名校
解题方法
1 . 如图,
,
分别为双曲线
:
(a,
)的左、右焦点,过点
作直线l,使直线l与圆
相切于点P,设直线l交双曲线
的左右两支分别于A、B两点(A、B位于线段
上),若
且
,则双曲线
的离心率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/8578d726-fed2-484c-a542-5f18dee80148.png?resizew=222)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5076829e649b3f3866d4a7e07a5713e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697c20fca284394bf5d5b9e5f6d952e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1449ec1ed2899cd87c2bc50db8eaf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da01a3abe1c9dc4e6283afa0dc1a0d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f97c18140360ba9acf195e2413fe01ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5bbe182b58bf5bf4a1c458ca4e61010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/8578d726-fed2-484c-a542-5f18dee80148.png?resizew=222)
A.![]() | B.![]() | C.![]() | D.4 |
您最近一年使用:0次
2020-05-31更新
|
374次组卷
|
2卷引用:江西省八所重点中学2019-2020学年高三5月联考理科数学试题
解题方法
2 . 已知双曲线
的左、右焦点分别是
,
为双曲线左支上任一点,当
最大值为
时,该双曲线的离心率的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66dca86d49c8fd55b493c27be6986df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f718d4bb76291fc2ce0ddb493fa93f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd5daa9a0b9a14a4a44b02bae65b586.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 已知双曲线
:
的左右焦点分别为
、
,且抛物线
:
的焦点与双曲线
的右焦点
重合,点
为
与
的一个交点,且直线
的倾斜角为45°则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0fb3b515a06d8567d095221aa5dd025.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/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-05-25更新
|
1010次组卷
|
5卷引用:2020届安徽省淮北市高三下学期第二次模拟理科数学试题
名校
4 . 设双曲线
的左,右焦点分别为
,
,过
的直线分别交双曲线的左,右两支于点
.若
,且
,则实数
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85d02822aed80dc070e71f496310bd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977170b4723e161faa0ab7762765c2a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
5 . 点
是曲线
上的任意一点,
,
,射线
交曲线
于
点,
垂直于直线
,垂足为点
.则下列结论:(1)
为定值
;(2)
为定值5;(3)
为定值
.其中正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f760aa2cdb022a3c0d99be6a0fe4ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0af1a9647a129a692715564967a8ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b378e03d75c73c8ca71f991a8c07729a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf25e032b5599ac49383de06e776365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce21531a886c50568b75fd4278f15dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca909e0bfdc0a931b1969115e5c524a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb18ca54d4b25ddae3a613d91b20d551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7392d75808de1b957df40215a6d7b7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c924a6237658223b3ac69f1c40de7549.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/55e21124-a609-4059-aeda-ab06271f0b37.png?resizew=216)
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2020-05-21更新
|
310次组卷
|
2卷引用:2020届上海市黄浦区高三二模(阶段性调研)数学试题
6 . 设
是双曲线
上一点,双曲线的一条渐近线方程为
、
分别是双曲线的左、右焦点,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cab442fce0b430cd97c756a39f09a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f25550abe1c40ef2f34a1f219535cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8a952a1380148042d4ef38e491a532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
A.1或9 | B.6 | C.9 | D.以上都不对 |
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2020-04-27更新
|
204次组卷
|
2卷引用:湖北省襄阳市2018-2019学年高二下学期期末数学(理)试题
7 . 已知
、
为双曲线
的左、右焦点,
为双曲线右支上异于顶点的任意一点,若
内切圆的圆心为
,则圆心
到圆
上任意一点的距离的最小值为____________ .
![](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/1892b7c3cd7bea116f532f66fba44662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e265ce107592c375b78007107a9c00a.png)
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2020-04-27更新
|
753次组卷
|
4卷引用:2020届百校联盟高三4月教育教学质量监测考试(全国Ⅰ卷) 数学(理)试题
解题方法
8 . 已知双曲线
,与抛物线
有相同的焦点
,抛物线
的焦点为
,点
是双曲线
右支上的动点,且
的周长的最小值为14,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6e8848f3b75d34d44c202aacc638646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8face28b8b1cc6f9ca28623aa18c14bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e55590555905eb4f57889bbd16e39a.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/74ca2c6b692d86f0b2abc4b9ab32ba31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
9 . 已知双曲线
的左右焦点为
,过
作
轴的垂线与
相交于
两点,
与
轴相交于
.若
,则双曲线
的离心率为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14503fb4f0ee53847732c298c13db666.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b283e4d7375d770823775e4036c9f6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5a9bbcc3e3be40f2d83219b967c1e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2020-04-19更新
|
2267次组卷
|
5卷引用:2020届湖南省岳阳市高三第二次教学质量检测理科数学试题
2020届湖南省岳阳市高三第二次教学质量检测理科数学试题安徽省六安市第一中学2020届高三下学期高考适应性考试数学(理)试题(已下线)考点43 双曲线(讲解)-2021年高考数学复习一轮复习笔记天津市耀华中学2020-2021学年高二上学期第二次阶段检测数学试题沪教版(2020) 选修第一册 领航者 第2章 每周一练(3)
10 . 已知双曲线
,圆
.
是双曲线
右支上的一个动点,以
为圆心作圆
与圆
相外切,则以下命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1983309686915252c4efc8e4455b9d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b38953028a9672450b4bd83b8f6d1408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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