名校
1 . 圆
与
的位置关系为______ ;与圆
,
都内切的动圆圆心的轨迹方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f137a4a18b73e7286db82588ba2fd975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5093d0fbea77573dd366f6a8361bbc2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
您最近一年使用:0次
2024-02-06更新
|
720次组卷
|
5卷引用:河南省信阳市固始县2023-2024学年高二上学期期末考试数学试卷
解题方法
2 . (1)已知直线经过点
,在两坐标轴上的截距都不等于零,且在
轴上的截距等于在
轴上的截距的2倍,求该直线的方程;
(2)求以
为圆心,且与圆
相外切的圆
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25695f095f4b3eda1db9913870032218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)求以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05029046ee04857d5edf4aade4b1fb04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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3 . 若圆
与圆
相交,则实数m的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a8726f1777620112190c7d0e658a45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c268ca133706dfb96a3ebb1dc60be40.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知一个动圆P与两圆
:
和
:
都外切,则动圆P圆心的轨迹方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4dd09871437931ae6826265a40a1e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e635813faa2b56067f5d7fe2dd3b33.png)
A.![]() ![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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解题方法
5 . 动圆
与圆
和圆
中的一个内切,另一个外切,记点
的轨迹为
.
(1)求
的方程;
(2)已知点
轴与
交于
两点,直线
与
交于另一点
,直线
与
交于另一点
,记
的面积分别为
.若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c3305d6e09dafcd39ca4f38feb0c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ecdd0419df9296aa42e144af6f5864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70ec2877ec81247efca41bddecd3e950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cce0e92fa3f627016da313b26b88a2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86a18340d2deede2c12f5110a4150a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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解题方法
6 . 已知圆
,两点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fd030f24e5c9212929da6b7f57c006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)若r=8,直线l过点B且被圆C所截的弦长为6,求直线l的截距式方程;
(2)动点
满足
,若P的轨迹与圆C有公共点,求半径r的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5750ac362440ebb1b3d1024be72819a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fd030f24e5c9212929da6b7f57c006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)若r=8,直线l过点B且被圆C所截的弦长为6,求直线l的截距式方程;
(2)动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6cc453ee99aa39fca53adad145832.png)
您最近一年使用:0次
名校
7 . 已知圆
:
及圆
:
,若存在点P,使得
,
关于点P对称,则
,
的位置关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e1611dfbd7a0ff00f33dbfbdfd6a9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07fea589a65f3a9639aabeb066db6c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
A.相离 | B.相交 | C.外切 | D.内切 |
您最近一年使用:0次
8 . 圆
与圆
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c5ed41cb6656857482d6c47cb338353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e30daccfa5e5fee71273ae2499bfa8.png)
A.相切 | B.相交 | C.外离 | D.内含 |
您最近一年使用:0次
9 . 已知圆
:
,圆
:
,P,Q分别是
,
上的动点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed65024898bb517e8cd6a2c663b836e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f46bd6985253f993dc2d1c12b801dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.当直线PQ与![]() ![]() ![]() ![]() |
D.当直线PQ与![]() ![]() ![]() |
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名校
解题方法
10 . 下列结论中正确的是( )
A.若直线![]() ![]() ![]() ![]() |
B.已知曲线![]() ![]() ![]() ![]() ![]() |
C.若直线![]() ![]() ![]() |
D.圆![]() ![]() |
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