名校
1 . 已知圆
,点
是圆
上的一点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ccdfd6d3e21084121ea5cd11b6b26e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.圆![]() ![]() |
B.已知![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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2024-06-13更新
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2卷引用:安徽省六安第一中学2024届高三下学期质量检测(三 )数学试卷
2024·全国·模拟预测
解题方法
2 . 过点
引圆
:
的两条切线,切点分别为
,
.若
,则过
,
,
三点的圆的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c9b882323edba16b3625458239b6f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f143ca890a2e92f28a942cbad62781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343310a9559753f54c15e84d26faa96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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3 . 已知圆O:
,P为直线l:
上的一个动点,过P作圆O的切线,切点分别为 A、B,若直线PA、PB关于直线l对称,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f24b3b1e682eb26b4ad1278f8cbd07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcaada7649455fbebcdbdbb9a94e6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2097c3d86a18ce211d7fcfb395788725.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-03更新
|
785次组卷
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4卷引用:内蒙古自治区锡林郭勒盟2023-2024学年高三下学期开学联考理科数学试题
内蒙古自治区锡林郭勒盟2023-2024学年高三下学期开学联考理科数学试题湖北省黄冈市浠水县第一中学2024届高三下学期第二次模拟考试数学试题(已下线)湖南省长沙市四县区2024届高三下学期3月调研考试数学试题变式题6-10(已下线)模型12 对称问题模型(第八章 解析几何)
名校
4 . 在平面直角坐标系
中,圆
的半径为
,其圆心在射线
上,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e058ef2a64b0d5a5a5ce4c6c8a028aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求圆
的标准方程;
(2)若直线
过点
, 且与圆
相切,求直线
的方程;
(3)自点
发出的光线
射到
轴上,被
轴反射,其反射光线所在的直线与圆
相切,求光线
所在直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cfb764b285362ee742b6dc613a1460a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e058ef2a64b0d5a5a5ce4c6c8a028aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9b5e076078240e0c5ad9763a9824d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)自点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c058a8ba318315dde9c5a0392944b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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5 . 已知圆
,点
在圆
上,过
可作
的两条切线,记切点分别为
,
,则下列结论正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9edf67c2e68042e26faefd72455386c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ac72a8d5a7c6e52dcab76cb9ea6074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.当![]() ![]() ![]() ![]() |
B.当![]() ![]() ![]() ![]() |
C.若存在![]() ![]() ![]() ![]() |
D.若存在![]() ![]() ![]() ![]() ![]() |
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解题方法
6 . 已知圆
:
,点
为直线
:
上的动点,则下列说法正确的是()
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e318cefab1d71238b6a770e9d5fe154e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54208d5a9eb99ad649c9ce1edd11dd8.png)
A.直线![]() ![]() |
B.若直线![]() ![]() ![]() |
C.若圆![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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解题方法
7 . 已知圆
,点
为直线
上一动点,过点
引圆
的两条切线,切点分别为
,
.
(1)当
时,求切线所在的直线方程;
(2)若线段
中点为
,求证:存在定点
,使得
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f25834d8218c53cb975c2a2fe7442a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97db90864548c02d5c235118aa7ee150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2977eea43a781e06d93e04a395a309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
(2)若线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b359a4bf9a682901c8f2ee0bdd8b6a19.png)
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解题方法
8 . 已知圆
,过直线
上一点P作圆O的两条切线,切点分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8a82a007d596239d4778c7d540e7d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.若点![]() ![]() |
B.![]() ![]() |
C.直线AB过定点![]() |
D.以线段AB为直径的圆可能不经过点O |
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解题方法
9 . 已知圆心为C的圆经过
,
两点,且圆心在直线
:
上,
(1)求圆C的方程
(2)在直线
:
上是否存在一点Q,过点Q向圆C引两切线,切点为E,F,使
为正三角形,若存在,求出点Q的坐标,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241ce9bd28046ce9b90f43b391132884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9f2b482e8a8e0e1b5c720a3574af70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e84801c624273c969392f5f45c7646.png)
(1)求圆C的方程
(2)在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4407788e4dc88210bca71a2551d4f2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307569acb68c533e026a1f09c6328833.png)
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2023-10-24更新
|
232次组卷
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2卷引用:云南省昆明市嵩明县2022-2023年高二上学期期中联考数学试题
名校
10 . 实数
满足
,则
取值可能是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e1f3452166a87264adc4b58e09ac27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33dace38ce40be8f2aa525dce4cefc16.png)
A.![]() | B.1 | C.![]() | D.3 |
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2023-09-30更新
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2卷引用:福建省漳州市漳浦立人学校2022-2023学年高二上学期期中考试数学试题