1994 AMC 8 第 4 题

先试着解答 1994 AMC 8 第 4 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1994 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

4.

右图绕中心顺时针旋转 120°120° 后,结果是哪一个?
Which of the following represents the result when the figure shown at the right is rotated clockwise 120°120° about its center?
答案:B
知识点:变换
小提示:
顺时针旋转 120°120° 会把三个图形各自移动到顺时针方向的下一个位置
A clockwise turn of 120°120° moves each of the three shapes to the next position in the clockwise direction.
大提示:
正方形仍是正方形,圆仍是圆;只有位置发生变化
The square must stay a square and the circle a circle; only their positions change.
解答:
顺时针旋转 120°120° 后,每个图形移动到顺时针方向的下一个位置:上方的三角形移到右下,右下的正方形移到左下,左下的圆移到上方。
因此结果应为圆在上方,正方形在左下,三角形在右下,且每个图形形状保持不变。
所以正确答案是 B。
A clockwise turn of 120°120° sends each shape to the next position clockwise: the triangle at the top moves to the lower right, the square at the lower right moves to the lower left, and the circle at the lower left moves to the top.
The result therefore has a circle on top, a square at the lower left, and a triangle at the lower right, with each shape keeping its original form.
Thus, the correct answer is B .
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