2021年美国高中数学建模竞赛模拟题讲解

　　美国高中生数学建模竞赛（High School Mathematical Contest in Modeling，简称HiMCM）是一项由非营利性组织美国数学及应用联合会（COMAP）举办的国际竞赛，旨在提高学生数学建模、解决问题和英文写作等技能。竞赛始于1999年，2019年有来自324个学校的791支队伍参赛。

　　HiMCM 竞赛现在有25页的限制。你提交的论文所有部分（摘要、目录、参考文献和任何附录）的总页数必须控制在25页以内。

　　词汇表：

　　确定性：只有一个（预定）结果的过程。

　　虚构：不是真实的；人为虚构的。

　　概率性：基于概率理论或随机性在预测未来事件中起作用的过程。

　　久坐：长时间坐着，并很少活动。

　　英文赛题：The Best Summer Job

　　Although it's only November, you need to start planning for your 2021 summer job. You have a variety of choices this year and want to determine your "best" choice. You pose this problem for your team of math friends:

　　We have many opportunities for a summer job. Some allow us to work from home virtually/electronically, some are a walk or bike ride away, and others require us to drive or take a train. Each job offers differing numbers of hours each week and the hourly rates also vary. Some involve physical activity, or at least not sitting at a desk (e.g. cashier at a store, lifeguarding, or wait staff at a restaurant), while others are mostlysedentaryand perhaps use analytical and organizational skills (e.g. data analysis, office administration, or research).

　　Let's develop a model that will evaluate the choices we have for our summer jobs and help us all find the "best" job. While we certainly want to earn and save some money, we also want to have time for recreation activities (e.g. exercise, outings, and social time with friends). Let's make our model one that will be helpful for all high school students to think about and analyze their summer job options.

　　What factors should high school students who are looking for a summer job consider? List and describe the various factors your team identifies. Note that factors may be quantitative or qualitative, constant or variable, anddeterministicorprobabilistic. Be sure to include units as appropriate.

　　Use your factors to develop a model or algorithm (or set of models/algorithms) for a high school student to use to evaluate their summer job options based on their own situation and preferences as inputs to your model.

　　Test your model with at least tenfictionalpersons that you create with reasonable data. Explain your development of these fictional persons and the data you chose. Analyze the results of the application of your model on these persons.

　　Describe and show how you would present your model for a person to understand and use. For example, you might use a webpage or an app or a school newspaper article.NOTE: You do not need to publish an actual webpage or develop an actual app, but describe and provide the layout of your proposed presentation.

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

　　One-page Summary Sheet.

　　Table of Contents.

　　Your complete solution.

　　References list.

　　Note: The HiMCM Contest now has a 25 page limit. All aspects of your submission count toward the 25 page limit (Summary Sheet, Table of Contents, Reference List and any Appendices).

　　Glossary:

　　Deterministic: processes that have only one (predetermined) outcome.

　　Fictional: not real or true; made up.

　　Probabilistic: processes based on the theory of probability or that randomness plays a role in predicting future events.

　　Sedentary: characterized by much sitting and little physical activity.

　　以上就是小编为大家整理的关于美国高中生数学建模竞赛模拟试题讲解，希望对大家有所帮助。更多美国高中生数学建模竞赛参赛要求、美国高中生数学建模竞赛​​​​​​​南京训练营等问题可以咨询我们。