名校
1 . 已知三点
、
、
在圆
上.
为直线
上的动点,
与圆
的另一个交点为
与圆
的另一个交点为
.
(1)求圆
的标准方程;
(2)若直线
与圆
相交所得弦长为
,求点
的坐标;
(3)证明:直线
过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444a4b2494e57a3544fd4ecaa105085d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346c0ff07b0cc9fac50c93ccc9bea549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffdd7c242e7302e42fe37b90dc43dd2.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/3eeb127770467c6634fcf72994599da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e61620a272dada8d4b9a9fab6379dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244355cacb3f649f7ffbcc795bfa065b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d260c4df7b0dc180af6980d21f3371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb57575dea540c569265de158429425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0215e13a9fb5574d5194aeb9507a98aa.png)
您最近一年使用:0次
2020-09-23更新
|
872次组卷
|
5卷引用:湖北省新高考联考协作体2020-2021学年高二上学期开学联考数学试题
湖北省新高考联考协作体2020-2021学年高二上学期开学联考数学试题(已下线)专题08 与圆有关的定点问题以及阿波罗尼斯圆-【重难点突破】2021-2022学年高二数学上册常考题专练(人教A版2019选择性必修第一册)(已下线)第2章《圆与方程》 培优测试卷(二)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册)四川省南充高级中学2020-2021学年高二下学期入学考试数学(文)试题四川省南充高级中学2020-2021学年高二下学期入学考试数学(理)试题
名校
解题方法
2 . 在平面直角坐标系
中,二次函数
的图象与坐标轴的交点都在圆
上.
(1)求圆
的方程;
(2)若圆
与直线
交于
、
两点,且以线段
为直径的圆经过原点
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580fd0922555f194b42229bc09686fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc209d7e24ff25c3ca4d7894353562fe.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
3 . 如数学命题一般由“条件”和“结论”两部分组成.正确的命题掲示了“条件”与“结论”之间的必然联系.如果我们把命题中的“条件”和“结论”互换身份,就有可能得到一个有意义的逆向命题;把一个数学命题中的某些特殊的条件一般化(比如取消某些条件过强的限制),从而得到更普遍的结论,叫做数学命题的推广.这两种方式都是发现数学新知识的重要途径.下面,给出个具体问题,请你先解答这个问题,并尝试按上面提示的思路,提出有意义的问题并解答.
圆O的方程为
,斜率为k的直线l与圆O交于两点 A,B,与x轴交于圆内点
,其中
点
为x轴上一点.
(1)当
,
时,若有
求 m的值;
(2)就本问题,请你尝试提出有意义的问答并解答(请注意完整、清晰、简洁地叙述你所提出的问题、本题视所提问题的意义及解答给分).
圆O的方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7375cbc04981305b37e887c1741e3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef20073a12bab727faa217718b63414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ef45b04ea62a009406b769a615ba93.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83fac7c530f31d7079f052c200c56cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57610afd116ab84660c807cc1aa3819.png)
(2)就本问题,请你尝试提出有意义的问答并解答(请注意完整、清晰、简洁地叙述你所提出的问题、本题视所提问题的意义及解答给分).
您最近一年使用:0次
名校
4 . 已知
,
为
上三点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/cecc9b95-4fd5-41bf-ada9-8aebaac0ea76.jpg?resizew=172)
(1)求
的值;
(2)若直线
过点(0,2),求
面积的最大值;
(3)若
为曲线
上的动点,且
,试问直线
和直线
的斜率之积是否为定值?若是,求出该定值;若不是,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f94c4f6b762fddb0e313050ef6932eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4896f254406ddfe0744b63f10724e76a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/cecc9b95-4fd5-41bf-ada9-8aebaac0ea76.jpg?resizew=172)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0f06735c714d7168d431ce7a41fc05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffd32d6983184405c886507bf33b0df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
2020-08-05更新
|
1313次组卷
|
11卷引用:江苏省泰州市2019-2020学年高一下学期期末数学试题
江苏省泰州市2019-2020学年高一下学期期末数学试题江苏省南京市金陵中学2020-2021学年高二上学期10月月考数学试题(已下线)2.2 直线与圆的位置关系(课堂培优)-2021-2022学年高二数学课后培优练(苏教版2019选择性必修第一册)(已下线)第28节 圆的方程、直线与圆、圆与圆的位置关系-备战2023年高考数学一轮复习考点帮(全国通用)(已下线)4.2.3 直线与圆的方程的应用-2020-2021学年高一数学课时同步练(人教A版必修2)(已下线)卷06 直线与圆的方程-单元检测(难)(原卷版)-2021-2022学年高二数学单元卷模拟(易中难)(2019人教A版选择性必修第一册+第二册)(已下线)2.5 (分层练)直线与圆 圆与圆的位置关系-2021-2022学年高二数学考点同步解读与训练(人教A版2019选择性必修第一册)黑龙江省双鸭山市第一中学2021-2022学年高二上学期第一次月考数学试题苏教版(2019) 选修第一册 选填专练 第2章 微专题二 与圆有关的最值、定值问题河南省南阳市桐柏县第一高级中学2021-2022学年高二上学期期中数学理试题(已下线)专题05 直线与圆综合大题18种题型归类-【巅峰课堂】2023-2024学年高二数学上学期期中期末复习讲练测(人教A版2019选择性必修第一册)
名校
解题方法
5 . 在平面直角坐标系
中,已知圆心在x轴上的圆C经过点
,且被y轴截得的弦长为
.经过坐标原点O的直线l与圆C交于M,N两点
(1)求当满足
时对应的直线l的方程;
(2)若点
,直线
与圆C的另一个交点为R,直线
与圆C的另一个交点为T,分别记直线l、直线
的斜率为
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2b1f4120365cb6ee4925fe417563f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
(1)求当满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3acaa513dd6a869329d8b0a6dbd399b8.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69540aa7942d9204c652ad1055e54b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0cb4b2e0a7af501779001e4f6bb6c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69e3f7ddd51215d00661c09cd900d60.png)
您最近一年使用:0次
2020-07-24更新
|
912次组卷
|
6卷引用:江苏省盐城市2019-2020学年高一下学期期末数学试题
江苏省盐城市2019-2020学年高一下学期期末数学试题江苏省扬州中学2020-2021学年高二上学期开学检测数学试题(已下线)专题09 与圆有关的定值问题-【重难点突破】2021-2022学年高二数学上册常考题专练(人教A版2019选择性必修第一册)(已下线)第2章《圆与方程》 培优测试卷(二)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册)江苏省镇江市扬中市第二高级中学2021-2022学年高二上学期第一次检测数学试题四川省内江市第六中学2021-2022学年高二上学期第二次月考理科数学试题
名校
6 . 在平面直角坐标系
中,点
为直线
上在第一象限内的点,
,以
为直径的圆
与直线
交于另一点
,且
,
(1)求圆
的方程;
(2)设
是圆
上两点,且满足
,试问:是否存在一个定圆
,使直线
恒与圆
相切.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c037b199f33cbed1efcffdd2376d8c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98ef6b26186130f8d88c66d3b3c78fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b57447e1330126b9cae7c37ab3d2cfc.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5c4bec57e8cda50cb923dd11e5dad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
名校
7 . 如图所示,在平面直角坐标系
中,圆
的方程为
,圆
与
轴交于
,
两点,且
在
的右侧,设直线
的方程为
.
![](https://img.xkw.com/dksih/QBM/2020/7/13/2505227887058944/2506688825999360/STEM/ce93425a961046cb9f6c391ba272d631.png?resizew=382)
(1)当直线
与圆
相切时,求直线
的方程;
(2)已知直线
与圆
相交于
,
两点.
①直线
与
轴交于点
,若
(
在
之间),求直线
的方程;
②连接
,
,并分别延长相交于点
,问是否存在一定直线
,使得点
恒在该直线上运动,若存在,请求出该直线的方程;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58878b04ac245c2c093f41560ca8b16.png)
![](https://img.xkw.com/dksih/QBM/2020/7/13/2505227887058944/2506688825999360/STEM/ce93425a961046cb9f6c391ba272d631.png?resizew=382)
(1)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a5cf4ce062534d617a50773908e9da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
②连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
8 . 在平面直角坐标系
中,圆
:
.
(1)
为直线
:
上一点.
①若点
在第一象限,且
,过点
作圆
的切线,求切线方程;
②若存在过点
的直线交圆
于点
,且
恰为线段
的中点,求点
纵坐标的取值范围;
(2)已知
,
为圆
上任一点,求一定点
(异于点
),使
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b028286277ca44bf85a50ef447dbfd6.png)
①若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/616c25ef280e91a181807bfd66b10898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
②若存在过点
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a56e5ddc6dc057aa4076130cc6ce19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532fd707f04337e9cb109e6202d32298.png)
您最近一年使用:0次
9 . 已知圆
,点
坐标为
.
(1)如图1,斜率存在且过点
的直线
与圆交于
两点.①若
,求直线
的斜率;②若
,求直线
的斜率.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/75bb4acc-93c8-4ca6-8810-48203a3265da.png?resizew=146)
(2)如图2,
为圆
上两个动点,且满足
,
为
中点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
(1)如图1,斜率存在且过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebac01772fba6b0eb3fbf14472a7f11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61f4947ae72c574f1dc8b7b2015d3ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/75bb4acc-93c8-4ca6-8810-48203a3265da.png?resizew=146)
(2)如图2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfe541293cab8a9a37d23b16ad7577e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/5752dcdc-ebe3-4370-80c5-01776f3ec220.png?resizew=148)
您最近一年使用:0次
2020高二·浙江·专题练习
名校
10 . 如图,在平面直角坐标系
中,已知圆O:
,过点
且斜率为k的直线l与圆O交于不同的两点A,B,点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/5042c9ee-bd0a-4184-8fa3-f7219cd59495.png?resizew=185)
(1)若直线l的斜率
,求线段AB的长度;
(2)设直线QA,QB的斜率分别为
,
,求证:
为定值,并求出该定值;
(3)设线段AB的中点为M,是否存在直线l使
,若存在,求出直线l的方程,若不存在说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6e298293515d3c5d8343b668fe8541d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96851165a69aea97838d5d48dd9a620.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/5042c9ee-bd0a-4184-8fa3-f7219cd59495.png?resizew=185)
(1)若直线l的斜率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc66cd5ccd5a579a42c6a241c62d764.png)
(2)设直线QA,QB的斜率分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69e3f7ddd51215d00661c09cd900d60.png)
(3)设线段AB的中点为M,是否存在直线l使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad83bcf0635b447bd4e95a4be34bf19.png)
您最近一年使用:0次
2020-01-04更新
|
900次组卷
|
7卷引用:【新东方】杭州高二数学试卷233