极值问题与求法-数学与应用数学论文

极值问题与求法摘要 极值问题是数学学习的重点内容,它广泛存在于生产实践和科学研究中,许多实际问题都可以建立数学模型,抽象为函数极值问题,并运用数学方法加以解决.因此,研究极值问题及其求法具有十分重要的意义和作用.为此本文从极值的定义出发,首先介绍了对极值一般概念的正确理解.其次从一元函数极值、二元函数极值以及条件极值三方面阐述了极值问题的一般求法,并对极值的充分条件进行分析.最后结合课堂教学实践和计算实例给出了几种求极值的方法在实际中的应用.例如,在金融管理领域处理需求分析、仓储管理中的成本最小利润最大问题、理财产品中的最优方案组合问题等等.关键词 极值问题 数学 求法Extreme value problem and its solutionAbstract Extreme value problem is the key content of mathematics learning. It is widely existed in production practice and scientific research, many practical problems can be built up mathematical model, abstract as function extreme value problem, and can be solved by mathematical methods. Therefore, it is of great significance and function to study the extreme value problem and its solution.Based on the definition of extreme value, this paper first introduces the correct understanding of the general concept of extreme value. Secondly, from three aspects of extreme value of one-variable function, extreme value of binary function and conditional extreme value, the general method of solving extreme value problem is expounded, and the sufficient conditions of extreme value are analyzed. Finally, combined with classroom teaching practice and calculation examples, the application of several methods for finding extreme value in practice is given. For example, dealing with demand analysis in the field of financial management, the problem of minimum cost profit in warehouse management, the problem of optimal scheme combination in financial products, and so on.Keywords extreme-value problem Mathematics sol...