如图所示,已知AB=AC,AD是高,BE=CF.求证:△BDE≌△CDF.
更新时间:2022-04-20 18:12:03
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【推荐1】如图,AC∥EF,AC=EF,点A、D、B、F在同一条直线上,AD=FB,
试证明:△ABC≌△FDE
试证明:△ABC≌△FDE
![](https://img.xkw.com/dksih/QBM/2019/12/25/2362917739511808/2367690858332161/STEM/dad969cc82684f6ebb9f548c8bc3073d.png?resizew=117)
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【推荐1】如图,在
中,
,D是
的中点,
,
,点E、F分别为垂足.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/f066461c-563d-4185-85ae-757b1397cb7a.png?resizew=230)
(1)若
,则
的度数为______,
的角度为______;
(2)求证:
是等腰三角形;
(3)当
是等边三角形时,求
的度数.
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761a77e11e1e45c2a8b2d34d22cf8e04.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/f066461c-563d-4185-85ae-757b1397cb7a.png?resizew=230)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c3975d0e87ea5028d37444dca76b331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f7e1c0456e86eee4f22e913a1a5778.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
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【推荐2】如图,在
中,
,直线
是边
的垂直平分线,连接
.
(1)若
,则
;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a52459d2cf85be6684f93828daeb7a32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6eaccff760ae033723678e0747b2936.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb2379662aec2f4dbcec313c89f3125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/f0ec5eab-5723-4ad8-8f19-c379d90a5ac2.png?resizew=179)
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【推荐1】如图,在
中,
,
于点D,点E为
上一点,点F为
延长线上一点,连接
,
.
(1)若
,直接写出图中与
相等的角;
(2)若
,求证:
.
![](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/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/18/4897a8c0-5326-4ade-90b2-86318528b1de.png?resizew=180)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9008bd862e494a6dcfee88a5a201fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db0641078052bf1af17b4c5a01b9ccc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fa1b5b6051d500fe6c6f1c19c7ee49f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9008bd862e494a6dcfee88a5a201fd9.png)
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【推荐2】如图,在
中,点D在边
上,
,E是
的中点,F是
的中点,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/493f7fac-b91c-4fba-8747-1e773ea7b6ef.png?resizew=181)
(1)连接
,判断
与
的位置关系,并证明你的判断;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b9e89a70b8b446861ce6f35fa83b251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/493f7fac-b91c-4fba-8747-1e773ea7b6ef.png?resizew=181)
(1)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
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