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Function: require_once

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Function: getComment

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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [기하?]끝 없는 정사각형(대한수학회 문제를 보고)
△π 2020.05.15 00:21 조회 674
문제 푼 사람 0명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

대한수학회 31번 "끝 없는 직사각형"을 보고 만든 문제입니다.

출제자는 이 문제 포기했습니다ㅠ

이 문제 또한 출제자도 모르지만 그냥 내는 문제입니다

대한수학회 31번 문제 바로가기>>>http://www.polymath.co.kr/contents/view/1223

오일러가 만든 공식에는 이런 내용이 있습니다.

\frac{\pi ^{2}}{6}=\sum_{k=1}^{\infty}\frac{1}{(k)^{2}}=\frac{1}{1^{2}}+\frac{1}{2^{2}}+\frac{1}{3^{2}}\cdots

그러면, 이렇게 생각해봅시다.

반지름이 1인 원 모양 바퀴를 하나 준비합니다. 그리고 이 바퀴에 페인트를 묻힌 후, 한 바퀴 굴립니다.

이제 그 표시를 한 변으로 하는 정사각형을 그립니다.

그러면, 이 정사각형을 한 변이 1/1인 정사각형 6개, 한 변이 1/2인 정사각형 6개, 한 변이 1/3인 정사각형 6개...를 무한히 준비합니다.

자, 그러면 이 정사각형들로 아까 바퀴로 그린 정사각형을 모두 채울 수 있을까요?

이 문제 어떠셨나요?

글쎄요

0

어려워요

0

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  •  
    sicma Lv.11 2020.05.15 01:10

    A PHP Error was encountered

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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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    Function: require_once

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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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    Function: getLatexImg

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    공식이 이상한데요...

    \frac{\pi^{2}}{6}=\sum_{k=1}^{\infty}\frac{1}{k^{2}}이에요.

    댓글 작성하기 좋아요0 댓글수1
    •  
      △π Lv.9 2020.05.15 01:17

      흠...감사합니다

      왜 제가 저렇게 적어놨을까요?

      좋아요0
  •  
    sicma Lv.11 2020.05.15 01:18 비밀댓글
    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수0
  •  
    sicma Lv.11 2020.05.15 01:28 비밀댓글
    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수1
    •  
      △π Lv.9 2020.05.15 01:46 비밀댓글
      비밀 댓글이 등록 되었습니다!

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