英语翻译函数的极值问题是高等数学中数学分析的一个最基本，也是最重要的内容之一。当今社会，这一问题被广泛应用在经济领域、科

英语翻译
函数的极值问题是高等数学中数学分析的一个最基本，也是最重要的内容之一。当今社会，这一问题被广泛应用在经济领域、科技领域、工农业生产以至于人们的日常生活中。由于它的重要性和应用广泛，加之它本身变化纷繁，人们对它的研究方法也较多。特别是在二元函数极值存在的判别方法问题上，通过对它的学习与研究，并逐步掌握它，将不仅可以丰富多元函数微积分理论知识，而且也有助于整个高等数学的发展。
本文主要介绍了在教材数学分析已有知识的基础上进一步探讨二元函数极值存在的判别方法。笔者通过交流探讨，并对一些参考文献和资料进行综合分析，并且运用office、公式编辑器等计算机应用软件来对课题进行研究，最终形成理论。

Finding the extreme values of a function is one of the most basic and the most important topics in the advanced mathematical analysis.In the modern society,this kind of problems has been greatly applied in the economical,scientific,agricultural,industrial fields and people's daily life.Due to its significance and broad applications as well as its complex variety,people have come out with a number of methods to study the problems,especially in problems of determining whether a double variable function has extremities.By studying this particular type of question and gradually learning to apply it,people can not only extend their theoretical knowledge of multi-variable calculus,but also improve the overall development of the high-level mathematics.
This article mainly introduces the discrimination methods of further exploring the existence of extremities of a double variable function,on the base of the mathematical analysis knowledge provided by the textbooks.To resolve those problems,the author has had several discussions (with other scholars),analysed and studied some reference articles and materials,used software such as Office,equation compiler,and eventually proposed a theory..