수학동아 - 폴리매스

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함께 풀고 싶은 문제

창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.

[창의 퍼즐] [기하] 언제나 볼록사각형

△π 2020.08.31 19:51 조회 416

문제 푼 사람 0명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

삼각형 ABC의 변 BC 위의 점 P와 변 CA 위의 점 Q에 대하여, 세 삼각형 ABP, APQ, CPQ의 내심을 각각 I, J, K라 할 때, 사각형 PIJK는 항상 볼록사각형임을 보여라. 단, P, Q는 삼각형 ABCABC의 꼭짓점이 아니다.

이전글 [창의]약

다음글 [정수?] 계산기로 장난치다 발견한 것 (출제자도 모름)

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