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数学问题中的条件是分析题意、解决问题的依据。在解题时,不仅要善于挖掘题中的隐含条件,防止解题时出现错误,而且要善于利用隐含条件,简化解题过程。读了《数学教师》1997.1期陈梓人老师的《挖掘隐含关系,开辟解题捷径》一文后,很受启发,作为续篇,下面拟通过一些例题进一步谈谈如何利用隐含关系解竞赛题。
The conditions in mathematics problems are the basis for analyzing the meaning of questions and solving problems. When solving a problem, not only must be good at mining implicit conditions in the problem, to prevent mistakes when solving problems, but also to be good at using implicit conditions to simplify the problem-solving process. After reading the article “Mathematics Teacher” in the 1997.1 period, “The Excavation of Implicit Relationships and Opening up Shortcuts for Problem Solving” by the teacher Chen Yuren, he was inspired. As a sequel, the following is intended to further discuss how to use implicit relations to solve competition problems through some examples.