分类讨论思想是中学数学解题过程中一种重要的思想方法,它始终贯穿于中学的数学学习过程中;在利用分类讨论思想解决几何图形问题时,几何图形基本性质的掌握是解决问题的基础,而找准分类标准则是解题的关键.笔者结合2013年的中考题,以三角形为背景,进而阐述分类讨论思想在解决几何图形问题时的应用.一、以等腰三角形为背景:以等腰三角形为背景的分类讨论思想是比较常见 Classified discussion is an important thinking method in middle school mathematics problem solving process. It always runs through middle school mathematics learning process. When using classification discussion to solve geometric problems, the basic character of geometry is the basis of solving the problem , And to identify the classification criteria is the key to solving the problem.The author combines the 2013 senior high school entrance examination questions to the background of the triangle, and then elaborates the classification discussion in the application of the geometry problem solving.First, the isosceles triangle as the background: Isosceles triangle as the background of the classification discussion is more common