问题情境:
在矩形中,对角线、交于点O,交于点E,连接,F是的中点.
探究发现:
(1)如图1,直接写出和的数量关系:______;
(2)探究拓展:勤奋小组的同学们在射线上任取一点P,将射线绕点O逆时针旋转得射线,使,与射线交与点Q.在如图2中,猜想并证明线段与线段之间的数量关系.
(3)探究拓广:在(2)的条件下,若,,当时,直接写出的长度.
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