2022高三·全国·专题练习
名校
解题方法
1 . 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)
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2021-09-24更新
|
966次组卷
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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(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13 圆锥曲线压轴解答题常考套路归类(精讲精练)-1
2021·全国·模拟预测
2 . 已知
为坐标原点,双曲线
:
的右焦点为
,直线
过点
且与
的右支交于
,
两点,若
,
,则直线
的斜率
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c477e5ade921ffa8377c4719319380ff.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a825695fb8b88b725be01b6181a61fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692502d9aa75b7159c2ce970ca65b2fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-05-18更新
|
309次组卷
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5卷引用:专题3.2 双曲线(5个考点十大题型)(3)
(已下线)专题3.2 双曲线(5个考点十大题型)(3)(已下线)2021年高考最后一卷理科数学(第一模拟)四川省眉山市2022-2023学年高二上学期期末教学质量检测数学(文)试题四川省眉山市2022-2023学年高二上学期期末教学质量检测理科数学试题四川省眉山市2022-2023学年高二上学期期末数学(理)试题
名校
3 . 已知抛物线
与双曲线
有共同的焦点
,
为坐标原点,
在
轴上方且在双曲线上,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd504fe4ba548292789a48c061a562f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2766e9912b432afe598f73d5bc16a8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b2bfb98862f33b23a35e24216e6f47.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 设经过点M(2,1)的等轴双曲线的左、右焦点分别为F1,F2,若此双曲线上的一点N满足
,则△NF1F2的面积为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b9246af9a4775bbfb3bcf366e536fc6.png)
您最近一年使用:0次
2018-10-03更新
|
928次组卷
|
6卷引用:山东省青岛第十五中学2023-2024学年高二下学期期初质量检测试卷
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)
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2016-11-30更新
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1364次组卷
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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)(已下线)2011届江西省南昌三中高三第六次月考数学文卷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