名校
1 . 已知圆
与直线
,下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6748c08abe8147869cf562a5c52fd58b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91218fc9ee9d22dc6348891d04e141d.png)
A.直线![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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2024-01-26更新
|
164次组卷
|
2卷引用:山东省济宁市第一中学2023-2024学年高二上学期质量检测(三)数学试题
名校
2 . 双曲线C:
(
)的左顶点为A,点P,Q均在C上,且关于y轴对称.若直线AP,AQ的斜率之积为
,则C的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-24更新
|
855次组卷
|
4卷引用:山东省枣庄市第三中学2023-2024学年高二上学期12月质量检测数学试题
山东省枣庄市第三中学2023-2024学年高二上学期12月质量检测数学试题安徽省亳州市第十八中学2023-2024学年高二上学期全市统考第一次模拟考试数学试卷江西省赣州市南康中学2024届高三上学期七省联考考前数学猜题卷(三)(已下线)专题18 双曲线的标准方程的求算及重点性质考察(期末选择题18)-2023-2024学年高二数学上学期期末题型秒杀技巧及专项练习(人教A版2019)
3 . 已知圆
:
,直线
,直线
与圆
交于
两点,最短弦长![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b497be7c40c9e8858b40e5f564638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6733f778c1e57e01aabbc98c5ec3e0e6.png)
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
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4 . 直线
被圆
所截得的最短弦长等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837f2f579570bbc17f5060cf51b32fff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e026244935c986ed5908501405f9bf.png)
A.![]() | B.![]() | C.2 | D.14 |
您最近一年使用:0次
5 . 已知圆
,直线
与圆
相交于A,B两点,记弦AB的中点
的轨迹为曲线
.
(1)求
的方程;
(2)已知M,N是
上两点,点
,若四边形OMPN为平行四边形,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf503ae2e1b201b872fef07dd9ff2cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c16bfe15121de6bf908463b7907feabd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知M,N是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383407840c52dc7878e113e3393e9780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac35b1e8a952aac4f4cdaaf02d868d04.png)
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2024-01-18更新
|
145次组卷
|
3卷引用:山东省多校2023-2024学年高二上学期12月联合质量检测数学试题
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解题方法
6 . 已知直线
的方程为
.
(1)证明:不论
为何值,直线
过定点
.
(2)过(1)中点
,且与直线
垂直的直线与两坐标轴的正半轴所围成的三角形的面积最小时,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7035e9b48c99153a786aebce3257dd45.png)
(1)证明:不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过(1)中点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2024-01-17更新
|
590次组卷
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4卷引用:山东省潍坊市临朐县第一中学2023-2024学年高一上学期12月月考数学试题
7 . 抛物线
与直线
交于
两点,且
的中点为
,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d368f3b0aa811473a7b47f725d911b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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8 . 已知点
在圆
:
上,点
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b6d90fcf57ab78f317d5189b606593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29610a3415c1e795d35979a5a9ff69f3.png)
A.点![]() ![]() ![]() |
B.存在2个点![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() |
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2024-01-14更新
|
430次组卷
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2卷引用:山东省济南市莱芜第一中学2023-2024学年高二上学期第三次核心素养测试数学试题
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解题方法
9 . 若直线
:
与
:
平行,则它们之间的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c11eada81d24827f888537282ca422d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1910f935f0eaff22b9f00e284e18ed9a.png)
您最近一年使用:0次
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10 . 已知椭圆
,点
是椭圆上任意一点,则
到直线
的距离最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d2d0eb98a3265ee04d540f3e59909b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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