分类讨论思想在初中数学解题中的若干应用

摘 要分类讨论思想是初中数学中重要的数学思想之一。本文主要从数与式、解方程、几何和函数的四个方面，通过典型例题的浅析，阐明了分类讨论思想在初中数学解题中的若干应用。最后对如何提高初中生分类讨论思想应用水平提出若干建议，旨在帮助学生能够更好的认识和理解分类讨论思想，并将分类讨论思想运用到实际的解题当中去。关键词：分类讨论思想；初中数学；解题能力AbstractThe thought of classified discussion is one of the important mathematical thoughts in junior middle school mathematics. In this paper, from the four aspects of number and formula, solving equation, geometry and function, through the analysis of typical examples, the author expounds the application of classified discussion in junior high school mathematics problem-solving. Finally, some suggestions are put forward on how to improve the application level of the classified discussion ideas of junior high school students, in order to help students better understand and understand the classified discussion ideas, and apply the classified discussion ideas to the actual problem-solving.Key words ： Classified Discussion Thought; Junior Middle School Mathematics; Problem Solving Ability目 录1 引 言.........................................................12 分类讨论思想概述.................................................23 分类讨论思想在初中数学解题中的若干应用...........................33.1 分类讨论思想在数与式的应用......................................33.2 分类讨论思想在解方程的应用......................................43.3 分类讨论思想在几何的应用........................................63.4 分类讨论思想在函数的应用........................................84 提高初中生分类讨论思想应用能力的几点建议........................114.1 课堂中加强数学思想的渗透.......................................124.2 加强学生基础知识的学习.........................................124.3 提高意识，增加练习量........................