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수학동아 - 폴리매스
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[R&E] 경기북과학고 택시 기하에서 삼각형의 넓이와 사면체의 부피 구하기
수학동아 2018.12.28 01:37 조회 1440

 

한 평면 위에 두 점이 있다. 두 점의 거리는 얼마일까? 길이를 재는 도구 자를 이용하면 두 점의 거리를 쉽게 구할 수 있다. 그러나 어떤 기하에서는 거리를 새롭게 정의하기도 한다. 비유클리드 기하학 중 하나인 ‘택시기하’가 바로 대표적인 예다. 경기북과학고 2학년 길철휘 외 4명은 택시기하에서 삼각형의 넓이와 사면체의 부피를 구하는 공식을 유도해 보기로 했다. 택시기하에서 삼각형의 넓이와 부피는 어떻게 구할까?

  • 폴리매스 문제는 과학기술진흥기금 및 복권기금의 재원으로 운영되고, 과학기술정보통신부와 한국과학창의재단의 지원을 받아 수행된 성과물로 우리나라의 과학기술 발전과 사회적 가치 증진에 기여하고 있습니다.

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