函数的单调性和极限在淋雨模型中的应用

Application of Monotonicity of Function and Limit in Drenching Rain Model

通过建立数学模型,对一些现实生活中习以为常的问题进行了定量分析,往往可以使我们更好地把握事物的规律和本质.人们通常认为在雨中的行走速度越快淋的雨就会越少,然而本文利用函数的单调性和极限所建立的淋雨模型讨论行走速度快慢对淋雨量的影响后发现,在不同的情形中,行走速度与淋雨量之间并不都是单调递减的关系,有时也可能是单调递增的关系.

Through the establishment of mathematical model, we can often grasp the laws and the essence of things better with quantitative analysis of those matters which are accustomed to us in real life. People usually think that the more quickly one runs in rain, the little rain he will be drenched. This paper discusses the influence of running speed to the total amount of drenching rain in drenching rain model, which established with the monotonieity and limit of function, we find that the relation between running speed and the total amount of drenching rain does not always monotonic progressively increase under different conditions. Sometimes it can also monotonic progressively decrease.