摘    要:选取浙江省杭州市、湖州市、嘉兴市、绍兴市以及温州市五个地区2013年至2017年中考数学真题为研究对象，从题型、分值、知识载体和引起分类讨论的原因等角度分析分类讨论思想在浙江省中考数学中的体现状况，并就典型例题对分类讨论思想在中考中的应用做进一步说明。研究结果表明，分类讨论在各种题型中均有所体现，且稳定地出现在解答题中，所占的分值较高，并倾向于以函数、圆、三角形、四边形等知识点为载体进行考察。同时，浙江省中考数学中引起分类讨论的原因主要有三种：字母的不同取值、结论的多种可能性和图形的形状变化。据此，提出教师要全面了解分类讨论思想，在教学过程中要循序渐进、反复渗透、抓住重点，学生在学习分类讨论思想时要勤于总结、多加练习的建议。

关键词：分类讨论思想； 浙江省中考； 分类原因； 数学解题

Selecting the high school entrance math examination items of Zhejiang Hangzhou, Huzhou, Jiaxing, Shaoxing and Wenzhou from 2013 to 2017 as the object of study, the research analyzed the application of classification discussion in these test papers from the perspective of question types, scores, knowledge carriers and causes of classification, and made further explanation by discussing typical problems. The result shows that the classification discussion appears in all types of items, especially in answer questions, and accounts high scores. What’s more, it tends to take knowledge points such as function, circle triangle and quadrilateral as a carrier. Also, there are three main causes for the discussion, including the different values of letters, the multiple possibilities of conclusions and the shape changes of graphs. Accordingly, the following suggestions are put forward: the teachers should fully understand the ideas of classification discussion, teach it step by step, get the point and infiltrate it repeatedly; the students should make summary diligently and do more exercise.

    Keyword: classification discussion; Zhejiang Senior high school entrance examination; cause of classification; mathematical problem-solving.

目    录

1 绪论 1

1.1 研究背景 1

1.2 研究问题 1

1.3 研究目的与意义 1

2 文献综述 1

2.1 关于分类讨论思想的研究 1

2.1.1 分类讨论思想的概念界定与有关问题 1

2.1.2 古今中外经典研究举例 2

2.2 关于分类讨论思想的应用的研究 2

2.2.1 分类讨论思想在解题中的应用研究 2

2.2.2 分类讨论思想在教学中的应用研究 3

2.3 启示 3

3 研究设计 4

3.1 研究内容 4

3.2 研究过程与方法 分类讨论思想在浙江省中考数学解题中的应用研究:http://www.chuibin.com/shuxue/lunwen_205885.html