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...
1995AIME 真题及答案解析
1995AIME 真题及答案解析 答案解析请参考文末 Problem 1 Square is For the lengths of the sides of square are half the lengths of the sides of square two adjacent sides of square are perpendicula...
1996AIME 真题及答案解析
1996AIME 真题及答案解析 答案解析请参考文末 Problem 1 In a magic square, the sum of the three entries in any row, column, or diagonal is the same value. The figure shows four of the entries of a mag...
1997AIME 真题及答案解析
1997AIME 真题及答案解析 答案解析请参考文末 Problem 1 How many of the integers between 1 and 1000, inclusive, can be expressed as the difference of the squares of two nonnegative integers? Problem 2...
