内容概述
19 世纪数学家奥古斯塔斯·德摩根(Augustus De Morgan)被人问及出生年份时,巧妙地答道:"在 x² 那年我 x 岁。"把这句话翻译成方程,就是 x² − x 等于他的出生年。这是一个典型的丢番图式问题——把一个看似谜语的条件化为关于整数 x 的方程,留给读者去解出德摩根的生年。
中文正文
86° 一个丢番图式的问题
数学家德摩根生活在 19 世纪,有人问他哪年出生的,他回答:"在 x² 那年我 x 岁。"那他生在哪年呢?*42
英文正文
86° A diophantine riddle. The mathematician Augustus De Morgan, who lived in the nineteenth century, when asked the year of his birth, countered with: "I was x years old in the year x²." When was he born?
英语学习拓展
常用词汇
diophantine音标/ˌdaɪəˈfæntaɪn/
丢番图的;丢番图式的。
原文用法:A diophantine riddle.
riddle音标/ˈrɪdl/
谜语。
原文用法:A diophantine riddle.
mathematician音标/ˌmæθəməˈtɪʃn/
数学家。
原文用法:The mathematician Augustus De Morgan...
century音标/ˈsentʃəri/
世纪。
原文用法:who lived in the nineteenth century
counter音标/ˈkaʊntə/
反驳;回嘴。
原文用法:countered with: "I was x years old in the year x²."
birth音标/bɜːθ/
出生。
原文用法:the year of his birth
同义词与近义词
常用短语与固定搭配
- in the year:在……年。原文用法:in the year x²。
- years old:……岁。原文用法:I was x years old。
- counter with:以……反驳;以……回嘴。原文用法:countered with: "I was x years old in the year x²."
- in the ... century:在……世纪。原文用法:who lived in the nineteenth century。
常用句式
- X, who lived in the Y century, when asked Z, countered with: "...":某人生活在某世纪,当被问及某事时,以……作答。原文例句:The mathematician Augustus De Morgan, who lived in the nineteenth century, when asked the year of his birth, countered with: "I was x years old in the year x²."
- When was he born?:他生于哪一年?原文用法:直接接在谜面之后,作为留给读者的问题。
长难句解析
The mathematician Augustus De Morgan, who lived in the nineteenth century, when asked the year of his birth, countered with: "I was x years old in the year x²."
- 主干:The mathematician Augustus De Morgan ... countered with: "..."。
- 修饰与从句:who lived in the nineteenth century 是非限定性定语从句,修饰 Augustus De Morgan;when asked the year of his birth 是省略了主语和助动词 he was 的时间状语从句。
- 逻辑关系:先交代人物与时代背景,再给出被问及出生年的情境,最后引出他那句以 x 和 x² 巧妙作答的话。
语言使用特点
- 数学家轶事常用"当被问及……时,他以……作答"(when asked ..., countered with ...)这类紧凑句式,引出关键引语。
- 标题中 A diophantine riddle 用斜体,强调这是故事的小标题或类别名。
迁移练习
- 用英文写出德摩根那句著名回答:"在 x² 那年我 x 岁。"
- 用 counter with 造一个日常对话中的英文句子。
- 用英文问一个关于"出生年"的小问题。
点击展开参考答案
- I was x years old in the year x².
- 示例:When I asked him about the missing file, he countered with a question about my own work.
- 示例:When was she born?