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함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
[문장제 문제&개념응용] 1+1=1?
백곰 2021.05.10 17:45 조회 442
문제 푼 사람 2명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

유튜버 로지컬의 1+1=1을 증명하는 영상을 보고이 영상이 틀렸음을 증명하여보자.

(힌트 : 수2에서 배운 극한을 사용하여 주어진 과정을 무한히 반복하였을 때의 길이를 계산하자.)

이 문제 어떠셨나요?

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  •  
    해결
    시그마가싫어요 Lv.9 2021.05.10 23:43 비밀댓글
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  •  
    해결
    PF＿ Lv.8 2021.05.11 01:11 비밀댓글
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  •  
    수학싫은데좋아요 Lv.5 2021.05.12 01:23 비밀댓글
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  •  
    백곰 Lv.2 2021.05.12 18:03

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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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    Function: getLatexImg

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    Function: require_once

    많은 분들이 풀이를 적어주셨군요! (성은이 망극하옵니다(?) 저언하아)

    일단 제가 푼 풀이를 알려드릴게여

     

    처음 길이를 L(1), 두번째 길이를 L(2), ....라 하면 L(x) = \frac{2^x}{2^{x-1}},

    이때 이를 무한번 반복하였을 때의 길이는 \lim_{x\rightarrow \infty }\frac{2^{x}}{2^{x-1}} = 2이므로 1+1=2다.

     

    다들 정말 잘 푸셨네여 ㄷㄷㄷ... 이게 너튜브에 있었다니;; 내가 먼저 올렸어야 했는데

    댓글 작성하기 좋아요0 댓글수2
    •  
      PF＿ Lv.8 2021.05.15 00:41

      근데 왜 정답확인을 안해주시냐고요

      @백곰

      좋아요0
    •  
      시그마가싫어요 Lv.9 2021.06.11 08:54

      전 그냥 나무위키...

      좋아요0
  •  
    루돈 Lv.5 2021.07.11 20:21 비밀댓글
    확인요청중
    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수0
  •  
    역시나야 Lv.1 2022.01.29 08:43

    무한반복해도 하나의 선이 안될걷같은ㄷ....

    댓글 작성하기 좋아요0 댓글수0

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