1 . 如图,椭圆C:
,与两条平行直线
:
,
:
分别交于四点A,B,C,D,且四边形ABCD的面积为
,则直线AD的斜率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07565f10847840e0fb07b05218ad17fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a83b09a1354eb807e38528466ab1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457c50ab68909712412a30cd19d7c01e.png)
![](https://img.xkw.com/dksih/QBM/2020/4/20/2445439580864512/2447861094834176/STEM/1eabed4b87f642d0b1e83ed2853fcdb2.png?resizew=194)
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2 . 已知椭圆C:
过点
,左焦点
(1)求椭圆C的标准方程;
(2)过点F作于x轴不重合的直线l,l与椭圆交于A,B两点,点A在直线
上的投影N与点B的连线交x轴于D点,D点的横坐标
是否为定值?若是,请求出定值;若不是,请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73556d219a9898e00ed62303fc041f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95d725494ad76dc0ef160cf05af0f1d9.png)
(1)求椭圆C的标准方程;
(2)过点F作于x轴不重合的直线l,l与椭圆交于A,B两点,点A在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
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