名校
解题方法
1 . 设函数
是增函数,对于任意x,
都有
.
(1)写一个满足条件的
并证明;
(2)证明
是奇函数;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
(1)写一个满足条件的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2af3785d1a6a95e3d6e12fba57ee3f8.png)
您最近一年使用:0次
2023-08-11更新
|
1166次组卷
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3卷引用:黑龙江省大庆市林甸县第一中学2022-2023学年高一下学期3月月考数学试题
黑龙江省大庆市林甸县第一中学2022-2023学年高一下学期3月月考数学试题黑龙江省牡丹江市第二高级中学2022-2023学年高一上学期期末数学试题(已下线)3.2.2 奇偶性(8大题型)精讲-【题型分类归纳】(人教A版2019必修第一册)
2 . 函数
的定义域为D,满足对任意的
,都有
.
(1)若
,试判断
的奇偶性并证明你的结论;
(2)若
,且
在定义域D上是单调函数,满足
,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d72359aa32e622429742bf70b0064a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/836fcad6a6fec95c876177e58d1a916b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05fa0b90dfbce1b77bdd0e2f35c91d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c8a116f962ae769863da8cf8e8b1b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01ae1955ff955428876290990fe9ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55e60ae3f70bd78b0908d480116edefb.png)
您最近一年使用:0次
解题方法
3 . (重点班)我们知道对数函数
,对任意
,都有
成立,若
,则当
时,
.参照对数函数的性质,研究下题:定义在
上的函数
对任意
,都有
,并且当且仅当
时,
成立.
(1)设
,求证:
;
(2)设
,若
,比较
与
的大小.
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/b5942922aeb24620a1c49b7605cf0bfb.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/0934a030347c48c3880c29572b64814e.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/2b0a82bdaf4b4268ba7930ead03210c4.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/33b03ed2a5bf44c39bdec82731a58261.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/f6585ab9bcf94bc38252246ae3bc5f15.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/37a99ef913544ae39830cb203c13f4c3.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/67a7718dfb4e493b98483b3d7f231a9d.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/507953f2fdc743a89067d93287d5f8bb.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/71e79fa76ec44c82b2472d7ca54f98dc.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/2b0a82bdaf4b4268ba7930ead03210c4.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/f6585ab9bcf94bc38252246ae3bc5f15.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/37a99ef913544ae39830cb203c13f4c3.png)
(1)设
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/71e79fa76ec44c82b2472d7ca54f98dc.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/ccad5d094f9545dab2cef638fba6b54d.png)
(2)设
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/62f413e2b7714b38a5ca6365eab88291.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/b7f37f360ce1479e88076ccd8f6e9265.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/28e06482f512446c99a3728a6a0ad86e.png)
![](https://img.xkw.com/dksih/QBM/2016/11/7/1573130429054976/1573130435534848/STEM/548602ce8fe74687a860f37a27d686e0.png)
您最近一年使用:0次
2016-12-05更新
|
193次组卷
|
2卷引用:2016-2017学年甘肃武威一中高一上学期阶段考一数学试卷