数列不等式的证明问题,既是中学数学教学的重点、难点,也是高考的热点.近年来的高考中,屡屡出现不等式与数列结合的证明问题.笔者通过分析,发现对这类问题的处理方法中,以放缩法较为常用,其放缩的目标一般是转化为特殊数列(利用特殊数列的可求和,可求积性质解决问题).下面例谈借用“放缩”转化为特殊数列求和的一些技巧. The proof of numerical inequalities is not only the focus but also the difficult point of high school mathematics teaching as well as the hot spot of college entrance examination.In recent years, college entrance examination has repeatedly proved the combination of inequality and sequence.In the author’s analysis, To scaling method is more commonly used, the scaling target is generally converted into a special sequence (using a special sequence of additions can be quadrature nature to solve the problem.) The following example talk about the use of “scaling ” into a special series of seeking And some tips.