名校
解题方法
1 . 已知
是方程
的一个根,另两个实根可分别作为某椭圆,某双曲线的离心率,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac603c0b3d1d7fd42bd50222b6ab94d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知双曲线
的左右焦点为
,过左焦点
作垂直于
轴的直线交双曲线的两条渐近线
两点,若
是钝角,则双曲线离心率的范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab820a43016677dcc071517b4735f52.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 .
,
是双曲线
的左右焦点,若双曲线上存在点
满足
,则双曲线离心率的取值范围为
![](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/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d079093a65d71d70453bd0cd147c8574.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
4 . 已知命题
方程
表示焦点在
轴上的椭圆,命题
双曲线
的离心率
,若“
”为假命题,“
”为真命题,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0046211e751ce4877607647c90786d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dd7e9aeab5f879300c09dda6318cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f0b2e46ce5d0706160c2ba6a11c8c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2018-07-17更新
|
1525次组卷
|
4卷引用:【全国百强校】黑龙江省哈尔滨师范大学附属中学2017-2018学年高二下学期期末考试数学(文)试题
名校
解题方法
5 . 已知中心在原点的椭圆与双曲线有公共焦点,左、右焦点分别为
,
,且两条曲线在第一象限的交点为
,若
是以
为底边的等腰三角形.椭圆与双曲线的离心率分别为
,
,则
的取值范围是
![](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/0a9df1061c3ba5151ba2f7359acaf356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0beca10a606799e478017e87c67c8ec.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-02-09更新
|
1428次组卷
|
2卷引用:重庆市巴蜀中学2017-2018学年高二上学期期末考试数学(理)试题
名校
解题方法
6 . 若方程
的三个实根可分别作为一椭圆、一双曲线、一抛物线的离心率,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac603c0b3d1d7fd42bd50222b6ab94d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342b40e2068ffb92320b6a9102a7299e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 若直线
和直线
相交于一点,将直线
绕该点依逆时针旋转到与
第一次重合时所转的角为
,则角
就叫做
到
的角,
,其中
分别是
的斜率,已知双曲线
:
的右焦点为
,
是右顶点,
是直线
上的一点,
是双曲线的离心率,
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d529edd014d71f96cd09ac4d0b01ec5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa5d6092f598c7da4796f965e40525a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f72f5c6a2dd16d08067b9d0683a0cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
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2011·河北唐山·二模
解题方法
8 . 已知函数
的一个零点为
,另外两个零点可分别作为一个椭圆、一双曲线的离心率,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8255d540afdd24f608ab7ec231cff469.png)
_____________ ;
的取值范围是_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b269dce1ae3396d2afc82a91dc6f97ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8255d540afdd24f608ab7ec231cff469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
您最近一年使用:0次
解题方法
9 . 如图,在
中,
,AC、BC边上的高分别为BD、AE,则以A、B为焦点,且过D、E的椭圆与双曲线的离心率分别为
,则
的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36ce67c8f2d7a96f4c33b61d4eff5a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f994a876391534efe497dc115a53e3fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2770478f4c5e9339f84a0c39c66a4e59.png)
![](https://img.xkw.com/dksih/QBM/2016/10/20/1573083796652032/1573083802845184/STEM/95f25678-3858-4378-a635-9de3a0ac2c36.png?resizew=205)
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10 . 已知双曲线
的离心率
,则一条渐近线与实轴所成角的取
值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99037cdec9988f31cccd1c45fcb7d72c.png)
值范围是
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