1 . 已知过点
的直线
与圆
交于
两点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae6b62c3779911fbc432a37781dba00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb278a8366633d8e8b8f5dab1fa1c08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-10更新
|
193次组卷
|
3卷引用:河北省保定市定州市第二中学2023-2024学年高二下学期开学考试数学试题
2 . 在同一直角坐标平面内,已知点
,点P满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de45c6fa52ef78080cf0d8347fb4294d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b768ea6a05cbf45b28fc46c501ba532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9887342de42d75d5028c9caf57650837.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 在直角坐标系
中,曲线
的参数方程是
(
为参数),以坐标原点为极点,
轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求
的普通方程与极坐标方程;
(2)判断
与
的公共点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d8fa99347327243f9f275b763ce159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/552df21d856caacf2792162cfaf0349b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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4 . 平面直角坐标系内,与点
的距离为1且与圆
相切的直线有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9696c1fc5468c9711404f702c2a984.png)
A.4条 | B.3条 | C.2条 | D.0条 |
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5 . 在平面直角坐标系xOy中,曲线
:
(
为参数,
),以坐标原点O为极点,x轴正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)写出
的普通方程与
的直角坐标方程;
(2)若直线l:
与
或
有公共点,求t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba71108ffb26b3000028e5cd1a10b660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/299befdb29f7c57a1b0730631c51f8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63480478b9fa7bf5e3f92b45c1ae189c.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若直线l:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254d0e3be93b3a32e45f3cd1f8c44891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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6 . 已知直线
:
与圆心为
且半径为
的圆相交于
,
两点,直线
:
与圆
交于
,
两点,则四边形
的面积的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcaada7649455fbebcdbdbb9a94e6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73ea45059751d015d3385624bfc62c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b2f80c9d30f80462dcb52def42e8e42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/9c593ebdb2f1934a0cb56f8c44f454f8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-08更新
|
90次组卷
|
2卷引用:四川省成都市石室中学2023-2024学年高一下学期开学考试数学(理科)试卷
名校
解题方法
7 . 求满足下列条件的直线或圆的方程.
(1)求经过点
,且与直线
平行的直线方程;
(2)求经过两条直线
和
的交点,且垂直于
的直线方程;
(3)求半径为
且与直线
相切于点
的圆的方程.
(1)求经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643b31966f52a03f001f2e613cd701dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d3ac21cc8b4044ef139c63a0c7e4c9.png)
(2)求经过两条直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c359c48da965e799b9e230578048f975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9914263ffebdc0aa082603879e8cd847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198423f0798da7ce226576b97a1f289e.png)
(3)求半径为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb73ab4b7d6c79316bc137dd3147c18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb3e0b614f6571ee55c33ac08c9a4a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad42625f296d2a4b65180e2f7b776beb.png)
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8 . 下列结论正确的是( )
A.椭圆![]() ![]() |
B.双曲线![]() ![]() |
C.抛物线![]() ![]() |
D.直线![]() ![]() |
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解题方法
9 . 圆心在直线
上,且经过两圆
和
的交点的圆的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09324568f2f3995b2f932e66ee5926ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b94f3e52a379530e54fa9226a2c9dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb038d84b8c553f00916315279e9102.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次