测测你的直觉：生日悖论 - David Knuffke：英语精读讲义

哪句话最适合在讲解开头邀请听众建立一个假设场景？

1. Remember the town with no cars.
2. I imagine a town with no cars.
3. Imagine a town with no cars.

选择嵌入式问句语序正确、并且清楚表达门槛含义的句子。

1. How big do you think the tank would have to be before the water reaches the mark?
2. How big do you think would the tank have to be before the water reaches the mark?
3. How big you think the tank would have to be before the water reaches the mark?

用表示“高于”的两个单词补全句子：The robot has ____ a 60% chance of finishing the maze.

补全表示“临时假设”的固定表达：Assume ____ that every ticket costs the same.

请用这份讲解中的两个词目标短语完成句子：With a fair coin, heads and tails are ____.

在这项生日计算中，ignore leap years 是要你怎么做？

1. 在计算中排除整个2月。
2. 假设每年只有364个可能的日期。
3. 在简化计算中排除2月29日。

哪句话既表示结果低得出人意料，又让判断保持谨慎、不绝对？

1. The result must be wrong because it is low.
2. The result may seem surprisingly low.
3. The result is definitely surprisingly low.

请使用目标句型 There is a ... chance that 和 20 percent 完成概率句：There ____ the road will close tonight.

用表示“共同具有”的动词补全目标表达：Mia and Leo ____ the same birthday.

But with 365 days in a year 在句中起什么作用？

1. 它表示一年中只能有 365 个人过生日。
2. 它给出了概率的完整计算过程。
3. 它先提出一个背景事实，让后面的结果显得出人意料。

选择 that 后语序正确的句子。

1. How is it possible that the lights turned on by themselves?
2. How it is possible that the lights turned on by themselves?
3. How is it possible that did the lights turn on by themselves?

在 The two finalists have even odds of winning 中，even odds 是什么意思？

1. 两位选手必须得到偶数分。
2. 两位选手获胜的机会大致相等。
3. 两位选手都一定会获胜。

完成表示目的的短语：To ____ the answer, we need more data.

哪句话适合在课堂中自然地引出一种可能的方法？

1. Let's look one way to solve the puzzle.
2. Let's look at one way to solve the puzzle.
3. Let's look at the only way to solve the puzzle.

用 known 和正确的介词补全句子，以引出几何名称：A shape with eight sides is ____ an octagon.

在句子 "The book deals with ocean pollution," 中，deals with 是什么意思？

1. 这本书造成海洋污染。
2. 这本书讨论海洋污染。
3. 这本书回避海洋污染这个主题。

在解题讲解中，flip the problem 最可能是什么意思？

1. 停止处理这个问题。
2. 把写着题目的纸翻到背面。
3. 从另一个角度处理同一个问题。

请用本课中的准确结构完成句子：用 challenging 评价这个动作，并用 because 引出原因。Trying to sort these mixed-up files ____ they have no labels.

完成目标结构：There are many ____ you could organize the same event.

说话人刚刚描述了逐行检查。请选择能转向更简单方法的句子。

1. Instead, it's easier to count the empty seats than to check each row one by one.
2. However, it's easier count the empty seats than to check each row one by one.
3. Instead of, it's easier to count the empty seats than to check each row one by one.

完成句子，使两种可能涵盖所有情况：____ the shop is open, ____ it isn't. 使用 either ... or。

填入表示“合计为”的三个词短语：The four angles of a square ____ 360 degrees.

哪一个短语最能表示第二句是由第一句推出的结论？The library closes in ten minutes. ____ we should check out our books now.

1. At first
2. For example
3. That means

哪一个句子表示“计算 50 − 12”？

1. Add twelve to fifty.
2. Subtract twelve from fifty.
3. Subtract fifty from twelve.

请用本课中表示“先从容易处理的一步开始”的两个英文单词完成句子：If the project feels too big, ____.

请用本课中表示“只有一组两个”的四词英文短语完成句子：First, compare ____ numbers.

请用重点结构补全表示结果的从句：The first game takes twenty minutes, ____ only ten minutes for the quiz.

请使用 A out of B 的比例结构补全句子：Eighteen ____ twenty players arrived on time.

用表示“把专家加入讨论”的短语完成句子：Let's ____ an expert before we decide.

每个储物柜都必须有一个其他储物柜没有使用的编号。哪句话表达了这个要求？

1. Every locker must have a unique number.
2. Every locker must have a special number.
3. Every locker must have a popular number.

在 'Two seats are already accounted for by Mia' 中，accounted for by Mia 是什么意思？

1. 两个座位已经分配给 Mia
2. 两个座位还在等 Mia 找到它们
3. Mia 正在解释为什么有两个座位

用表示“后面还有类似项目”的表达完成句子：Pack a hat, a water bottle, sunscreen, ____.

用表示“完整下降到较低终点”的短语补全句子：The price dropped ____ five dollars.

哪条指令表示把之前列出的每个数学量都作为因数放进同一个乘积中？

1. Multiply all of those terms together.
2. Add all of those terms together.
3. Write all of those terms down.

用 works out to 完成句子：The monthly cost ____ thirty dollars。

“at least one book”允许选择什么？

1. 一本书也不能选
2. 只能选一本书
3. 一本或更多本书

完成概率判断：With a 60 percent chance of success, we have ____.

哪个句子正确使用了 The key to X is Y 来说明最主要的因素？

1. The key a smooth trip is planning ahead.
2. The key to a smooth trip is planning ahead.
3. The key to a smooth trip are planning ahead.

哪句话表示学校需求会随着城镇扩大而增长？

1. If the town grows, it may need more schools.
2. Because the town is large, it needs more schools.
3. As the town grows, it needs more schools.

请使用 much + fast 的比较级完成句子：With the new route, the bus gets there ____ than before.

请用 can 加 pair 的被动形式补全句子：Each child ____ a partner.

用 is the same as 完成等价比较：Adding 4 and 6 ____ adding 6 and 4.

列表中的两个条目包含完全相同的信息。哪句话最准确地描述了这种情况？

1. One of the entries is incomplete.
2. One of the entries is unrelated.
3. One of the entries is redundant.

用 so we divide by two 完成推理：Each pair appeared twice in our count, ____.

刚刚已经证明一条规则适用于一个案例。哪种开头最能表明下一个案例也遵循相同的逻辑步骤？

1. For an unrelated reason,
2. By the same reasoning,
3. In spite of the evidence,

某个量大致与 n² 成正比。哪句话准确描述了它的增长方式？

1. It grows quadratically.
2. It grows exponentially.
3. It grows linearly.

选择能正确表达固定比例平方关系的句子。

1. The area of a circle is proportional to the square at its radius.
2. The area of a circle is proportional with the square of its radius.
3. The area of a circle is proportional to the square of its radius.

完成句子，用来描述一个众所周知的弱点：I'm ____ remembering names.

哪一句中的 intuitively grasp 表示不经详细分析就理解某事？

1. Maya firmly grasped the handle with both hands.
2. After one example, Maya could intuitively grasp how the pattern changed.
3. Maya carefully calculated every value in the table.

请使用 seems、improbable、at first 和 that 这四个提示词完成句子：It ____ such a small team could finish by noon.

使用 once 表示条件满足后结果随之出现：____ you understand the map key, the symbols are easy to read.

用 make more sense 的正确形式完成句子：The map ____ after I read the key.

哪句话正确表达“这组票中的每一张都有效”？

1. Everyone of these tickets is valid.
2. Every one of these tickets are valid.
3. Every one of these tickets is valid.

蕨类植物因为没有浇水而枯萎。哪个后续句明确表示仙人掌也因为同一个原因而枯萎？

1. On the other hand, the cactus wilted too.
2. At the same time, the cactus wilted too.
3. For the same reason, the cactus wilted too.

哪一项最能说明句中为什么使用 winning the lottery twice？

1. Winning the lottery twice 很罕见，但并非不可能。
2. Winning the lottery twice 在数学上不可能。
3. Winning the lottery twice 对几乎每个人来说都是经常发生的事。

用目标短语 one example where 补全句子：This town is just ____ free buses have reduced traffic.

在这个句子中，哪种理解最符合 actually aren't unlikely at all？

1. 它们每次都必然发生。
2. 它们完全不可能发生。
3. 它们的发生概率并不像起初看上去那么低。

使用 difficult 和 not as ... as 结构补全句子：After reading the instructions, Maya realized the task wasn't ____ it first seemed.