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随着新课标的实施,用导数研究函数的性质,解决与方程、不等式有关问题已是相当普遍.本文归纳说明如何利用已知的导数不等式条件构造函数求解问题,希望对学生的学习提到启迪帮助的作用.一、利用四则运算求导法则构造函数这类问题是在导数关系下根据导数式的‘外形结构’的特征,利用导数的四则运算法则构造函数,利用函数的单调性等性质,可研究两个数的大小、不等式的解或不等式的证
With the implementation of the new curriculum standard, it is quite common to solve the problems related to equations and inequalities by using the properties of derivatives to study the properties of the functions. This article summarizes how to use the known conditions of the derivative inequalities to construct the function solving problems, Help the role of A. First, the use of four arithmetic derivation law Constructor This type of problem is based on the derivative under the derivative of the ’structure’ feature, the use of derivatives of the four algorithms constructor, the use of monotonicity and other properties, The size of two numbers, the solution of inequality or the inequality of evidence can be studied