新教材第 6章“不等式”中介绍了证明不等式的三种常用方法 ,即 :比较法、综合法、分析法 .这些方法都是通过运用不等式的性质 ,对不等式进行某种变形 ,最终使问题得以解决 .事实上“等”与“不等”是对立的统一 .在我们研究过的相等关系中也同样隐含着不等的关系 ,只要将导致 Three common methods for proving inequalities are introduced in Chapter 6, “Inequalities,” of the new textbook, namely, the comparison method, the synthesis method, and the analysis method. These methods all use inequality properties to inequality certain inequalities and eventually cause problems. To be solved, in fact, “equal” and “inequality” are the unity of opposites. In the equivalence relations we have studied, there are also implicitly unequal relations that will lead to