0.000000:0.000000:0.000000
 + 48 = 0  :@0.841858:0.176886:0.921451:0.176886:0.921451:0.160452:0.841858:0.160452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es 6. ¿Cuál es la otra raíz y cuál es el valor de  ? :@0.585372:0.193528:0.921433:0.193528:0.921433:0.177094:0.585372:0.177094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.902897:0.193528:0.910462:0.193528:0.910462:0.177122:0.902897:0.177122:0.000000
z.  Determinen   en la ecuación   ² – 16  +   = 0, :@0.555261:0.231613:0.921470:0.231613:0.921470:0.215179:0.555261:0.215179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.677205:0.231613:0.684771:0.231613:0.684771:0.215207:0.677205:0.215207:0.000000
x:@0.798693:0.231613:0.806148:0.231613:0.806148:0.215207:0.798693:0.215207:0.000000
x:@0.851209:0.231613:0.858664:0.231613:0.858664:0.215207:0.851209:0.215207:0.000000
k:@0.878249:0.231613:0.885815:0.231613:0.885815:0.215207:0.878249:0.215207:0.000000
sabiendo que sus raíces se diferencian en  :@0.585390:0.248255:0.921470:0.248255:0.921470:0.231821:0.585390:0.231821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 unidades.:@0.585390:0.264896:0.668326:0.264896:0.668326:0.248463:0.585390:0.248463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.523717:0.302981:0.532737:0.302981:0.532737:0.286311:0.523717:0.286311:0.000000:0.000000
Resuelvan los siguientes problemas: :@0.553917:0.302981:0.830777:0.302981:0.830777:0.286311:0.553917:0.286311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aa.  Con el fin de ahorrar alambre, el grupo de :@0.555261:0.327842:0.921626:0.327842:0.921626:0.311408:0.555261:0.311408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estudiantes de décimo decide utilizar una de :@0.585390:0.344483:0.921591:0.344483:0.921591:0.328050:0.585390:0.328050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las paredes del edificio como lado del terreno. :@0.585390:0.361125:0.921731:0.361125:0.921731:0.344691:0.585390:0.344691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De esta forma, solamente necesitan cerrar con :@0.585390:0.377767:0.921291:0.377767:0.921291:0.361333:0.585390:0.361333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
100   de alambre tres lados del terreno. :@0.585390:0.394409:0.921365:0.394409:0.921365:0.377975:0.585390:0.377975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.621118:0.394409:0.635734:0.394409:0.635734:0.378003:0.621118:0.378003:0.000000
¿Cuáles serán las nuevas dimensiones del :@0.585408:0.411051:0.921416:0.411051:0.921416:0.394617:0.585408:0.394617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terreno, de tal manera que el área por cercar :@0.585408:0.427693:0.921471:0.427693:0.921471:0.411259:0.585408:0.411259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sea máxima? :@0.585408:0.444334:0.682507:0.444334:0.682507:0.427901:0.585408:0.427901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab.  Este problema ha sido tomado del libro de :@0.555261:0.471698:0.921534:0.471698:0.921534:0.455264:0.555261:0.455264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática chino conocido como :@0.585390:0.488339:0.835892:0.488339:0.835892:0.471906:0.585390:0.471906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Chui-chang :@0.835140:0.488339:0.920781:0.488339:0.920781:0.471933:0.835140:0.471933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suan-shu:@0.585390:0.504981:0.649661:0.504981:0.649661:0.488575:0.585390:0.488575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. “Un vástago de bambú de 10 pies de :@0.649502:0.504981:0.921275:0.504981:0.921275:0.488548:0.649502:0.488548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
largo se rompe de forma tal que su punta toca :@0.585390:0.521623:0.921613:0.521623:0.921613:0.505189:0.585390:0.505189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la tierra a 3 pies de la base”. ¿A qué altura se :@0.585390:0.538265:0.921552:0.538265:0.921552:0.521831:0.585390:0.521831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rompió el bambú?:@0.585390:0.554907:0.719599:0.554907:0.719599:0.538473:0.585390:0.538473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ac.  Una ventana tiene la forma de un rectángulo :@0.555261:0.582270:0.921438:0.582270:0.921438:0.565836:0.555261:0.565836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coronado por un semicírculo. Si el perímetro de :@0.585390:0.598912:0.921650:0.598912:0.921650:0.582478:0.585390:0.582478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ventana es de 9 :@0.585390:0.615554:0.738380:0.615554:0.738380:0.599120:0.585390:0.599120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.742073:0.615554:0.756688:0.615554:0.756688:0.599148:0.742073:0.599148:0.000000
,  ¿cuál es  el modelo :@0.756817:0.615554:0.921359:0.615554:0.921359:0.599120:0.756817:0.599120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemático que expresa el área en función del :@0.585390:0.632196:0.921333:0.632196:0.921333:0.615762:0.585390:0.615762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ancho de la ventana? :@0.585390:0.648837:0.736672:0.648837:0.736672:0.632404:0.585390:0.632404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad indagatoria:@0.525319:0.702965:0.688679:0.702965:0.688679:0.686295:0.525319:0.686295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.522531:0.723828:0.531550:0.723828:0.531550:0.707158:0.522531:0.707158:0.000000:0.000000
Indaga y resuelve en tu cuaderno.:@0.552731:0.723828:0.808017:0.723828:0.808017:0.707158:0.552731:0.707158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Plantea  un  problema  en  el  cual,  para  su :@0.554076:0.748688:0.920224:0.748688:0.920224:0.732255:0.554076:0.732255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolución, debas tomar medidas y luego :@0.584204:0.765330:0.920022:0.765330:0.920022:0.748896:0.584204:0.748896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicar las ecuaciones de segundo grado.:@0.584204:0.781972:0.881891:0.781972:0.881891:0.765538:0.584204:0.765538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.631897:0.781972:0.635707:0.781972:0.635707:0.765025:0.631897:0.765025:0.000000
b.  Indaga sobre las ecuaciones del tiro vertical :@0.554076:0.812909:0.920143:0.812909:0.920143:0.796476:0.554076:0.796476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba. Halla el tiempo que demora un :@0.584204:0.829551:0.920092:0.829551:0.920092:0.813117:0.584204:0.813117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
objeto alcanzar su altura máxima si es lanzado :@0.584204:0.846193:0.920513:0.846193:0.920513:0.829759:0.584204:0.829759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con una velocidad de 20 m/s. Considera el :@0.584204:0.862835:0.920353:0.862835:0.920353:0.846401:0.584204:0.846401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor de la gravedad g = 10 m/s . Utiliza solo la :@0.584204:0.879477:0.920344:0.879477:0.920344:0.863043:0.584204:0.863043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.810810:0.873413:0.816047:0.873413:0.816047:0.863832:0.810810:0.863832:0.000000
ecuación de la altura en función del tiempo.:@0.584199:0.896119:0.903115:0.896119:0.903115:0.879685:0.584199:0.879685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000