再论《巧排九方》——一个传统的数字推理趣题之详解及其推广  

An Interesting and Ingenious Method to do a NxN Number Squar Matrix——The Second Paper of the Series Papers

作　　者：何文学[1] 曾宪章[1] 肖调生[1] 王爱民[1] 

机构地区：[1]湖南科技职业学院,湖南长沙410118

出　　处：《湖南第一师范学报》2007年第3期168-172,共5页Journal of First Teachers College of Hunan

基　　金：湖南省教育厅科技处立项课题"少年儿童数字益智教育玩具"中部分题材的科学论文

摘　　要：对《巧排九方》一文中,求解n2个连续整数的n×n方阵排列问题的图解法之正确性进行了严密的证明,并对当n=4k+2时(k为≥0的整数),如何排列成n×n方阵,并使其每行数之和、每列数之和及对角线上的数之和都相等的数学问题进行了求解。In this paper,the method to do the NxN number squat matrix in first paper is proved to be right while N =4k ＋ 1 or N = 4k ＋ 3 or N = 4k ＋ 4 （ when k is positive integer） and the method to do the NxN number squar matrix which have N^2 continuously integer numbers and the sum of its every llne, the sum of its every row, the sum of its every oblique line is all equal is introduced while N =4k ＋2 （when k is positive integer）.

关 键 词：方阵 证明 推广 

分 类 号：O121.3[理学—数学]