名校
1 . 已知椭圆
的右焦点是抛物线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff739204ba760216f82a5802e92cb244.png)
的焦点,直线
与
相交于不同的两点
.
(1)求
的方程;
(2)若直线
经过点
,求
的面积的最小值(
为坐标原点);
(3)已知点
,直线
经过点
,
为线段
的中点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39c1cf47bf88d8b4ba8f7879fb942a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff739204ba760216f82a5802e92cb244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1917c490df6cf64f01105fca62ceb8eb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c386efbf65e3e26bcd83b68aa97d04fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c986804bf3015303e0dc22ce77e3acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffee0e2f990224ad472c705b2076ba70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bf554d005d0858f819d383d7e7802f.png)
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2020-01-07更新
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702次组卷
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