孔子曰:“学而不思则罔,思而不学则殆”.近日拜读了贵刊的文[1],安振平老师由一个恒等式出发得到了一系列优美的不等式,读完深受启发,意犹未尽,也进行了深入探究,通过巧妙代换,得到一些优美不等式,现整理成文,以飨读者.一、由文[1]中问题10引出的优美不等式文[1]中问题10为:设a,b,c是不相同的实数,λ是实数,求证: Confucius said: “Learning without thinking is indiscriminate, thinking without learning is almost ” Recently read your article [1], An Zhenping teacher starting from an identity obtained a series of beautiful inequalities, finished Inspired by this, I still have not done enough, but also carried out in-depth exploration, through clever substitution, get some beautiful inequalities, is now organized and written, in order to readers.From [1] in the question 10 of the beautiful inequalities [1] 10 is: Let a, b, c are not the same real number, λ is real, verify: