帮教一个数学题"对称幻方"将1 1 1 2 2 2 3 3 3九个数字分别填入一个3X3的方格,成一个三阶幻方(各行各列

家盛2022-10-04 11:39:541条回答

帮教一个数学题"对称幻方"
将1 1 1 2 2 2 3 3 3九个数字分别填入一个3X3的方格,成一个三阶幻方(各行各列和各条对角线上数字的和都相等).若将幻方块沿某条对称轴对折,对称位置的数字相同,则称这个幻方为"对称幻方".(1)试做出一个对称幻方;(2)这样的幻方能否同时有两条对称轴?试一试,能够的话给出一个例子;不能够的话作出简单说明.

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鹰哥 共回答了27个问题 | 采纳率92.6%
(1)132
321
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对称轴:
.
(2)不能,正方形一共4条对角线,两两配对,发现无论哪种都需要至少4个数字相同,而现在只有3个相同数字,所以不能.
1年前

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