2007年美国中学生数学建模试题（中英文） HiMCM Outstanding Papers
<P align=center><B><SPAN style="mso-bidi-font-size: 10.0pt">Problem A<P></P></SPAN></B>
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<P></P><B>Problem: Smoke Alarms</B>
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<P align=left>Fire is one of the leading causes of accidental deaths. It is important for everyone to take every preventative measure and precaution possible to be ready to deal with a fire emergency.<BR>More than half of all fatal fires occur between 10 p.m. and 6 a.m. when everyone in the home is usually asleep. Smoke alarms are necessary to alert you to fires when you sleep. Will smoke alarms allow enough time to evacuate safely?<BR>Build a mathematical model to determine the number and locations of smoke alarms to provide the maximum time for evacuation. Also include a model to determine the number and location of at-home fire extinguishers to have available. Build a mathematical model for evacuation of a family from both one and two story homes.</P>
<P align=left>Prepare an advertisement for your local fire department to pass out to the community that includes the main results of your mathematical models.</P>
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<P align=center><STRONG>One Story Home</STRONG><BR><IMG height=346 alt="" src="http://www.comap.com/highschool/contests/himcm/2007House.gif" width=473></P>
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<P align=center><STRONG>Two Story Home<BR>Downstair<FONT face="tahoma, arial, verdana, helvetica, geneva, san-serif">s</FONT></STRONG></P>
<P align=center><IMG height=363 alt="" src="http://www.comap.com/highschool/contests/himcm/2007House2-1fl.jpg" width=625></P>
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<P align=center><STRONG>Upstairs</STRONG><BR><BR><IMG height=306 alt="" src="http://www.comap.com/highschool/contests/himcm/2007House2-2fl.jpg" width=603></P>
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<P align=center><B><SPAN style="mso-bidi-font-size: 10.0pt">Problem B
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<P><B>Problem: Car Rentals</B></P>
<P>Some people rent a car when they are going on a long trip. They are convinced they save money. Even if they do not save money, they feel that the knowledge that "if the car breaks down on the trip, the problem is the rental company's" makes the rental worth it. Analyze this situation and determine under what conditions renting a car is a more appropriate option. Determine mileage limits on one's own car and a break-even value of "ease of mind" for the driver and her family.</P>
<P align=right> </P> 2007年美国中学生数学建模竞赛竞赛试题（中文）问题：烟雾警报器
火灾是导致意外死亡的一个主要原因。这是很重要的，大家必须采取一切预防措施，做可能的防范，以随时准备应付火灾紧急状态。
所有致命火灾中的一半以上发生在下午10时到上午6时之间，这个时间段内通常大家都在家里睡着了。烟雾警报器可以在你睡眠的时候提醒你有火情。烟雾警报器能留出足够的时间，以便于安全疏散吗？
建立一个数学模型，确定烟雾警报器安装的数量和位置，以提供最大的疏散时间。还包括一个模型，以确定居家消防灭火器的安装数目和位置。建立一个整个家庭从一到两层的房子中撤离的数学模型。
为您当地的消防部门准备一个向社区的通知，其中包括你的数学模型的主要成果。
http://www.comap.com/highschool/contests/himcm/2007House.gif一层的房子http://www.comap.com/highschool/contests/himcm/2007House2-1fl.jpg
两层房子的底层http://www.comap.com/highschool/contests/himcm/2007House2-2fl.jpg
两层房子的顶层
B题
问题：租车
有些人当他们将要做一个长途旅行的时候，他们会租一辆汽车。通常他们会选择节省金钱。即使他们不吝惜钱，他们也会认为"如果车在旅行中坏了，问题是出租公司的" ，这一点使得租金是值得的。分析这种情况，并确定在什么条件下，租用一辆汽车是一个比较适当的选择。对自己拥有的汽车，确定里程限制，并确定对于司机和她的家人来说可接受的损益平衡点。 真可惜，好想看看中学生的思维啊 1# huashi3483
有大学生的吗。 想看看 ffffffffffffffffffffff 有人会做吗?想看看答案,发到邮箱379015205@qq.com 有人会做吗？急需。会做的麻烦发到邮箱（834272104@qq.com）谢谢。 回复 1# huashi3483
顶起来 没想到中学生的水平都已经这么高了 国内说美国的中小学数学课没学什么数学知识，可是人家学了更重要的东西！！！ ding bucuo