名校
解题方法
1 . 已知F为双曲线
的右焦点,M为双曲线C上一点,且
与x轴垂直,点M关于双曲线的渐近线的对称点为N,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4058fc45c49e6710ba7e273cb7888704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a33181b27b10690b4913595f8c1f46e.png)
A.![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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2 . 在直角坐标系
中,直线
的参数方程是
(
为参数).以原点
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)求直线
的普通方程和曲线
的直角坐标方程;
(2)若
为
上的动点,
,求线段
的中点
到直线
的距离的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b8e0bf0aa803f14d6a9a0e745fabc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2b768c1658dca71f27364f5f01d61a.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](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/211036aec28088a219a69d233be901eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2020-07-13更新
|
176次组卷
|
2卷引用:黑龙江省大庆第一中学2020届高三第三次模拟数学(文)试题
名校
解题方法
3 . 已知
为抛物线
的焦点,过
的直线
交抛物线于
两点(点
在第四象限),若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a914673c349b73ce2c595b8971972b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
A.![]() | B.![]() | C.![]() | D.64 |
您最近一年使用:0次
名校
解题方法
4 . 已知
、
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93431162bf08ffe83b4ffddee9b32a8d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-07-07更新
|
406次组卷
|
3卷引用:黑龙江省哈尔滨第三中学2020届高三第五次模拟考试理科数学试题
名校
5 . 双曲线C:
(
,
)的离心率是3,焦点到渐近线的距离为
,则双曲线C的焦距为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
A.3 | B.![]() | C.6 | D.![]() |
您最近一年使用:0次
2020·全国·
名校
6 . 已知椭圆C:
的离心率为
,过椭圆C的左、右焦点
分别作倾斜角为
的直线
,
之间的距离为
.
(1)求椭圆C的标准方程;
(2)若直线l与椭圆C只有一个公共点,求点
到直线l的距离之积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求椭圆C的标准方程;
(2)若直线l与椭圆C只有一个公共点,求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
您最近一年使用:0次
7 . 已知椭圆
的左、右焦点为
,过右焦点的直线
交椭圆于
两点.
(1)设点P到直线
的距离为d,证明:
为定值;
(2)若弦
,求直线
的斜率
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
(1)设点P到直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495bb3e5a3a9d35f5c9f0cf1f5d51876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760bd93d5a6ad75058e8bae95a11069f.png)
(2)若弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2b373517009b1fab04212bc5cf009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
8 . 若
,
,且直线
与圆
相切,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78671e1478b4bf907ba4c96d887d1710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c62a5bc2ddd8b57ed3ab0e3adc507d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-02-29更新
|
699次组卷
|
6卷引用:黑龙江省大庆实验中学2020届高三综合训练(二)数学(理科)试题
2020高一上·全国·专题练习
名校
9 . 过点
,且圆心在直线
上的圆的半径为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f94e98c41ae69cf66323a6c0fa2867c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198423f0798da7ce226576b97a1f289e.png)
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2020-01-03更新
|
896次组卷
|
6卷引用:2019届黑龙江省哈尔滨市第三中学校高三第三次模拟数学(理)试题
名校
10 . 已知椭圆
的左,右焦点分别为
,
,过
作垂直
轴的直线交椭圆
于
两点,点
在
轴上方.若
,
的内切圆的面积为
,则直线
的方程是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f23420529a6a808d22d454e87a6194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5e56b5cbcf69756792fc934bcc20cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0f0174f8ce50f923f591969eae375f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-04-13更新
|
2518次组卷
|
6卷引用:【市级联考】黑龙江省齐齐哈尔市2019届高三第二次模拟考试数学(理)试题
【市级联考】黑龙江省齐齐哈尔市2019届高三第二次模拟考试数学(理)试题(已下线)狂刷43 椭圆-学易试题君之小题狂刷2020年高考数学(理)江苏省南通市2020-2021学年高三上学期9月月考模拟测试数学试题江西省上高二中2020-2021学年高二上学期第一次月考数学(文)试题(已下线)对点练49 直线-2020-2021年新高考高中数学一轮复习对点练(已下线)期中考试重难点专题强化训练(4)——直线与圆锥曲线的综合运用-2021-2022学年高二数学单元卷模拟(易中难)(2019人教A版选择性必修第一册+第二册)