2010 AMC12A 真题

2010 AMC12A

Problem 1

What is ?

(2010 201)) + (2010 表达式 的值是多少？

(A) 4020 (B) 0 (C) 40 (D) 401 (E) 4020

Problem 2

A ferry boat shuttles tourists to an island every hour starting at 10 AM until its last trip, which starts at 3 PM. One day the boat captain notes that on the 10 AM trip there were 100 tourists on the ferry boat, and that on each successive trip, the number of tourists was 1 fewer than on the previous trip. How many tourists did the ferry take to the island that day?

一艘渡轮从上午 10 点开始，每隔一小时就会把游客送到一个岛上，直到最后一班（最后一班 下午 3 点出发）。一天，船长注意到，上午 10 点的这一班，渡轮上有 100 名游客，而且在后 续的每一班，游客人数都比前一班少 1 人。问那一天渡轮总共运送了多少游客到岛上？

(A) 585 (B) 594 (C) 672 (D) 679 (E) 694

Problem 3

Rectangle , pictured below, shares of its area with square .

AB

Square shares of its area with rectangle . What is ?

矩形 如下图所示，和正方形 重叠部分的面积占了它总面积的 50 ％．而重叠

AB

部分的面积占了正方形 总面积的 20 ％．问 是多少？