수학동아 - 폴리매스

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함께 풀고 싶은 문제

나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.

[문장제 문제&개념응용] 함수가 좋아 등산간 이야기

Htamction 2021.05.31 04:41 조회 482

문제 푼 사람 1명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

'현수'는 함수가 너무 좋아서 정확히 최고차항의 계수가 -1인 사차함수 f(x)와 일치하는 산에 갔다. 첫번째 봉우리를 넘은 후 나오는 높이가 가장 낮은 곳에서 지표면에 내린 수선의 발과 지표면과 접하는 부분을 A, 첫번째 정상에서 지표면에 내린 수선의 발과 지표면과의 교점을 B, 두번째 정상에서 지표면에 내린 수선의 발과 지표면의 교점을 C라 할때 선분 OB=선분 BA= 선분 AC = a(a>0) 였다고 한다. $\int_{2a}^{3a}f'(x) dx=16$ 일때 a의 값은?

(단, 산의 시작점을 원점(O)으로 둔다.)

이전글 온클하는 정철이는 찍신이야!

다음글 사슴벌레와 맛있는 곤충젤리

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JM Lv.6 2021.05.31 23:05 비밀댓글

비밀 댓글이 등록 되었습니다.

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소(가 넘어가는)수 Lv.6 2021.06.09 01:50

와 열정 대단....

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