名校
1 . 若椭圆
上的点到直线
的最短距离是
,则
最小值为
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/618ba17b93e4e22a96ab207ca9c426a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/2024/1/17/3413231833997312/3413249789411328/STEM/79139c04a9534e0a91d2fdff4d2b9ecb.png?resizew=4)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
2 . 如图,四边形
的四个顶点的坐标为
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/92fa358c-3f96-4943-8b54-9e1bd1f7e207.png?resizew=177)
(1)求线段
的中垂线的方程;
(2)设过点
的直线与四边形
的外接圆交于
,
两点,若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2375a27ead9549550676d4e6a2b47243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f605a7fc2f1064fe14882ee426839db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e71cc0231c4b6393a3a94c27782fb76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae79aa5fe83e708cb832b6893a15c52.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/92fa358c-3f96-4943-8b54-9e1bd1f7e207.png?resizew=177)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/024aad9750f73ef0a6944584711bb255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa7d8f9f80c73e19bbc67901898b5fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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3 . 已知圆
,过直线
上一动点P作圆C的两条切线,切点分别为A,B,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6bb6734e5f1d65e276e6007e3693c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54768ddff965fb42fd598a145e5e0b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd79ea6078a73c1e7ec4769e5546abec.png)
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2024-01-22更新
|
760次组卷
|
2卷引用:重庆市沙坪坝区重庆一中2024届高三上学期12月月考数学试题
名校
4 . 已知圆
,直线
为
上的动点,过点
作圆
的切线,切点为
,则
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb95724e46951b22aefbbff99876109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b0f09210a526e4f2c7fc3d241c1dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d341082cc54b1cb7a790af9ec4a365d.png)
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2024-01-21更新
|
188次组卷
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2卷引用:重庆市好教育联盟2024届高三上学期12月联考数学试题
名校
5 . 已知过点
的直线
与圆
相切,则直线l的方程为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbaf922513ca602dfb3bc2bd0706399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5fa0ceb1ec6fafe6b39a3fe26059293.png)
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解题方法
6 . (1)若直线
与直线
平行,求
的值;
(2)若直线
与直线
垂直,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1802c044206288957783bd010addebfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7831789b24381f7505af389650b5e0b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e571e39ab1a34b94e15501a4eb6a2aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63262f6679d09616d89f0b4e7e4a9145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
7 . 已知直线
,
,一条光线从点
射出,经
反射后,射到
上,再经
反射后,回到
,则该光线经过的路程长度为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4f7744e04704e5363bd5d068635480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f699719b93e5780f30ba31ef94a1309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2024-01-11更新
|
309次组卷
|
3卷引用:重庆市部分学校(九校联盟)2023-2024学年高二上学期12月月考数学试题
名校
8 . 已知直线
经过点
,圆
,若直线
与圆C相切,则直线
的方程为____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37915bd9aa444a9ff7d936de83534bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5b7d863a2bce41bac2fa17fdea1aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解题方法
9 . 设
,圆
:
(
)与
轴正半轴的交点为
,与曲线
的交点为
,直线
与
轴的交点为
,若数列
的通项公式为
,要使数列
成等比数列,则常数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe977dbfe794d737902609918f4dec63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc31dcdb99754fc452ff2b92a2fb8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61c3568303a6b517a1b9ff47f154389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e60016c6a4311390d07afa8bf4b3963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef469c7b7cb9945b984222381b9c000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bebeab6759b4ed06605ff231b1b88c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839594b48d5ff3bf74ed9d5a2792b13a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2547e4661f2f10ffda5267f0d3d336e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fd18a909cecbaee7115d6b15631d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4e670976fdc99871e65c9396f5176d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c16833af5bb003e20c6c838a0976a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.2 | B.1 | C.1或2 | D.2或4 |
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解题方法
10 . 已知
,
是双曲线
的左、右焦点,过点
的直线
与
的两条渐近线从左到右依次交于
,
两点,且
,
,则
的渐近线的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28b29dbc76e87055e27ea1cf9d34310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a178244b9aa3b4f53876c9d223730fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-12-12更新
|
123次组卷
|
2卷引用:重庆市部分学校(九校联盟)2023-2024学年高二上学期12月月考数学试题