转化思想在中学学解题中的应用111.doc

转化思想在中学数学解题中的应用 摘要 数学学习，不仅要熟练掌握基础知识，更要重视思想的学习．数学思想方法是数学的精髓，也是将理论知识转化为实践技能的桥梁.在众多数学思想方法中，转化思想是我们解决问题经常采用的一种方法，它也是数学中最基本最重要的思想方法之一.本文将就转化思想的概念、分类、研究价值以及应用转化思想解题时应该遵循的基本原则作简单的阐述，并通过对中学数学中常见的数学题型的研究，初步分析该思想在解中学代数问题与几何问题中的应用，以期引起同行的共识，注意在日常教学中加强对学生数学思想的“渗透. 在解决数学问题时，根据问题的实际性与联系性，科学的设计解决问题的思路，采取得体的数学思想方法适时疏导，用恰当的语言对所学知识进行概括和总结，以知识讲方法，以方法取知识，提高学生学习数学的积极性. 关键词：中学数学转化思想数学问题 ransforming thinking in mathematics problem solving of middle school  Abstract ：Mathematics learning, not only to master the basic knowledge, but also to pay attention to athematical thinking learning. Mathematical way of thinking is the essence of mathematics and it is theoretical knowledge into practical skills of the bridge. Among the many mathematical way of thinking, the transformation of thought is often used to solve the problem we have a method, it is also the most fundamental and important mathematical ideas methods. This paper will into the concept of thinking, classification, research value and application into thinking should be followed in solving a simple exposition of the basic principles and common middle school mathematics through the mathematical study Questions, preliminary analysis of the thinking in solving high school algebra problems and geometric problems in the application in order to raise peer consensus, attention in daily teaching to the students of mathematical thinking of the infiltration. in solving mathematical problems, according to the problem of the practical and link, science design ideas to solve the problem, the mathematical way of thinking to take appropriate, timely counseling and appropriate language for the knowledge to generalize and summarize the knowledge about ways to approach access knowledge and to improve mathematics learning initiative.  Keywords: middle school mathematics；transforming thinking；mathematical problem 】目录 1．引言 1 2．文献综述 1 2.1 国内外研究现状 1 2.2 国内外研究现状的评价 1 2.3 提出问题 2 3．转化思想的概述 2 3.1转化思想的概念 2 3.2转化思想的分类 2 3.3转化思想在应