题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032827-34101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032827-80194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032828-60509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032828-12136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032828-77112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032828-75519.png)
(Ⅰ)求此双曲线的方程;
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032828-69017.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032828-92270.png)
解析
试题分析:(Ⅰ)由题设,
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032828-71349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032828-35971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032829-58488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032829-72961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032829-14137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032829-92762.png)
所求双曲线的方程是
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032828-92270.png)
(Ⅱ)由(Ⅰ)得:
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032829-66389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032829-39878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032829-16824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032830-68376.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032830-94397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032830-77482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032830-22140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032830-57255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032831-86325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032831-38975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032831-49888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032831-34827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032831-26647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032832-56442.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032832-17316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032832-89049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032832-66877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032833-41417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032833-69243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032833-27386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032833-43554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032834-46356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032834-92906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032834-12571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032834-38627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032828-69017.png)
点评:对于直线与圆锥曲线的综合问题,往往要联立方程,同时结合一元二次方程根与系数的关系进行求解;而对于最值问题,则可将该表达式用直线斜率k表示,然后根据题意将其进行化简结合表达式的形式选取最值的计算方式
核心考点
试题【已知双曲线的右顶点为A,右焦点为F,右准线与轴交于点B,且与一条渐近线交于点C,点O为坐标原点,,,过点F的直线与双曲线右支交于点.(Ⅰ)求此双曲线的方程;(Ⅱ】;主要考察你对双曲线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/20191024/20191024032822-27789.png)
A.![]() | B.5 | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032814-28686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032815-50339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032815-38411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032815-38029.png)
A.2 B.3 C.
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032815-73751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032815-35066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032808-52990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032808-30097.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032801-72632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032802-26199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032802-79497.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024032758-21647.png)
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