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함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 1.문제 제곱수들의 합
pure math 2022.01.19 03:59 조회 323
문제 푼 사람 1명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

우리가 아는 매우 흔한 수학 정리로는 피타고라스의 정리가 있다. 하지만, 자연수의 제곱수 중에는 피타고라스의 정리가 성립하지 않는 것도 있다. 이 문제를 변형 시키겠다. 그래서, 문제는 36이상의 제곱수는 그 제곱수보다 작은 제곱수 4개 이상을 + -로만 사용해서 나타낼 수 있느냐?(굳이 다 사용 안해도 됨) 예)36=25+16-9+4

이 문제 어떠셨나요?

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  •  
    다시 도전
    생갈치1호 Lv.5 2022.01.22 21:02 비밀댓글
    비밀 댓글이 등록 되었습니다.
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    •  
      pure math Lv.7 2022.01.22 21:21

      모든 제곱수에 대해서 증명을 해야 합니다!

      좋아요0
    •  
      생갈치1호 Lv.5 2022.01.22 21:34

      혹시 36 대신 6^2 이라고 적으라고 하시는 건가요?

      좋아요0
    •  
      pure math Lv.7 2022.01.22 21:36

      아뇨 지금 원주율님이 증명하신 건 8의 제곱인 64에서만 증명을 하신 겁니다. 고로, 81, 100....1089같은 모든 제곱수에도 이것이 성립하느냐?라는 것을 증명해야 하는 것이죠.

      좋아요0
  •  
    다시 도전
    생갈치1호 Lv.5 2022.01.22 21:37 비밀댓글
    비밀 댓글이 등록 되었습니다.
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    •  
      생갈치1호 Lv.5 2022.01.22 21:38 비밀댓글
      비밀 댓글이 등록 되었습니다!
    •  
      pure math Lv.7 2022.01.22 21:39

      2번째 다신 글이 비밀댓글이라 저도 볼 수 없어요...

      좋아요0
  •  
    해결
    우까 Lv.4 2022.01.25 20:45 비밀댓글

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    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수5
    •  
      pure math Lv.7 2022.01.25 21:07

      혹시...저 아시나요?

      좋아요0
    •  
      우까 Lv.4 2022.01.25 21:12

      누구세요?

      좋아요0
    •  
      pure math Lv.7 2022.01.25 21:14

      제가 원했던 완벽한 풀이입니다...!

      저 풀이는 아는 사람들에게만 알려드렸는데...

      좋아요0
    •  
      우까 Lv.4 2022.01.25 21:16

      어..예..감사합니다.

      아무튼 누구신지는 잘 모르겠지만 잘 풀었다니 다행이군요

      좋아요0
    •  
      pure math Lv.7 2022.01.25 21:23

      그렇군요...굳!

      좋아요0

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