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在导数的学习中,我们经常会碰到一类题目,它的特点是给出一个抽象函数(函数没有具体的解析式)和一个包含导数的不等式,要求比较几组值的大小.在教学中,笔者发现学生对这类题目的求解存在障碍.其实,这类题目还是有规律可循——主要是通过构造函数求导的方法来判断函数的单调性,进而根据单调性来比较大小.本文通过几道测试卷中的题目来具体讲述这类题目的解法,供大家参考.例1(湖北省部分重点高中联考试题)已知
In derivative learning, we often encounter a class of questions, which is characterized by an abstract function (the function does not have a specific analytic) and an inequality that contains derivatives, the requirements of the size of several sets of values. , The author finds that there are obstacles in the students’ solution to these kinds of questions.In fact, these kinds of questions still follow the law - mainly through the methods of constructor derivation to judge the monotonicity of the function, and then compare the sizes according to monotonicity. Through several test volumes in the subject to specific about the solution of such topics for your reference .Example 1 (Hubei Province, some key high school entrance exam questions) known