教材中只给出几种证明方法如比较法、分析法、综合法来证明不等式,而实际上证明不等式的方法是很多的,所使用的方法可以涉及函数、数列、导数、三角函数、向量等许多方面的知识点,同时掌握好证明不等式的方法对于加深理解这些知识点又起着深化的作用.下面我们抛开比较法、分析法、综合法,来阐述证明不等式的其他方法. Only a few proof methods are given in the textbooks such as comparison, analysis, and synthesis to prove inequality. In fact, there are many ways to prove inequality. The methods used can involve functions, sequences, derivatives, trigonometric functions, vectors, etc. Many aspects of knowledge, while at the same time mastering the methods of proving inequalities, have also played a deepening role in deepening the understanding of these knowledge points. Below we put aside comparative methods, analysis methods, and comprehensive methods to illustrate other methods of proving inequalities.