无限旅馆悖论 - Jeff Dekofsky：英语精读讲义

thought experiment 在这句话中是什么意思？

1. 没有任何推理的随口看法
2. 已经在实验室完成的测试
3. 通过推理探索观点的假想情境

使用 just how、important、it 和 be 的现在时完成句子：The fire drill showed us ____ stay calm in an emergency.

用习语 wrap one's mind around 完成句子，并将物主词改成与 I 对应的形式：I still can't ____ why the system failed.

用一个能邀请听者进入假想场景的动词完成开场句：____ a school where every lesson is an adventure.

哪个句子能自然地表示“今天下午已经没有可预约的时段了”？

1. The dentist is totally booked up this afternoon.
2. The dentist closed early this afternoon.
3. The dentist has several open appointments this afternoon.

用本课中的两个单词补全句子，引出没有被选择的动作：____ take the bus, Lina walked to school.

用 turn down 完成句子，并用 him 指代 Sam：Sam asked for extra time, but the teacher had to ____.

用 make room for 完成句子：We moved the boxes to ____ the new desk.

哪一句使用 and so on 表示一个已经明确说明的规律继续下去？

1. The list ends at 10, and so on.
2. Pick a number, and so on.
3. Start at 1 and add 3 each time: 1, 4, 7, 10, and so on.

用表示起点和终点的词完成这条通用对应规则：Each label changes ____ code n ____ code n + 1.

本句中的 Since 起什么作用？

1. 它引出支持后面结果的原因。
2. 它表示房间与客人之间的对比。
3. 它标明房间最初变成无限多的时间。

用 leave + 宾语 + 形容词表示让窗户保持开着：Please ____ the window ____ while the paint dries.

“any finite number of new guests”允许哪种数量？

1. 只有少量客人
2. 无穷无尽的客人
3. 任何不是无限的客人数量

用一个表示“比如说”的插入词补全条件句：If, ____, ten more people arrive, we can add another table.

哪个句子表示移动物品后，原本被占用的空间变得可用？

1. Moving the shelves opened the door to the storeroom.
2. Moving the shelves took up more floor space.
3. Moving the shelves opened up more floor space.

哪一项最准确地说明 countably infinite？

1. 一个无限集合，其成员可以与 1、2、3……逐一对应
2. 一个大到数不清的有限集合
3. 一个无法排成这种编号清单的无限集合

用 pull up 的过去式完成句子，表示公交车驶到后停下：The bus ____ in front of the museum, and the children got off.

哪个句子能自然地表示“耐心是学习新技能时最重要的因素”？

1. Patience is the key to learning a new skill.
2. Patience is the key of learning a new skill.
3. Patience is the key to learn a new skill.

哪个句子清楚地使用 at first ... but ...，从最初的困难转向后来的变化？

1. At first, the map was confusing, so I checked it at first.
2. At first, the map was confusing, but after a minute I found the right path.
3. The map was confusing because several paths looked alike.

哪个句子把 place 用作动词，表示“把某人安排到合适的位置或小组”？

1. The coach described each new player's favorite place.
2. The coach chose a place beside the practice field.
3. The coach placed each new player in a practice group.

选择表示“越来越多的座位正被占用”的自然英文句子。

1. The seats are cleaning up quickly.
2. The seats are filling up quickly.
3. The seats are moving up quickly.

哪一项正确解释了 infinite even-numbered rooms？

1. 一组没有尽头、大小都相同的房间。
2. 一组数量有限、房间总数为偶数的房间。
3. 一组没有尽头、编号依次为 2、4、6 等的房间。

用本课的三个英文单词补全“方法—结果”连接：The team switched to reusable cups. ____, it cut its plastic waste in half.

哪个句子正确表示“房号为奇数的房间数量没有上限”？

1. There is infinite many odd-numbered rooms.
2. There are infinitely many odd-numbered rooms.
3. There are infinitely much odd-numbered rooms.

听完整的英文句子，并选择你听到的内容。注意 filing 第一个音节的元音。

1. The passengers are filing off the bus.
2. The passengers are filling up the bus.

哪句话能自然地描述一家销售额和顾客数量正在快速增长的餐厅？

1. The restaurant's business is steady but unchanged.
2. A booming noise is coming from the restaurant's dining room.
3. The restaurant's business is booming.

朋友说图书馆八点关门，但实际是六点。哪种回答能较温和地纠正这个事实？

1. Well, actually, the library closes at six.
2. Well, the library might close someday.
3. No, you're wrong; the library closes at six.

哪个句子中的 bank 表示赚到或收入一大笔钱？

1. She banked the airplane sharply to the left.
2. He walked to the bank before lunch.
3. The film banked millions in its first week.

哪个句子自然地表示“某个活动的消息被越来越多的人知道”？

1. Word spread quickly about the surprise concert.
2. People gathered quickly for the surprise concert.
3. A reporter wrote one word about the surprise concert.

用 pour in 的过去式完成句子：After the team opened registration, applications ____ from across the country.

用本讲中表示“来自许多不同地方”的三词习语补全句子：Fans traveled from ____ to attend the final.

哪一小段使用 What can he do? 从问题过渡到解决方案？

1. His bicycle is broken. What can he do?
2. The gate is locked. What can he do? He can call the caretaker for help.
3. Everyone is choosing a role for the play. What can he do? He can sing and dance.

请用 rain 和 stay 的正确形式完成这个真实的未来条件句：If it ____, we ____ inside.

哪句话表示商店没有获得原本可能赚到的钱？

1. The shop lost out on thousands of dollars because its website was down.
2. The shop lost thousands of dollars in a bad investment.
3. The shop lost a receipt under the counter.

around the year 300 BCE 的正确含义是哪一项？

1. 公元300年的一个精确日期
2. 公元前300年附近的一个大约日期
3. 一段持续了300年的时期

关于 prime numbers，哪一个说法正确？

1. Nine is a prime number because it is odd.
2. One is a prime number because it is divisible by 1.
3. Seven is a prime number because its only positive factors are 1 and 7.

哪句话正确使用了表示目的的不定式和 accomplish a task？

1. To accomplish at this difficult task, we need a clear plan.
2. To accomplishing this difficult task, we need a clear plan.
3. To accomplish this difficult task, we need a clear plan.

补全 assign someone to something 结构：The teacher assigned each student ____ a group.

哪个句子使用 raised to the power of 正确表达“3⁴等于81”？

1. Four raised to the power of three equals eighty-one.
2. Three multiplied by four equals eighty-one.
3. Three raised to the power of four equals eighty-one.

完成标准的指数读法。其值为128：Two to the ____ power is one hundred twenty-eight.

在这句话中，the next prime 是什么意思？

1. 下一次有人检查一个数是不是质数
2. 质数序列中紧接着的数
3. 离某个房间号最近的数

哪个句子最准确地改述了这条分配规则？

1. The passengers give five prime numbers to someone else.
2. The second bus is raised to the fifth power.
3. The passengers are given numbers such as 5, 25, and 125.

哪句话正确使用了 factor 的数学含义？

1. 12 is a factor of 3.
2. 3 is the factor that caused 12.
3. 3 is a factor of 12.

在分配房间的语境中，there are no overlapping room numbers 是什么意思？

1. No two assignments use the same room number.
2. Some room-number ranges share one end.
3. Each assignment uses several neighboring room numbers.

用 fan out 的正确过去式完成句子：After the briefing, the rescue teams ____ across the valley.

在本句中，room assignment schemes 是什么意思？

1. 列出各房间实际大小的清单
2. 决定每个人分到哪个房间的系统
3. 夺取他人房间的秘密阴谋

In this way 在本句中起什么作用？

1. 它把话题转到一个无关的内容。
2. 它回指一种方法并引出结果。
3. 它表示前面的方法失败了。

请用表示“有足够空间容纳”的目标动词补全句子：The new hostel can ____ up to eighty guests.

哪句话正确使用 although 引出让步信息？

1. Although of the long hike, we reached the top before sunset.
2. Although the hike was long, we reached the top before sunset.
3. Although the hike was long, but we reached the top before sunset.

用 go unfilled 的过去式完成句子：Several job vacancies ____ for months.

哪句话在数学上是正确的？

1. Six is a power of the prime number three.
2. Ten is a power of the prime number five.
3. Eight is a power of the prime number two.

在 After the review, his job is safe 中，his job is safe 是什么意思？

1. 他在没有发生事故的情况下完成了工作。
2. 他的工作场所没有人身危险。
3. 他不太可能失去职位。

用本课中表示“极其棘手的协调问题”的准确两词表达完成句子：Moving all the laboratory equipment in one afternoon was a ____.

用本课中准确的四词目标短语完成句子，表示灯光是活动得以举行的决定性原因：These evening games ____ the field has lights.

补全表示“内容涵盖某主题”的固定搭配：This chapter deals ____ online privacy.

在 countable infinity 这个短语中，countable 是什么意思？

1. 它的成员可以与自然数逐一对应。
2. 每个成员本身都必须是自然数。
3. 它有很多成员，但计数最终必须结束。

在集合论中，aleph zero 表示什么？

1. 可数无限集合的基数
2. 数字零的另一种符号
3. 可能存在的最大自然数

请用表示添加第二项好处的连接语完成句子：The library offers quiet study rooms as ____ free Wi-Fi.

在本句中，higher orders of infinity 是什么意思？

1. 接近无限的非常大的有限数。
2. 基数大于可数无限的无限集合。
3. 同一个无限集合的多个重复副本，集合大小不变。

这句话中的 real numbers 是什么意思？

1. 普通数轴上的数，包括有理数和无理数。
2. 只有正整数。
3. 只在现实生活情境中有用的数。

用表示“将不再处于某种状态”的目标四词结构完成句子：If the safety rules changed, this shortcut ____ allowed.

请使用 were + -ing 条件从句和 would no longer be 结果从句补全句子：If we ____ with incomplete data, this method ____ reliable.

哪一项最符合 systematically include every number 的含义？

1. 把一些数字排列整齐，即使漏掉很多也没关系。
2. 采用有组织的方法，确保一个数字也不漏。
3. 不按照固定方法，只选几个有用的数字。

在这个数学解释中，real number infinite hotel 是什么意思？

1. 一家想象中的无限酒店，房间按实数编号。
2. 一家真实存在、拥有无穷多个普通房间的酒店。
3. 一家房间只使用正整数编号的无限酒店。

这句话中的 fractional rooms 是什么意思？

1. 实际残缺不全的房间
2. 一天中只能使用部分时间的房间
3. 编号是分数的房间

为什么这句话中的 less room than 会产生笑点？

1. room 既指带编号的酒店房间，也指可用空间。
2. less 把 one half 变成了数字 one。
3. 住客在比较两个房间的价格。

哪项解释最准确地说明了原句的笑点？

1. Pi 的意思是甜点免费。
2. Room pi 是酒店餐厅的标准英文名称。
3. Pi 和 pie 发音相同，但一个属于数学，另一个可以指甜点。

用表示“有基本原则和尊严”的形容词补全这个反问句：What ____ pilot would ignore a safety warning?

说话人说 “Who would ever want to sleep in a wet tent?” 时，最可能是什么意思？

1. 说话人认为每个人都想这样做。
2. 说话人强烈怀疑会有任何人想这样做。
3. 说话人正在中立地询问想这样做的人名。

以下哪句话表示，即使回报非常丰厚，也不会改变决定？

1. I would not enter that unsafe cave, even for an enormous reward.
2. I entered that unsafe cave because an enormous reward was offered.
3. I would enter that unsafe cave only for an enormous reward.

哪句话最能表达 never any vacancy and always room for more 所体现的同一种悖论？

1. 每个房间都住满了，所以酒店拒绝所有新客人。
2. 有几间空房，所以还可以接纳更多客人。
3. 每个房间都住满了，但仍然可以接纳更多客人。

用表示“起到提醒我们作用”的 serve to + 动词短语完成句子：These past mistakes ____ to check every detail.

our relatively finite minds 在这句话中起什么作用？

1. 它表示人类的每个想法都能被精确计数。
2. 它把人类有限的理解力与没有边界的无限概念形成对照。
3. 它表示无限是一个体积很大的实物。

请用表示“理解一个想法”的两个英文词完成句子：The model helped Mia ____ of gravity.

哪句话正确体现了 tackle 和 solve 的区别？

1. We have started to tackle the problem, but we have not solved it yet.
2. We solved the problem before we began working on it.
3. To tackle a problem always means to solve it completely.

哪句话用 but honestly 从正面评价转入坦率的保留意见？

1. But honestly is the title of our new poster.
2. The poster looks colorful, but honestly, the words are hard to read.
3. The poster is honest because it uses bright colors.

请用表示“委婉提出可能要求”的四词结构完成句子：We ____ arrive ten minutes early tomorrow.

请用自然的酒店表达和表示具体时刻的介词完成句子：The hotel asked us to change ____ ____ 10:00 a.m.