名校
解题方法
1 . 已知圆
,过直线
在第一象限内一动点P作圆O的两条切线,切点分别是A,B,直线
与两坐标轴分别交于M,N两点,则
面积的最小值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b33328faae2d2d4921900e97424de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45a95ab01852e341053ae0e12321044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
您最近一年使用:0次
2 . 已知圆
:
,过圆
外一点
作圆
的切线,切点为
,
,直线
与直线
相交于点
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.若点![]() ![]() ![]() ![]() |
B.当![]() ![]() ![]() |
C.直线![]() ![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
3 . 已知抛物线
上的三点
,B,C,直线AB,AC是圆
的两条切线,则直线BC的方程为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec68c680d1b8c8cfa98b48a27d2c46a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81550d38bd047ac4c6c0ffadc3712491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277e8382533e3ba18e213ea19ce6b9cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/96ae584d-41ad-4033-8665-1db4b86155fd.png?resizew=166)
您最近一年使用:0次
2024-01-30更新
|
301次组卷
|
2卷引用:江苏省镇江第一中学2022-2023学年高二上学期期末考试数学试题
解题方法
4 . 已知圆
与
轴正半轴的交点为
,从直线
上任一动点
向圆作切线,切点分别为
,
,过点
作直线
的垂线,垂足为
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab11ba6b230c4309e1b899eb58daae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2b5091f94b26111017bb5d74000f0d.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fcec77177443519207ffc6afb988d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e4fa04825ac7d071968056322d88be.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 已知抛物线
上三点
,直线
是圆
的两条切线,则
的面积最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309b6323be80b349b6771802b461d263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d28bc5dbfa6e0ae1a62876fc3d0dedb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.12 |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 已知抛物线C:
,圆S:
,点P在
上,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb96e1b322d79d5dae24b988d2b4e981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482114e7d648375868ef996c201ea1db.png)
A.圆上一点到C上一点的距离最小值为![]() ![]() |
B.圆心S到C上一点![]() ![]() |
C.过P作圆的两条切线与C的四个交点纵坐标乘积一定为112 |
D.过P作圆的两条切线与C的四个交点纵坐标乘积不一定为112 |
您最近一年使用:0次
7 . 已知点M是直线l:
上一动点,过点M作圆O:
切线,切点分别为P,Q.
(1)当OM的值最小时,求切线方程;
(2)试问:直线PQ是否过定点?若过,求出该定点;若不过,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1748d0813461ae3151f8a07f9dda383e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
(1)当OM的值最小时,求切线方程;
(2)试问:直线PQ是否过定点?若过,求出该定点;若不过,请说明理由.
您最近一年使用:0次
名校
解题方法
8 . 已知圆
与
轴正半轴的交点为
,从直线
上任一动点
向圆作切线,切点分别为
,
,过点
作直线
的垂线,垂足为
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab11ba6b230c4309e1b899eb58daae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407a6cd11bfd80e2eee4900f4e7881bd.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e4fa04825ac7d071968056322d88be.png)
A.![]() | B.![]() | C.1 | D.![]() |
您最近一年使用:0次
2023-12-19更新
|
451次组卷
|
5卷引用:江苏省决胜新高考2024届高三上学期12月大联考数学试题
名校
9 . 已知点
在抛物线
上,过点A作圆
的两条切线分别交抛物线于
,
两点,则直线
的斜率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceefb41e62dc253988b7241c9522fbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
10 . 已知
为坐标原点,椭圆
的左、右焦点分别是
,
,离心率为
.
,
是椭圆
上的点,
的中点为
,
,过
作圆
的一条切线,切点为
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a200ca2c4af794f4d1c6a5443830b5f.png)
![](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/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b67528f875a6d4bac8bbf784f7b66a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40cc5053061887ebff5b7f12bdea15e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d7e9566b9f146a243d2620256a139c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ce8eed2660a33465a7f764e76cdba8.png)
A.![]() | B.![]() | C.![]() | D.5 |
您最近一年使用:0次
2023-11-21更新
|
1256次组卷
|
6卷引用:江苏省无锡市梁溪区无锡市第三高级中学2023-2024学年高二上学期期中数学试题