论文部分内容阅读
数列不等式的证明,因其思维跨度大、构造性强,需要有较高的放缩技巧而充满思考性和挑战性,能全面而综合地考查学生的潜能与后继学习能力,因而活跃在高考压轴题及各级各类竞赛试题中.这类问题的求解策略往往是:通过多角度观察所给数列通项的结构,深入剖析其特征,抓住其规律进行恰当地放缩.通过研究各类试题,笔者发现,伪等比数列法亦是数列不等式证明的一种有效方法.本文结合各类试题,谈谈“伪等比数列法”及其应用.
The proof of numerical inequality is that it has a wide range of thinking, strong constructiveness, high scalability and thinking skills, and full and comprehensive examination of potential and subsequent learning ability of students. Questions and competitions at all levels of various questions.To solve these problems are often strategies: through a multi-angle observation of the sequence of items given to the structure, in-depth analysis of its characteristics, to seize its laws to appropriate scaling.Through the study of various types Questions, I found that the pseudo-equivalence series method is also proved to be an effective method of numerical inequalities.This paper combines various questions, talk about “pseudo-equivalence series” and its application.