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1 . 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![]() |
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解题方法
2 . 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 |
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3 . 下列命题中是真命题的个数是( )
①命题“
”的否定是“
”
②设
是向量,命题“若
,则
”的逆命题是真命题
③命题
是奇函数;命题
的最小值是2,则
是真命题
④若直线
平面
,平面
平面
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef6fce1b7e6d7a650890e2435931700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b54b90293b6bb0de4456da8f1dc98dc8.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778542d99ab19e2ecc0c7ef75161f133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5025f108d00d5146d3acf9bd32473a09.png)
③命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59edaab095ba98c3cfc2c2cf9e7b3f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f872fd4d10fa17d6cd95266be506500e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e29e70dc0bc2a9cf1a5feb67d439566.png)
④若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f979a27d3a09a17445561091e6655eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa807136194c18d3ac58902c67f9333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.0 | B.1 | C.2 | D.3 |
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4 . 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![]() ![]() |
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3卷引用:江西省部分学校2023-2024学年高一下学期开学考试数学试题
5 . 设
,
为不同的平面,
,
,
为三条不同的直线,则下列命题中为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.若![]() ![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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解题方法
6 . 已知随机变量ξ服从正态分布,有下列四个命题:
甲:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbe3ea1a33233d5c4b6046e327e163f.png)
乙:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2e23dcc0bdbb6a9c9b1f592867cb7b.png)
丙:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec35858eae40299e63f6fbe36f35072.png)
丁:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31decce411c9d4a08875a59e01324371.png)
若这四个命题中有且只有一个是假命题,则该假命题为( )
甲:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbe3ea1a33233d5c4b6046e327e163f.png)
乙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2e23dcc0bdbb6a9c9b1f592867cb7b.png)
丙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec35858eae40299e63f6fbe36f35072.png)
丁:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31decce411c9d4a08875a59e01324371.png)
若这四个命题中有且只有一个是假命题,则该假命题为( )
A.甲 | B.乙 | C.丙 | D.丁 |
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7 . 给出下面四个命题:
①若幂函数
过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9418858cbd53e9c2d3d4e06efe82a927.png)
②若
,
,则
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2f0889777cab6ac15fddbdea80335d2.png)
③
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc2b5a6677f3010320cf1e88831901a.png)
④“
”是“函数
是奇函数”的充要条件
其中真命题个数是( )
①若幂函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7bd0c3be33656242a2234541ebc4ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e275f8eea3cee658984b04cfe4cc170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9418858cbd53e9c2d3d4e06efe82a927.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8aa4b9ab6f097ecd288942230b6297.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d06720eea2022e5cc8cf1e122df7e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06094f068ae2962cfffbd77a44fa2204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2f0889777cab6ac15fddbdea80335d2.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fad1dd76d5b72f10f5bb62693a2996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc2b5a6677f3010320cf1e88831901a.png)
④“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
其中真命题个数是( )
A.1 | B.2 | C.3 | D.4 |
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2023-07-14更新
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8 . 已知随机变量X服从正态分布
,下列四个命题:
甲:
;乙:
;
丙:
;丁:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a39aee0a6e0627f3db0c11d6aba52ee.png)
如果有且只有一个是假命题,那么该命题是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84c2c26cbb6b22a415fd0830401aeac.png)
甲:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f53dd05294286dd5c7c2540f5e6e179a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd1a0d6d3c955cf2d38c7ae9b6be022d.png)
丙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8835b696e2202ab6f4575897a7675f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a39aee0a6e0627f3db0c11d6aba52ee.png)
如果有且只有一个是假命题,那么该命题是( )
A.甲 | B.乙 | C.丙 | D.丁 |
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2023-06-02更新
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5卷引用:上海市嘉定区第一中学2023届高三三模数学试题
上海市嘉定区第一中学2023届高三三模数学试题(已下线)专题09 计数原理与概率统计-2(已下线)第08讲 两点分布、二项分布、超几何分布与正态分布(十一大题型)(讲义)-2上海市复兴高级中学2024届高三下学期3月月考数学试题(已下线)第七章 概率初步(续)(压轴题专练)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第二册)
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9 . 已知命题p:若
,则
;命题q:若
,则
.则下列是真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca27cc54ca0332245f5167488daa3408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5396b403029b41214dd52225eb3c0031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa3205b1df826d63914dcb55bb3ab43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc597b4887651e79f55670147a8d36b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 在空间中,有命题
:平行于同一条直线的两直线平行;命题
:垂直于同一条直线的两直线平行.则下列命题为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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