無限大有多大？ - 丹尼斯·威爾德福格爾 (Dennis Wildfogel)：英語精讀講義

When I was in fourth grade 在這句話中有什麼作用？

1. 它表示這件事反覆發生。
2. 它說明老師為什麼說那句話。
3. 它為過去發生的事件設定時間背景。

使用 as many ... as 結構，並在比較子句中重複 there are：There are ____ blue cards ____ red cards.

哪一句能自然表達「質數的數量沒有盡頭」？

1. There are infinite many prime numbers.
2. There are infinitely much prime numbers.
3. There are infinitely many prime numbers.

哪個選項使用“on the other hand”引出了真正的對比？

1. The laptop is light. On the other hand, it is easy to carry.
2. The laptop is light. On the other hand, I bought it on Tuesday.
3. The laptop is light. On the other hand, its battery life is short.

哪一句正確說明了例句中的集合關係？

1. Every whole number is even.
2. Even numbers and whole numbers are exactly the same set.
3. The even whole numbers make up only part of the whole numbers.

用 left over 的正確形式完成句子：After everyone takes one cookie, two ____.

請用本課中表示「there must be」的口語表達完成句子：The totals do not match, so ____ a mistake somewhere.

請用本課中表示「試圖傳達背後重點」的表達完成句子：I understand your example now, and I see what you're ____.

用 what it means for ... to ... 這個句型完成句子：Engineers must decide ____ a bridge to be safe.

一位簡報者想停下來釐清自己所說的「計畫很有彈性」。哪個問題表達了正確的意思？

1. What do I mean when I say the plan is flexible?
2. What do you mean when you say the plan is flexible?
3. When do I say that the plan is flexible?

午餐已經提供，但也可以自己帶食物。哪一句表示帶食物沒有必要，而不是被禁止？

1. You don't have to bring food; lunch is provided.
2. You can't bring food; lunch is provided.
3. You mustn't bring food; lunch is provided.

你有一份姓名清單和一組照片。哪一個指令正確使用代名詞 them，表示把姓名和照片配對？

1. Match them up with the correct photos.
2. Match up them with the correct photos.
3. Match them out with the correct photos.

哪一句表示每筆客戶資料都與一筆不同的帳戶資料配對？

1. Customer records are checked one by one before lunch.
2. Each customer record is matched with every account record.
3. Each customer record is matched one to one with an account record.

哪一句包含外層修飾 scientists 的關係子句，並在其中包含修飾 language 的第二個關係子句？

1. The scientists, who carried audio recorders, studied a language and recorded its stories.
2. The scientists studied a language that has no written form, and they recorded its stories.
3. The scientists, who studied a language that has no written form, recorded its stories.

一隻狗正在門邊等著，可以自己走到外面。哪一句是在請別人允許牠離開屋子？

1. Please get the dog out of the house.
2. Please let the dog out of the house.
3. Please take the dog out of the house.

用表示「持續掌握」的片語完成句子：Use this chart to ____ your weekly reading time.

用 by + set aside 的 -ing 形式完成句子：You can save for the trip ____ a little money each week.

請用表示「分開、依序」的重點片語完成句子：The coach checked the helmets ____.

哪一句自然地用 if 設定情境，並用 to + 動詞說明目的？

1. If you put the seed by the window for give it more light, check the soil each day.
2. If you put the seed by the window to give it more light, check the soil each day.
3. If you to put the seed by the window give it more light, check the soil each day.

哪一個句子正確地把一個動作與其目的連接起來，接著間接詢問是否有遺漏？

1. Check the list for you know if any names are missing.
2. Check the list so that knowing if any names are missing.
3. Check the list so that you know if any names are missing.

在這句話中，As another example of ... 表示什麼？

1. 說話人正在轉向一個無關的話題。
2. 說話人正在修正先前的主張。
3. 說話人正在加入一個支持同一觀點的新例子。

哪一句中的 packed 表示一個場所裡擠滿了人？

1. We packed our costumes into two suitcases.
2. The lunches were packed before sunrise.
3. The auditorium was packed with excited families.

哪一句在地點名詞後直接使用 where，說明那裡發生的事？

1. The room that we reserved for meetings is upstairs.
2. We asked where the meeting was.
3. The room where we hold our meetings is upstairs.

哪一句承認確切總數未知，但仍保留「可以比較」這項結論？

1. Because the exact total is unknown, the two groups cannot be compared.
2. Even if the exact total becomes known, the two groups can be compared.
3. Even though the exact total is unknown, the two groups can still be compared.

在這句話中，is that 後面的資訊有什麼作用？

1. 它為 two sets are the same size 這個說法提供精確定義。
2. 它帶入一個與該說法無關的獨立主題。
3. 它表示說話者不確定這個說法是否有任何含義。

哪一句表示卡片被排列並展示成一條直線？

1. The cards were spread randomly across the table.
2. The cards were laid out in a row on the table.
3. The cards were put back into a box on the table.

簡報者正在展示一張圖表。哪一句最自然地把聽眾的注意力引向看得到的趨勢？

1. As you can see, the red line rises after June.
2. To change the subject, the red line rises after June.
3. I cannot show you the chart, but the red line rises after June.

哪一句正確表示鉛筆和筆記本的數量相同？

1. There are as many pencils as there are notebooks.
2. There are as many pencils than there are notebooks.
3. There are as much pencils as there are notebooks.

哪一句正確使用 what 子句，把主要的擔憂放在句首？

1. The missing safety report concerns the team.
2. The team is concerned about the missing safety report.
3. What concerns the team is the missing safety report.

你還沒有測試這個新方法，只想描述初步印象。哪一句最合適？

1. The new method used to be effective.
2. The new method seems to be effective.
3. The new method is definitely effective.

講者使用「But does this convince you ...?」主要是在做什麼？

1. 他在表示這項主張已經得到證明。
2. 他在確認聽者是否有聽清楚這些詞。
3. 他在要求聽者判斷證據是否真的支持這項主張。

請用本課的四字詞組補完整句子，表示這個可能的失敗無關緊要：____ our first plan fails; we can try a different one.

哪一句先提出條件，再說明符合條件時使用的名稱？

1. If every side is equal, then we say the triangle is equilateral.
2. We say every side is equal if the triangle is equilateral.
3. If every side is equal, then we measure the triangle carefully.

請使用以 make 開頭、表示「列出並組成清單」的四字片語完成句子：Can you ____ the materials we need for the experiment?

哪一句在 not obvious 後面正確使用了兩個並列的「疑問詞 + to + 不定詞」子句？

1. It's not obvious to where begin or to how organize the files.
2. It's not obvious where begin or how organizing the files.
3. It's not obvious where to begin or how to organize the files.

The trail was steep. 哪一句最適合引出與這項困難形成對比的結果？

1. Nevertheless, we reached the top before sunset.
2. Therefore, we reached the top before sunset.
3. For example, we reached the top before sunset.

哪一句先突出發明物，再說明研發者？

1. The safety device first developed a small research team in 2005.
2. A small research team was first developed by the safety device in 2005.
3. The safety device was first developed by a small research team in 2005.

使用 put ... into a grid 完成這個英文句子：Please ____ to make the menu easier to scan.

哪一句用插入語 say 引出一個例子？

1. The display says ten.
2. Choose a number, say, ten, and double it.
3. Say the number ten clearly.

聽英文句子，選出你聽到的分數。注意 over 前後的兩個數字語塊。

1. The fraction is one hundred seventy over two hundred forty-three.
2. The fraction is one hundred seventeen over two hundred thirty-four.
3. The fraction is one hundred seventeen over two hundred forty-three.

用構成 make A out of B 結構的兩個英文單字完成句子：The children made a puppet ____ a paper bag.

哪個句子用 back and forth 表示在相反方向之間反覆移動？

1. The fan turned once and then stopped.
2. The fan turned back and forth as it cooled the room.
3. The fan stayed in one position all afternoon.

用本課的片語動詞完成指示：When checking the list, ____ any names that appear twice.

哪一句正確描述了 2/4 和 1/2 的關係？

1. The fraction two fourths represents the same number as one half.
2. The fraction two fourths is written exactly the same way as one half.
3. The fraction two fourths represents a different number from one half.

這句話中的 which means 有什麼作用？

1. 修正並否定前面的結果。
2. 引入一個與過程無關的新步驟。
3. 解釋剛才提到的結果具有什麼意義。

哪個片語可以正確完成句子？The database needs ___ customer records and account numbers.

1. a one-to-one match between
2. a one-on-one match between
3. a one-to-one match among

請用由四個英文單字組成的正式讓步片語完成句子：The outdoor concert continued ____ heavy rain was falling.

說話者說 "Here's where it gets really interesting" 時，主要在做什麼？

1. 表示講解已經完全結束
2. 表示下一部分值得特別注意
3. 提供前往實際地點的方向

請完成標準的數學說法：Mark the point ____ the number line.

「Not all real numbers are fractions」表示什麼？

1. 沒有任何實數是分數。
2. 每個實數都是分數。
3. 至少有一個實數不是分數；這句話並未說所有實數都不是分數。

請用 call 的被動形式完成定義：A shape with three sides ____ a triangle.

請用本課中用來弱化語氣的確切片語完成這句非正式澄清：I'm not angry ____; I just need a minute.

請用本課的確切目標片語完成句子：Fractions such as 3/4 are ____.

寒冷不是原因，下雨才是真正原因。哪個句子表達了這種更正？

1. The picnic moved indoors not because it was cold, but because it started to rain.
2. The picnic moved indoors because it was cold, but not because it started to rain.
3. The picnic moved indoors not only because it was cold, but also because it started to rain.

哪一項描述符合 infinite non-repeating decimal？

1. 它的小數位在有限位之後終止。
2. 它的小數位無限延伸，並依固定循環節重複。
3. 它的小數位無限延伸，但沒有固定循環節。

用 both ... and ... 完成句子：The course covers ____ grammar ____ pronunciation.

原句強調了哪一個更強的結論？

1. 我們只是暫時不知道方法，但任務仍可能完成。
2. 我們知道方法，只是決定不做這項任務。
3. 任務本身不可能完成，而不只是我們不知道該怎麼做。

suppose you claim 在論證中有什麼作用？

1. 指責聽者故意說謊。
2. 宣布這項主張已經得到證明。
3. 暫時設定一項主張，以便檢驗它會產生什麼後果。

在解說中，I'm going to show you that ... 有什麼作用？

1. 預告接下來的步驟將要證明的主張。
2. 引出一個無關的故事。
3. 表示所有證明步驟都已經省略。

使用 by 和 calculate 的正確形式完成句子，說明採用的方法：We checked the result ____ it twice.

用 one ... at a time 結構中缺少的詞完成句子：Let's solve the problem one step ____.

用表示「如果那個條件不成立」的連接詞完成第二個分支：If the card is red, put it in pile A. ____, put it in pile B.

在課堂上，講者已經示範了前三個步驟，接著問：「See how this is going?」講者最可能是在做什麼？

1. 宣布這個過程已經失敗
2. 確認聽眾是否看出正在形成的規律
3. 詢問聽眾能否看見遠處的物體
4. 請聽眾說明自己最近過得如何

請用表示「名列賓客清單」的標準片語完成句子：The host checked and said, “Yes, your name is ____.”

完成 A is different from B 結構：This answer is ____ mine.

哪一句表示路線可以改變，但結果仍然相同？

1. No matter what route we take, we will get home before dark.
2. We will get home before dark only if we take this route.
3. What route should we take to get home before dark?
4. Because we took this route, we got home before dark.

用 be faced with 的正確形式完成句子：After reading the report, we are ____ a difficult decision.

用 cannot + put 的被動形式完成句子：These records ____ the public list.

關於星星和黑暗的這組明喻，主要有什麼作用？

1. 它證明每顆星星都恰好代表一個分數。
2. 它表示無理數的顏色真的就是黑色。
3. 它宣稱有理數只能用於天文學。
4. 它把兩類數之間的抽象差異轉化為視覺對比。

在這條數學敘述中，for any infinite set 是什麼意思？

1. 這個命題只適用於選中的一個無限集合。
2. 這個命題只適用於有限集合。
3. 這個命題適用於每一個無限集合。
4. 說話者不確定無限集合是否存在。

哪一項正確說明了原集合的子集合？

1. 子集合的元素數量一定比原集合少。
2. 子集合只包含屬於原集合的元素。
3. 子集合必須至少包含一個不屬於原集合的元素。

用表示「條件一滿足」的目標字完成這個流程句：____ you know the password, you can log in.

請用表示「同一規律繼續」的三個字補完句子：Count by twos: 2, 4, 6, 8, ____.

哪一項正確拆解了 an infinite number of infinities of different sizes？

1. 只有有限多個無限，而且它們的大小都相同。
2. 存在無限多個無限，而且這些無限的大小不同。
3. 只有一個無限，它由無限多個大小構成。
4. 一個普通數字裡包含幾個大小不同的無限。

哪一句正確使用 make + 受詞 + 形容詞來描述某件事造成的感受？

1. The sudden silence made everyone nervously.
2. The sudden silence made everyone nervous.
3. The sudden silence made nervous everyone.

朋友說：「This new school feels scary.」在這種回應中，「You're not alone」最自然的作用是什麼？

1. 批評朋友不應該感到害怕。
2. 安慰朋友，表示其他人也有相同的感受。
3. 確認附近正站著另一個人。
4. 叫朋友不要尋求協助，自己解決問題。

在句子“The writers of Shakespeare's day performed for very different audiences,”中，of Shakespeare's day 是什麼意思？

1. 來自莎士比亞生活和創作的那個時代
2. 只在白天，而不是在夜晚
3. 與莎士比亞生日是同一個日曆日期

哪個句子正確使用 tried to make + object + adjective 來描述試圖達成的結果？

1. They tried to make the old rule irrelevantly.
2. They tried to make the old rule irrelevant.
3. They tried to make irrelevant to the old rule.

哪種情況最符合“The scientist was vilified personally”？”

1. 這位科學家的論文得到不帶評價的摘要。
2. 這位科學家收到一項關於某個計算的禮貌建議。
3. 這位科學家被公開描繪成一個非常糟糕的人。

用構成 so + 形容詞 + that + 結果結構的兩個字補完整句子：The backpack was ____ heavy ____ Mia could not lift it.

請用表示「反覆入住」的片語完成句子：Because of recurring complications, Maya was ____ the hospital for several months.

請用表示「最終占上風」的過去式片語動詞完成句子：After weeks of debate, the safer plan ____.

請用 consider 的現在簡單式被動語態完成句子：The treatment ____ safe.

哪個句子最恰當地運用三個並列子句，把主張的範圍從專家擴大到學習者，再擴大到新手？

1. Senior engineers use the checklist because trainees learn it.
2. All senior engineers use the checklist, every trainee learns it, and even first-time volunteers can follow it.
3. The checklist is detailed, but some volunteers find it confusing.

哪一句正確使用 common knowledge 表示「許多人已經知道的事實」？

1. It is common knowledge that the library closes at six.
2. It is common sense that the library closes at six.
3. It is a common knowledge that the library closes at six.

請用本課中表示「後面還有資訊」的兩字轉場補完整句子：I found one clue. ____. Another clue is hidden under the table.

請用表示「剛才已經清楚說明」的目標片語完成句子：As I ____, the rule has one exception.

哪一句正確轉述了一個間接疑問？

1. She wondered whether the result was correct.
2. She wondered whether was the result correct.
3. She wondered whether did the result seem correct.

請將 became、known 和 as 依正確順序填入句子：The old bridge ____ the Friendship Bridge.

請將 listed、the novel 和 as 依正確順序填入句子：The magazine ____ one of the year's best books.

哪一句自然地用時間段作主詞來組織一項歷史變化？

1. The 1990s saw rapid growth in internet use.
2. The 1990s saw the internet with their eyes.
3. The 1990s looked rapid growth in internet use.

哪一句正確使用了 paradigm-shattering？

1. The discovery was paradigm-shattering because it forced scientists to replace the basic theory.
2. The font change was paradigm-shattering because the letters became slightly larger.
3. The meeting was paradigm-shattering because it started five minutes late.

哪個句子在 showed 和 prove 後正確使用了巢狀的 that 子句？

1. The experiment showed that could not we prove that the drug caused the change.
2. The experiment showed that we could not prove that the drug caused the change.
3. The experiment that showed we could not prove that the drug caused the change.

哪個句子使用 Taken together，在得出結論前綜合多項證據？

1. Taken together, this one isolated number has no other evidence to combine.
2. Taken together, the rainfall data and river levels show a growing flood risk.
3. Taken together, Leo carried the box into the kitchen.

哪一句準確使用了 unanswerable？

1. I solved the question after one minute, so it was unanswerable.
2. No answer is possible within the rules of the system, so the question is unanswerable.
3. The problem is hard, but its solution appears at the back of the book.

使用所學的確切目標片語完成句子：After years of research, the discovery was ____ her scientific career.

哪一句使用 has its limitations 做出平衡的評價？

1. The study is helpful, so it has no limitations.
2. The study failed once, so it can never teach us anything.
3. The study is helpful, but it has its limitations.

哪一句使用 Still, 先承認困難，再補充一個正面的轉折點？

1. The test was hard. For example, the final question had three parts.
2. The test was hard. As a result, several people needed extra time.
3. The test was hard. Still, I learned a lot from it.

Nora 應該回答這個問題。用代名詞指 Nora，並使用動詞 answer 和「名詞 + for + 受詞 + to不定詞」結構完成句子：This is a question ____.