不等式在数学中的地位十分重要,证明不等式的方法和技巧也很多,本文介绍一些常用方法及其在数学竞赛中的应用.1分析和综合法通过恒等变形或不等式的运算,将欲证的不等式化为明显的熟知不等式,从而证明原不等式.相反,也可以从已知不等式出发,经过逐步推理而导出欲证的不等式.例1 Inequality in mathematics is very important to prove the inequality of the methods and techniques are also a lot, this article describes some of the commonly used methods and their applications in math competition.1 Analysis and synthesis method Through the equal deformation or inequality operation, to prove Inequality is obviously known as inequality, which proves that the original inequality.On the contrary, starting from the known inequalities can also be deduced through step-by-step reasoning inequalities.Example 1