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"Times New Roman"'>若是，是确定其对应的参数</span><sub><span lang=EN-US><!--[if gte vml 1]><v:shape
id="_x0000_i1049" type="#_x0000_t75" style='width:52.2pt;height:15pt'>
<v:imagedata src="./ex5.files/image045.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=69 height=20
src="./ex5.files/image046.gif" v:shapes="_x0000_i1049"><![endif]></span></sub><span
lang=EN-US>.<o:p></o:p></span></b></p>
<p class=MsoNormal style='margin-left:39.0pt;text-indent:-18.0pt;mso-list:l2 level1 lfo5;
tab-stops:list 39.0pt'><![if !supportLists]><b><span lang=EN-US>(a)<span
style='font:7.0pt "Times New Roman"'> </span></span></b><![endif]><b><span
lang=EN-US>B1:1,2,3;<span style="mso-spacerun: yes"> </span>B2:2,3,4; <span
style="mso-spacerun: yes"> </span>B3:3,4,5; <span style="mso-spacerun:
yes"> </span>B4:1,4,5;<span style="mso-spacerun: yes">
</span>B5:1,2,5.<o:p></o:p></span></b></p>
<p class=MsoNormal style='margin-left:39.0pt;text-indent:-18.0pt;mso-list:l2 level1 lfo5;
tab-stops:list 39.0pt'><![if !supportLists]><b><span lang=EN-US>(b)<span
style='font:7.0pt "Times New Roman"'> </span></span></b><![endif]><b><span
lang=EN-US>B1:1,2,3,4;<span style="mso-spacerun: yes"> </span>B2:1,3,4,5;
<span style="mso-spacerun: yes"> </span>B3:1,2,4,5; <span
style="mso-spacerun: yes"> </span>B4:1,2,3,5;<span style="mso-spacerun:
yes"> </span>B5:2,3,4,5.<o:p></o:p></span></b></p>
<p class=MsoNormal style='margin-left:39.0pt;text-indent:-18.0pt;mso-list:l2 level1 lfo5;
tab-stops:list 39.0pt'><![if !supportLists]><b><span lang=EN-US>(c)<span
style='font:7.0pt "Times New Roman"'> </span></span></b><![endif]><b><span
lang=EN-US>B1:1,2,3;<span style="mso-spacerun: yes">
</span>B2:4,5,6;<span style="mso-spacerun: yes"> </span>B3:7,8,9;<span
style="mso-spacerun: yes"> </span>B4:1,4,7;<span style="mso-spacerun:
yes"> </span>B5:2,5,8;<span style="mso-spacerun: yes">
</span>B6:3,6,9;<o:p></o:p></span></b></p>
<p class=MsoNormal style='margin-left:39.0pt'><b><span lang=EN-US>B7:1,5,9;<span
style="mso-spacerun: yes"> </span>B2:2,6,7;<span style="mso-spacerun:
yes"> </span>B3:3,4,8;<span style="mso-spacerun: yes"> </span>B4:1,6,8;<span
style="mso-spacerun: yes"> </span>B5:2,4,9;<span style="mso-spacerun:
yes"> </span>B6:3,5,7;<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><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:l3 level1 lfo6;
tab-stops:list 18.0pt'><![if !supportLists]><b style='mso-bidi-font-weight:
normal'><span lang=EN-US>(a)<span style='font:7.0pt "Times New Roman"'>
</span></span></b><![endif]><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>不是</span><span
lang=EN-US>BIBD.</span></p>
<p class=MsoNormal style='margin-left:18.0pt;text-indent:-18.0pt;mso-list:l3 level1 lfo6;
tab-stops:list 18.0pt'><![if !supportLists]><b style='mso-bidi-font-weight:
normal'><span lang=EN-US>(b)<span style='font:7.0pt "Times New Roman"'>
</span></span></b><![endif]><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>是</span><span
lang=EN-US>BIBD. <span style='mso-text-raise:-4.0pt'><!--[if gte vml 1]><v:shape
id="_x0000_i1072" type="#_x0000_t75" style='width:139.2pt;height:15pt' o:ole="">
<v:imagedata src="./ex5.files/image047.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=186 height=20
src="./ex5.files/image048.gif" v:shapes="_x0000_i1072"><![endif]></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1072"
DrawAspect="Content" ObjectID="_1069593288">
</o:OLEObject>
</xml><![endif]--></span></p>
<p class=MsoNormal style='margin-left:18.0pt;text-indent:-18.0pt;mso-list:l3 level1 lfo6;
tab-stops:list 18.0pt'><![if !supportLists]><b style='mso-bidi-font-weight:
normal'><span lang=EN-US>(c)<span style='font:7.0pt "Times New Roman"'>
</span></span></b><![endif]><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>是</span><span
lang=EN-US>BIBD. <span style='mso-text-raise:-4.0pt'><!--[if gte vml 1]><v:shape
id="_x0000_i1064" type="#_x0000_t75" style='width:142.8pt;height:15pt' o:ole="">
<v:imagedata src="./ex5.files/image049.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=191 height=20
src="./ex5.files/image050.gif" v:shapes="_x0000_i1064"><![endif]></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1064"
DrawAspect="Content" ObjectID="_1069593289">
</o:OLEObject>
</xml><![endif]--></span></p>
<p class=MsoNormal><b><span lang=EN-US><![if !supportEmptyParas]> <![endif]><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>8．<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"'>有一个</span><span lang=EN-US>BIBD</span></b><b><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>，已知</span><span lang=EN-US>b = 14, k = 3, </span></b><sub><span
lang=EN-US><!--[if gte vml 1]><v:shape id="_x0000_i1050" type="#_x0000_t75"
style='width:30pt;height:13.8pt'>
<v:imagedata src="./ex5.files/image051.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=40 height=18
src="./ex5.files/image052.gif" v:shapes="_x0000_i1050"><![endif]></span></sub><b><span
lang=EN-US>,</span></b><b><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>求</span><span
lang=EN-US>v</span></b><b><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>和</span><span
lang=EN-US>r.<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</span><span
lang=EN-US>BIBD</span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>的必要条件：</span><span lang=EN-US><span
style='mso-text-raise:-3.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1084"
type="#_x0000_t75" style='width:37.8pt;height:13.8pt' o:ole="">
<v:imagedata src="./ex5.files/image053.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=51 height=19
src="./ex5.files/image054.gif" v:shapes="_x0000_i1084"><![endif]></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1084"
DrawAspect="Content" ObjectID="_1069593290">
</o:OLEObject>
</xml><![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><span style='mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
id="_x0000_i1083" type="#_x0000_t75" style='width:90pt;height:16.2pt' o:ole="">
<v:imagedata src="./ex5.files/image055.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=120 height=21
src="./ex5.files/image056.gif" v:shapes="_x0000_i1083"><![endif]></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1083"
DrawAspect="Content" ObjectID="_1069593291">
</o:OLEObject>
</xml><![endif]--></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"'>得到</span><span lang=EN-US>42 = vr , 2r
= 2(v-1), </span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>所以</span> <span lang=EN-US>v = 7,r =
6.</span></p>
<p class=MsoNormal><b><span lang=EN-US><![if !supportEmptyParas]> <![endif]><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>9．<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"'>有一个</span><span lang=EN-US>BIBD</span></b><b><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>，已知</span><span lang=EN-US>v = 15, k = 10, <sub><!--[if gte vml 1]><v:shape
id="_x0000_i1051" type="#_x0000_t75" style='width:30pt;height:13.8pt'>
<v:imagedata src="./ex5.files/image057.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=40 height=19
src="./ex5.files/image058.gif" v:shapes="_x0000_i1051"><![endif]></sub>,</span></b><b><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>求</span><span lang=EN-US>b</span></b><b><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>和</span><span lang=EN-US>r.<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"'>同上，我们有</span><span
lang=EN-US>10b = 15r , 9r = 9*14, </span><span style='font-family:宋体;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>所以</span><span
lang=EN-US>b = 21, r = 14.</span></p>
<p class=MsoNormal><span lang=EN-US><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
<p class=MsoNormal><b><span lang=EN-US><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></b></p>
<p class=MsoNormal><b><span lang=EN-US>10. </span></b><b><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>已知下列区组：</span><span lang=EN-US><o:p></o:p></span></b></p>
<p class=MsoNormal style='text-indent:21.0pt'><b><span lang=EN-US>B1:<span
style="mso-spacerun: yes"> </span>1,2,3;<span style="mso-spacerun:
yes"> </span>B2:<span style="mso-spacerun: yes">
</span>2,3,4;<span style="mso-spacerun: yes"> </span>B3:<span
style="mso-spacerun: yes"> </span>3,4,1;<span style="mso-spacerun:
yes"> </span>B4:<span style="mso-spacerun: yes">
</span>4,1,2.<o:p></o:p></span></b></p>
<p class=MsoNormal style='text-indent:21.0pt'><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>AA<sup>T</sup>,</span></b><b><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>A</span></b><b><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>是该区组的区组矩阵。</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</span><span
lang=EN-US>p254</span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>的定理：</span><span lang=EN-US><span
style='mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1093"
type="#_x0000_t75" style='width:103.2pt;height:18pt' o:ole="">
<v:imagedata src="./ex5.files/image059.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=138 height=24
src="./ex5.files/image060.gif" v:shapes="_x0000_i1093"><![endif]></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1093"
DrawAspect="Content" ObjectID="_1069593292">
</o:OLEObject>
</xml><![endif]--></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"'>在本题中，</span><span lang=EN-US><span
style='mso-text-raise:-4.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1098"
type="#_x0000_t75" style='width:55.8pt;height:15pt' o:ole="">
<v:imagedata src="./ex5.files/image061.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=74 height=20
src="./ex5.files/image062.gif" v:shapes="_x0000_i1098"><![endif]></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1098"
DrawAspect="Content" ObjectID="_1069593293">
</o:OLEObject>
</xml><![endif]--></span><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>，所以</span><span
lang=EN-US><span style='mso-text-raise:-33.0pt'><!--[if gte vml 1]><v:shape
id="_x0000_i1104" type="#_x0000_t75" style='width:151.2pt;height:1in' o:ole="">
<v:imagedata src="./ex5.files/image063.wmz" o:title=""/>
</v:shape><![endif]--><![if !vml]><img width=201 height=96
src="./ex5.files/image064.gif" v:shapes="_x0000_i1104"><![endif]></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1104"
DrawAspect="Content" ObjectID="_1069593294">
</o:OLEObject>
</xml><![endif]--></span></p>
<p class=MsoNormal><span lang=EN-US><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></p>
<p class=MsoNormal><b><span lang=EN-US><![if !supportEmptyParas]> <![endif]><o:p></o:p></span></b></p>
<p class=MsoNormal><b><span lang=EN-US>11</span></b><b><span style='font-family:
宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>．已知下列区组：</span><span
lang=EN-US><o:p></o:p></span></b></p>
<p class=MsoNormal style='text-indent:21.0pt'><b><span lang=EN-US>B1:<span
style="mso-spacerun: yes"> </span>2,4,6,7;<span style="mso-spacerun:
yes"> </span>B2:<span style="mso-spacerun: yes">
</span>1,3,6,7;<span style="mso-spacerun: yes"> </span>B3:<span
style="mso-spacerun: yes"> </span>3,4,5,7;<span style="mso-spacerun:
yes"> </span><span style="mso-spacerun: yes"> </span>B4:<span
style="mso-spacerun: yes"> </span>1,2,5,7;<o:p></o:p></span></b></p>
<p class=MsoNormal style='text-indent:21.0pt'><b><span lang=EN-US>B5:<span
style="mso-spacerun: yes"> </span>2,3,5,6;<span style="mso-spacerun:
yes"> </span>B6:<span style="mso-spacerun: yes">
</span>1,4,5,6;<span style="mso-spacerun: yes"> </span>B7:<span
style="mso-spacerun: yes"> </span>1,2,3,4.<o:p></o:p></span></b></p>
<p class=MsoNormal style='text-indent:21.0pt'><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>AA<sup>T</sup>,</span></b><b><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>A</span></b><b><span style='font-family:宋体;mso-ascii-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>是该区组的区组矩阵。</span><span
lang=EN-US><o:p></o:p></span></b></p>
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