1 . 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)
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解题方法
2 . 已知
是正实数,且
.
(1)求
的最小值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc53aa7ada070277568bacc3486d7b00.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33d12c89b5fc452f545e3950be840ce.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7318307db0922ebd01c97a927530468.png)
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2023-08-03更新
|
418次组卷
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3卷引用:贵州省威宁彝族回族苗族自治县第八中学2023届高三数学(理)样卷(二)试题
名校
解题方法
3 . 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)
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2023-07-27更新
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8卷引用:四川省南部中学2023-2024学年高三第四次月考数学 (理科)试题
名校
解题方法
4 . 已知a,b,c均为正数,且
,证明:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c565bd789406c4b280ae81ec463d13dc.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be35a84601680da65211003f90e54f2d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba69dcb85350a944604eb7e3508b5e7.png)
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2023-05-24更新
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2卷引用:陕西省安康中学2023届高三下学期5月学业质量检测(二)文科数学试题
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解题方法
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
(1)求不等式
的解集;
(2)若函数
的最小值为m,且正数a,b,c满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c4e334b99b21af5a068a1e63a07d85.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8da83effa5528058c00457626a6cef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86be2de99fbf7f99cd54ab399146b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0d9f33012c8ebd91f2d6941af2d824.png)
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2023-05-13更新
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6卷引用:四川省凉山彝族自治州2023届高三第三次诊断性检测数学(文)试题
6 . 已知正实数a,b满足
,设
的最大值为m.
(1)求m的值;
(2)若
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28dd051124c6ea22fcf08dfe70caedf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(1)求m的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7747bdaad0cd09e9da9286ebbfcc2ebc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa85c45667e25a10a5a1c301d3bdc9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afffc0df2a773b7a60e2cc9d5888b0b2.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
.
(1)求
的最小值
;
(2)若
为正实数,且
,证明不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeac9c68cb0927860b9501715aee4161.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4437f0a5f10a9ff9fe6b7d6d353f67c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdedd395cdf9ce33624a1dd9439d41ea.png)
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2023-05-03更新
|
668次组卷
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6卷引用:四川省德阳市第五中学2022-2023学年高二下学期5月月考理科数学试题
8 . 已知x,y,z为正数,证明:
(1)若
,则
;
(2)若
,则
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0ce87e151aa5663527dbdd7d27477d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16be74781075be6aa972a06a5926cdda.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76b24b4dacca159e8806e936fb58171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75af50130fe2d460ab7734716f8b2b30.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
,不等式
的解集为
.
(1)求
的值;
(2)若三个实数
,
,
,满足
.证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a45b86bea4e48896e36ffbb7dce33d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4af81a7db1ca83f8ab738760e60759d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeabb54aee014be51ef627c14280e8a5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若三个实数
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86be2de99fbf7f99cd54ab399146b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49bd87f3684f72e8448221ea3e8a912f.png)
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2023-04-29更新
|
659次组卷
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9卷引用:内蒙古赤峰二中2022-2023学年高二下学期第二次月考数学(理)试题
解题方法
10 . 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)
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2023-04-25更新
|
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3卷引用:陕西省西安市西咸新区泾河新城第一中学2022-2023学年高二下学期5月质量检测文科数学试题