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众所周知,运用均值不等式解题的灵魂在于配凑,而配凑的精髓在于寻找不等式等号成立的条件,其过程往往巧妙无比,美轮美奂,或行云流水,一气呵成,或化整为零,各个击破,给人以美的享受.客观地说,运用均值不等式在处理一些难度较大的竞赛题中,往往配凑的技巧性过强,思维强度过大,不具有普遍性,既不符合学生的认识规律,又容易造成学生“只在此山中,云深不知处”的困惑.对此,笔者更青睐解题中的通性通法,借助
It is well-known that the soul of problem solving using mean inequality lies in the fact that the essence of pairing lies in finding the conditions for the establishment of inequalities. The process is often clever, magnificent, or smooth, Objectively speaking, the use of mean inequality in dealing with some of the more difficult competition questions, often with a combination of skill too strong, too strong thinking, not universal, neither in line with the students Understand the law, but also easily lead to students “In this mountain, the clouds do not know where ” confusion.In this regard, I prefer the common problem-solving method, with