2012·四川自贡·三模
1 . 对于三次函数
,定义
是
的导函数
的导函数,若方程
有实数解
,则称点
为函数
的“拐点”,可以证明,任何三次函数都有“拐点”,任何三次函数都有对称中心,且“拐点”就是对称中心,请你根据这一结论判断下列命题:
①任意三次函数都关于点
对称:
②存在三次函数
有实数解
,点
为函数
的对称中心;
③存在三次函数有两个及两个以上的对称中心;
④若函数
,则: ![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/cbdd6b14556e4870b23f8c1dcfe4e3ad.png?resizew=373)
其中正确命题的序号为_____ (把所有正确命题的序号都填上).
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/21ac331a5b0e4b30b00b0bfc8770a14a.png?resizew=213)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/60cd76baa3484586a3fab13c0e7d75f7.png?resizew=41)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/ca5c67acb37e4344aca4776bfadbb516.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/9b22cb4ef676428f863b199d569eff7a.png?resizew=65)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/4aeca168313f4352a09e9371cf7fe4f8.png?resizew=67)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/bed6f27974b441c4901f45d1999f3071.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/4a1972c93ff74273a10d6e3a25e47433.png?resizew=75)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/ca5c67acb37e4344aca4776bfadbb516.png?resizew=61)
①任意三次函数都关于点
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/86f6c82c145b4959a4570a0ff352e9e1.png?resizew=104)
②存在三次函数
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/9263178288534479a8555ceebddfcf6e.png?resizew=64)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/bed6f27974b441c4901f45d1999f3071.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/4a1972c93ff74273a10d6e3a25e47433.png?resizew=75)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/ca5c67acb37e4344aca4776bfadbb516.png?resizew=61)
③存在三次函数有两个及两个以上的对称中心;
④若函数
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/6f90ab20b1234a0b8c61bb78c5026c69.png?resizew=155)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/cbdd6b14556e4870b23f8c1dcfe4e3ad.png?resizew=373)
其中正确命题的序号为
您最近一年使用:0次
2023高二·上海·专题练习
解题方法
2 . 已知函数
,其导函数
的图象经过点
,
,如图所示,则下列说法中正确结论的序号为_____ .
时函数取得极小值;
②
有两个极值点;
③当
时函数取得极小值;
④当
时函数取得极大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb885b96ddbf9889de11e3339ca7704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d0c99ddd028f0bc3b1d64924ff0f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d599059e6b2c918ab15ee22611b6962.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
您最近一年使用:0次
名校
3 . 已知命题p:存在x∈R,使tan x=3,命题q:
的解集是{x|
},现有以下结论:①命题“p且q”是真命题;②命题“p且¬q”是真命题;③命题“¬p或q”是假命题;④命题“¬p或¬q”是真命题.
其中正确结论的序号为____________ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec81343880dbd3be071f4c7d3ff014a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2668e1a2b859af2eee60d412a460ea.png)
其中正确结论的序号为
您最近一年使用:0次
名校
4 . 以下命题:
①“
”是“
”的充分不必要条件;
②命题“若
,则
”的逆否命题为“若
,则
”;
③对于命题
:
,使得
,则
:
,均有
;
④若 “
为假命题,则
,
均为假命题;
其中正确命题的序号为_______________ (把所有正确命题的序号都填上).
①“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679353e656a54993c041ebd39ec7b31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5c2d94fe3cf596668296a6a47f6acb.png)
②命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5c2d94fe3cf596668296a6a47f6acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679353e656a54993c041ebd39ec7b31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd10e37c3171c448ec8398703da1402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf9dbae6a5be3e8b9eb0534b6dfe8d9.png)
③对于命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bded4e08a5c75fd82f1868c9f4c5b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c573668c3e115816057a91b18130fd12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fd5acd3cea0866f64bc80ab4c14e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbdf492b48e5da4602f2bde199deae4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380b00e1533db2f67c6114c750e54269.png)
④若 “
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e58c01f501f63c4ceb6cc7bee677aa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
其中正确命题的序号为
您最近一年使用:0次
5 . 已知命题
:存在
,
;命题
:任意
.给出下列结论:
①命题“
且
”是真命题;
②命题“
且
”是假命题;
③命题“
或
”是真命题;
④命题“
或
”是假命题.
其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070054c0b4182ab7399ed56925844e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa7008bf62e50fb91eebe314103236f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81741f3452b6edb1687442016fd6326d.png)
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
②命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
③命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
④命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
其中所有正确结论的序号为( )
A.②③ | B.①④ | C.①③④ | D.①②③ |
您最近一年使用:0次
名校
6 . 下列叙述中正确的是
A.命题“若![]() ![]() ![]() ![]() |
B.命题“![]() ![]() ![]() ![]() |
C.“![]() ![]() |
D.正弦函数是奇函数,![]() ![]() |
您最近一年使用:0次
7 . 定义在区间
上的连续函数
,如果
,使得
,则称
为区间
上的“中值点”,下列函数:
①
;②
;③
;④
中,在区间
上“中值点”多于一个的函数序号为__________ .(写出所有满足条件的函数的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253f151ce30bbf38127910a39d134c19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1ebea8ae294b4009e703414fe49e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfc8affebde04424fd3e677e38a4dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0bc4f7ba817dca32178b65d9aab5c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e96546b3259afe4add331673fb835c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1319a9ca9b237a6be4d7b7e5c1aa1d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
您最近一年使用:0次
2017-11-01更新
|
491次组卷
|
4卷引用:北京西城35中2017届高三上学期期中数学试题
2020高三·全国·专题练习
解题方法
8 . 已知函数
的导函数的图象如图所示:①函数
在
上单调递增;②函数
在
上单调递增;③当
时,函数
取得极小值;④当
时,函数
取得极大值.则上述结论中,正确结论的序号为
![](https://img.xkw.com/dksih/QBM/2020/5/8/2458514486132736/2459046217252864/STEM/b602e9d9a5234dfab1302c91b934ef02.png?resizew=117)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2020/5/8/2458514486132736/2459046217252864/STEM/b602e9d9a5234dfab1302c91b934ef02.png?resizew=117)
A.①③ | B.②④ |
C.①④ | D.②③ |
您最近一年使用:0次
20-21高一·全国·课后作业
9 . 下列说法不正确的是________ .(只填序号)
①“x>5”是“x>4”的充分条件;
②“xy=0”是“x=0且y=0”的充分条件;
③“-2<x<2”是“x<2”的充分条件.
①“x>5”是“x>4”的充分条件;
②“xy=0”是“x=0且y=0”的充分条件;
③“-2<x<2”是“x<2”的充分条件.
您最近一年使用:0次
10 . 已知“
是
的充分不必要条件”、“
是
的必要不充分条件”、“
是
的充要条件”,则①
是
的充分不必要条件;②
是
的充分不必要条件;③
是
的必要不充分条件;④
是
的必要不充分条件其中正确结论的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
您最近一年使用:0次
2019-09-19更新
|
590次组卷
|
4卷引用:北师大版 新教材 2.1必要条件与充分条件2
北师大版 新教材 2.1必要条件与充分条件2北师大版 新教材 2.1必要条件与充分条件练习【新教材精创】1.2.1 必要条件与充分条件(2课时) 练习(2)-北师大版高中数学必修第一册(已下线)第一章 集合与常用逻辑用语(章末测试)-2020-2021学年一隅三反系列之高一数学新教材必修第一册(人教版A版)