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Function: driver
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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Line: 22
Function: driver
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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Function: initiateCache
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: _error_handler
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: model
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: _error_handler
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: model
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: getFloatingMyInfo
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Line: 559
Function: get_footer
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
디듀우
2019.01.01 17:05
조회 683
어떤 정수 m, n에 대해 좌표평면 상에 (m, n)의 꼴로 나타낼 수 있는 점을 격자점이라고 하자. 어떤 직선을 2개 이상의 격자점을 지나면서 무한히 많은 격자점을 지나지 않게 할 수 있을까?
-
Yu
Lv.1
2019.01.01 20:18
원점을 지나는 무리수 기울기의 직선이라면 격자점을 지나지 않게 되지 않을까요?
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디듀우
Lv.7
2019.01.01 23:35
문제에 오타가 있었네요... 2개 이상의 격자점을 지나야 합니다.
좋아요0
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아인수타인
Lv.12
2019.01.02 06:28
불가능할 것 같은데... 어떤 2개 격자점을 지나면 기울기가 유리수가 돼 버리니까 졸지에 무한히 지나게 돼 버릴 것 같은데요?
좋아요0
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I
Lv.1
2019.01.03 07:43
불가능한 것 같아요
직선의 기울기는 일정하기 때문에
점이 좀 더 아래에 있는 점의 좌표를 (a,b), 좀 더 위에 있는 점의 좌표를 (c,d)라고 하면(같은 높이라면 무한히 지남)
점 (2c-a, 2d-b), (3c-2a, 3d-b), ... (nc-(n-1)a, nd-(n-1)b) (n은 자연수) 를 무한히 지날 것 같아요
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I
Lv.1
2019.01.03 07:45
(1,2) (2, 5)를 지난다고 치면
(3, 8), (4, 11), (5, 14), ... 을 무한히 지나요
좋아요0
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디듀우
Lv.7
2019.01.04 01:39
좋아요0
지금 바로
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