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几何证题,虽然千变万化没有定法,但是经过千百年来中外数学家的研究,总结这些经验,也可使我们找出某些门径。本文系就题断性质,分门别类,详示例举,并尽可能多示各种不同证法,以启发思路。证法中或示直接法,或示间接法,在直接法中或用综合法,或用分析法,或分析综合法混用,体式不拘,以期通晓各种证法体式。
Although there are no fixed laws for geometrical proofs, but after many years of research by Chinese and foreign mathematicians, summing up these experiences can also enable us to find certain ways. This article is based on the nature of the topic, divided into categories, detailed examples cited, and as many as possible to show a variety of different methods of evidence to inspire ideas. The prosecution law either expresses the direct method, or shows the indirect method, uses the comprehensive method in the direct method, or uses the analytic method, or analyzes the comprehensive method to mix and use, the style is informal, in order to be familiar with all kinds of proof styles.