(1)求二次函数的解析式;
(2)如二次函数的图象与y轴交于点G,抛物线上是否存在点Q,使得∠QAB=∠ABG,若存在求出Q点坐标,若不存在请说明理由;
(3)经过点B并且与直线AC平行的直线BD与二次函数图象的另一交点为D,DE⊥AC,垂足为E,DFy轴交直线AC于点F,点M是线段BC之间一动点,FN⊥FM交直线BD于点N,延长MF与线段DE的延长线交于点H,点P为△NFH的外心,求点M从点B运动到点C的过程中,P点经过的路线长.
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