1986AIME 真题及答案解析
1986AIME 真题及答案解析 Problem 1 What is the sum of the solutions to the equation ? Problem 2 Evaluate the product . Problem 3 If and , what is ? Problem 4 Determine if , , , , and satisfy the ...
1987AIME 真题及答案解析
1987AIME 真题及答案解析 答案解析请参考文末 Problem 1 An ordered pair of non-negative integers is called "simple" if the addition in base requires no carrying. Find the number of simple ordered p...
1988AIME 真题及答案解析
1988AIME 真题及答案解析 答案解析请参考文末 Problem 1 One commercially available ten-button lock may be opened by depressing -- in any order -- the correct five buttons. The sample shown below has ...
1989AIME 真题及答案解析
1989AIME 真题及答案解析 答案解析请参考文末 Problem 1 Compute . Problem 2 Ten points are marked on a circle. How many distinct convex polygons of three or more sides can be drawn using some (or all)...
1990AIME 真题及答案解析
1990AIME 真题及答案解析 答案解析请参考文末 Problem 1 The increasing sequence consists of all positive integers that are neither the square nor the cube of a positive integer. Find the 500th term o...
1991AIME 真题及答案解析
1991AIME 真题及答案解析 答案解析请参考文末 Problem 1 Find if and are positive integers such that Problem 2 Rectangle has sides of length 4 and of length 3. Divide into 168 congruent segments...
1992AIME 真题及答案解析
1992AIME 真题及答案解析 答案解析请参考文末 Problem 1 Find the sum of all positive rational numbers that are less than 10 and that have denominator 30 when written in lowest terms. Problem 2 A posit...
1993AIME 真题及答案解析
1993AIME 真题及答案解析 答案解析请参考文末 Problem 1 How many even integers between 4000 and 7000 have four different digits? Problem 2 During a recent campaign for office, a candidate made a tour ...
1994AIME 真题及答案解析
1994AIME 真题及答案解析 答案解析请参考文末 Problem 1 The increasing sequence consists of those positive multiples of 3 that are one less than a perfect square. What is the remainder when the 1994t...
