﻿104:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Tema 3:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Productos notables I:@0.305293:0.083059:0.572038:0.083059:0.572038:0.055403:0.305293:0.055403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se denomina producto notable a una multiplicación de expresiones algebraicas :@0.304744:0.246273:0.907069:0.246273:0.907069:0.230603:0.304744:0.230603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que cumple reglas fijas y cuyo resultado puede ser escrito por simple inspección, :@0.304744:0.262869:0.907031:0.262869:0.907031:0.247199:0.304744:0.247199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es decir, sin realizar la multiplicación.:@0.304744:0.279465:0.571777:0.279465:0.571777:0.263796:0.304744:0.263796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los productos notables facilitan el proceso de multiplicación mediante reglas :@0.304744:0.303184:0.907141:0.303184:0.907141:0.287515:0.304744:0.287515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
específicas dadas.:@0.304744:0.319781:0.434804:0.319781:0.434804:0.304111:0.304744:0.304111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Veamos algunos productos notables.:@0.304744:0.343500:0.575792:0.343500:0.575792:0.327830:0.304744:0.327830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuadrado de un binomio :@0.304744:0.372703:0.567398:0.372703:0.567398:0.350894:0.304744:0.350894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el diseño de un circuito impreso se ha tomado en consideración usar una :@0.304744:0.395485:0.907033:0.395485:0.907033:0.379816:0.304744:0.379816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
placa de forma cuadrangular, de la cual se sabe a ciencia cierta que se dejará un :@0.304744:0.412082:0.907178:0.412082:0.907178:0.396412:0.304744:0.396412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
margen de 5 :@0.304744:0.428678:0.401489:0.428678:0.401489:0.413008:0.304744:0.413008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mm:@0.401047:0.428678:0.430310:0.428678:0.430310:0.412317:0.401047:0.412317:0.000000:0.000000
, tanto en la parte inferior como del lado derecho. De ese margen :@0.430310:0.428678:0.907012:0.428678:0.907012:0.413008:0.430310:0.413008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia adentro se podrán colocar pistas de cobre y los componentes electrónicos :@0.304744:0.445274:0.907141:0.445274:0.907141:0.429605:0.304744:0.429605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesarios. ¿Cuál es la expresión algebraica que representa el área de esa placa?:@0.304744:0.461871:0.888155:0.461871:0.888155:0.446201:0.304744:0.446201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elaboramos  un  esquema  de  la  forma  de  la  placa  y  colocamos  las  medidas :@0.304744:0.485590:0.907117:0.485590:0.907117:0.469920:0.304744:0.469920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionadas como datos. Al valor desconocido lo asignamos con la letra x.:@0.304744:0.502186:0.873784:0.502186:0.873784:0.486516:0.304744:0.486516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Otra forma de obtener el área de la placa es dividiéndola en cuatro áreas.:@0.304744:0.644528:0.837888:0.644528:0.837888:0.628858:0.304744:0.628858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como se trata de la misma placa, podemos decir que::@0.304744:0.834321:0.697363:0.834321:0.697363:0.818651:0.304744:0.818651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.317027:0.859314:0.324932:0.859314:0.329525:0.843644:0.321620:0.843644:0.000000
x:@0.377967:0.859314:0.385872:0.859314:0.390466:0.843644:0.382560:0.843644:0.000000
x:@0.426653:0.859314:0.434558:0.859314:0.439151:0.843644:0.431246:0.843644:0.000000
(:@0.311967:0.859314:0.316851:0.859314:0.316851:0.843644:0.311967:0.843644:0.000000
5):@0.342281:0.859314:0.356267:0.859314:0.356267:0.843644:0.342281:0.843644:0.000000:0.000000
10:@0.409339:0.859314:0.427128:0.859314:0.427128:0.843644:0.409339:0.843644:0.000000:0.000000
25:@0.451895:0.859314:0.469691:0.859314:0.469691:0.843644:0.451895:0.843644:0.000000:0.000000
2:@0.356257:0.851653:0.361469:0.851653:0.361469:0.842571:0.356257:0.842571:0.000000
2:@0.389610:0.851653:0.394821:0.851653:0.394821:0.842571:0.389610:0.842571:0.000000
+:@0.330134:0.859991:0.340250:0.859991:0.340250:0.844418:0.330134:0.844418:0.000000
=:@0.365939:0.859991:0.376055:0.859991:0.376055:0.844418:0.365939:0.844418:0.000000
+:@0.398348:0.859991:0.408464:0.859991:0.408464:0.844418:0.398348:0.844418:0.000000
+:@0.439755:0.859991:0.449871:0.859991:0.449871:0.844418:0.439755:0.844418:0.000000
Al analizar los dos lados de la igualdad, podemos concluir que en el segundo :@0.304744:0.888068:0.907088:0.888068:0.907088:0.872398:0.304744:0.872398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miembro tenemos el cuadrado del primer término, más el doble producto del :@0.304744:0.904665:0.907103:0.904665:0.907103:0.888995:0.304744:0.888995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primer término con el segundo y el cuadrado del segundo término.:@0.304744:0.921261:0.799688:0.921261:0.799688:0.905591:0.304744:0.905591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Efectúa:@0.311175:0.166195:0.370659:0.166195:0.370659:0.149294:0.311175:0.149294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en tu cuaderno los productos::@0.370659:0.166195:0.595196:0.166195:0.595196:0.150525:0.370659:0.150525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.139565:0.470369:0.139565:0.470369:0.122665:0.344861:0.122665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.409702:0.196893:0.418695:0.196893:0.418695:0.181224:0.409702:0.181224:0.000000
x:@0.419967:0.196893:0.427430:0.196893:0.427430:0.181500:0.419967:0.181500:0.000000
2:@0.429073:0.189232:0.434285:0.189232:0.434285:0.180151:0.429073:0.180151:0.000000
5:@0.450746:0.196893:0.459739:0.196893:0.459739:0.181224:0.450746:0.181224:0.000000
(:@0.402846:0.201707:0.408982:0.201707:0.408982:0.176478:0.402846:0.176478:0.000000
):@0.459861:0.201707:0.465997:0.201707:0.465997:0.176478:0.459861:0.176478:0.000000
3:@0.477707:0.188014:0.486700:0.188014:0.486700:0.172345:0.477707:0.172345:0.000000
2:@0.477504:0.207349:0.486497:0.207349:0.486497:0.191679:0.477504:0.191679:0.000000
x:@0.490168:0.196893:0.497631:0.196893:0.497631:0.181500:0.490168:0.181500:0.000000
2:@0.499276:0.189232:0.504488:0.189232:0.504488:0.180151:0.499276:0.180151:0.000000
1:@0.519798:0.196893:0.528790:0.196893:0.528790:0.181224:0.519798:0.181224:0.000000
(:@0.663220:0.201175:0.669356:0.201175:0.669356:0.175947:0.663220:0.175947:0.000000
)(:@0.729909:0.201175:0.742496:0.201175:0.742496:0.175947:0.729909:0.175947:0.000000:0.000000
):@0.820223:0.201175:0.826360:0.201175:0.826360:0.175947:0.820223:0.175947:0.000000
−:@0.691017:0.197039:0.701134:0.197039:0.701134:0.181466:0.691017:0.181466:0.000000
+:@0.772946:0.197039:0.783063:0.197039:0.783063:0.181466:0.772946:0.181466:0.000000
ax bx:@0.670443:0.196361:0.720567:0.196361:0.720567:0.180000:0.670443:0.180000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.752373:0.196361:0.769050:0.196361:0.769050:0.180000:0.752373:0.180000:0.000000:0.000000
bx:@0.794204:0.196361:0.810881:0.196361:0.810881:0.180000:0.794204:0.180000:0.000000:0.000000
2:@0.743213:0.196361:0.752205:0.196361:0.752205:0.180692:0.743213:0.180692:0.000000
3:@0.785836:0.196361:0.794828:0.196361:0.794828:0.180692:0.785836:0.180692:0.000000
2:@0.722218:0.188699:0.727430:0.188699:0.727430:0.179618:0.722218:0.179618:0.000000
2:@0.812526:0.188699:0.817737:0.188699:0.817737:0.179618:0.812526:0.179618:0.000000
Memorias de computador:@0.096359:0.557310:0.253780:0.557310:0.253780:0.544489:0.096359:0.544489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 83556583.:@0.091447:0.544332:0.091447:0.472735:0.080059:0.472735:0.080059:0.544332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La matemática es :@0.106105:0.162649:0.226203:0.162649:0.226203:0.148404:0.106105:0.148404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamental para la :@0.106105:0.177737:0.243810:0.177737:0.243810:0.163492:0.106105:0.163492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gente que vive en el :@0.106105:0.192825:0.245399:0.192825:0.245399:0.178579:0.106105:0.178579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
campo. Esta les ayuda :@0.106105:0.207912:0.255602:0.207912:0.255602:0.193667:0.106105:0.193667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a medir sus terrenos, :@0.106105:0.223000:0.247192:0.223000:0.247192:0.208755:0.106105:0.208755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dividirlos en parcelas; :@0.106105:0.238088:0.251832:0.238088:0.251832:0.223842:0.106105:0.223842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para sus plantaciones; :@0.106105:0.253175:0.256223:0.253175:0.256223:0.238930:0.106105:0.238930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para establecer la :@0.106105:0.268263:0.226287:0.268263:0.226287:0.254018:0.106105:0.254018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidad de semillas :@0.106105:0.283350:0.245468:0.283350:0.245468:0.269105:0.106105:0.269105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que necesita, los :@0.106105:0.298438:0.220071:0.298438:0.220071:0.284193:0.106105:0.284193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
productos que vende, :@0.106105:0.313526:0.256573:0.313526:0.256573:0.299280:0.106105:0.299280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre otros.:@0.106105:0.328613:0.181675:0.328613:0.181675:0.314368:0.106105:0.314368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga  elabora :@0.106105:0.350830:0.225298:0.350830:0.225298:0.335717:0.106105:0.335717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.158088:0.350830:0.169127:0.350830:0.169127:0.336585:0.158088:0.336585:0.000000:0.000000
un :@0.225298:0.350830:0.246842:0.350830:0.246842:0.336585:0.225298:0.336585:0.000000:0.000000:0.000000
párrafo acerca de la :@0.106105:0.365917:0.239720:0.365917:0.239720:0.351672:0.106105:0.351672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
importancia de las :@0.106105:0.381005:0.232852:0.381005:0.232852:0.366760:0.106105:0.366760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas en la :@0.106105:0.396093:0.231228:0.396093:0.231228:0.381847:0.106105:0.381847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agricultura.:@0.106105:0.411180:0.180703:0.411180:0.180703:0.396935:0.106105:0.396935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.136439:0.136889:0.266163:0.136889:0.266163:0.118587:0.136439:0.118587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El gráfico nos muestra un cuadrado cuyo :@0.594555:0.540782:0.870531:0.540782:0.870531:0.526536:0.594555:0.526536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lado mide x + 5. Por lo tanto, su área es::@0.594555:0.555869:0.856325:0.555869:0.856325:0.541624:0.594555:0.541624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.611256:0.575826:0.621372:0.575826:0.621372:0.560253:0.611256:0.560253:0.000000
+:@0.642767:0.575826:0.652884:0.575826:0.652884:0.560253:0.642767:0.560253:0.000000
+:@0.687896:0.575826:0.698013:0.575826:0.698013:0.560253:0.687896:0.560253:0.000000
=:@0.611256:0.598419:0.621372:0.598419:0.621372:0.582846:0.611256:0.582846:0.000000
+:@0.642767:0.598419:0.652884:0.598419:0.652884:0.582846:0.642767:0.582846:0.000000
A:@0.598633:0.575142:0.608528:0.575142:0.608528:0.558781:0.598633:0.558781:0.000000
x:@0.631397:0.575142:0.638860:0.575142:0.638860:0.558781:0.631397:0.558781:0.000000
x:@0.676526:0.575142:0.683989:0.575142:0.683989:0.558781:0.676526:0.558781:0.000000
A:@0.598639:0.597741:0.608535:0.597741:0.608535:0.581380:0.598639:0.581380:0.000000
x:@0.631404:0.597741:0.638867:0.597741:0.638867:0.581380:0.631404:0.581380:0.000000
(:@0.624235:0.575142:0.629119:0.575142:0.629119:0.559473:0.624235:0.559473:0.000000
5)(:@0.655654:0.575142:0.674248:0.575142:0.674248:0.559473:0.655654:0.559473:0.000000:0.000000:0.000000
5):@0.700784:0.575142:0.714770:0.575142:0.714770:0.559473:0.700784:0.559473:0.000000:0.000000
(:@0.624254:0.597741:0.629137:0.597741:0.629137:0.582071:0.624254:0.582071:0.000000
5):@0.655673:0.597741:0.669659:0.597741:0.669659:0.582071:0.655673:0.582071:0.000000:0.000000
2:@0.669628:0.590080:0.674839:0.590080:0.674839:0.580999:0.669628:0.580999:0.000000
x:@0.418201:0.537182:0.425664:0.537182:0.425664:0.520821:0.418201:0.520821:0.000000
x:@0.371948:0.563736:0.379411:0.563736:0.379411:0.547375:0.371948:0.547375:0.000000
5:@0.371948:0.603471:0.380461:0.603471:0.380461:0.587109:0.371948:0.587109:0.000000
5:@0.460953:0.536712:0.469467:0.536712:0.469467:0.520350:0.460953:0.520350:0.000000
Obtenemos el área total al sumar las :@0.600295:0.688972:0.845714:0.688972:0.845714:0.674727:0.600295:0.674727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuatro áreas.:@0.600295:0.704060:0.683855:0.704060:0.683855:0.689814:0.600295:0.689814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.616993:0.726218:0.627110:0.726218:0.627110:0.710645:0.616993:0.710645:0.000000
+:@0.650495:0.726218:0.660612:0.726218:0.660612:0.710645:0.650495:0.710645:0.000000
+:@0.684567:0.726218:0.694684:0.726218:0.694684:0.710645:0.684567:0.710645:0.000000
+:@0.718640:0.726218:0.728757:0.726218:0.728757:0.710645:0.718640:0.710645:0.000000
Ax:@0.604370:0.725541:0.639328:0.725541:0.639328:0.709179:0.604370:0.709179:0.000000:0.000000
x:@0.673216:0.725541:0.680679:0.725541:0.680679:0.709179:0.673216:0.709179:0.000000
x:@0.707289:0.725541:0.714752:0.725541:0.714752:0.709179:0.707289:0.709179:0.000000
5:@0.663376:0.725541:0.672368:0.725541:0.672368:0.709871:0.663376:0.709871:0.000000
5:@0.697448:0.725541:0.706441:0.725541:0.706441:0.709871:0.697448:0.709871:0.000000
5:@0.731521:0.725541:0.740514:0.725541:0.740514:0.709871:0.731521:0.709871:0.000000
2:@0.640971:0.717878:0.646183:0.717878:0.646183:0.708797:0.640971:0.708797:0.000000
2:@0.740228:0.717878:0.745439:0.717878:0.745439:0.708797:0.740228:0.708797:0.000000
Reduciendo términos semejantes, :@0.600295:0.746392:0.830266:0.746392:0.830266:0.732146:0.600295:0.732146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tenemos::@0.600295:0.761479:0.662396:0.761479:0.662396:0.747234:0.600295:0.747234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.616993:0.783638:0.627110:0.783638:0.627110:0.768065:0.616993:0.768065:0.000000
+:@0.650495:0.783638:0.660612:0.783638:0.660612:0.768065:0.650495:0.768065:0.000000
+:@0.693007:0.783638:0.703124:0.783638:0.703124:0.768065:0.693007:0.768065:0.000000
Ax:@0.604370:0.782960:0.639328:0.782960:0.639328:0.766599:0.604370:0.766599:0.000000:0.000000
x:@0.681637:0.782960:0.689101:0.782960:0.689101:0.766599:0.681637:0.766599:0.000000
10:@0.662215:0.782960:0.679997:0.782960:0.679997:0.767291:0.662215:0.767291:0.000000:0.000000
25:@0.705870:0.782960:0.723652:0.782960:0.723652:0.767291:0.705870:0.767291:0.000000:0.000000
2:@0.640971:0.775298:0.646183:0.775298:0.646183:0.766217:0.640971:0.766217:0.000000
x:@0.419861:0.700319:0.427324:0.700319:0.427324:0.683958:0.419861:0.683958:0.000000
x:@0.373608:0.726873:0.381071:0.726873:0.381071:0.710512:0.373608:0.710512:0.000000
5:@0.373608:0.766608:0.382121:0.766608:0.382121:0.750247:0.373608:0.750247:0.000000
5:@0.462613:0.699849:0.471127:0.699849:0.471127:0.683488:0.462613:0.683488:0.000000
M.4.1.33. :@0.096359:0.941045:0.144696:0.941045:0.144696:0.930290:0.096359:0.930290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconocer y calcular productos notables e identificar factores de expresiones algebraicas.:@0.144696:0.941045:0.561305:0.941045:0.561305:0.931074:0.144696:0.931074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A fin de que un robot :@0.106529:0.664253:0.253647:0.664253:0.253647:0.650008:0.106529:0.650008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realice las funciones :@0.106529:0.679341:0.243581:0.679341:0.243581:0.665096:0.106529:0.665096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para las que fue creado, :@0.106529:0.694429:0.267785:0.694429:0.267785:0.680183:0.106529:0.680183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debe contar con un :@0.106529:0.709516:0.242140:0.709516:0.242140:0.695271:0.106529:0.695271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circuito de control.:@0.106529:0.724604:0.231182:0.724604:0.231182:0.710359:0.106529:0.710359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esos circuitos de control :@0.106529:0.746820:0.270994:0.746820:0.270994:0.732575:0.106529:0.732575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se diseñan y luego son :@0.106529:0.761908:0.261908:0.761908:0.261908:0.747663:0.106529:0.747663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elaborados en placas :@0.106529:0.776996:0.250633:0.776996:0.250633:0.762750:0.106529:0.762750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de circuito impreso, :@0.106529:0.792083:0.241485:0.792083:0.241485:0.777838:0.106529:0.777838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde se colocan los :@0.106529:0.807171:0.251438:0.807171:0.251438:0.792926:0.106529:0.792926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elementos electrónicos. :@0.106529:0.822259:0.268873:0.822259:0.268873:0.808013:0.106529:0.808013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estas placas son hechas :@0.106529:0.837346:0.267570:0.837346:0.267570:0.823101:0.106529:0.823101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a base de cobre para :@0.106529:0.852434:0.248856:0.852434:0.248856:0.838189:0.106529:0.838189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la conducción, y de un :@0.106529:0.867521:0.261137:0.867521:0.261137:0.853276:0.106529:0.853276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
material aislante, como, :@0.106529:0.882609:0.266846:0.882609:0.266846:0.868364:0.106529:0.868364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la baquelita. :@0.106529:0.897697:0.190727:0.897697:0.190727:0.883451:0.106529:0.883451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.136865:0.628526:0.250102:0.628526:0.250102:0.611625:0.136865:0.611625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.136865:0.642356:0.262394:0.642356:0.262394:0.625456:0.136865:0.625456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.561246:0.195161:0.568075:0.195161:0.568075:0.184649:0.561246:0.184649:0.000000
+:@0.597605:0.195161:0.604433:0.195161:0.604433:0.184649:0.597605:0.184649:0.000000
x:@0.548099:0.194703:0.553136:0.194703:0.553136:0.183660:0.548099:0.183660:0.000000
x:@0.585029:0.194703:0.590067:0.194703:0.590067:0.183660:0.585029:0.183660:0.000000
3:@0.541458:0.194703:0.547528:0.194703:0.547528:0.184126:0.541458:0.184126:0.000000
19:@0.570152:0.188656:0.582155:0.188656:0.582155:0.178079:0.570152:0.178079:0.000000:0.000000
2:@0.573610:0.201781:0.579680:0.201781:0.579680:0.191204:0.573610:0.191204:0.000000
5:@0.606302:0.194703:0.612372:0.194703:0.612372:0.184126:0.606302:0.184126:0.000000
4:@0.554532:0.189532:0.558050:0.189532:0.558050:0.183402:0.554532:0.183402:0.000000
2:@0.591174:0.189532:0.594692:0.189532:0.594692:0.183402:0.591174:0.183402:0.000000
+:@0.717513:0.212955:0.724341:0.212955:0.724341:0.202444:0.717513:0.202444:0.000000
−:@0.751333:0.212955:0.758162:0.212955:0.758162:0.202444:0.751333:0.202444:0.000000
ax:@0.693593:0.212498:0.709975:0.212498:0.709975:0.201454:0.693593:0.201454:0.000000:0.000000
abx:@0.726456:0.212498:0.743932:0.212498:0.743932:0.201454:0.726456:0.201454:0.000000:0.000000:0.000000
bx:@0.765675:0.212498:0.782057:0.212498:0.782057:0.201454:0.765675:0.201454:0.000000:0.000000
2:@0.687399:0.212498:0.693469:0.212498:0.693469:0.201921:0.687399:0.201921:0.000000
3:@0.760016:0.212498:0.766086:0.212498:0.766086:0.201921:0.760016:0.201921:0.000000
2:@0.700233:0.207326:0.703750:0.207326:0.703750:0.201196:0.700233:0.201196:0.000000
2:@0.711082:0.207326:0.714600:0.207326:0.714600:0.201196:0.711082:0.201196:0.000000
3:@0.745040:0.207326:0.748558:0.207326:0.748558:0.201196:0.745040:0.201196:0.000000
2:@0.772318:0.207326:0.775836:0.207326:0.775836:0.201196:0.772318:0.201196:0.000000
4:@0.783452:0.207326:0.786970:0.207326:0.786970:0.201196:0.783452:0.201196:0.000000