目前,高考数学中的很多压轴题会考查导数的应用,其中不等式的证明出现频率较高,如何恰当地构造函数是解决这类问题的关键。构造函数的情况不一,有时需依原形构造函数,有时需变形后构造函数;有时需适当放缩以后构造函数,有时需化离散为连续构造函数;有时需构造一个函数,有时需构造两个函数。以下结合一些典型例题,介绍构造函数证明不等式的方法。 At present, many of the finale questions in college entrance examination math test the application of derivatives. The inequalities prove to occur frequently. How to construct the function properly is the key to solve these problems. Sometimes the constructor needs to be deformed, and sometimes the constructor needs to be deformed. Sometimes the constructor needs to be scaled appropriately, and sometimes it needs to be discretized into continuous constructors. Sometimes it is necessary to construct a function and sometimes construct two function. The following combination of some typical examples, introduced constructor proved inequality method.