题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163258-77134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163258-12598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163258-67374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-37870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-53261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-99594.png)
⑴当圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-53261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-28639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163300-28182.png)
⑵当圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-53261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163300-98179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-53261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163300-69135.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163300-92925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163301-73876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163301-40136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163301-28880.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163301-72920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163302-90275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-53261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-28639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163302-37640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163302-45754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163303-38055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163303-23576.png)
(2) 直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163300-98179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163303-69004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163303-84261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163300-98179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163303-84010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163304-11650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163304-15773.png)
解:⑴易得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163304-80373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163304-55050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163305-72322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163301-72920.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163305-62974.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163305-29126.png)
又圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-53261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-28639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163302-37640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163302-45754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163303-38055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163303-23576.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163300-28182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163300-92925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163301-73876.png)
⑵∵直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163300-98179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163303-69004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163303-84261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163300-98179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163303-84010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163304-11650.png)
联立方程组
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163305-21772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163306-40108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163306-31725.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163306-40108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163306-79147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-53261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163301-40136.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163306-31725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163306-67978.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163259-53261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163301-28880.png)
核心考点
试题【如图,已知椭圆的左、右焦点分别为,下顶点为,点是椭圆上任一点,圆是以为直径的圆.⑴当圆的面积为,求所在的直线方程;⑵当圆与直线相切时,求圆的方程;】;主要考察你对椭圆的定义与方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163254-29178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163254-39330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163254-65960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163254-23997.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163241-58715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163241-46469.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163241-56477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-66255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-13417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-64003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-45093.png)
(1)求椭圆的离心率
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-45093.png)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-66255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-46706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-45093.png)
(3)是否存在这样的
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-45093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-13417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-66255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163241-58715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163242-45093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163221-76231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163221-44698.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163221-56496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163221-60281.png)
(1)求椭圆的方程;
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163222-68062.png)
(3)若坐标原点O到直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163222-44667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163222-62854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163222-32352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163214-42567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163215-80539.png)
A. | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163159-69316.png)
(Ⅰ)求椭圆E的方程;
(Ⅱ)设P是椭圆E上一点,过P作两条斜率之积为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023163159-69316.png)
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