如图,矩形ABCD的对角线AC,BD相交于点O,过点O作OE⊥AC交AB于E,若BC=4,△AOE的面积为5,则sin∠BOE的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/27/53c60288-8f38-48b7-89f6-e4ae1a0fb5ba.png?resizew=119)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/27/53c60288-8f38-48b7-89f6-e4ae1a0fb5ba.png?resizew=119)
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更新时间:2017-05-08 09:39:38
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【推荐1】矩形ABCD的对角线相交于O,AE平分∠BAD交BC于E,若AB=4,∠CAE=15°,则OE的长为( )
![](https://img.xkw.com/dksih/QBM/2014/5/5/1573724565880832/1573724571787264/STEM/b589721708bf48ba89a606de65600260.png)
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【推荐2】如图,小明(视为小黑点)站在一个高为10米的高台A上,利用旗杆OM顶部的绳索,划过90°到达与高台A水平距离为17米,高为3米的矮台B.那么小明在荡绳索的过程中离地面的最低点的高度MN是( )
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A.2米 | B.2.2米 | C.2.5米 | D.2.7米 |
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【推荐1】如图,在矩形ABCD中,AD=6,AB=10,一个三角形的直角顶点E是边AB上的一动点,一直角边过点D,另一直角边与BC交于F,若AE=x,BF=y,则y关于x的函数关系的图象大致为( )
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【推荐2】如图,在矩形
中,
,
,点E是边
的中点,连接
与
相交于点O,作
,则
的长是( )
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【推荐1】如图,点A、B、C是⊙O上的点,且∠ACB=40°,阴影部分的面积为8π,则此扇形的半径为( )
![](https://img.xkw.com/dksih/QBM/2020/9/22/2555127246217216/2556002865627137/STEM/fa6736b2-5c1c-4359-9646-e37ee5e967cd.png?resizew=212)
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【推荐2】如图,
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平分
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并延长分别交
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于点
和点
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,
,则
的长为( )
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【推荐1】如图,在矩形ABCD中,AC、BD相交于点O,∠AOB=60°,AE平分∠BAD,AE与BC相交于点E,与BD相交于点F.则下列结论中正确的有( )
①OB=OE;②∠BOE=75°;③OE2=OF•OD ;④若OE=1,则EC=
;⑤若△BOE的面积是矩形ABCD的面积的
,则BC=
AB .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/17/6dda40d8-b610-4cf3-b226-8bc0c5a678a8.png?resizew=203)
①OB=OE;②∠BOE=75°;③OE2=OF•OD ;④若OE=1,则EC=
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【推荐2】如图,是
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