不等式的证明是历届IMO中的热点问题,而不等式的证明存在着寻找入口难、条件运用难、确定变形方向难等问题,学生普遍感到恼火.本文从一道第6届IMO试题入手,利用学生熟悉的知识,从多方面考虑,运用多种方法进行证明,从而探求不等式的一般解题思路,使学生能举一反三、触类旁通. Inequality is proved to be a hot issue in the past IMO, but inequality proved that there are some problems that are difficult to find entrance, difficult to use conditions, difficult to determine the direction of deformation, students generally feel annoyed.This article from a 6th IMO test questions, using the students familiar Knowledge, from many considerations, the use of a variety of methods to prove that in order to explore the inequality of the general problem-solving ideas, so that students can learn by analogy, by analogy.