如图,在△ABC中,AD和BE是高,∠ABE=45°,点F是AB的中点,AD与FE、BE分别交于点G、H,∠CBE=∠BAD,有下列结论:①FD=FE;②AH=2CD;③BC•AD=
AE2;④∠DFE=2∠DAC ;⑤若连接CH,则CH∥EF,其中正确的个数为( )
![](https://img.xkw.com/dksih/QBM/2017/4/20/1669682209980416/1670803109675008/STEM/cf6fdc298758464394c2238671db2b29.png?resizew=139)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/2017/4/20/1669682209980416/1670803109675008/STEM/cf6fdc298758464394c2238671db2b29.png?resizew=139)
A.2个 | B.3个 | C.4个 | D.5个 |
更新时间:2017-02-28 23:13:34
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【推荐1】如图,
,
的平分线相交于F,过点F作
,交
于D,交
于E,连接
,那么下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/2020/11/16/2599097525903360/2610666238623744/STEM/9c25bde3406141c8a9f465e8e4a7fd10.png?resizew=131)
①
都是等腰三角形;②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0f3fc4f17782cba309fcc81afa211e9.png)
③
的周长为
;④
平分
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a078495ba47076ccaa28b46f765d80.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/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://img.xkw.com/dksih/QBM/2020/11/16/2599097525903360/2610666238623744/STEM/9c25bde3406141c8a9f465e8e4a7fd10.png?resizew=131)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a52012cf82ddb2a6329472dd18c46da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0f3fc4f17782cba309fcc81afa211e9.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d831223c3c4ae2ee718118f97a06d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
A.①③④ | B.①②③ | C.①②③④ | D.②③④ |
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【推荐2】如图,在
中,
,
平分
,
,
,
为垂足,则下列四个结论:(1)
;(2)
;(3)
平分
;(4)
垂直平分
.其中正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/7/948a8c88-9564-43e4-a83c-84999c0c5488.png?resizew=125)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761a77e11e1e45c2a8b2d34d22cf8e04.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38d97f03faed3152db2fd3bd1919944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c962fe4f47732b8e6e83d17ff2b9af13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
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【推荐1】四边形ABCD和四边形ACED都是平行四边形,点R为DE的中点,BR分别交AC、CD于点P、O.△ABP的面积是4,则△BCP的面积是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/6/8d6e44c3-b42f-4e95-b4cf-74a65359895f.png?resizew=177)
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A.1 | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,在Rt△ABC中,∠C=90°,AD是△ABC的角平分线,若CD=4,AC=12,则△ABC的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/20/63d47e18-8bdd-4a73-b4d0-6350824c3e95.png?resizew=225)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/20/63d47e18-8bdd-4a73-b4d0-6350824c3e95.png?resizew=225)
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