名校
1 . 在平面直角坐标系中,已知圆
,其中
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2729702b69495b11de6d53e22d346d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
A.圆![]() | B.圆![]() |
C.圆![]() | D.圆![]() |
您最近一年使用:0次
2022-02-25更新
|
1255次组卷
|
3卷引用:湖北省武汉市2022届高三下学期二月调研考试数学试题
名校
解题方法
2 . 已知双曲线的对称中心在直角坐标系的坐标原点,焦点在坐标轴上,双曲线的一条渐近线的方程为
,且双曲线经过点
,过双曲线上的一点P(P在第一象限)作斜率不为
的直线l,l与直线
交于点Q且l与双曲线有且只有一个交点.
(1)求双曲线的标准方程;
(2)以PQ为直径的圆是否经过一个定点?若经过定点,求出定点的坐标;若不经过定点,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc81cfaccc00aa4b7139de5a35a102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ccfd5d01a4ca0cdb90cb9cdd3ad30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72559e4556252e72badf54ac5d808d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求双曲线的标准方程;
(2)以PQ为直径的圆是否经过一个定点?若经过定点,求出定点的坐标;若不经过定点,请说明理由.
您最近一年使用:0次
2022-01-28更新
|
1169次组卷
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3卷引用:湖北省荆州市松滋一中2024届高三上学期12月月考数学试题
湖北省荆州市松滋一中2024届高三上学期12月月考数学试题湖南省岳阳市2022届高三上学期教学质量监测(一)数学试题(已下线)三轮冲刺卷02-【赢在高考·黄金20卷】备战2022年高考数学模拟卷(新高考专用)
3 . 已知常数
,向量
,
,经过点
的直线
以
为方向向量,经过点
的直线
以
为方向向量,其中
.
(1)求点
的轨迹方程,并指出轨迹
.
(2)当
时,点
为轨迹
与
轴正半轴的交点,过点
的直线
与轨迹
交于
、
两点,直线
、
分别与直线
相交于
,
两点,试问:是存在定点
在以
、
为直径的圆上?若存在,求出
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1419108104429f6df5d5352a05211e36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c3efd5b885f83640ca3670b9ca5382.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b6dfe374737d197332277a033701bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ffceeb68630b9e0cd0d2b81edcb0700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0f5d6389672e98b7a226d86706c390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace8302c7c49ff09541dff2c8091fb0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a47bd7e23c16b1edf9baa4a87992252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e87088da41685cc8d433fbbe0e18d6.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27b64e126df013beae692ab751ff0f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58e4369639e4d3fcdd50e0e5983bf0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
您最近一年使用:0次
2024-04-06更新
|
383次组卷
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2卷引用:湖北省云学名校联盟2023-2024学年高二下学期3月联考数学试卷
4 . 圆
恒过的定点为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825164ff990376fa3173685ab9fbf00.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次