(1)求抛物线的解析式;
(2)点P是线段AO上一点,过点P作PQ⊥x轴交抛物线于点Q,交线段AD于点E,点F是直线AD上一点,连接FQ,FQ=EQ,当△FEQ的周长最大时,求点Q的坐标和△FEQ周长的最大值;
(3)如图2,已知H(,0).将抛物线上下平移,设平移后的抛物线在对称轴右侧部分与直线AD交于点N,连接HN,当△AHN是等腰三角形时,求抛物线的平移距离d.
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