数学是研究数量关系与空间形式的学科,“数”与“形”以及它们的联系与转化是数学的永恒主题,以坐标系为纽带使函数、方程与曲线建立了一一对应关系,从而对数量关系的研究可转化为对图形性质的研究,反之亦然。不等式是高中数学的重要内容,其证明方法非常灵活多样,如比较法、综合法、分析法、放缩法等等.用解析法也可以证明不等式,求最值等.现举例如下: Mathematics is a discipline that studies quantity relations and spatial forms. The “numbers” and “forms” and their connections and transformations are the eternal topics of mathematics. Using coordinate systems as a link makes functions, equations, and curves one to one. Relationships, thus the study of quantitative relationships can be translated into the study of the nature of the figures, and vice versa. Inequality is an important content of high school mathematics, and its method of proof is very flexible and diverse, such as comparison method, synthesis method, analysis method, deflation method, etc. The use of analytical methods can also prove inequality, find the maximum value, etc. The following examples are given: