如图,在四边形
中,E、F分别是
、
延长线上的点,连接
,分别交
、
于点G、H.若
,
,试说明
.请根据题意填空:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/22/7b347690-36c8-478c-b186-ad7374fa2721.png?resizew=180)
解:因为
(已知)
( )
所以
( )
所以
( )
所以
( )
因为
(已知)
所以
.
所以
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1393308bc68322f50fa29702dd412263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/22/7b347690-36c8-478c-b186-ad7374fa2721.png?resizew=180)
解:因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2271790876c7337966afa56afb9f5c13.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f7b3c2c37ae100e8d04de95bb92ec5b.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b8ee3c2174306999d94daf1fcea4a7.png)
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1393308bc68322f50fa29702dd412263.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3805a3f8cc05945f9aea2963009378.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
更新时间:2023-04-14 20:55:47
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名校
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解答题-问答题
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