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수학동아 - 폴리매스
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함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
[문장제 문제&개념응용] 피타고라스 정리 확장하기
khr519 2021.05.03 00:35 조회 444

(피타고라스 정리에서 시작합니다)

 

직각삼각형의 각 변을 a,b,c 라고 하자. (빗변이 c)

 

1) a,b,c 를 각각 한 변으로 하는 닮음인 도형 3개의 넓이를 S(a),S(b),S(c) 라고 할 때, S(a)+S(b)=S(c) 임을 증명하시오.

 

2) a,b,c 를 각각 한 변으로 하는 정사각형에 내접하는 닮음인 도형 3개의 넓이를 S(a),S(b),S(c) 라고 할 때, S(a)+S(b)=S(c) 임을 증명하시오.

 

3) a,b,c 를 각각 한 변으로 하는 다각형에 내접하는 닮음인 도형 3개의 넓이를 S(a),S(b),S(c) 라고 할 때, S(a)+S(b)=S(c) 임을 증명하시오.

 

4) a,b,c 에 접하는 닮음인 도형 3개의 넓이를 S(a),S(b),S(c) 라고 할 때, S(a)+S(b)=S(c) 임을 증명하시오.

이 문제 어떠셨나요?

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어려워요

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  •  
    khr519 Lv.8 2021.05.03 00:37

    초록색 글자가 눈이 아프시면 수정하겠습니다.

    댓글 작성하기 좋아요0 댓글수1
    •  
      PMPI Lv.7 2021.05.03 01:02

      전 초록색 좋아해요^^

      좋아요0
  •  
    다시 도전
    피카파이 Lv.8 2021.05.03 23:46 비밀댓글
    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수1
    •  
      khr519 Lv.8 2021.05.04 00:23 비밀댓글
      비밀 댓글이 등록 되었습니다!
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