九宫格解的一般结构  

The Structure of Solutions for Squared Figure

作　　者：赵世恩[1] 刘效丽[1] ZHAO Shien;LIU Xiaoli(Elementary Education College,Capital Normal University,Beijing 100048)

机构地区：[1]首都师范大学初等教育学院,北京100048

出　　处：《首都师范大学学报（自然科学版）》2020年第3期8-12,共5页Journal of Capital Normal University：Natural Science Edition

基　　金：国家自然科学基金项目(11401399);北京市自然科学基金项目(1144008)。

摘　　要：有关经典九宫格解法的研究,大多涉及的是九宫格的填法,而没有使用高等数学的工具.本文定义了九宫格的基本概念;建立了九宫格解的2个必要条件,给出了一个简便的九宫格的填法;利用高等代数中的线性方程组理论,得出了九宫格解的一般表达式.本研究属于高等代数中线性方程组理论的应用研究,证明在解决问题时,高等数学是强有力的研究工具.For the solution of the classical squared figures,people have carried out research deeply.However,most of the previous studies were limited to the filling of the squared figures,and did not use the tools of higher mathematics.In this paper,we first give some basic concepts of squared figures.Second,we obtain two necessary conditions of the solutions for Squared Figures.On this basis,we discuss some examples.Especially,for any given nine real numbers,we give a method to fill in the squared figures.Finally,using the theory of linear equations in advanced algebra,we established the general structure of solutions for Squared Figures.These studies can be regarded as the application in higher algebra the theory of linear equations.We can also see that in solving the problem,the advanced mathematics provides a powerful research tool.

关 键 词：九宫格 线性方程组 高等代数 MATLAB 

分 类 号：G623.5[文化科学—教育学]