AMC 8 2009 Problem 9

AMC8 2009 年第 9

四边形与多边形★★☆☆☆
Construct a square on one side of an equilateral triangle. On one non-adjacent side of the square, construct a regular pentagon, as shown. On a non-adjacent side of the pentagon, construct a hexagon. Continue to construct regular polygons in the same way, until you construct an octagon. How many sides does the resulting polygon have?
在一个等边三角形的一边上作一个正方形,然后在此正方形的另一条非相邻边上作一个正五边形,如下图所示。再在此五边形的一条非相邻边上作一个六边形。按照这种方法不断作出正多边形,直到作出一个八边形。那么最终形成的多边形有多少条边?
  1. A.21
  2. B.23
  3. C.25
  4. D.27
  5. E.29

正确答案 · Correct Answer

B

解析 · Solution

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