수학동아 - 폴리매스

함께 풀고 싶은 문제

나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.

[문장제 문제&개념응용] 이상한 그림

RTAI 2021.05.07 22:28 조회 452

문제 푼 사람 0명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

그림과 같이 한 변이 4cm 인 정삼각형이 있다. 점 M,N 은 각각 한 변의 중점일때, 선분 NP 의 길이는?

(문제에 문제가 있으면 문의하세요!)

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이 문제 어떠셨나요?

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수학싫은데좋아요 Lv.5 2021.05.08 00:22

저 이제 중2수학 배우고 있어서 삼각형 배우는데 못풀겠네요

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- RTAI Lv.7 2021.06.20 21:31
  
  이건 고1 문제입니다
  
  좋아요0
222 Lv.9 2021.05.08 07:54 비밀댓글

비밀 댓글이 등록 되었습니다.

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- RTAI Lv.7 2021.05.08 17:22 비밀댓글
  
  비밀 댓글이 등록 되었습니다!
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222 Lv.9 2021.05.08 08:04 비밀댓글

비밀 댓글이 등록 되었습니다.

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- RTAI Lv.7 2021.05.08 17:47 비밀댓글
  
  비밀 댓글이 등록 되었습니다!
연어의 서재 Lv.5 2021.05.09 00:10

이건 방멱 사용하면 즉각적으로 해결 가능=> 분명 단순문제의 여지 존재하지 않나도 합니다.

기본적으로 방멱의 경우 중등 개념 활용시에도 원리 단시간 내에 증명 가능하기야는 한데 그림으로 보면 공식 미암기시 연상되어질 리 만무합니다.

(결론: 이건 중3 개념 학습 중이라 가정해도 왠만해서는 절대 못풉니다)

저도 kmo 이론 학습 이전에는 저 문제 해결은 수 회는 중도 포기하였던걸로 기억합니다.

물론 여타 원리도 활용 가능하여야 함은 당연하겠고요

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- RTAI Lv.7 2021.05.09 01:25
  
  방멱이... 뭐죠? 글을 이해 못 하겠네요...
  
  좋아요0
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Amath Lv.8 2021.05.13 21:06 비밀댓글

비밀 댓글이 등록 되었습니다.

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Amath Lv.8 2021.05.13 21:08

문제가 재밌네요.

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Amath Lv.8 2021.05.13 21:09

사실 많이 어려운 문제는 아닌 것 같아요.

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JM Lv.6 2021.06.19 05:50 비밀댓글

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비밀 댓글이 등록 되었습니다.

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- RTAI Lv.7 2021.06.20 21:31
  
  대체 왜들 이게 쉬운 문제라고 하는 거죠? 쉽고 단순문제라면 맞춰 보시라고요
  
  좋아요0
- JM Lv.6 2021.06.21 20:49
  
  혹시 다른분들도 틀다곳 지적 부탁드립니다. 출제자가 오답처리해서 확인차 공개댓글로 올립니다.
  
  좋아요0
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JM Lv.6 2021.06.21 20:48 비밀댓글

확인요청중

비밀 댓글이 등록 되었습니다.

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- RTAI Lv.7 2021.06.21 22:00 비밀댓글
  
  비밀 댓글이 등록 되었습니다!
- JM Lv.6 2021.06.22 01:59
  
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  비율로 푸신거 같은데 2:np+2=np:2 이걸로 이차방정식 만들어 푼거 아닌가요? 그러면 ( $-2\pm \sqrt{20}$ )/2 이렇게 나오고 그게 제 답 아닌가요? 길이는 양수니깐 (-2+ $\sqrt{20}$ )/2
  
  이게 $\sqrt{5}$ - 1
  
  좋아요0