如图,直线分别交轴,轴于点,过点A作直线分别交轴,轴于点,.
(1)求直线的解析式.
(2)在轴左侧作直线轴,分别交直线,于点.当时,过点作直线轴,交轴于点.能否在直线上找一点,使的值最小,求出点的坐标.
(3)为直线上一点,在(2)的条件下,轴上是否存在点使得以为顶点的四边形为平行四边形?若存在,请直接写出点的坐标;若不存在,请说明理由.
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