1993 AMC 8 第 5 题

先试着解答 1993 AMC 8 第 5 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1993 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

5.

下列哪个条形图可能表示所示扇形图中的数据?
Which one of the following bar graphs could represent the data from the circle graph shown?
答案:C
知识点:数据与图表解读比与比例
小提示:
判断圆中三个区域分别占整个圆的几分之几
Decide what fraction of the whole circle each of the three regions takes up
大提示:
每个涂色区域都是四分之一,未涂色区域是一半,所以三根条形高度的比例应为 1:1:21 : 1 : 2
Each shaded region is a quarter and the unshaded region is a half, so the three bars should have heights in the ratio 1:1:21 : 1 : 2
解答:
两个涂色区域各占圆的四分之一,未涂色区域占一半。所以三个数量的比例是 14:14:12\tfrac14 : \tfrac14 : \tfrac12,即 1:1:21 : 1 : 2。
相应条形图必须有两个涂色条高度相等,白色条高度正好是它们的两倍。只有一个条形图符合这些条件。
所以正确答案是 C。
The two shaded regions are each one quarter of the circle, and the unshaded region is one half. So the three quantities are in the ratio 14:14:12,\tfrac14 : \tfrac14 : \tfrac12, or 1:1:2.1 : 1 : 2.
A matching bar graph must have the two shaded bars equal in height and the unshaded bar exactly twice as tall. Only one bar graph has two equal shaded bars with the white bar double their height.
Thus, the correct answer is C .
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