Desenhar para entender conceitos matemáticos
Desenhar polígonos, seus ângulos, suas diagonais ...
Vamos brincar ヽ(✿゚▽゚)ノ e misturar desenho com matemática (¬‿¬)
Instruções gerais
Para criar um polígono clique na ferramenta "polígono regular"
crie dois pontos na tela e digite o número de lados do polígono que deseja criar.
Para encontrar o centro do polígono clique na ferramenta "ponto médio ou centro"
e em seguida clique dentro do polígono regular
Para criar uma reta
clique em dois pontos pré existentes para a reta passar por estes pontos. Ou clique em dois pontos quaisquer da sua tela. Lembre-se que a reta é definida por dois pontos e é infinita, se quiser delimitar um comprimento crie um segmento.
Para criar um segmento
clique em dois pontos pré existentes para definir o inicio e o final do segmento nesses pontos. Ou clique em dois pontos quaisquer da sua tela. Um segmento no seu desenho pode ser um raio, uma diagonal, um lado do polígono,...
Para criar um ângulo
ou consultar a amplitude entre dois segmentos ou retas. Essa ferramenta possui diferentes formas de interação, vamos apresentar uma delas. Você clicará em três pontos, o mais importante é a sequencia em que escolhe os pontos. O primeiro ponto ⋵ um dos lados do ângulo, o segundo será sempre o vértice do ângulo e o terceiro ponto ⋵ ao outro lado do ângulo. O primeiro lado e o segundo lado são escolhidos obedecendo o sentido anti-horário.
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)
Para criar um circulo, ou um texto
(respectivamente) como seria?
( ̄_, ̄ ) experimente, teste e sempre que precisar reinicie toda sua construção clicando
Para voltar apenas o último passo da construção pode utilizar as setas
"desfazer e refazer"