名校
1 . 已知函数
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c9320d009a17deba67f208c7d8be8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ad7601635d1423b3cc6aaf6f1a384d8.png)
A.1 | B.![]() |
C.![]() | D.0 |
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2024-04-18更新
|
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7卷引用:河南省郑州市新郑双语高中等校2023-2024学年高二下学期4月期中测评数学试卷
名校
解题方法
2 . 已知
是椭圆
的两个焦点,点
在
上,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4402aeb853b22f20992156957ef0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9477b76946c659840bd800211158302d.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() |
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2023-11-20更新
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6卷引用:河南省郑州市河南省实验中学2023-2024学年高二上学期第二次月考数学试题
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解题方法
3 . 已知双曲线C:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
的实轴长为2.
(1)若双曲线C的渐近线方程为
,求双曲线方程;
(2)设
、
是C的两个焦点,P为C上一点,且
,
的面积为9,求C的标准方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f311053d11884b1a21d5f9b5724996c6.png)
(1)若双曲线C的渐近线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10273b05ad8210d8db07639c4d149fd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a61d572ecf27dc02fcbd588f24647b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce67f2138e7295cd72d66b2908cb6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6f11973d465851e8dbc064452db00d.png)
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2023-11-19更新
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名校
解题方法
4 . 如图,点
,
为双曲线
(
,
)的左右焦点,点
、
、
分别为双曲上三个不同的点,且
经过坐标原点
,并满足
,
,则双曲线的离心率为__________ .
![](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/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1f4cee76cf7a05e9b0b403f5f35e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37cb9e6181b62e8397f7077ec05c0d9e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/14/88d8c58d-cb4c-4352-b55d-c754585f367d.png?resizew=205)
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2卷引用:河南省郑州高新技术产业开发区郑州外国语学校2023-2024学年高二上学期期中数学试题
5 . 已知抛物线
(
)的焦点为F,
的顶点都在抛物线上,满足
.
(1)求
的值;
(2)设直线AB、直线BC、直线AC的斜率分别为
,
,
,若实数
满足:
上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b538a85b4c31bfad234cb45f32ec2b69.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31d97d10cd0f1e12d95137a473ec366.png)
(2)设直线AB、直线BC、直线AC的斜率分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c1dc007e36c78ab98df4cd2383b4c5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e12d4e98345c00e7daf3168eeeb1ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d15fc80566442a54ddd883c7c53074b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50228d900c11c259e4ce0a58ca2431f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2023-11-16更新
|
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|
4卷引用:河南省郑州市郑州外国语学校2023-2024学年高二上学期第二次月考数学试卷
河南省郑州市郑州外国语学校2023-2024学年高二上学期第二次月考数学试卷湖南省长沙市雅礼中学2023-2024学年高二上学期期中数学试题湖南省长沙市雨花区雅礼教育集团2023-2024学年高二上学期期中数学试题(已下线)期末考试押题卷三(考试范围:苏教版2019选择性必修第一册)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第一册)
名校
解题方法
6 . 已知点
在曲线
上,
为坐标原点,若点
满足
,记动点
的轨迹为
.
(1)求
的方程;
(2)设
的右焦点为
,过点
且斜率不为0的直线
交椭圆
于
两点,若
与
轴垂直,且
是
与
在第一象限的交点,记直线
与直线
的斜率分别为
,当
时,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90b5ed62c5d6de50354a183c46be03f.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/bb7a64548887d81a40cc026f72fb862a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2dca049735b45fb9b2533c68605eddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d200a411fbc2f50ad72f1fd729a7d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a9dabb53dc826019fc8b6ae6d940c5.png)
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2023-11-16更新
|
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2卷引用:河南省郑州市郑州外国语学校2023-2024学年高二上学期第二次月考数学试卷
7 . 已知抛物线
上存在一点
到其焦点的距离为3,点
为直线
上一点,过点
作抛物线
的两条切线,切点分别为
为坐标原点.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83544c91ff4d5d0689f4014ee459005c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef644115c956ed62c3da8310c6f67ecd.png)
A.抛物线的方程为![]() | B.直线![]() |
C.线段![]() ![]() | D.![]() |
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2023-11-14更新
|
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|
6卷引用:河南省郑州市第十八中学2023-2024学年高二上学期期末模拟数学试题(三)
名校
解题方法
8 . 椭圆
的离心率
,且椭圆
的长轴长为4.
(1)求椭圆
的方程;
(2)设直线
过点
,且与椭圆
相交于
两点,又点
是椭圆
的下顶点,当
面积最大时,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de85df85401e7e8da683ea4a784963c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43fc91ace7f86ce3e7efbed8ead2838d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2023-11-13更新
|
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名校
9 . 若实数
满足
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076a6dcb8a2ebcaff5164c34f605bfd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-11-12更新
|
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3卷引用:河南省郑州市新郑双语高中等校2023-2024学年高二下学期4月期中测评数学试卷
10 . 若点
满足方程
,则点
的轨迹是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd83b24c0b16f29f257ab7513b14981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.圆 | B.椭圆 | C.双曲线 | D.抛物线 |
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|
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8卷引用:河南省郑州市中牟县2023-2024学年高二上学期期中数学试题
河南省郑州市中牟县2023-2024学年高二上学期期中数学试题沪教版(2020) 选修第一册 高效课堂 第二章 单元测试(1)广东省韶关市武江区广东北江实验学校2022-2023学年高二下学期第一次(3月)月考数学试题河南省许昌市禹州市高级中学2022-2023学年高二下学期第一次段考(2月)数学试题(已下线)第23讲 抛物线及其标准方程5种常见考法归类-【暑假自学课】2023年新高二数学暑假精品课(人教A版2019选择性必修第一册)(已下线)专题3.6 抛物线的标准方程和性质【八大题型】-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)第03讲 3.3抛物线(8大题型训练)-【练透核心考点】2023-2024学年高二数学上学期重点题型方法与技巧(人教A版2019选择性必修第一册)(已下线)专题10 抛物线(五大核心考点五种题型)-【寒假自学课】2024年高二数学寒假提升学与练(沪教版2020)