名校
解题方法
1 . 在平面直角坐标系
中,
,
分别是双曲线
:
的左,右焦点,设点
是
的右支上一点,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad0c75ce33673ec4c425896e8619e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c465763b60ec542adce65c94b0e31cf.png)
您最近一年使用:0次
7日内更新
|
245次组卷
|
3卷引用:黑龙江省哈尔滨市第二十四中学校2024届高三下学期第三次模拟测试数学试题
名校
解题方法
2 . 设双曲线C:
的左焦点和右焦点分别是
,
,点P是C右支上的一点,则
的最小值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543f9612cd8051b1f145608f08474038.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/1024deca733cc89c9ced333673c14668.png)
您最近一年使用:0次
名校
解题方法
3 . 设O为坐标原点,双曲线
的左焦点为F,过F的直线与
的左、右两支分别交于P,Q两点,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26f0f2829176065c59e100896034cd0.png)
,则C的渐近线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26f0f2829176065c59e100896034cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0468237bbc0d3df77435d98b817c10c0.png)
您最近一年使用:0次
2024-06-11更新
|
55次组卷
|
2卷引用:黑龙江省双鸭山市第一中学2024届高三下学期第五次模拟考试数学试卷
解题方法
4 . 已知双曲线
的离心率为
,其左、右焦点分别为
,过
作
的一条渐近线的垂线并交
于
两点,若
,则
的周长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/044468f3733869bd186eb663ff0bb371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41aabdb86b2aa8fc6fa1475184cd044b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/656690e5d6fe1b44a4983086229f34ae.png)
您最近一年使用:0次
2024-03-21更新
|
427次组卷
|
2卷引用:黑龙江省双鸭山市第三十一中学等校2024届高三第二次模拟数学试题
名校
解题方法
5 . 已知双曲线
的左,右焦点分别为
为
右支上一点,
的内切圆圆心为
,直线
交
轴于点
,则双曲线的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ed463bf16c78a4bbb9d3acff922afa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451261a82e8ff001010d9d4db535f4c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f19b2e24f09d24daf3b3b41a8246d292.png)
您最近一年使用:0次
2024-01-29更新
|
2427次组卷
|
4卷引用:黑龙江省大庆市实验中学实验二部2023-2024学年高三下学期得分训练(三)数学试卷
解题方法
6 . 已知
是双曲线
的左,右焦点,
的一条渐近线
的方程为
,且
到
的距离为3,
为
的第一象限上的一点,点
的坐标为
为
的平分线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204196267ea8c9ec2544b3084d7952da.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86bebdf5931efbdc627baa52f97392e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64dfdc4da53a7913b01647d751c77c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204196267ea8c9ec2544b3084d7952da.png)
您最近一年使用:0次
名校
解题方法
7 . 已知双曲线
:
的左、右焦点分别为
,
,若
上存在点
,满足
(
为坐标原点),且
的内切圆的半径等于
,则双曲线
的离心率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0249b5a1c87abaa38db1139d129140ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/878e89b6eca35e34c863e832a2c661db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
您最近一年使用:0次
2023-05-18更新
|
357次组卷
|
2卷引用:黑龙江省齐齐哈尔市实验中学2023届高三三模数学试题
名校
解题方法
8 . 如图,过双曲线
的左焦点
引圆
的切线,切点为
,延长
交双曲线右支于
点,
为线段
的中点,
为坐标原点,若
,则双曲线的离心率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e29a410aac7c18ed31fdf8dc9be9d7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4be819fc47b2aa19ab2022b3dfeb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ffda0c209f06e21770aeab0abc8cbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c2293f93791a597bf0162411f3395f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f378f750a60294e599d6f8b48caaa614.png)
您最近一年使用:0次
2023-09-26更新
|
1594次组卷
|
7卷引用:黑龙江省鹤岗市第三中学2023-2024学年高二上学期10月月考数学试题
名校
解题方法
9 . 如图,唐金筐宝钿团花纹金杯出土于西安,这件金杯整体造型具有玲珑剔透之美,充分体现唐代金银器制作的高超技艺,是唐代金银细工的典范之作.该杯主体部分的轴截面可以近似看作双曲线
的一部分,设该双曲线
的方程为
,右焦点为
,过点
的直线
与双曲线
的右支交于
两点,且
,点
关于原点
的对称点为点
,若
,则双曲线
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27379d8618534d748b9f685a65dca15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2132754d06905ed129c54a2a9e7431c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/26/0744b5c1-4877-49c2-b67d-fefe61e42bcf.png?resizew=299)
您最近一年使用:0次
2023-04-24更新
|
576次组卷
|
4卷引用:黑龙江省双鸭山市饶河县2022-2023学年高二下学期期中数学试题
名校
10 . 已知双曲线
的左、右焦点分别为
、
,离心率为
,点
是双曲线上的任意一点,满足
,
的平分线与
相交于点
,则
分
所得的两个三角形的面积之比![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b16ae52d3ff5956b39ffbd06e747a94.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.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/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288060bacca802a86ff209ddfd412e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23a5326587f73957e7a887fbc1a2ea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b283e4d7375d770823775e4036c9f6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b16ae52d3ff5956b39ffbd06e747a94.png)
您最近一年使用:0次
2023-04-14更新
|
772次组卷
|
5卷引用:黑龙江省实验中学2023届高三第二次模拟考试数学试卷
黑龙江省实验中学2023届高三第二次模拟考试数学试卷湖南省张家界市慈利县第一中学2022-2023学年高二下学期期中数学试题江苏省南京航空航天大学附属高级中学2023届高三四模数学试题福建省泉州实验中学2024届高三上学期10月月考数学试题(已下线)专题17 圆锥曲线常考压轴小题全归类(16大题型)(练习)