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 ...
2005AIME II真题及答案解析
2005AIME II真题及答案解析 答案解析请参考文末 Problem 1 A game uses a deck of different cards, where is an integer and The number of possible sets of 6 cards that can be drawn from the deck is 6 ...
2005AIME I真题及答案解析
2005AIME I真题及答案解析 答案解析请参考文末 Problem 1 Six congruent circles form a ring with each circle externally tangent to two circles adjacent to it. All circles are internally tangent to a ci...
2006AIME II真题及答案解析
2006AIME II真题及答案解析 答案解析请参考文末 Problem 1 In convex hexagon , all six sides are congruent, and are right angles, and and are congruent. The area of the hexagonal region is Find . ...
2006AIME I真题及答案解析
2006AIME I真题及答案解析 答案解析请参考文末 Problem 1 In quadrilateral is a right angle, diagonal is perpendicular to and Find the perimeter of Problem 2 Let set be a 90-element subset of an...
2007AIME II真题及答案解析
2007AIME II真题及答案解析 答案解析请参考文末 Problem 1 A mathematical organization is producing a set of commemorative license plates. Each plate contains a sequence of five characters chosen from ...
2007AIME I真题及答案解析
2007AIME I真题及答案解析 答案解析请参考文末 Problem 1 How many positive perfect squares less than are multiples of 24? Problem 2 A 100 foot long moving walkway moves at a constant rate of 6 feet p...
