等腰三角形存在性问题的解题与思想方法研究——以一道中考数学题为例

Research on the Problem Solving and Thought Method of Isosceles Triangle Existence—Taking a High School Math Problem for Example

摘要: 等腰三角形存在性问题是中学数学教学中一类非常经典的数学问题，文章通过深入分析一道中考等腰三角形存在性问题，帮助学生找到解决此类问题的解题思路，以期让学生通过掌握一道题目的解题方法来解决一类问题，并对解题过程中所渗透的数学思想方法进行总结，使学生感悟到运用数学思想方法解题的威力。

Abstract: The existence problem of isosceles triangle is a very classical mathematical problem in middle school mathematical steaching. This paper, through in-depth analysis of the existence problem of isosceles triangle in the middle school examination, helps students find the problem-solving ideas to solve such problems, so as to enable students to solve a class of problems by mastering the prob-lem-solving methods of a topic. And the mathematical thought method permeated in the process of solving problems is summarized, so that students feel the power of using mathematical thought method to solve problems.