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.

Alice 需要更换厨房里一个位于天花板下方 1010 厘米处的灯泡。天花板离地面 2.42.4 米。Alice 身高 1.51.5 米,并且手能伸到头顶上方 4646 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 1010 centimeters below the ceiling in her kitchen. The ceiling is 2.42.4 meters above the floor. Alice is 1.51.5 meters tall and can reach 4646 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?

 32\ 32

 34\ 34

 36\ 36

 38\ 38

 40\ 40

答案:B
知识点:单位换算
难度评级:770
解答:

天花板高度为 2.4100=2402.4 \cdot 100 = 240 厘米。减去已知的各段高度,得到 因此凳子的高度是三十四厘米。所以正确答案是 B2401504610=34. 240 - 150 - 46 - 10 = 34.

We know the height of the ceiling is 2.4100=2402.4 \cdot 100 = 240 cm. Subtracting out all the given values, we get 2401504610=34. 240 - 150 - 46 - 10 = 34. Therefore, the height of the stool is 34 cm. Thus, B is the correct answer.

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