1983AIME 真题及答案解析
1983AIME 真题及答案解析 答案解析请参考文末 Problem 1 Let , and all exceed and let be a positive number such that , and . Find . Problem 2 Let , where . Determine the minimum value taken by fo...
1984AIME 真题及答案解析
1984AIME 真题及答案解析 答案解析请参考文末 Problem 1 Find the value of if , , is an arithmetic progression with common difference 1, and . Problem 2 The integer is the smallest positive multiple...
1985AIME 真题及答案解析
1985AIME 真题及答案解析 答案解析请参考文末 Problem 1 Let , and for let . Calculate the product . Problem 2 When a right triangle is rotated about one leg, the volume of the cone produced is . When ...
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...
