AMC 8 2023 Problem 17
AMC8 2023 年第 17 题
立体几何★★★☆☆
A regular octahedron has eight equilateral triangle faces with four faces meeting at each vertex. Jun will make the regular octahedron shown on the right by folding the piece of paper shown on the left. Which numbered face will end up to the right of ?
正八面体有八个面，都是等边三角形，在每个顶点处有四个面相交。如图所示，Jun 把左边的纸片折成了右边的正八面体。问出现在 Q 的右边的那个面上的数是几？
- A.1
- B.2
- C.3
- D.4
- E.5
正确答案 · Correct Answer
A
解析 · Solution
Solution 1
We label the octohedron going triangle by triangle until we reach the? triangle. The triangle to the left of the should be labeled with a 6. Underneath triangle 6 is triangle 5. The triangle to the right of triangle 5 is triangle 4 and further to the right is triangle 3. Finally, the side of triangle 3 under triangle is 2, so the triangle to the right of is 1.
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