(1)求二次函数的关系式;
(2)在抛物线上有一点A,其横坐标为﹣2,直线l过点A并绕着点A旋转,与抛物线的另一个交点是点B,点B的横坐标满足﹣2<xB<

(3)抛物线上是否存在点C使△AOC的面积与(2)中△AOB的最大面积相等.若存在,求出点C的横坐标;若不存在说明理由.


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

