P(-7,1)关于直线2X-Y-5=0的对称点坐标为多少?

问题描述:

P(-7,1)关于直线2X-Y-5=0的对称点坐标为多少?

设对称点坐标为(x,y)
则直线2X-Y-5=0垂直平分(x,y)与P的连线

2(X-7)/2-(Y+1)/2-5=0
(Y-1)/(X+7)=-1/2
解得X=9,Y=-7