名校
解题方法
1 . (1)已知
,
,
是正实数,且
.求证:
.
(2)已知
,求证
的最小值为
.
![](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/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a373fb904316b6dac93c0caded72e9.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148b86b4d8386fb95b7181a0f21950b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
您最近一年使用:0次
名校
解题方法
2 . 已知
为正实数,函数
的最大值为1,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7907d3902ca2ce8e603eca9b42f361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f164e2348de7d9967b1832004db124.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
(1)解不等式
;
(2)设
是函数
的最小值,若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42efebb397a1a460d91dcc3bf50c24e8.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03fc1cd2baabbf8afea25478e1258237.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5c520d506850e1bebf29a14fb871a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b9b250fb9323485f0314a588c5e54e2.png)
您最近一年使用:0次
2022-09-19更新
|
427次组卷
|
4卷引用:江西省上高二中2023届高三上学期第三次月考数学(文)试题
名校
4 . 已知非零实数
,
,
满足
,
,则下列不等式一定成立的是( )
![](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/8b73abfe4bc26b1ded680d7abb1a2cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e7ef804eeb23618fbf91ead47587f2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-09-07更新
|
1407次组卷
|
6卷引用:浙江省名校协作体2022-2023学年高二上学期开学考试数学试题
5 . 已知函数
,
.
(1)若
,求x的取值范围;
(2)若
的最小值为m,且正实数a,b,c,满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54ad4836383234fa1d021616f1d1d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14cb6ab822bb32ff2b0a9b76e17e5daf.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178e80b468421c380d4028c5905720fd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4070c1543f3827dfa1594a97e123a11b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcd56cb058b136a4b02599e4ea857de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac612374af7d3af718d7246c14e517b1.png)
您最近一年使用:0次
2022-09-06更新
|
335次组卷
|
2卷引用:四川省泸州市2021-2022学年高二下学期期末数学(理)试题
解题方法
6 . 已知函数
.
(1)求不等式
的解集;
(2)若
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5777e2a8bd8a10cd04435a009833d368.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a8a9f4f0d6590de86becb733bd1b6b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ce356da01c9e91f6ea6d5a73df340d.png)
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2023-01-11更新
|
88次组卷
|
2卷引用:陕西省安康市白河高级中学实验班2021-2022学年高二上学期期末理科数学试题
解题方法
7 . 设
,则“
”是“
”成立的( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd73ed7de4ec9894ee36332b592dc70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a730f248efcbff2abfd3229f00f355c.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
解题方法
8 . 基本技能考查题
(1)
;
(2)
;
(3)若
,求
的最小值.并求
的值
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87418371097f508a1dd45a5c72511fc4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413294bd030eca8210588866cc9c2ad1.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d5078c1d921be3ea07c92dd277c6a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f0b84ee4ed90face0993d4f4dda379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
您最近一年使用:0次
解题方法
9 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765b0296ca1171a47e12362122dc81d1.png)
(1)当
时,求
定义域;
(2)若
的定义域为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765b0296ca1171a47e12362122dc81d1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a81e971f501d78f5560c0c3d42f0f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54536edb39deaca341f596d300b923d3.png)
(1)若
是偶函数,求实数
的值;
(2)当
时,求函数
的单调区间;
(3)当
时,若
对任意的实数
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54536edb39deaca341f596d300b923d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f4185f39a0719e89b1a5954b62c926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次