1 . 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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解题方法
2 . 已知抛物线
和圆
,若抛物线与圆在交点处的切线互相垂直,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa2c731aaa4005382d5b4324e29fbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c649a1c8fa9d55613723d80d3f4833b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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3 . 圆
在点
处的切线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56dccc5720967ee3edce0174255e8ed8.png)
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名校
4 . 已知圆
.
(1)过点
作圆
的切线,求切线的方程;
(2)若直线
过点
,且被圆
截得的弦长为2,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e133eb3bb45bc93ecc88a186d7be937b.png)
(1)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5a6145990adf5574f0e0f2fc828ea4.png)
![](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/7e94852797399ba119b090fa957ee3a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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名校
解题方法
5 . 直线
与双曲线
的两条渐近线交于
两点,
分别为双曲线的左、右焦点.
(1)求过点
的圆的方程;
(2)设(1)中的圆和双曲线在第一象限交于点
,求圆在点
处的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a218602e8e3a52f74f760059aa7014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7638c88f01d609d79947033ed4ff36a2.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea98501007b43f9e3253d4ae91a1ae9.png)
(2)设(1)中的圆和双曲线在第一象限交于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2024-02-18更新
|
91次组卷
|
2卷引用:山东省菏泽市2023-2024学年高二上学期期末教学质量检测数学试题
解题方法
6 . 已知椭圆C:
(
)的离心率为
,直线l:
是椭圆C与圆
:
的一条公切线.
(1)求椭圆C的方程;
(2)若点
为椭圆C的一点,直线
:
交圆
于M,N两点,以M,N为切点分别作圆
的切线,两条切线交于点Q,证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc35409c8054fe18431c70e6fea0334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de85df85401e7e8da683ea4a784963c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15839b3af175b63e496dbf320ca7d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
(1)求椭圆C的方程;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c8d4762cddd87ca1baa79e0d1e158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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7 . 在平面上,动点
与两定点
满足
(
且
),则
的轨迹是个圆,这个圆称作为阿波罗尼斯圆.已知动点
与两定点
满足
,记
的轨迹为圆
.则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e5b80107ef1ece0ad477a7f2703d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/472393b18c7880e73b40e31fbe2d951c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51a8eb194c397afdb40737d432f87266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a06966dee4fbf74f02543337fd04efcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64929a846d98c92dc5a51e4927b0f99a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.圆![]() ![]() |
B.过点![]() ![]() ![]() |
C.过点![]() ![]() ![]() |
D.直线![]() ![]() ![]() ![]() ![]() |
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8 . 已知圆
和圆
是圆
上一点,
是圆
上一点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f96a501c261f723d67d4df10d82602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5429142c872401dff899623ae4904a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.圆![]() ![]() |
B.两圆的公共弦所在的直线方程为![]() |
C.![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-02-12更新
|
131次组卷
|
2卷引用:陕西省西安市莲湖区2023-2024学年高二上学期期末质量监测数学试题
9 . 设
,
两点的坐标分别为
,
.直线
,
相交于点
,且它们的斜率之积是
,记点
的轨迹为
.
(1)求
的方程
(2)设直线
与
交于
,
两点,若
的外接圆在
处的切线与
交于另一点
,求
的面积.
![](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/6fd0825e68122a65426840fbf07cf296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3cd61d00f89e68ccca2cac5c937783.png)
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10 . 下列说法不正确的是( )
A.过点![]() ![]() ![]() ![]() |
B.过点![]() ![]() |
C.若二项式![]() ![]() |
D.设随机变量![]() ![]() ![]() ![]() |
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