2004 AMC 12B 第 1 题

先试着解答 2004 AMC 12B 第 1 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 2004 AMC 12B 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。

1.

上周每次篮球训练时,Jenny 罚中的球数都是前一次训练罚中球数的两倍。她第五次训练罚中 4848 球。她第一次训练罚中了多少球?
At each basketball practice last week, Jenny made twice as many free throws as she made at the previous practice. At her fifth practice she made 4848 free throws. How many free throws did she make at the first practice?
33
66
99
1212
1515
答案:A
知识点:等比数列逆推法
小提示:
往前推时,每次训练罚中的球数都是下一次的一半。
Each practice she made half as many as the next practice
大提示:
把 4848 连续四次除以二,就能回到第一次训练
Halve 4848 four times to reach the first practice
解答:
每次训练罚中球数都是前一次的两倍,所以倒着推要除以二。第五次是 4848,前几次分别是 2424、1212、66、33 球。
因此正确答案是 A。
Each practice she made twice the previous, so going backward we halve. From the fifth practice at 48,48, the earlier practices had 24,24, 12,12, 6,6, and 33 free throws.
Thus, the correct answer is A.
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