题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230310-81867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230310-72155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230311-10278.png)
(Ⅰ)求该椭圆的标准方程;
(Ⅱ)射线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230311-55030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230311-58855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230311-76966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230311-76966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230311-21808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230311-21808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230311-76966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230312-13812.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230312-80662.png)
解析
试题分析:(Ⅰ)由题设可得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230312-56069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230312-87139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230312-32883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230312-97913.png)
(Ⅱ)首先求出点M的坐标(这是一个确定的点).过M作两条直线,这两条直线是不定的,是动直线,就用点斜式把这两条直线的方程表示出来,然后分别与椭圆方程联立,可解出A、B两点的坐标,然后用斜率公式求出直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230312-13812.png)
试题解析:(Ⅰ)由准线为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230311-10278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230313-26124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230313-72455.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230312-56069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230313-14416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230312-80662.png)
(Ⅱ)∵斜率k存在,不妨设k>0,求出M(
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230313-99114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230313-74115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230313-77036.png)
分别与椭圆方程联立,可解出
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230314-59234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230314-46046.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230314-18897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230314-27652.png)
核心考点
试题【已知椭圆的中心为原点,长轴长为,一条准线的方程为.(Ⅰ)求该椭圆的标准方程;(Ⅱ)射线与椭圆的交点为,过作倾斜角互补的两条直线,分别与椭圆交于 两点(两点异于)】;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/20191025/20191025230249-76805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230249-23727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230249-21653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230250-60168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230250-21633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230250-73919.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230250-88763.png)
(Ⅱ)设斜率为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230251-87107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230251-65149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230250-88763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230251-45479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230252-22021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230252-69248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230252-79962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230252-36151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230252-79962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230234-35497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230223-66856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230224-11196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230224-91318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230224-38790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230224-80738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230225-84366.png)
A.![]() | B.2 | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230214-81796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230214-54066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230214-66967.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230157-68441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230157-56886.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230158-48918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230158-40152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230158-89089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230158-89089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230158-48918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230158-37484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230158-37484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230159-54470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230159-36002.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230158-89089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230159-11681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230157-56886.png)
(I)求抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230200-92823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230158-89089.png)
( II)已知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230200-18240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230200-15277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230200-92823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230201-83721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230200-15277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230158-48918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230201-54995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230201-49397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230201-44337.png)
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