选择题

2024 AMC 8 Problem 20: Equilateral Triangles in a Cube

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 isosceles △PQR.) How many of these triangles are equilateral and contain P as a vertex?

2024 AMC 8 第20题:立方体中的等边三角形

立方体PQRSTUVW的任意三个顶点,如下图所示,可以连接形成三角形。 (例如,顶点P、Q、R可以连接形成等腰三角形△PQR。)这些三角形中有多少个是等边且包含P作为顶点的三角形

A.
0
B.
1
C.
2
D.
3
E.
6