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
2 . 对下列命题:
(1)
的最小值为4;
(2)若
是各项均为正数的等比数列,则
是等差数列;
(3)已知
的三个内角
,
,
所对的边分别为
,
,
且最大边长为
,若
,则
一定是锐角三角形;
(4)若向量
,
,且
是锐角,则实数的取值范围为
;
其中所有正确命题的序号为_________ (填出所有正确命题的序号).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92764eb4fd255796e92c2c4db5909efc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc71a2fd8c6b263feea5ff5d6a36121.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95563a79e3b68c597ae1e5167516ff88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(4)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62eed5791457162b13ee2441e4ce5a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c0e5d846bda84a19077cc7ad8f4ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe6d51b27236dbd7f32f5e1ac86c9e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a891eb0f07654c6dda4380b2fae38e8a.png)
其中所有正确命题的序号为
您最近一年使用:0次
2020-07-25更新
|
502次组卷
|
2卷引用:四川省眉山市2019-2020学年高一下学期期末考试数学试题
3 . 给出下列结论:
①设平面α与平面β相交于直线m,直线a在平面α内,直线b在平面β内,且b⊥m,则α⊥β是a⊥b的必要不充分条件.
②在区间[-1,1]上随机取一个数x,则
的值介于0到
之间的概率为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
③从以正方体的顶点连线所成的直线中任取两条,则所取两条直线为异面直线的概率为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f053ede9bc7e812d21128cc31a59ad3.png)
④将4个相同的红球和4个相同的蓝球排成一排,从左到右每个球依次对应的序号为1,2,3,…,8,若同色球之间不加区分,则4个红球对应的序号之和小于4个蓝球对应的序号之和的排列方法种数为31.
其中正确结论的序号为___________ .
①设平面α与平面β相交于直线m,直线a在平面α内,直线b在平面β内,且b⊥m,则α⊥β是a⊥b的必要不充分条件.
②在区间[-1,1]上随机取一个数x,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e51b2fb9409bd4790ca95eb01fa8d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
③从以正方体的顶点连线所成的直线中任取两条,则所取两条直线为异面直线的概率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f053ede9bc7e812d21128cc31a59ad3.png)
④将4个相同的红球和4个相同的蓝球排成一排,从左到右每个球依次对应的序号为1,2,3,…,8,若同色球之间不加区分,则4个红球对应的序号之和小于4个蓝球对应的序号之和的排列方法种数为31.
其中正确结论的序号为
您最近一年使用:0次
解题方法
4 . 在下列命题中
①函数
在定义域内为单调递减函数;
②函数
的最小值为
;
③已知定义在
上周期为4的函数
满足
,则
一定为偶函数;
④已知函数
,则
是
有极值的必要不充分条件;
⑤已知函数
,若
,则
.
其中正确命题的序号为______________ (写出所有正确命题的序号).
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ede389b43c78417912542746d91d00.png)
②函数
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572051952041984/1572051957383168/STEM/1405346a0a20465795c2deddac96cdaa.png?resizew=132)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572051952041984/1572051957383168/STEM/414997acf4274313b1f096344c63feff.png?resizew=33)
③已知定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c01ab30854f54c2514d1a05f779b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75044e0301ef9def5c1a1c8e6f2cba77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
⑤已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52142482df6bbd431d300f011e3ccb12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ecda7bfb0a2043306bf7707a136ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356704dd58441206abb070f2b8fc0cc8.png)
其中正确命题的序号为
您最近一年使用:0次
名校
5 . 给出以下命题:
(1)已知回归直线方程为
,样本点的中心为
,则
;
(2)已知
,
与
的夹角为钝角,则
是
的充要条件;
(3)函数
图象关于点
对称且在
上单调递增;
(4)命题“存在
”的否定是“对于任意
”;
(5)设函数
,若函数
恰有三个零点,则实数m的取值范围为
.
其中不正确 的命题序号为______________ .
(1)已知回归直线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25df027f2bdf65a1ffdd03fc2608377.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92418f910b93502041350259b221ea34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb65513075a26d16bb69f2ed550c0791.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5112cbffb04be482ca0b09bdb9b5df35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ba49b31a5afc390ac8835fe5ebbb66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1d1d16dc32dfbe9bb9154e97664341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c16c64869cf25374d05b130415a5013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e10dc60362ba61cd036365eb4d2caa.png)
(4)命题“存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25e2acc37cf685dbd258ef9cffd40a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffa64caceb1a517814c8756c0246bc8.png)
(5)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ae58ac8693a7f5f7570b6cbdb5c07c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e409849c921f4868c5a78abffb9f74bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27cf818dd484cc4cebd40a5f28eb8e9f.png)
其中
您最近一年使用:0次
2020-07-11更新
|
446次组卷
|
5卷引用:云南省红河州2019届高三复习统一检测数学(文)试题
云南省红河州2019届高三复习统一检测数学(文)试题(已下线)第一单元 集合与常用逻辑用语(A卷 基础过关检测)-2021年高考数学(文)一轮复习单元滚动双测卷云南省红河州2019届高三高考数学(文科)模拟试题四川省成都市第十二中学(川大附中)2021届高三第二次模拟数学试题(已下线)课时04 命题的形式及等价关系-2022年高考数学一轮复习小题多维练(上海专用)
名校
6 . 给出下列四个命题:①
;②
;③
;④
.其中正确命题的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b584a3e3b56f6bdd00005e90ebd026ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7fe60400cb9f2f6898b3467e87dd845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3772848a0a39d7faabc606276adc47f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8386e5f04cd357c2f671449d3255b20.png)
您最近一年使用:0次
名校
7 . 给出以下四个命题:
①若
,则
;
②已知直线
与函数
,
的图像分别交于点
,则
的最大值为
;
③若数列
为单调递增数列,则
取值范围是
;
④已知数列
的通项
,前
项和为
,则使
的
的最小值为12.
其中正确命题的序号为__________ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d6063ee5703cb140dfc69c9cde0bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bfa5bb8b7d70c8dbf01bbc01d2b2019.png)
②已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8feb6516836167daab0bad41689b5d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac35b1e8a952aac4f4cdaaf02d868d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
③若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c33b314a69d8a715bfd7e1481f0463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb74292380b8df9519b9c33bfd564f8.png)
④已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c4593f37ce523cfa8fb5c102240319.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/49763402b2f2023f0ba64c37924267d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
其中正确命题的序号为
您最近一年使用:0次
2020-05-22更新
|
779次组卷
|
3卷引用:四川省宜宾市叙州区第二中学校2020-2021学年高三上学期开学考试数学(理)试题
名校
8 . 给出下列命题:
①函数
是奇函数;
②存在实数
,使
;
③若
,
是第一象限角且
,则
;
④函数
在
上的值域为
;
⑤函数
的图象关于点
成中心对称.其中正确命题的序号为_________ .
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5508fb648f060f1128ed2a95b66c048.png)
②存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f7da37edc88e1c82456f2c6d072535.png)
③若
![](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/90df641ab645927ee577e79faf18dcdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890105f677da9bf3d5483f5344065b35.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c20c28856587dc8cd4e0842a86709f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b67284ca9982944fd8bbe0a49102669.png)
⑤函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e13df8acedad03eb7d6f5f466332cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ebb7b00c8246c9a938bdbf40b4e7fe.png)
您最近一年使用:0次
2020-02-20更新
|
313次组卷
|
2卷引用:四川省泸州市泸县第五中学2019-2020学年高一下学期期中考试数学试题
名校
9 . 给定下列两种说法:①已知
,命题“若
,则
”的否命题是“若
,则
”,②“
,使
”的否定是“
,使
”,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a57e060f61f7efa54982bda67db483a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f9a67d0c6387f646e9041cc37ef63d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb1e6ee974755d089ddfa842fb4d4b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84af94191072d9fed1e0576ca0b8e5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c7a319f1fb9ef4cd6bd9eb5ab0c53b.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
A.①正确②错误 | B.①错误②正确 | C.①和②都错误 | D.①和②都正确 |
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2020-04-21更新
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468次组卷
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6卷引用:河南省天一大联考2018-2019学年下学期高二年级期末测试理科数学试题
河南省天一大联考2018-2019学年下学期高二年级期末测试理科数学试题河南省天一大联考2018-2019学年下学期高二年级期末测试文科数学试题河南省林州市第一中学2019-2020学年高二6月月考数学(文)试题河南省林州市第一中学2019-2020学年高二6月月考数学(理)试题(已下线)专题07+1.5.1+全称量词与存在量词(基础练)-2020-2021学年高一数学十分钟同步课堂专练(人教A版2019必修第一册)四川省叙永第一中学校2024届高三上学期一诊数学(理科)试题
解题方法
10 . 给出下列说法:
①数列
,
,
,
,
…的一个通项公式是
;
②当
时,不等式
对一切实数x都成立;
③函数
是周期为
的奇函数;
④两两相交且不过同一点的三条直线必在同一个平面内.
其中,正确说法序号是_________ .
①数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b12efb03327f461e868b2ea433f9b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce0249a3ff99c083fa4421877549db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf4e57a8023222d2cdf88fad75ac496.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47212543d8a4ecf45f9509fe5ab8733b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6d03dfc5b4ce38e17403b3b49fdc15.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8250a1f5d4211d5dc1f47e1855245916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
④两两相交且不过同一点的三条直线必在同一个平面内.
其中,正确说法序号是
您最近一年使用:0次