2010 AMC 8 第 11 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
11.
一棵树的树顶比另一棵树的树顶高 英尺。两棵树的高度之比为 。较高的树高多少英尺？
The top of one tree is feet higher than the top of another tree. The heights of the two trees are in the ratio In feet, how tall is the taller tree?
小提示：
较高的树包含四份这样的相等部分
The taller tree has four of those equal parts.
大提示：
比值 表示高度差是一份
The ratio means the height difference is one ratio part.
解答：
设较高和较矮的树高分别为 、。则 ，且 。代入得
所以正确答案是 B。
Let be the heights of bigger and smaller trees respectively. Then, and If we substitute, we get
Thus, the answer is B .
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