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Function: require_once

수학동아 - 폴리매스
본문바로가기
함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
[문장제 문제&개념응용] 간단한 대수 문제(러시안 룰렛? 1/2의 확률로 성공과 실패가 갈립니다.)
Funmaster 2022.08.09 00:58 조회 183
문제 푼 사람 0명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

문제는 다음과 같다.

 

1. x+y^2=1/12,y+3z^2=1/4,z-3/2x^2=1/3. Find out numbers that could benefit.(해석: 저 연립 방정식 풀어보세요.)

2.(순수하게 정말 몰라서 묻는 거) 지수 배우다 떠올랐는데,두 양수 x,y에 대해 xy+yx>1일 까요? 맞다면, 증명,아니면 반례 드시면 됩니다.

 

번외: 제목의 러시안룰렛의 뜻은 이 문제에 한 가지 담겨있습니다.

소문제 1개당 해결 드리려 했으나,그냥 2개 다 푸세요(1번은 그렇게 어렵진 않아서).

이 문제 어떠셨나요?

글쎄요

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어려워요

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  •  
    다시 도전
    17수락 Lv.9 2022.08.09 08:24 비밀댓글
    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수0
  •  
    Funmaster Lv.7 2022.08.09 08:46

    x,y는 양수에요...

    댓글 작성하기 좋아요0 댓글수0
  •  
    부분해결
    17수락 Lv.9 2022.08.09 08:54 비밀댓글
    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수4
    •  
      Funmaster Lv.7 2022.08.09 08:56

      1번도 해결해보세요!

      좋아요0
    •  
      17수락 Lv.9 2022.08.09 08:57

      1번에서 괄호가 아무것도 없는거죠?

      그러니까 X+(Y의 제곱) 이 1/12이고 이런거죠?

      좋아요0
    •  
      Funmaster Lv.7 2022.08.09 08:58

      네. 맞습니다.

      좋아요0
    •  
      17수락 Lv.9 2022.08.09 09:01

      1번은 모르겠네요(지수있는거에 약해서)

      부분해결이라도 주세요

      좋아요0
  •  
    Amath Lv.8 2022.08.09 17:47

    우선 2번에서 크다가 아니라 이상이에요. 

    댓글 작성하기 좋아요0 댓글수4
    •  
      Funmaster Lv.7 2022.08.09 18:56

      제가 몰라서 그런데,1이 되는 경우 하나 들어주실 수 있나요?

      좋아요0
    •  
      Amath Lv.8 2022.08.10 03:41

      @Funmaster

      x=1, y=0

      좋아요0
    •  
      Funmaster Lv.7 2022.08.10 04:06

      ...양수라고 했어요...(어쩐지...)

      좋아요0
    •  
      Amath Lv.8 2022.08.10 04:43

      @Funmaster

      아... 양수네요. 

      좋아요0
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