AMC 8 2020 Problem 20

AMC8 2020 年第 20

奇偶性★★★☆☆
A scientist walking through a forest recorded as integers the heights of 5 trees standing in a row. She observed that each tree was either 2 times as tall or half as tall as the one to its right. Unfortunately some of her data was lost when rain fell on her notebook. Her notes are shown below, with blanks indicating the missing numbers. Based on her observations, the scientist was able to reconstruct the lost data. What was the average height of the trees, in meters?
一个穿过森林的科学家将一排 5 棵树的高度都记录了下来,这 5 棵树的高度均为整数。她观察到,每棵树的高度要么是右边树高的 2 倍,要么是它的一半。不幸的是,由于雨水落在她的笔记本上,导致部分数据丢失。她的笔记如下图所示,空白部分表示丢失的数据。根据她的观察,这个科学家最终能够重建丢失的数据。那么这 5 棵树的平均高度是多少米?
AMC 8 2020 Problem 20 figure
  1. A.22.2
  2. B.24.2
  3. C.33.2
  4. D.35.2
  5. E.37.2

正确答案 · Correct Answer

B

解析 · Solution

解析整理中

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