摘 要对称是中学数学学习中重要的一个模块，是一种重要的思想方法。在解题过程中对称性是一个重要的突破口，利用对称性可以简化题目，让题目体系变得清晰，就能够化繁为简。本文是在前人研究的基础上，对对称性在中学数学解题中的应用做了较为系统的概括和总结。首先，概述了对称性的概念及其三个方面的意义；然后，归纳了对称性在中学数学中的表现形式：图形的对称性、公式的对称性、定理的对称性和解题方法的对称性；最后，分别论述对称性在初中数学和高中数学解题中的应用，按照题型做了分类总结，并举例分析说明。关键词：对称性；中学数学；解题策略；解题技巧1AbstractSymmetry is an important module in middle school mathematics learning and an important thought method. Symmetry is an important breakthrough in the process of solving problems. Using symmetry can simplify the problem, make the problem system clear, and can be simplified. On the basis of previous studies, this paper makes a systematic summary and summary of the application of symmetry in solving mathematical problems in middle schools. First of all, the concept of symmetry and its significance in three aspects are summarized; then, the expression of symmetry in middle school mathematics is summarized: symmetry of graphics, symmetry of formula, symmetry of theorem and symmetry of solving method; finally, the paper discusses separately Symmetry in junior high school mathematics and the application of high school mathematics problem solving, according to the type of classification and summary, and give examples to illustrate.Key words: Symmetry; Middle School Mathematics; Problem Solving Strategies; Problem Solving Skills2目 录1 引 言.........................................................11.1 选题背景及意义..................................................11.2 文献综述........................................................12 对称性概述.......................................................
VIP
