解题方法
1 . 设椭圆
的右焦点为
,直线
与椭圆交于
两点,现给出下述结论:
①
为定值; ②
的周长的取值范围是
;
③当
时,
为直角三角形; ④当
时,
的面积为
.
其中所有正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def6b1847098dd39d653c77786cb4eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a9cac426a3e47fe30d6786b298115e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9135ec61f3c1dbf25efb23cfecec3a7a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835df8452abb6184e5da01423c3cb8ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afac6934256a23613443c393446881a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d054968e641765d30c68f0bb0482ff3c.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c77abd1834b8f07131d8e7bde85d0e9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afac6934256a23613443c393446881a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afac6934256a23613443c393446881a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
其中所有正确结论的序号是( )
A.①②③ | B.②④ | C.①③ | D.①③④ |
您最近一年使用:0次
名校
解题方法
2 . 已知椭圆
的左、右焦点分别为
,
,点
,
在椭圆
上,若
,且
,则椭圆
的离心率为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.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/8198c3b302b3820e86763428eb1e91cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90206f27dc8aadcd10fc6a349ae3f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9202a7f0197fb8ea86a773acaa3d25f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350843f3e35a78bbf6b93d5dfc42bc83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-03-15更新
|
623次组卷
|
2卷引用:湖北省武汉市第二中学2019-2020学年高二上学期期末数学试题
3 . 设椭圆
的左焦点为
,在
轴上
的右侧有一点
,以
为直径的圆与椭圆在
轴上方部分交于
两点,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a477603f3f88c3b48352b6130f9ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909aab6b65af55c7a2bc87338ba9b6b1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-02-06更新
|
477次组卷
|
2卷引用:2020届湖北省部分重点中学高三上学期期末联考理科数学试题
4 . 椭圆
:
与双曲线
:
焦点相同,
为左焦点,曲线
与
在第一象限、第三象限的交点分别为
、
,且
,则当这两条曲线的离心率之积最小时,双曲线有一条渐近线的方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29eb5ce3f09c49dfa489a3b0bd5beafb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.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/a0b1af64e0af8f34b1bf80be6f4828ea.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2019-01-14更新
|
1479次组卷
|
3卷引用:【省级联考】湖北省2019届高三1月联考测试数学(文)试题
名校
5 . 设函数
,已知集合
为
的极值点
,
,若存在实数
,使得集合
中恰好有
个元素,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7caed1b9dbe9c226bf4d3f496a4f2e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e719ec1cc00722c36e7e86fb844ac418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c740bdf00c9e2680500d4eba06021f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2018-05-02更新
|
1454次组卷
|
3卷引用:湖北省武汉西藏中学2022-2023学年高二下学期期末数学试题
11-12高二下·湖北襄阳·期中
解题方法
6 . 给出下列命题:
①已知椭圆
两焦点
,则椭圆上存在六个不同点
,使得△
为直角三角形;
②已知直线
过抛物线
的焦点,且与这条抛物线交于
两点,则
的最小值为2;
③若过双曲线
的一个焦点作它的一条渐近线的垂线,垂足为
为坐标原点,则
;
④根据气象记录,知道荆门和襄阳两地一年中雨天所占的概率分别为20%和18%,两地同时下雨的概率为12%,则荆门为雨天时,襄阳也为雨天的概率是60%.
其中正确命题的序号是( )
①已知椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ddab7b8aa22e1ba4c59da7dc04ac9e2.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/6bb09cc199607f465889b7c194161484.png)
②已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108c18cb76d7d34b05c991a644c8b136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
③若过双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da8255e035cfd3c2e84f10b236b6fd97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b36c140bdd5e8a5688a45ed96bf00d.png)
④根据气象记录,知道荆门和襄阳两地一年中雨天所占的概率分别为20%和18%,两地同时下雨的概率为12%,则荆门为雨天时,襄阳也为雨天的概率是60%.
其中正确命题的序号是( )
A.①③④ | B.①②③ | C.③④ | D.①②④ |
您最近一年使用:0次