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函数是高中数学的重要内容之一,其理论和应用涉及各个方面,是贯穿整个高中数学的一条主线.函数思想是指用运动和变化的观点,集合与对应的思想,去分析和研究数学问题中的数量关系,建立函数关系,利用函数加以研究,从而使问题获解;或运用函数的图象和性质,去分析、解决函数的某些问题;或对于一些从形式上看是非函数的问题,但经适当的数学变换或构造,使这一非函数的问题转化为函数的形式,并运用函数的有关性质来处理这一问题,从而使问题得到解决.这种处理、解决问题的思想方法,就是函数的思想方法.
The function is one of the important contents of high school mathematics. Its theory and application involve various aspects and is a main thread that runs through the mathematics of high school. The function thought refers to the analysis and study of mathematics problems by using the viewpoint of movement and change, assembling and corresponding thoughts. The quantitative relationship in the relationship between the establishment of a functional relationship, the use of functions to study, so as to solve the problem; or use the image and nature of the function to analyze, solve some of the problems of the function; or for some form of non-function issues , But after appropriate mathematical transformation or construction, this non-function problem is transformed into a function form, and the relevant properties of the function are used to deal with this problem, so that the problem is solved. This kind of processing, the idea of solving the problem , is the idea of the function.