1 . 双曲线
的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da017679186c4bbe0980273306544653.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 若命题
,
;命题
使直线
的倾斜角为
.则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406e8715940df234c4ee386bf1f142f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/024710f947dba724bd75c2e03585660a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1569b0307a8ddd9dee31e07d25a3cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d31d3dffb55d744c8078ab73e1567c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . “
”是方程“
”表示抛物线的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2cce5b9335ca686bae15b50f86ff88.png)
A.充分但不必要条件 | B.必要但不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
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4 . 设
为坐标原点,
,
是双曲线
的焦点,若双曲线上存在点
,满足
,
,则该双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720c0f75d921f73bf3b78acb57194d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00ed19aaaabb9e6b164285f333af21d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
5 . 双曲线
的焦点到其渐近线的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a0bd4bd9985f1e367c100b453ed03f.png)
A.2 | B.4 | C.3 | D.5 |
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8卷引用:四川省泸州市2020-2021学年高二上学期期末数学文科试题
四川省泸州市2020-2021学年高二上学期期末数学文科试题四川省泸州市2020-2021学年高二上学期期末数学理科试题四川省广安市广安代市中学校2021-2022学年高二上学期12月月考数学(理)试题四川省泸州市2023-2024学年高二上学期期末模拟考试数学试题江西省五市九校(分宜中学、高安中学、临川一中、南城一中、彭泽一中、泰和中学、玉山一中、樟树中学、南康中学)协作体2022届高三第一次联考数学(理)试题甘肃省平凉市泾川县2020-2021学年高二下学期期末数学理科试题河北省保定市高碑店市崇德实验中学2023-2024学年高二上学期期末数学试题吉林省通化市梅河口市第五中学2023-2024学年高二下学期开学考试数学试题
6 . 已知椭圆
的中心在坐标原点,一个焦点为
,长轴长为4,则椭圆
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知方程
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c3dfa25ed57eee1f75218d735e6f73.png)
A.当![]() | B.当![]() |
C.方程不可能表示直线 | D.方程可能表示抛物线 |
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8 . 已知椭圆
的左、右焦点分别为
、
,过
作
轴的平行线交椭圆
于
两点,
为坐标原点,双曲线
以
为顶点,以直线
为渐近线,则双曲线
的焦距为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3964249ddc31cf9bfcce32c8c15e3d54.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知抛物线
的焦点在直线
上,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b3f4f89fe71e2ee6bc6aa65b0b183a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71d062eb189dbebac9b3b1b4b35fd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.3 | B.4 | C.6 | D.2 |
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名校
10 . 已知椭圆
的离心率为
,左、右焦点分别为
、
,过
作
轴的平行线交椭圆
于
、
两点,
为坐标原点,双曲线
的虚轴长为
,且以
、
为顶点,以直线
、
为渐近线,则椭圆
的短轴长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cf6cca367ce2afd96d7d951f9587e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.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/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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