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《数学通讯》学生刊2014年第4期第173题是一道简约而不简单的不等式,在当年第7、8期上刊登了李建国老师的解法,其主要思想是先分离参数,然后分类讨论,利用基本不等式转化为单变量问题,进而用导数求其最值.笔者欣赏完解答后意犹未尽,一直想另辟蹊径寻找其它解法,经过深入研究后,不但巧妙证明了此优美不等式,而且还发现了证明一类三元对称不等式的新方法,现整理成文,以飨读
Issue 173, Mathematics Communication, Issue 4, 2014 The 173rd issue is a simple but not simple inequality. In the 7th and 8th editions of the year, the teacher Li Jianguo’s solution was published. The main idea is to separate the parameters first, The use of basic inequality into univariate questions, and then use the derivative to find the most value.When I appreciate the end of endless answers, has been trying to look for alternative solutions, through in-depth study, not only cleverly proved this beautiful inequality, but also found that a The new method of the class of ternary symmetric inequalities is now organized and written in order to read