着重从两大方面论述了在数学解题中如何恰当地运用函数思想:(1)借助有关初等函数的性质,解决有关求值、解(证)不等式、解方程、最大值和最小值、有关方程根存在性以及讨论参数的取值范围等问题;(2)在问题的研究中,通过建立函数关系式或构造中间函数,把所研究的问题转化为讨论函数的有关性质,达到化难为易、化繁为简的目的. This paper focuses on two aspects of how to apply the function thought properly in the mathematical problem solving: (1) With the help of the nature of the elementary function, we can solve the problems of evaluation, solution inequality, solution equation, maximum value and minimum value The existence of the root of the equation and the range of the parameters to be discussed; (2) In the research of the problem, by building the function relation or constructing the intermediate function, the researched question is transformed into discussing the relevant properties of the function, , Simplify the purpose of simplification.