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...
2004AIME II真题及答案解析
2004AIME II真题及答案解析 答案解析请参考文末 Problem 1 A chord of a circle is perpendicular to a radius at the midpoint of the radius. The ratio of the area of the larger of the two regions into wh...
2004AIME I真题及答案解析
2004AIME I真题及答案解析 Problem 1 The digits of a positive integer are four consecutive integers in decreasing order when read from left to right. What is the sum of the possible remainders when ...
