解题方法
1 . 已知函数
是定义在
上的偶函数,且当
时,
.
(1)当
时,求
的表达式;
(2)求
在区间
上的最大值
的表达式;
(3)当
时,记
,试求函数
的零点个数.
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/467cfd8368094b9bb1b8e479a9b4bcf4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/fa6f28e46a904cd3a00839fb856788d2.png)
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/d997a850e812446eb01c53749c606caa.png)
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/22b0e4a3b4104fae95c806b6d356cb36.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/49930c4d50b64d28877f61d35e3f43fc.png)
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/467cfd8368094b9bb1b8e479a9b4bcf4.png)
(2)求
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/467cfd8368094b9bb1b8e479a9b4bcf4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/68668b32d59642c48522d23e8c2ec6d5.png)
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/abfd44d45a3345fb95e3f73853439203.png)
(3)当
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/65881e6708754f29ad4e7dd95e41a7ed.png)
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/8c882486a9ee48e1a5f7dd2f89b6fe57.png)
![](https://img.xkw.com/dksih/QBM/2016/7/28/1572945867087872/1572945872871424/STEM/0987ab05f66548659a006416df737440.png)
您最近一年使用:0次
2 . 已知
.
(1)设
的定义域为
,值域为
;
的定义域为
,值域为
,且
,求实数
的取值范围.
(2)若方程
在
上恰有两个解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623f2417cec21cf1e394749516707965.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19130ab26685fff62362378e6c5c3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19130ab26685fff62362378e6c5c3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1ce49f84f6ff0d137dc8fa0a65fdbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32569dcab2886d9b0ed3ab5643b9874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f43fa4166680dd9b258048c3372a5585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024高三下·全国·专题练习
3 . 已知函数
,
.
(1)若关于
的方程
只有一个实数解,实数
的取值范围为___________ ;
(2)若当
时,不等式
恒成立,求实数
的取值范围为_________ ;
(3)函数
在区间
上的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f496911266e86ff15d128b01657838cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38b8ee0eda4e045c51b2fb6518dc7457.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e48d083295a18dbf2ba261145bd37fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43920f5171ed31db2520ef00e4c5fc24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe958fdf039b2e2c47d685b7b5bb0ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
您最近一年使用:0次
14-15高三上·浙江湖州·期中
4 . 已知函数f(x)=x2﹣1,g(x)=a|x﹣1|.
(Ⅰ)若|f(x)|=g(x)有且仅有两个不同的解,求a的值;
(Ⅱ)若当x∈R时,不等式f(x)≥g(x)恒成立,求实数a的取值范围;
(Ⅲ)若a<0时,求G(x)=|f(x)|+g(x)在[﹣2,2]上的最大值.
(Ⅰ)若|f(x)|=g(x)有且仅有两个不同的解,求a的值;
(Ⅱ)若当x∈R时,不等式f(x)≥g(x)恒成立,求实数a的取值范围;
(Ⅲ)若a<0时,求G(x)=|f(x)|+g(x)在[﹣2,2]上的最大值.
您最近一年使用:0次
2016-12-04更新
|
348次组卷
|
5卷引用:2015届浙江省湖州中学高三上学期期中考试文科数学试卷
(已下线)2015届浙江省湖州中学高三上学期期中考试文科数学试卷2016届浙江省湖州中学高三上学期期中文科数学试卷2015-2016学年宁夏石嘴山三中高二下期中文科数学试卷12015-2016学年辽宁省沈阳二中高一4月月考数学试卷2015-2016学年宁夏石嘴山三中高二下期中文科数学试卷2
5 . 已知二次函数
,设
是函数
在
上的最大值.
(1)当
时,求
关于
的解析式;
(2)若对任意的
,恒有
,求满足条件的所有实数对
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb14058da8d104fb673455e76d3a43ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d8a4cf957865fad1cb648fcd2cbaa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bfcaf89d5ad8b0d32cfaecb8ec10e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595531a7c0e22a068c668db0fb45dae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057db09504e1a3e62cd7fc678a7c31ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d1d65f85b0e56ba77bd5fdbbb7fe38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177493bec6d26403c8d7f54151e72039.png)
您最近一年使用:0次
6 . 函数
的值域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca04b5ca51770f4a4ac6e12c898caf63.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
19-20高一·浙江·期末
7 . 设
,若函数
定义域内的任意一个x都满足
,则函数
的图象关于点
对称;反之,若函数
的图象关于点
对称,则函数
定义域内的任意一个x都满足
.已知函数
.
(Ⅰ)证明:函数
的图象关于点
对称;
(Ⅱ)已知函数
,若对任意的
,总存在
,使得
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5ca6a673a07fe420e017b3e24d3887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5ca6a673a07fe420e017b3e24d3887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb9948707cc99ebd8c167a463aafd62f.png)
(Ⅰ)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0973c965c9ae00beec9f04e8d2aecb02.png)
(Ⅱ)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3cca387f5f72ffe9bbcfe4a801f3ca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5d499666f20047af33ad30482efd37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff2ed174d15f39702542c273eb563b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0cc1a35f4aa0cfc29e5b7215bcff19d.png)
您最近一年使用:0次