已知椭圆C1、抛物线C2的焦点均在x轴上,C1的中心和C2的顶点均为原点O,从每条曲线上取两个点,将其坐标记录于下表中:
(Ⅰ)求C1、C2的标准方程;
(Ⅱ)请问是否存在直线l满足条件:①过C2的焦点F;②与C1交不同两点M、N且满足
?若存在,求出直线l的方程;若不存在,说明理由.
0 96883 96891 96897 96901 96907 96909 96913 96919 96921 96927 96933 96937 96939 96943 96949 96951 96957 96961 96963 96967 96969 96973 96975 96977 96978 96979 96981 96982 96983 96985 96987 96991 96993 96997 96999 97003 97009 97011 97017 97021 97023 97027 97033 97039 97041 97047 97051 97053 97059 97063 97069 97077 266669
| x | 3 | -2 | 4 | |
| y | -2 | -4 |
(Ⅱ)请问是否存在直线l满足条件:①过C2的焦点F;②与C1交不同两点M、N且满足