真题
1 . 已知命题p:
,
;命题q:
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a976d91358362fa49d6da8021fd47e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed5eb35c548188c5e053f52bd40000d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35eac3ba2858adffcd1f8052cd795269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec6f7778d01e029c063ae2871a4e901.png)
A.p和q都是真命题 | B.![]() |
C.p和![]() | D.![]() ![]() |
您最近一年使用:0次
7日内更新
|
6464次组卷
|
5卷引用:2024年新课标全国Ⅱ卷数学真题
2024年新课标全国Ⅱ卷数学真题(已下线)2024年高考数学真题完全解读(新高考Ⅱ卷)专题01集合与常用逻辑用语、不等式(已下线)2024年新课标全国Ⅱ卷数学真题变式题1-5(已下线)周测1 集合与常用逻辑用语 一轮周测卷(提升卷)
名校
解题方法
2 . 已知数列
不是常数列,前
项和为
,且
.若对任意正整数
,存在正整数
,使得
,则称
是“可控数列”.现给出两个命题:①存在等差数列
是“可控数列”;②存在等比数列
是“可控数列”.则下列判断正确的是( )
![](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/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec813921f5c8816d437808a5f7b5abb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.①与②均为真命题 | B.①与②均为假命题 |
C.①为真命题,②为假命题 | D.①为假命题,②为真命题 |
您最近一年使用:0次
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
4 . 已知
表示
这
个数中最大的数.能说明命题“
,
,
”是假命题的对应的一组整数a,b,c,d值的选项有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a6c3f9ff96135c3112eb0722a49fde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe1c31a81f198c443e71b83ca662939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512789b0d256feb256ce8f01c9afe4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b33ff8346b233bd4721e7c1b67488e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a42f7c7e353ec3531302453f236a05.png)
A.1,2,3,4 | B.![]() ![]() |
C.8,![]() ![]() ![]() | D.5,3,0,![]() |
您最近一年使用:0次
5 . 已知
:设函数
在区间
上的图象是一条连续不断的曲线,若
,则
在区间
内无零点.能说明
为假命题的一个函数的解析式是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d74d2ba9fa9b11875b2d4c8db6096084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
2024-05-07更新
|
453次组卷
|
3卷引用:北京市昌平区2024届高三第二次统一练习数学试题
6 . 已知函数
的定义域为
.
命题
:若当
时,都有
,则函数
是D上的奇函数.
命题
:若当
时,都有
,则函数
是D上的增函数.
下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbcba9ab52d6b482665b3c174c763eb6.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621dcdcda531ea579ce0af1380e602d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1f95db0eedb357ee977acb20633f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580c300d1699fc2145c914a0c99ae585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5388a6f23531c3fdd1a32f0cc6a6e8a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
下列说法正确的是( )
A.p、q都是真命题 | B.p是真命题,q是假命题 |
C.p是假命题,q是真命题 | D.p、q都是假命题 |
您最近一年使用:0次
名校
解题方法
7 . 三棱锥
各顶点均在半径为
的球
的表面上,
,二面角
的大小为
,则对以下两个命题,判断正确的是( )
①三棱锥
的体积为
;②点
形成的轨迹长度为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e0e58159e9b66c4a93372cd77ab9758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b796bbaeb8450404c2d146283562006e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defbf09ba4c3d4770a7dacd04426e8fa.png)
①三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a391005600bdd69c96750589f9adb048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557a94abe27623e48ee2c729a8352b8c.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
2024-04-23更新
|
415次组卷
|
2卷引用:上海市徐汇区2024届高三学习能力诊断数学试卷
8 . 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
解题方法
9 . 在棱长为1的正方体
中,过面对角线
的平面记为
,以下四个命题:
,使
;
②若平面
与平面
的交线为
,则存在直线
,使
;
③若平面
截正方体所得的截面为三角形,则该截面三角形面积的最大值为
;
④若平面
过点
,点
在线段
上运动,则点
到平面
的距离为
.
其中真命题的序号为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b239e234d9ae31814af54bf27b7056ba.png)
②若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0c6947783608bd8f6dc7fdaadad2cb.png)
③若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821309f088a175c00dc0f4828334503d.png)
④若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b78c047642924fe864028c81b1f49d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
其中真命题的序号为
您最近一年使用:0次
10 . 下列哪些命题是真命题?_______
(1)
是
的充要条件
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7601a33e9cf63db183630b01ac84032e.png)
(3)
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b01df04fd13dd27cd4acf6645367196.png)
(4)若
为无理数,则
为无理数
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5206984aa8c1487f1ed2528045b16b18.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7601a33e9cf63db183630b01ac84032e.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20a1af4425e9b77626f10f270e23648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b01df04fd13dd27cd4acf6645367196.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
您最近一年使用:0次