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如图,四边形\(ABCD\)中,对角线\(AC\),\(BD\)互相平分,交于点\(O\),点\(E\)为四边形\(ABCD\)外一点,且使\(∠AEC=∠DEB=90°\),若\(BC = 2AB = 4\),则\(BD\)的值为( )
A.\(2\sqrt 5 \)
B.\(\sqrt 5 \)
C.3
D.4
参考答案:A
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