AMC 8 2024 Problem 20

AMC8 2024 年第 20

立体几何★★★☆☆
Any three vertices of the cube PQRSTUVW, shown in the figure below, can be connected to form a triangle.
For example, vertices P, Q, and R can be connected to form an isosceles △PQR.
How many of these triangles are equilateral and contain P as a vertex?
如图所示,立方体PQRSTUVW上任意三个顶点相连可以构成一个三角形(例如,顶点P,Q,R相连可以构成一个等腰三角形△PQR)。请问在上述三角形中, 有多少个是以P为一个顶点的等边三角形?
AMC 8 2024 Problem 20 figure
  1. A.0
  2. B.1
  3. C.2
  4. D.3
  5. E.6

正确答案 · Correct Answer

D

解析 · Solution

解析整理中

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