1 . 已知抛物线
,点
为其焦点,直线
与抛物线交于
两点,
为坐标原点,
.
(1)求抛物线
的方程;
(2)过
轴上一动点
作互相垂直的两条直线,与抛物线
分别相交于点
和
,点
分别为
的中点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/430cd4dfec1c0932fe44320a3ef85171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495bb3e5a3a9d35f5c9f0cf1f5d51876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896b13427349606f414f3dad6fb8e5c9.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faa87c99a5377679064bbea75d77aaad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f48b13302f60a4e02d6cb2b396480f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b02a21a663e947246f758b4ad8a2ee.png)
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2023-07-24更新
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6卷引用:海南华侨中学2023届高三模拟(二)数学试题
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