解题方法
1 . 已知函数
的定义域为
.
(1)当
时,求
;
(2)若存在
,使得不等式
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec26b0a8e8a13df16937758fa5654601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a9f7884d2a1a1f304d8d468d8dd47c.png)
您最近一年使用:0次
2024-02-13更新
|
395次组卷
|
3卷引用:陕西省2024届高三教学质量检测(一)文科数学试题
解题方法
2 . 已知函数
,其中
为常数.
(1)求
的最小值;
(2)若
,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4490503c29b1743ca34b05e900d8730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef118cce5443a4d794561f5ef8e1fcc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251b025e640117a755903935f833493.png)
您最近一年使用:0次
解题方法
3 . 已知函数
.
(1)求不等式
的解集;
(2)证明:
,
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea8280663b3b97e534043b0f12ad6f46.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4827f79723c41bd35bf4871bcac58907.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988382a54d3c382a9cef7ed796551f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ba8d2cbae3db03e83b60f5323d5b5c.png)
您最近一年使用:0次
2023-12-18更新
|
144次组卷
|
2卷引用:西藏自治区拉萨市2024届高三一模数学(文)试题
名校
解题方法
4 . 已知函数
.
(1)求不等式
的解集;
(2)若不等式
有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1debe397918fadd5447d6a972a7f223a.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f512c01a8f247e368fcd762ba97b13.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ff0aab94a54b81303868d60cfc223a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-11-29更新
|
69次组卷
|
3卷引用:陕西省榆林市第一中学2024届高三第一次模拟考试理科数学试题
名校
5 . 已知
:
,
:
.
(1)若
是真命题,求对应
的取值范围;
(2)若
是
的必要不充分条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab98a8985fa486cf57221143e00c8e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1972ce5a7967f20b02e06f16cb37f8a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)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/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-09-11更新
|
1680次组卷
|
7卷引用:陕西省西安市第一中学2024届高三第三次模拟文科数学试题
名校
解题方法
6 . 已知函数
,
.
(1)求函数
的最小值;
(2)设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a483b28b0a51697e711e832a5ca3d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0bc6775d59e23a45d1c4357d5ffe228.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cfcc567b95a320abcb25509923cd001.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76acc9d0f0f0f6befbb9d9a64c497d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef791a5215dfbde16dea9499dda72a53.png)
您最近一年使用:0次
2023-07-27更新
|
302次组卷
|
8卷引用:河南省商丘市等2地2023届高三三模数学(理)试题
解题方法
7 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)当
时,若
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5663b67b9be5cabd8b7f73cb6a0f2ee2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8004ba35a95a6f588f87beb8b4d899f9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f325b0a20f1c85294573dd73201d0cc8.png)
您最近一年使用:0次
2023-05-06更新
|
203次组卷
|
4卷引用:湘豫名校联考2023届高三5月三模文科数学试题
名校
8 . 已知定义在R上的函数
的最小值为p.
(1)求p的值;
(2)设
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1d80ffd3879d8bb5e9c47c40843a0cd.png)
(1)求p的值;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baca30d4248a82988890bd032d159b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d834766c5df581256bb991812f32ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a07f68b6ad8f8623a7ac2df6570159.png)
您最近一年使用:0次
2023-05-01更新
|
488次组卷
|
7卷引用:陕西省咸阳市2023届高三三模文科数学试题
解题方法
9 . 已知
,
,
为正数,函数
.
(1)求不等式
的解集;
(2)若
的最小值为
,且
,求证:
.
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/861dddb12c0069ed621336146013cd7a.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062844ed8f0949e6717bb6fd0b84fe46.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86be2de99fbf7f99cd54ab399146b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f80cecb1ff77ae430f9d946e24b31fe.png)
您最近一年使用:0次
2023-04-25更新
|
280次组卷
|
3卷引用:新疆喀什地区普通高考2023届高三适应性检测数学(文)试题
名校
解题方法
10 . 设函数
,
.
(1)当
时,求不等式
的解集;
(2)对任意
,恒有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3916ab6fe995e3af176b1a694f1fcf20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9483800e1d955faf19936ac9b35ab4b.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43834e5aa79d2ddb2d44e95ed0ef9faf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-04-21更新
|
416次组卷
|
6卷引用:新疆维吾尔自治区乌鲁木齐市等5地莎车县第九中学等2校2023届高三二模数学(文)试题