利用最值方法求空间的几种距离

Applications of Maximum Method on Spatial Distance

对空间点到平面的距离、点到直线的距离以及两条异面直线间的距离,给出了一种思路比较直观的统一求法,通过将几种距离分别归结为——目标函数的最大值或最小值问题,利用导数的最值应用来求解.

In this paper, an uniform and intuitional method is given to get the spatial distance including the distance between the space point and the plane, the distance between the space point and the beeline, and two beelines which are not in the same plane. It can be concluded as the maximum or the minimum of an aim function and be calculated with the application of derivative.