名校
1 . 直线
与圆
交于
两点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c10ddd7a65f48b33aac9b82126924a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知圆
的圆心在直线
上,且与直线
相切于点
.
(1)求圆
方程;
(2)是否存在过点
的直线
与圆
交于
两点,且
的面积是
(
为坐标原点),若存在,求出直线
的方程,若不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/17bcff775c514a90ab3a7c00c05e5804.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/b80885e74ae74f6eb7b2e83a9e9fde44.png?resizew=56)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/2af23dd6926f42f3b314cad33be57d67.png?resizew=80)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/7de8e1ece3f7402999f8be17b1ecec33.png?resizew=55)
(1)求圆
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/266fd6493b74449a9393cd53af96cdca.png?resizew=16)
(2)是否存在过点
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/162da034c64b4798a3b2322f7cc5d5a4.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/bb698ee86a704367875ceac8fbc7d407.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/79aeee873f904ac78297c6cd758e9b1e.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/6fe06310008a4ade9d255196a0b1e736.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/a993fd466e894c92840bb4880918a57c.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/01872a498b8f4b649460be9830570e85.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/fb588859b4ec4d56a85b9e7ea8d3295a.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/9cdcfa3c836b47c2aa4bef8fc5bbf81e.png?resizew=9)
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名校
3 . 已知,如图,
是圆
的直径,点
为圆
上一点,
于点
,交圆
于点
,
与
交于点
,点
为
的延长线上一点,且
.
![](https://img.xkw.com/dksih/QBM/2016/9/7/1573000916713472/1573000922562560/STEM/8a9afd1397b845d5b8d70b1c1016d2db.png)
(1)求证:
是圆
的切线;
(2)求证:
;
(3)若圆
的半径为5,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1074256fbf5ca9592f8be962fb401d4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9909a7084fde8170536cdece59e987ad.png)
![](https://img.xkw.com/dksih/QBM/2016/9/7/1573000916713472/1573000922562560/STEM/8a9afd1397b845d5b8d70b1c1016d2db.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d67471791dc53ef3f0dc4431643868bb.png)
(3)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ee608882881caff2f1e223177424ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
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