名校
1 . 如图:双曲线
的左、右焦点分别为
,
,过
作直线
交
轴于点
.
平行于
的斜率大于
的渐近线
时,求直线
与
的距离;
(2)当直线
的斜率为
时,在
的右支上是否存在点
,满足
?若存在,求出
点的坐标;若不存在,说明理由;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3d3fefe175906355dda6ce8a0c4bd6.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d13740ec197a8b449614511edde9bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
名校
解题方法
2 . 设双曲线
的左、右顶点分别为
,左、右焦点分别为
,且
的渐近线方程为
.直线
交双曲线
于
两点.
(1)求双曲线
的方程;
(2)若
为线段
的中点,求直线
的方程;
(3)当直线
过点
时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e376a3b0f7a5b2bb85d93be60d424a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dec7f6309562276a49560c17c98dedf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce2830528c2ea6b5d4df0c77644e33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5604d3e156df3e7ccca0ccec9c9d45.png)
您最近一年使用:0次
3 . 已知双曲线
.
(1)求上焦点
的坐标;
(2)若动点
在双曲线的上支上运动,求点
到
的距离的最小值,并求此时
的坐标;
(3)若
为双曲线的上顶点,直线
与双曲线交于C、D两点(异于点
),
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ddacb9233c23d3c83c8d9cff313d669.png)
(1)求上焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
(2)若动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3325d357e4e3a160e6cc357cac2c1543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4147f37263dc5cdebcf9d53b758977dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf6e750ebbb7b47b17d1c4f21be76d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2024-01-20更新
|
248次组卷
|
2卷引用:上海市莘庄中学2023-2024学年高二上学期期末数学试题
2022高三·全国·专题练习
名校
解题方法
4 . 已知双曲线
与圆
交于点
第一象限
,曲线
为
、
上取满足
的部分.
(1)若
,求b的值;
(2)当
,
与x轴交点记作点
、
,P是曲线
上一点,且在第一象限,且
,求
;
(3)过点
斜率为
的直线l与曲线
只有两个交点,记为M、N,用b表示
,并求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e342950546e26f218096ad4bbdcec574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad73cc281d3e4144053ca3fe48d8067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0e8e7032b9407854c056d43679d781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82a5421934348a612982ca099723b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4455cb5ef8fa02f8740a01ea658ed7fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d99b2c3e03a0a978e0538911abfe2e4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781e30964f70270f2cdf5d4c15ec3f1e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526d1c1f892971b9398ba764356dec3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4455cb5ef8fa02f8740a01ea658ed7fb.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/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3cc27780319782f383283a1e9b3bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
(3)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa590cec05ab94e91198a9452572efae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e39f4de2b3e4010a4cfacd1d6342cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297bc912cb09546db07e4fb6be67af40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297bc912cb09546db07e4fb6be67af40.png)
您最近一年使用:0次
2021-09-24更新
|
967次组卷
|
6卷引用:上海市格致中学2023-2024学年高二下学期期中考试数学试题
上海市格致中学2023-2024学年高二下学期期中考试数学试题上海市川沙中学2022-2023学年高二上学期12月月考数学试题(已下线)专题11 圆锥曲线-五年(2017-2021)高考数学真题分项(新高考地区专用)(已下线)第11讲 高考难点突破三:圆锥曲线的综合问题(最值、范围问题) (精讲)(已下线)专题12平面解析几何必考题型分类训练-1(已下线)专题13 圆锥曲线压轴解答题常考套路归类(精讲精练)-1
10-11高三·江西南昌·阶段练习
名校
解题方法
5 . 已知圆
的圆心为
,圆
的圆心为
,一动圆与这两圆都外切.
(1)求动圆圆心
的轨迹方程;
(2)若过点
的直线
与(1)中所求轨迹有两个交点
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d052e7f6a31a150c0a5cffaf6c446ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1a858d5498fe48b5e57bc882797928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)求动圆圆心
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/ec5579140b53a1ca8fed54ab740b335c.png)
您最近一年使用:0次
2016-11-30更新
|
1364次组卷
|
4卷引用:专题11圆锥曲线单元复习与测试(21个考点25种题型)-【寒假自学课】2024年高二数学寒假提升学与练(沪教版2020)
(已下线)专题11圆锥曲线单元复习与测试(21个考点25种题型)-【寒假自学课】2024年高二数学寒假提升学与练(沪教版2020)(已下线)专题09 双曲线(四大核心考点六种题型)-【寒假自学课】2024年高二数学寒假提升学与练(沪教版2020)上海市上海师范大学附属中学2023-2024学年高二上学期期中考试数学试卷(已下线)2011届江西省南昌三中高三第六次月考数学文卷