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函数思想就是指用函数的概念和性质去分析问题,转化问题和解决问题.利用函数的思想解决实际问题,就是抛开所研究对象的非数学特征,抽象其数学特征,建立各变量之间固有的函数关系,通过函数形式,利用函数的图象及性质解决问题,使复杂问题简单化.(1)对一些形式上看似非函数的问题,经过恰当的数学变换与构造,建立函数关系,使非函数问题转化为函数问题.
Function thought refers to the concept and nature of the function to analyze the problem, transform the problem and solve the problem.Using the idea of function to solve the practical problem, is to put aside the non-mathematical characteristics of the research object, abstraction of its mathematical characteristics, the establishment of the inherent between the variables (1) For some formally seemingly non-functional problems, through the appropriate mathematical transformation and construction, the establishment of functional relations, so that the use of the function of the image and the nature of the problem to solve the complex problems. Non-functional problems into function problems.