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数列与不等式不仅是高中数学学习的重要知识,更是学习高等数学的基础.数列中有许多与不等式相结合的不等关系,这些不等关系是数列与不等式两部分知识的综合与应用,正确处理这类不等关系能从较高层次上培养学生的逻辑思维能力与分析问题解决问题的能力.探求数列中不等关系成立的方法与策略较多,“放缩”是常用的基本方法策略.本文将列举探求数列中的不等关系成立的几种放缩策略.
Series and inequality are not only the important knowledge of high school maths learning, but also the basis for learning higher maths. There are many inequalities in the series which are combined with the inequalities. These inequalities are the combination and application of the two series of knowledge of series and inequality. To deal with these kinds of unequal relations can train students’ logical thinking ability and analyze problem solving ability at a higher level.There are many methods and tactics to establish unequal relations in the series, and “scaling” is a common basic Methodology This article will list several scaling strategies that explore the existence of unequal relationships in a series.