题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235346-29491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235346-25132.png)
(Ⅰ)求双曲线的方程;
(Ⅱ)若过点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-13771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-56443.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-63377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-56524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-56524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-47567.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235348-80866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-56524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-47567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235348-62523.png)
解析
试题分析:(Ⅰ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235348-19515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235349-94223.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235349-23028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235349-95582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235349-17361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235348-80866.png)
(Ⅱ)由(Ⅰ)知
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235349-20598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235350-30546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235350-82903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235350-37615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235350-75167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235351-97960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235351-32408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235351-66883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235351-37550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235352-76872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235352-19102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235352-51694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235352-69787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-56524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235353-68328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235353-78676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-56524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-47567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235353-45826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235354-84631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235354-98167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235354-60959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235354-88402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-56524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235347-47567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235348-62523.png)
点评:中档题,结合双曲线的几何性质,应用“待定系数法”求得了双曲线标准方程。研究直线与圆锥曲线的位置关系,往往应用韦达定理,通过“整体代换”,简化解题过程,实现解题目的。(II)中根据方程组有解,确定得到直线斜率范围,易于忽视。
核心考点
试题【若直线过双曲线的一个焦点,且与双曲线的一条渐近线平行.(Ⅰ)求双曲线的方程;(Ⅱ)若过点与轴不平行的直线与双曲线相交于不同的两点的垂直平分线为,求直线在轴上截距】;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/20191025/20191025235340-14481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235340-57970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235340-69661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235322-91506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235322-56904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235323-73752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235323-45606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235323-84038.png)
(I)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235322-91506.png)
(Ⅱ)设椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235322-91506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235323-85395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235324-32399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235324-65117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235324-26653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235322-91506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235325-93268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235325-47566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235325-61305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235325-83542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235325-61305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235326-46820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235326-69323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235326-89594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235327-40195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235304-75658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235305-16894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235305-99845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235305-91281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235305-30267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235306-77192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235306-26420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235306-67607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235307-25188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235307-97475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235305-91281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235305-16894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235307-48480.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235307-26946.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235308-83905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235308-19801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235306-77192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235308-92577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235308-59256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235300-36098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235300-70302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235300-10241.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025235255-10371.png)
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