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Function: driver
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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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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: model
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Function: get_footer
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.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+작도]이차함수+삼차함수, 작도
mwryan
2020.09.02 19:05
조회 580
(끌올입니다.)
그래프를 좋아하는 중성이는 자신이 만든 도자기 컵 밑면에 기계를 이용해 그래프를 인쇄했다. 첫 번째 그릇에 중심점을 맞춰 삼차함수를 인쇄했는데, 깜빡하고 축을 넣는 것을 깜빡했다. 그래서 다른 컵에 이차함수를 인쇄할 때는 축을 삽입했다.
[문제 1] 중성이는 이차함수에 접하면서 주어진 기울기를 가지는 직선을 작도하고자 한다. 작도하는 방법을 서술하여라.(참고: 접선은 눈대중으로 작도할 수 있는 게 아니다. 실제로 원의 접선도 지름의 수직선으로 작도를 한다.)
[문제 2] 중성이는 삼차함수가 그려진 컵의 중심점을 작도해서 삼차함수가 기함수가 되는 원점을 찾았다. 이제, 중성이는 x축과 y축을 작도하고자 한다. 과연 중성이는 작도할 수 있을까? 가능하다면 방법을 서술하고, 불가능하다면 증명하여라.
지금 바로
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