名校
解题方法
1 . 已知
是圆
上一个动点,且直线
与直线
相交于点P,则
的取值范围是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f25834d8218c53cb975c2a2fe7442a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241ffcc6fe16c9379043f69bce4c2432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ef1b199dd4744b1508f959ae9d0e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d341082cc54b1cb7a790af9ec4a365d.png)
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解题方法
2 . 椭圆
上一点
和圆
上一点
,则
的值可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e94ed2df60926cb418bd16d1934932d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
A.![]() | B.1 | C.3 | D.4 |
您最近一年使用:0次
名校
解题方法
3 . 唐代诗人李颀的诗《古从军行》开头两句说:“白日登山望烽火,黄昏饮马傍交河”.诗中隐含着一个有趣的数学问题——“将军饮马”,即将军在观望烽火之后从山脚下某处出发,先到河边饮马后再回军营,怎样走才能使总路程最短?在平面直角坐标系中,设军营所在区域为
,若将军从点
处出发,河岸线所在直线方程为
,并假定将军只要到达军营所在区域即回到军营,则“将军饮马”的最短总路程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db669e354be3c5c0053926618d9a310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a525534689bd2701205d4ab17574c39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985b973395bcd371cd1e26d3fcd1c36.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
4 . 已知动点
在抛物线
:
,动点Q在圆
:
上,且
之间距离的最小值为
.
(1)求抛物线
和圆
的方程;
(2)抛物线
上是否存在三点
,使得
外切于圆
?若存在,求出
三点的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64fab6c8f3bc2b5c4a229ea39e6ae5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
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解题方法
5 . 已知圆
,点
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aee4c44f23b55bfef9a968535b63f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383407840c52dc7878e113e3393e9780.png)
A.圆![]() ![]() ![]() |
B.圆![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.过点![]() ![]() ![]() ![]() ![]() |
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名校
6 . 如图,经过坐标原点
且互相垂直的两条直线
和
与圆
相交于
四点,
为弦
的中点,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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7754ea5f6847cf3176c46b32e12d9b44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e41bb93091181ea9471e306e7e1d46d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.线段![]() ![]() |
B.弦![]() ![]() |
C.点![]() |
D.四边形![]() ![]() |
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2022-12-29更新
|
1027次组卷
|
6卷引用:重庆市第十一中学校2022-2023学年高二上学期期中数学试题
重庆市第十一中学校2022-2023学年高二上学期期中数学试题湖南省湘西州吉首市2022年第一届中小学生教师解题大赛数学试题江苏省宿迁市沭阳塘沟高级中学2022-2023学年高二下学期第一次月考数学试题(已下线)第五篇 向量与几何 专题2 圆幂定理与根轴 微点3 圆幂定理与根轴综合训练江苏省无锡市南菁高级中学2023-2024学年高二上学期期末模拟数学试题(已下线)专题2 与圆有关的最值问题【练】(压轴小题大全)
名校
7 . 已知圆
:
,
:
,点P,A,B分别在x轴和圆
,
上.
(1)判断两圆的位置关系;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7b0a68f2caf4bd19e5ea111c83a031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c314d952831ec386532e4424910d2888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(1)判断两圆的位置关系;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3979f27823cdcba516dfa885d8afe19d.png)
您最近一年使用:0次
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解题方法
8 . 已知点
分别是抛物线
和圆
上的动点,
到
的准线的距离为
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ba86ffc6e5542b62319848c14acaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ebd1f5a51fa04f5601359c8f590bd25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3a20540c98c4f6aabb4d88f1d81228.png)
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2022-11-28更新
|
652次组卷
|
3卷引用:重庆市第一中学校2022-2023学年高二上学期期中数学试题
名校
解题方法
9 . 已知圆C:
,直线
过定点
.
(1)若
与圆
相切,求直线
的方程;
(2)若点
为圆
上的一点,求
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c8fd43588e3d6a8098725ead54ff6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee6f55f5de53781cc0e1c61f9fc5995.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca51f72e8105b74f7a70a0cdf8eecfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea83c4aba9e035aa9ede067d60fa6605.png)
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2022-11-21更新
|
473次组卷
|
2卷引用:重庆市永川北山中学校2022-2023学年高二上学期第一次月考(10月)数学试题
名校
解题方法
10 . 设圆
满足:①截
轴所得弦长为
;②被
轴分成两段圆弧,其弧长的比为
,在满足条件①、②的所有圆
中.
(1)求圆心到直线
的距离最小的圆
的方程;
(2)在(1)的条件下,若圆
的圆心在第一象限,将
向左平移
个单位,向下平移
个单位,得到一个圆
,点
为直线
上一动点,过
作圆
的两条切线,切点分别为
、
,点
为弦
的中点,点
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84783b6ba0f36789519816101a437f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求圆心到直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b65826e98ba9bea060a68b4a66a2555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)在(1)的条件下,若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd9f5f104330416004d0c0e50f42609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b53b7005eb319c3d652c05040fcdf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1604a6129804aa59109ee87edbedf742.png)
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2022-10-13更新
|
582次组卷
|
4卷引用:重庆市第十八中学2022-2023学年高二上学期10月月考数学试题
重庆市第十八中学2022-2023学年高二上学期10月月考数学试题四川省大英中学2022-2023学年高二上学期期末考试数学(理)试题(已下线)专题05 圆的压轴题(1)(已下线)2.1.4 圆与圆的位置关系(十大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)