如图,平行四边形
的对角线
,
相交于点O,E,F分别是
的中点,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/6/0d6d9777-43ef-4a79-8c4f-73aa49c463e5.png?resizew=243)
(1)求证:四边形
是平行四边形;
(2)若
,
.
①求
的长;
②求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb792226b4cad5074e4d2d646add328b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8050d4948ec849d03ccba785d432067.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/6/0d6d9777-43ef-4a79-8c4f-73aa49c463e5.png?resizew=243)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910936ec9fb419d51ce2f5ea817f8401.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8db33f8c458c9fc0e35f5b1df4843ba.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
更新时间:2023-05-06 21:52:01
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【推荐2】如图所示,
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名校
【推荐1】如图
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【推荐2】如图,D是AE上的点,AE∥BC,∠1+∠2 =180°.求证:∠A =∠C.
![](https://img.xkw.com/dksih/QBM/2021/6/5/2736187209924608/2737381266882560/STEM/5650b3eb-da0f-4cde-8de0-e4e980ba8f35.png)
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解答题-证明题
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【推荐1】如图,在△ABC中,∠BAC=90°,D是BC的中点,E是AD的中点,过点A作AF
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/28/e0a2069a-60c7-4df1-96b4-5c7f392e09f5.png?resizew=168)
(1)求证:四边形ADCF是菱形;
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/28/e0a2069a-60c7-4df1-96b4-5c7f392e09f5.png?resizew=168)
(1)求证:四边形ADCF是菱形;
(2)若AF=5,AB=8,求△ABC的面积.
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【推荐2】如图,平行四边形ABCD中,点E是AB边上一点,CE=AB,DF⊥BC,交CE于点G,连接DE,EF.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/3/ee79b87b-269c-4801-8617-c2174a3c83c4.png?resizew=223)
(1)求证:∠AED=90°﹣
∠DCE;
(2)若点E是AB边的中点,求证:∠DEF=2∠EFB.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/3/ee79b87b-269c-4801-8617-c2174a3c83c4.png?resizew=223)
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