【资料】AMC考试练习题及答案解析（1）

AMC考试练习题及答案解析（1）

Problem

A square piece of paper, 4 inches on a side, is folded in half vertically. Both layers are then cut in half parallel to the fold. Three new rectangles are formed, a large one and two small ones. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle?

Solution

The smaller rectangles each have the same height as the original square, but have  the length, since the paper is folded in half and then cut in half the same way. The larger rectangle has the same height as the original square but has  the length, since the paper is cut in half after the fold but the fold retains both sides of the larger rectangle. Therefore, the smaller rectangles have dimensions and the larger rectangle has dimensions . The ratio of their perimeters is 

问题

一张方形纸，一边4英寸，垂直折叠成两半。然后将两层平行切成两半。形成三个新的矩形，一个大的一个和两个小的矩形。一个小矩形的周长与大矩形的周长之比是多少？

解

较小的矩形每个都具有与原始正方形相同的高度，但具有长度，因为纸张被折成两半然后以相同的方式切成两半。较大的矩形具有与原始正方形相同的高度，但具有长度，因为纸张在折叠后被切成两半但折叠保留较大矩形的两侧。因此，较小的矩形具有尺寸，较大的矩形具有尺寸。他们的周长比例是