名校
解题方法
1 . 对正实数
,若定义在
上的函数
满足:对任意的实数
,都有
,则称
是“
增函数”. 现给出如下两个命题:命题甲:若对一切正有理数
,函数
均为“
增函数”,则
是
上的增函数,命题乙:若对一切正无理数
,函数
均为“
增函数”,则
是
上的增函数,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4317d70f0927bad41f61019c9e2e8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
A.甲是真命题,乙是假命题 | B.甲是真命题,乙是真命题 |
C.甲是假命题,乙是假命题 | D.甲是假命题,乙是真命题 |
您最近一年使用:0次
名校
2 . 已知A,B为同一次试验中的两个随机事件,且
,
,命题甲:若
,则事件A与B相互独立;命题乙:“A与B相互独立”是“
”的充分不必要条件;则命题( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b2a3318f82fec39c53c0e4fea00f75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9561f0ed50a5e48d8642cc51264a4ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b377d29e6bf63b76a7b17d9bda86296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9e51c7480e18fee2195e617c9a5b4.png)
A.甲乙都是真命题 | B.甲是真命题,乙是假命题 |
C.甲是假命题,乙是真命题 | D.甲乙都是假命题 |
您最近一年使用:0次
2024-05-08更新
|
764次组卷
|
3卷引用:上海市浦东新区上海师范大学附属中学2023-2024学年高二下学期期中考试数学试卷
上海市浦东新区上海师范大学附属中学2023-2024学年高二下学期期中考试数学试卷重庆市第一中学校2023-2024学年高二下学期5月月考数学试题(已下线)专题07概率初步(续)全章复习攻略--高二期末考点大串讲(沪教版2020选修)
3 .
是数列
前
项和,
,给出以下两个命题:
命题
;
命题
:对任意正整数
,不等式
恒成立.
下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c295785802a9a20de7474da544ff4ad.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b02af0dbdb6bf04170368e24d7e871.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ea9f72029ad77a32783acae391a3c1.png)
下列说法正确的是( )
A.命题![]() |
B.命题![]() ![]() |
C.命题![]() ![]() |
D.命题![]() |
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4 . “角股猜想”是“四大数论世界难题”之一,至今无人给出严谨证明.“角股运算”指的是任取一个自然数,如果它是偶数,我们就把它除以2;如果它是奇数,我们就把它乘3再加上1.在这样一个变换下,我们就得到了一个新的自然数.如果反复使用这个变换,我们就会得到一串自然数,该猜想就是:反复进行角股运算后,最后结果为1.我们记一个正整数
经过
次角股运算后首次得到1(若
经过有限次角股运算均无法得到1,则记
,以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e267b5656e096d09d236f718ba38391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6dc4f53811a4d8f477d287200343574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9fd1be55a974a93517dd4c6397efc6b.png)
A.![]() ![]() ![]() |
B.![]() |
C.对任意正整数![]() ![]() |
D.![]() ![]() |
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名校
5 . 下列命题为真命题的是( )
A.大于![]() | B.锐角一定是第一象限角 |
C.第二象限角大于第一象限角 | D.若![]() ![]() |
您最近一年使用:0次
2024-04-04更新
|
610次组卷
|
3卷引用:湖南省娄底市涟源市2023-2024学年高二下学期3月联考数学试题
名校
解题方法
6 . 下列命题为真命题的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-21更新
|
1258次组卷
|
4卷引用:广东省广州市第六中学2023-2024学年高二下学期期中考试数学试题
广东省广州市第六中学2023-2024学年高二下学期期中考试数学试题河北省沧州市泊头市联考2024届高三下学期高考模拟考试数学试题河北省张家口市2024届高三一模数学试题(已下线)1.3 不等式(高考真题素材之十年高考)
名校
解题方法
7 . 如图,点
分别是正四面体
棱
上的点,设
,直线
与直线
所成的角为
,则对于以下两个命题,各选项判断正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/070db60b-0d0f-4b26-adb5-c332ddfd10c4.png?resizew=147)
①当
时,
随着
的增大而减小;
②当
时,
随着
的增大而增大
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f2a9b923a355694ea487f6c5669a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/070db60b-0d0f-4b26-adb5-c332ddfd10c4.png?resizew=147)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfcdbf35c6ca1c7e580583630f1ee097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4a24b387673d21c3d381bf2f3eae63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.①②都是真命题 | B.①是假命题,②是真命题 |
C.①是真命题,②是假命题 | D.①②都是假命题 |
您最近一年使用:0次
2024-03-19更新
|
323次组卷
|
2卷引用:上海市民办南模中学2023-2024学年高二年下学期初态考试数学试卷
名校
8 . 已知坐标满足方程
的点都在曲线C上,则下列命题中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbbf52d1f9d61b41bdd4acfc9fac268.png)
A.曲线C上的点的坐标都适合方程![]() |
B.不在曲线C上的点的坐标必不适合方程![]() |
C.凡坐标不适合方程![]() |
D.不在曲线C上的点的坐标有些适合方程![]() |
您最近一年使用:0次
名校
解题方法
9 . 设
分别是四棱锥
侧棱
上的点.给出以下两个命题,则( ).
①若
是平行四边形,但不是菱形,则
可能是菱形;
②若
不是平行四边形,则
可能是平行四边形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d659d5601d47fc8e580788f8bfc2cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb6099cb3d24e0096b6c2f7aa432abe.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
A.①真②真 | B.①真②假 | C.①假②真 | D.①假②假 |
您最近一年使用:0次
2024-01-15更新
|
278次组卷
|
2卷引用:上海市建平中学2023-2024学年高二上学期期末质量监测数学试卷
名校
解题方法
10 . 对于无穷数列
和正整数
,若
对一切正整数
成立,则称
具有性质
.设无穷数列
的前
项和为
,有两个命题:①若
是等比数列且对一切正整数
,数列
都具有性质
,则
具有性质
;②若
是等差数列且存在无数个正整数
,使得数列
不具有性质
,则
的公差
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae7af4faacb7f63f76be3023210a746.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834925e383a1e904951eea76b55bcb4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ac49ab7c8001c209b8611b9ea40d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834925e383a1e904951eea76b55bcb4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2387880727d458702651d699e76d7d76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834925e383a1e904951eea76b55bcb4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
A.①假命题,②真命题 | B.①假命题,②假命题 |
C.①真命题,②假命题 | D.①真命题,②真命题 |
您最近一年使用:0次