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第一届“认证杯”数学中国 数学建模国际赛 承 诺 书 我们仔细阅读了第一届“认证杯”数学中国数学建模国际赛的竞赛规则。 我们完全明白，在竞赛开始后参赛队员不能以任何方式（包括电话、电子邮件、网上咨询等）与队外的任何人（包括指导教师）研究、讨论与赛题有关的问题。 我们知道，抄袭别人的成果是违反竞赛规则的, 如果引用别人的成果或其他公开的资料（包括网上查到的资料），必须按照规定的参考文献的表述方式在正文引用处和参考文献中明确列出。 我们郑重承诺，严格遵守竞赛规则，以保证竞赛的公正、公平性。如有违反竞赛规则的行为，我们将受到严肃处理。 我们允许数学中国网站()公布论文，以供网友之间学习交流，数学中国网站以非商业目的的论文交流不需要提前取得我们的同意。 我们的参赛队号为： 我们选择的题目是： 参赛队员 (签名) ： 队员1 队员2： 队员3： 参赛队教练员 (签名)： 无 第一届“认证杯”数学中国 数学建模国际赛 编 号 专 用 页 参赛队伍的参赛队号：（请各个参赛队提前填写好）： 竞赛统一编号（由竞赛组委会送至评委团前编号）： 竞赛评阅编号（由竞赛评委团评阅前进行编号）： PROBLEM A:Keep Coffee in the Cup Abstract According to the question that when you wonder with a cup of coffee, the coffee sometimes spill ,we set up a model and the model discusses some factors that influences spilling. And we can control these factors to keep coffee in the cup . Firstly, based on the knowledge of fluid mechanics , Coordinate analysis and Pressure differential equation,we set up two simples model ,one is about how persons walk and the another one is about how Acceleration influences the hight of coffee when the persons are walking. Secondly ,we combine the two models and then we get the key factors.At last we use Control variable method to explore how the factors influence the result one by one . Key Words：Fluid mechanics、、Pressure differential equation、Acceleration、Coordinate system. 一、Introduction Certificate Authority Cup International Mathematical Contest Modleing () PROBLEM A(MCM): Keep Coffee in the Cup When you wonder with a cup of coffee, the coffee sometimes spill and sometimes not, Why? By chance, some colleagues rush out from office, you need to adjust posture and pace to keep coffee in the cup. Build a mathematical model to find out what factors influence or control the coffee spilling. Now suppose that, a robot walks rapidly with a cup of coffee. Devise a strategy for a robot to control the pace, taking into account random vibration. The Analysis of