名校
1 . 某中学为了加强学生数学核心素养的培养,锻炼学生自主探究的学习能力,他们以函数
为基本素材研究该函数的相关性质,某研究小组6位同学取得部分研究成果如下:
①同学甲发现:函数
的零点为
;
②同学乙发现:函数
是奇函数;
③同学丙发现:对于任意的
都有
;
④同学丁发现:对于任意的
,都有
;
⑤同学戊发现:对于函数
定义域中任意的两个不同实数
,
,总满足
;
⑥同学己发现:求使
的x的取值范围是
.
其中正确结论的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97d44c9fbbc4f7810ba9525fb5d0f577.png)
①同学甲发现:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b6a9ffffc0c461881b427c543924cd.png)
②同学乙发现:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③同学丙发现:对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998d1117b68d345ad988e86d1ec7724b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3543b9964b4ae5cf2b4012fd3fba62c8.png)
④同学丁发现:对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76acc9d0f0f0f6befbb9d9a64c497d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3366c6ea946d2ac63f32c38b559a8758.png)
⑤同学戊发现:对于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
⑥同学己发现:求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
其中正确结论的序号为
您最近一年使用:0次
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2 . 定义一个集合
的所有子集组成的集合叫做集合
的幂集,记为
,用
表示有限集
的元素个数.给出下列命题:①对于任意集合
,都有
;②存在集合
,使得
;③若
,则
;④若
,则
;⑤若
,则
.其中所有正确命题的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b6f8cb2faaad82b53b2a66ee817a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d06cb03804abed6015be7b8c2eaf83f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d155ac82ede43de3a78c0e21ad8b1ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc89dbec909e7cc1993a4428c2a11c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb493ec7ce294976af8a9dcf8c7b76a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1c5ac0da9e3a3d95e22a5231dac356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97be7d482888b030f7f8e0d75dbefcbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dcb88e461d0bb0707e404d7b9a7d0ca.png)
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3 . 设非空集合
满足:当
时,有
,给出如下四个命题:
①若
,则
;②若
,则
;③若
,则
;④若
,则
或
;
其中正确命题的序号为____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1499570d8771961eb973d275daf634c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8647b00cc8c8f35555c7d78cf2812c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561b2a3989ac7b46ec794c2ad9a60b47.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75f08f6a3c243392eb7601e3f736899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54078c4af5b305e26b8e3faa6423e67e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a99456afdc55c5bfab783784461db6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f79934108f80826ed066be5e28f9d6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93f67ef3e941be3b7685f92180735c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d9eca0a0dab41743fd9703a6ed8913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59b388ab091cefdc4f1254b57577575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
其中正确命题的序号为
您最近一年使用:0次
2020-02-01更新
|
1796次组卷
|
6卷引用:上海市复兴高级中学2017-2018学年高一上学期期中数学试题
名校
4 . 几位同学在研究函数
时给出了下面几个结论:①函数
的值域为
;②若
,则一定有
;③
在
是增函数;④若规定
,且对任意正整数
都有:
,则
对任意
恒成立.上述结论中正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3cec8fa96f67ace1278e5e8222812f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27822887caad20f3a075ca2fb74155c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66a88cbaed58dcf9671ba9240359b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47758fd032883f8fbded2ca2fe374df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cbee2209dc9c9fdabe42f52b06274a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
您最近一年使用:0次
2019-11-15更新
|
1284次组卷
|
4卷引用:北京市人大附中2019-2020学年高一上学期期中数学试题
名校
5 . 定义一个集合A的所有子集组成的集合叫做A的幂集,记为
,用
表示有限集A的元素个数,给出下列命题:(1)对于任意集合A,都有
;(2)存在集合A,使得
;(3)若
,则
;(4)若
,则
;(5)若
,则
.其中正确命题的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58e9d04712c58c5d5263ce2dc57e6db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d155ac82ede43de3a78c0e21ad8b1ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2417aa13f40290a76c016d0a98df411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f20b7ef52791fe87e3dda592f0afca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e51811366cdd659eac0091b31570152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1c5ac0da9e3a3d95e22a5231dac356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3b483dda0b49a0c990ea49ebc15b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aab24c041cbcac2e43af858c7d465e2.png)
A.(1)(2)(5) | B.(1)(3)(5) |
C.(1)(4)(5) | D.(2)(3)(4) |
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6 . 给出下列几种说法:
①若
,则
;
②若
,则
;
③
为奇函数;
④
为定义域内的减函数;
⑤若函数
是函数
(
且
)的反函数,且
,则
,其中说法正确的序号为_________ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431c9628813533a101cca8d8d47a2498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c9f990fc696c4b27d02cb9e92fe9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1bad1ee89378076927702a3b7385cf8.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd6b1b690425cf8dd7427f978774463.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c9320d009a17deba67f208c7d8be8c.png)
⑤若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9fc1d3731b6cde045ddfce45737248.png)
您最近一年使用:0次
2017-02-08更新
|
587次组卷
|
2卷引用:2016-2017学年云南曲靖一中高一上期中数学试卷
名校
7 . 已知函数f(x)=
(x∈(-1,1)),有下列结论:
(1)∀x∈(-1,1),等式f(-x)+f(x)=0恒成立;
(2)∀m∈[0,+∞),方程|f(x)|=m有两个不等实数根;
(3)∀x1,x2∈(-1,1),若x1≠x2,则一定有f(x1)≠f(x2);
(4)存在无数多个实数k,使得函数g(x)=f(x)-kx在(-1,1)上有三个零点
则其中正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2027a021b14e1dcf29fa38532580a318.png)
(1)∀x∈(-1,1),等式f(-x)+f(x)=0恒成立;
(2)∀m∈[0,+∞),方程|f(x)|=m有两个不等实数根;
(3)∀x1,x2∈(-1,1),若x1≠x2,则一定有f(x1)≠f(x2);
(4)存在无数多个实数k,使得函数g(x)=f(x)-kx在(-1,1)上有三个零点
则其中正确结论的序号为
您最近一年使用:0次
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8 . 已知函数
是定义在R上的偶函数,对任意
都有
,当
,且
时,
,给出如下命题:
①
;
②直线
是函数
的图象的一条对称轴;
③函数
在
上为增函数;
④函数
在
上有四个零点.
其中所有正确命题的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f1a3feca6218955446108ebad0a524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4f495208cdf5c885355f4f6bd0479e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7da51ea2568e743b9033d68422fb688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13909e2861ce1a0a64fc9e8b37463a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c673b22d6733412db522a0ebed4bb4.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b29c39bd1dbaabfde9a6ec596488e7.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880a8218c4b9d59523d1f35460c7a2e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8944a17591d1189dae246718f8ade55.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e91bb7011ad55f5f033433f6c19c4e7.png)
其中所有正确命题的序号为
A.①② | B.②④ | C.①②③ | D.①②④ |
您最近一年使用:0次
2018-12-03更新
|
625次组卷
|
3卷引用:【全国百强校】山东省济南第一中学2019届高三上学期期中考试数学(理)试题
9 . 关于函数
有下列命题:
①函数
的图象关于
轴对称;
②在区间
上,函数
是减函数;
③在区间
上,函数
是增函数;
④函数
的值域是
.其中正确命题序号为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2177a070128f64c9ad13343b816d29.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
②在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6ffa6fe2387ee19234c2ad0fcb92ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
③在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6e01f72f4ad539e048680eb2a7a9d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebb9b1a345e3913be8753c2f67563c0a.png)
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10 . 对于函数
(
为常数),给出下列命题:
①对任意
,
都不是奇函数;②
的图像关于点
对称;
③当
时,
无单调递增区间;④当
时,对于满足条件
的所有
总有
.其中正确命题的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b7dce45a779cdb448ade40551841bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](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/61e3829bae3f056b86ef3ce85b3e5536.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3002ad1638f25e355d70d5ab63e637f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d08550cde3e34887cfe734fabf7ada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7356328558b6434fadd38ecee38dae4e.png)
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