Exercícios do capítulo 14

1-No applet abaixo, construa um retângulo áureo com uma diagonal. Crie um ponto sobre a diagonal e, a partir dele, crie outro retângulo, conforme a figura seguinte. 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[img]data:image/png;base64,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[/img]
a) O que você pode dizer sobre o retângulo [b]AGEF[/b]? Justifique.
b) No [i]applet [/i]anterior, mostre o ponto que divide o segmento [b]AB [/b]na razão áurea. Por esse ponto, trace uma perpendicular a [b]AB[/b]. Marque o ponto de intersecção dessa perpendicular com a diagonal. O que você pode dizer sobre esse ponto? Justifique.
2-Pentagrama
O Pentagrama é o símbolo máximo da Escola Pitagórica. Para os pitagóricos, era uma figura perfeita, pois ela apresenta uma surpreendente profusão de segmentos na razão áurea. No applet seguinte, utilize apenas as ferramentas 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[/img] para construir um pentagrama como o da figura a seguir: [br][br] [img]data:image/png;base64,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[/img]
Na construção anterior, onde podemos encontrar proporções áureas?
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Information: Exercícios do capítulo 14