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2019年高中数模美赛A题中文及解法思路

 章社生鄂武昌鱼 2022-12-08 发布于湖北

解法思路:

1)查出充电设备需要的电量随时间的变化,计算出公共场所需要增加的充电设备。

2)求出公共场所增加的需求和能源使用所产生的成本与最量之间的关系曲线,计算出使用者支付能力与使用充电量之间的关系曲线。二曲线的交点为如何支付最佳节解。

3)讨论不同类型的公共场所用电量,求出如何支付最佳节解。

4)探索哪些举措来降低公共场所能源使用增加的成本。比如租用,比如外包。

问题A

问题:充电!

在我们的学校和社会生活中,我们生活在一个移动电子世界中。每天我们都“插电”为电子设备和设备充电。这些电子产品的范围从小型物品(手机)到大型物品(电动汽车)。在我们自己的家中,我们的家庭很可能负责购买充电设备,然后向电力公司/供应商支付我们使用的电力。

公共场所不断扩大电源插座、充电站,甚至电动汽车充电停车场的可用性。例如,许多机场最近对其停车场、航站楼和飞机进行了翻新,以便为从便携式设备到车辆的所有设备充电。在某些地方,这些充电站需要收费,但世界各地的许多公共场所都提供“免费”充电。但是,在机场、火车站、学校、图书馆、购物中心、咖啡店和办公室等公共场所的这些“免费”收费站“插上”我们的电子产品会产生什么影响?谁来买单?

1.讨论近年来这类能源消耗发生了什么变化,以及将如何继续变化。确定能源(电力)和充电需求增加对公共场所的影响和要求。

2.利用您确定的影响和要求,为公共场所增加的需求和能源使用所产生的成本建立模型。讨论这些成本的程度以及如何支付。

3.讨论您的模式在不同类型的公共场所(如学校与咖啡馆/咖啡厅、机场与购物中心等)中的变化(如果有的话)?

4.应探索哪些举措来降低公共场所能源使用增加的成本?这些计划的实施将如何调整您的成本模型?

5.为校报写一篇一页的文章,描述你的发现和建议。

您的提交内容应包括:

一页汇总表。

目录。

一页文章。

您的解决方案不超过20页,最多23页,包括摘要、目录和文章。

2019 Problems

Problem A

Problem: Charge!

In our school and social lives we exist in a mobile electronic world. Each day we "plug in" and charge our electronic devices and equipment. These electronics may range from small items (cell phones) to large items (electric vehicles). While in our own home, our family is most likely responsible for purchasing the charging equipment, and then paying an electric company/provider for the electricity we use.

Public places are continually expanding the availability of electrical outlets, charging stations, and even electric vehicle charging parking spots. For example, many airports have recently refurbished their parking lots, terminals, and aircraft to allow for electrical charging of everything from portable devices to vehicles. In some locations, these charging ports require a fee, but many public places worldwide offer charging for free. But, what is the impact of plugging in our electronics at these free charging sites in public places such as airports, railway terminals, schools, libraries, shopping malls, coffee shops, and offices? And, who pays for it?

1. Discuss how has this type of energy consumption has changed over recent years and how it will continue to change. Identify impacts on, and requirements of, public places with these increasing energy (electricity) and charging demands.

2. Use your identified impacts and requirements to develop a model for the resulting costs of the increased demands and energy usage on public places. Discuss the extent of these costs and how they are paid.

3. Discuss how your model changes, if at all, for different types of public places (e.g. a school vs. a café/coffee shop vs. an airport vs. a shopping mall, etc.)?

4. What initiatives should be explored to reduce the cost of this increased energy usage in public places? How would implementation of these initiatives adjust your cost model?

5. Write a one-page article for your school newspaper describing your findings and recommendations.

Your submission should consist of:

One-page Summary Sheet.

Table of Contents.

One-page Article.

Your solution of no more than 20 pages, for a maximum of 23 pages with your summary, table of contents, and article.

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