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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
Amath
2022.05.08 18:56
조회 211
판별식 1을 보고 오세요. (실제 이름은 '판별식 1'이 아니라 '판별식')
(이 문제에서는 절댓값 기호를 사용 가능해요. )
----O(x)의 특성에 관한 문제--------
문제 1. O(x)O(y)를 O('O(x)가 들어 있지 않은 x,y에 대한 식') 형태로 나타내어라.
문제 2. O(O(x)+O(y))를 위 문제에서 나타내라고 한 형태로 나타내어라.
문제 3. O(x)+O(y)-O(x)O(y)를 위 문제에서 나타내라고 한 형태대로 나타내어라.
이것을 이용하면, 많은 판별식을 O('O(x)가 들어 있지 않은 식') 형태로 나타낼 수 있다. 그러면, 판별식을 이용하여 조건 A를 만족하면 0이 아닌 수가, 아니면 0이 식의 값이 되는 식을 O(x)를 이용하지 않고 만들 수 있다.
(아직 위 글과는 관련없는 문제)
문제 4. x가 2의 배수일 때의 판별식을 O(x)를 사용하지 않고 나타내어라.
(단, x는 정수이다. )
문제 5. x가 4의 배수일 때의 판별식을 O(x)를 사용하지 않고 나타내어라. (x는 정수)
문제 6. x가 2ⁿ의 배수일 때의 x에 대한 판별식을 O(x)를 사용하지 않고 나타내어라. (x는 정수, n은 임의의 양의 정수)
지금 바로
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