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
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解题方法
2 . 下列结论:
①若
,则“
”成立的一个充分不必要条件是“
,且
”;
②存在
,使得
;
③若函数
的导函数是奇函数,则实数
;
④平面上的动点
到定点
的距离比
到
轴的距离大1的点
的轨迹方程为
.
其中正确结论的序号为_________ .(填写所有正确的结论序号)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec124eb33e5ab4601b4b70f70913b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5abce09e73e31b37961de3da8fa38e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ef778b8c90778644b6f34d2f851b0.png)
③若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f31aef1ce68c1bae850d4b1633da6f66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
④平面上的动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
其中正确结论的序号为
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2018-03-08更新
|
595次组卷
|
4卷引用:河南省豫南九校2018届高三下学期第一次联考试题文科数学
河南省豫南九校2018届高三下学期第一次联考试题文科数学河南省豫南九校2018届高三下学期第一次联考文数试题(已下线)2019年一轮复习讲练测【新课标版理】1.2 命题及其关系、充分条件与必要条件(已下线)2019年一轮复习讲练测【新课标版文】1.2 命题及其关系、充分条件与必要条件(测)
名校
3 . 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,![]() ![]() |
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2010·黑龙江·三模
4 . 给出下列四个命题:
①设
,则
且
的充要条件是
且
;
②已知
,若
,则满足
的概率为
;
③命题“
”的否定是“
”;
④已知
个散点
的线性回归方程为
,若
,(其中
,
),则此回归直线必经过点
.
则正确命题序号为__________________ .
①设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4052657cfcf31f17fcd91b20d990cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8325e253d8c7d9f93de39db5c4b20a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e8836124e3cb45de298265c3265ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b281d412ab1d0d5d172d79a7d9fb588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0031633e2cb3db1d8ec0ec0fed4609.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e3409a0f5a147d1d7f210cb76d9c9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79eea5c0bf58526a18067c2028869870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b022bff07068b3e9cbcb091bb347a9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32544f2492735703d3899efc6bd71865.png)
③命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0076626d24123c70424b358d581fd2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a54e2fbb189c3dc05f9507ccdd6b43cb.png)
④已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f76fa9d4288753bc5facbcd1bf79428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708973e41ee9739f6fc8cd64c8006e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600de07613f370932c6a630acb672913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3126dae63b1642eb3a14b95aaf2300aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc703200e5471d3a5a23a2c69574c430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bda105ec292aac7ab1485bd5031783fb.png)
则正确命题序号为
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名校
5 . 下列说法中,正确命题的序号是________ .
①若命题“
”为真命题,则
,
恰有一个为真命题;
②命题“
,
”的否定是“
,
”;
③设
,
为非零向量,则“
”是“
与
的夹角为锐角”的充要条件;
④命题“函数
仅有一个零点”的逆否命题是真命题.
①若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e48ebdd742cb5d310c21a384d599bc6.png)
![](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/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689c0ea661cce664e28a2f365715cbc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02491f9709f00a1bc169278fbe01f576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95b145698b0107112cef031d8af566ec.png)
③设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbc0945b4e1962e66f6f7e7f6af235d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
④命题“函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d730aeba9a7fe55d9bd8aaf2c165320.png)
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2022-03-10更新
|
569次组卷
|
3卷引用:陕西省渭南市2022届高三教学质量检测(一)理科数学试题
名校
6 . 已知
均为正数,且
,甲、乙两位同学作出如下判断:
甲说:
中至少有一个数小于4;
乙说:若
,则a,b,c中至少有一个数不大于1
则关于甲、乙两位同学的判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2b568389d1e35b54532c631afc3aef.png)
甲说:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
乙说:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39838a8346fd5e2de93ed43fc276d2b.png)
则关于甲、乙两位同学的判断正确的是( )
A.甲错误、乙错误 | B.甲错误、乙正确 |
C.甲正确、乙错误 | D.甲正确、乙正确 |
您最近一年使用:0次
2023-04-25更新
|
321次组卷
|
2卷引用:贵州省凯里市第一中学2023届高三三模数学(理)试题
解题方法
7 . 下列四种说法:
①命题“
,使得
”的否定是“
,都有
”;
②设
、
是简单命题,若“
”为假命题,则“
” 为真命题;
③若
是
的充分不必要条件,则
是
的必要不充分条件;
④把函数
的图象上所有的点向右平移
个单位即可得到函数
的图象.
其中所有正确说法的序号是_________________________ .
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8644dcf399ddfb178c88fd2f45965c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a74b4a1af4670dbcc18b9d6af6bd9fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58264e5012ee475894984e6032968d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/774922c30b41d752ce495adc20f2dd05.png)
②设
![](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/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d4eed113aa69a7d973c6410bae7ddf.png)
③若
![](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/30fd5acd3cea0866f64bc80ab4c14e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9aacc4fa7d44974d18a3fb9e290b5c.png)
④把函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09301df9fd58ccc7343a9a6383a1ea67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c487fec20bd809e0baf5cb39afe8979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66492e9d06b2983fb17503bfb048bc9.png)
其中所有正确说法的序号是
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8 .
四名工人一天中生产零件的情况如图所示,每个点的横、纵坐标分别表示该工人一天中生产的Ⅰ型、Ⅱ型零件数,有下列说法:
①四个工人中,
的日生产零件总数最大
②
日生产零件总数之和小于
日生产零件总数之和
③
日生产Ⅰ型零件总数之和小于Ⅱ型零件总数之和
④
日生产Ⅰ型零件总数之和小于Ⅱ型零件总数之和
则正确的说法有__________ (写出所有正确说法的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
①四个工人中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
则正确的说法有
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/24/6c8cc327-3608-4562-9d55-51e947524781.png?resizew=198)
您最近一年使用:0次