2002年美国中学生数学建模试题及特等奖论文下载 HiMCM Outstanding Papers
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<P align=center><FONT face=Tahoma><FONT size=6>2002 HiMCM Problem A<BR></FONT></FONT><B><FONT face="Times New Roman"><FONT face=Tahoma><FONT size=6>School Busing</FONT></FONT></FONT></B></P></TD></TR>
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<TD width="52%"><FONT face=Tahoma><BR>Problem:</FONT><FONT face=Tahoma>Consider a school where most of the students are from rural areas so they must be bused. The buses might pick up all the students and go to the elementary school and then continue from that school to pick up more students for the high school.</FONT> <FONT face=Tahoma>A clear alternative would be to have separate buses for each school even though they would need to trace over the same routes. There are, of course, restrictions on time (no student should be in the bus more than an hour), drivers, equipment, money and so forth.</FONT> <FONT face=Tahoma>How can you set up school bus routes to optimize budget dollars while balancing the time on the bus for various school groups? Build a mathematical model that could be used by various rural and perhaps urban school districts. How would you test the model prior to implementation? Prepare a short article to the school board explaining your model, its assumptions, and its results.</FONT><BR><BR></TD></TR></TBODY></TABLE>
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<P align=center><FONT face=Tahoma><FONT size=6>2002 HiMCM Problem B<BR><B>The Falling Ladder</B></FONT></FONT></P></TD></TR>
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<TD width="52%"><FONT face=Tahoma>Problem:</FONT><FONT face=Tahoma>A ladder 5 meters long is leaning against a vertical wall with its foot on a rug on the floor. Initially, the foot of the ladder is 3 meters from the wall. The rug is pulled out, and the foot of the ladder moves away from the wall at a constant rate of 1 meter per second. Build a mathematical model or models for the motion of the ladder. Use your model (or models) to find the velocity at which the top of the ladder hits the floor and the distance the top of the ladder will be from the wall at the moment that it hits the ground.</FONT>
<P align=center></P></TD></TR></TBODY></TABLE> 真好，凑字数凑字数凑字数 每年都有新的创意，搬走！ 美国建模竞赛的level就是高 eeeeeeeeeeee eeeeeeeeeeeeeee 新手上路，请多关照！ 建模试题真有意思 从身边的事情开始
这是最好的教育方式 好！！！！