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在涉及点或曲线关于直线对称的问题,一般运用中垂线的性质列出方程联立求解.但如果直接利用下述对称点坐标之间的关系,则可以简化求解过程,迅速得出结论.设曲线 c:F(x,y)=0关于直线1:y=kx+m(k≠0)的对称曲线为c′,点 A(x,y)∈c 关于1的对称点为 A′
In the point concerning the symmetry of the point or curve with respect to the line, the simultaneous solution of the equation is generally used to describe the properties of the vertical line. However, if the relationship between the following symmetrical point coordinates is directly used, the solution process can be simplified and the conclusion can be drawn quickly. Let the curve c:F(x,y)=0 be a symmetric curve for the line 1:y=kx+m(k≠0) as c′, and the point A(x,y)∈c for the symmetry point of 1 is A′