题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034855-60594.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034856-27868.gif)
⑴求圆C及椭圆C1的方程;
⑵设圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034856-94666.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034856-44968.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034856-20997.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034857-77460.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034857-96986.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034857-61065.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034857-98284.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034858-36589.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034858-86693.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034857-61065.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034858-98492.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034858-27549.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034858-26130.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034859-18401.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034859-59660.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034859-21041.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034859-45175.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034900-28534.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034900-82421.gif)
∴外接圆C以原点O为圆心,线段A1A2为直径,故其方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034858-26130.gif)
∵2a=4,∴a=2.
又
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034856-27868.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034900-60329.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034900-52005.gif)
∴所求椭圆C1的方程是
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034859-18401.gif)
⑵点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034900-32334.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034901-75767.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034857-96986.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034901-29361.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034901-99942.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034901-57215.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034902-54902.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034857-61065.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034902-14761.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034902-24624.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034902-59533.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034902-65355.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034903-42493.gif)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034903-54199.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034903-10324.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034903-53490.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034904-31660.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034904-97311.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034904-14555.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034904-29945.gif)
……12分
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034904-33901.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034905-91249.gif)
综上,直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034857-61065.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034858-98492.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034858-27549.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034859-59660.gif)
核心考点
试题【(本小题满分14分)已知区域的外接圆C与x轴交于点A1、A2,椭圆C1以线段A1A2为长轴,离心率.⑴求圆C及椭圆C1的方程;⑵设圆与轴正半轴交于点D,点为坐标】;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
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034851-74778.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034851-31968.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034851-60169.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034848-86039.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
已知两定点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034839-55520.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034839-14857.gif)
(1)求点P的轨迹及其方程。
(2)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034839-71359.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034840-72201.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034840-25610.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034840-28250.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034828-98258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034828-21971.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034829-15242.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034829-30829.gif)
(2)如果
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034829-35707.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034829-92385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034830-97582.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034823-99181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034823-68780.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034823-23016.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026034823-40345.gif)
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