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反函数是高考热点问题之一,在历年和各个省市的高考试题中,考查反函数的试题屡见不鲜,下面就2005年部分省市的高考反函数试题选解分析几例,以扩大读者的视野.一、直接考查反函数的定义【例1】函数y=x+x2(x∈R,且x≠-2)的反函数是.解析:由反函数的定义直接求得f-1(x)=12-xx(x∈R
The inverse function is one of the hot topics of the college entrance examination. In the examination questions of previous years and various provinces and cities, the examination of the examination questions of the inverse function is common. The following analysis of several cases of the inverse examination questions of the college entrance examinations in 2005 was carried out to expand readers’ horizons. 1. A direct examination of the definition of the inverse function [Example 1] The inverse function of the function y=x+x2 (x ∈ R, and x ≠ -2) is. Analytical: Directly finds f-1 (x) from the definition of the inverse function. )=12-xx (x∈R