如图,
是
的中线,
,垂足为
,交
的延长线于点
是
延长线上一点,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/204881c2-0f7a-453c-9718-1197c364de3b.png?resizew=144)
(1)求证:
;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c897a54f2e36bc4b52fba74b41c89d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f44c8a7b8d95189b174effab2a9332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231c3e0c5366da20b9c8de0423e7a7d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/204881c2-0f7a-453c-9718-1197c364de3b.png?resizew=144)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805768a5ffaf8bdfa4bc3b680aafdc9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dea909fb44b00e5e98d45e42880abef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d9b798a71ae94839e1ebb0a644202e8.png)
更新时间:2023-12-12 10:05:58
|
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解答题-证明题
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【推荐1】如图,将矩形ABCD绕着点C按顺时针方向旋转得到矩形FECG,点B与点E对应,点E恰好落在AD边上,BH⊥CE交于点H,求证:AB=BH.
![](https://img.xkw.com/dksih/QBM/2021/11/19/2854417936834560/2859715422191616/STEM/172c11c6-4094-4b3c-8940-f8619c1faa8c.png?resizew=268)
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【推荐2】如图,已知
分别为
上的点,
相交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/3/feda4724-c99b-435c-92b3-183ab91af710.png?resizew=99)
(1)证明:
;
(2)求证:
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c46456daad16dab4a25b772759084d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a1465fd3835e3907212e120665656c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9281cce6bd69cc70aeb2b3b91652fcd5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/3/feda4724-c99b-435c-92b3-183ab91af710.png?resizew=99)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960d61e0d9a749cba705359a15e683d2.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c8dbc31b2e14067ef2f34b4e25f114.png)
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【推荐1】如图,在
中,
,
,且
于C,
,
与
交于点D,试说明
和
的位置关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】如图,在△ABC与△DCB中,AC与BD交于点E,且∠A=∠D,AB=DC.
(1)求证:△ABE≌△DCE;
(2)当AB⊥AC,∠AEB=60°,AB=4时,求BC的长度.
(1)求证:△ABE≌△DCE;
(2)当AB⊥AC,∠AEB=60°,AB=4时,求BC的长度.
![](https://img.xkw.com/dksih/QBM/2021/12/17/2874457457532928/2879213731471360/STEM/54f005b2-eb1a-4ee8-8a94-2fa69668adea.png?resizew=173)
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