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 . 下列命题是真命题的是( )
A.上底面与下底面相似的多面体是棱台 |
B.若一个几何体所有的面均为三角形,则这个几何体是三棱锥 |
C.若直线![]() ![]() ![]() |
D.正六棱锥的侧面为等腰三角形,且等腰三角形的底角大于![]() |
您最近一年使用:0次
2024-06-16更新
|
144次组卷
|
2卷引用:河南省创新发展联盟2023-2024学年高一下学期第三次月考(5月)数学试题
名校
解题方法
3 . 正方形区域
由9块单位正方形区域拼成,记正中间的单位正方形区域为D.对于
边界上的一点P,若点Q在
中且线段PQ与D有公共点,则称Q是P的“盲点”,将P的所有“盲点”组成的区域
称为P所对的“盲区”.对于
边界上的一点M,若在
边界上含M在内一共有k个点所对的“盲区”面积与
相同,就称M是“k级点”;若在
边界上有无数个点所对的“盲区”面积与
相同,就称M是一个“极点”.对于命题:①
边界正方形的顶点是“4级点”;②
边界上存在“极点”.说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee82531a42c6f40585035798843b518e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26aae8b34c1ed7b4a6c31aefb4123df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26aae8b34c1ed7b4a6c31aefb4123df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
A.①和②都是真命题 | B.①是真命题,②是假命题 |
C.①是假命题,②是真命题 | D.①和②都是假命题 |
您最近一年使用:0次
名校
4 . 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
|
768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)
5 . 已知
,集合
,
,
. 关于下列两个命题的判断,说法正确的是( )
命题①:集合
表示的平面图形是中心对称图形;
命题②:集合
表示的平面图形的面积不大于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a037f86b6fbf91b8e112ae8613ad4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d2f35fefd24f3cb607b9771ea69951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41a4507d85c446a8f3324de736dc778.png)
命题①:集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
命题②:集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79cff5cd16432d03d1c38e2ea800a38.png)
A.①真命题;②假命题 | B.①假命题;②真命题 |
C.①真命题;②真命题 | D.①假命题;②假命题 |
您最近一年使用:0次
2024-04-19更新
|
550次组卷
|
3卷引用:上海市闵行区2024届高三下学期学业质量调研(二模)数学试卷
6 . “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
),以下说法有误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99cebc0b8a5e503e1e24cb57dbbde5b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a1ae2246dcd710cf913417406c2efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeadb619367f955549a75a4eeb931011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8a66dd357f643ef976d14e097446fcf.png)
A.![]() ![]() |
B.![]() |
C.对任意正整数![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
7 . 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
|
279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
8 . 设
,用
表示不超过
的最大整数,则
称为“取整函数”,如:
,
.现有关于“取整函数”的两个命题:①集合
是单元素集:②对于任意
,
成立,则以下说法正确的是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7179c645736d68c90023f83d7f11ed01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc995d4dc915fce7b9aa2a580a250d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c61163f4e1b32c17ce802243394a3084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29b281235fa7f32c4cb22e9689f29ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95add24865272c29a7131e8635e2775.png)
A.①②都是真命题 | B.①是真命题②是假命题 |
C.①是假命题②是真命题 | D.①②都是假命题 |
您最近一年使用:0次
名校
9 . 已知正方体
是一个棱长为2的正方体容器,
,
分别为
,
的中点,下列选项中正确的是( )
命题甲:过
,
,
三点的截面面积为
.
命题乙:若
,
,
为三个小孔(孔的大小忽略不计),则此时容器的最大装水量为6
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
命题甲:过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0874f019492261eb175bdcc08c189d.png)
命题乙:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
A.命题甲和命题乙都为真命题 |
B.命题甲和命题乙都为假命题 |
C.命题甲为真命题,命题乙为假命题 |
D.命题甲为假命题,命题乙为真命题 |
您最近一年使用:0次
10 . 已知等差数列
的前
项和为
,且关于正整数
的不等式
与不等式
的解集均为
.
命题
:集合
中元素的个数一定是偶数个;
命题
:若数列
的公差
,且
,则
.
下列说法中正确的是( )
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd446ae199f91a9ccbc9f8e4d9bb929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd282f6c75c2b717aa5d00db9140a5f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc7d0838efcb0215d4237ebd210f4f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd8cb812f7bdf482a0ae71a0eb5c0c7.png)
下列说法中正确的是( )
A.命题![]() ![]() | B.命题![]() ![]() |
C.命题![]() ![]() | D.命题![]() ![]() |
您最近一年使用:0次