(1)求抛物线的解析式;
(2)点P在抛物线的对称轴上,点Q在轴上,若以点P、Q、B、C为顶点,BC为边的四边形为平行四边形,请直接写出点P、Q的坐标;
(3)已知点M是轴上的动点,过点M作的垂线交抛物线于点G,是否存在这样的点M,使得以点A、M、G为顶点的三角形与△BCD相似,若存在,请求出点M的坐标;若不存在,请说明理由.
同类型试题
y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2
y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2