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...
2014 AIME II真题及答案解析
2014 AIME II真题 答案解析请参考文末 Problem 1 Abe can paint the room in 15 hours, Bea can paint 50 percent faster than Abe, and Coe can paint twice as fast as Abe. Abe begins to paint the room and ...
2014 AIME I真题及答案解析
2014 AIME I真题 答案解析请参考文末 Problem 1 The 8 eyelets for the lace of a sneaker all lie on a rectangle, four equally spaced on each of the longer sides. The rectangle has a width of 50 mm and ...
2015 AIME II真题及答案解析
2015 AIME II真题 答案解析请参考文末 Problem 1 Let be the least positive integer that is both percent less than one integer and percent greater than another integer. Find the remainder when is divid...
2015 AIME I真题及答案解析
2015 AIME I真题 答案解析请参考文末 Problem 1 The expressions = and = are obtained by writing multiplication and addition operators in an alternating pattern between successive integers. Find the po...
2016 AIME II真题及答案解析
2016 AIME II真题 答案解析请参考文末 Problem 1 Initially Alex, Betty, and Charlie had a total of peanuts. Charlie had the most peanuts, and Alex had the least. The three numbers of peanuts that each...
2016 AIME I真题及答案解析
2016 AIME I真题 答案解析请参考文末 Problem 1 For , let denote the sum of the geometric seriesLet between and satisfy . Find . Problem 2 Two dice appear to be normal dice with their faces num...
