中学数学函数与方程思想应用研究摘要 函数和方程在中学数学中是不可或缺的一部分，函数与方程思想是这两者深层次的升华。历年来的高考，对于数学思想的考查重点更多放在“函数与方程思想”上是一种趋势。学生对于该思想的掌握程度与能否提升学习效能、掌控高效率解题有着重要的联系。本文通过查阅与函数与方程思想相关的文献资料，对中学数学函数与方程思想的概念加以分析，再以近五年的高考题、模拟题为例，分析其中蕴含的函数与方程思想，探讨函数与方程思想的渗透以及对解决相关难题的方法和作用，获得了一些教学启示和培养解题思维的途径，希望能为高中生提升数学成绩作出一定贡献。关键词 函数 方程 应用 中学Applied Research on Mathematics Function and Equation Thought in Middle SchoolAbstract Functions and equations are an indispensable part of middle school mathematics, which are abstracted to a higher level to form the "thought of functions and equations". Over the years of college entrance examination, the focus of the examination of mathematical thought is more on the "function and equation thought" is a trend. Students' mastery of the idea is closely related to whether they can improve their learning efficiency and control their high efficiency in solving problems. In this paper, through consulting documents and materials related to function and equation, the concept of middle school mathematical function and equation analysis, and nearly five years of the university entrance exam questions, simulation instance, analyses the implied function and equation of ideas, and to explore the infiltration of function and equation of thoughts to solve the related problem and role, and gained some enlightenment teaching and training the problem solving thinking way, hopes to improve high school students in math to make a certain contribution.KEY WORDS Function equation application middle school目 录引言.................................
