(1)求抛物线解析式;
(2)如图2,在第一象限内抛物线上有一点P,连接PA,PC,AC,设点P的横坐标为t,△PAC的面积为S,求出S与t的函数关系式(不要求写出t的取值范围).
(3)如图3在(2)的条件下,连接PB,过点P作PH⊥x轴于点H,在x轴负半轴上取点D,使PH=BD,在PH取点M使PM=BH,连接DM交PB于点E,已知F是PB中点,在BF上有一个点G,连接FH,GH,过点B作BN⊥FH于点N.若GH=,∠BGH=∠DEB,,求点P的坐标.
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