1995AIME 真题及答案解析
1995AIME 真题及答案解析 答案解析请参考文末 Problem 1 Square is For the lengths of the sides of square are half the lengths of the sides of square two adjacent sides of square are perpendicula...
1996AIME 真题及答案解析
1996AIME 真题及答案解析 答案解析请参考文末 Problem 1 In a magic square, the sum of the three entries in any row, column, or diagonal is the same value. The figure shows four of the entries of a mag...
1997AIME 真题及答案解析
1997AIME 真题及答案解析 答案解析请参考文末 Problem 1 How many of the integers between 1 and 1000, inclusive, can be expressed as the difference of the squares of two nonnegative integers? Problem 2...
1998AIME 真题及答案解析
1998AIME 真题及答案解析 答案解析请参考文末 Problem 1 For how many values of is the least common multiple of the positive integers and , and ? Problem 2 Find the number of ordered pairs of posit...
1999AIME 真题及答案解析
1999AIME 真题及答案解析 答案解析请参考文末 Problem 1 Find the smallest prime that is the fifth term of an increasing arithmetic sequence, all four preceding terms also being prime. Problem 2 Consid...
2000AIME II真题及答案解析
2000AIME II真题及答案解析 答案解析请参考文末 Problem 1 The number can be written as where and are relatively prime positive integers. Find . Problem 2 A point whose coordinates are both integers...
2000AIME I真题及答案解析
2000AIME I真题及答案解析 答案解析请参考文末 Problem 1 Find the least positive integer such that no matter how is expressed as the product of any two positive integers, at least one of these two i...
2001AIME II真题及答案解析
2001AIME II真题及答案解析 答案解析请参考文末 Problem 1 Let be the largest positive integer with the following property: reading from left to right, each pair of consecutive digits of forms a perf...
2001AIME I真题及答案解析
2001AIME I真题及答案解析 答案解析请参考文末 Problem 1 Find the sum of all positive two-digit integers that are divisible by each of their digits. Problem 2 A finite set of distinct real numbers ha...
