名校
解题方法
1 . 过抛物线
的焦点F的直线交抛物线于
两点,分别过
作抛物线的切线交于点
则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088fcdd595455906a1a7080d630611f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae6f48b9a53c0155a692509cf31f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae6f48b9a53c0155a692509cf31f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8b201c0b1a56b34d73edd645222957a.png)
A.若![]() ![]() |
B.点P在直线![]() |
C.![]() |
D.![]() ![]() |
您最近一年使用:0次
2022-05-28更新
|
1251次组卷
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5卷引用:浙江省嘉兴市海宁中学2022届高三下学期押题卷数学试题3
浙江省嘉兴市海宁中学2022届高三下学期押题卷数学试题3福建省厦门外国语学校2021-2022学年高二下学期数学期末模拟试题(3)湖南省郴州市嘉禾县第六中学2022-2023学年高二上学期第二次月考数学试题(已下线)【题型分类归纳】2022-2023学年高二数学同步讲与练(空间向量与立体几何、直线与圆、圆锥曲线、数列)(已下线)高二上学期期中测试卷(选择性必修第一册全部范围)-【同步题型讲义】2022-2023学年高二数学同步教学题型讲义(人教A版2019选择性必修第一册)
2 . 如图,过抛物线
的焦点F的直线
交抛物线于第一象限的点
,且
,过点
(不同于焦点F)的直线
与抛物线E交于A,B,过A作抛物线的切线交y轴于M,过B作
的平行线交y轴于N.
![](https://img.xkw.com/dksih/QBM/2022/5/27/2988245722980352/2988277651292160/STEM/46b9607b-cb77-4257-93fc-9ffd51f484c8.png?resizew=394)
(1)求抛物线方程及直线
的斜率;
(2)记
为
与y轴围成三角形的面积,是否存在实数
使
,若存在,求出实数
的值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b527ec9f92467b8f24554a2a67ee987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722ab54ab2804581032a5a105db6a1ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba85cd7cf4bdadb9f731be404de1e2a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62f52ac708df99711bb62973a028099a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://img.xkw.com/dksih/QBM/2022/5/27/2988245722980352/2988277651292160/STEM/46b9607b-cb77-4257-93fc-9ffd51f484c8.png?resizew=394)
(1)求抛物线方程及直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e4d7503a7d57ba242ad4e05c7006a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56a5af6bcaf289a85a32d86c626d5f06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
3 . 已知点
在抛物线E:
(
)的准线上,过点M作直线
与抛物线E交于A,B两点,斜率为2的直线
与抛物线E交于A,C两点.
(1)求抛物线E的标准方程;
(2)(ⅰ)求证:直线
过定点;
(ⅱ)记(ⅰ)中的定点为H,设
的面积为S,且满足
,求直线
的斜率的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afff6253b270f3acbbc947df5a938278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)求抛物线E的标准方程;
(2)(ⅰ)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(ⅱ)记(ⅰ)中的定点为H,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370abdf35cb8817d35b78eea892731ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c589f62fa1f7768ad080a73548116653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
您最近一年使用:0次
2022-05-25更新
|
2089次组卷
|
9卷引用:湖北省武汉市2022届高三下学期五月模拟(二)数学试题
湖北省武汉市2022届高三下学期五月模拟(二)数学试题江西省丰城中学2022-2023学年高二创新班上学期期中考试数学试题湖北省二十一所重点中学2023届高三上学期第二次联考数学试题江苏省南京市第五高级中学2022-2023学年高二上学期1月网课调研数学试题安徽省定远中学2022-2023学年高二下学期7月教学质量检测数学试卷安徽省滁州市定远县育才学校2022-2023学年高二下学期期末考试数学试卷(已下线)专题08 圆锥曲线 第三讲 圆锥曲线中的最值与范围问题(分层练)湖北省黄冈市浠水县第一中学2024届高三下学期第四次高考模拟数学试题江西省宜春市宜丰中学创新部2023-2024学年高一下学期6月月考数学试题
名校
4 . 如图,点
是正方体
中的侧面
内(包括边界)的一个动点,则下列命题正确的是___________ (请填上所有正确命题的序号).
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986302609563648/2986954742718464/STEM/597acaaff6df45ed9f2ad1c6c428dbb7.png?resizew=144)
①满足
的点
的轨迹是一条线段;
②在线段
上存在点
,使异面直线
与
所成的角是
;
③若正方体的棱长为1,三棱锥
的体积最大值为
;
④存在无数个点
,使得点
到直线
和直线
的距离相等.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986302609563648/2986954742718464/STEM/597acaaff6df45ed9f2ad1c6c428dbb7.png?resizew=144)
①满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e332ebf1ba3cdae6d074874a0f67c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
②在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e884ca9429486026caa5e2310b0e4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
③若正方体的棱长为1,三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e21133ef66f0f75c3de70c1a1b697055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
④存在无数个点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
您最近一年使用:0次
解题方法
5 . 如图所示,曲线
,曲线
,过点
作直线交曲线
于点A,交曲线
于点B,若点C在曲线
的准线上.
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986381346414592/2986469922283520/STEM/7e59e280-f6d2-49cf-99bc-b1ffcb9aa9e9.png?resizew=138)
(1)求
;
(2)若存在直线使点B为
中点,求A点横坐标(用p表示)及
斜率的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/617ffe04ebe8be6e6a60b0284efbe91d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa064dbdaf8490286f9efc0eaca84ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b532b51e584020507d40c057c0527023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986381346414592/2986469922283520/STEM/7e59e280-f6d2-49cf-99bc-b1ffcb9aa9e9.png?resizew=138)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
(2)若存在直线使点B为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
2022-05-24更新
|
1864次组卷
|
6卷引用:浙江省新高考名校交流2022届高三下学期5月模拟卷(二)数学试题
浙江省新高考名校交流2022届高三下学期5月模拟卷(二)数学试题圆锥曲线之间的综合问题(已下线)专题23 圆锥曲线中的最值、范围问题 微点2 圆锥曲线中的范围问题(已下线)第13讲 抛物线(9大考点)(2)(已下线)考点18 解析几何中的范围、最值问题 2024届高考数学考点总动员(已下线)专题3-6 抛物线综合大题归类(讲+练)-【巅峰课堂】2023-2024学年高二数学热点题型归纳与培优练(人教A版2019选择性必修第一册)
解题方法
6 . 在平面直角坐标系
中,已知
,点
到直线
的距离比到点
的距离大2,记
的轨迹为
.
(1)求
的方程;
(2)过
的直线
交
于
两点,过点
作
的切线,交
轴于点
,直线
交
于点
(不同于点
),直线
交
轴于点
.若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6d672b29b228ed1451eeee3ca893bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
7 . 已知直线
经过抛物线
的焦点
,且与抛物线
交于
两点
(1)求抛物线
的方程;
(2)若点
在抛物线
上,且
的重心
在
轴上,求当点
到
距离最小时,直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc050b576fe56d49b7c607198f668975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b527ec9f92467b8f24554a2a67ee987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd58827930d58b071a7e618d96e72c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2022-05-23更新
|
645次组卷
|
3卷引用:江苏省扬州市2022届高三下学期高考前调研测试数学试题
8 . 如图,
是抛物线
:
的焦点,过
的直线交抛物线
于
,
两点,点
在第一象限,点
在抛物线上,使得
的重心
在
轴上,直线
交
轴于点
,且
在点
的右侧.记
,
的面积分别为
,
.已知点
在抛物线
上.
![](https://img.xkw.com/dksih/QBM/2022/5/16/2980655692152832/2984766730067968/STEM/56b3ffde-e85f-46ce-a539-33a4ea5fb28c.png?resizew=133)
(1)求抛物线
的方程;
(2)设
点纵坐标为
,试用
表示点
的横坐标;
(3)在(2)的条件下,求
的最小值及此时点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7572ecc467c061ef71cf4486ec63ec3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ea53e1a6ae39dfaefbcd787a08b2ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://img.xkw.com/dksih/QBM/2022/5/16/2980655692152832/2984766730067968/STEM/56b3ffde-e85f-46ce-a539-33a4ea5fb28c.png?resizew=133)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dffc8f00c4e34f8113ba86977c3136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(3)在(2)的条件下,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
您最近一年使用:0次
解题方法
9 . 已知点M为直线
上的动点,
,过M作直线
的垂线
,
交
的中垂线于点P,记点P的轨迹为C.
(1)求曲线C的方程;
(2)设过点
的直线与曲线C交于A,B两点,在x轴上求一定点Q(Q异于点N且异于点
,使N到直线
和
的距离相等.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92464eab422181f510af2e1a68fb49d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71fb572a6f07dcade5332bea766020f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(1)求曲线C的方程;
(2)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2385884978fefcfd46ec027d0822e472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2385884978fefcfd46ec027d0822e472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf25e032b5599ac49383de06e776365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf702adb116c1e46569eb7050d029f49.png)
您最近一年使用:0次
10 . 在平面直角坐标系
中,动圆M与圆
相内切,且与直线
相切,记动圆圆心M的轨迹为曲线C.
(1)求曲线C的方程;
(2)过点
的直线l与曲线C交于A,B两点,分别以A,B为切点作曲线C的切线
,直线
相交于点P.若
,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0182254bb5f0bcdfc0f041038e42e235.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
(1)求曲线C的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3182f32cc4f57ff13155ada0231d606f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8818b57c17156896351898969668efc.png)
您最近一年使用:0次
2022-05-20更新
|
1021次组卷
|
3卷引用:河北省唐山市2022届高三三模数学试题