1 . 设
为常数,若点
是双曲线
的一个焦点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551b3901b8d96e193947d239eb3b2e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c166717c4f5051b4e3a416d8da12e8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2 . 设
是双曲线
上的动点,则点
到该双曲线两个焦点的距离之差的绝对值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9797634a42031284177e5a6fd5959e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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3 . 已知双曲线
的焦距为
,则双曲线C的渐近线方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309687bd4727a4208f879e6713a056f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
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2023-01-08更新
|
299次组卷
|
2卷引用:吉林省长春市北师大附属学校2021-2022学年高二上学期期末考试数学试题
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4 . 若双曲线
的焦距为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e83a22606794b5b05402e285a795f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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2022-04-21更新
|
214次组卷
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3卷引用:陕西省汉中市2020-2021学年高二下学期期中联考理科数学试题
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5 . 已知双曲线
,F1、F2 分别为它的左、右焦点,P为双曲线上一点,设|PF1|=5,则|PF2|的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58fa4a337f0b81b991fb32e8e6e3c0.png)
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6 . 如下图所示,已知双曲线
的左、右焦点为
、
,点
为双曲线
右支上一点,且
的延长线交
轴于
,且
,则
的内切圆半径为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/295c7df5d5c2c922581e44dd8bb71bda.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83e02c09428538ce8ae136cff26d3f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc808eeea2560dfb612b3c84df79ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8970abd666a2cd47da9ece7576689797.png)
![](https://img.xkw.com/dksih/QBM/2021/12/17/2874427231551488/2875153242767360/STEM/dd5d4657-9b86-4832-8a60-1db228a1243b.png?resizew=204)
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7 . 双曲线
的焦点为
,
为该双曲线上的一点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1deade567d3e63133ab2b9f6090db754.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc06e2c4d7cda745dc978d38f4fd0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5357841daf522e6adcb7e0f9fccedef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1deade567d3e63133ab2b9f6090db754.png)
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21-22高二·全国·课后作业
8 . 已知双曲线
的两个焦点分别为F1,F2,若双曲线上的点P到点F1的距离为12,则点P到点F2的距离为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d49e09b17b19d7c787e95bcf1e9731.png)
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9 . 已知双曲线
的焦点为
,
,过右焦点
的直线交双曲线右支于A、B两点,若
,则
等于___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1653c086d557b1845d82c2d4d8231f8.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/b213d139ab9c3911dad8449ec3c9c272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaff41080fdea43eea7efedf9ebc1498.png)
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2021-11-10更新
|
624次组卷
|
3卷引用:重庆市第八中学2021-2022学年高二上学期半期数学试题
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10 . 双曲线
的右焦点到渐近线的距离为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565bc68d208cd5e0c90a32851faf3814.png)
您最近一年使用:0次
2021-10-14更新
|
817次组卷
|
5卷引用:贵州省贵阳市五校(贵阳民中 贵阳九中 贵州省实验中学 贵阳二中 贵阳八中)2022届高三上学期联合考试(二)数学(文)试题