本版推荐：

jasontomonaga
 
等　级：黄金词友

              积　分：2281分

        专家分：49分

看我其他帖子
看我的日志

        看我该帖回复

主题：[The Official SAT Question of the Day™] November 23rd Sunday

收藏本贴 | 好友分享 | 推广拿分

点击:414 | 回复:2 | 标签:

The circle above has center P. Given segments of the following lengths, which is the length of the longest one that can be placed entirely inside this circle?
A. 6.99
B. 7.00
C. 7.99
D. 8.10
E. 14.00

30
来顶一下

2
快速回复

复制地址

SAT题目：http://apps.collegeboard.com/qotd/question.do

楼主 Date: 2008-11-23 17:55:21

jasontomonaga

看我其他帖子
看我的日志

		看我该帖回复

Hint : In any circle, the longest chord is a diameter. But a diameter does not lie entirely inside the circle, because its endpoints are on the circle. Any segment that lies entirely inside a circle must be shorter than the diameter.

沙发 Date: 2008-11-23 18:00:19

jasontomonaga

看我其他帖子
看我的日志

		看我该帖回复

Correct Answer: C

Here's Why: Since the radius of the circle is 4, the diameter of the circle is 8. In a circle, the diameter is longer than any segment that can be placed entirely inside the circle. Therefore, segments of length 8.10 or length 14.00 could not be placed entirely within the circle, and the correct answer is 7.99.

Difficulty: Hard
Question Type: Standard Multiple Choice
(Mathematics)

板凳 Date: 2008-11-23 18:01:39

参与讨论