解题方法
1 . 已知m,
,
,记直线
与直线
的交点为P,点Q是圆C:
上的一点,若PQ与C相切,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8440725e1df5ca0990b572dd84127914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db2c39601a998aeba8f76419fb30c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad8fd1a3be7dbff94c1e585cb05c1a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac35e70d31f4bde3340e7c93e3cc6f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c25b4d3207ab7c0bc74255ebb9a86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-05-28更新
|
664次组卷
|
4卷引用:第3套 新高考全真模拟卷(三模重组)
(已下线)第3套 新高考全真模拟卷(三模重组)(已下线)第4题 直线与圆相切的最值问题(压轴小题)广东省茂名市高2024届高三下学期高考模拟数学试题广东省茂名市2024届高三下学期第二次综合测试数学试题
2 . 已知
,
是圆
上的两个动点,且
,若点
满足
,点
在直线
上,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08227ca941898eb34941f446ca8b1de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf228af78c778387a2d1bf32af49848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d74b1d0480790400a9223e4437afdba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa66bb3e8ac7929111372c5161be01c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c37a608b9a139cc42e3b293585e877bf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知点
为曲线
上的动点,
为圆
上的动点,则线段
长度的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e11f2819a5d85236c0ce58b8a3c90d28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e383fcc122f267043fbafe0972bfb900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.3 | B.4 | C.![]() | D.![]() |
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2024·全国·模拟预测
4 . 已知
,
,设
是圆
上一动点,则
面积的最大值与最小值之差等于( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee80939187a84e1863eeb192a301c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76fc88ea5357b675c01e93c62fea338d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/197bed6b6083b62dc2b61ec1ead079ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.12 | B.![]() | C.6 | D.![]() |
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2024·全国·模拟预测
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5 . 已知直线
与圆
,过直线
上的任意一点
作圆
的切线PA,PB,切点分别为A,B,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3497af3942a788b64c6b91b62a8dbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024·全国·模拟预测
6 . 古希腊数学家阿波罗尼斯发现:在平面上,若动点
到相异两点
和
距离比值为不等于1的定值,则动点
的轨迹是圆心在直线
上的圆,该圆被称为点
和
相关的阿氏圆.已知
在点
和
相关的阿氏圆
上,其中点
,点
在圆
上,则
的最小值为( )
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/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/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a525534689bd2701205d4ab17574c39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805ad8e38b0042164bfdd85f7636838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddec4e8c7e44feeec9cf63d3b2b6907b.png)
A.![]() | B.![]() | C.4 | D.6 |
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2024高三·全国·专题练习
7 . 已知A(-2,0),B(0,2)两点,C是圆x2+y2-2x=0上任意一点,则△ABC面积的最小值是( )
A.3-![]() | B.3+![]() |
C.![]() | D.3 |
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解题方法
8 . 已知
为圆
上动点,直线
和直线
(
,
)的交点为
,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1847305625d68bef7f06d13a6a11184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b76400477bbd3432c64e408b6fb3f89d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9d62b35e90620e183e781643356c4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1c18d47903d245c47bdaf373980fad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db2c39601a998aeba8f76419fb30c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-21更新
|
1056次组卷
|
5卷引用:辽宁省葫芦岛市2024届高三下学期第一次模拟数学试题
辽宁省葫芦岛市2024届高三下学期第一次模拟数学试题河南省信阳市信阳高级中学2024届高三高考模拟预测(十三)数学试题河南省信阳市新县高级中学2024届高三下学期适应性考试(十)数学试题(已下线)专题3 学科素养与综合问题(单选题8)(已下线)专题2 与圆有关的最值问题【练】(压轴小题大全)
名校
9 . 已知圆,椭圆
,直线
,点
为圆
上任意一点,点
为椭圆
上任意一点,以下的判断正确的是( )
A.直线![]() ![]() |
B.当![]() ![]() ![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2024-03-20更新
|
562次组卷
|
3卷引用:第1讲:直线系与圆系的应用【讲】
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10 . 已知圆
上两点
满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab11ba6b230c4309e1b899eb58daae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da3ff6f17be99ec311610efa08ba002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1551d2fc374d65a631e73fcbb2c6c62.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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