如图,四边形
和四边形
都是正方形,若
,则
的长是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc7ee0ef8945ba1b90e59aed7cab889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://img.xkw.com/dksih/QBM/2021/10/27/2838319986204672/2838384863780864/STEM/bfb00a2260c64b998cd6484899bb0d6b.png?resizew=187)
更新时间:2021-10-29 10:18:15
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【推荐1】如图1,
是
的中线.
求证:
.
请将下面的推理过程补充完整:
证明:如图2,延长
到点E,使
,连接
.
∵
是
的中线,
∴
.
在
和
中,
,
∴
(______)
∴______(全等三角形的对应边相等).
∴在
中,
(______),
∴
.
即
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d168264acad9c8eab2ec4176916dc3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/15bbf667-7785-4905-ac0c-bf3571d06621.png?resizew=140)
请将下面的推理过程补充完整:
证明:如图2,延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad98ad714864041a632ca949308e417.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0213c5787a5a6b38d11bceca5567f67.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532aece6cfd67e2a97977eed978dbf2b.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ac5396c5ea442e0364b50c1db3d2da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b59f79992d67ee52d205537728f2745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bf767777b51ea6f53d2ce774efbadf.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01ccfa50b9cfcffc453c323d028571e.png)
∴______(全等三角形的对应边相等).
∴在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002194e7f13d4e51efd265f86007642d.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fc9bf2693cd20efc29741b9587852e7.png)
即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d168264acad9c8eab2ec4176916dc3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/14b3e26c-92e3-416b-9adb-63f65913f268.png?resizew=136)
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【推荐2】如图,在△ABC中,∠B=∠C=65°,BD=CE,BE=CF,则∠DEF的度数是_____ .
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/12/b7ad9d41-537c-4563-92be-3ed80c264605.png?resizew=180)
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【推荐1】如图,正方形的边长为
为线段
的中点,
为线段
的黄金分割点
,以
为边作正方形
,则
的值为
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【推荐2】如图.已知反比例
与
的图象如图所示,点A,B在
的图象上,点C,D在
的图象上,对角线BD⊥AC于点P,对角线
轴.已知点B的横坐标为4:
(1)当m=4,n=20,且P为BD中点,判断四边形ABCD的形状为______ .
(2)当四边形ABCD为正方形时m,n之间的数量关系为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05621b18b7ffc991d9f30380e2e08fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24244dff653df401d6f82e889ba7b5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05621b18b7ffc991d9f30380e2e08fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bde98b608331387ffbfaab1845cb662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d638f23a71a0530289d241124e6d3595.png)
(1)当m=4,n=20,且P为BD中点,判断四边形ABCD的形状为
(2)当四边形ABCD为正方形时m,n之间的数量关系为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/20/f22ee73b-59c3-4c52-8e36-ff6e8dbba523.png?resizew=163)
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