LA RECTA DE EULER DE UN TRIÁNGULO

Utilizamos "Casillas de Control" para que aparezcan los distintos tipos de rectas notables y sus propiedades.
Esta actividad nos permitirá conocer la recta de Euler de un triángulo y la herramienta "Casilla de control" [img]data:image/png;base64,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[/img].[br]Al final de esta hoja encontrarás los pasos que debes seguir con los alumnos.
SELECCIONA LAS DISTINTAS CASILLAS DE CONTROL:
Crea las "Casillas de control" y completa elementos relacionados con las rectas notables (construcción paso a paso).
1º.- Abre el archivo "RECTAS NOTABLES".[br]2º.- Selecciona el icono [img]data:image/png;base64,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[/img] , ponle de rótulo "MEDIANAS" y pulsa "Aplicar".[br][list][*]2ºA.- Sobre la casilla de control haz "Clic con el Botón Derecho" y selecciona la opción "Renombra". Ponle de nombre "medianas".[/*][/list][list][*]2ºB.- En la ventana algebraica selecciona las tres medianas, haz "Clic con el Botón Derecho" y selecciona la opción "Propiedades". Selecciona la pestaña "Avanzado" y escribe como condición para mostrar el objeto el nombre de la casilla de control que queremos que muestre las rectas, en este caso, "medianas".[br][/*][/list][list][*]2ºC.- Comprueba que al seleccionar la casilla de control "medianas" aparecen o desaparecen las medianas y el baricentro. [/*][/list][br]3º.- Selecciona el icono [img]data:image/png;base64,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[/img] , ponle de rótulo "MEDIATRICES" y pulsa "Aplicar".[br][list][*]3ºA.- Sobre la casilla de control haz "Clic con el Botón Derecho" y selecciona la opción "Renombra". Ponle de nombre "mediatrices".[/*][/list][list][*]3ºB.- En la ventana algebraica selecciona las tres mediatrices, haz "Clic con el Botón Derecho" y selecciona la opción "Propiedades". Selecciona la pestaña "Avanzado" y escribe como condición para mostrar el objeto el nombre de la casilla de control que queremos que muestre las rectas, en este caso, "mediatrices".[br][/*][/list][list][*]3ºC.- Comprueba que al seleccionar la casilla de control "mediatrices" aparecen o desaparecen las mediatrices y el circuncentro. [br][/*][/list][br]4º.- Crea la casilla de control "alturas" y modifica las propiedades de las alturas para que se vean cuando la casilla de control esté seleccionada.[br]5º.- Crea la casilla de control "bisectrices" y modifica las propiedades de las bisectrices para que se vean cuando la casilla de control esté seleccionada.[br][br]6º.- Crea una casilla de control de rótulo "PUNTOS NOTABLES" y de nombre "euler".[br]Queremos que el baricentro se muestre cuando esté seleccionada la casilla de control "medianas" o "euler". [br][img]data:image/png;base64,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[/img][br]En geogebra la conjunción "o" se escribe [math]\vee[/math]. Así pues, en la condición para mostrar el baricentro escribiremos "medianas [math]\vee[/math] euler".[br]Para poder escribir ese símbolo tenemos que desplegar el menú de símbolos que aparece al pulsar sobre la letra alfa [math]\alpha[/math] que aparece al final de la casilla de escritura cuando ponemos el cursor sobre ella.[br][br]7º.- Análogamente para el circuncentro escribiremos "mediatrices [math]\vee[/math] euler".[br]8º.- Análogamente para el ortocentro escribiremos "alturas [math]\vee[/math] euler"[br]9º.- Análogamente para el incentro escribiremos "bisectrices [math]\vee[/math] euler"[br][br]10º.- Guardar el archivo con el nombre "RECTA DE EULER".[br][br][br]
PREGUNTA SOBRE EL APPLET
El incentro se encuenctra en la recta de Euler cuando el triángulo es..............
Cerrar

Información: LA RECTA DE EULER DE UN TRIÁNGULO