2. 外语
  3. In the stop sign shown in the figure above, all sides have equal length and all angles have equal measure. If the figure could b

In the stop sign shown in the figure above, all sides have equal length and all angles have equal measure. If the figure could b

admin2009-05-19  41
问题
In the stop sign shown in the figure above, all sides have equal length and all angles have equal measure. If the figure could be rotated 225 degrees in a clockwise direction, point G would be in the position of point
选项 A、I
B、J
C、K
D、L
E、M
答案B
解析 在上面图形的STOP标志中，所有的边长都相等并且夹角也相等。如果该图形沿顺时针方向旋转225o，问G点会在哪一个点的位置?
解：本题的正确答案是(B)。由题意可知FGHIJKLM是一个正八边形，正八边形每转过一边的角度等于正八边形的中心与两个相邻的顶点连线的夹角，即为360÷8=45o，225÷45o=5，所以STOP标志沿顺时针方向旋转225o后，G点在正八边形的边上沿顺时针方向移动了5条边长的距离，即STOP标志旋转后G点在未旋转前J点的位置。
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