197:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000 A:@0.519752:0.362909:0.523934:0.362909:0.523934:0.356705:0.519752:0.356705:0.000000 A’:@0.595001:0.317483:0.600205:0.317483:0.600205:0.311279:0.595001:0.311279:0.000000:0.000000 O:@0.440344:0.412754:0.445262:0.412754:0.445262:0.406549:0.440344:0.406549:0.000000 O:@0.202862:0.392752:0.209721:0.392752:0.209721:0.384098:0.202862:0.384098:0.000000 P:@0.259734:0.373456:0.264940:0.373456:0.264940:0.364803:0.259734:0.364803:0.000000 P’:@0.350202:0.345199:0.357553:0.345199:0.357553:0.336545:0.350202:0.336545:0.000000:0.000000 Homotecia:@0.096359:0.137561:0.209944:0.137561:0.209944:0.115752:0.096359:0.115752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Es una transformación geométrica que, a partir de un punto fijo, multiplica las distan-:@0.110882:0.166340:0.678797:0.166340:0.678797:0.152094:0.110882:0.152094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cias por un mismo factor; permite ampliar o reducir el tamaño de una figura, conser-:@0.107532:0.181427:0.682139:0.181427:0.682139:0.167182:0.107532:0.167182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 vando la medida de sus ángulos y manteniendo una razón constante en la medida de :@0.107532:0.196515:0.685875:0.196515:0.685875:0.182270:0.107532:0.182270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sus lados.:@0.107532:0.211602:0.170754:0.211602:0.170754:0.197357:0.107532:0.197357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • Si > , entonces P’ :@0.733044:0.190090:0.880011:0.190090:0.880011:0.175845:0.733044:0.175845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.762227:0.190090:0.769112:0.190090:0.769112:0.175216:0.762227:0.175216:0.000000 0:@0.786434:0.190090:0.794173:0.190090:0.794173:0.175216:0.786434:0.175216:0.000000 está en el :@0.747283:0.207692:0.814226:0.207692:0.814226:0.193447:0.747283:0.193447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.819255:0.196148:0.833930:0.196148:0.833930:0.177877:0.819255:0.177877:0.000000:0.000000 OP:@0.816900:0.207692:0.835344:0.207692:0.835344:0.192818:0.816900:0.192818:0.000000:0.000000 y :@0.839358:0.207692:0.857735:0.207692:0.857735:0.193447:0.839358:0.193447:0.000000:0.000000:0.000000:0.000000 OP k:@0.747287:0.225295:0.789520:0.225295:0.789520:0.210421:0.747287:0.210421:0.000000:0.000000:0.000000:0.000000 ’= × :@0.766066:0.225295:0.806842:0.225295:0.806842:0.211049:0.766066:0.211049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 OP.:@0.806842:0.225295:0.826609:0.225295:0.826609:0.210421:0.806842:0.210421:0.000000:0.000000:0.000000 • Si < 0, entonces :@0.733047:0.250026:0.866780:0.250026:0.866780:0.235780:0.733047:0.235780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.762230:0.250026:0.769115:0.250026:0.769115:0.235152:0.762230:0.235152:0.000000 P’ está en el rayo :@0.747287:0.267628:0.860179:0.267628:0.860179:0.253383:0.747287:0.253383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 opuesto al :@0.747287:0.285230:0.824865:0.285230:0.824865:0.270985:0.747287:0.270985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.752314:0.291288:0.766989:0.291288:0.766989:0.273017:0.752314:0.273017:0.000000:0.000000 OP:@0.749959:0.302831:0.768403:0.302831:0.768403:0.287957:0.749959:0.287957:0.000000:0.000000 y :@0.772417:0.302831:0.787126:0.302831:0.787126:0.288586:0.772417:0.288586:0.000000:0.000000:0.000000 OP:@0.787126:0.302831:0.805905:0.302831:0.805905:0.287957:0.787126:0.287957:0.000000:0.000000 ’= :@0.805905:0.302831:0.822473:0.302831:0.822473:0.288586:0.805905:0.288586:0.000000:0.000000:0.000000 k:@0.828179:0.301574:0.835064:0.301574:0.835064:0.286700:0.828179:0.286700:0.000000 × :@0.842569:0.302831:0.856223:0.302831:0.856223:0.288586:0.842569:0.288586:0.000000:0.000000 OP:@0.856223:0.302831:0.875002:0.302831:0.875002:0.287957:0.856223:0.287957:0.000000:0.000000 .:@0.875002:0.302831:0.877917:0.302831:0.877917:0.288586:0.875002:0.288586:0.000000 • La imagen de es .:@0.733042:0.326305:0.887918:0.326305:0.887918:0.312060:0.733042:0.312060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 O:@0.841681:0.326305:0.852487:0.326305:0.852487:0.311431:0.841681:0.311431:0.000000 O:@0.874198:0.326305:0.885003:0.326305:0.885003:0.311431:0.874198:0.311431:0.000000 • :@0.733042:0.349779:0.740849:0.349779:0.740849:0.335533:0.733042:0.335533:0.000000:0.000000 k:@0.752996:0.348520:0.759881:0.348520:0.759881:0.333646:0.752996:0.333646:0.000000 > 1 es una :@0.767393:0.349777:0.843750:0.349777:0.843750:0.335532:0.767393:0.335532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ampliación.:@0.747290:0.366122:0.824301:0.366122:0.824301:0.351877:0.747290:0.351877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.733051:0.389596:0.740855:0.389596:0.740855:0.375351:0.733051:0.375351:0.000000:0.000000 k:@0.752996:0.388338:0.759881:0.388338:0.759881:0.373464:0.752996:0.373464:0.000000 < 1 es una :@0.767393:0.389595:0.843750:0.389595:0.843750:0.375350:0.767393:0.375350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 reducción.:@0.747290:0.405940:0.817432:0.405940:0.817432:0.391695:0.747290:0.391695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Recuerda que...:@0.763096:0.165064:0.885177:0.165064:0.885177:0.148163:0.763096:0.148163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La homotecia transforma un polígono en otro semejante.:@0.096359:0.250272:0.516207:0.250272:0.516207:0.234602:0.096359:0.234602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una homotecia con centro y razón es una transformación en el plano porque :@0.096359:0.273991:0.698790:0.273991:0.698790:0.258321:0.096359:0.258321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 O:@0.299096:0.273991:0.310982:0.273991:0.310982:0.257630:0.299096:0.257630:0.000000 k:@0.373174:0.273991:0.380747:0.273991:0.380747:0.257630:0.373174:0.257630:0.000000 a cada punto le hace corresponder otro punto ’. Estos están alineados y cumplen :@0.096359:0.290587:0.698650:0.290587:0.698650:0.274918:0.096359:0.274918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.194265:0.290587:0.203037:0.290587:0.203037:0.274226:0.194265:0.274226:0.000000 P:@0.444605:0.290587:0.453376:0.290587:0.453376:0.274226:0.444605:0.274226:0.000000 lo siguiente.:@0.096359:0.307184:0.184847:0.307184:0.184847:0.291514:0.096359:0.291514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En función de la razón, las homotecias pueden verse de la siguiente manera::@0.096359:0.440480:0.654600:0.440480:0.654600:0.424811:0.096359:0.424811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 1:@0.096359:0.712662:0.165865:0.712662:0.165865:0.697549:0.096359:0.697549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dibujamos:@0.096359:0.736700:0.183024:0.736700:0.183024:0.719800:0.096359:0.719800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 un triángulo equilátero de 1 :@0.183024:0.736700:0.404506:0.736700:0.404506:0.721031:0.183024:0.721031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.406183:0.736700:0.428480:0.736700:0.428480:0.720339:0.406183:0.720339:0.000000:0.000000 de lado y :@0.428480:0.736700:0.508825:0.736700:0.508825:0.721031:0.428480:0.721031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 aplicamos:@0.510502:0.736700:0.591436:0.736700:0.591436:0.719800:0.510502:0.719800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la homotecia :@0.591436:0.736700:0.698703:0.736700:0.698703:0.721031:0.591436:0.721031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de centro y razón: :@0.096359:0.753297:0.247224:0.753297:0.247224:0.737627:0.096359:0.737627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 O:@0.171155:0.753297:0.183041:0.753297:0.183041:0.736936:0.171155:0.736936:0.000000 :@0.124848:0.775508:0.128570:0.775508:0.128570:0.758373:0.124848:0.758373:0.000000 a) :@0.153337:0.775508:0.228024:0.775508:0.228024:0.758373:0.153337:0.758373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.228024:0.775508:0.235598:0.775508:0.235598:0.759147:0.228024:0.759147:0.000000 = 3 :@0.235598:0.775508:0.281326:0.775508:0.281326:0.759839:0.235598:0.759839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.337601:0.775508:0.341636:0.775508:0.341636:0.759839:0.337601:0.759839:0.000000 = 0,5:@0.397909:0.775508:0.579421:0.775508:0.579421:0.759839:0.397909:0.759839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b):@0.502836:0.775508:0.519494:0.775508:0.519494:0.758373:0.502836:0.758373:0.000000:0.000000 k:@0.531601:0.775508:0.539175:0.775508:0.539175:0.759147:0.531601:0.759147:0.000000 Solución:@0.096359:0.798879:0.157020:0.798879:0.157020:0.783766:0.096359:0.783766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una homotecia :@0.733044:0.502460:0.839755:0.502460:0.839755:0.488215:0.733044:0.488215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 conserva el sentido de :@0.733044:0.517548:0.887049:0.517548:0.887049:0.503303:0.733044:0.503303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las figuras. :@0.733044:0.532635:0.805429:0.532635:0.805429:0.518390:0.733044:0.518390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una homotecia de :@0.733044:0.554852:0.860662:0.554852:0.860662:0.540607:0.733044:0.540607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 razón = 1 transforma :@0.733044:0.569940:0.885874:0.569940:0.885874:0.555694:0.733044:0.555694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.773769:0.569940:0.780654:0.569940:0.780654:0.555066:0.773769:0.555066:0.000000 cada punto en sí :@0.733044:0.585027:0.847478:0.585027:0.847478:0.570782:0.733044:0.570782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mismo. Recibe el :@0.733044:0.600115:0.849455:0.600115:0.849455:0.585870:0.733044:0.585870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nombre de identidad.:@0.733044:0.615202:0.878319:0.615202:0.878319:0.600957:0.733044:0.600957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si la razón de :@0.733044:0.637419:0.824445:0.637419:0.824445:0.623174:0.733044:0.623174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 homotecia es = –1, :@0.733044:0.652507:0.874401:0.652507:0.874401:0.638261:0.733044:0.638261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.827058:0.652507:0.833944:0.652507:0.833944:0.637633:0.827058:0.637633:0.000000 se trata de una simetría :@0.733044:0.667594:0.891920:0.667594:0.891920:0.653349:0.733044:0.653349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 central.:@0.733044:0.682682:0.781626:0.682682:0.781626:0.668437:0.733044:0.668437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Sabías que?:@0.765616:0.477949:0.867484:0.477949:0.867484:0.461049:0.765616:0.461049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.124359:0.370862:0.135395:0.370862:0.135395:0.353874:0.124359:0.353874:0.000000 k:@0.111272:0.370123:0.119534:0.370123:0.119534:0.352274:0.111272:0.352274:0.000000 OP:@0.140692:0.360379:0.162826:0.360379:0.162826:0.342530:0.140692:0.342530:0.000000:0.000000 OP:@0.142884:0.381517:0.165017:0.381517:0.165017:0.363668:0.142884:0.363668:0.000000:0.000000 ':@0.165193:0.360379:0.168771:0.360379:0.168771:0.343285:0.165193:0.343285:0.000000 k:@0.228703:0.467884:0.237582:0.467884:0.237582:0.452332:0.228703:0.452332:0.000000 > 1:@0.237582:0.467884:0.263632:0.467884:0.263632:0.452306:0.237582:0.452306:0.000000:0.000000:0.000000:0.000000 0 < < 1:@0.514851:0.467884:0.575829:0.467884:0.575829:0.452306:0.514851:0.452306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.540901:0.467884:0.549779:0.467884:0.549779:0.452332:0.540901:0.452332:0.000000 –1 < < 0:@0.211498:0.587793:0.280853:0.587793:0.280853:0.572215:0.211498:0.572215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.245924:0.587793:0.254803:0.587793:0.254803:0.572240:0.245924:0.572240:0.000000 k:@0.523696:0.587793:0.532575:0.587793:0.532575:0.572240:0.523696:0.572240:0.000000 < –1:@0.532575:0.587793:0.567001:0.587793:0.567001:0.572215:0.532575:0.572215:0.000000:0.000000:0.000000:0.000000:0.000000 O:@0.169349:0.532107:0.174961:0.532107:0.174961:0.525027:0.169349:0.525027:0.000000 A:@0.214620:0.544294:0.219392:0.544294:0.219392:0.537214:0.214620:0.537214:0.000000 B:@0.239889:0.534837:0.244249:0.534837:0.244249:0.527757:0.239889:0.527757:0.000000 C:@0.228918:0.509971:0.233581:0.509971:0.233581:0.502890:0.228918:0.502890:0.000000 D:@0.211764:0.526420:0.217199:0.526420:0.217199:0.519340:0.211764:0.519340:0.000000 A’:@0.252952:0.553058:0.258892:0.553058:0.258892:0.545978:0.252952:0.545978:0.000000:0.000000 B’:@0.297199:0.535367:0.303188:0.535367:0.303188:0.528286:0.297199:0.528286:0.000000:0.000000 C’:@0.279927:0.492285:0.286219:0.492285:0.286219:0.485205:0.279927:0.485205:0.000000:0.000000 D’:@0.250819:0.511900:0.257934:0.511900:0.257934:0.504820:0.250819:0.504820:0.000000:0.000000 O:@0.429939:0.530200:0.438288:0.530200:0.438288:0.519666:0.429939:0.519666:0.000000 A:@0.557695:0.556830:0.564794:0.556830:0.564794:0.546296:0.557695:0.546296:0.000000 B:@0.630022:0.536504:0.636508:0.536504:0.636508:0.525970:0.630022:0.525970:0.000000 C:@0.598752:0.490776:0.605688:0.490776:0.605688:0.480242:0.598752:0.480242:0.000000 D:@0.555183:0.511459:0.563269:0.511459:0.563269:0.500925:0.555183:0.500925:0.000000 A’:@0.496679:0.547188:0.505515:0.547188:0.505515:0.536654:0.496679:0.536654:0.000000:0.000000 B’:@0.533699:0.537807:0.542610:0.537807:0.542610:0.527274:0.533699:0.527274:0.000000:0.000000 C’:@0.517726:0.509902:0.527087:0.509902:0.527087:0.499368:0.517726:0.499368:0.000000:0.000000 D’:@0.493917:0.521599:0.504503:0.521599:0.504503:0.511065:0.493917:0.511065:0.000000:0.000000 O:@0.215395:0.647513:0.223632:0.647513:0.223632:0.637120:0.215395:0.637120:0.000000 A:@0.297348:0.676046:0.304353:0.676046:0.304353:0.665652:0.297348:0.665652:0.000000 B:@0.349596:0.657175:0.355996:0.657175:0.355996:0.646782:0.349596:0.646782:0.000000 C:@0.327079:0.612714:0.333923:0.612714:0.333923:0.602321:0.327079:0.602321:0.000000 D:@0.295301:0.632103:0.303280:0.632103:0.303280:0.621710:0.295301:0.621710:0.000000 A’:@0.178265:0.639332:0.186984:0.639332:0.186984:0.628938:0.178265:0.628938:0.000000:0.000000 B’:@0.147376:0.650030:0.156168:0.650030:0.156168:0.639637:0.147376:0.639637:0.000000:0.000000 C’:@0.160397:0.676592:0.169633:0.676592:0.169633:0.666198:0.160397:0.666198:0.000000:0.000000 D’:@0.179178:0.658434:0.189622:0.658434:0.189622:0.648040:0.179178:0.648040:0.000000:0.000000 O:@0.508986:0.647513:0.517223:0.647513:0.517223:0.637120:0.508986:0.637120:0.000000 A:@0.590939:0.676046:0.597943:0.676046:0.597943:0.665652:0.590939:0.665652:0.000000 B:@0.643187:0.657175:0.649587:0.657175:0.649587:0.646782:0.643187:0.646782:0.000000 C:@0.620670:0.612714:0.627514:0.612714:0.627514:0.602321:0.620670:0.602321:0.000000 D:@0.588892:0.632103:0.596870:0.632103:0.596870:0.621710:0.588892:0.621710:0.000000 A’:@0.471856:0.639332:0.480574:0.639332:0.480574:0.628938:0.471856:0.628938:0.000000:0.000000 B’:@0.440966:0.650030:0.449758:0.650030:0.449758:0.639637:0.440966:0.639637:0.000000:0.000000 C’:@0.453988:0.676592:0.463224:0.676592:0.463224:0.666198:0.453988:0.666198:0.000000:0.000000 D’:@0.472769:0.658434:0.483213:0.658434:0.483213:0.648040:0.472769:0.648040:0.000000:0.000000 a) = 3:@0.216574:0.827740:0.275760:0.827740:0.275760:0.812162:0.216574:0.812162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.240832:0.827740:0.249710:0.827740:0.249710:0.812188:0.240832:0.812188:0.000000 b) = 0,5:@0.508401:0.827740:0.582279:0.827740:0.582279:0.812162:0.508401:0.812162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.533697:0.827740:0.542576:0.827740:0.542576:0.812188:0.533697:0.812188:0.000000 O:@0.147723:0.878096:0.154192:0.878096:0.154192:0.869935:0.147723:0.869935:0.000000 A:@0.183019:0.869826:0.188519:0.869826:0.188519:0.861665:0.183019:0.861665:0.000000 B:@0.166703:0.890691:0.171728:0.890691:0.171728:0.882530:0.166703:0.882530:0.000000 C:@0.199635:0.886839:0.205009:0.886839:0.205009:0.878678:0.199635:0.878678:0.000000 A’:@0.267427:0.848474:0.274273:0.848474:0.274273:0.840313:0.267427:0.840313:0.000000:0.000000 B’:@0.214925:0.919775:0.221829:0.919775:0.221829:0.911614:0.214925:0.911614:0.000000:0.000000 C’:@0.321063:0.911294:0.328315:0.911294:0.328315:0.903133:0.321063:0.903133:0.000000:0.000000 1:@0.183532:0.892646:0.188499:0.892646:0.188499:0.884427:0.183532:0.884427:0.000000 cm:@0.188499:0.892646:0.202182:0.892646:0.202182:0.884485:0.188499:0.884485:0.000000:0.000000:0.000000 3:@0.262605:0.920725:0.267572:0.920725:0.267572:0.912506:0.262605:0.912506:0.000000 cm:@0.267572:0.920725:0.281255:0.920725:0.281255:0.912564:0.267572:0.912564:0.000000:0.000000:0.000000 O:@0.458712:0.880860:0.465180:0.880860:0.465180:0.872699:0.458712:0.872699:0.000000 A:@0.566999:0.853128:0.572499:0.853128:0.572499:0.844966:0.566999:0.844966:0.000000 B:@0.520345:0.915715:0.525371:0.915715:0.525371:0.907553:0.520345:0.907553:0.000000 C:@0.611397:0.909792:0.616771:0.909792:0.616771:0.901631:0.611397:0.901631:0.000000 A’:@0.517237:0.864981:0.524083:0.864981:0.524083:0.856819:0.517237:0.856819:0.000000:0.000000 B’:@0.491751:0.901442:0.498655:0.901442:0.498655:0.893280:0.491751:0.893280:0.000000:0.000000 1:@0.562293:0.916914:0.567260:0.916914:0.567260:0.908694:0.562293:0.908694:0.000000 cm:@0.567260:0.916914:0.580943:0.916914:0.580943:0.908753:0.567260:0.908753:0.000000:0.000000:0.000000 0,5:@0.508551:0.900926:0.520491:0.900926:0.520491:0.892706:0.508551:0.892706:0.000000:0.000000:0.000000 cm:@0.520491:0.900926:0.534173:0.900926:0.534173:0.892764:0.520491:0.892764:0.000000:0.000000:0.000000 C’:@0.542103:0.894183:0.549356:0.894183:0.549356:0.886021:0.542103:0.886021:0.000000:0.000000 ©:@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