化归思想在高中数学解题过程中的应用分析

Applications of Transformation Thought in Solving High School Mathematical Problems

在高中数学的学习中我们会遇到各种各样的问题,而解决这些问题是学好数学的关键所在.而在数学的知识海洋中有数不清的习题,只有掌握正确的解题思想,才能够顺利的解决它们,正确的解题思想也可以称作是化归思想.在高中阶段的数学学习过程中所接触的数形结合思想、函数思想以及等价转化思想等,从本质上而言都属于化归思想.所以我们应当认识到,化归思想是高中数学学习的核心内容之一.下面我们从实际学习情况出发,分析化归思想在例题解决过程中的实际应用.

We encounter a variety of problems in high school mathematics learning, and the key to learn mathe- matics well is to solve these problems. There are countless exercises in the knowledge of mathematics. Only by mastering correct problem--solving ideas can we work them out smoothly. The transformation thought is a type of correct ideas of solving mathematical problems. The thoughts that we encounter in the learning process of mathematics at high school all inherently belong to transformation thought, including number--shape com- bination thought, function thought and equivalent transformation thought. We thus should realize that trans formation thought is one of the core contents of high school mathematics learning. This paper is devoted to an- alyze the practical application of transformation thought in some examples during our actual learning.