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数学
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矩形纸片ABCD的边长AB=4,AD=2.将矩形纸片沿EF折叠,使点A与点C重合,折叠后在其一面着色(如图),则着色部分的面积为( )
A. 8
B.
11
2
C. 4
D.
5
2
人气:421 ℃ 时间:2020-04-07 20:15:45
解答
在Rt△GFC中,有FC
2
-CG
2
=FG
2
,
∴FC
2
-2
2
=(4-FC)
2
,
解得,FC=2.5,
∴阴影部分面积为:AB•AD-
1
2
FC•AD=
11
2
,
故选B.
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