如图,矩形ABCD中,对角线AC,BD交于点O.若∠AOB=60°,BD=6,则AB的长为( ).
![](https://img.xkw.com/dksih/QBM/2020/6/6/2478596493475840/2478762114875392/STEM/325f0b74c51341ca96e0eaa74ee6c416.png?resizew=163)
![](https://img.xkw.com/dksih/QBM/2020/6/6/2478596493475840/2478762114875392/STEM/325f0b74c51341ca96e0eaa74ee6c416.png?resizew=163)
A.4 | B.4![]() | C.3 | D.5 |
更新时间:2020-06-06 12:37:20
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适中
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【推荐1】如图,在钝角三角形
中,
为钝角,以点B为圆心,
长为半径画弧;再以点C为圆心,
长为半径画弧;两弧交于点D连结
,
的延长线
于点E.下列结论:①
垂直平分
;②
平分
;③三角形
是等腰三角形;④三角形
是等边三角形.其中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/10/4e58eced-ac55-4720-b086-56b427777720.png?resizew=152)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐2】下列命题中,是假命题的是( )
A.等腰三角形是轴对称图形 |
B.两边分别相等且其中一组等边的对角相等的两个三角形全等 |
C.有一个角等于60的等腰三角形是等边三角形 |
D.到线段两端距离相等的点在线段的垂直平分线上 |
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【推荐1】如图所示,E,F分别在矩形ABCD的边BC,AB上,BF=3,BE=4,CE=3.AE与CF交于点P,且∠APC=∠AEB+∠CFB,则矩形ABCD的面积为( )
![](https://img.xkw.com/dksih/QBM/2022/3/18/2938895575728128/2941075295297536/STEM/e4884f1b9741451dba3bac48e4afc530.png?resizew=98)
![](https://img.xkw.com/dksih/QBM/2022/3/18/2938895575728128/2941075295297536/STEM/e4884f1b9741451dba3bac48e4afc530.png?resizew=98)
A.70 | B.63 | C.77 | D.65.8 |
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【推荐2】如图,在矩形
中,
,
相交于点
,过点
作
交
于点
,交
于点
,过点
作
交
于点
,交
于点
,则下列结论:①
;②
;③当
时,四边形
是菱形.其中,正确结论的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/28/6847fd8b-e6ad-46d0-b6e0-767a81608193.png?resizew=125)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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