美国著名数学家G·波利亚曾说:“一种想法使用一次是一个技巧,经过多次使用就可成为一种方法.”自算是一种基本且重要的解题思想,伴随自算思想并由此而产生的数学解题方法称之为自算法.根据题目的结构特征,利用自加运算、自乘运算等是自算法的主要手段.运用这种方法证明某些不等式,往往能化繁为简,变难为易,得到简捷合理的解题途径,兹举例说明. G. Polly, a famous American mathematician, once said: “Using an idea once is a trick that can be used after repeated uses.” Self-supremacy is a basic and important problem-solving thought, According to the structural features of the subject, the use of self-add operation, self-operation is the main means of self-algorithm. Using this method to prove that some of the inequalities, often Able to complex, simple and easy, get a simple and reasonable way to solve the problem, give an example.