题目
题型:不详难度:来源:
已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012033-83507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012033-11760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012033-29491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012034-90728.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012034-67321.png)
(Ⅱ)已知动直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012034-69499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012034-67321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012034-39450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012035-70305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012035-75685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012035-40010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012035-28510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012035-21407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012036-69557.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012036-70087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012036-56352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012036-34731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012037-28350.png)
解析
试题分析:(Ⅰ)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012033-11760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012037-65317.png)
。解得
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012037-15358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012036-70087.png)
(Ⅱ)(1)将
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012034-69499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012036-70087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012037-76865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012037-64509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012038-54559.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012035-75685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012035-40010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012038-10160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012036-56352.png)
(2)由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012038-54559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012038-92777.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012038-74794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012039-52738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012039-85209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012039-79244.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012037-28350.png)
点评:圆锥曲线是历年高考中比较常见的压轴题之一,近年高考中其解答难度有逐渐降低的趋势,通过解析几何的自身特点,结合相应的数学知识,比如不等式、数列、函数、向量、导数等加以综合。这就要求在分析、解决问题时要充分利用数形结合、设而不求法、弦长公式及韦达定理综合思考,重视函数与方程思想、数形结合思想、对称思想、等价转化思想的应用。
核心考点
试题【(本小题满分13分)已知椭圆的离心率为,椭圆短轴长为. (Ⅰ)求椭圆的方程;(Ⅱ)已知动直线与椭圆相交于、两点. ①若线段中点的横坐标为,求斜率的值;②若点,求】;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/20191026/20191026012028-41654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012028-30517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012029-43612.png)
A.![]() | B.![]() | C.![]() | D.2 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012020-97985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012021-32684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012021-69997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012021-86434.png)
A.(-2,-9) | B.(0,-5) | C.(2,-9) | D.(1,-6) |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012011-55371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012011-73212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012011-55371.png)
(1)求动点C的轨迹方程;
(2)斜率为2的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012011-15689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012012-22044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012004-38957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012004-15026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012005-91606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012005-60150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012005-80253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012005-28880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012005-72137.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011959-11821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011959-48903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011959-89604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011959-10519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011959-48903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011959-89604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011959-11821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011959-48903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011959-27904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026011959-48903.png)
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