不等式证明方法的探讨

摘要  数学是一个不可分割的整体,它的存在价值依赖于各个分支之间的联系.不等式则是我们探讨数学奥秘的非常有利的资源,而且对于我们培养学生的思考方向和方法,领会数学的内在价值,了解知识间的紧密联系,促进学生的创造性跳跃性思维都有着不容忽视的作用。不等式在数学的各个分支里都有着极其广泛的应用,把它应用在不同的领域里就有着不同的表现形式,不等式的应用有着多种多样的形式,无论是在初等数学的运用还是在高等数学的运用中都有着举足轻重的地位,主要都体现了数学各个领域之间的相通性、渗透性和统一性.本文着重探讨一下不等式的证明、不等式的解法以及不等式的应用这三个重要部分.不等式的证明是不等式知识里的重要组成部分。在证明不等式前，往往需要根据题目给定的条件以及特征不等式的结构特点和内在联系，选择合适的证明方法，要非常熟悉各种证明方法中的推理方法，并且掌握相应的步骤、解题方法等，通过发现问题的本质特征，使难解性的问题变成可解性的问题.

关键词  不等式的证明  不等式的解法  不等式的应用
The Inequality Proofmethod Discussion
 
Abstract  Mathematics is an indivisible whole, its value depends on the various branches of the link between. The inequality is we explore the mathematical mystery of the very advantageous resources, but also for us to cultivate students' thinking way and method, understand the inner value of mathematics knowledge, understanding of the connection between, promote students' creative leaping thinking has a role that can not be ignored. Inequality in the various branches of mathematics have an extremely wide range of applications, it is applied in different areas have different forms, the application of inequality have a variety of forms, both in the Elementary Mathematics use or in higher mathematics application has play a decisive role position, mainly reflects the similarities between the various areas of mathematics, permeability and unity. This paper emphatically discusses the inequality proof, the solution of inequality and inequality in the application of these three important parts. The proof of inequality is an inequality is an important part of knowledge. In the proof of inequality, often need according to the topic given conditions as well as the characteristics of the structure and internal relation of inequality, select the appropriate method of proof, be very familiar with various methods of reasoning, and master the corresponding steps, such as problem solving method, through the discovery of the nature of the problem characteristics, so that the difficulty of the problem into solvable sexual problems.
Key words   the proof of inequality   the solution of inequality   the application of inequality

*若需了解更多与协助请咨询↓→[电脑QQ][手机QQ]【数据协助】