Retas Paralelas aos Eixos Coordenadas
Exercício 1
Na parte esquerda da apliqueta do Geogebra encontram-se representadas os pontos [math]A[/math], [math]B[/math] e [math]C[/math].[br]Os pontos [math]A[/math] e [math]B[/math] são fixos. O ponto [math]C[/math] pode ser deslocado.[br][br]Encontre a posição do ponto [math]C[/math] para que as equações das retas definidas pelos pontos [math]A[/math] e [math]C[/math] , reta [math]r[/math], e pelos pontos [math]B[/math] e [math]C[/math], reta [math]s[/math], sejam as que se encontram do lado direito da apliqueta do Geogebra.[br][br]Desloque o ponto [math]C[/math] para a posição que considerar correta e de seguida prima o botão "[b]Verificar Resposta[/b]". Será de imediato informado se a sua escolha está ou não correta. Caso a resposta esteja errada poderá repetir o procedimento até encontrar a localização correta do ponto [math]C[/math].[br][br]A qualquer momento pode pressionar o botão "[b]Gerar novas retas paralelas aos eixos coordenados[/b]" e será exibida uma nova configuração do exercício.[br][b]Repita este exercício[/b] até sentir-se confiante com a representação de retas horizontais e verticais.
[b]Copia para o caderno os seguintes conceitos:[/b]
Num referencial o.m. as retas verticais (paralelas ao eixo Oy) têm de equação x = a. O eixo Oy tem de equação x = 0.
Num referencial o.m. as retas horizontais (paralelas ao eixo Ox) têm de equação y = b. O eixo Ox tem de equação y = 0.
[b]Responde no geogebra às seguintes questões.[/b]
QUESTÃO 1
Qual é a equação da reta vertical que contém o ponto de (-5, -2)?
QUESTÃO 2
Qual é a equação da reta horizontal que contém o ponto de (-5, -2)?
QUESTÃO 3
Indica a equação de cada uma das retas a, b, c, d da figura:[br] [img]data:image/png;base64,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[/img]