1987AIME 真題及答案解析
1987AIME 真題及答案解析 答案解析請(qǐng)參考文末 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 真題及答案解析
1988AIME 真題及答案解析 答案解析請(qǐng)參考文末 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 真題及答案解析
1989AIME 真題及答案解析 答案解析請(qǐng)參考文末 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 真題及答案解析
1990AIME 真題及答案解析 答案解析請(qǐng)參考文末 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 真題及答案解析
1991AIME 真題及答案解析 答案解析請(qǐng)參考文末 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 真題及答案解析
1992AIME 真題及答案解析 答案解析請(qǐng)參考文末 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 真題及答案解析
1993AIME 真題及答案解析 答案解析請(qǐng)參考文末 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 真題及答案解析
1994AIME 真題及答案解析 答案解析請(qǐng)參考文末 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 真題及答案解析
1995AIME 真題及答案解析 答案解析請(qǐng)參考文末 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...
