2009 AIME I真题及答案解析
2009 AIME I真题 答案解析请参考文末 Problem 1 Call a -digit number geometric if it has distinct digits which, when read from left to right, form a geometric sequence. Find the difference between the...
2010 AIME II真题及答案解析
2010 AIME II真题 答案解析请参考文末 Problem 1 Let be the greatest integer multiple of all of whose digits are even and no two of whose digits are the same. Find the remainder when is divided by . &...
2010 AIME I真题及答案解析
2010 AIME I真题 答案解析请参考文末 Problem 1 Maya lists all the positive divisors of . She then randomly selects two distinct divisors from this list. Let be the probability that exactly one of the...
2011 AIME II真题及答案解析
2011 AIME II真题 答案解析请参考文末 Problem 1 Gary purchased a large beverage, but only drank of it, where and are relatively prime positive integers. If he had purchased half as much and drunk twi...
2011 AIME I真题及答案解析
2011 AIME I真题 答案解析请参考文末 Problem 1 Jar A contains four liters of a solution that is acid. Jar B contains five liters of a solution that is acid. Jar C contains one liter of a solution tha...
2012 AIME II真题及答案解析
2012 AIME II真题 答案解析请参考文末 Problem 1 Find the number of ordered pairs of positive integer solutions to the equation . Problem 2 Two geometric sequences and have the same common rati...
2012 AIME I真题及答案解析
2012 AIME I真题 答案解析请参考文末 Problem 1 Find the number of positive integers with three not necessarily distinct digits, , with and such that both and are multiples of . Problem 2 The t...
2013 AIME II真题及答案解析
2013 AIME II真题 答案解析请参考文末 Problem 1 Suppose that the measurement of time during the day is converted to the metric system so that each day has metric hours, and each metric hour has metri...
2013 AIME I真题及答案解析
2013 AIME I真题 答案解析请参考文末 Problem 1 The AIME Triathlon consists of a half-mile swim, a 30-mile bicycle ride, and an eight-mile run. Tom swims, bicycles, and runs at constant rates. He runs...
