题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225656-67845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225657-75158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225657-22977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225657-53193.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225657-56576.png)
(2)若存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225658-64421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225658-50222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225657-56576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225658-92518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225657-22977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225658-21340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225658-13306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225659-28877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225659-99178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225657-22977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225659-33325.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225659-23277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225700-45934.png)
解析
试题分析:(1)圆的圆心已知,可求出椭圆方程中的
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225700-73034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225700-28214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225700-37712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225701-84902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225701-51240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225701-59987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225701-29682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225701-34467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225659-99178.png)
试题解析:(1)设椭圆的焦距为2c,因为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225702-49488.png)
所以椭圆的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225659-23277.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225702-74244.png)
联立方程得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225702-62769.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225702-12540.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225702-98859.png)
又点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225703-55400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225658-50222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225703-70815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225703-62684.png)
显然,若点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225703-23246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225659-28877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225704-45973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225659-99178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225704-75661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225704-66439.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225704-92550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225705-40083.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225705-16662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225705-85069.png)
又显然
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225705-51423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225706-19968.png)
综上,圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225657-22977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225659-33325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225700-45934.png)
核心考点
试题【已知圆,若椭圆的右顶点为圆的圆心,离心率为.(1)求椭圆的方程;(2)若存在直线,使得直线与椭圆分别交于两点,与圆分别交于两点,点在线段上,且,求圆的半径的取值】;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/20191025/20191025225643-80574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225643-52110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225644-55625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225644-60026.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225644-48991.png)
(Ⅱ)已知动直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225644-97565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225644-48991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225645-84004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225645-85999.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225645-57311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225645-87118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225645-61437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225646-80288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225646-23436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225634-58293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225635-94242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225635-86583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225635-49505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225635-90651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225635-26512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225636-17753.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225618-46843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225618-66551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225618-28927.jpg)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225618-18373.png)
(Ⅱ)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225618-60120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225619-18864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225619-89163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225619-32043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225619-32575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225620-99556.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225620-94627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225620-18839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225620-40945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225619-18864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225608-24823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225609-73036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225609-11099.png)
(Ⅰ)求矩阵
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225609-42945.png)
(Ⅱ)求矩阵
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225609-42945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225554-66675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225554-25195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225554-46658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225554-25195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225554-37173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225555-92969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225555-93154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225555-33160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225555-44871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225556-76270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225556-31796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225556-69373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225556-56807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225557-48622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225557-69876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225557-88836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225557-20073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225557-89190.jpg)
(1)以
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225558-75904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225558-70263.png)
(2)根据条件可判定点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225557-20073.png)
(3)设线段
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225555-33160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225558-76855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225558-13924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225559-45342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225556-76270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225558-76855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225559-92910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225559-97120.png)
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