名校
解题方法
1 . 已知命题p:“
,
”是真命题,
(1)求实数a的取值所构成的集合A;
(2)在(1)的条件下,设不等式
的解集为B,若
是
的必要条件,求实数b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be88e37d6666d2e615e22cde39efe88.png)
(1)求实数a的取值所构成的集合A;
(2)在(1)的条件下,设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83ef2857378924331154d82aaf29c96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
您最近一年使用:0次
名校
2 . 已知
.
(1)若关于
的不等式
解集为
,求实数
的取值;
(2)若关于
的不等式
的解集中恰有3个整数, 求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75fcd8a1a345411490f0a005af928fa.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2db0b5848232bc743bc9d4c9a1a69b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2010·浙江·一模
解题方法
3 . 已知函数![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/5e64765754e44a58816d5b46210b9a89.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/bb267d8852d6434d908feeeec0175a8f.png?resizew=234)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/5e64765754e44a58816d5b46210b9a89.png?resizew=12)
.
(Ⅰ)求函数
的单调区间;
(Ⅱ)若函数
的图像在点
处的切线的斜率为
,问:
在什么范围取值时,对于任意的
,函数
在区间
上总存在极值?
(Ⅲ)当
时,设函数
,若在区间
上至少存在一个
,使得
成立,试求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/5e64765754e44a58816d5b46210b9a89.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/bb267d8852d6434d908feeeec0175a8f.png?resizew=234)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/5e64765754e44a58816d5b46210b9a89.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/5e64765754e44a58816d5b46210b9a89.png?resizew=12)
(Ⅰ)求函数
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/eabb122f339b4673a115fe5493b27314.png?resizew=36)
(Ⅱ)若函数
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/9961606044494457a31de3585628468b.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/d3893716caf54b31b91c6acfd4d61ba2.png?resizew=60)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/20d90ee520a44200b95624553199767f.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/37649954997f4e31818df3de7b59f01a.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/9409476e3b564e78a828efda9522c030.png?resizew=52)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/96a5d13fb62749ba9ae7c80cef0bb276.png?resizew=172)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/18cc7564ddac4050b8a9f2badb6d14d2.png?resizew=32)
(Ⅲ)当
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/f1fb9026bfef46ca8ad18667df9ff3dc.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/35e2ec5761734780b95ccd82108c3ac9.png?resizew=184)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/02f0912425bf4d37a37ab981974e9134.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/3f65fc70aa3649b0b80daee804cd5bea.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/671a0b8b01324a4082b28231e1c55ee2.png?resizew=95)
![](https://img.xkw.com/dksih/QBM/2011/12/31/1570670850367488/1570670856126464/STEM/6ae026eb70fb47c6b9379a339c371c56.png?resizew=16)
您最近一年使用:0次
10-11高三上·浙江金华·阶段练习
解题方法
4 . 设二次函数
满足
,且对任意实数
,均有
恒成立.
⑴求
的表达式;
⑵若关于
的不等式
的解集非空,求实数
的取值的集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
⑶若关于
的方程
的两根为
,试问:是否存在实数
,使得不等式
对任意
及
恒成立?若存在,求出
的取值范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae0872d8d14957d55c723d5ec138a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d1a014eb98c5f928d56abc46ea52cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbadc132ecef93a01821ad7ad9d69644.png)
⑴求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
⑵若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87bd25f0e579fbe9f51c800fcd2769a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
⑶若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac302207cc784a9c13d2d5b8d848b12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdab3ce88fc3c17e32437dd7fc04fc0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13d2509e1b52b43687d577be80aa2a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ea85268fba3990417ac0528e4dae0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
5 . 已知函数f(x)=a+log2(x2+a)(a>0)的最小值为8,则实数a的取值属于以下哪个范围( )
A.(5,6) | B.(7,8) | C.(8,9) | D.(9,10) |
您最近一年使用:0次
2020-09-17更新
|
328次组卷
|
10卷引用:2019年一轮复习讲练测 2.7 函数与方程【浙江版】【测】
(已下线)2019年一轮复习讲练测 2.7 函数与方程【浙江版】【测】湖南省永州市2018届高三下学期第三次模拟考试数学(文)试题(已下线)《考前20天终极攻略》5月17日 函数的概念、性质、图象(基本初等函数)【理科】(已下线)《考前20天终极攻略》5月17日 函数的概念、性质、图象(基本初等函数)【文科】【区级联考】广东省深圳市宝安区2018-2019学年高一上学期期末考试数学试题(已下线)专题2.8 函数与方程(练)【文】-2020年高考一轮复习讲练测(已下线)专题2.8 函数与方程(练)【理】-《2020年高考一轮复习讲练测》四川省双流中学2018-2019学年高三3月月考数学(理)试题(已下线)测试卷06 函数与方程-2021届高考数学一轮复习(文理通用)单元过关测试卷(已下线)考点14 函数与方程(考点专练)-备战2021年新高考数学一轮复习考点微专题
名校
解题方法
6 . 已知不等式
的解集为
,函数
的定义域为
.
(1)求
;
(2)若
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d688d789811c277564efef83840fd12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd2842684cbf7a9d2160c22819c4317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
7 . 已知实数
为常数,且
,函数
,甲同学:
的解集为
:乙同学:
的解集为
;丙同学:
存在最小值.在这三个同学中,只有一个同学的论述是错误的,则a的范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3abfa7f173dc46ec1c5f054547333563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6d8d3a028094e677b6a48855a93d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6d8d3a028094e677b6a48855a93d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 已知不等式
的解集为
,若
中只有唯一整数,则称A为“和谐解集”,若关于
的不等式
在区间
上存在“和谐解集”,则实数
的可能取值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8870876779e79db7033f2617b8535eb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083479b94380e8d659eff92d10a1989d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-02-06更新
|
1159次组卷
|
5卷引用:浙江省衢州市乐成寄宿中学2022-2023学年高一下学期第一次月考数学试题
名校
解题方法
9 . 在
上定义运算
,若关于
的不等式
的解集是集合
的子集,则整数
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef6546a5cfb61e42f555aeaba217486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019cd3c16f026873a8fcd82260195527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc74efe223dfce7cadb80d651fe6981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.0 | B.1 | C.![]() | D.2 |
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2021-11-08更新
|
558次组卷
|
4卷引用:浙江省金华市曙光学校2021-2022学年高一上学期期中数学试题
浙江省金华市曙光学校2021-2022学年高一上学期期中数学试题河南省濮阳市范县第一中学2021-2022学年高一上学期第二次月考检测数学试题(已下线)专题10 集合间的基本关系-2022年暑假初三升高一数学衔接知识自学讲义(人教A版2019)云南省曲靖市罗平县第二中学2021-2022学年高一上学期第二次月考数学试题
20-21高一·浙江·期末
名校
10 . 若不等式
的解集是
的子集,则实数
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8510fd78d381ae4095cb6a84475da33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cc4eddd3a646184eecda1f72c3e759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-01-15更新
|
502次组卷
|
3卷引用:【新东方】双师92