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抽象函数是指没有给出具体的函数解析式或图表,而只是给出一些特殊性质的函数.关于抽象函数的一类问题是求其函数值或求函数值的范围.这类问题在高三的复习资料中时有出现,学生往往难于下手,想不出解题思路.解答这类问题的一种方法是赋值法.解题者需认真挖掘题目条件,对准题目要求,有效选取自变量特殊值,通过计算其对应的函数值,使问题得以解决.以下是学生从有关资料中选出向笔者求教的问题,兹以此为例进行分析,不妥之处请读者批评指正.
Abstract function is not given a specific analytic function or chart, but only to give some special properties of the function of a class of abstract function is to find the value of the function or seek the range of values. Such problems in the third year Review the information sometimes appear, students are often difficult to start, can not think of solutions to problems.To solve these problems is a method of assignment.To solve the problem should be carefully digging the title conditions, aimed at the requirements of the effective selection of variables Special value, by calculating the corresponding function value, so that the problem can be solved.The following is the student from the relevant information to elect the author to ask questions, hereby take this as an example to analyze, please readers criticize correction.