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证明不等式是现在的数学竞赛的热点和考点 ,近来每年的冬令营、ＩＭＯ等各级数学竞赛 ,几乎都要涉及有关不等式的题目 .由于分母带根号的不等式证明的难度大 ,因而近年来的出现频率增加 .下面 ,就介绍解决这类问题的一个很实用的方法———换元法 .首先来看一个例题 :例 1 (
Proof of inequality is the hot spot and test point of the current math contest. Recently, every year’s mathematics competitions such as winter camp and IMO involve almost all the problems related to inequalities. Because the inequality with the denominator root is difficult to prove, it has been in recent years. The frequency of occurrence has increased. The following is a very practical method to solve this type of problem: the substitution method. Let us first look at an example: Example 1 (