Question

已知定点M(-3,4),动点N在圆x^2+y^2=4上远动,O为坐标原点,以OM,ON为边作平行四边形MONP,求点P的

Answer 1

向量MP=向量ON

N(x1,y1)

P(x,y)

x+3=x1;y-4=y1则

(x+3)^2+(y-4)^2=4

当N在直线OM上时x+3=±6/5（舍去）,则x≠-9/5且x≠-21/5

综上,P的轨迹方程为

(x+3)^2+(y-4)^2=4,x≠-9/5且x≠-21/5