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수학동아 - 폴리매스
본문바로가기
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 3번의 칼질로 5명이 피자를 나눠먹기(해결되긴 했지만, 다른 풀이도 찾아봐요!)
디듀우 2019.09.14 23:59 조회 756

이 문제의 전통적인 해결방법은 피자를 십자 모양으로 자른 뒤 한 번의 칼질로 4명을 만드는 것이다. 하지만 이번에는 수학적인 방법을 찾아보자.

직교좌표계 위에 단위원이 있으며 또한 3개의 직선을 그어 이 원 내부의 구역을 나눈다. 원의 넓이를 5등분하는 방법을 찾으시오. (단, 구역이 5개일 필요는 없고, 5개 이상의 구역을 잘 묶었을 때 각 묶음에 포함된 구역의 넓이 합이 같은 5개의 묶음이 되는 것도 가능하다.)

 

이 문제 어떠셨나요?

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어려워요

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  •  
    바람개비 Lv.5 2019.09.15 08:17 비밀댓글
    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수2
    •  
      디듀우 Lv.7 2019.09.16 03:09

      생각보다 간단하게 답이 나왔네요! 해결!

      좋아요0
    •  
      디듀우 Lv.7 2019.09.16 03:10

      일단은 비댓으로 바꿔주세요!

      좋아요0
  •  
    김우현 기자 Lv.5 2019.09.16 18:41

    디듀우 친구, 해결 딱지를 부착했는데, 붙이는 거 맞나요~??surprise

    댓글 작성하기 좋아요0 댓글수1
    •  
      디듀우 Lv.7 2019.09.17 01:24

      붙이셔도 돼요!

      좋아요0
  •  
    김우현 기자 Lv.5 2019.09.16 18:44

    트위터에서는 한 일본인 이용자(@mathlava)가 ‘원을 3등분하는 방법 선수권 대회’를 열었다네요~.

    비슷한 컨셉인 것 같아 수상작을 올려봅니다. 일본어로 쓰였지만, 그림만 봐도 알 수 있을 거예요.laugh

     

     

    댓글 작성하기 좋아요0 댓글수1
    •  
      디듀우 Lv.7 2019.09.17 01:25

      감사합니다! 아주 재미있네요!

      좋아요0
  • 폴리매스 문제는 과학기술진흥기금 및 복권기금의 재원으로 운영되고, 과학기술정보통신부와 한국과학창의재단의 지원을 받아 수행된 성과물로 우리나라의 과학기술 발전과 사회적 가치 증진에 기여하고 있습니다.

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