2010 AMC 8 第 5 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。
5.
爱丽丝需要更换厨房里一个位于天花板下方 厘米处的灯泡。天花板离地面 米。爱丽丝身高 米，并且手能伸到头顶上方 厘米。站在凳子上时，她刚好能够到灯泡。凳子的高度是多少厘米？
Alice needs to replace a light bulb located centimeters below the ceiling in her kitchen. The ceiling is meters above the floor. Alice is meters tall and can reach centimeters above the top of her head. Standing on a stool, she can just reach the light bulb. What is the height of the stool, in centimeters?
答案：B
小提示：
凳子补上爱丽丝的身高、伸手高度和灯泡距天花板的距离后剩下的高度差
The stool covers the remaining gap after Alice’s height, reach, and the bulb offset.
大提示：
先把天花板高度和爱丽丝的身高都换算成厘米
Convert the ceiling and Alice’s height to centimeters first.
解答：
天花板高度为 厘米。减去已知的各段高度，得到 因此凳子的高度是 厘米。所以正确答案是 B。
We know the height of the ceiling is cm. Subtracting out all the given values, we get Therefore, the height of the stool is cm. Thus, B is the correct answer.
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