1 . 正数
,
满足“
”的充要条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a5abe56c019ac914e1fcde1865a747.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 设A,B为随机事件,则
的充要条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db79fa983a07fcb1f1a77944291e0f53.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
3 . 直线
:
与直线
:
平行,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f3d8a8726140e17d9daf306908e99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b128ee884fd2af03253dfaa244ceff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027830fc47290062692964077ee481e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
A.充分不必要条件 | B.充要条件 |
C.必要不充分条件 | D.既不充分也不必要 |
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2024-03-06更新
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798次组卷
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4卷引用:湖北省云学名校联盟2023-2024学年高二下学期3月联考数学试卷
解题方法
4 . 下列说法正确的是( )
A.若直线![]() ![]() ![]() ![]() ![]() ![]() ![]() |
B.命题![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.“![]() ![]() ![]() |
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5 . 设
是公差不为0的无穷等差数列,现有下述两个命题:①“对任意正整数
,都有
成立”是“
为严格递减数列”的充分不必要条件;②“
为严格递增数列”是“存在正整数
,当
时,总有
”的充要条件.则说法正确的选项是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6a46c5fb744758ad83902819b83bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ccd4537f4dee2050ade38b972eb9b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985dc26a89252b2e8dea815c529a2ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9537cbc5ba7041d5e34e6b8ae1e8e8b5.png)
A.命题①与②均为真命题 |
B.命题①为真命题,命题②为假命题 |
C.命题①为假命题,命题②为真命题 |
D.命题①与②均为假命题 |
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6 . 已知直线l经过点
,则“直线l的斜率为
”是“直线l与圆C:
相切”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed582a84139c6d541cf7478621151876.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
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2024-01-18更新
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5卷引用:河南省南阳市唐河县2023-2024学年高二上学期期末质量检测数学试题
7 . 已知直线
:
,
:
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed30a7d61e95f0e6c9d3478805453d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8ef1f169a4f07dc5ad7605056a7d7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027830fc47290062692964077ee481e4.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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2024高三上·全国·专题练习
8 . 设
是虚数,
(1)求证
为实数的充要条件为
;
(2)若
,推测
为实数的充要条件;
(3)由上结论,求满足条件
,及实部与虚部均为整数的复数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ae50806d8c14f0275864b30e9f30a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6db0e748196e89b9d821e0289c751d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a2d495bb0ee1fda8edb853595e3e472.png)
(3)由上结论,求满足条件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ae288e6e67e9248046d57e6a779763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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9 . 下列说法中正确的有( )
A.若![]() ![]() ![]() ![]() ![]() |
B.“![]() ![]() |
C.“![]() ![]() |
D.若![]() ![]() ![]() |
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10 . 已知三棱锥
的底面
为等腰直角三角形,
,
,平面
平面
,三角形
不是钝角三角形且面积为
,点
在面
上的射影为点
.
(1)证明:
平面
的充要条件是
;
(2)求二面角
的正弦值的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69550d878381f6e8fb436e88638f070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf6dc837ae85207789b94d109c5c2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/f8a2a064-a3d1-4d6b-961a-db7a9bfd0b19.png?resizew=170)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ea3d743f8f55357958e5a6e0bc2a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e735a28578ba191da6d4f3b0f8e8729.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2898853a3396f0878af9eac934416d.png)
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2024-01-02更新
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4卷引用:全国2023-2024学年高二上学期期末考试考前冲刺模拟数学试题(02)
全国2023-2024学年高二上学期期末考试考前冲刺模拟数学试题(02)湖北省2023-2024学年高二上学期期末冲刺模拟数学试题(02)(已下线)第14讲 8.6.3平面与平面垂直(第1课时 )-【帮课堂】(人教A版2019必修第二册)(已下线)第八章 立体几何初步 单元复习提升(易错与拓展)(2)-单元速记·巧练(人教A版2019必修第二册)