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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [퍼즐]분노의 방탈출 8_모래시계
1. 도그킹덤의 문제를 해결하고 나오니 그때 jun이 갇혔던 감옥이 나왔다.
하지만 이번엔 마법의 막대가 아니라 모래시계 2개가 있었다.
송 선생님의 분석 결과 각각 8분과 13분이라고 한다.
쪽지에는 그 두 개의 모래시계를 개조하거나 깨지 말고 정확히 7분과 22분을 재라고 나와 있다.
7분과 22분을 재는 방법을 구하시오.
2. 이렇게 두 개의 모래시계를 이용하면 몇 번이고 이용한다면 모든 분을 잴 수 있을까?
만약 그렇지 않다면 반례를, 그렇다면 구체적으로 서술하시오.
3. 이와 비슷한 문제로 물통 채우기 문제가 있다. 물통 채우기 문제와 모래시계 문제는 다르다고 봐야 할까?
(연습 문제)
(진짜 문제)그렇다면 물통 채우기 문제로 8L짜리와 13L짜리 물통으로 7L를 만들 수 있을까?
오류가 있으면 댓글 주세요. 모든 문제 풀이 필수.
-
M.S
Lv.5
2021.04.15 19:21
비밀댓글
비밀 댓글이 등록 되었습니다.
-
노랑이
Lv.6
2021.04.15 19:44
비밀댓글
비밀 댓글이 등록 되었습니다.
-
PF＿
Lv.8
2021.04.16 02:49
아니 지금 약간 헷갈리는데요, 1,2,3번이 연습문제고 진짜 문제는 8L 13L그 문제인가요?
그리고 연습문제는 안 풀어도 되나요?
-
1, 2번: 진짜문제
'3. 이와 비슷한 문제로 물통 채우기 문제가 있다. 물통 채우기 문제와 모래시계 문제는 다르다고 봐야 할까?': 연습문제
'그렇다면 물통 채우기 문제로 8L짜리와 13L짜리 물통으로 7L를 만들 수 있을까?': 진짜문제
입니다.
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