(1)直接写出∠ABE、∠CBD的度数,并求折痕BD所在直线的函数解析式;
(2)过F点作FG⊥x轴,垂足为G,FG的中点为H,若抛物线经过B、H、D三点,求抛物线的函数解析式;
(3)若点P是矩形内部的点,且点P在(2)中的抛物线上运动(不含B、D点),过点P作PN⊥BC分别交BC和BD于点N、M,设h=PM-MN,试求出h与P点横坐标x的函数解析式,并画出该函数的简图,分别写出使PM<NM、PM=MN、PM>MN成立的x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