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证明数列不等式的问题,集数列问题的抽象性和证明不等式问题的灵活性于一身,是学生最感困难的问题之一,命题者往往以之作为高等学校入学考试或高中数学竞赛的试题。其实,只要抓住解数学题的本质方法——不断地变更命题,这类问题也是不难解决的,笔者在指导高三毕业班的高考复习中,培养学生掌握此法,对提高学生的应试能力颇有成效。本文通过几个例题介绍此法,提供给同行参考。
Proof of the problem of series inequalities, the abstractness of the problem of set number and sequence, and the flexibility of proving inequality problems are one of the most difficult problems for students. Propositioners often use them as examination questions for college entrance examinations or high school math competitions. In fact, as long as we grasp the essential method of solving mathematical problems - constantly changing the propositions, these problems are not difficult to solve, the author in the guidance of the senior high school graduation review of the college entrance examination, training students to master this method, to improve the students’ ability to take the test Very effective. This article introduces this method through several examples and provides reference to peers.