(2)若过O点的直线OD交长方形的边于点D,且直线OD把长方形的周长分为2:3两部分,求点D的坐标;
(3)若点P从点C出发,以2单位/秒的速度向O点运动(不超过O点),同时点Q从O点出发以1单位/秒的速度向A点运动(不超过A点),试探究四边形BQOP的面积在运动中是否会发生变化?若不变,求其值;若变化,求变化范围.
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