如图,点P是菱形ABCD的对角线BD上一点,连接CP并延长,交AD于E,交BA的延长线于点F.
(1)图中△APD与哪个三角形全等:_____.
(2)猜想:线段PC、PE、PF之间存在什么关系.
(1)图中△APD与哪个三角形全等:_____.
(2)猜想:线段PC、PE、PF之间存在什么关系.
![](https://img.xkw.com/dksih/QBM/2019/2/28/2150316011077632/2152037528526849/STEM/7da22213f7f64402a499abac90ffa6d4.png?resizew=169)
更新时间:2019-02-24 21:19:21
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【知识点】 相似三角形的判定与性质综合
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解答题-证明题
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【推荐1】已知四边形ABCD中,∠BAD=∠BDC=90°,BD2=AD•BC.
(1)求证:AD∥BC;
(2)过点A作AE∥CD交BC于点E.请完善图形并求证:CD2=BE•BC.
(1)求证:AD∥BC;
(2)过点A作AE∥CD交BC于点E.请完善图形并求证:CD2=BE•BC.
![](https://img.xkw.com/dksih/QBM/2018/5/26/1953830075867136/1957755139096576/STEM/a2882358fef840ddbfee4fe494745389.png?resizew=177)
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解答题-证明题
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适中
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【推荐2】如图,
是
的直径,点
在
上,连接
,过点
作
的切线
,交
的延长线于点
,
.
;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa69fd8445d01c98634c2e885b47d5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73565365e245829e5318c194a9d0738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f22894a7e2d6183d2edff0c09286ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01196e7926ae587d6c1ee8280544216d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8920446e287aa176a0fd2b569c84799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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