1 . 已知抛物线C:
(p>0),过C的焦点F的直线
与抛物线交于A、B两点,当
⊥x轴时,|AB|=4.
![](https://img.xkw.com/dksih/QBM/2021/11/2/2842695095574528/2927812091486208/STEM/1f767413c15748769d872c2d4ae759f4.png?resizew=199)
(1)求抛物线C的方程;
(2)如图,过点F的另一条直线
与C交于M、N两点,设
,
的斜率分别为
,
,若
(
),且
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://img.xkw.com/dksih/QBM/2021/11/2/2842695095574528/2927812091486208/STEM/1f767413c15748769d872c2d4ae759f4.png?resizew=199)
(1)求抛物线C的方程;
(2)如图,过点F的另一条直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d200a411fbc2f50ad72f1fd729a7d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e06744e0406608a46242aa6c2b194870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eec363212db572fbb9046aee21b4f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
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2022-03-02更新
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7卷引用:江西省南昌市八一中学2021届高三三模数学(文)试题