解题方法
1 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若不等式
对
恒成立,求实数a的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995e2474f312e53340f0570178a26008.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af7e5cd65bc9d3051c2c72311ca8f88d.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed408d3a43e0c6f6939b87346ea308c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb099907c15816b4b329715e80aea70f.png)
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名校
解题方法
2 . 已知函数
.
(1)求不等式
的解集;
(2)若
,
,且
,求满足条件的整数
的所有取值的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e7557f89eb2c438cdea7fa97eb6551.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f501d134a31e3988e14d671605787648.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde28188ddd8e0e44d6bef6b40ced2d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e15c2171c1be9ec394494ad822a048d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db3272da23cb2de0aa20fbd07af26ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-01-06更新
|
467次组卷
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5卷引用:慕华优策联考2022-2023学年高三第一次联考理科数学试题
名校
3 . 已知
求
的解集;
若
,对
,恒有
成立,求实数x的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9f98e0411f336e55b6de86afbc2e55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db466e4b4654c70bf79fa77d293b38b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39933bbb510526b146ebf74a1b239054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16317ba64f5499277b6ed6eb1e890904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6010d674b35f17c138d161b09f7ee713.png)
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4 . 设函数
,不等式
的解集是
.
(1)求实数
的值;
(2)若
对一切
恒成立,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda0d32c2d821c5f9d967f0c9470bc68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d24227741bf427e6bd73490baf3c3d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa85800cca03f7451f5cf2f9879cc0bc.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32bcb69e181661c9b1803a83004adcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2017-02-08更新
|
427次组卷
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3卷引用:2015-2016学年重庆市巴蜀中学高二理下学期期末数学试卷
名校
解题方法
5 . 已知函数
.
(1)
,不等式
恒成立,求实数
的范围;
(2)若关于
的不等式
在
有解,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc97f0fd545876b45132a9918ad9f6c1.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346a8575de755941b7de759f17449d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a89be1009f96de083175f681f6ae1d.png)
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解题方法
6 . 已知x,y都是正数,且
.
(1)分别求x,y的取值范围;
(2)求
的最小值及此时x,y的取值;
(3)不等式
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04645353d91a5beb6d02c06bb62683a9.png)
(1)分别求x,y的取值范围;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fc838e1477179b36ca7481ee2cc1e8.png)
(3)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcebe10ae382d181636f14889c24f15.png)
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解题方法
7 . 若函数
,
.
(1)
,都有
成立,求
的范围;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d601b9103e7c398bbc986235e63ab4d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96cbb641b58e6fe9f8030f69312d2d6.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3a36d957cb83768b5f6a2d0fac763e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
8 . 对于函数
及正实数
,若存在
,对任意的
,
恒成立,则称函数
具有性质
.
(1)判断函数
是否具有性质
?并说明理由;
(2)已知函数
具有性质
,求实数
的取值范围;
(3)如果存在唯一的一对实数
与
,使函数
具有性质
,求正实数
的取值情况.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cf3765e5650555113994da8771e3e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b80225b1c0e43c14d90ee75f50f9817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5cc7b3d2601cd882e374f38df5e254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326452bda2f207bbb661b4e805fd7f59.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a3b559d22b7ab01ecd87e99a5fdb01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9beb2fb34710397280c318e5392e19f.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20be954eb33ebab545112d07e04c794b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714efc5adfb2e2910fb190a299215bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)如果存在唯一的一对实数
![](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/2bb2c1e778d749382c00d0cca83cfb71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326452bda2f207bbb661b4e805fd7f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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2022-01-24更新
|
333次组卷
|
2卷引用:上海市闵行区2021-2022学年高一上学期期末数学试题
名校
解题方法
9 . 已知集合
.
(Ⅰ)若存在
使不等式
成立,求
的取值范围;
(Ⅱ)取
为(Ⅰ)所求范围中的最小正整数,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41f431f45011940ec55205d8865b701.png)
(Ⅰ)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dbd1829913e96434a449880e523f804.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(Ⅱ)取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb37562ba298e7243e61995a58947d0.png)
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2020-09-26更新
|
108次组卷
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4卷引用:河南省2020-2021学年上学期高中毕业班阶段性测试(一)理科数学试题
名校
10 . 函数
.
(1)根据
不同取值,讨论函数
的奇偶性;
(2)若
,对于任意的
,不等式
恒成立,求实数
的取值范围;
(3)若已知
,
. 设函数
,
,存在
、
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
(1)根据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa43aa41923960f8af7e8f1b1bd1695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7aede2e847d081811f62ce462906167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64587952d138b00a1c463df835f5500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28e384ba050b238e11f7c74d3002aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e8dc00cdc96860c9cbf8ac09677fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2019-12-09更新
|
659次组卷
|
3卷引用:上海市新川中学2018-2019学年高三上学期10月月考数学试题