1 . 如图,曲线
是以原点
为中心,
、
为焦点的椭圆的一部分,曲线
是以
为顶点、
为焦点的抛物线的一部分,
是曲线
和
的一个交点,且
为钝角,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/b2180212-f587-46db-a270-5c682a653b7c.png?resizew=165)
(1)求曲线
和
所在椭圆和抛物线的方程;
(2)过
作一条与
轴不垂直的直线,分别和曲线
和
交于
、
、
、
四点,若
为
的中点,
为
的中点,
是否为定值?若是,请求出此定值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6aed841835686697e79d1a63d15801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2171474a6b2d0190ab020239f3a34ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/574720fedc4e3dd05b6c7b0f32c90267.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/b2180212-f587-46db-a270-5c682a653b7c.png?resizew=165)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f206e038a6ced3ebf5bd30254118299.png)
您最近一年使用:0次
2022-11-10更新
|
702次组卷
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6卷引用:福建省建瓯市芝华中学2023-2024学年高二上学期期中考试数学试题
2 . 已知抛物线C:y2=2px(p>0)的焦点为F,点M(2,m)为其上一点,且|MF|=4.
![](https://img.xkw.com/dksih/QBM/2020/11/26/2600837427388416/2603239510343680/STEM/4b264d64b5fa49ffae50838bc6e03b0e.png?resizew=186)
(1)求p与m的值;
(2)如图,过点F作直线l交抛物线于A、B两点,求直线OA、OB的斜率之积.
![](https://img.xkw.com/dksih/QBM/2020/11/26/2600837427388416/2603239510343680/STEM/4b264d64b5fa49ffae50838bc6e03b0e.png?resizew=186)
(1)求p与m的值;
(2)如图,过点F作直线l交抛物线于A、B两点,求直线OA、OB的斜率之积.
您最近一年使用:0次
2020-11-29更新
|
2047次组卷
|
9卷引用:福建省建瓯市芝华中学2022-2023学年高二上学期期中考试数学试题
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