论坛 › 全国大学生数学建模竞赛(CUMCM) › [求助]数模竞赛题

flcz 发表于 2005-5-1 09:27

[求助]数模竞赛题

<P  align=center><B >试题</B><B ><FONT face="Times New Roman">A</FONT></B><B >制陶材料优化设计</B><B><p></p></B></P>
<P >硅酸盐（<FONT face="Times New Roman">Si<SUB>3</SUB>N<SUB>4</SUB></FONT>）制陶材料是一种强度高、耐磨、抗氧化和耐高温的材料，它广泛应用于高温结构的材料中，如切割工具、齿轮、内燃机部件及航空、航天飞行器的有关部件等。影响这种材料的强度的因素有：<p></p></P>
<P ><FONT face="Times New Roman">A:</FONT>加热方案，<FONT face="Times New Roman">A<SUB>1</SUB>=</FONT>两步，<FONT face="Times New Roman">A<SUB>2</SUB>=</FONT>一步；（其中“两步”包括“一步”上的预烧结阶段）<FONT face="Times New Roman">.<p></p></FONT></P>
<P ><FONT face="Times New Roman">B:</FONT>四种烧结添加剂<FONT face="Times New Roman">CaO,Y<SUB>2</SUB>O<SUB>3</SUB>,MgO</FONT>和<FONT face="Times New Roman">Al<SUB>2</SUB>O<SUB>3</SUB></FONT>的总量，<FONT face="Times New Roman">B<SUB>1</SUB>=14</FONT>摩尔<FONT face="Times New Roman">%</FONT>，<FONT face="Times New Roman">B<SUB>2</SUB>=16</FONT>摩尔<FONT face="Times New Roman">%</FONT>，<FONT face="Times New Roman">B<SUB>3</SUB>=18</FONT>摩尔<FONT face="Times New Roman">%</FONT>。<p></p></P>
<P ><FONT face="Times New Roman">C:CaO</FONT>的含量，<FONT face="Times New Roman">C<SUB>1</SUB>=0.0</FONT>摩尔<FONT face="Times New Roman">%</FONT>，<FONT face="Times New Roman">C<SUB>2</SUB>=1.0</FONT>摩尔<FONT face="Times New Roman">%</FONT>，<FONT face="Times New Roman">C<SUB>3</SUB>=2.0</FONT>摩尔<FONT face="Times New Roman">%</FONT>。<p></p></P>
<P ><FONT face="Times New Roman">D: Y<SUB>2</SUB>O<SUB>3</SUB></FONT>的摩尔<FONT face="Times New Roman">%</FONT>与<FONT face="Times New Roman">MgO</FONT>的摩尔的比率，<FONT face="Times New Roman">D<SUB>1</SUB>=1:1, D<SUB>2</SUB>=1:2, D<SUB>3</SUB>=1:6.<p></p></FONT></P>
<P ><FONT face="Times New Roman">E</FONT>：<FONT face="Times New Roman">Y<SUB>2</SUB>O<SUB>3</SUB></FONT>的摩尔<FONT face="Times New Roman">%</FONT>与<FONT face="Times New Roman">Al<SUB>2</SUB>O<SUB>3</SUB></FONT>的摩尔<FONT face="Times New Roman">%</FONT>的比率，<FONT face="Times New Roman">E<SUB>1</SUB>=2:1, E<SUB>2</SUB>=1:1, E<SUB>3</SUB>=1:4.<p></p></FONT></P>
<P ><FONT face="Times New Roman">F:</FONT>烧结温度，<FONT face="Times New Roman">F<SUB>1</SUB>=1800<SUP>o</SUP>C, F<SUB>2</SUB>=1850<SUP>o</SUP>C, F<SUB>3</SUB>=1900<SUP>o</SUP>C.<p></p></FONT></P>
<P ><FONT face="Times New Roman">G:</FONT>烧结时间，<FONT face="Times New Roman">G<SUB>1</SUB>=1h, G<SUB>2</SUB>=2h, G<SUB>3</SUB>=3h.<p></p></FONT></P>
<P >为了寻找使得该种材料的强度达到最高的工艺条件，特此安排了如下试验方案，测量数据见表<FONT face="Times New Roman">1</FONT>，<p></p></P>
<P ><FONT face="Times New Roman">一、        </FONT>根据表<FONT face="Times New Roman">1</FONT>的测量数据，试建立合理的数学模型，并对试验结果进行分析；<p></p></P>
<P ><FONT face="Times New Roman">二、        </FONT>寻找使得强度最大的最优工艺条件；<p></p></P>
<P ><FONT face="Times New Roman">三、        </FONT>对你所建立的模型进行误差分析并做出评价；<p></p></P>
<P ><FONT face="Times New Roman">四、        </FONT>你能否提出一种更合理的试验设计计划及试验结果的分析方法？<p></p></P>
<P ><FONT face="Times New Roman">五、        </FONT>就你的研究对有关部门试写一份申报科技进步奖的报告。<p></p></P>
<P  align=center><FONT size=3><B>表<FONT face="Times New Roman">1</FONT></B><B>、陶瓷试验方案及强度数据表<p></p></B></FONT></P>
<TABLE  cellSpacing=0 cellPadding=0 border=1>

<TR >
<TD  vAlign=top width=79>
<P  align=center>试验号</P></TD>
<TD  vAlign=top width=204>
<P  align=center>因素</P>
<P ><FONT face="Times New Roman">A   B   C   D   E   F  G</FONT></P></TD>
<TD  vAlign=top width=285>
<P  align=center>强度</P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">1</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">1   2    2   1   3   1   3</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">996.8   783.6   796.9</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">2</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">1   2    1   2   2   3   1</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">843.8   816.2   714.3   824.4</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">3</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">1   2    3   3   1   2   2</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">647.1   667.9   534.3   617.7</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">4</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">1   3    2   1   2   3   2</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">616.3   552.3    552.6   596.0</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">5</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">1   3    1   2   1   2   3</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">517.8   526.1    498.1   499,5</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">6</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">1   3    3   3   3   1   1</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">1002.0  1097.0   882.9   940.1</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">7</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">1   1    2   2   3   2   1</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">806.5   933.5    964.9   1046.0</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">8</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">1   1    1   3   2   1   2</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">801.5   803.2    846.2   756.4</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">9</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">1   1    3   1   1   3   3</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">739.2   863.3    797.0   929.6</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">10</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">2   2    2   3   1   3   1</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">615.0   627,5    583.9   597.1   563.9</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">11</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">2   2    1   1   3   2   2</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">795.9   854.0    937.0   999.2   724.8</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">12</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">2   2    3   2   2   1   3</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">850.9   921.8    990.6   943.5   840.9</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">13</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">2   3    2   2   1   1   2</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">513.0   665.9    718.9   646.4</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">14</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">2   3    1   3   3   3   3</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">831.3   981.4    912.5   950.7   987.3</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">15</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">2<FONT size=3>           </FONT>3    3   1   2   2   1</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">806.1   908.1    627.6   855.0</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">16</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">2   1    2   3   2   2   3</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">727.3   643.9    584.0   643.4   602.1</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">17</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">2   1    1   3   2   2   3</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">836.8   716.3    862.9   796.2     </FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=79>
<P  align=center><FONT face="Times New Roman">18</FONT></P></TD>
<TD  vAlign=top width=204>
<P ><FONT face="Times New Roman">2   1    3   1   1   1   1</FONT></P></TD>
<TD  vAlign=top width=285>
<P ><FONT face="Times New Roman">1001.0   937.6    955.3   995.8   1009.0</FONT></P></TD></TR></TABLE>
<P ><FONT size=3>注：因素栏中数字“<FONT face="Times New Roman">i</FONT>”表示因素在试验中处于第<FONT face="Times New Roman">i</FONT>水平。</FONT></P>
<P  align=center><B ><p><FONT face="Times New Roman"> </FONT></p></B></P>
<P  align=center><B >试题</B><B ><FONT face="Times New Roman">B</FONT></B><B >：零件装配优化</B><B ><p></p></B></P>
<P ><p><FONT face="Times New Roman" size=3> </FONT></p></P>
<P ><FONT size=3>在航空工业中，特别在飞机工业制造过程中，各零部件合理装配非常有助于提高整机的性能。</FONT></P>
<P ><FONT size=3>现有<FONT face="Times New Roman">19</FONT>个零件均匀装配在一个圆盘周围，每个零件具有频率和质量，装配时要求满足以下条件：</FONT></P>
<P ><FONT face="Times New Roman"><FONT size=3>1．</FONT>  </FONT><FONT size=3>相邻零件应具有频率差，且为一大一小分布；</FONT></P>
<P ><FONT face="Times New Roman"><FONT size=3>2．</FONT>  </FONT><FONT size=3>相邻零件频率差应不小于<FONT face="Times New Roman">6Hz</FONT>，允许在不相邻的三处，相邻零件频率差不小于<FONT face="Times New Roman">4Hz</FONT>；</FONT></P>
<P ><FONT face="Times New Roman"><FONT size=3>3．</FONT>  </FONT><FONT size=3>整个圆盘上的配重值不大于<FONT face="Times New Roman">10g , </FONT>配重值计算公式为：</FONT></P>
<P ><FONT face="Times New Roman" size=3>     </FONT><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><FONT face="Times New Roman" size=3></FONT></v:imagedata></v:shape></P>
<P ><FONT size=3>则：</FONT></P>
<P ><FONT face="Times New Roman"><FONT size=3>a．</FONT>  </FONT><FONT size=3>设计满足上述要求的优化算法，并用表<FONT face="Times New Roman">2</FONT>中三组数据验证；</FONT></P>
<P ><FONT face="Times New Roman"><FONT size=3>b．</FONT>  </FONT><FONT size=3>如果数据可做局部调整（可换一个零件），分析对装配效果的影响。</FONT></P>
<P ><p><FONT face="Times New Roman" size=3> </FONT></p></P>
<P ><FONT size=3>表<FONT face="Times New Roman">2 </FONT>数据</FONT></P>
<TABLE  cellSpacing=0 cellPadding=0 border=1>

<TR >
<TD  vAlign=top width=28>
<P >序号</P></TD>
<TD  vAlign=top>
<P >频率<FONT face="Times New Roman">Hz</FONT></P></TD>
<TD  vAlign=top>
<P >质量<FONT face="Times New Roman">g   </FONT></P></TD>
<TD  vAlign=top>
<P  align=center>序号</P></TD>
<TD  vAlign=top>
<P >频率<FONT face="Times New Roman">Hz</FONT></P></TD>
<TD  vAlign=top>
<P >质量<FONT face="Times New Roman">g</FONT></P></TD>
<TD  vAlign=top>
<P >序号</P></TD>
<TD  vAlign=top>
<P >频率<FONT face="Times New Roman">Hz</FONT></P></TD>
<TD  vAlign=top width=66>
<P >质量<FONT face="Times New Roman">g</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">1</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">111</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">70</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">1</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">96</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">39</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">1</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">96</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">32</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">2</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">108</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">65</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">2</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">100</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">32</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">2</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">113</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">90</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">3</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">112</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">86</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">3</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">108</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">62</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">3</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">106</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">59</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">4</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">100</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">32</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">4</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">98</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">10</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">4</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">96</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">27</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">5</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">102</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">50</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">5</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">110</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">59</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">5</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">100</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">48</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">6</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">100</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">36</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">6</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">98</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">32</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">6</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">96</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">41</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">7</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">99</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">10</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">7</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">98</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">20</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">7</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">96</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">25</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">8</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">106</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">67</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">8</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">108</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">74</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">8</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">105</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">55</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">9</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">98</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">26</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">9</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">110</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">49</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">9</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">112</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">63</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">10</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">102</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">35</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">10</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">98</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">5</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">10</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">97</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">42</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">11</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">97</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">16</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">11</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">98</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">12</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">11</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">97</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">25</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">12</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">100</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">20</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">12</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">98</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">30</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">12</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">97</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">49</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">13</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">109</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">71</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">13</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">96</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">16</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">13</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">108</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">60</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">14</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">99</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">38</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">14</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">108</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">80</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">14</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">96</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">20</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">15</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">109</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">93</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">15</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">109</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">60</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">15</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">112</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">62</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">16</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">113</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">72</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">16</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">107</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">52</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">16</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">111</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">82</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">17</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">109</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">66</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">17</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">108</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">59</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">17</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">110</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">84</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">18</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">100</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">27</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">18</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">98</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">39</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">18</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">97</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">45</FONT></P></TD></TR>
<TR >
<TD  vAlign=top width=28>
<P ><FONT face="Times New Roman">19</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">101</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">66</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">19</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">102</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">37</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">19</FONT></P></TD>
<TD  vAlign=top>
<P ><FONT face="Times New Roman">108</FONT></P></TD>
<TD  vAlign=top width=66>
<P ><FONT face="Times New Roman">47</FONT></P></TD></TR></TABLE>
<P ><p><FONT face="Times New Roman" size=3> </FONT></p></P>
<P ><p><FONT face="Times New Roman"> </FONT></p></P>

lijiqiao224 发表于 2005-5-7 12:30

1230 发表于 2005-5-8 19:54

试题挺实用的

1230 发表于 2005-5-8 19:57

查看完整版本: [求助]数模竞赛题