名校
1 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
,且关于x的不等式
的解集包含
,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b97a895d594c8c58d9bd26be7e01188.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309c99d0acad93706ab168d1f9c584bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27487e41215bc3e3ae9a2a507114e1d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b0ac6b4f9198b5da88ed10ef875e369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de71d25c72850e383a4c841eed0db99.png)
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2021-12-09更新
|
365次组卷
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3卷引用:湖南省郴州市嘉禾县第一中学2020-2021学年高一上学期第三次月考数学试题
20-21高二·辽宁·期末
名校
解题方法
2 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d94048b839623c9a05df647dec9e6ce3.png)
A.若函数![]() ![]() ![]() |
B.若函数![]() ![]() ![]() |
C.若函数![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2021-07-21更新
|
1046次组卷
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4卷引用:辽宁省本溪市高二数学期末试题
名校
解题方法
3 . 已知函数
,
.
(1)求不等式
的解集;
(2)若
,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45afdf4d717bb03adac6b899c367acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255a5c136bef73f3bba4555cb0ebeb7e.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/945b658d5becfc2301a98d321c1a3603.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e324ccd71b0f019b2806af06acdb38fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2755189667eeb6f6efa2cf4d97e54c5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 定义区间
,
,
,
的长度均为
,其中
.
(1)若函数
的定义域为
值域为
写出区间
的长度的最大值;
(2)若关于x的不等式组
的解集构成的各区间长度和为6,求实数t的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bca6107700781f2967cca90909b1264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b38e7f2bfb602b10acf1e357ea5e7b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15bdc94f4132e650a7a70d2c15c3622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089531a2030c26a32c7d5d9766c370e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d9560a5a060961e957ffeff10a29aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ecebb31ea8ee6db240b42a5ee2c5e88.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7bd181849fca81216ad63aec025d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad6f652bdec0b1f40f6790a0609609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
(2)若关于x的不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0c66f95e453c84682460ed443ad2d1.png)
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名校
5 . 已知
是定义在
的奇函数,且
,若
,且
,有
恒成立.
(1)判断
在
上的单调性,并证明你的结论;
(2)解不等式
的解集;
(3)若
对所有的
,
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a547418f2bc38da0091f1a4a482fa5b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96bc2eeaca8a8ce4bcce2bff011a11bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d01645cf54dd71aa3d55f8f40c9bdaf.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2bce9a06ecdb5977187f8378436a58.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a97087acd5f4a7c147c9ef41e67849a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262d7da8f17131eef23addd1854b170d.png)
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2020-12-26更新
|
118次组卷
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2卷引用:浙江省金华市磐安县第二中学2020-2021学年高一上学期12月月考数学试题
6 . 已知函数
.
(1)当
时,求函数
的定义域;
(2)若关于x的不等式
的解集为
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d1d65b3102d13809bca1c83a8af8c2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73808266e0ab78996165a30a39f6c11f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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2021-01-09更新
|
233次组卷
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3卷引用:新疆2021届高三年级第一次联考数学(理)试题
名校
7 . 已知函数
(其中
,
均为常数,
且
)的图象经过点
与点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2a42e5f3758bf3459b5b47d7e3ba12.png)
(1)求
,
的值;
(2)求不等式
的解集;
(3)设函数
,若对任意的
,存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52fbc14bad2edac9a5e361eede29e30f.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/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48a644e1135f4ddcd2fe1a345769812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2a42e5f3758bf3459b5b47d7e3ba12.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4253355887e92bdddb4779c4d4db79a7.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc8b9907cabe0422aa5e2a7a8211ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204687ff0d957eece42db00f067f15a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5beb7b2c335be1738933501a10df407f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be814e1e66a7607de96e126aeffcdfdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-12-26更新
|
860次组卷
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4卷引用:江苏省泰州中学2020-2021学年高一上学期12月第二次质量检测数学试题
江苏省泰州中学2020-2021学年高一上学期12月第二次质量检测数学试题四川省眉山市彭山区第一中学2022-2023学年高一上学期期末考试数学试题江西省宜丰中学2022-2023学年高一上学期12月月考数学试题(已下线)专题06 对数函数2-期末复习重难培优与单元检测(人教A版2019)
名校
解题方法
8 . 给出下列两个命题:
命题
:函数
在定义域上单调递增;
命题
:不等式
的解集为
.
若“
且
”为假命题,“
或
”为真命题,求实数
的取值范围.
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e76b38cff30f3b18afd5007f7ca917d3.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bae8d4fab18fd5853910f430c092b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ff4a1f5d3ad9d7668fe555e70b774c.png)
若“
![](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/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
(
,
)
(1)求关于
的不等式
的解集;
(2)当
时,若不等式
对任意实数
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75fdedab1f3656575c7c05b86d59c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255dfc7f1b313fb01f007bddb9cf6be6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba62f475563ffcdbfbcdb44d02fb2174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eacf8f1fd8294fa3286c78ecce280d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 . 记不等式
的解集为
,函数
的定义域为
,若
,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f90af9ba1a3d2362ecba6775e1d0030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1ddeec6ffc952503e0b53dad8096d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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