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<p class=MsoNormal><b><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>习题</span><span lang=EN-US><o:p></o:p></span></b></p>
<p class=MsoNormal style='margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo2;
tab-stops:list 18.0pt'><![if !supportLists]><b><span lang=EN-US>1.<span
style='font:7.0pt "Times New Roman"'> </span></span></b><![endif]><b><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>求一对</span> <sub><span lang=EN-US><!--[if gte vml 1]><v:shapetype
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</v:shape><![endif]--><![if !vml]><img width=34 height=17
src="./ex5.files/image002.gif" v:shapes="_x0000_i1025"><![endif]></span></sub></b><b><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>的正交拉丁方。</span><span lang=EN-US><o:p></o:p></span></b></p>
<p class=MsoNormal><b><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>解:</span></b><span style='font-family:
宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>利用书上第四节的定理,很容易构造出正交拉丁方。</span></p>
<p class=MsoNormal><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>令</span> <span lang=EN-US
style='mso-text-raise:-8.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1026"
type="#_x0000_t75" style='width:55.2pt;height:19.8pt'>
<v:imagedata src="./ex5.files/image003.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=73 height=27
src="./ex5.files/image004.gif" v:shapes="_x0000_i1026"><![endif]></span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>,</span><span lang=EN-US style='mso-text-raise:-8.0pt'><!--[if gte vml 1]><v:shape
id="_x0000_i1027" type="#_x0000_t75" style='width:54pt;height:19.8pt'>
<v:imagedata src="./ex5.files/image005.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=72 height=27
src="./ex5.files/image006.gif" v:shapes="_x0000_i1027"><![endif]></span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>,其中</span><span lang=EN-US style='mso-text-raise:-7.0pt'><!--[if gte vml 1]><v:shape
id="_x0000_i1028" type="#_x0000_t75" style='width:87pt;height:19.2pt'>
<v:imagedata src="./ex5.files/image007.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=116 height=26
src="./ex5.files/image008.gif" v:shapes="_x0000_i1028"><![endif]></span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>,</span><span lang=EN-US style='mso-text-raise:-7.0pt'><!--[if gte vml 1]><v:shape
id="_x0000_i1029" type="#_x0000_t75" style='width:91.8pt;height:19.2pt'>
<v:imagedata src="./ex5.files/image009.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=123 height=26
src="./ex5.files/image010.gif" v:shapes="_x0000_i1029"><![endif]></span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>。</span></p>
<p class=MsoNormal><span lang=EN-US><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
<p class=MsoNormal style='margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo2;
tab-stops:list 18.0pt'><![if !supportLists]><b><span lang=EN-US>2.<span
style='font:7.0pt "Times New Roman"'> </span></span></b><![endif]><b><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>试求</span><span lang=EN-US>3</span></b><b><span
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