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在初等数学解题中,有相当一部分习题要借助于一个重要定理来解决,这就是算术——几何平均值定理,本文将给出这个定理两个较为简洁的证明。
In elementary mathematics problem solving, there is a considerable part of the problem to be solved by an important theorem. This is the arithmetic-geometric mean theorem. This article will give two brief proofs of this theorem.