对一个古代数学游戏的研究  

Study on an Ancient Mathematical Game

作　　者：赵继伟[1] 陈振勋[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2009年第5期563-566,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10771169)

摘　　要：对一个有趣的古代数学游戏运用公式进行了解释,在此基础上分析了该游戏所依据的数学原理,给出游戏的设计流程图,并对其进行了两种层次的推广.通过归纳法和数理分析的方法,总结出数学游戏中乘数和除数之间隐含的依赖关系.Based on the explanation to the process of an ancient interesting mathematical game by formula,the mathematical principle of this game is analyzed. The designing flowcharts of the game and its generalizations are given, and the game itself is generalized into two levels. The relationship between the multiplier and the divisor in the game is summarized by means of reduction and mathematical analysis.

关 键 词：古代数学游戏 数学原理 流程图 推广 乘数与除数的关系 

分 类 号：O11[理学—数学]