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수학동아 - 폴리매스
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함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [HME]연속된 자연수의 합
은총알 2020.01.21 03:24 조회 635
문제 푼 사람 0명
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페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

HME 수학학력평가 2016년도 하반기 25번 문제입니다.(한 번에 다 내면 해결이 없을 것 같아서 따로 낼게요)

 

자연수 p를 두 개 이상의 연속된 자연수의 합으로 나타낼 때, 연속된 자연수 중에서 가장 작은 자연수가 a, 가장 큰 자연수가 b인 경우를 f(p)=(a,b)라 하자. 예를 들어 10=1+2+3+4이므로 f(10)=(1,4)이다. f(360)=(m,n)을 만족하는 (m,n)은 모두 x개이고, m과 n의 차가 가장 클 때의 n의 값을 y라 할 때, xy의 값을 구하여라.

 

답만 써도 되고, 풀이를 쓰면 좋고..

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