1985 AMC 8 第 6 题

先试着解答 1985 AMC 8 第 6 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 1985 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。

6.

一令纸有 500500 张,厚 55 厘米。大约多少张这种纸叠起来会有 7.57.5 厘米高?
A ream of paper containing 500500 sheets is 55 cm thick. Approximately how many sheets of this type of paper would there be in a stack 7.57.5 cm high?
250250
550550
667667
750750
12501250
答案:D
知识点:比与比例
小提示:
纸张数量与纸叠高度成正比
The number of sheets is proportional to the height of the stack
大提示:
7.57.5 厘米的纸叠是 55 厘米纸叠的 1.51.5 倍高
A 7.57.5 cm stack is 1.51.5 times as tall as a 55 cm stack
解答:
因为 7.57.5 厘米是 55 厘米的 1.51.5 倍,所以纸张数也是 1.51.5 倍。
也就是 1.5×500=7501.5 \times 500 = 750 张。
所以正确答案是 D。
Since 7.57.5 cm is 1.51.5 times 55 cm, the stack holds 1.51.5 times as many sheets.
That is 1.5×500=7501.5 \times 500 = 750 sheets.
Thus, the correct answer is D .
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