Question

已知M(0,根号3)N(0,负根号3).G(x,y)直线MG与NG的斜率之积等于-3/4.⑴求点G的轨迹方程.

Answer 1

MG斜率K1 = (y-根号3)/x,NG斜率K2 = (y+根号3)/x

则,(y^2 - 3) / x^2 = -3/4

化简下,x^2/4 + y^2/3 = 1,是个椭圆的标准方程