解‘百鸡问题’的盈亏调整法

Method of Modulation Profit and Loss for Solution of the Problem of a Hundred Chickens

‘百鸡问题’数学史家,都将它归之为不定方程组求解问题[2]。主要将‘百鸡问题’作为多级的盈亏调解问题来处理,显现出对此题的原始地处理过程,从方法上看,此题可作盈亏问题的延伸和应用,是分析算术问题的一个基本方法,是用组合数学的方法进行探讨的。

Historian of mathematics classified the problem of a hundred chickens to the solution of indefinite equation. Textbooks of primary and secondary school also embody the problem as a classical example. It put forward that to solve this problem as a multilevel profit and loss intermediation problem. The process of showed is original and natural. Also, the problem can be regard as an extensity and application of the profit and loss problems. It＇ s a basic method of arithmetic problems analYSis which is discussed by eombinatory ways and is beneficial to diathesis education.