(1)求抛物线的解析式;
(2)将抛物线向下平移h个单位长度,使平移后所得的抛物线的顶点落在△OBC内部(包含△OBC边界),求h的取值范围;
(3)设点P是抛物线L上任一点,点Q在直线上,△PBQ能否成为以点P为直角顶点的等腰直角三角形?若能,写出符合条件的点P的坐标,若不能,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