矢量和Addition of vectors

常用词汇

同义词与近义词

常用短语与固定搭配

• add … by simply adding …：通过简单相加来加……。原文用法：Two vectors cannot be added by simply adding their magnitudes.
• in this consideration：在这种考虑中。原文用法：important in this consideration.
• come upon：偶然遇到。原文用法：Johnson came upon eight husky tribesmen.
• on the verge of exhaustion：精疲力竭。原文用法：on the verge of exhaustion.
• from the front / from the rear：从前部 / 从后部。原文用法：four pushed a mired Land Rover from the front and four pushed it from the rear.
• without moving the vehicle an inch：一英寸也没移动。原文用法：without moving the vehicle an inch.
• be impressed with：对……印象深刻。原文用法：The natives were much impressed with Johnson's ability…
• move forward：向前移动。原文用法：it moved forward quite easily.

常用句式

• Pattern: X cannot be … by simply …ing …：不能通过简单地……来……。原文例句：Two vectors cannot be added by simply adding their magnitudes.
• Pattern: … were much impressed with … when …：当……时，……对……印象深刻。原文例句：The natives were much impressed with Johnson's ability to rearrange vectors when he placed all eight men behind the Land Rover.

长难句解析

One day, in central Africa, Johnson came upon eight husky tribesmen on the verge of exhaustion as four pushed a mired Land Rover from the front and four pushed it from the rear without moving the vehicle an inch.

• 主干：Johnson came upon eight tribesmen.
• 修饰与从句：

- One day, in central Africa 为时间和地点状语； - husky 修饰 tribesmen； - on the verge of exhaustion 为介词短语，描述土著人的状态； - as four pushed a mired Land Rover from the front and four pushed it from the rear 为时间状语从句，说明遇到时的场景； - without moving the vehicle an inch 为伴随状语，表示结果。

• 逻辑关系：先交代时间地点，再说明约翰逊遇到的人及其状态，最后描述当时发生的情景（推车却不动）。

语言使用特点

• 使用正式的连接词 “inasmuch as” 引出原因，适合学术书面语；
• 用具体场景化语言（husky, on the verge of exhaustion, mired Land Rover）增强画面感；
• 结尾用 “quite easily” 与前文 “without moving the vehicle an inch” 形成鲜明对比，突出矢量方向的重要性。

迁移练习

1. 用 “X cannot be … by simply …ing …” 写一句话，说明学习数学不能只靠记忆公式。
2. 用 “be impressed with” 写一句话，描述你对故事中约翰逊做法的看法。
3. 翻译：两个矢量不能通过简单相加它们的大小来相加，因为矢量的方向也很重要。