名校
1 . 已知F是双曲线
的左焦点,点A(1,
),P是双曲线右支上的动点,则|PF|+|PA|的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad0c75ce33673ec4c425896e8619e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
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2 . 已知
,
分别为双曲线
的左焦点和右焦点,过点
且斜率为
的直线
与双曲线的右支交于
,
两点,
的内切圆圆心为
,半径为
,
的内切圆圆心为
,半径为
,则直线
的方程为:______ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.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/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/893d4e8d70ea2c716ac7b6c1777a77f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2858005b9ae89ae080d83dcc13cf8e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47444b5fbc4252516d54263062e47c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3e95410f3b4fcb0cba425b521d1f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f64d10dbae406a1a57080860e402b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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3 . 若
是双曲线
的焦点,点
在双曲线上.若点
到焦点
的距离等于9,则点
到焦点
的距离是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a0bd4bd9985f1e367c100b453ed03f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
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2020-06-25更新
|
400次组卷
|
2卷引用:沪教版(上海) 高二第二学期 新高考辅导与训练 第12章 圆锥曲线 本章复习题
4 . 点
是椭圆
与双曲线
的一个交点,且点
与椭圆
两焦点距离之和为
,距离之差的绝对值为
,则
的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9c07f0fe636cb7342bcb07f5e1fe37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d75ebadf7465baea698d1bea638ab12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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2020-06-25更新
|
466次组卷
|
3卷引用:沪教版(上海) 高二第二学期 新高考辅导与训练 第12章 圆锥曲线 阶段训练4
沪教版(上海) 高二第二学期 新高考辅导与训练 第12章 圆锥曲线 阶段训练4(已下线)考点28 双曲线-2021年新高考数学一轮复习考点扫描山东省莱州市第一中学2021-2022学年高二下学期开学考试数学试题
名校
5 . 已知双曲线
的渐近线方程为
,点
是双曲线的左支上异于顶点的一点,
分别为双曲线的左、右焦点,
为
的内心,若
,
,
的面积满足
,则
的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3687ab061b79c48fa421877f487cb902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0f4b0890e4659c9cf8bcbb5dcf9ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9df1061c3ba5151ba2f7359acaf356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0837f5fccc63b02cc191cb3d1c576185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb086d78c571ce5646e609122b674620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ff410a277986fc6045c1cb36f89e34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5959913e46d8c30579e4f91beafdf3dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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解题方法
6 . 双曲线
:
的左、右焦点分别为
、
,过
且斜率为1的直线与双曲线的左右两支分别交于点
、
(
在右侧),若
,则
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb74c0c2d1e5305cf55cfb9605929268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41a99a2034cf37438e8f252a817efa7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fffd834842a7d0457310c4b3f15c42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd970a7373c6a758fac228013876a2c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2020-06-24更新
|
377次组卷
|
3卷引用:湖南省永州市六县2020届高三下学期6月第二次联考数学(理)试题
解题方法
7 . 设F1,F2分别是双曲线
的左、右焦点,若双曲线上存在点P,使∠F1PF2=60°,且|PF1|=2|PF2|,则双曲线的离心率为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a03551e50e875f6033e7168fc6c51f.png)
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2020-06-24更新
|
385次组卷
|
4卷引用:2020届山西省太原市高三下学期模拟 (三)数学(理)试题
解题方法
8 . 设双曲线
的左、右焦点分别为
,过
作
轴的垂线,与双曲线在第一象限的交点为A,点Q坐标为
且满足
,若在双曲线C的右支上存在点P使得
成立,则双曲线的离心率的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c99e4ff3d08b4b64551788b6e699e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c035b08a704bf2688a1f59ff4da62c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dec9ac512838d178a6f86bfc9b72ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52be9efafea0ec08f0f529a8119cafb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de0636df757ee1ab2142e4caa2857c1.png)
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9 . 已知一簇双曲线En:x2﹣y2=(
)2(n∈N*,且n≤2020),设双曲线En的左、右焦点分别为F
、F
,Pn是双曲线En右支上一动点,三角形PnF
的内切圆Gn与x轴切于点An(an,0),则a1+a2+…a2020=_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ea4abec6b42e43545f26e3a8bf6c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5eb60e1c3e15d85d55559ff50b1d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc759bccf86460d25605d627c26317a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe8a7eb11bce1ecafa7cc5dc0f2926f.png)
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2020-06-15更新
|
735次组卷
|
8卷引用:山西省2019-2020学年高三下学期3月适应性调研数学(文)试题
山西省2019-2020学年高三下学期3月适应性调研数学(文)试题山西省2019-2020学年高三下学期3月适应性调研数学(理)试题湖南省长沙市长郡中学2020届高三下学期第一次高考模拟理科数学试题湘豫名校联考2020届高三数学(理科)6月模拟试题(已下线)痛点9 数列的综合问题-2021年新高考数学一轮复习考点扫描四川省成都市简阳市阳安中学2021届高三二模数学(理)试题(已下线)专题7.18 数列与解析几何的综合-2022届高三数学一轮复习精讲精练四川省泸州市泸县第一中学2022届高三高考适应性考试数学(理)试题
10 . 在平面直角坐标系中,
,
,若
,则
点的轨迹方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122cf7a2f27fadf126b282fb1b3e1533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da50ebd2656745259525c8b157e389e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc5d466ad3dfb9eb38c1e2a079c6601c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2020-06-12更新
|
510次组卷
|
2卷引用:上海市虹口区2019-2020学年高二下学期期末数学试题