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在近几年的全国各地与高考有关的各类考试中,出现了一类抽象函数与导数交汇的重要题型,这类问题由于比较抽象,很多同学解题时,突破不了由抽象而造成的解题障碍.实际上,根据所解不等式,联想导数的运算法则,构造适当的辅助函数,然后利用导数判断其单调性,从而“脱去”对应法则,变陌生于熟悉,是解决这类问题的通法.本文以近年来各地的调研、模考试题为例,以示说明.
In recent years all over the country and college entrance examination all kinds of examinations, there has been a class of abstract functions and derivatives converge important questions, because of these issues more abstract, many students solve problems, can not be caused by the abstract In fact, according to the algorithm of the solved inequality and the associative derivative, we construct the appropriate auxiliary function, and then use the derivative to judge the monotonicity, so that the law of “taking off” Class problem.This article takes the research in recent years, model test questions as an example, to show that.