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函数的本质是反映日常生活中两个变量间互动的因果关系,是对现代生活实践中许多现象的抽象概括。学生学习函数的概念、了解函数的特征至少有三方面的益处:一是能用函数的观点分析所获取的信息间的相互联动关系;二是善于抓住主要矛盾,处理好日常生活中的事情,做到思路清晰,有条不紊;三是能更方便地理解各类基本初级函数的概念以及简单的复合函数、反函数的概念,提高自身的数学素养。
The essence of the function is to reflect the causal relationship between the two variables in daily life, which is an abstract summary of many phenomena in the practice of modern life. Students learn the concept of function to understand the characteristics of the function at least three aspects of the benefits: First, the perspective of the function can be used to analyze the information obtained between the interaction between; Second, good at seizing the main contradictions, to deal with things in daily life, So that the train of thought is clear and methodical; third, it is easier to understand the concepts of various basic primary functions and the concepts of simple compound functions and inverse functions and improve their mathematical literacy.