(1)求抛物线的解析式;
(2)求线段的最大值,并求出此时点D的坐标;
(3)如图2,将抛物线沿y轴翻折得到抛物线,抛物线的顶点为F,对称轴与x轴交于点G,过点的直线(直线除外)与抛物线交于J,I两点,直线分别交x轴于点M,N. 试探究是否为定值,若是,求出该定值:若不是,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