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