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...
2002AIME II真题及答案解析
2002AIME II真题及答案解析 答案解析请参考文末 Problem 1 Given that??and??are both integers between??and?, inclusive;??is the number formed by reversing the digits of?; and?. How many distinct values...
2002AIME II真题及答案解析
2002AIME II真题及答案解析 答案解析请参考文末 Problem 1 Given that??and??are both integers between??and?, inclusive;??is the number formed by reversing the digits of?; and?. How many distinct values...
2002AIME I真题及答案解析
2002AIME I真题及答案解析 答案解析请参考文末 Problem 1 Many states use a sequence of three letters followed by a sequence of three digits as their standard license-plate pattern. Given that each thr...
2003AIME II真题及答案解析
2003AIME II真题及答案解析 答案解析请参考文末 Problem 1 The product??of three positive integers is 6 times their sum, and one of the integers is the sum of the other two. Find the sum of all possibl...
2003AIME I真题及答案解析
2003AIME I真题及答案解析 答案解析请参考文末 Problem 1 Given that where??and??are positive integers and??is as large as possible, find? Problem 2 One hundred concentric circles with radii??are drawn...
