1 . 已知直线
与圆
交于
两点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd40f44c911918ee3638eb1a24bb1bd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1e24a22a475d2d862e558978aa03a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知圆
.
(1)已知直线
,求该直线截得圆C的弦AB的长度;
(2)若直线
过点
且与圆C相交于
两点,求
的面积的最大值,并求此时直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41a532ec73d5c49a197b71874075efe1.png)
(1)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9385f98500602c954d1ba4e42d9ae30e.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232f941eb8c4345cf49137746a2461b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12225a1a1eda07908309f8100cc34726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
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3 . 已知圆,直线
,点
在直线
上运动,过点
作圆
的两条切线,切点分别为
,
,当
最大时,则( )
A.直线![]() | B.四边形![]() ![]() |
C.![]() | D.![]() ![]() |
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4 . 直线
(
)截圆
所得弦长的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4585f848fafa9d9e72ebddac20d07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363249d0034d4e586a3beb69b9e6aed3.png)
A.2 | B.![]() | C.4 | D.6 |
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2024-01-12更新
|
673次组卷
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4卷引用:内蒙古呼和浩特市2024届高三上学期学业质量监测数学(文)试题
名校
解题方法
5 . 直线
,圆
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458471d5702e3d293602856065b66e85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77276d70a9e00ec4adb72b430985d888.png)
A.直线![]() ![]() |
B.直线![]() ![]() |
C.直线![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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2024-01-12更新
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639次组卷
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7卷引用:黑龙江省齐齐哈尔市2023-2024学年高二上学期期末考试数学试题
黑龙江省齐齐哈尔市2023-2024学年高二上学期期末考试数学试题山东省青岛第二中学2023-2024学年高二上学期期末数学试题(已下线)高二数学开学摸底考02(北师大版,范围:选择性必修第一册全部)-2023-2024学年高二数学下学期开学摸底考试卷(已下线)高二数学开学摸底考 01(人教A版,范围:空间向量与立体几何+直线与圆+圆锥曲线+数列)-2023-2024学年高二数学下学期开学摸底考试卷吉林省长春市朝阳区长春外国语学校2023-2024学年高二下学期开学考试数学试题福建省福州市福清第一中学2023-2024学年高二下学期开门检测数学试题山东省临沂市第十九中学2023-2024学年高二下学期第一次质量调研考试数学试题
名校
解题方法
6 . 直线
:
和圆
:
,下列结论成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa4f4a2629ff3e042d91b987a9e501b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ecf7240772bb21d8ed901c3077e35d.png)
A.直线![]() ![]() ![]() |
B.当实数![]() ![]() ![]() ![]() |
C.当直线![]() ![]() ![]() |
D.圆![]() ![]() ![]() |
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2卷引用:吉林省长春市第六中学2023-2024学年高二上学期1月期末考试数学试题
7 . 已知直线
(
为常数)与圆
交于点
,当
变化时,若
的最小值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb40dae2b0f4048d3fabff25e6cbe443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2卷引用:甘肃省武威市第八中学2023-2024学年高二上学期期末数学试题
8 . 已知圆
内有一点
, 过
的直线交圆
于
、
两点.
(1)当
为弦
的中点时, 求直线
的方程;
(2)若圆
与圆
相交于
、
两点, 求直线
的方程及
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393a0e30b023f2a20d366eef481b5eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e69a73cedc514e44f40c8b6cd40110.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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdcf431fad1fd535fc09b3a9895d89d4.png)
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9 . 已知圆
下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985fb40d694595d9a1aabbc7a47882fd.png)
A.过点![]() ![]() ![]() ![]() ![]() |
B.过直线![]() ![]() ![]() ![]() ![]() ![]() |
C.圆![]() ![]() ![]() ![]() |
D.圆![]() ![]() |
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10 . 已知直线
,
,圆
,l过定点A,l与圆C相交于点M,N,且________.从①
;②
为等边三角形;③
;这三个条件中任选一个填入题中的横线上,并解答问题.
(1)求k的值;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc050b576fe56d49b7c607198f668975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dea47d61f80f887881dba20902b5a16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/633c8704e3d917bf5175ae1446328a22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12225a1a1eda07908309f8100cc34726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd0ca36bd0915844d9a5b25d1b376c8.png)
(1)求k的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12225a1a1eda07908309f8100cc34726.png)
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