不等式问题覆盖面广、综合性强 ,是当今各层次数学竞赛 (包括IMO)的热点和难点之一 ,而不等式问题的处理更以“多入口 ,方法巧”见长 .为了寻求规律 ,探索解题途径 ,笔者搜集了部分有关不等式问题试题 ,深入研究 ,发现许多问题都能采用柯西不等式加以简单地解决 .下面举例加以 The problem of inequality has wide coverage and comprehensiveness. It is one of the hotspots and difficulties in all levels of mathematics competition (including IMO). The treatment of inequality problems is known as “multiple entrance and method”. In order to seek the law, explore the solution to the problem. The author has collected some questions on inequality problems and conducted in-depth research. He found that many problems can be solved simply by using the Cauchy inequality.