1 . 已知点
为抛物线
:
的焦点,点
在抛物线
上,且
.
(1)求抛物线
的方程;
(2)已知点
,过点
的直线交抛物线于
、
两点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921502954d8f4c6e58a95487018a8a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7bf417767442935d2b9e49d18fbea79.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad434a7febc9d1491e73f51b86cd588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/28f6fe7f033e623471c1217652acd042.png)
您最近一年使用:0次
2024-03-01更新
|
784次组卷
|
2卷引用:山西省太原市2023-2024学年高二上学期期末数学试题
2 . 已知圆
的一条直径的两个端点坐标分别为
,
,则圆
的方程是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67fb11a5dc5060d8a57ad9fa942eb982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2024-02-28更新
|
166次组卷
|
2卷引用:山西省太原市2023-2024学年高二上学期期末数学试题
3 . 如图,直线
经过抛物线
:
的焦点
,与抛物线
交于点
,与准线交于点
,且
,则直线
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6d8eaacc2d999b37209feba103f9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0593fe41c9f86258ecc537885c2ec82a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/f72797df-2ea5-47f7-af20-d1f121f4f542.png?resizew=121)
A.![]() | B.2 | C.3 | D.![]() |
您最近一年使用:0次
解题方法
4 . 椭圆
的方程为
,
,
是椭圆的两个焦点,点
为椭圆上一点且在第一象限.若
是等腰三角形,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b939a0c044b842cdc258e516a6d1de.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42fc33bcfc63ec2f4940ccd3f862400.png)
A.![]() | B.![]() |
C.点![]() ![]() ![]() | D.![]() |
您最近一年使用:0次
5 . 已知函数
与
互为反函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d0e12b8d218c074adca8bae8a12874.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d9b6c2e49d3b364792fda2cab1dd48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d0e12b8d218c074adca8bae8a12874.png)
您最近一年使用:0次
解题方法
6 . 如图是函数
的部分图象,则
的解析式为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/a4732e68-cf7b-4b4c-a00f-bc3ee62010f0.png?resizew=178)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/a4732e68-cf7b-4b4c-a00f-bc3ee62010f0.png?resizew=178)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7 . 抛物线
的焦点坐标为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8ccb340f9dafd01836b1460b967d02.png)
您最近一年使用:0次
8 . 已知直线
与双曲线
相交于
两点,且
两点的横坐标之积为
,则该双曲线的焦距为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d585d2d6643471640905d234d9538c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8074822f47553df118dd3c1897d0843e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . (1)求
的值;
(2)已知
,试用
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed09c550db6bedfcb60f6485afe9897.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1442b46dd17e5b19813677b8644654ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f112fec472a1d1c86f6b66da20279b7.png)
您最近一年使用:0次
10 . 当
时,方程
表示的轨迹可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f55b8836b41be612a52ca9caf97006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73ea8fa8770e0086f0983dd9874651e8.png)
A.两条直线 | B.椭圆 | C.圆 | D.双曲线 |
您最近一年使用:0次