解题方法
1 . 已知函数
.
(1)求不等式
的解集;
(2)已知函数
的最小值为
,且
,
,
都是正数,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4abee03d738d7f3d8d65555fdc94d8f.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0abe4960954bb3144b7e86d4233e747.png)
(2)已知函数
![](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/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/48de42fc90f6c80a503d8bea9d4412ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adf5bfbc5d41a5795e7d2d65d86b603.png)
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2023-05-13更新
|
409次组卷
|
4卷引用:甘肃省2023届高三第三次高考诊断考试文科数学试题
名校
2 . 已知
,
,
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de02aab073adcbad7bb60fa9fd30ee7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f901f4690f2333d6fc3199dea35bae6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b495d8cde8a2fd2b8c330bf7ecd1594f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-05-11更新
|
440次组卷
|
3卷引用:江苏省扬州市高邮市第一中学2022-2023学年高一上学期第三次阶段测试数学试题
江苏省扬州市高邮市第一中学2022-2023学年高一上学期第三次阶段测试数学试题(已下线)第二章 函数 专题4 函数不等式的求解问题湖南省常德市汉寿县第一中学2023-2024学年高一下学期3月月考数学试题
3 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a97a66e2c5dea3ff0b823badb63cdba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a1cb8c61d3c57e3133d186c11b6b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73721f0e9ae5c734b6a376184b9d4c83.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知函数
的最大值为2.
(1)求
的值;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2158dba63d9f19065966c5557cd1b70.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57179e24f5bf8b0d1f89849ba8d922f3.png)
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2023-05-02更新
|
644次组卷
|
4卷引用:四川省宜宾市2023届高三三模数学(文科)试题
2023·全国·模拟预测
解题方法
5 . 已知
.
(1)求不等式
的解集;
(2)已知
的最小值为
,若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10a126d3169801c1dd830444369f36b.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1074e5765256f1c5224287fe634ca91.png)
(2)已知
![](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/d97d328c21e962179f887364eea8c7ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c664183a48e155a9ef527f0d9eb9553.png)
您最近一年使用:0次
2023·全国·模拟预测
解题方法
6 . 已知函数
.
(1)求不等式
的解集;
(2)记
的最大值为
,若正实数
,
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dcb36142ee3cebcf5b0b488e3fa61e6.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ab107a145620b80677bf69fe0252af.png)
(2)记
![](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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff00ffb088e2100c03287f008568d749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533cc5a9fd499485424c5cd3ab431469.png)
您最近一年使用:0次
解题方法
7 . 已知函数
.
(1)若
,在下列网格纸中作出函数
的大致图象;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/2/52f032ba-d901-4623-afc6-d30a1a8707d5.png?resizew=163)
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7734ad3d2feaff4113a6c6f75f9238.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/2/52f032ba-d901-4623-afc6-d30a1a8707d5.png?resizew=163)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c7a6237240dee5ad184199b7a44787.png)
您最近一年使用:0次
名校
解题方法
8 . 设满足不等式
成立实数
的最大值为
.
(1)求
的值;
(2)设
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da8395287893e9ea84b6265ed2da283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baca30d4248a82988890bd032d159b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989680e6b74504b71f5ece8771c5301d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae582f3ab1e1e9a6e9806d5e3ec2170.png)
您最近一年使用:0次
2023-04-29更新
|
283次组卷
|
3卷引用:陕西省安康中学2023届高三下学期4月质量监测文科数学试题
解题方法
9 . 已知正数
满足
.
(1)证明:
;
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56667aabbe787eb1c3189d487d203e22.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b2921a4850d75c065b2b71bed7c77e.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/456f03bed98751861221135eb8540ad0.png)
您最近一年使用:0次
10 . 已知定义在R上的函数
的导函数为
,满足
,且
,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcb5e44f2aee751f22aee975ea03a00c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00921d9eddcdc30b04d661412d6eaab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9470e429c8833930e9294e2638648784.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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