已知:如图,在四边形
中,E、F分别在线段
,
上,连接
,
,
,
,试说明
.
(已知),
所以
( ① ).
所以
( ② ).
因为
(已知),
所以 ③ (等量代换).
所以
( ④ ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323e6a8ea015d8263efdc1b2b9dc47a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b9d5bcc35a9f12566bc0cd4da431cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53df2a88f461611f7159d0f2f8ef60e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323e6a8ea015d8263efdc1b2b9dc47a4.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117878cbd8c00f2aabcdf62b487e2dc7.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/471d0a47aed548003dfc599ce2e5db5c.png)
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b9d5bcc35a9f12566bc0cd4da431cf.png)
所以 ③ (等量代换).
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53df2a88f461611f7159d0f2f8ef60e.png)
更新时间:2024-04-28 12:09:49
|
【知识点】 根据平行线判定与性质证明
相似题推荐
解答题-问答题
|
较易
(0.85)
【推荐1】如图,已知:
,垂足为点F,
,垂足为点D,点P在
上,连接
.
(1)
与
平行吗?为什么?
(2)若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab00e0cff0876c4183a47f1272cf9928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/2/7be389f9-f742-4e58-9684-fd505fe03254.png?resizew=148)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5ed8210ea883116c371950c150b8b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
【推荐2】如图,
,
,
,
是
的平分线.
(1)
与
平行吗?请说明理由;
(2)求证:
是
的平分线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1dc52a8ba9f389800eb92dbd145bf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f0d3d800ff70b765756ead8ca8d089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f6536e6f106f2829c62f1536f34c092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/674eb0f94169916b89439ea78d3f1da7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/26/7c9d6416-40c8-4d9c-8acb-9d80bc858891.png?resizew=192)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
您最近一年使用:0次