(1)求k的值;
(2)如图2,点P在双曲线上,点Q在y轴上,若以点A、B、P、Q为顶点的四边形是平行四边形,试求满足要求的所有点P、Q的坐标;
(3)如图3,以线段为对角线作正方形,点T是边上一动点,M是的中点,,交于N,当T在上运动时,的值是否发生改变?若改变,求出其变化范围;若不改变,请求出其值,并给出你的证明.
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