数列不等式的证明是高中数学教学的重点和难点,也是历年高考考查的热点,并且多以试卷压轴题的形式出现,证明此类不等式最常用的手段是放缩策略,但放缩策略的思维跨度大、构造性强,除要求解题者时刻注意把握好放缩的“尺度”外,还需要具有较强的拆分组合能力,本文结合新课程介绍数列不等式证明中的几种典型放缩策略,供大家参考.一、二项式展开放缩若所证数列不等式中含有幂式特征,则往往可考虑利用二项式定理,舍去展开式中的部分项,达到 The proof of series inequalities is the focus and difficulty of mathematics teaching in senior high schools. It is also a hot topic in the college entrance examinations over the years, and it mostly appears in the form of test paper finale questions. The most common means used to prove such inequalities is the scale-down strategy, but the span of the strategy of zoom-out strategies. Large and constructive, in addition to requiring that the solver always pay attention to grasp the scale of the scale, but also need to have a strong ability to split the combination, this article introduces the new course introduces a series of typical inequality proof Shrink strategy, for your reference. First, the binomial exhibition opening shrinks if the series of inequality in the evidence contains power features, you can often consider the use of binomial theorem, rounding out some of the items in the expansion, to achieve