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解题的过程是一个不断地把未知转化为已知的过程,构造法就是实现这种转化的重要思想方法。在立体几何中,常表现为根据题目的特征,精心构造一个相应的“模型”,把陌生问题转化为熟知问题,把复杂问题转化为简单问题。正方体是最特殊的四棱柱,它的六个面都是全等的正方形,线线、线面、面面之间都有垂直线或平行关系,这便提供了多姿的化繁为简的条件,以它为“模型”是最妙不过的了。
The process of solving a problem is a process of continuously transforming the unknown into a known process. The construction method is an important way of thinking to realize this transformation. In the three-dimensional geometry, it often appears that according to the characteristics of the topic, a corresponding “model” is carefully constructed, the unfamiliar problem is converted into a familiar problem, and the complex problem is converted into a simple problem. The cube is the most special quadrangular prism, and its six faces are all equal squares. There are vertical lines or parallel relationships between lines, lines, and faces. This provides a variety of complex and simple. The conditions that make it the “model” are the best.