2024 AMC 12B 第 1 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。

1.

一长队人从左到右排列。从左数第一千零一十三个人也是从右数第一千零一十个人。队伍中共有多少人?

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

20212021

20222022

20232023

20242024

20252025

答案:B
知识点:区间内整数计数基本计数
难度评级:890
解答:

目标人物左边有 10131=10121013 - 1 = 1012 人,右边有 10101=10091010 - 1 = 1009 人。包括此人自己,总人数为 1012+1009+1=20221012 + 1009 + 1 = 2022

所以正确答案是 B

The target person has 10131=10121013 - 1 = 1012 people to the left and 10101=10091010 - 1 = 1009 people to the right. Including the person themself, the line has 1012+1009+1=20221012 + 1009 + 1 = 2022 people.

Thus, the correct answer is B.

完整试卷

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