不等式证明是中学数学的重要内容之一.由于证明不等式没有固定的模式,证法灵活多样,技巧性强,使其成为各种考试命题的热点问题.灵活构造函数,并利用导数证明不等式是常见的方法.而构造好相应函数是关键.从哪里入手,如何构造,怎么构造,许多同学找不到突破口,常常感到无所适从,甚至构造不出合理的函数.笔者通过2011年一道新课标高考试题的分析,就这类问题的处理方法作一剖析和归纳. Inequalities prove to be one of the important contents of mathematics in middle school.Because there is no fixed mode of proving inequalities, the law is flexible and skillful, which makes it become a hot issue of all kinds of examination propositions.Flexible construction of functions and the use of derivatives to prove inequalities are common The way to construct the corresponding function is the key.From where to start, how to construct, how to construct, many students can not find a breakthrough, often feel at a loss, or even construct a reasonable function.Through 2011 a new college entrance examination exam questions Analysis of the handling of such issues for a analysis and induction.