수학동아 - 폴리매스

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함께 풀고 싶은 문제

창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.

[창의 퍼즐] 사각형의 중점과 대각선

△π 2020.04.04 07:48 조회 498

문제 푼 사람 0명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

사각형 ABCD 에서 네 변 AB, BC, CD, DA와 대각선 AC, BD의 중점을 각각 E,F,G,H,M,N이라 하자. 점 M을 지나고 BD와 평행한 직선과 점 N을 지나고 AC에 평행인 직선의 교점을 O라고 하면 네 사각형 HOAE, BEOF, FOGC, HOGD의 넓이는 모두 같음을 보여라.

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