抽象函数背景下的函数值问题,是指题目没有给出具体的函数解析式,也没有告诉我们是什么函数,只是给出函数f(x)满足的函数关系、函数性质、函数方程、恒等式和运算性质,要求我们求相应函数的函数值.所以这类问题隐蔽性、抽象性、灵活性、技巧性、综合性都较强,涉及的知识面较广,使不少同学感到困难,甚至无所适从.为此,笔者以一类典型抽象函数背景下的函数值问题为例,认真分析和总结 The problem of the function value in the abstract function background means that the problem does not give a specific function analytic formula and does not tell us what function it is but only gives the function relation that the function f (x) satisfies, the nature of the function, the function equation, the identity The nature of the operation requires us to find the function value of the corresponding function, so these problems are concealed, abstract, flexible, skillful and synthetically strong, involving a wide range of knowledge, which makes many students feel difficult or even overwhelmed To this end, the author takes a class of function value problems in the background of typical abstract functions as an example, carefully analyzing and summarizing