1 . 已知抛物线
上的任意一点到
的距离比到x轴的距离大1.
(1)求抛物线的方程;
(2)若过点
的直线l与抛物线交于A,B两点,过A,B两点分别作抛物线的切线,两条切线交于点Q,求
重心G的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8516f71467b419293fa27df70bdaed74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22840186db0afc0e2b2e8915ce79b998.png)
(1)求抛物线的方程;
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e8c7968d57d2a20065a7cb15c9b4eb.png)
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2 . 如图,过抛物线
的焦点
的直线依次交抛物线及准线于点
,若
且
,则抛物线的方程为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/36a2bc1f-26f6-4eb8-8c27-a649df8afb63.png?resizew=151)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64995f2ad2e91a7590a8dd6a287188d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56bbafa889700c6764ebc7fc1a42cd91.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/36a2bc1f-26f6-4eb8-8c27-a649df8afb63.png?resizew=151)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2022-01-28更新
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842次组卷
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2卷引用:江西省宜春市铜鼓中学2021-2022学年高二下学期第一次月考非实验班数学(文)试题