| 2011年研究生建模竞赛B题的评阅综述 |
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| 引用本文： | 周国标.2011年研究生建模竞赛B题的评阅综述[J].数学的实践与认识,2012,42(14):212-217. |
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| 作者姓名： | 周国标 |
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| 作者单位： | 上海交通大学理学院数学系,上海,200240 |
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| 摘 要： | 本题从一项科研项目中提炼、并结合目前成为关注热点的隐身技术而设计,侧重于数学建模.结合题中的2个问题,可以抽象出3个平时比较少见的数学模型:几何模型,反射投影模型和积分方程模型.在竞赛中,前2个模型都有部分同学正确地得出,可惜的是,问题2所要求的积分方程模型,在近500份答卷,却无人得出,甚为遗憾.问题2属于一个需要同时确定数个彼此关联影响的函数的问题,处理这样问题的基本方法是建立以这些函数为变量的方程组,在这里由于确定相互影响的定量关系必须用积分,所以最终得出的是一个积分方程组.微分积分是大学数学中最基本最重要的概念和方法,由此不难看出,我们的基础教育中的弊病与问题,这需要引起有识之士们的反思.
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| 关 键 词： | 几何模型 代数模型 积分方程模型 |
Survey on the Problem B in the Notional Contest of Mathematical Modeling for Postgraduate,2011 |
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| ZHOU Guo-biao.Survey on the Problem B in the Notional Contest of Mathematical Modeling for Postgraduate,2011[J].Mathematics in Practice and Theory,2012,42(14):212-217. |
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| Authors: | ZHOU Guo-biao |
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| Institution: | ZHOU Guo-biao (Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China) |
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| Abstract: | The problem B in the Notional Contest of Mathematical Modeling for Postgraduate, 2011,came from a real engineering projection.For the 2 questions in the problem,there are 3 kinds of new models:geometry model,algebra model and integral equation model.In contest,some participants drew out the front 2 kinds of models corectly.But it was a real pity that nobody proposed the integral equation model.This is a problem which needs to determine several functions acting each other.There are quite a common drawbacks in the test answer,that reflect more problems in the mathematical education in the domestic universities.It is worth paying close attention to these problems for the people of insight. |
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| Keywords: | geometry model algebra model integral equation model |
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