如图,在
中,高
和
交于点
,且
.①
;②
;③
;④若
于点
,则
.其中正确的有________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bda4378ca481a0894e1309ceea6cd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50ce9ef89a466df68124a1dccff5663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a28fec6159242405aa5d47e94fcaceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fd1a61aa70eecddaaab88c5941972d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9677deecea626aa6e4078f0b532ba68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a3b986fb79bc9af39efe85e2c512be.png)
![](https://img.xkw.com/dksih/QBM/2021/3/18/2680302237573120/2683393690263552/STEM/6b0ade70-d422-4590-93b8-ab16504585ba.png?resizew=181)
更新时间:2021-03-22 15:21:20
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解题方法
【推荐1】如图,在正方形
中,
,点E是
边上一点,且
,连接
,点F是
边上一点,过点F作
交
于点G,连接
,
,
,则四边形
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/620bc4cfb53594c834b9afcbc3de516a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82d3a004c4f6c29bd52364eb658c704b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
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填空题
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较难
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【推荐2】如图,矩形
中,
,
,点E、F分别是线段
上的动点,且
,过D作
的垂线,垂足为H.
(1)当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72d241dec20c547340d22924a818fa1.png)
______
.
(2)当E在
上运动时,
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83fe060a37a93ea736e9c3d444809cd0.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/18/7b35c1fd-0404-4cd6-812b-55c465a053e0.png?resizew=154)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474b1609f47ca806fc1b5a59b8169e60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72d241dec20c547340d22924a818fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83873a9d782f2588c5eedbfe73f9bc2f.png)
(2)当E在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6655e2fa64a32cd12fe0279afd65d73.png)
您最近一年使用:0次
填空题
|
较难
(0.4)
【推荐1】如图,在边长为4的正方形
中,点
是边
上的动点(点
不与
,
重合),连接
,过点
作
于点
,点
是点
关于直线
的对称点,连接
,
,
.则当
取得最小值时,
的面积是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
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【推荐2】如图,已知
中,
,
,
,点
,
分别是边
,
上的动点,且
,点
关于
的对称点
恰好落在
的内角平分线上,则
长为_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
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