AMC 8 2025 Problem 21

AMC8 2025 年第 21

鸽巢原理与策略★★★★
Contents 1 Problem 21 2 Solution 1: By DummyAMC 3 Video Solution 1 by Thinking Feet 4 Video Solution 2 in Less Than 2 Minutes by Dr. Xue's Math School 5 Video Solution (A Clever Explanation You'll Get Instantly) 6 Video Solution by Dr. David 7 See Also Problem 21 The Konigsberg School has assigned grades 1 through 7 to pods AA through GG, one grade per pod. Some of the pods are connected by walkways, as shown in the figure below. The school noticed that each pair of connected pods has been assigned grades differing by 1 or more grade levels. (For example, grades 1 and 2 will not be in pods directly connected by a walkway.) What is the sum of the grade levels assigned to pods $C, E$, and FF?
哥尼斯堡学校将1至7年级的学生分配到A至G教学区,每个教学区分配一个年级。如下图所示,部分教学区通过走廊相连。学校注意到,每两个相连的教学区分配的年级数之差不低于2(例如,1年级和2年级的教学区不会直接通过走廊相连)。请问,分配到C、E和F教学区的年级数总和是多少?
AMC 8 2025 Problem 21 figure
  1. A.
  2. B.
  3. C.
  4. D.
  5. E.

正确答案 · Correct Answer

C

解析 · Solution

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