Question

在一长队人中，从左边数第 $1013$ 个人同时也是从右边数第 $1010$ 个人。队伍中共有多少人？

In a long line of people arranged left to right, the $1013$ th person from the left is also the $1010$ th person from the right. How many people are in the line?

$2021$

$2022$

$2023$

$2024$

$2025$

答案：B

知识点：基本计数

难度评级：860

解答：

这个位置左边有 $1012$ 个人，右边有 $1009$ 个人。再加上这个人自己，总人数为 $1012 + 1009 + 1 = 2022$ 。也可以看作两个位置计数在这个人处重合一次，所以 $1013 + 1010 - 1 = 2022$ 。因此正确答案是 B。

There are $1012$ people to the left of this spot and $1009$ to the right. Add those two groups plus the person themselves: $1012 + 1009 + 1 = 2022.$ Or, just as fast, the two positions overlap on one person, so $1013 + 1010 - 1 = 2022.$ Thus, B is the correct answer.

2024 AMC 10B 第 1 题

答案：B

难度评级：860

解答：

其他年份的第 1 题