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Function: driver
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [대수]ㅅAㄴ술평균과 Gㅣ하평균
△π
2020.05.14 02:14
조회 759
어떤 수 x,y에 대해 x,y의 산술 평균을 A(x,y)라 하고, 기하 평균을 G(x,y)라 하자.
삼각형의 세 변의 길이 a,b,c에 대해(단, a는 b이상, b는 c 이상)
G(a,2A(a,b)-G(a,b))+G(b,2A(a,c)-G(a,c))+G(c,2A(b,c)-G(b,c))의 값은 이 삼각형의 각 변을 루트 2배 확대한 삼각형의 넓이에서 내접원의 길이를 나눈 값보다 크거나 같음을 보여라.
지금 바로
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