為什麼不能除以零？ - TED-Ed：英語精讀講義

請用本課完全相同的話題界定框架完成開場句：____ robotics, even tiny errors can matter.

一名遊戲設計者重新規定了計分方式。哪一句話能準確描述這種情況？

1. The designer decides to break the rules.
2. The designer decides to change the rules.
3. The designer decides to follow the rules.

用被動警告結構完成句子：For safety, visitors ____ enter the closed area.

哪一個片語正確讀出算式 18 ÷ 6？

1. eighteen divided into six
2. eighteen divided by six
3. six divided by eighteen

下列哪個開場問題最恰當地用 How can...? 引出一個可以透過解釋來回答的意外謎題？

1. Can you put this seed in the blue pot?
2. How can a tiny seed grow into a tree taller than a house?
3. Where is the packet of seeds?

用表示「越來越響」的重複比較級結構完成句子：The music grew ____ as the parade came closer.

在這組連續算式中，By 1 millionth 補充完整後是什麼？

1. 1 millionth divided by 10
2. 10 divided by 1 millionth
3. 10 multiplied by 1 millionth

用本課表示「列舉還會繼續」的片語完成句子：We need paper, pencils, folders, ____.

哪一句把某個條件呈現為暫時推論，而不是已經證明的事實？

1. We have proved that every battery runs down faster in the cold.
2. It seems like if the battery gets colder, it runs down faster.
3. Every battery definitely runs down faster in the cold.

用 keep + changing 的正確形式完成句子：The weather ____ throughout the day.

請用本課片語完成句子，這個片語表示「經歷完整的下降範圍，直到零」：The gauge fell ____.

這句話中的否定疑問句主要傳達什麼？

1. 它把無限大說成說話人預期聽起來很自然的結論。
2. 它證明了除以零等於無限大。
3. 它沒有暗示任何答案，只是開放地詢問。

哪一句表示某個解釋聽起來合理，但尚未獲得證實？

1. The explanation is certainly true, so no evidence is needed.
2. The explanation may sound plausible, but we still need evidence.
3. The explanation is easy to hear, but hard to understand.

一個腳印只能證明有人來過，卻不能證明是誰。哪一句把結論限制在證據範圍內？

1. We know exactly who was here.
2. All we really know is that someone was here.
3. The footprint proves that nobody was here.

一個數值越來越接近零，但可能永遠不等於零。哪一句表達得最準確？

1. The value moves away from zero.
2. The value tends towards zero.
3. The value is equal to zero.

用標示出的框架補完整句子：The forecast says rain is possible. That is ____ it will definitely rain.

用 be equal to 結構完成等式：Twelve divided by three ____ four.

用目標表達 take a closer look at 完成邀請：Let's ____ the evidence.

請用詢問所需重複次數的片語補全問題：____ must we add 4 together to make 20?

哪一個句子明確表示某個過程會反向還原另一個過程？

1. Unzipping a jacket is the reverse of zipping it up.
2. Unzipping a jacket happens after zipping it up.
3. Unzipping a jacket is similar to zipping it up.

在說明「Choose a given value for x」中，given 是什麼意思？

1. 當作禮物收到
2. 事先指定或選定
3. 一直在變化

哪個句子表示復原修改後恢復了原來的狀態？

1. Undoing the update got us back to where we started.
2. Undoing the update moved us to a new stage.
3. Undoing the update forced us to start from scratch.

哪一個數是 5 的乘法反元素？

1. -5
2. 1/5
3. 0

請用本課的四字英文片語補完整句子；這個片語用來溫和地引導聽眾注意可觀察到的特徵：____, both bars reach the same height.

請用表示乘法結果的名詞完成數學句子：The ____ of 4 and 3 is 12.

完成「目標—必要行動」框架：If we want to protect our passwords, we ____ keep them private.

請用本課的確切結構 such a number that 完成這段數學描述：We need ____ doubling it gives twelve.

下面哪個完整關係子句與 anything multiplied by zero 意思相同？

1. anything that has multiplied zero
2. anything that is multiplied by zero
3. anything that multiplies zero

請用表示「三角形沒有第四條邊」的確切 has no + 名詞片語完成句子：In ordinary geometry, a triangle ____.

在討論中，說話者問 Does that really settle things though? 是在做什麼？

1. 請某人把幾件物品排列整齊
2. 確認討論肯定已經結束
3. 質疑先前的結論是否徹底解決了問題

哪一句中的 after all 引出了支持前一句話的事實？

1. We should ask Leo for help; after all, he has fixed this problem before.
2. We cleaned the room after all.
3. After all the meetings, we finally made a decision.

用過去式的 no such thing as 結構完成句子：In 1900, ____ online banking.

使用 take + the square root + of 這個結構完成指令：To find the side length, ____ 81.

使用 define X as Y 和 called 完成定義及命名句：We ____ a polygon with three equal sides ____ a special triangle ____ an equilateral triangle.

哪一句中的 opened up a whole new world of 表示「出現了許多新的可能性」？

1. Amir opened up a box of old photographs.
2. Learning sign language opened up a whole new world of communication for Amir.
3. Amir opened the kitchen window.

請用表示 a + bi 形式數字的標準數學術語完成句子：Numbers such as 3 + 2i are called ____.

請用表示「想出一條新規則」的重點片語完成句子：Before our new game begins, let's ____.

哪一句中的 Say 用來引入暫時假設？

1. Lena said that each box was heavy.
2. Say that each box weighs five kilograms. What do four boxes weigh?
3. Say the number five clearly.

請用本課中表示「觀察未知結果」的三個字英文表達完成句子：Let's change one setting and ____.

哪一句清楚表示主要子句的主詞就是進行 imagining 的人？

1. Imagining that we knew nothing, the answer surprised us.
2. We explored the problem, imagining that we knew nothing about the usual solution.
3. The problem appeared on the screen, imagining that we knew nothing about the usual solution.

請用表示「以定義為依據」的目標片語補完整句子：____ a square, we know that it has four equal sides.

哪一句最明確表示「依照規則，這個結果在邏輯上是必然的」？

1. The result is equal to ten.
2. The result should be equal to ten.
3. The result must be equal to ten.

請用 should equal 完成句子，表達預期結果：After counting both teams' points, the total ____ thirty.

請用 by + 規則名稱完成說明：____, 3(x + 2) = 3x + 6.

請用 can + rearrange 的被動形式 + to 完成句子：The equation ____ x = 6.

請使用表示「化簡為」的確切口語片語完成句子：After combining like terms, the expression ____ 3x.

哪一句使用 while 對照兩個互相衝突的結論？

1. We waited inside while the storm passed.
2. The first report says the road is open, while the second says it is closed.
3. While the printer was running, I answered an email.

請用由 odd 構成、表示結果出乎意料的固定兩字片語完成句子：____, the old battery lasted longer than the new one.

“The plan is not necessarily wrong” 表示什麼？

1. 這個計畫一定是錯的。
2. 這個計畫一定是對的。
3. 這個計畫可能是錯的，也可能沒有錯。

哪一句把判斷限制在一個領域內，而沒有表示它在所有地方都不成立？

1. Ordinary arithmetic is not a true rule.
2. The rule is never true in any system.
3. The rule is not true in ordinary arithmetic.

請用表示「按照數學規則可以接受」的兩個英文單字完成句子：This unusual proof is ____.

哪一句使用 if + 過去式提出非事實條件，並用 would 說明結果？

1. Because the map was accurate, we reached the hotel.
2. If this map is accurate, we can follow it.
3. If every map were perfectly accurate, travelers would never get lost.

請用本課所學、表示「不如預期有用」的四字英文片語完成句子：The extra feature looks impressive, but it is ____ for most users.

句中的名稱 the Riemann sphere 指的是什麼？

1. 一種在複數平面上加入無窮遠點的數學模型。
2. 一條允許在普通算術中除以零的規則。
3. 一顆用來示範除法的一般實體球。

說話者想暫時略過一個不緊急的細節，繼續主要講解。哪一句最自然？

1. How the machine learned that trick is a story for another day.
2. How the machine learned that trick is a story from the other day.
3. How the machine learned that trick is a story on another date.

選擇最合適的轉折語：The software update will finish in an hour. ____, you can back up your files.

1. At the same time
2. In the meantime
3. For the time being

“The experiment didn't work out so great.” 是什麼意思？

1. 這個實驗非常成功。
2. 這個實驗的結果令人失望。
3. 這個實驗和運動有關。

請用 stop + 人 + from + -ing 結構完成句子：One mistake shouldn't ____.

用 experiment with + rearrange 的正確形式完成句子：The team is ____ the pieces to see what works best.

用 to see if... 這個目的結構完成句子：Let's test the materials ____ build a stronger bridge.

在下面的句子中，new worlds 最可能表示什麼？A good story gives readers new worlds to explore.

1. 新發現的行星
2. 用來存放書籍的新房間
3. 新的想法與想像中的可能性

用本課學到的複合形容詞補完整句子：The science show presents a ____ idea that challenges everything we assume about time.