名校
1 . 已知点
和
,点
在
轴上,且
为直角,则点
坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7086e04471893c3b8e7526692286511f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf8f5d8be251bf2848d6d10aa0340f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() |
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名校
解题方法
2 . 已知曲线C:
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2085af2326d0e13a12d3db8dbb79f51.png)
A.若![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() |
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名校
3 . 由点
向圆
引的切线长是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2e9c19c2d2f0355e730e9244504f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e171327b811e5b11e8767cd71e8d741.png)
A.3 | B.![]() | C.![]() | D.5 |
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4 . 已知两圆
:
,
:
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08227ca941898eb34941f446ca8b1de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca2415dee662897b676734cfc768d66.png)
A.点![]() ![]() |
B.圆![]() ![]() |
C.圆![]() ![]() |
D.点![]() ![]() ![]() ![]() ![]() |
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5 . 如图,已知点
和圆
.
(1)求以
为直径的圆N的标准方程;
(2)设圆M与圆N相交于A,B两点,试判断直线
是否为圆M的切线.若是,请求出直线
和
的方程;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a4848c9764b738e58d6efbc0b9cf77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c3adf33b6fbd524c3e85e04b125fb3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/5fcf3e0e-4665-464d-a22d-052072e14796.png?resizew=148)
(1)求以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
(2)设圆M与圆N相交于A,B两点,试判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
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6 . 已知圆
过点
,且与直线
相切于点
.
(1)求圆
的标准方程;
(2)求圆
与圆
的公共弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb3e0b614f6571ee55c33ac08c9a4a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad42625f296d2a4b65180e2f7b776beb.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3901818136c70ec032e852208da1663.png)
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解题方法
7 . 已知点
和圆Q:
,过点P作圆Q的两条切线,切点分别为A、B,
(1)求切线
的长;
(2)求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c7f6a03826a5ad351c1f7ca553a6945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b322de0d8e126e99e612a11a677fb81.png)
(1)求切线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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8 . 已知圆
与
相交于A、B两点,
(1)求
的长;
(2)求圆心在直线
上,且经过A,B两点的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df82492b85f4f13752a30533b95bb26b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be5a82a2558b265e4b6a507d0c8f47c2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)求圆心在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2297db3c14c256b9691fbb8e5bba978.png)
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9 . 已知圆
的圆心在
轴上,且经过
,
两点,过点
的直线
与圆
相交于
,
两点.
(1)求圆
的方程;
(2)当
时,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d08be2b9d6f2e4293ee6fcec763a23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3512fdaf9177e49972ed35fa2ca5a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd27361a18e21a618800dc6b2ae52fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918557f3877399b64fcd259d1bc35637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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10 . 已知圆
关于直线
对称,且圆
与直线
相切于点
.
(1)求圆
的标准方程;
(2)若过点
的直线
被圆
截得的弦
长为6,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baabfd32465e9e50409413d9c1358279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae5768f6f155315693aef27712c4131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2007972af3341f27fbc32ce62dfce5e2.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f96948c49e1a46bd6e52fe47984001c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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