AMC 8 2026 Problem 25
AMC8 2026 年第 25 题
四边形与多边形★★★★☆
In an equiangular hexagon, all interior angles measure 120°. An example of such a hexagon with side lengths 2, 3, 1, 3, 2, and 2 is shown below, inscribed in equilateral triangle ABC. Consider all equiangular hexagons with positive integer side lengths that can be inscribed in △ABC, with all six vertices on the sides of the triangle. What is the total number of such hexagons? Hexagons that differ only by a rotation or a reflection are considered the same.
在一个等角六边形中，所有内角均为 120°。下图展示了一个边长依次为 2、3、1、3、2、2 的例子，它内接于一个等边三角形 ABC 中。考虑所有边长为正整数、且六个顶点都在 △ABC 三边上的等角六边形。若两个六边形仅通过旋转或反射重合，则视为相同。这样的六边形共有多少个？
- A.4
- B.5
- C.6
- D.7
- E.8
正确答案 · Correct Answer
E
解析 · Solution
解析整理中
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