题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022514-71401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022514-47779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022515-72093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022515-38648.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022515-28827.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022515-61473.png)
(3)在满足条件(2)的椭圆上是否存在点P,使得从P向圆所引的两条切线互相垂直,如果存在,求出点的坐标,如果不存在,说明理由.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022516-64540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022516-81085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022516-56012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022516-67527.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022516-49774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022515-72093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022517-56745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022517-61293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022517-86088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022517-44583.png)
将
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022517-98800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022517-16595.png)
因
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022518-36092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022518-64937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022518-52445.png)
方法2:设切线的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022518-55230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022518-63445.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022519-44141.png)
因
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022519-71821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022519-81537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022518-52445.png)
(2)因
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022519-35235.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022520-10941.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022520-73537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022520-99897.png)
(3)如果存在满足条件的点P,则向圆引两条切线,切点分别为M、N,连结OM、ON,则
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022520-68469.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022520-58398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022521-71298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022520-99897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022521-16249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022521-30491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022521-99947.png)
解析
核心考点
试题【已知椭圆内有圆,如果圆的切线与椭圆交A、B两点,且满足(其中为坐标原点).(1)求证:为定值;(2)若达到最小值,求此时的椭圆方程;(3)在满足条件(2)的椭圆】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
在平面直角坐标系xOy中,以O为极点,x轴正半轴为极轴建立极坐标系,直线l的极坐标方程为ρ(cosθ+sinθ)=1.圆的参数方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022509-55523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022501-15870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022502-43617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022502-48755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022502-55666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022502-55666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022502-43617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022502-67119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022502-35115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022502-55666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022502-21145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022503-72509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022503-47846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022503-72509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022502-21145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022503-72509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022503-25205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022503-88420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022504-21341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022504-77375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022504-61211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022504-73484.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022455-75329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022455-30051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022455-62633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022455-47395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022455-30051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022447-41849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022447-55749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022448-87829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022448-42531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022448-28995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022448-13447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022449-28432.png)
A.圆![]() | B.圆![]() |
C.圆![]() | D.以上三种情况都有可能 |
在△ABC中,顶点A(-1,0),B(1,0),动点D,E满足:
①
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022442-35360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022443-78352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022443-36933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022443-55186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022443-36933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022443-69467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022443-11873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022444-98113.png)
(Ⅰ)求△ABC顶点C的轨迹方程;
(Ⅱ) 若斜率为1直线l与动点C的轨迹交于M,N两点,且
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022444-86211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022444-17450.png)
最新试题
- 1已知:△ABC≌△EFG,有∠B=68 °,∠G﹣∠E=56 °,则∠C=( )度.
- 2Sina said she ______ to school the next Sunday. A wouldn’t
- 3小雯同学在“研究定滑轮和动滑轮特点”的实验中,完成了如图所示的实验,并记录了数据(如下表)。通过分析数据,她觉得与书中的
- 4为推动社会主义文化的繁荣与发展,我国高度重视文化典籍的整理工作。这是基于①文化典籍是中华民族文化一脉相传的重要见证②优秀
- 5下列词语中加粗字注音全都正确的一项是[ ]A.河堤(tí)荇( xìng)藻B.蓬蒿(gāo)憔(jiāo)悴C
- 6“When _____ he come?” “I don’t know, but when he _____, I’ll
- 7在下列各组物理量中,全部属于矢量的是( )A.速度、位移、速度的变化B.质量、长度、时间C.位移、速度、加速度D.路程
- 8考查历史遗址是我们学习历史最直观的方法,下面是保留了我国原始社会人类生活的遗址,请说出依据时间先后顺序排列正确的是①山顶
- 9眼下“上班路上刷微博,相互沟通用微信”已成为相当多时尚达人的生活方式。移动互联网发展正在成为个人信息消费的全新载体,拉动
- 10如图所示为寓言故事“龟兔赛跑”的情景,开始时兔子跑在前面,由于兔子中途睡觉,乌龟先到达终点.下列说法正确的是( )A.
热门考点
- 1You will find ______ useful ______ English well. A. it"s; le
- 2小题1:河、渭不足,____________。未至,___________。弃其仗,_____________。小题2:
- 3阅读下面文字,按要求答题。(6分)散文尤如中国文学园地中的一朵奇葩,在几千年的发展中,留下了许多脍炙人口的精典名作,滋养
- 4我国绝大部分领土位于( )A.热带B.北温带C.南温带D.寒带
- 5不定项选择关于电容器和电容,下列说法不正确的是 ( ) A.电容器被充电后两极总是带等量异种电荷 B.电容器的带电
- 6把图中的两个线圈串联起来,使接通电源后,两个线圈互相吸引.
- 7下列气味中不是在个体间起通讯作用的是 [ ]A.老虎在自己的领地周围撒尿留下的气味 B
- 8要客观、全面地了解自己,就要通过他人了解自己。下列哪几句能说明这个道理?[ ]① “不识庐山真面目,只缘身在此山
- 9将下列植物和与之相关的结构特点连线银杏----无根、无茎、无叶水绵----无花、种子裸露桃树----具有茎和叶,根为假根
- 10在下图所示的四个电路图中,哪一个电路图是正确的( )A.图甲所示的B.图乙所示的C.图丙所示的D.图丁所示的