1 . 椭圆
和双曲线
有相同的焦点
,
,点
是这两曲线的一个交点,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a39030c2cbb3e33127dbd4f7574d504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4473aa0b75b558b149ed8462689eec8.png)
A.![]() | B.![]() | C.![]() | D.m-a |
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|
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2卷引用:广东省广州市海珠区2020-2021学年高二上学期期末联考数学试题
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解题方法
2 . 几何体结构素描是学习素描最重要的一个阶段,某同学在画“切面圆柱体”(用不平行于圆柱底面的平面去截圆柱,圆柱底面与截面之间的部分叫做切面圆柱体)的过程中,发现“切面”是一个椭圆,若切面所在平面与底面成
角,则该椭圆的离心率为( )
![](https://img.xkw.com/dksih/QBM/2021/2/2/2649277062283264/2653461799903232/STEM/f0391563f681493bb54bd38fbde683fc.png?resizew=295)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://img.xkw.com/dksih/QBM/2021/2/2/2649277062283264/2653461799903232/STEM/f0391563f681493bb54bd38fbde683fc.png?resizew=295)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-02-08更新
|
461次组卷
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3卷引用:广东省广州市海珠区2020-2021学年高二上学期期末联考数学试题
解题方法
3 . 已知椭圆
,则该椭圆的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e78f1a9cc4dedc05c175ab99b288b9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知:椭圆
的左右焦点为
、
,椭圆
截直线
所得线段
的长为
,三角形
的周长为
.
(1)求
的方程;
(2)若
,
为
上的两个动点,且
.证明:直线
过定点,并求定点的坐标.
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a454588e9beb97c69a0332a7c5c796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ea1c3fe8431260ecb8dffcdae8d570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7968fb3b50a474cae4a0d782de40bd7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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5 . 设
、
为椭圆
的左、右顶点,若在椭圆上存在异于
、
的点
,使得
,其中
为坐标原点,则椭圆的离心率
的取值范围是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e137562b63a5452f1d6401d2115f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
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6 . 设
,
是抛物线
上的两点,
,
是坐标原点,下列结论成立的是( )
![](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/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.直线![]() ![]() | B.![]() ![]() |
C.线段![]() | D.![]() |
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7 . 已知点
是抛物线
上的一个动点,则点
到点
的距离与点
到
轴的距离之和的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b56409929f4a4b77a4aa36639c7701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
A.2 | B.![]() | C.3 | D.![]() |
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486次组卷
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3卷引用:广东省汕头市金山中学2020-2021学年高二上学期期末数学试题
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解题方法
8 . 已知斜率为
的直线与双曲线
交于
,
两点,若
,
的中点为
,则双曲线的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6114ce586d4468f1b83c85bf029ba625.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 抛物线
的准线方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029d213f131f206f5f3520860de56690.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 双曲线
的渐近线方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41c95e0a80f48f75b0bff3dab49d00e.png)
您最近一年使用:0次
2021-02-05更新
|
451次组卷
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3卷引用:广东省清远市2020-2021学年高二上学期期末数学试题