解题方法
1 . 已知双曲线
与双曲线
没有公共点,则双曲线
的离心率的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8664e94c5793590f8d478e20908317c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc12ba69e671becc0511dea0660ce1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-04-20更新
|
363次组卷
|
2卷引用:2019年浙江省普通高中学业水平名师预测卷(二)
13-14高一·全国·课后作业
名校
2 . 双曲线
的渐近线方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921df76c0a49a3b230c9882af4af2d93.png)
A.y±4x=0 | B.y±2x=0 | C.x±2y=0 | D.x±4y=0 |
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2020-03-22更新
|
557次组卷
|
8卷引用:2019年浙江省普通高中学业水平名师预测卷(一)
解题方法
3 . 过双曲线
(
)的左顶点
作倾斜角为
的直线
,
交
轴于点
,交双曲线的一条渐近线于点
,若
,则该双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0f134605b8b48aaebce5ebfc06b7467.png)
A.5 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 如图,
为椭圆
的右焦点,过
作
轴的垂线交椭圆于点
,点
分别为椭圆的右顶点和上顶点,
为坐标原点.若△
的面积是△
面积的
倍,则该椭圆的离心率是( )
![](https://img.xkw.com/dksih/QBM/2020/3/13/2418814390886400/2418920038391808/STEM/c703b9752bdb4c30a40c0b8c6fdb0801.png?resizew=186)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edb0152cf313ce5a5a8acece68edb9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://img.xkw.com/dksih/QBM/2020/3/13/2418814390886400/2418920038391808/STEM/c703b9752bdb4c30a40c0b8c6fdb0801.png?resizew=186)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2020-03-20更新
|
466次组卷
|
2卷引用:浙江省2018年4月高中学业水平考试数学试题
5 . 已知双曲线C:
的离心率为2,左、右焦点分别为
,点
在双曲线C的右支上,若
,则直线
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.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/f5a0b4e1cfdb377abfca0ce18fb946ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 如图,已知抛物线
的焦点为
,
为坐标原点,直线
与抛物线
相交于
,
两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/5/90454f7c-9f4b-4b20-961e-97b23c25ba88.png?resizew=130)
(1)当
,
时,求证:
;
(2)若
,点
关于直线
的对称点为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa2c731aaa4005382d5b4324e29fbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f24e616b5a35ff372c78c1472f156ab.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://img.xkw.com/dksih/QBM/editorImg/2022/11/5/90454f7c-9f4b-4b20-961e-97b23c25ba88.png?resizew=130)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f06408895febc126c2ae409e807349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f20bf927d76ca5c9679922cc89f489.png)
您最近一年使用:0次
名校
解题方法
7 . 如图所示,已知双曲线
:
的右焦点为
,双曲线的右支上一点
,它关于原点
的对称点为
,满足
,且
,则双曲线
的离心率是
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/bb722194-66d0-4f23-9cb9-bf7a94b27c84.png?resizew=158)
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3334308760163eebfb7fcf1c92cfe604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1584b2113456692cd84ef04aceba3ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/bb722194-66d0-4f23-9cb9-bf7a94b27c84.png?resizew=158)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-03-14更新
|
1095次组卷
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6卷引用:浙江省2019年6月普通高中学业水平考试数学试题1
浙江省2019年6月普通高中学业水平考试数学试题1(已下线)浙江省2019年6月普通高中学业水平考试数学试题(已下线)【新东方】高中数学20210527-011【2021】【高二下】西藏拉萨市2019-2020学年高二上学期期末联考数学(文)试题西藏拉萨市2019-2020学年高二上学期期末联考数学(理)试题山东省潍坊市寿光市第一中学2021-2022学年高二上学期期末数学试题
8 . 椭圆
的焦点坐标是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e78f1a9cc4dedc05c175ab99b288b9f.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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9 . 已知点P(1,3),Q(1,2).设过点P的动直线与抛物线y=x2交于A,B两点,直线AQ,BQ与该抛物线的另一交点分别为C,D.记直线AB,CD的斜率分别为k1,k2.
(1)当
时,求弦AB的长;
(2)当
时,
是否为定值?若是,求出该定值.
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2b579bbefa4ed71201a094fd9f0f8.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b859d221f63e686975340f4c78664b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8ad92198fa9857647adcead8a2d508.png)
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10 . 设={(x,y)|x2-y2=1,x>0},点M是坐标平面内的动点,若对任意的不同两点P,Q∈,∠PMQ恒为锐角,则点M所在的平面区域(阴影部分)为
A.![]() | B.![]() |
C.![]() | D.![]() |
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