(1)如图1,若,点在边上运动,
①当点运动到点时,正方形的“伴随点”的坐标为___________;
②当点恰好落在边时,求此时点的坐标;
(2)如图2,线段的端点坐标分别为、,若线段上存在正方形的两个“伴随点”,求的取值范围;
(3)若正方形的所有“伴随点”中有6个整点(横、纵坐标都是整数),直接写出的取值范围.
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