已知函数
,且
.
(1)判定
的奇偶性;
(2)判断
在
上的单调性,并用定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40296ce4d3a9b50db7dab53d1b12c416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75590103b94d413023e139e683e589f5.png)
(1)判定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fce155963060b2e5b9147a185897cc.png)
更新时间:2020-10-31 11:51:21
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相似题推荐
解答题-问答题
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【推荐1】已知幂函数
为偶函数,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b84b612ced3f1afbc0a7d3b8f7e534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f15cf7fb97ed8d7106d55e77514806.png)
(1)求
的解析式;
(2)判断函数
的奇偶性,并说明理由;
(3)若
,试判断
在
上的单调性,并给出证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bae453f22e8e51025f3bfb7082f1fabc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b84b612ced3f1afbc0a7d3b8f7e534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f15cf7fb97ed8d7106d55e77514806.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
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【推荐2】用函数单调性定义证明
在区间
上是单调递增,并求在此区间上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5effb3053cf609f59178641cd48167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
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【推荐3】已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
(1)证明:当
时,
在
单调递减,
单调递增;当
时,
在
单调递增;
(2)若
在
单调递增,求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1982786864f37e6f954e8d70f9970620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
(1)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53497a63db955eaf35c54a7236d01195.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964580f225a18d0ed933416dfb350c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐1】已知函数
为奇函数.
(1)求
的值;
(2)判断
的单调性,并用定义证明;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4154a5fdda0beaf7558f79f2179aea.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a137b4356a2890ade439043da2c8eba.png)
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解题方法
【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0596572cb776537b5f55785f76f6d0.png)
(1)判断函数的奇偶性,并说明理由.
(2)若对任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0596572cb776537b5f55785f76f6d0.png)
(1)判断函数的奇偶性,并说明理由.
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d263c8ac39710059ad602c29659323a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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