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趣味数学

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发表于 2004-7-28 01:17:48 | 显示全部楼层 |阅读模式
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  等级:新手上路
  文章:68
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  注册:2003-9-6

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<TD width=80>楼主 </TD></TR>
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<TD  width="100%"><IMG align=absMiddle border=0 src="http://www.shumo.com/bbs/Skins/Default/topicface/face5.gif"> <B>趣味数学——谁能做这题?</B>

<FONT size=3>谁能做这题?</FONT>

                     看过电视<<射雕英雄传&gt;&gt;的同学都知道,有这么一个幻方(如下图),它无论横着加,竖着加还是斜着加,总是等于15,聪明的英姑花了好几年的时间才得到这一结论,却没有想到桃花岛的黄老邪早就将它编成口诀“二四为肩,五居中央,填九履一“并创造出”桃花阵”。现给你1至16这16个自然数,请你构造出一个类似上图的幻方。(综合)

2 9 4
7 5 3
6 1 8


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相知在数模,结为朋友,这是人生的一笔财富!
相约在数模,共同努力,这是提高能力的一条捷径!                        
    ------------------------ 阿能

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 楼主| 发表于 2004-7-28 01:23:51 | 显示全部楼层
<> 我试试   我的QQ155267584    愿交天下友!<p></p></P><>3*3<p></p></P><TABLE border=1 cellPadding=0 cellSpacing=0 style="BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; BORDER-LEFT: medium none; BORDER-RIGHT: medium none; BORDER-TOP: medium none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt"><TR><TD windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm; WIDTH: 23.4pt" vAlign=top width=31>< auto; mso-margin-bottom-alt: auto">4<p></p></P></TD><TD windowtext 0.5pt solid; BORDER-LEFT: medium none; BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm; WIDTH: 27pt; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=36><P auto; mso-margin-bottom-alt: auto">9<p></p></P></TD><TD windowtext 0.5pt solid; 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发表于 2004-7-28 02:41:58 | 显示全部楼层
<>哎呀 在matlab中运行magic()</P><>命令就可以解决了! 呵呵 </P><>LOOK:</P><P>&gt; magic(8)</P><P>ans =</P><P>    64     2     3    61    60     6     7    57
     9    55    54    12    13    51    50    16
    17    47    46    20    21    43    42    24
    40    26    27    37    36    30    31    33
    32    34    35    29    28    38    39    25
    41    23    22    44    45    19    18    48
    49    15    14    52    53    11    10    56
     8    58    59     5     4    62    63     1</P><P>&gt;&gt; magic(9)</P><P>ans =</P><P>    47    58    69    80     1    12    23    34    45
    57    68    79     9    11    22    33    44    46
    67    78     8    10    21    32    43    54    56
    77     7    18    20    31    42    53    55    66
     6    17    19    30    41    52    63    65    76
    16    27    29    40    51    62    64    75     5
    26    28    39    50    61    72    74     4    15
    36    38    49    60    71    73     3    14    25
    37    48    59    70    81     2    13    24    35
</P>
发表于 2004-8-20 19:33:53 | 显示全部楼层
<>这是魔方阵,有算法的呀</P><>参见谭浩强《c语言教程》习题里有。</P>
发表于 2004-8-21 00:19:55 | 显示全部楼层
是的在一个网站:<a href="http://www.cstduyhome.com" target="_blank" >www.cstduyhome.com</A>
发表于 2004-8-21 00:25:13 | 显示全部楼层
<>a=magic(4)</P><>a =</P><>    16     2     3    13
     5    11    10     8
     9     7     6    12
     4    14    15     1</P><P>a=magic(4)</P><P>a =</P><P>    16     2     3    13
     5    11    10     8
     9     7     6    12
     4    14    15     1</P><P>这样不就可以了吗?</P>
发表于 2004-8-21 02:39:46 | 显示全部楼层
这个问题应该给初中生
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