2026年美国中学生数学建模A题:城市大比拼

中文赛题:城市大比拼:为最佳宜居城市建模

什么样的城市适合高中生(High schooler)生活?

你们团队的任务是建立一个数学模型,根据自行选择并论证的评价标准,确定最适合高中生生活的城市。讨论团队曾考虑但最终未采用的评价标准。在合理可行的范围内,尽可能收集相关数据并注明来源。利用可获得的数据应用模型,并讨论其局限性。确保模型对至少十座城市进行排名,并根据你们自己对“最佳城市”的定义,得出论据充分的结论,确定哪座城市最佳。

你们的排名体系如何说服他人,使他们相信这一体系不只是你们的主观意见,而是具有建立排名的合理依据?记录对模型所做的至少一次重大修订,该修订应有助于让更多人认可你们排名的实用价值,并解释修改的理由。

为 COMAP 的“最适合高中生生活的城市”撰写一篇1–2 页的非技术性新闻报道。报道应包含你们的建模过程。

提交要求

你们提交的 PDF 解决方案总页数不超过25 页,应包括:

  • 一页摘要页。
  • 目录。
  • 完整的解决方案。
  • 为 COMAP 撰写的 1–2 页非技术性新闻报道。
  • 参考文献列表。
  • AI 工具使用报告(如使用了 AI 工具;此部分不计入 25 页限制)。

术语表

  • High schooler(高中生):通常为 14–18 岁、正在接受中等教育最后阶段教育的学生,之后将进入高等教育、大学或就业。

Problem A: The City Showdown: Modeling the Best City to Live In

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What makes a city great for ahigh schoolerto live in?

Your team is tasked to develop a mathematical model that identifies The Best City for a high schooler to live in according to the criteria that you select and justify. Discuss criteria your team considered but chose to leave out. Gather and cite as much relevant data as reasonably available. Apply the model using the available data and discuss any limitations. Ensure your model ranks at least ten cities and produces a well-reasoned conclusion about which is best, based on your own definition.

How would your ranking system convince others that it is not just your opinion, but has merit to establish a ranking? Document at least one significant revision to your model that may convince more people of the usefulness of your ranking and explain the reasoning behind the change.

Write a one-to-two-page non-technical news article for COMAP’s The Best City for a High Schooler. It should include your modeling process.

Submission Guidelines

Your PDF solution of no more than 25 total pages should include:

  • One-page Summary Sheet.
  • Table of Contents.
  • Your complete solution.
  • One-to-two-page non-technical news article for COMAP.
  • References list.
  • Report on Use of AI Tools (If used does not count toward the 25-page limit.).

Glossary

  • High schooler– A student, typically ages 14-18, enrolled in the final years of secondary education before higher education, university, or entry into the workforce.

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