题干

已知点A(0,﹣2),椭圆E:
x
2
a
2
+
y
2
b
2
=1(a>b>0)的离心率为
3
2
,F是椭圆的焦点,直线AF的斜率为
2
3
3
,O为坐标原点.

(Ⅰ)求E的方程;
(Ⅱ)设过点A的直线l与E相交于P,Q两点,当△OPQ的面积最大时,求l的方程.
上一题 下一题 0.0难度 选择题 更新时间:2019-12-16 09:09:14

答案(点此获取答案解析)

解:(Ⅰ) 设F(c,0),由条件知
2
c
=
2
3
3
,得

同类题1

阅读《钱塘湖春行》回答下面的问题。

                                                                                                                                 钱塘湖春行

                                                                                                                                唐  白居易

                                                                                                            孤山寺北贾亭西,水面初平云脚低。

                                                                                                           几处早莺争暖树,谁家新燕啄春泥。

                                                                                                           乱花渐欲迷人眼,浅草才能没马蹄。

                                                                                                           最爱湖东行不足,绿杨阴里白沙堤。