1 . 已知函数
.
(1)求不等式
的解集;
(2)若对任意的实数
,都有
成立,求
的取值取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ac4d49d986aa80ef1650e0490369d5.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea998345984b6d1bbffa1e667365ed6.png)
(2)若对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc3486a572b19bf8d040d28201c7282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-02-29更新
|
144次组卷
|
2卷引用:1号卷·2022年高考最新原创信息试卷(五)文数
名校
解题方法
2 . 已知函数
.
(1)若关于x的不等式
的解集为
,求
的取值范围;
(2)若函数
在
上是减函数,且对任意的
,总有
成立,求实数m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578fa7de2bb49776a4e015159848ef29.png)
(1)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578fa7de2bb49776a4e015159848ef29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be381da62d4a042476aa11dbd5824e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7777890f78b6f026e4789b0626e9e3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588b11ff8f97d4d15019956921398096.png)
您最近一年使用:0次
名校
解题方法
3 . 下列选项中正确的有( )
A.若集合![]() ![]() ![]() ![]() |
B.若不等式![]() ![]() ![]() ![]() |
C.已知函数![]() ![]() ![]() ![]() |
D.已知一元二次方程![]() ![]() ![]() ![]() |
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4 . 已知使不等式
对于一切实数
恒成立的实数
取值的集合为
,关于
的不等式
的解集为
.
(1)求集合
;
(2)若
,且
是
的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd96bfc711d21f7cb2e8076c118f6f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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/176f0ad4b9d581715dff883b0e414044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7da3317af42e7e05d771b1b1187976.png)
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
5 . 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
解题方法
6 . 已知函数
,
.
(1)若不等式
的解集为空集,求实数
的取值范围;
(2)若
,且
的解集为
,求
的最大值,并写出此时
和
的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ad5cc869ac38f1afa554aac6eee3a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4741556c029b5811318746d837cf246.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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名校
7 . 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
名校
解题方法
8 . 下面命题正确的是( )
A.不等式![]() ![]() |
B.不等式![]() ![]() |
C.不等式![]() ![]() ![]() ![]() |
D.函数![]() ![]() ![]() ![]() |
您最近一年使用:0次
2022-12-04更新
|
489次组卷
|
2卷引用:辽宁省沈阳市和平区东北育才学校2022-2023学年高三上学期11月月考数学试题
名校
9 . (1)已知
,不等式
的解集为(0,5).
①求
的解析式;
②若对于任意的x∈[-1,1],不等式
恒成立,求t的取值范围.
(2)若不等式
对满足
的所有
都成立,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212c6ebd9706154afcb5470c82338e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b817338735d4c23394d6601a7ea4ce.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②若对于任意的x∈[-1,1],不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930b2eace87389cc50d47d8e86c3f603.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4476ebd7c86f108575c22bc49c24572e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b31cf2caddb8555c14f682e94b79b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4717e4827480f0f6f4ded85e52eab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ffb694021b52653de5141ae27ba6d0.png)
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2010·浙江·一模
解题方法
10 . 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)
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