分类讨论思想是一种“分而治之”的数学思想方法,它是指在分析和研究问题的过程中,当问题出现多种情况时,需要逐一分类进行讨论,然后各个击破,最后再综合归纳,得出最终的结论.利用分类讨论思想解数学题,可以使解题不重不漏,提高解答的完整性和全面性,培养思维的深刻性、严谨性、条理性和灵活性,增强同学们全面思考、分析和解决问题的能力. The taxonomy discussion is a kind of mathematical thinking method of “divide and rule”, which means that in the process of analyzing and researching the problems, when the problems arise in different situations, we need to discuss them one by one, and then break through each and finally conclude them comprehensively , Draw the final conclusion.Using classification to discuss the idea of ​​solving mathematical problems, can make the problem-solving does not mean omission, improve the integrity and comprehensiveness of the solution, cultivate the profound thinking, rigor, reason and flexibility, enhance students We are fully capable of thinking, analyzing and solving problems.