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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [기하]단순문제는.. 내면 안되니까 ^^
유클리드
2020.09.02 07:44
조회 542
어느날 두 중캠을 공부하는 학생들이 서로 문제를 내주었다.
그런데 A가 B한테 낸 문제는 너무 단순문제라 B는 A가 낸 문제를 집어 던졌다.
B: 이딴 걸 문제라고 해!? 이건 너무 단순하잖아. 너, 다음부터 이런 문제 내면 진짜 확 때려 버린다!
A가 B한테 낸 문제는 다음과 같았다.
직각삼각형 ABC에 대하여 (각 A = 90도, AB>AC) 에서 BC의 중점을 M이라고 하고 A에서 BC에 내린 수선의 발을 D라고 하면, 각 BAD = 각 MAC 임을 증명하시오.
B: 이건 한 줄만에 풀리는 문제이잖아.
B: 근데 말이야, 이 문제 이렇게 하면 더 재밌어질 껄?
A: ?
B: 삼각형 ABC에 대하여(AB>AC) 에서 BC의 중점을 M이라고 하고 A에서 BC에 내린 수선의 발을 D라고 하면, 각 BAD = 각 MAC이라면 각 A = 90도 임을 보이시오.
문제: 여러분이 B의 문제를 풀어보세요! (위 그림은 관련이 없습니다)
-
mwryan
Lv.6
2020.09.02 19:10
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