(1)直接写出两点的坐标:_______;
(2)如图2,点在轴上运动,过点作直线轴,在点运动的过程中,若上恰有一点,使得,直接写出的值:_______;
(3)如图3,将抛物线及直线整体向右平移一个单位长度,对应点分别为,平移后,新抛物线的顶点为,直线交x轴于轴于,点是抛物线上之间的一个动点,交于交轴于,求证:为定值.
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