弹珠游戏的数学建模摘要 随着时代的发展，人们日益注重儿童的培养，各种开发大脑的益智游戏应运而生，弹珠机便是其中之一，本文所描述的弹珠机是一种类似物理弹球类的实体游戏机器，以能量守恒、概率论和数理统计为理论基础建立数学模型进行研究。通过反复多次对实体机器的体验操作并记录数据作为研究方法，研究对弹珠机施加的初始力的大小与弹珠最终掉落洞口位置之间的关系，分析运动过程中弹珠发生碰撞产生的能量损耗以及弹珠以不同方式从钉板掉落等因素对实验产生的影响。最终达成通过调整初始力来控制弹珠落点的实验目的。弹珠游戏对于开发儿童大脑，锻炼孩子手脑并用的能力有着重要的意义，让孩子在游戏娱乐的同时感受到数学之美，物理之美。关键词 能量守恒 概率论 数理统计 能量损耗Mathematical modeling of pinball gameAbstract Along with the development of The Times, people increasingly pay attention to the cultivation of the children, all kinds of development of the brain puzzle arises at the historic moment, pinball machine is one of them, this article describes the pinball machine is a kind of similar physical entities play ball game machine, to conservation of energy, the theoretical basis of probability theory and mathematical statistics, mathematical model is established for research. Through repeated many times on the real experience of the machine operation and record data as the research method, research the size of the initial force toward a pinball machine with marbles eventually drop the hole location, the relationship between the movement process shot bead collision energy loss and marbles in a different way from the nail plate dropped on the effect of the experiment. Finally, the experimental goal of controlling the pinball drop point by adjusting the initial force is achieved. Pinball games are of great significance to the development of children's brain and the exercise of their ability to use both hands and brai...
