解答题-证明题 适中0.64 引用2 组卷391
如图,已知⊙O是
的外接圆,
是
边上的高,
是⊙O的直径.
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/ad2481bc1e914ae7aea64525c1b34133.png)
(1)求证:
;
(2)过点
作⊙O的切线交
的延长线于点
,若
,求
的长.
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/8a8e519bf3a24812a5ed620987804711.png)
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/7c60dc5ed20a4ec3af09978467181b13.png)
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/c0b2f5274cca4868860f72680fa536c9.png)
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/cfcdddc5b1384dcbb08352591a41a95b.png)
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/ad2481bc1e914ae7aea64525c1b34133.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/adc498664189433c8293210617803f2f.png)
(2)过点
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/8eb91cf5d0bf4c75a5c454dbebcba3c6.png)
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/b57bd5da4ffc4320a271dad3835a17a4.png)
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/c6c66d8218fa48ff87190db9d9748c26.png)
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/f96d439d57b1480ea32095ef0466802f.png)
![](https://img.xkw.com/dksih/QBM/2013/9/7/1571349197053952/1571349202829312/STEM/5431f1d1dbe149f5b90e9c2fed9b5533.png)
2013·山西长治·模拟预测
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