用聚点原则证明闭区间连续函数的有界性定理及其在数学建模中的应用

That closed interval continuous function boundedness theorem by accumulation principleAnd its application in mathematical modeling

连续函数是分析数学中研究的重要对象,闭区间上连续函数的性质是《数学分析》课程的重要内容,本文利用聚点原则和构造法给出了闭区间连续函数的有界性定理的一种新的证明方法,并且以一道数学建模的问题为例,将数学分析中理论应用于实际,让数学作为一种工具解决各类实际问题。

continuous function is an important analysis object in mathematics study, closed interval property of continuous function is an important content of the course＆quot;mathematical analysis＆quot;, a new method to prove theorem of closed interval continuous function is present-ed in this paper by using the principle and method of constructing point, and to a mathematical modeling problem for example, in mathe-matical analysis theory to practice, let mathematics as a tool to solve all kinds of problems.