这里有很多数学建模题目，希望感兴趣的朋友过来捧场，高手请留下你的思路！

zheng087 · 发表于 2004-7-3 16:43:33

<

>1．熊数量问题
<

> 已知一个国家公园能够维持100头灰熊的生存，但不会更多。公园内现有10头。我们用r=0.001的逻辑斯谛微分方程为熊的数量建模。
<

> （1）画出并描述微分方程的斜率场。
 （2）用步长h=1的Euler法估计20年内的数量。
 （3）求对于灰熊数量的逻辑斯谛增长的解析解p(t)并且画出它的图像。
 （4）何时灰熊数量达到50？
2．花瓶体积的计算
 我们只想用一个计算器、一根绳子和一把尺子来估算一个花瓶的体积（旋转体的体积）。我们测量花瓶的高是6cm，然后我们用绳子和尺子从上到下每隔0.5cm测量一次花瓶的圆周长，并把计算结果列表如下：

<TABLE cellSpacing=0 cellPadding=0 border=1>

<TR>
<TD vAlign=top width=43>
周长</TD>
<TD vAlign=top width=39>
5.4</TD>
<TD vAlign=top width=39>
4.5</TD>
<TD vAlign=top width=39>
4.4</TD>
<TD vAlign=top width=39>
5.1</TD>
<TD vAlign=top width=39>
6.3</TD>
<TD vAlign=top width=39>
7.8</TD>
<TD vAlign=top width=39>
9.4</TD>
<TD vAlign=top width=39>
10.8</TD>
<TD vAlign=top width=39>
11.6</TD>
<TD vAlign=top width=39>
11.6</TD>
<TD vAlign=top width=39>
10.8</TD>
<TD vAlign=top width=39>
9.0</TD>
<TD vAlign=top width=39>
6.3</TD></TR></TABLE>
 请你用三种不同的方法估算花瓶的体积。
 
3．选课策略
 某学校规定，运筹学专业的学生毕业时必须至少学习过两门数学课，三门运筹学课和两门计算机课。这些课程的编号、名称、学分、所属类别和先修课程要求如表所示。那么，毕业时学生最少可以学习这些课程中的哪些课程？
 如果某个学生既希望选修课程的数量少，又希望所获的学分多，他可以选修哪些课程？

<TABLE cellSpacing=0 cellPadding=0 border=1>

<TR>
<TD vAlign=top width=79>
课程编号</TD>
<TD vAlign=top width=141>
课程名称</TD>
<TD vAlign=top width=51>
学分</TD>
<TD vAlign=top width=132>
所属类别</TD>
<TD vAlign=top width=148>
先选课程要求</TD></TR>
<TR>
<TD vAlign=top width=79>
1</TD>
<TD vAlign=top width=141>
微积分</TD>
<TD vAlign=top width=51>
5</TD>
<TD vAlign=top width=132>
数学</TD>
<TD vAlign=top width=148>
 </TD></TR>
<TR>
<TD vAlign=top width=79>
2</TD>
<TD vAlign=top width=141>
线性代数</TD>
<TD vAlign=top width=51>
4</TD>
<TD vAlign=top width=132>
数学</TD>
<TD vAlign=top width=148>
 </TD></TR>
<TR>
<TD vAlign=top width=79>
3</TD>
<TD vAlign=top width=141>
最优化方法</TD>
<TD vAlign=top width=51>
4</TD>
<TD vAlign=top width=132>
数学；运筹学</TD>
<TD vAlign=top width=148>
微积分；线性代数</TD></TR>
<TR>
<TD vAlign=top width=79>
4</TD>
<TD vAlign=top width=141>
数据结构</TD>
<TD vAlign=top width=51>
3</TD>
<TD vAlign=top width=132>
数学；计算机</TD>
<TD vAlign=top width=148>
计算机编程</TD></TR>
<TR>
<TD vAlign=top width=79>
5</TD>
<TD vAlign=top width=141>
应用统计</TD>
<TD vAlign=top width=51>
4</TD>
<TD vAlign=top width=132>
数学；运筹学</TD>
<TD vAlign=top width=148>
微积分；线性代数</TD></TR>
<TR>
<TD vAlign=top width=79>
6</TD>
<TD vAlign=top width=141>
计算机模拟</TD>
<TD vAlign=top width=51>
3</TD>
<TD vAlign=top width=132>
计算机，运筹学</TD>
<TD vAlign=top width=148>
计算机编程</TD></TR>
<TR>
<TD vAlign=top width=79>
7</TD>
<TD vAlign=top width=141>
计算机编程</TD>
<TD vAlign=top width=51>
2</TD>
<TD vAlign=top width=132>
计算机</TD>
<TD vAlign=top width=148>
 </TD></TR>
<TR>
<TD vAlign=top width=79>
8</TD>
<TD vAlign=top width=141>
预测理论</TD>
<TD vAlign=top width=51>
2</TD>
<TD vAlign=top width=132>
运筹学</TD>
<TD vAlign=top width=148>
应用统计</TD></TR>
<TR>
<TD vAlign=top width=79>
9</TD>
<TD vAlign=top width=141>
数学实验</TD>
<TD vAlign=top width=51>
2</TD>
<TD vAlign=top width=132>
运筹学；计算机</TD>
<TD vAlign=top width=148>
微积分；线性代数</TD></TR></TABLE>[em06]

zheng087 · 发表于 2004-7-3 16:44:29

<

0cm 0cm 0pt"> <

0cm 0cm 0pt">5．招聘保姆问题<

0cm 0cm 0pt; TEXT-INDENT: 21pt; mso-char-indent-count: 2.0; mso-char-indent-size: 10.5pt">一家保姆服务公司专门向顾主提供保姆服务。根据统计，下年的需求是：春季6000人日，夏季7500人日，秋季5500人日，冬季9000人日。公司新招聘的保姆必须经过5天的培训才能上岗。每个保姆每季度工作（新保姆包括培训）65天。保姆从该公司而不是从顾主那里得到报酬，每人每月工资800元。春季开始时公司拥有120名保姆，在每个季度结束时，将有15%的保姆自动离职 （1）如果公司不允许解雇保姆，请你为公司制定下一年的招聘计划；哪些季度的增加不影响招聘计划？可以增加多少？ （2）如果公司允许解雇保姆，请你为公司制定下一年的招聘计划。

zheng087 · 发表于 2004-7-3 16:45:41

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0cm 0cm 0pt">6．投资问题<

0cm 0cm 0pt; TEXT-INDENT: 21pt; mso-char-indent-count: 2.0; mso-char-indent-size: 10.5pt">某公司有4万元，可向A,B,C三个项目投资，已知各项目投资额的相应效益值如下表，问如何分配资金可使总效益最大。<TABLE medium none; BORDER-TOP: medium none; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt" cellSpacing=0 cellPadding=0 border=1><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 75.5pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" vAlign=top width=101 rowSpan=2><

0cm 0cm 0pt; TEXT-ALIGN: center" align=center>项目 </TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 377.55pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=503 colSpan=5>投资额（万元）</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 75.5pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=101>0</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 75.5pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=101>1</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 75.5pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=101>2</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 75.5pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=101>3</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 75.55pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=101>4</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 75.5pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=101>ABC</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 75.5pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=101>000</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 75.5pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=101>414264</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 75.5pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=101>485068</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 75.5pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=101>606078</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 75.55pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=101>666676</TD></TR></TABLE>

zheng087 · 发表于 2004-7-3 16:46:01

<

0cm 0cm 0pt">7．人才招聘问题：<

0cm 0cm 0pt"> 为了更好地引进优秀人才，需要对应招人员的情况进行综合考虑，并量化打分。考核的内容分为：知识方面（包括：语文知识，外语知识，国内外政治实事知识）；能力方面（包括：计算机操作能力，公关能力）；表现方面（包括：容貌与风度，体形高矮与肥瘦，音色）。<

0cm 0cm 0pt">（1）利用层次分析法，建立人才招聘的层次结构模型，给出比较判别矩阵，并进行一致性检验，计算权向量（2）根据上述计算结果，建立人才招聘综合考核指标体系；（3）下表是甲乙丙三人的评分<TABLE medium none; BORDER-TOP: medium none; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt" cellSpacing=0 cellPadding=0 border=1><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" vAlign=top width=31> </TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=48>语文</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=48>外语</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 54pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=72>政治实事</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=60>计算机</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=48>公关</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 72pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=96>容貌与风度</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 81pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=108>高矮与肥瘦</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 35.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=48>音色</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>甲</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 54pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=72>5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=60>5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>4</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 72pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=96>3</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 81pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=108>4</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 35.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>5</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>乙</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>3</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>2</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 54pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=72>4</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=60>5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 72pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=96>5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 81pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=108>4</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 35.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>3</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>丙</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>3</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>3</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 54pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=72>4</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 45pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=60>2</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 72pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=96>5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 81pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=108>5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 35.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=48>4</TD></TR></TABLE>请按指标体系分别求出综合分，并根据综合分确定最先录用谁。

zheng087 · 发表于 2004-7-3 16:46:28

<

0cm 0cm 0pt">8．足球比赛的排名问题<

0cm 0cm 0pt; TEXT-INDENT: 21.75pt">下表给出12个足球队在过去一年中的比赛成绩，试设计一个依据这些成绩排出诸队名次的算法，并给出该算法排名的结果。<TABLE medium none; BORDER-TOP: medium none; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt" cellSpacing=0 cellPadding=0 border=1><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" vAlign=top width=31><

0cm 0cm 0pt"> </TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=528>T1 T2 T3 T4 T5 T6 T7 T8 T9 T10 T11 T12</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T1</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528>0:1 2:2 2:0 3:1 1:0 0:1 0:2 1:1 1:1x 1:0 1:0 3:1 1:3 2:1 4:0 1:1 x x 0:0 0:2 1:0</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T2</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528> 2:0 0:0 1:1 2:1 1:1 0:0 2:0 0:2x 0:1 2:0 1:3 0:0</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T3</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528> 4:2 2:1 3:0 1:0 0:1 1:0 0:1 x 1:1 x x 0:0</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T4</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528> 2:3 0:1 0:5 2:1 0:1 0:1 x 2:3 1:3 0:0 1:1 x x</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528>0:1 1:0 0:1 x x x x x 1:2 1:1</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T6</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528> x x x x x x x</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T7</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528> 1:0 2:1 3:1 3:1 2:0x 2:0 3:0 3:0 0:0 1:0 2:0</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T8</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528> 0:1 1:1 3:1 0:0x 1:2 1:0 2:0 0:1</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T9</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528> 3:0 1:0 1:0 x 1:0 0:0</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T10</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528> x 1:0 2:0</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T11</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528>1:1 x 1:2 1:1</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 23.4pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=31>T12</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 395.65pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=528> x</TD></TR></TABLE>

zheng087 · 发表于 2004-7-3 16:46:47

<

0cm 0cm 0pt">9．两辆平板车的装载问题<

0cm 0cm 0pt; TEXT-INDENT: 21pt">有两辆长10.2米，载重40吨的铁路平板车，要装载7种不同规格的货物。这7种货物的厚度、重量、库存量如下表：<TABLE medium none; BORDER-TOP: medium none; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-table-layout-alt: fixed" cellSpacing=0 cellPadding=0 border=1><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 127.6pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" vAlign=top width=170><

0cm 0cm 0pt">箱类型</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=49>1</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=49>2</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=49>3</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=49>4</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=49>5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=49>6</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=49>7</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 127.6pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=170>厚度</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>48.7</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>52</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>61.3</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>72</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>48.7</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>52</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>64</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 127.6pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=170>重量</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>2</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>3</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>1</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>0.5</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>4</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>2</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>1</TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 127.6pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=170>库存量</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>8</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>7</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>9</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>6</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>6</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>4</TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 36.85pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=49>8</TD></TR></TABLE>若各种箱子的高度和宽度均符合铁路运输的标准（不妨设它们的宽度和高度均为相同的），在每辆车上装载的货物箱的厚度和不超过10.2米，总重量不超过40吨的前提下，应如何装载，使平板车浪费的空间最小？当地铁路部门还有一个附加规定：第5、6、7三种箱子装车的厚度和不得超过302.7厘米。

zheng087 · 发表于 2004-7-3 16:47:45

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0cm 0cm 0pt">10．万有引力问题<

0cm 0cm 0pt"> 伽里略在比萨斜塔测定“自由落体”的速度，归纳出反映地球引力的“自由落体的等加速定律”。开普勒通过对火星的仔细研究以及对当时已经发现的太阳六大行星的轨道的综合分析，总结出著名的行星运动三定律：<

0cm 0cm 0pt; TEXT-INDENT: 21pt">第一定律：行星绕太阳运动的轨道是椭圆，太阳位于椭圆的一个焦点上。第二定律：太阳和每个行星连接而成的矢径，随着行星的运动在单位时间内扫过的面积（称为面积速率）恒为常数。第三定律：太阳系中各行星的运动周期的平方与轨道长半轴的立方之比对个行星相同。牛顿认为一切运动都有其力学原理，行星运动也不例外，牛顿在开普勒行星运动三定律的基础上运用微积分推导出万有引力定律。现在请你根据牛顿第二定律和开普勒行星运动三定律推导万有引力定律。其要求如下：⑴以太阳为极点建立极坐标系（r，θ），用矢径<v:shapetype> <v:stroke joinstyle="miter"></v:stroke><v:formulas><v:f eqn="if lineDrawn pixelLineWidth 0"></v:f><v:f eqn="sum @0 1 0"></v:f><v:f eqn="sum 0 0 @1"></v:f><v:f eqn="prod @2 1 2"></v:f><v:f eqn="prod @3 21600 pixelWidth"></v:f><v:f eqn="prod @3 21600 pixelHeight"></v:f><v:f eqn="sum @0 0 1"></v:f><v:f eqn="prod @6 1 2"></v:f><v:f eqn="prod @7 21600 pixelWidth"></v:f><v:f eqn="sum @8 21600 0"></v:f><v:f eqn="prod @7 21600 pixelHeight"></v:f><v:f eqn="sum @10 21600 0"></v:f></v:formulas><v:path connecttype="rect" gradientshapeok="t" extrusionok="f"></v:path><lock aspectratio="t" v:ext="edit"></lock></v:shapetype><v:shape><v:imagedata></v:imagedata></v:shape>表示行星的位置。将开普勒三定律用数学关系式表示出来。⑵推导引力的方向；⑶推导万有引力定律。

zheng087 · 发表于 2004-7-3 16:48:10

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0cm 0cm 0pt">11．评定奖学金问题<

0cm 0cm 0pt"> 为了鼓励先进，对于学习优异、各方面表现突出的学生，学院要奖励给奖学金，以资鼓励。假定奖学金分为三等，评定奖学金时综合考虑：学习成绩、综合表现、社会工作等方面因素，结合学分制，还要考虑所取得的学分等因素。请你设计一种评定奖学金的方法。<

0cm 0cm 0pt"> 12．竞赛评卷问题在确定像数学建模竞赛这种形式的比赛的优胜者时，常常要评阅大量的答卷，比如说，有P=100份答卷。一个由J位评阅人组成的小组来完成评阅任务，基于竞赛资金对能够聘请的评阅人数量和评阅时间的限制，如果P=100，通常J=8。理想的情况是每个评阅人看所有的答卷，并将它们一一排序，但这种方法工作量太大。另一种方法是进行一系列的筛选，在一次筛选中每个评阅人只看一定数量的答卷，并给出分数。为了减少所看答卷的数量，考虑如下的筛选模式：如果答卷是被排序，则在每个评阅人给出的排序中排在最下面的30%答卷被筛除；如果答卷被打分（比如说从1分到100分），则某个截止分数线以下的答卷被筛除。这样，通过筛选的答卷重新放在一起返回给评阅小组，重复上述过程。人们关注的是，每个评阅人看的答卷要显著地小于P。评阅过程直到剩下W份答卷时停止，这些就是优胜者。当P=100时通常取W=3。 你的任务时利用排序、打分及其他方法的组合，确定一种筛选模式，按照这种模式，最后选中的W份答卷只能来自“最好的”2W份答卷（所谓“最好的”是指，我们假定存在着一种评阅人一致赞成的答卷的绝对排序）。例如，用你给出的方法得到的最后3份答卷将全部包括在“最好的”6份答卷中。在所有满足上述要求的方法中，希望你能给出使每个评阅人所看答卷份数最少的一种方法。 注意在打分时存在系统偏差的可能性。例如，对于一批答卷，一位评阅人平均给70分，而另一位可能平均给80分。在你给出的模式中如何调节尺度来适应竞赛参数（P，J和W）的变化？

zheng087 · 发表于 2004-7-3 16:49:29

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0cm 0cm 0pt">13．夫妻过河问题<

0cm 0cm 0pt"> 有5对夫妻要过河，船至多可载3人，条件是任一女子不能在其丈夫不在场的情况下与另外的男子在一起，问如何安排这５对夫妻过河？<

0cm 0cm 0pt"> 14．生小兔问题 兔子出生后两个月就能生小兔，若每次不多不少恰好生一对（一雌一雄），假如养了出生的小兔一对，试问一年后共有多少对小兔（如果生下的小兔都不死的话）？ 一般地，设第n个月兔子的对数为Fn，请给出Fn所满足的递推规律，研究Fn的性质，并用MATLAB编写一个函数M文件计算Fn。 15．医院选址问题下图是一个新建居民小区的示意图。<v:shapetype><v:stroke joinstyle="miter"></v:stroke><v:path connecttype="rect" gradientshapeok="t"></v:path></v:shapetype><v:shape><v:textbox style="LAYOUT-FLOW: vertical-ideographic"></v:textbox></v:shape><v:shape><v:path arrowok="t"></v:path></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>6</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>1</DIV></TD></TR></TABLE></v:textbox></v:shape><v:group><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>3</DIV></TD></TR></TABLE></v:textbox></v:shape><v:group><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:line></v:line><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>7</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v1</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v2</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v3</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v4</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v5</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v6</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v7</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v8</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v9</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v10</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>9</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>1</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>3</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>2</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>8</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>9</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>5</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>5</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>1</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>4</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>8</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>2</DIV></TD></TR></TABLE></v:textbox></v:shape></v:group></v:group><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>1</DIV></TD></TR></TABLE></v:textbox></v:shape><img> <v:shape><v:imagedata></v:imagedata></v:shape>，<v:shape> <v:imagedata></v:imagedata></v:shape>，…，<v:shape> <v:imagedata></v:imagedata></v:shape>表示各居民点，边上的数表示两居民点间的距离。现在需要我们考虑的问题是在这十个居民点中，何处作为新建医院的理想地址。

zheng087 · 发表于 2004-7-3 16:49:31

<

0cm 0cm 0pt">13．夫妻过河问题<

0cm 0cm 0pt"> 有5对夫妻要过河，船至多可载3人，条件是任一女子不能在其丈夫不在场的情况下与另外的男子在一起，问如何安排这５对夫妻过河？<

0cm 0cm 0pt"> 14．生小兔问题 兔子出生后两个月就能生小兔，若每次不多不少恰好生一对（一雌一雄），假如养了出生的小兔一对，试问一年后共有多少对小兔（如果生下的小兔都不死的话）？ 一般地，设第n个月兔子的对数为Fn，请给出Fn所满足的递推规律，研究Fn的性质，并用MATLAB编写一个函数M文件计算Fn。 15．医院选址问题下图是一个新建居民小区的示意图。<v:shapetype><v:stroke joinstyle="miter"></v:stroke><v:path connecttype="rect" gradientshapeok="t"></v:path></v:shapetype><v:shape><v:textbox style="LAYOUT-FLOW: vertical-ideographic"></v:textbox></v:shape><v:shape><v:path arrowok="t"></v:path></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>6</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>1</DIV></TD></TR></TABLE></v:textbox></v:shape><v:group><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>3</DIV></TD></TR></TABLE></v:textbox></v:shape><v:group><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:polyline><v:path arrowok="t"></v:path></v:polyline><v:line></v:line><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>7</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v1</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v2</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v3</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v4</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v5</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v6</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v7</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v8</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v9</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>v10</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>9</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>1</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>3</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>2</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>8</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>9</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>5</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>5</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>1</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>4</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>8</DIV></TD></TR></TABLE></v:textbox></v:shape><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>2</DIV></TD></TR></TABLE></v:textbox></v:shape></v:group></v:group><v:shape><v:textbox inset="0,0,0,0"><TABLE cellSpacing=0 cellPadding=0 width="100%"><TR><TD #d4d0c8; BORDER-TOP: #d4d0c8; BORDER-LEFT: #d4d0c8; BORDER-BOTTOM: #d4d0c8; BACKGROUND-COLOR: transparent"><DIV>1</DIV></TD></TR></TABLE></v:textbox></v:shape><img> <v:shape><v:imagedata></v:imagedata></v:shape>，<v:shape> <v:imagedata></v:imagedata></v:shape>，…，<v:shape> <v:imagedata></v:imagedata></v:shape>表示各居民点，边上的数表示两居民点间的距离。现在需要我们考虑的问题是在这十个居民点中，何处作为新建医院的理想地址。

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