题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021214-89690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021214-26012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-49250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021214-89690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-59601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-36923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-62487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-68485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021214-89690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-71315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-54052.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021214-89690.png)
(Ⅱ)求证:直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-31806.png)
(Ⅲ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-86489.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021214-89690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-25547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-91663.png)
由题意
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-37335.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-90811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-53212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021214-89690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-99171.png)
(Ⅱ)由题意知,两直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-88071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-89666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-89666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-50276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-89666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-16798.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-21620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-75538.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-33744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-97984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-88049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-33108.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-98946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-50192.png)
所以直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-19630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021218-82431.png)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-19630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021218-39882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021218-35642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021218-31682.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021218-89484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021219-62566.png)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021219-84169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021219-57969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-59601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-19630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021219-33882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021220-38222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021220-79776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021220-20371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021220-53769.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021220-71440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021221-47707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021221-44580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021221-24652.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021221-46879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021221-32652.png)
(2)先设直线PB的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-16798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021222-14319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021222-87155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021222-39450.png)
(III) 设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021217-19630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021218-39882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-86489.png)
(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021216-99171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021218-82431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021215-86489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021221-24652.png)
核心考点
试题【已知椭圆的中心在原点,一个焦点,且长轴长与短轴长的比是.若椭圆在第一象限的一点的横坐标为1,过点作倾斜角互补的两条不同的直线,分别交椭圆于另外两点,.(Ⅰ)求椭】;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/20191026/20191026021205-99198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021205-21467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021149-42951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021149-42951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021150-63342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021150-61069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021150-58420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021150-80949.png)
(I)求动点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021150-58420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021150-98590.png)
(II)设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021151-68791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021151-86103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021151-58185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021150-98590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021150-58420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021151-64969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021152-81596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021145-73437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021146-57838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021146-98621.png)
(1)求曲线D的方程:
(2)圆心E在y轴上的圆与直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021146-57838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021130-67235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021130-16111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021131-48937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021131-60823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021131-95395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021131-45430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021131-65818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021131-95395.png)
(1)求动点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021131-65818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021132-97033.png)
(2)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021132-57759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021132-12295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021132-80640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021132-12295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021132-97033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021133-85501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021133-42797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021133-81698.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021133-63598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021133-88709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021134-11696.png)
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