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在高中阶段的学习中,我们经常会遇到一些求和问题,这些求和问题,根据式子的特征都有很多解决的办法,裂项相消法就是其中一种,其实质是将求和式子中的每项(通项)分解,然后重新组合,使之能消去一些项,最终达到求和的目的.它是分解与组合思想在求和中的具体应用.是最常见,最好用,也是最难掌握的方法.笔者就在高招、自主招生、及竞赛中遇到的问题来谈谈裂项相消法的形成思路、解题技法、出题规律,以飨读者.
In the study of senior high school, we often encounter some questions of summation. These questions of summation have many solutions according to the characteristics of the formulas. Each of the formulas (general terms) is decomposed, and then re-combined so that it can eliminate some of the items, and finally achieve the purpose of summation. It is the specific application of decomposition and combination of ideas in the summation is the most common, the best Use, is also the most difficult way to master.The author is in the tricks, self-enrollment, and competition problems encountered to talk about the formation of split-phase method of thinking, problem-solving techniques, the title of the law to readers.