(1)某桥主桥拱是圆弧形(如图①中,已知跨度,拱高,则这条桥主桥拱的半径是 ;
(2)某桥的主桥拱是抛物线形(如图②,若水面宽,拱顶(抛物线顶点)距离水面,求桥拱抛物线的解析式;
(3)如图③,在(1)和(2)的条件下,某个时刻桥和桥的桥下水位均上升了,求此时两桥的水面宽度.
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