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函数是高中数学中最为重要的一章,也是进一步学习高等数学的基础,因此它在历年高考数学试题中占有重要的地位,有关函数试题的分值列13章之冠.这一章主要内容有三大块:函数概念,函数性质,几类常见函数的定义、图象与性质及应用,本文先谈第一部分——函数概念中的几个问题:一、用映射的观点正确理解函数概念在高中数学中,是用映射的观点定义函数的,其要点有:是实变量实值函数(定义域与值域是非空实数集);对应关系是“全射”与“单值”的(对于定义域中的每一个值都有唯一的函数值与之对应).对于概念的理解不能只停留在表层的记忆上,而应该有深层次的把握.
Function is the most important chapter in high school mathematics, and it is also the basis for further study of advanced mathematics. Therefore, it has played an important role in the mathematics test of college entrance examinations over the years. The scores of related function test questions are listed in chapter 13. This chapter has three main contents. Bulk: The concept of functions, the nature of functions, the definitions, images, properties, and applications of several common functions. This article begins with the first part - several questions in the concept of functions: 1. Correct understanding of the concept of functions in a high school from the point of view of mapping. In mathematics, a function is defined by a mapping point of view. Its main points are: a real variable real value function (the definition domain and the value domain are non-empty real number sets); the correspondence relationship is “full shot” and “single value” (for definition Each value in the domain has a unique function value corresponding to it. The concept of understanding can not only stay in the memory of the surface, but should have a deep grasp.