名校
解题方法
1 . 如图,已知圆
,点
为直线
上一动点,过点
作圆
的切线,切点分别为
、
,且两条切线
、
与
轴分别交于
、
两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/1f42f9b4-bfb3-4d6d-b02e-26dd34894e6c.png?resizew=214)
(1)当
在直线
上时,求
的值;
(2)当
运动时,直线
是否过定点?若是,求出该定点坐标;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de55df68bf1d942ebc9227ecfd72f150.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/1f42f9b4-bfb3-4d6d-b02e-26dd34894e6c.png?resizew=214)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5a116a0cfec5d1979c5c8db09ffb2f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
2022-12-03更新
|
1557次组卷
|
6卷引用:河南省许昌市禹州市高级中学2022-2023学年高二上学期12月期末数学试题
解题方法
2 . 已知抛物线
的方程是
,圆
的方程是
,过抛物线
上的点
作圆
的切线,两切线分别与抛物线
相交于与点P不重合的
两点.
(1)求直线PA,PB的方程(直线PB的方程用含b的等式表示);
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffb48508419bce460986c3a5fa80ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb65ddc090099e47890daae91e2cad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9adf6be42490f0472621a45d194ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce7e401854797db445858b9c3ac7ddf.png)
(1)求直线PA,PB的方程(直线PB的方程用含b的等式表示);
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b0bec6e780130fbed900fdb153555d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a881309775c3b6a9f4ed408838666342.png)
您最近一年使用:0次
解题方法
3 . 在平面直角坐标系xOy中,已知R(x0,y0)是椭圆C:
(a>b>0)上一点,从原点O向圆R:(x﹣x0)2+(y﹣y0)2=8作两条切线,分别交P、Q两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/92320c4e-ad29-4d01-b56c-d08ef4d9ba1a.png?resizew=207)
(1)若R点在第一象限,且直线OP⊥OQ,求圆R的方程;
(2)若直线OP、OQ的斜率存在,并记为k1、k2,求k1•k2;
(3)试问OP2+OQ2是否为定值?若是,求出该值;若不是,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277e0eae79ef5e4cb525e5200bfc4b01.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/92320c4e-ad29-4d01-b56c-d08ef4d9ba1a.png?resizew=207)
(1)若R点在第一象限,且直线OP⊥OQ,求圆R的方程;
(2)若直线OP、OQ的斜率存在,并记为k1、k2,求k1•k2;
(3)试问OP2+OQ2是否为定值?若是,求出该值;若不是,说明理由.
您最近一年使用:0次
2020-11-07更新
|
2327次组卷
|
10卷引用:2016届河南省南阳、周口、驻马店等六市高三第一次联考理科数学试卷
2016届河南省南阳、周口、驻马店等六市高三第一次联考理科数学试卷2015-2016新疆哈密地区二中高二下期末考试理科数学卷2017届河北衡水中学高三理上学期四调考试数学试卷2016-2017学年安徽省黄山市高二上学期期末质量检测数学(理)试卷【区级联考】天津市河东区2019届高三二模考试数学(文史类)试题【区级联考】天津市河东区2019届高三二模数学(理)试题(已下线)选择性必修第一册模块检测卷(能力提升)-2020-2021学年高二数学单元测试定心卷(人教A版2019选择性必修第一册)(已下线)专题2 蒙日圆 微点1 蒙日圆的定义、证明及其几何性质2016-2017学年安徽省黄山市高二上学期期末质量检测理数试卷(已下线)第五篇 向量与几何 专题1 蒙日圆与阿氏圆 微点1 蒙日圆的定义、证明及其几何性质
名校
4 . 在平面直角坐标系
中,已知圆
的方程为
,
点的坐标为
.
(1)求过点
且与圆
相切的直线方程;
(2)过点
任作一条直线
与圆
交于不同两点
,
,且圆
交
轴正半轴于点
,求证:直线
与
的斜率之和为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84269a13118a599708926a24c53d925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1a4e2d41655ea7214d61bf6ed34e1b.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/c5db41a1f31d6baee7c69990811edb9f.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/6e61620a272dada8d4b9a9fab6379dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30513ea48bc1ef3ae78adac83d894f14.png)
您最近一年使用:0次
2019-02-06更新
|
2036次组卷
|
5卷引用:【市级联考】河南省驻马店市2018-2019学年高一上学期期末考试数学(理)试题
名校
5 . 如图,已知圆
的方程为
,圆
的方程为
,若动圆
与圆
内切与圆
外切.
![](https://img.xkw.com/dksih/QBM/2018/7/24/1995250433974272/2020809297018880/STEM/62fcfe27-78eb-4b9e-8dff-c72a5b9a539c.png?resizew=373)
求动圆圆心
的轨迹
的方程;
过直线
上的点
作圆
的两条切线,设切点分别是
,若直线
与轨迹
交于
两点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3bcbf8c7734bd134e706c8ef0b3a5e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e3673768a44e67fde818ab4d9f527e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://img.xkw.com/dksih/QBM/2018/7/24/1995250433974272/2020809297018880/STEM/62fcfe27-78eb-4b9e-8dff-c72a5b9a539c.png?resizew=373)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.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/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2600a54b7bf3f79aaec7d49a47f6b4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bcf98560dc405c6ab605753f13200b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c8ab2c2526a5debd70778f2727585dd.png)
您最近一年使用:0次
2018-08-29更新
|
5004次组卷
|
8卷引用:河南省中原名校联盟2021-2022学年高三下学期4月适应性联考理科数学试题
河南省中原名校联盟2021-2022学年高三下学期4月适应性联考理科数学试题【市级联考】江西省南昌市2017-2018学年度高三第二轮复习测试卷文科数学(七)湖南师大附中2019届高三月考试题(七)数学(文)【市级联考】江西省萍乡市2019届高三一模考试数学(文)试题湖南师范大学附属中学2018-2019学年高三第七次月考数学(文)试题(已下线)专题02 求轨迹方程问题(第五篇)-备战2020年高考数学大题精做之解答题题型全覆盖(已下线)专题01 直线与圆相结合问题(第五篇)-备战2020年高考数学大题精做之解答题题型全覆盖陕西省宝鸡市渭滨区2021届高三下学期适应性训练(一)理科数学试题
14-15高二上·河南·期中
解题方法
6 . 已知圆C的方程为
,过点M(2,4)作圆C的两条切线,切点分别为A,B,直线AB恰好经过椭圆T:
(a>b>0)的右顶点和上顶点.
(1)求椭圆T的方程;
(2)已知直线l:y=kx+
(k>0)与椭圆T相交于P,Q两点,O为坐标原点,求△OPQ面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1872cb62ecc21a48fb0aa595bcf8718c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8e513c67b7810935ff4f4852f0cdce.png)
(1)求椭圆T的方程;
(2)已知直线l:y=kx+
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
您最近一年使用:0次