(过程)在矩形ABCD中,对角线AC、BD交于点O,AE⊥BD于点E,若ED=3OE,AE=根号3,
在矩形ABCD中,对角线AC、BD交于点O,AE⊥BD于点E,若ED=3OE,AE=根号3,则BD的长为
人气:376 ℃ 时间:2019-10-23 01:21:11
解答
因为(Y) ED=OE+OD,ED=3DE
所以(S) OD=2OE
又Y 矩形对角线相互平分且相等
S OB=OD=OA,
S OE=1/2OB,
S BD=4OE
由勾股定理,得(OA平方)=(OE平方)+(AE平方)
S OE=1
S BD=4
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