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柯西不等式结构和谐、形式优美,它在证明不等式、求解函数最值等方面都有广泛的应用,也是高考考查的热点。柯西不等式中涉及到三个因式,而待解题目中往往只有其中的一个或两个,我们可以通过配凑出缺少的因式来运用柯西不等式解决问题。
Cauchy inequality has a harmonious structure and a beautiful form. It has a wide range of applications in proving inequalities and solving the most values of functions. It is also a hot spot for college entrance examination. There are three factors involved in Cauchy inequality, and only one or two of them are often to be solved. We can solve the problem by using Cauchy inequality with a few factors.