(1)若点(﹣,0)也在该抛物线上,求a,b满足的关系式;
(2)若该抛物线上任意不同两点M(x1,y1),N(x2,y2)都满足:当x1<x2<0时,(x1﹣x2)(y1﹣y2)>0;当0<x1<x2时,(x1﹣x2)(y1﹣y2)<0.以原点O为心,OA为半径的圆与拋物线的另两个交点为B,C,且△ABC有一个内角为60°.
①求抛物线的解析式;
②若点P与点O关于点A对称,且O,M,N三点共线,求证:PA平分∠MPN.
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