2024·全国·模拟预测
1 . 若直线
上仅存在一点
,使得过点
的直线与圆
切于点
,且
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd6e4185a3de5a361c4a87c62a770a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50878e35cc3c632655e64a99fef5e9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.3 | D.![]() |
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2 . 根据圆的性质我们知道,过圆
外的一点可以作圆
的两条切线,切点为
与
,我们把四边形
称为圆
的“切点四边形”.现已知圆
:
,圆外有一点
,则圆
的“切点四边形”的外接圆周长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/b5241e0e07a9cd48e4f853405dca1a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知过点
与圆:
相切的两条直线分别是
,若
的夹角为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d295a4cc3a58f9f38ee98337313c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f594bbe1426b673474f925bcb16bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知圆
与直线
,过
上任意一点
向圆
引切线,切点为
和
,若线段
长度的最小值为
,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d338302118320a452616cfd0ae17f086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b0bb5e556db350b26cfec471037695.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-06更新
|
209次组卷
|
4卷引用:浙江省临平萧山联考2023-2024学年高二上学期期末数学试题
浙江省临平萧山联考2023-2024学年高二上学期期末数学试题浙江省杭州市2023-2024学年高二上学期期末数学试题浙江省杭州第七中学2023-2024学年高二上学期期末数学试题(已下线)专题1 直线与圆的位置关系【练】(压轴小题大全)
名校
5 . 由点
向圆
引的切线长是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2e9c19c2d2f0355e730e9244504f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e171327b811e5b11e8767cd71e8d741.png)
A.3 | B.![]() | C.![]() | D.5 |
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6 . 过直线
上的动点
向圆心为
,半径为2的圆引两条切线
(
为切点),则四边形
的面积的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2924070a023138483fbbbf0ccaa73b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a56e5ddc6dc057aa4076130cc6ce19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/283b0cef5d644b8dceb910ce2c76f21c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 过点
与圆
相切的两条直线的夹角为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6d91b75bcc149e13767c8b61a76634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38dd8aad9cfb5e1fe2a45d80923f1571.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 自圆
外一点
引该圆的一条切线,切线长等于点
到原点
的长,则点
的轨迹方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626dd1e38f856778c2d3a987561b5d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
9 . 已知半径为1的圆经过点
,过点
向圆作切线,则切线长的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1e95fb519f59c46f40e4ab44660073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/accf35598ee054f1bf8b6584641d6d85.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-31更新
|
227次组卷
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2卷引用:北京市平谷区2023-2024学年高二上学期期末教学质量监控数学试卷
10 . 在平面直角坐标系
中,已知圆
,若圆
上存在点P,由点P向圆C引一条切线,切点为M,且满足
,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5dac36040d1be181a70527b0875701f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70506184daab999669b48b26e6aa00f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb49d4cf219518e1f21375a14bfb38e8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-30更新
|
806次组卷
|
7卷引用:广东省广州市天河区2023-2024学年高二上学期期末数学试题