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为了向广大中学生读者系统地介绍张景中先生倡导的平面几何中的面积方法,编辑部约请袁安全老师撰写了《平面几何中的面积方法》,作为《竞赛之窗》栏目的专题讲座.因篇幅较长,将分三期连载,每期刊登一个专题,这三个专题分别是(一)共边定理及其应用;(二)共角定理及其应用;(三)共边及共角定理的综合应用.面积不仅是数学学科里一个概念,而且也是重要的一种解题工具.只要抓住面积,不但能使平面几何更容易学,而且会令几何变得更有趣.本文笔者主要介绍:三角形共边比例定理(以下简称为共边定理[1]),它会给我们带来意想不到的理解题效果.
In order to systematically introduce the area method of plane geometry advocated by Mr. Zhang Jingzhong to the majority of middle school students, the editorial department invited Mr. Yuan Anquan to write the “Area Method in Plane Geometry” as a lecture on “The Window of the Contest” Long, it will be published in three installments, each issue a topic, these three topics are (a) co-side theorem and its application; (two) the co-argument and its application; (three) co-edge and the argument Comprehensive application. Area is not only a concept in mathematics, but also an important tool for solving problems .As long as the area is seized, it not only makes the plane geometry easier to learn but also makes the geometry more interesting. The author mainly introduces: Triangular co-edge ratio theorem (hereinafter referred to as co-edge theorem [1]), it will bring us unexpected results understanding problem.