2024年1月18日发(作者：太仓面试初中数学试卷分析)

Problem A Rotating Grill Design for oscillating fan

One common type of oscillating directional electronic fan is a rotate grill fan. The key

technology is the shape and speed of the rotating grill. The special-designed grill rotates to direct

air for wide circulation. The clockwise and counter clockwise motion changes airflow direction.

Please consider the factors of natural breeze, and build a breeze mode to design the grill to

make the air from the fan to be comfortable.

一种用于振动风机的旋转格栅设计问题

一种常见的振动定向电子风机是一种旋转式格栅风机。关键技术是旋转格栅的形状和速度。特别设计的烧烤炉旋转，以直接空气流通。顺时针和逆时针方向运动改变气流方向。

请考虑自然因素的微风，并建立风模式设计的格栅，使空气从风扇舒适。

Problem B Red Sun in the Morning: find an exit strategy

Red sun at night, sailors\' delight. Red sun in the morning, sailors take warning.

Ten years ago hurricane Katrina had a devastating effect on the economies of several states,

causing many deaths and much suffering. Comprehensive evacuation plans have been developed since

then, but the authorities still want to improve their effectiveness. Your team has been hired by the

Mississippi Emergency Management Administration (MSEMA) to review their current evacuation

strategies.

Things to keep in mind: All hurricanes are assigned a category: from 1 (the weakest) to 5 (the

strongest, like Katrina). The category and the location of landfall are first predicted about 4 days in

advance. Predictions are revised using updated information 48 hours later, and the final (most accurate)

predictions become available 24 hours ahead of the expected landfall. The category of the hurricane

and the actual location of the landfall determine which counties will be flooded. In addition, driving

conditions in surrounding counties might be seriously affected by the size of the hurricane.

Build a model to advise MSEMA on an optimal strategy: which counties should be ordered to

evacuate, when, and where to. The first page of your manuscript should be a one page non-technical,

executive summary for the governor of Mississippi. It should describe your main recommendations, the

criteria you used to evaluate their effectiveness, and any caveats you believe are important to mention.

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Time permitting, your model should also account for the fact that evacuations initiated in

Louisiana, Alabama, and Mississippi affect each other. For example, a large portion of the New

Orleans population will likely evacuate through Jackson, MS using highways 59 and 55. If the

population of Jackson needs to evacuate, much of it will be directed North within MS or West toward

Monroe, LA. Parts of coastal counties in MS will evacuate through Mobile, AL.

Despite these interdependencies, the decisions in each state are rarely made collaboratively. So, if

you are a governor in one of these states and you order the evacuation later than the others, the

population of your state might be at disadvantage since the roads will be already clogged by then. If the

hurricane turns out to be stronger than expected, your constituents might end up stuck in traffic in

affected areas. On the other hand, if you order the evacuation too early, this disruption carries a high

economic cost – coastal areas generate much revenue for your state and early predictions about the

expected hurricane strength/landfall time/location might be inaccurate.

夜晚的红太阳，水手们的喜悦。早晨红太阳，水手们采取警告。

十年前，卡特丽娜飓风对几个州的经济造成了毁灭性的影响，导致许多人死亡，许多苦难。自那时以来，已经制定了全面的疏散计划，但当局仍希望提高其有效性。你的团队被密西西比急救管理聘用（msema）审查目前的疏散策略。

事情要记住：所有的飓风都被分配一个类别：从1（最弱）到5（最强的，像卡特丽娜）。类别和登陆位置第一预测提前4天左右。预测修订后的48小时后使用更新的信息，并最终（最准确）的预言变成未来的预期登陆24小时。类的飓风和实际位置登陆确定县将被淹没。此外，在周围的县的驾驶条件可能会受到严重影响的大小飓风。

建立一个模型的最优策略msema建议：各国应下令疏散，当，在哪里。您的稿件的第一页应该是一一页的技术，为密西西比州州长执行概要。它应该描述你的主要建议，你用来评估其有效性的标准，以及任何你认为重要的事项提。

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如果时间允许的话，你的模型应该考虑的事实，在路易斯安那，阿拉巴马州和密西西比州开始疏散，相互影响。例如，新奥尔良的一大部分人口将有可能通过禅师撤离，使用高速公路59和55。如果杰克逊的人口需要撤离，大部分将是朝着北西向梦露，拉。沿海县的部分地区将通过移动，铝。

尽管这些相互依赖，每个州的决定很少合作。因此，如果你是这些州中的一位州长，你要比其他国家晚一点的话，你的国家人口可能处于不利地位，因为那时道路已经被堵塞了。如果飓风的结果是强于预期，你的选民可能会最终陷入受影响地区的交通。另一方面，如果你为了疏散太早，这种破坏有很高的经济成本–沿海地区产生多少收入，你的状态和早期预测预计飓风的强度/登陆时间/地点可能不准确。

Problem C Refugee Quota Plan

The recent surge of migration into Europe has been unprecedented in scope, with an

estimated 1 million migrants from the Middle East and North Africa, making for a massive

humanitarian crisis, as well as a political and moral dilemma for European governments.

European Union interior ministers have reached a deal to share out 120,000 refugees across

the European Union bloc after holding an emergency meeting.

The agreement was reached in Brussels on Tuesday despite fierce opposition from some

central and eastern states that deepened rifts over Europe\'s worst refugee crisis in decades.

Refugees queue to register at a camp after crossing the Greek-Macedonian border near Gevgelija

Requirement 1: Predict the total number of refugees.

Requirement 2: Provide optimal refugee quota plan.

Requirement 3: What are the problems with the current plan.

Requirement 4: Your suggestion.

问题的难民配额计划

最近移民潮在欧洲范围内是史无前例的，估计从中东和北非移民到100万，这是一次巨大的人道主义危机，也是欧洲各国政府的政治和道德困境。

欧盟内政部长在举行紧急会议后，已达成协议，在欧洲联盟集团内共有120000名难民在一起分享。

在布鲁塞尔达成了协议在星期二尽管激烈反对从中部和东部一些州，加深裂痕在数十年来欧洲最严重的难民危机。

要求1：预测难民总数。

要求2：提供最佳的难民配额计划。

要求3：当前计划的问题是什么。

要求4：你的建议。

难民排队登记在一个营地过希腊马其顿边境附近盖夫盖利亚


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