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)解不等式
;
(2)记函数
的最小值为
,正实数
,
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e32fe6eea89758fe843a869976d08fd.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4509817be39bef4bcde115996ee39e8.png)
(2)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857ce2790f14cac8a0cfecc154015237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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/9048a4655708ea1ff6702b4b5061975a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09824810c009fb0bdbe625fdc0c0ad6.png)
您最近一年使用:0次
2023-12-26更新
|
66次组卷
|
2卷引用:青海省西宁市大通县2024届高三上学期期中数学(文)试题
解题方法
4 . 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
5 . 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:青海省海南藏族自治州海南州普通高中2023-2024学年高三上学期期中联考数学(理科)试题
名校
6 . 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:河南省信阳高级中学(北湖校区)2023-2024学年高一上学期9月月考数学试题
7 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc63193d3c686f63aa56186dd777a6e.png)
(1)解不等式
;
(2)若
,求证:
,使得
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc63193d3c686f63aa56186dd777a6e.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188281cc0c7af6e95c32b9bbb94ffc21.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a57e060f61f7efa54982bda67db483a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02491f9709f00a1bc169278fbe01f576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52eaacd91c25b6d91415aa741f821f96.png)
您最近一年使用:0次
名校
解题方法
8 . 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
9 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若
的最小值为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340a74288e7803971d35e1784af0837d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbc901cbdb68130ddac3174583dd93c.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/1cf7c12fbcd104b5222f020d75eb52af.png)
您最近一年使用:0次
22-23高二下·陕西榆林·期末
解题方法
10 . 设函数
.
(1)求不等式
的解集;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8631b3be45ed183850be36929ab09d2.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04005072a28f26bdfe69a6a2d2b4059d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47618452edf72ca4cd547c2203170bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a00b6fa7bc182270cf393f260f3f4a.png)
您最近一年使用:0次