已知橢圓:C
1:
(a>b>0)的右頂點(diǎn)與拋物線C
2:y
2=2px(p>0)的焦點(diǎn)重合,橢圓C
1的離心率為
,過橢圓C
1的右焦點(diǎn)F且垂直于x軸的直線截拋物線所得的弦長為
.
(Ⅰ)求橢圓C
1和拋物線C
2的方程;
(Ⅱ)過點(diǎn)A(-4,0)的直線l與橢圓C
1交于M,N兩點(diǎn),點(diǎn)M關(guān)于x軸的對(duì)稱點(diǎn)為E.當(dāng)直線l繞點(diǎn)A旋轉(zhuǎn)時(shí),直線EN是否經(jīng)過一定點(diǎn)?請(qǐng)判斷并證明你的結(jié)論.