一次换面法求交叉两直线的最短距离

The Method of Exchanging Plane for Once to Determine the Shortest Distance between Two Intersecting Lines

交叉二直线间的最短距离传统解法颇多，但一般都要采取两次换面。本文介绍了仅用一个一般位置平面作为新投影面，再通过重合法求解最短距离的新方法。文中对该方法的作图原理及过程作了明确的叙述，与传统方法相比不仅作图占地较小，更主要的是扩展了对某些问题空间思维的领域。

There are several traditional methods for solving the shortest distance between two intersecting lines,but they must adopt the method of exchanging plane for twice. This paper introduces using only one general position plane as a new projection plane,and use the new method of coincidence to determine the shortest distance. It describes the principle and procedure of drawing distinctly not only occupies a small space, but also extends the fields of spacial thought of some problems.