(1)的顶点在轴的正半轴上,顶点在轴右侧的抛物线上.
①如图(1),若点的坐标是,点的横坐标是,直接写出点,的坐标;
②如图(2),若点在抛物线上,且的面积是12,求点的坐标;
(2)如图(3),是原点关于抛物线顶点的对称点,不平行轴的直线分别交线段,(不含端点)于,两点,若直线与抛物线只有一个公共点,求证的值是定值.
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