名校
解题方法
1 . 下列说法正确的是( )
A.直线![]() ![]() |
B.存在![]() ![]() ![]() |
C.对于任意![]() ![]() ![]() |
D.若直线![]() ![]() |
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2022-11-28更新
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5卷引用:湖南省岳阳市岳阳县第一中学2022-2023学年高三下学期入学考试数学试题
湖南省岳阳市岳阳县第一中学2022-2023学年高三下学期入学考试数学试题浙江省2023届高三数学原创预测卷一(全国1卷)江苏省苏州外国语学校2022-2023学年高三上学期第二次阶段测试数学试题(已下线)模块六 平面解析几何-1(已下线)专题19 圆的方程-3
名校
解题方法
2 . 如图1,直线
与x轴,y轴分别相交于A,B两点,将
绕点O逆时针旋转90°得到
,过点A,B,D的抛物线
叫做l的关联抛物线,而直线l叫做
的关联直线.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/ef9d3ce4-d4b1-4552-a814-082583273cf8.png?resizew=458)
(1)若直线
,则抛物线
表示的函数解析式为________;若抛物线
,则直线l表示的函数解析式为______.
(2)求抛物线
的对称轴(用含m,n的代数式表示);
(3)如图2,若直线
,抛物线
的对称轴与
相交于点E,点F在l上,点Q在抛物线
的对称轴上.当以点C,E,Q,F为顶点的四边形是以
为一边的平行四边形时,求点Q的坐标;
(4)如图3,若直线
,G为
中点,H为
中点,连接
,M为
中点,连接
.若
,求直线l,抛物线
表示的函数解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a88699a9cab3fb5e061e722d1f60a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a9a6eeeebf3cff569578d7366b755aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c27eda162792128da25f541303a3088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c27eda162792128da25f541303a3088.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/ef9d3ce4-d4b1-4552-a814-082583273cf8.png?resizew=458)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90717234dbf965e8cb5f8fe2e53776da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c27eda162792128da25f541303a3088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef60818f89bebb4ed87db774a5149fd9.png)
(2)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c27eda162792128da25f541303a3088.png)
(3)如图2,若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ec899da04f19dca04bba10ffc4358a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c27eda162792128da25f541303a3088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c27eda162792128da25f541303a3088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
(4)如图3,若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a163a3df8d98950645d7a249141b679d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc91a53e2534ce7034372b0add103eac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c27eda162792128da25f541303a3088.png)
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