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立体几何中的探索性问题,常常以某一线段上的一点在运动为背景,探索存在性问题(如垂直、平行关系,或夹角大小,或线段长度等).求解时一般要抓住数量特征或几何特征两大特征.数量特征可从点的坐标、线段长度、夹角、向量共线等方向入手,原则是变量要尽可能少,最好是用单变量解决问题;几何特征可借助平行或垂直关系,进行线段的平移,条件的等价转化等手段.
Exploring problems in stereoscopic geometry, often in a line segment in the background of the movement, to explore the existence of problems (such as vertical, parallel relationship, or angle size, or line length, etc.) Solve the general to seize the number Features or geometric features of the two characteristics of the number of features from the point coordinates, line length, angle, vector collinear and other directions, the principle is to variable as little as possible, it is best to use univariate to solve the problem; Parallel or vertical relationship, the line of translation, the conditions of the equivalent conversion and other means.