1 . 设
分别为双曲线
的左、右顶点,
是双曲线
上关于
轴对称的不同两点,设直线
的斜率分别为
,若
,则双曲线
的离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bea7640e85d4f34fd353f159c8551542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ddfa25e097562b856ddd5e7c0758ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f1fdbad317df15d8e41eff4009f9d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
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2 . 抛物线
的焦点为
,过
上一点
作
的准线
的垂线,垂足为
,若直线
的斜率为-2,则
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ba86ffc6e5542b62319848c14acaa.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/dad2a36927223bd70f426ba06aea4b45.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9374cdec65a41dc616f6f099551880d6.png)
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3 . 设
,
是椭圆
的两个焦点,
为椭圆
上的点,以
为直径的圆经过
,若
,则椭圆
的离心率为_________
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43adeb63d67d055ec4be4f22a698cdc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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解题方法
4 . 已知双曲线
:
的左、右焦点分别为
,
,设过
的直线
与
的右支相交于
,
两点,且
,
,则双曲线
的离心率是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.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/c5db41a1f31d6baee7c69990811edb9f.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/fd682fa1950c2675f93146cabd0633ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fbabf8abcfa336cf73304f7565896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2023-03-19更新
|
346次组卷
|
11卷引用:云南省水富市云天化中学2020-2021学年高二上学期期末数学(文)试题
云南省水富市云天化中学2020-2021学年高二上学期期末数学(文)试题云南省水富市云天化中学2020-2021学年高二上学期期末考试数学(理)试题(已下线)黄金卷01-【赢在高考·黄金20卷】备战2021高考数学全真模拟卷(新高考专用)(已下线)必刷卷04-2021年高考数学(理)考前信息必刷卷(新课标卷)(已下线)必刷卷02-2021年高考数学(文)考前信息必刷卷(新课标卷)贵州省瓮安中学高三2021届6月关门考试数学(理)试题苏教版(2019) 选修第一册 选填专练 第3章 微专题四 高考中离心率问题江西省景德镇一中2020-2021学年高二(2班)上学期期中考试数学试题河北省正定中学2021届高三上学期第四次月考数学试题重庆市凤鸣山中学2023届高三下学期第一次月考数学试题新疆维吾尔自治区伊犁哈萨克自治州霍尔果斯市苏港中学2022-2023学年高二下学期期中数学试题
5 . 直线
与抛物线
交于A,B两点,设抛物线C的焦点是F,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be77ec1a6509ec69b94af7c7b0cbc97b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ba86ffc6e5542b62319848c14acaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e6e62b93b24d060c61cbb2d9d0e908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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解题方法
6 . 抛物线
的焦点为
,其准线与
轴交于点
,如果在直线
上存在点
,使得
,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8a3365e99f926b1dafa901ab232152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3251ed32652cda5688e78c12d35b1380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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7 . 设
是圆
:
上一点,则圆
在
处的切线方程为
,由此类比可得到的正确结论是:设
是椭圆
:
上一点,则椭圆
在
处的切线方程为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf0d139c9810361b4971904a943856b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4896f254406ddfe0744b63f10724e76a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d340bd3f078b9261238d4fe59f1473c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf0d139c9810361b4971904a943856b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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解题方法
8 . 已知实数
成等比数列,则双曲线
的渐近线方程为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae943bf2a5cc957792a8d02cdf76efed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfda0696f276fff4177533f8c63e349.png)
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2022高三·全国·专题练习
名校
解题方法
9 . 已知F1,F2为双曲线C:x2-y2=2的左、右焦点,点P在C上,∠F1PF2=60°,则△F1PF2的面积为______ .
您最近一年使用:0次
2021-11-16更新
|
1420次组卷
|
6卷引用:云南省弥勒市第一中学2021-2022学年高二上学期第三次月考数学试题
云南省弥勒市第一中学2021-2022学年高二上学期第三次月考数学试题(已下线)专题29 双曲线-2022年高三毕业班数学常考点归纳与变式演练(理科专用)(已下线)专题9.8 《平面解析几何》单元测试卷 2022年高考数学一轮复习讲练测(新教材新高考)(已下线)第30节 双曲线(已下线)第六节 双曲线 第一课时 双曲线的定义、方程与性质 讲陕西省宝鸡市凤翔区凤翔中学2023-2024学年高二下学期第一次质量检测数学试卷
2022高三·全国·专题练习
10 . 已知抛物线y=
x2的焦点为F,准线为l,M在l上,线段MF与抛物线交于N点,若|MN|=
|NF|,则|MF|=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
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