2002 AMC10 真题 答案 详解
| 序号 | 文件 | 说明 | ||
|---|---|---|---|---|
| 1 | 2002-amc10-paper-eng.pdf | 4 页 | 182.57KB | 真题-英文 |
| 2 | 2002-amc10-solution-eng.pdf | 27 页 | 981.81KB | 真题-文字详解-英文 |
2002 AMC 10P Problems
Problem 1
Problem 2
The sum of eleven consecutive integers is What is the least of these integers?
(A) 175
(B) 177
(C) 179
(D) 180
(E) 181
Problem 3
Mary typed a six-digit number, but the two s she typed didn't show. What appeared was How many different six-digit numbers could she have typed?
(A) 4
(B) 8
(C) 10
(D) 15
(E) 20
Problem 4
Which of the following numbers is a perfect square?
(A) 445566
(B) 445665
(D) 485465
(E) 465564
Problem 5
Let be a sequence such that and for all Find
(A) 666
(B) 667
(C) 668
(D) 669
(E) 670
Problem 6
The perimeter of a rectangle is and its diagonal has length What is the area of this rectangle?
(A) 625 2?
(C) 1250
Problem 7
The dimensions of a rectangular box in inches are all positive integers and the volume of the box is in . Find the minimum possible sum of the three dimensions.
(A) 36
(B) 38
(C) 42
(D) 44
(E) 92
Problem 8
64? How many ordered triples of positive integers satisfy
(A) 5 (B) 6
(C) 7
(D) 8
(E) 9
Problem 9
The function is given by the table
= If and for , find
(A) 1 (B) 2
(C) 3
(D) 4
(E) 5
Problem1
Solution 1
We can use basic rules of exponentiation to solve this problem.
Solution 2
We can rearrange the exponents on the bottom to solve this problem:
