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数学教育家乔治·波利亚有句名言:“掌握数学就意味着要善于解题.”数学解题贵在自然、本质,意在简单、深刻.奇思妙解虽让人拍案叫绝,但展现思路来龙去脉的解法,则更加平易近人,使读者能知其然且知其所以然.在不等式的证明中,经常会看到一些巧妙无比、美轮美奂的证法.这些证法给人以美的享受,但也很容易造成困惑:这么好的解法,解题者是如何想到的呢?本文笔者借助待定系数法来解决常见的这类困惑,意在抛砖引玉,和读者交流探讨.
Mathematical educator George Borriya has a famous saying: “Mastering mathematics means being good at problem solving.” Mathematical problem solving is more natural and essential, and is intended to be simple and profound. , But the way to show the way of thinking is more approachable, so that the reader can know it and know what it is .In the proof of inequality, you will often see some clever, magnificent card law.These cards give people To enjoy the United States, but it is also very easy to cause confusion: such a good solution, the solver is how to think of it? In this paper, with pending coefficient method to solve such common confusion, intended to start a discussion, and readers to explore.