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Function: driver
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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Function: initiateCache
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: model
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Line: 559
Function: get_footer
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
△π
2020.04.04 22:18
조회 491
사각형 ABCD에서 CD와 AB의 교점이 E,BC와 AD의 교점이 F다.
삼각형BEC와 삼각형CDF의 외접원의 교점이 M(물론 M이 C는 아니겠죠?)일때, 다음이 성립함을 보여라.
(1) (A, B, M, F)와 (A, E, M, D)는 공원점이다.
(2) M에서 AB, BC, CD, DA 에 내린 수선의 발은 공선점이다.
(3) O2, O3, O3, O4 가 각각 삼각형BEC, 삼각형 CDF, 삼각형 AED, 삼각형ABF의 외심일 때,
(M, O1, O2, O3, O4)는 공원점이다.
지금 바로
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