2024·全国·模拟预测
名校
解题方法
1 . 若函数
,点
是曲线
上任意一点,则点
到直线
的距离的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5c55eb5445b1d29f714a02a28e5380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6834ba6de422d87eedd475e419af10fd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-06更新
|
375次组卷
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3卷引用:安徽省六安第一中学2024届高三下学期质量检测(三 )数学试卷
2 . 已知直线
与圆
相切,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be641602ade6367bdfb8c52cb4f22a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.2 | B.![]() | C.4 | D.![]() |
您最近一年使用:0次
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3 . 已知直线
与双曲线
的一条渐近线平行,则
的右焦点到直线
的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1552567874ef64c262c5bb4017e122d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19422aafb85bec424449c7bab7f7908c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.2 | B.![]() | C.![]() | D.4 |
您最近一年使用:0次
2024-04-18更新
|
1477次组卷
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4卷引用:安徽省六安第一中学2024届高三适应性考试数学试题
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4 . 已知点
和直线
,点
是点
关于直线
的对称点.
(1)求点
的坐标;
(2)
为坐标原点,且点
满足
.若点
的轨迹与直线
有公共点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a23e87d16c32b5aa4357f481b5808a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34801f6a91fcd4d9ec73cecf21e3504c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3361eae6ffd24142f2e935dda5f552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb718f1c0f7019503b92e11e92ec4c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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5 . 若直线
把单位圆
分成长度为
的两段圆弧,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ebce8b2a915356ed39f36c5bad2ebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d65e051e943ab28fa57aee2fb57994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 圆
与圆N关于直线
对称,则圆
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d43fd5a52471223c28aa13dd6cd8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42498f6e0fc9a61c9857b70a87f02c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知直线
,
,则直线
,
之间距离的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11597efacecb5d9017da39f77406b7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648756617ce82fc420e9cbe0b427fa1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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解题方法
8 . 以两条直线
的交点为圆心,并且与直线
相切的圆的方程是_____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced2fbf08310eee95c31a0891b23b8ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274641ca2216d05465dada099ef933e0.png)
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解题方法
9 . 求过两条直线
与
的交点,且分别满足下列条件的直线方程.
(1)过点
;
(2)平行于直线
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/650353eda77d014bb42d185bd967e549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a1bac41c8df6277a85c80a52ec73150.png)
(1)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c7f6a03826a5ad351c1f7ca553a6945.png)
(2)平行于直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8038c0ae808b69f521da27ed96557a.png)
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10 . 已知直线
与圆
相交于A,B两点.
(1)若P为圆C上一点,求点P到直线l的最大距离;
(2)求弦
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe3a6af5ff05f47177068eae08ad227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445d81becf13dee7a0467728c2d5062b.png)
(1)若P为圆C上一点,求点P到直线l的最大距离;
(2)求弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2024-02-12更新
|
270次组卷
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3卷引用:安徽省六安市田家炳实验中学2023-2024学年高二下学期开学测试数学试题