不等式的证明是高中数学的重要内容之一。在教学中老师往往会要求学生重点掌握比较法、公式法、综合分析法,理解换元法、判别式法、放缩法、反证法、增量法、数学归纳法等证明方法,一般情况下不太重视用构造法证明不等式(因为技巧性比较强)。其实有些看似复杂的不等式证明题,如果我们开拓视野,认真分析已知条件的特征,并借助于另外一些基本的数学模型(如函数、方程、复数、数列、图形等),把陌生的问题 The proof of inequality is one of the important contents of high school mathematics. In teaching, teachers often require students to master the comparative law, formula law, comprehensive analysis, understanding the yuan, discriminant, scaling, proof, incremental, mathematical induction and other proof methods, under normal circumstances not Pay too much attention to using construction method to prove Inequality (because of the skillfulness). In fact, some seemingly complex inequalities prove that if we broaden our horizons, we carefully analyze the characteristics of known conditions and take advantage of other basic mathematical models (such as functions, equations, complex numbers, sequences, figures, etc.)