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数学上没有给出解析式的函数称为抽象函数,其表达形式为y=f(x).抽象函数问题往往与函数的定义域、值域、单调性、奇偶性、周期性和图象紧密联系在一起,考查学生数学符号语言的理解能力、对一般和特殊关系的认识以及数学的综合能力三个方面.因之,解决抽象函数问题对学生基础知识、抽象思维能力、数学综合应用能力等方面要求较高.兹举例分析抽象函数问题.
Mathematically, a function that is not given an analytical function is called an abstract function, and its expression is y = f (x). Abstract function problems are often related to the function’s domain, range, monotonicity, parity, periodicity and image Together, to examine the student’s ability to understand the language of mathematical symbols, the relationship between general and special knowledge and comprehensive ability of mathematics.Therefore, to solve the problem of abstract function of students’ basic knowledge, abstract thinking ability, math comprehensive application ability Aspects require higher. Here are examples of abstract function problems.