79:@0.942817:0.964671:0.965053:0.964671:0.965053:0.945025:0.942817:0.945025:0.000000:0.000000 Competencia digital:@0.142133:0.095018:0.412675:0.095018:0.412675:0.066978:0.142133:0.066978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Uso de GeoGebra :@0.096359:0.168696:0.295224:0.168696:0.295224:0.145329:0.096359:0.145329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 GeoGebra es un :@0.096359:0.196633:0.256804:0.196633:0.256804:0.176690:0.096359:0.176690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 software:@0.259125:0.196633:0.336214:0.196633:0.336214:0.177042:0.259125:0.177042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 interactivo que nos permite realizar muchas tareas de tipo :@0.336214:0.196633:0.908802:0.196633:0.908802:0.176690:0.336214:0.176690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 geométrico. Esta vez lo usaremos para graficar ángulos a partir de tres puntos y a partir :@0.096359:0.217756:0.908872:0.217756:0.908872:0.197812:0.096359:0.197812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de su medida. :@0.096359:0.238878:0.232834:0.238878:0.232834:0.218935:0.096359:0.218935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Descarga:@0.232834:0.238878:0.326692:0.238878:0.326692:0.217368:0.232834:0.217368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la aplicación del enlace: :@0.326692:0.238878:0.557567:0.238878:0.557567:0.218935:0.326692:0.218935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 https://geogebra.org:@0.557567:0.238878:0.752624:0.238878:0.752624:0.217703:0.557567:0.217703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.104110:0.285156:0.125431:0.285156:0.125431:0.265182:0.104110:0.265182:0.000000:0.000000:0.000000 Al abrir la aplicación, te aparecerá :@0.122535:0.285156:0.416753:0.285156:0.416753:0.266637:0.122535:0.266637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la siguiente pantalla::@0.122535:0.304770:0.299719:0.304770:0.299719:0.286251:0.122535:0.286251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.104110:0.442835:0.127957:0.442835:0.127957:0.424316:0.104110:0.424316:0.000000:0.000000:0.000000:0.000000:0.000000 2. Da:@0.507751:0.285156:0.552113:0.285156:0.552113:0.265182:0.507751:0.265182:0.000000:0.000000:0.000000:0.000000:0.000000 clic en x para cerrar :@0.552113:0.285156:0.728710:0.285156:0.728710:0.266637:0.552113:0.266637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Vista Algebraica:@0.728710:0.285156:0.860966:0.285156:0.860966:0.266964:0.728710:0.266964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.860966:0.285156:0.869525:0.285156:0.869525:0.266637:0.860966:0.266637:0.000000:0.000000 de manera que te aparezca la siguiente :@0.526175:0.304770:0.870613:0.304770:0.870613:0.286251:0.526175:0.286251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pantalla::@0.526175:0.324384:0.599284:0.324384:0.599284:0.305865:0.526175:0.305865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.507751:0.445238:0.531598:0.445238:0.531598:0.426719:0.507751:0.426719:0.000000:0.000000:0.000000:0.000000:0.000000 3. Selecciona:@0.104110:0.499326:0.222779:0.499326:0.222779:0.479352:0.104110:0.479352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el ícono :@0.222779:0.499326:0.301376:0.499326:0.301376:0.480807:0.222779:0.480807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.389229:0.499326:0.393999:0.499326:0.393999:0.480807:0.389229:0.480807:0.000000 para desaparecer los ejes. :@0.104109:0.538554:0.347391:0.538554:0.347391:0.520035:0.104109:0.520035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.104109:0.582047:0.108879:0.582047:0.108879:0.563529:0.104109:0.563529:0.000000 Escoge:@0.122535:0.582047:0.188479:0.582047:0.188479:0.562074:0.122535:0.562074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el ícono :@0.188479:0.582047:0.267076:0.582047:0.267076:0.563529:0.188479:0.563529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.421572:0.582055:0.426341:0.582055:0.426341:0.563536:0.421572:0.563536:0.000000 y :@0.104111:0.621283:0.136888:0.621283:0.136888:0.602764:0.104111:0.602764:0.000000:0.000000:0.000000:0.000000 arrastra:@0.136888:0.621283:0.209670:0.621283:0.209670:0.601309:0.136888:0.601309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el :@0.209670:0.621283:0.234389:0.621283:0.234389:0.602764:0.209670:0.602764:0.000000:0.000000:0.000000:0.000000 mouse:@0.234389:0.621283:0.290337:0.621283:0.290337:0.603091:0.234389:0.603091:0.000000:0.000000:0.000000:0.000000:0.000000 de manera que fijes :@0.290337:0.621283:0.475451:0.621283:0.475451:0.602764:0.290337:0.602764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tres puntos.:@0.122536:0.640897:0.224020:0.640897:0.224020:0.622378:0.122536:0.622378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.104112:0.743020:0.127959:0.743020:0.127959:0.724501:0.104112:0.724501:0.000000:0.000000:0.000000:0.000000:0.000000 El :@0.314902:0.743025:0.348746:0.743025:0.348746:0.724506:0.314902:0.724506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 software:@0.348746:0.743025:0.420328:0.743025:0.420328:0.724833:0.348746:0.724833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 te da la:@0.420328:0.743025:0.488036:0.743025:0.488036:0.724506:0.420328:0.724506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.104112:0.762639:0.113651:0.762639:0.113651:0.744120:0.104112:0.744120:0.000000:0.000000 :@0.164420:0.762639:0.169190:0.762639:0.169190:0.744120:0.164420:0.744120:0.000000 :@0.224730:0.762639:0.229500:0.762639:0.229500:0.744120:0.224730:0.744120:0.000000 medida del ángulo.:@0.285045:0.762639:0.491937:0.762639:0.491937:0.744120:0.285045:0.744120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. :@0.507769:0.471764:0.529090:0.471764:0.529090:0.451791:0.507769:0.451791:0.000000:0.000000:0.000000 Finalmente, :@0.526194:0.471764:0.631902:0.471764:0.631902:0.453246:0.526194:0.453246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 utiliza:@0.631902:0.471764:0.689549:0.471764:0.689549:0.451791:0.631902:0.451791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el ícono:@0.689549:0.471764:0.763377:0.471764:0.763377:0.453246:0.689549:0.453246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.507769:0.598895:0.531616:0.598895:0.531616:0.580376:0.507769:0.580376:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.656820:0.598889:0.666359:0.598889:0.666359:0.580370:0.656820:0.580370:0.000000:0.000000 y :@0.526174:0.618503:0.540525:0.618503:0.540525:0.599984:0.526174:0.599984:0.000000:0.000000 selecciona:@0.540525:0.618503:0.638416:0.618503:0.638416:0.598529:0.540525:0.598529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la herramienta :@0.638416:0.618503:0.773590:0.618503:0.773590:0.599984:0.638416:0.599984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 segmento:@0.773590:0.618503:0.856282:0.618503:0.856282:0.600311:0.773590:0.600311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.856282:0.618503:0.861051:0.618503:0.861051:0.599984:0.856282:0.599984:0.000000 para que dibujes los lados del ángulo.:@0.526174:0.638117:0.852251:0.638117:0.852251:0.619598:0.526174:0.619598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.507749:0.747219:0.531596:0.747219:0.531596:0.728700:0.507749:0.728700:0.000000:0.000000:0.000000:0.000000:0.000000 5. :@0.104110:0.789153:0.125431:0.789153:0.125431:0.769179:0.104110:0.769179:0.000000:0.000000:0.000000 Para graficar ángulos a partir de su medida :@0.122535:0.789153:0.496136:0.789153:0.496136:0.770634:0.122535:0.770634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en el ícono de ángulos :@0.122535:0.808766:0.324614:0.808766:0.324614:0.790248:0.122535:0.790248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 escoge:@0.324614:0.808766:0.390514:0.808766:0.390514:0.788793:0.324614:0.788793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la opción:@0.390514:0.808766:0.475689:0.808766:0.475689:0.790248:0.390514:0.790248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.104110:0.897519:0.127957:0.897519:0.127957:0.879000:0.104110:0.879000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.335298:0.897518:0.340068:0.897518:0.340068:0.878999:0.335298:0.878999:0.000000 y :@0.104101:0.924258:0.136878:0.924258:0.136878:0.905739:0.104101:0.905739:0.000000:0.000000:0.000000:0.000000 arrastra:@0.136878:0.924258:0.209660:0.924258:0.209660:0.904284:0.136878:0.904284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el :@0.209660:0.924258:0.234379:0.924258:0.234379:0.905739:0.209660:0.905739:0.000000:0.000000:0.000000:0.000000 mouse:@0.234379:0.924258:0.290327:0.924258:0.290327:0.906066:0.234379:0.906066:0.000000:0.000000:0.000000:0.000000:0.000000 hasta fijar dos puntos.:@0.290327:0.924258:0.483888:0.924258:0.483888:0.905739:0.290327:0.905739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6. :@0.507738:0.789151:0.529058:0.789151:0.529058:0.769178:0.507738:0.769177:0.000000:0.000000:0.000000 Aparecerá un recuadro para ingresar la :@0.526162:0.789151:0.865332:0.789151:0.865332:0.770632:0.526162:0.770632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 medida del ángulo. :@0.526162:0.808765:0.698599:0.808765:0.698599:0.790246:0.526162:0.790246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.507738:0.865613:0.531585:0.865613:0.531585:0.847094:0.507738:0.847094:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.672437:0.865618:0.681976:0.865618:0.681976:0.847099:0.672437:0.847099:0.000000:0.000000 :@0.507751:0.885232:0.512520:0.885232:0.512520:0.866713:0.507751:0.866713:0.000000 Digita:@0.526175:0.885232:0.583365:0.885232:0.583365:0.865258:0.526175:0.865258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la medida. Verás que se dibuja el :@0.583365:0.885232:0.878194:0.885232:0.878194:0.866713:0.583365:0.866713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ángulo. Con la opción :@0.526175:0.904846:0.721000:0.904846:0.721000:0.886327:0.526175:0.886327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Segmento:@0.721000:0.904846:0.805956:0.904846:0.805956:0.886654:0.721000:0.886654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dibuja :@0.805956:0.904846:0.874797:0.904846:0.874797:0.886327:0.805956:0.886327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los lados.:@0.526175:0.924459:0.604879:0.924459:0.604879:0.905941:0.526175:0.905941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@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