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添作辅助线是平几证题中一项极其重要的技能和技巧。通过添作辅助线,无非是想构造出一个新图形,在这新图形中,集中了题目的已知条件,并有意识地设置了从题设到题断的过渡桥梁,使原命题易于获证。一般说来,针对某一特定几何证明题的图形特征和设断关系,它虽有常规添作辅助线的一些方法(即常规思考途径),但毕竟由于具体添作时方法变化甚多,所以并无定法。学生只有在平素的几何证题中或通过一题多证,仔细体会,认真探讨,摸索规律,逐步掌握,形成技巧。
Adding an auxiliary line is an extremely important skill and skill in the Pingzheng certification. By adding an auxiliary line, it is nothing more than to construct a new figure. In this new figure, the known conditions of the title are concentrated, and a transitional bridge from the title set to the title block is consciously set up so that the original proposition can be easily obtained. . In general, although there are some methods (ie, the conventional way of thinking) that routinely add auxiliary lines for the graphic features and set relations of a particular geometrical proof item, after all, because of the many changes in the method, the specific methods used to add the helpline There is no set method. Students only have to pass the evidence in a regular geometrical test or pass a multi-license, carefully understand, carefully explore, explore laws, and gradually master and form techniques.