名校
1 . 若存在实常数k和b,使得函数
对其公共定义域上的任意实数x都满足:
恒成立,则称此直线
的“隔离直线”,已知函数
(e为自然对数的底数),有下列命题:
①
内单调递增;
②
之间存在“隔离直线”,且b的最小值为
;
③
之间存在“隔离直线”,且k的取值范围是
;
④
之间存在唯一的“隔离直线”
.
其中真命题的序号为__________ .(请填写正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef655f5ecd8e5f7798c6e6747ba999b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c34f5d4207fbf261bdbcf0926155230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c17624c234559f04f5d94b7077f169a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55adeff09c4d3d878785239f0bf2e27a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffc247e5237219a6169648a3d20483c9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b814095580525ddc8176650af6b73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b814095580525ddc8176650af6b73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c768cd9231a15caad0839f05d0f9207c.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8945c5bbc31c6617924d2c8aa29a091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17432e76b39908abe390d80f3c97f476.png)
其中真命题的序号为
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2018-09-02更新
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5卷引用:天津市滨海新区塘沽第一中学2024届高三上学期第一次月考数学复习卷4
名校
解题方法
2 . 有下列五个命题:
①函数
是偶函数;
②函数
的值域为
;
③已知集合
,
,若
,则a的取值集合为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d3b7b4642bbff9de52574b5759d95b.png)
④关于x的一元二次方程
的一个根大于1,一个根小于1,则实数m的取值范围是
;
⑤若
的定义域为R,且在
上是增函数,
,且
,则
与
的大小关系是
.
你认为正确命题的序号为:______ .
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd5cfa1d05b980bacc076827528dc7d.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3ac9347e120e918e4cfac7c231028d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c522f42745129cab20ae11ca3de72e.png)
③已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9e1e23d799232a161911aa6ec19d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b771cacb3d98e1ccf4ce62c62edcef78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d3b7b4642bbff9de52574b5759d95b.png)
④关于x的一元二次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6da4b05ca0a5bc6b5a062d628dc80e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d5505480b11358efcc87cda54627e7.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6027c04510bd896d5106eab149f31b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2f046b095637bb51f5bfc291ead8826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808026f1c80fda41d00c093ec2b6b231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1d0d29b98414f79ee9d7b728fbde49.png)
你认为正确命题的序号为:
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名校
3 . 已知集合
且
,定义集合
,若
,给出下列说法:①
;②
;③
;其中所有正确序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7591668ec1bc5e8b1f2c4dba4835d1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff997e9ff2d3b3cf4fe50ebbdccf5033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdf0492b29dae4fd12e6f1212cf9bbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1868c8a0db983c9cc2695294fa03b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9440f2d7ae0b2039fd68e50aec92d55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977fa544cb944b7ed8e25ca75481a467.png)
A.①② | B.①③ | C.②③ | D.①②③ |
您最近一年使用:0次
2021-12-07更新
|
1350次组卷
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10卷引用:天津市津衡高级中学2022届高三下学期4月月考数学试题
天津市津衡高级中学2022届高三下学期4月月考数学试题上海市进才中学2022届高三上学期12月联考数学试题上海市实验学校2023届高三上学期10月月考数学试题上海市进才中学2023届高三上学期11月月考数学试题上海市七宝中学2022届高三高考冲刺模拟1数学试题(已下线)第01练 集合(已下线)专题1-1 集合题型归类-1(已下线)专题01 集合与逻辑(模拟练)(已下线)第01讲 集合与逻辑-2(已下线)1.2集合的基本关系-高一数学同步精品课堂(北师大版2019必修第一册)
4 . 有以下判断:①
与
表示同一函数;②函数
的图象与直线
的交点最多有1个;③
与
是同一函数;④若
,则
.其中正确判断的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68af49a6c0839e9b8a1e35b44fbc437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d4f4e7b93e0162a9f61e96ed588874a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7c7debdf9905b44ff41d808a09d1ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183fa7f80a2e540194a98a4d984fec63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b865f26068dececc1f1040e1b5cc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a950e2c38979275b031d3e7e003b1df.png)
您最近一年使用:0次