(1)求桥拱项部O离水面的距离.
(2)如图2,桥面上方有3根高度均为4m的支柱CG,OH,DI,过相邻两根支柱顶端的钢缆呈形状相同的抛物线,其最低点到桥面距离为1m.
①求出其中一条钢缆抛物线的函数表达式.
②为庆祝节日,在钢缆和桥拱之间竖直装饰若干条彩带,求彩带长度的最小值.



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

