11-12高三·安徽安庆·阶段练习
名校
1 . 如图,已知椭圆
的上顶点为
,离心率为
,若不过点
的动直线
与椭圆
相交于
、
两点,且
.
(Ⅰ)求椭圆
的方程;
(Ⅱ)求证:直线
过定点,并求出该定点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d3d0f4ab05ea80998c7573c450eca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05aeb6e94d9341d2d94f349f20d12fd.png)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/2012/4/27/1570844862218240/1570844867526656/STEM/fb4a161c0d1d40ab8aaacc72451efab4.png)
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2 . 判断命题“若
且
,则
”是真命题还是假命题,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90121bd6978f1ade74209668d696dbc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f408cc41f0fb88a36d3ac1536b948f4a.png)
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