点到平面距离公式的一种新证法

A New Method of Proof on the Distance Formula from the Point to the Plane

该文根据球面上一点切平面的方程和平移变换,对空间任一点P(x0,y0,z0),分P点为坐标原点和P点不是坐标原点两种情形,给出了到平面π:Ax+By+Cz+D=0的距离公式d= 的一种新证法。

In this paper , a new method of proof of distance formula d =｜Ax0＋By0＋Cz0＋D｜/√A^2＋B^2＋C^2 is given from a point P（x0,y0,z0） in space to the plane π：Ax ＋ By ＋ Cz ＋ D =0 according to the cute plane on spherical formulation and parallel change.