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柯西不等式具有对称和谐的结构,应用的关键在于抓住问题的结构特征,找准解题的正确方向,合理地变形、巧妙地构造.作为新课程的选修内容,柯西不等式(简记为“方和积不小于积和方”)在数学的多个领域都有着广泛的应用,不仅在代数方面能够帮助我们解决问题,而且在解决三角问题时也给我们带来极大的方便.下面分类例析,旨在探索题型规律,揭示解题方法.
Cauchy inequality has a symmetrical and harmonious structure. The key point of the application is to grasp the structural features of the problem, identify the correct direction of problem solving, reasonably deform, and construct skillfully. As an optional part of the new curriculum, Cauchy inequality “Square sum is not less than plot square ”) has a wide range of applications in many fields of mathematics, not only in algebra can help us solve the problem, but also to solve the triangle problem also gives us a great convenience The following classification analysis aims to explore the type of questions to reveal the problem solving method.