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数学
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如图所示,△ABC的顶点是正方形网格的格点,则sinA的值为( )
A.
1
2
B.
5
5
C.
10
10
D.
2
5
5
人气:151 ℃ 时间:2019-10-11 17:44:48
解答
如图:在B点正上方找一点D,使BD=BC,连接CD交AB于O,
根据网格的特点,CD⊥AB,
在Rt△AOC中,
CO=
1
2
+
1
2
=
2
;
AC=
1
2
+
3
2
=
10
;
则sinA=
OC
AC
=
2
10
=
5
5
.
故选:B.
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