[중등인강 1위] [중등 수학] 피타고라스의 정리 유클리드의 증명

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  • เผยแพร่เมื่อ 14 พ.ย. 2024

ความคิดเห็น • 142

  • @성이름-u9e1o
    @성이름-u9e1o 5 ปีที่แล้ว +169

    유클리드 미친쉑...

    • @바둑님
      @바둑님 4 ปีที่แล้ว +11

      ho roro 그개 아니라 저걸 증명했다는게 미쳤다는건데..

    • @donghee515
      @donghee515 4 ปีที่แล้ว +1

      @@FTC-i8i 찐

    • @두루마리휴지-w4s
      @두루마리휴지-w4s 4 ปีที่แล้ว +1

      @@FTC-i8i Wls?

    • @윤지성-v4z
      @윤지성-v4z 4 ปีที่แล้ว +1

      @@바둑님 ㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋ

    • @윤지성-v4z
      @윤지성-v4z 4 ปีที่แล้ว

      @@FTC-i8i 잘란척하다갘ㅋㅋㅋㅋㅋㅋ참교육을너무 당해버렸네 ㅋ

  • @아니라느뇽오라가짜아
    @아니라느뇽오라가짜아 7 ปีที่แล้ว +88

    헐 선생님 감사합니다 저 정말 학원도 그만두고나서 공부 안하다가 이제 막 스스로 해보려니까 유클리드 방법을 문제집을 풀어보려해도 이해가 안가고 진짜 너무 답답해서 눈물ㅋㅋㅌ났었는데 이거 보니까 이해가 팍 됐어요ㅜㅠㅠㅠㅠㅠㅠㅠ감사해요ㅜㅜㅠㅠㅠㅠㅠ

    • @김준성-y3o
      @김준성-y3o 4 ปีที่แล้ว +1

      눈물없인 볼 수 없다ㅠㅠㅠㅠ

    • @poonjelhong878
      @poonjelhong878 3 ปีที่แล้ว

      그니까여ㅋ

  • @xxoooxxxxx
    @xxoooxxxxx 6 ปีที่แล้ว +49

    대박이다 진짜.. 이 부분 하나도 이해 안 갔었는데
    한번에 이해 됬다.. 왜 이게 넓이가 같은 지 합동인 지 그런 이유까지 알려주시니까 확 알겠어요
    진짜 짱..

  • @홍현표-s7f
    @홍현표-s7f 3 ปีที่แล้ว +16

    2:47 시작

  • @박성빈-g7n
    @박성빈-g7n 5 ปีที่แล้ว +18

    중1인데 이해가 된다...
    설명 진짜...말이 안나옴

    • @John-hu3xm
      @John-hu3xm 2 ปีที่แล้ว

      지금은 고1이네?

    • @박설화-u3u
      @박설화-u3u 22 วันที่ผ่านมา

      너가 집중을 해서 그럼 저거 똑같이 중2 애들한테 해도 멍때리다가 이해 못 했다고 하는 애들 많음

  • @휴아-z2k
    @휴아-z2k 2 ปีที่แล้ว

    와 진짜 감사합니다ㅠㅠ 다른건 다 이해가 됐는데 이부분은 하나도 이해가 안됬거든요ㅠㅠㅠ 진짜 사랑해요 쌔뮤ㅠ

  • @김지윤-u1k3b
    @김지윤-u1k3b 4 ปีที่แล้ว +2

    a 제곱이 왜 그 사이에 들어가는지 설명을 안해주신게 아쉽네요

  • @pa_ping
    @pa_ping 5 ปีที่แล้ว +2

    와 진짜 학원에서도 학교에서도 친구들도 죄다 A²+B²=C²라고만 해서 답답했는데! 어림짐작하던게 설명되니 쉽네요^^

  • @백경자-h5v
    @백경자-h5v 4 ปีที่แล้ว +1

    와우 초5인 나도 이해가되는 피타고라스의 정리;;어제랑 오늘이랑 몇번이나 돌아보는중ㄲㅋ

  • @고래-j9c
    @고래-j9c 4 ปีที่แล้ว +15

    우와... 진짜 이해 짱 잘되는 강의 임! 완전 좋은디?

    • @liililllili
      @liililllili 4 ปีที่แล้ว +7

      얼마 받았어

  • @user-kq6kf6mi4l
    @user-kq6kf6mi4l 5 ปีที่แล้ว +15

    제가 피타고라스입니다 .
    앗 오타가 피자고파스 입니다

    • @1415이예찬
      @1415이예찬 5 ปีที่แล้ว +1

      아닙니다 피자고라니 입니다.

    • @트랭크스-t8g
      @트랭크스-t8g หลายเดือนก่อน

      ​@@1415이예찬아닙니다. 피고자라니 입니다.

  • @지각-l5s
    @지각-l5s 3 ปีที่แล้ว +1

    수박씨 강의 듣는데 이해가 안되서 왔더니 막힌 부분 다 뚫어주셔서 너무 좋아오ㅡ

  • @백정윤-d4q
    @백정윤-d4q 5 ปีที่แล้ว +3

    이해 너무잘되네요 감사합니다

  • @pico_min0615
    @pico_min0615 4 ปีที่แล้ว

    이 영상 보고 이해가 너무 잘됐어요

  • @신하늘-v6z
    @신하늘-v6z 4 ปีที่แล้ว +1

    이해가 정말잘되요!

  • @핑팡퐁-n5i
    @핑팡퐁-n5i 2 ปีที่แล้ว

    김동욱 선생님.. 언제 수학선생님이 되신겁니까..
    (지나가던 고3)

  • @tv..6531
    @tv..6531 4 ปีที่แล้ว

    x^2+y^2=z^2을 만족하는 자연수 해는 (x, y, z) = (s^2+2st, 2t^2+2st, s^2+2t^2+2st) 이다.
    (증명)
    이것은 1993년 가을에 학교 도서관에서 잠깐 휴식을 취하는 중에 독자적으로 발견한 방법이다.
    솟수 p에 대하여 x^p+y^p=z^p을 만족하는 자연수 해가 존재한다면 (x, y, z)=(v+pk, w+pk, v+w+pk) 형식이다.
    따라서 p=2인 경우, x^2+y^2=z^2을 만족하는 자연수 해가 존재한다면 (x, y, z)=(v+2k, w+2k, v+w+2k) 형식이다.
    (x, y, z)=(v+2k, w+2k, v+w+2k)를 x^2+y^2=z^2에 대입하면
    vw=2k^2 을 얻을 수 있는데, k=st 형식의 두 수의 곱으로 나타낼 수 있으므로
    v, w에 v=s^2, w=2t^2 을 분배해도 일반성을 잃지 않는다.
    따라서 (x, y, z) = (s^2+2st, 2t^2+2st, s^2+2t^2+2st)
    라는 해를 갖게 됨을 알 수 있다.
    .
    참고로 이것은 널리 알려진 (x, y, z) = (m^2-n^2, 2mn, m^2+n^2)와 동급이다.
    x = s^2 + 2st = (s+t)^2 - t^2
    y = 2t^2 + 2st = 2(t+s)t
    z = s^2 + 2t^2 + 2st = (s+t)^2 + t^2
    .
    이제 s+t = m, t = n으로 놓으면
    x = m^2 - n^2
    y = 2mn
    z = m^2 + n^2
    .

    (x, y, z) = (s^2+2st, 2t^2+2st, s^2+2t^2+2st) 와
    (x, y, z) = (m^2-n^2, 2mn, m^2+n^2) 는
    동급의 해 임을 알 수 있다.

    • @TV-lc1lw
      @TV-lc1lw 4 ปีที่แล้ว

      뭔 소리인지 간단하게 설명좀ㅜㅜㅜ (뭐라는지 모르겠음)

  • @이거-o4g
    @이거-o4g 4 ปีที่แล้ว +2

    합동은 길이와 각도가 같다는건가요?

    • @jangajjimaneuljong4398
      @jangajjimaneuljong4398 4 ปีที่แล้ว +1

      그냥 완전히 같은거 모양같고 크기같고 각도 같고

    • @이거-o4g
      @이거-o4g 4 ปีที่แล้ว

      Jangajji Maneuljong 감사합니다

  • @dhk3960
    @dhk3960 5 ปีที่แล้ว +4

    26살인데 수학 인강 해설 이해가 되는 수준까지내려가보자 하고 고3꺼부터 한단계씩 내려가고있는데 좀 더 내려가야겠다..

    • @dhfrrkqt
      @dhfrrkqt 4 ปีที่แล้ว +1

      아앗...

  • @kdroucifaycal3476
    @kdroucifaycal3476 11 หลายเดือนก่อน

    나는 알제리 출신이고 나는 중학교에서 이것을 공부하고 당신은 고등학교에서 이것을 공부합니다

  • @안정우-c1d
    @안정우-c1d 4 ปีที่แล้ว +1

    설명 잘하시네요 감사합니다.

  • @Leejm-y4z
    @Leejm-y4z 4 ปีที่แล้ว

    이해 너무 잘되었습니다 감사합니다.

  • @땔깜-r7l
    @땔깜-r7l 4 ปีที่แล้ว +4

    나의 행동방식
    1.이해완료
    2.행동실천 준비
    3.으아아아아아ㅏㅏㅏㅏㅏㅣㅣ

  • @user-hz9nu9wm8n
    @user-hz9nu9wm8n 4 ปีที่แล้ว +1

    내일 시험보는데 유클리드 해결됬다!
    이해 엄청 잘됨!!!

  • @응가-l6z
    @응가-l6z 3 ปีที่แล้ว

    와 진짜 짱👍

  • @JW-ub8kp
    @JW-ub8kp 4 ปีที่แล้ว

    일목요연하게 잘 설명해주시네요, 귀에 쏙쏙 들어옵니다👍🏻

  • @나라-t8h
    @나라-t8h ปีที่แล้ว

    이쌤이다 설명 개잘함

  • @oliver-hl1vm
    @oliver-hl1vm 3 ปีที่แล้ว

    좋습니다.

  • @ksawasal4739
    @ksawasal4739 2 ปีที่แล้ว

    3:19 대답해 드리는 게 인지상정

  • @별아름-e5p
    @별아름-e5p 4 ปีที่แล้ว +2

    ㅋㅋㅋ훌륭하시네여...ㅎㅎㅎ

  • @심사-w7y
    @심사-w7y 4 ปีที่แล้ว

    왜 피타가 만든거 가지고 4개씩이나 쪼개서 문제를 더 만드는건지..

  • @jangsarah2496
    @jangsarah2496 หลายเดือนก่อน

    29살에 갑자기 궁금해져서 찾아보는 내인생ㅋㅎㅋㅎㅋㅎㅋㅎㅎㅋ 너무 재밋다 헣

    • @pyo_c
      @pyo_c หลายเดือนก่อน

      전아직도 중2 ㅋㅋㅋㅋㅎㅎ하하핳ㅎ

  • @김아현-e3p
    @김아현-e3p 3 ปีที่แล้ว +1

    이게 내 미래구나.. 2021년 기준 중1인데 망했다

  • @햄1-u5l
    @햄1-u5l 4 ปีที่แล้ว

    그래서 오른쪽에 작은 정사각형이랑 밑에 기다란 직사각형의 넓이는 왜 서로 같죠?

    • @themis4860
      @themis4860 3 ปีที่แล้ว

      왼쪽의 정사각형 증명했던 방법과 똑같은 방식으로 하시면 됩니다 큰 그림으로 한번 그려보시면 이해가 되실거에요

  • @kimchanho_2400
    @kimchanho_2400 4 ปีที่แล้ว

    저기 초6인데 궁금해서 왔거든요? 근데 왜 쉽져 그만큼 이해하기 쉽게 얘기하시는건가

  • @hansol99816
    @hansol99816 7 ปีที่แล้ว

    선생님 고마워요 새해 복 많이 받으세요

  • @어어-x4m
    @어어-x4m 6 ปีที่แล้ว

    우와 진짜 고맙습니다ㅠㅠ 수학 공부에 많은 도움 됐어요 정말 고맙습니다 💕

  • @user-yq5vc4vy2p
    @user-yq5vc4vy2p 4 ปีที่แล้ว +8

    아니 개정되서 중3에서 중2로 내려왔네 ㅋㅋㅋ 수고

    • @밍밍쓰-b8t
      @밍밍쓰-b8t 4 ปีที่แล้ว

      아 나 중1인데 망할

    • @bluerecordplayer4468
      @bluerecordplayer4468 4 ปีที่แล้ว

      뒷목잡))

    • @최윤재-u3f
      @최윤재-u3f 4 ปีที่แล้ว +1

      중2 피타는 쉬움 어려운건 도형의 닮음하고 웅용해서그러지

  • @user-eg1vx7oh1p
    @user-eg1vx7oh1p 6 ปีที่แล้ว +3

    □CIHB = □ LBGM 인 이유를 알수있을까요?

    • @벅친우
      @벅친우 6 ปีที่แล้ว

      그러게요

    • @1조먹또먹
      @1조먹또먹 6 ปีที่แล้ว +1

      □EDCA+□CIHB=□ABGF 라서요

  • @은혁-f2c
    @은혁-f2c 4 ปีที่แล้ว +1

    현재 초6인데 알아들어버렸당;

  • @현준-n7h
    @현준-n7h 4 ปีที่แล้ว

    짱!

  • @hyobin_0103
    @hyobin_0103 5 ปีที่แล้ว +8

    ㄹㅇ 존나 피타고라스 하면서 이딴걸 왜 배워야하는지 존나 현타왔다

  • @박주하-r1q
    @박주하-r1q 6 ปีที่แล้ว

    감사합니다.....설명 너무 잘 하신다..

  • @mango46
    @mango46 4 ปีที่แล้ว +2

    피타고라스 암살할라다가 참았네요

    • @TV-lc1lw
      @TV-lc1lw 4 ปีที่แล้ว +1

      저는 그러려다 이미 죽은지 오래된 사람인거 알고 실망했... 아니다, 그냥 참는게 속 편하겠네요

  • @user-yw3nw6qd7g
    @user-yw3nw6qd7g 4 ปีที่แล้ว

    와 설명 완전 잘하세요.. 감사합니다

  • @mintychoco9062
    @mintychoco9062 3 ปีที่แล้ว

    이거 중등 몇 학년꺼인가요?

    • @user-jh5is2so2b
      @user-jh5is2so2b 3 ปีที่แล้ว

      중학교 2학년 과정입니다

  • @박지원-p7t5k
    @박지원-p7t5k 4 หลายเดือนก่อน

    저게 왜 저렇게 돼는건가요?
    그냥 외워 (선생한테 실제로 들은 말)

  • @본계정-i1x
    @본계정-i1x 4 ปีที่แล้ว

    이야.. 설명진짜 예술

  • @mxxnlonxx_9
    @mxxnlonxx_9 5 ปีที่แล้ว

    쌤 이해 완전 쏙쏙 되구요 감사드립니다ㅠㅜㅜ최고에요ㅠㅜㅜ

  • @앙앙-m5p
    @앙앙-m5p 8 ปีที่แล้ว +4

    먼가 랜딩닮았다

  • @꼬북이-p8l
    @꼬북이-p8l 2 ปีที่แล้ว

    이 부분이 현재 중학교 몇학년 과정에서 나오는건가요?

  • @구라치
    @구라치 6 ปีที่แล้ว

    조건:a,b,c=(자연수)님들 짝수,홀수로 피타고라스를 증명했어요(짝수,홀수에 개념에서 증명)
    a제곱+b제곱=c제곱 양변에 2을 곱함
    2a제곱+2b제곱=2c제곱
    2곱하기(자연수)+2곱하기(자연수)=2곱하기 (자연수) a,b,c=(자연수)입니다
    2곱하기(자연수)=(짝수)
    (짝수)+(짝수)=(짝수)
    2곱하기(짝수)=(짝수) 2곱하기(자연수)이니깐
    2곱하기(자연수)=(짝수)
    (짝수)=(짝수)

    • @두루마리휴지-w4s
      @두루마리휴지-w4s 4 ปีที่แล้ว

      뒷북이지만 그렇게 하면 2제곱 + 3제곱 = 4제곱

  • @Cardio-b1o
    @Cardio-b1o 8 ปีที่แล้ว +4

    어렵다

    • @joannachoi5850
      @joannachoi5850 5 ปีที่แล้ว +2

      진짜 답답할 정도로 자세히 설명하시네요

  • @김영창-l6b
    @김영창-l6b 4 ปีที่แล้ว

    CEA가 아니라 CEB아닌가요..?

  • @은봄-l2c
    @은봄-l2c 8 ปีที่แล้ว

    이해 잘된다!

  • @양진우-k9m
    @양진우-k9m 5 ปีที่แล้ว +2

    엠베고라스...엠클리드..

  • @찐월드-d8g
    @찐월드-d8g 5 ปีที่แล้ว

    이해너무잘가요 잘보고갑니다 ~~

  • @M416-r5r
    @M416-r5r 5 ปีที่แล้ว

    쌤 감사합니다

  • @John-hu3xm
    @John-hu3xm 2 ปีที่แล้ว

    아하!

  • @난앓아요-x2q
    @난앓아요-x2q ปีที่แล้ว

    와우

  • @이연-z3n
    @이연-z3n 4 ปีที่แล้ว

    2:12 내가 보던곳

  • @gurakim1592
    @gurakim1592 4 ปีที่แล้ว +1

    피타고라스 개 쉽던데 ㄹㅇ 모르네 은근

  • @user-pk990
    @user-pk990 5 ปีที่แล้ว +1

    와 감사합니다 ㅜㅜㅜㅜㅜ

  • @동근-y1f
    @동근-y1f 3 ปีที่แล้ว

    23살인데 너무 공부 안해서
    하나도 모르겠다 다음주 회사에서 기본적으로 필요한데

  • @박규용-k6j
    @박규용-k6j 6 ปีที่แล้ว +1

    왜. 평행한 선에서 삼각형의 넓이는 항상 같나요?

    • @Onlyzaraperson
      @Onlyzaraperson 6 ปีที่แล้ว +2

      밑변과높이가 같기때문이죠

    • @hspark8850
      @hspark8850 5 ปีที่แล้ว +2

      아주 좋은 질문이네요.

    • @평평신-e3h
      @평평신-e3h 4 ปีที่แล้ว

      @@hspark8850 음?

  • @junkh7105
    @junkh7105 3 ปีที่แล้ว

    역대 최약의 인강 이랄까?

  • @권소정-g6q
    @권소정-g6q 7 ปีที่แล้ว +1

    대박 킹갓.........

  • @로널드위즐리
    @로널드위즐리 5 ปีที่แล้ว +3

    피타 고라떨어져스

  • @XIZXI
    @XIZXI 5 ปีที่แล้ว

    와 쉽다!!
    감사합니다

  • @nyang_02
    @nyang_02 3 ปีที่แล้ว

    왜 초딩도 이해가 되죠?

  • @snuhoho
    @snuhoho ปีที่แล้ว +1

    뚫어뻥

  • @이원겸-q7c
    @이원겸-q7c 8 ปีที่แล้ว +6

    와 이해개잘됭

  • @function-nb5ze
    @function-nb5ze 4 ปีที่แล้ว

    어떻게 사람이 저런생각을 하는가?

  • @김예나-w9p
    @김예나-w9p 4 ปีที่แล้ว

    뭐야 엠베스트 오지네

  • @곽춘배-c1p
    @곽춘배-c1p 6 ปีที่แล้ว +2

    와 안배웠는데 이해가될정도면 얼마나 잘 말하시는거임ㅋㅋㅋ

  • @수학바보-b7f
    @수학바보-b7f 4 ปีที่แล้ว +1

    Scp??

  • @sumschan
    @sumschan 5 ปีที่แล้ว +3

    아 도형극혐 ㅠㅠㅠㅠㅠㅠㅠㅠ

  • @신짱구-s1i
    @신짱구-s1i 6 ปีที่แล้ว

    대박

  • @wsa2749
    @wsa2749 6 ปีที่แล้ว

    감사합니당

  • @jungsookim9564
    @jungsookim9564 ปีที่แล้ว

    선생님 말이 너무 느려요

  • @성빈-d8g
    @성빈-d8g 4 ปีที่แล้ว +1

    아니 배우지도않았는데 전부 이해됬어 ㅋㅋㅋ
    합동조건이랑 평행조건알면 다 이해될듯..

  • @spuiybn
    @spuiybn 3 ปีที่แล้ว

    BHC

  • @TV-oo1kf
    @TV-oo1kf 2 ปีที่แล้ว

    아진짜

  • @aass1047
    @aass1047 5 ปีที่แล้ว

    피타고라스 쉽누

  • @M416-r5r
    @M416-r5r 5 ปีที่แล้ว

    선 잘그린다

  • @유진-j5j
    @유진-j5j 5 ปีที่แล้ว +1

    유클리드 ^^ㅣ벌 쉑..

  • @일상의꿀팁
    @일상의꿀팁 6 ปีที่แล้ว

    유튜엠 강의쌤ㅋㅋ

  • @다뇽-p3g
    @다뇽-p3g 6 ปีที่แล้ว +1

    여잔줄

  • @문수진-p1r
    @문수진-p1r 7 ปีที่แล้ว

    조아요

  • @봉봉봉-r8g
    @봉봉봉-r8g 4 ปีที่แล้ว

    인투디어노오오오오옹오오오온

    • @봉봉봉-r8g
      @봉봉봉-r8g 4 ปีที่แล้ว

      오오오옹옹ㅇ오오오오온

    • @이-i2b3f
      @이-i2b3f 4 ปีที่แล้ว

      잼딱이 좀 디졌으면

  • @내심박수를믿어
    @내심박수를믿어 2 ปีที่แล้ว

    반말 너무 거슬려요.

  • @seonmichin8846
    @seonmichin8846 5 ปีที่แล้ว +1

  • @이종규-d1i
    @이종규-d1i 6 ปีที่แล้ว

    쉬운걸 어렵게 설명하네.

    • @민트연합부회장
      @민트연합부회장 6 ปีที่แล้ว +7

      뭐여 어려운걸 잘 설명하시고 있는데
      시비충이냐?

    • @소현-z8m
      @소현-z8m 5 ปีที่แล้ว

      @병신보면존나지랄함 구구님이 말하시는거는 지금 이걸 배우고 있는 학생분들에게는 쉽게 설명하는거라고 생각하시는것 같은데요..?

    • @happy_S2_
      @happy_S2_ 5 ปีที่แล้ว

      @병신보면존나지랄함 존나 쉽게 가르친건데ㅋㅋㅋ그냥증명이 아니라 유클리드증명법인데? 이과생이 저게어려우면 모고 7등급은 나오냐?ㅋㅋㅋㅋ

    • @user-pk990
      @user-pk990 5 ปีที่แล้ว

      @병신보면존나지랄함 고등학생이 이거 보면 공부를 얼마나 못하는걸까?ㅋㅋㅋㅋ 이과생 맞아?ㅋㅋㅋㅋ

    • @최윤서-l7k
      @최윤서-l7k 5 ปีที่แล้ว

      @병신보면존나지랄함 ㅋ

  • @넥슨계정-q2o
    @넥슨계정-q2o 4 ปีที่แล้ว +1

    와 진짜 감사합니다 ㅜㅜㅜㅜㅜ