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 clica na ferramenta "polígono regular"
cria dois pontos na tela e digita o número de lados do polígono que pretendes cronstruir.
Para encontrar o centro do polígono clica na ferramenta "ponto médio ou centro"
e em seguida clica 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 tua tela. Lembra-te que a reta é definida por dois pontos e é infinita, se quiseres delimitar um comprimento cria um segmento.
Para criar um segmento
clica em dois pontos pré existentes para definir o inicio e o fim do segmento nesses pontos. Ou clica em dois pontos quaisquer da tua tela. Um segmento no teu desenho pode ser um raio, uma diagonal, um lado do polígono,...
Para criar um ângulo
ou consultar a amplitude entre dois segmentos ou retas. Esta ferramenta possui diferentes formas de interação, vamos apresentar uma delas. para isso clicarás em três pontos, o mais importante é a sequência em que escolhes os pontos. O primeiro ponto é um dos lados do ângulo, o segundo será sempre o vértice do ângulo e o terceiro ponto é o 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?
( ̄_, ̄ ) experimenta e sempre que precisares reinicies toda a tua construção clicando
Para voltar apenas ao último passo da construção podes utilizar as setas
"desfazer e refazer"