已知定义在
上的函数
满足:
,且函数
是偶函数,当
时,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80008b4b3a56b41ae9a66ef9aa97863.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69adf40d4d5fd6eb1cab1bbf0a251afc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95a40c91c90f32d783a2c21b3219003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42436a1806ffce32f9558b1ddbbe802e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8182ced536603bac1b9721862e1205b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d976c96ae64c173175ced90f6a3bfa6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80008b4b3a56b41ae9a66ef9aa97863.png)
更新时间:2022-10-22 07:48:03
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【推荐1】已知
为定义在
上的偶函数,且在
上单调递减,则满足不等式
的a的取值范围是__________ .(用区间表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
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【推荐2】已知函数
为奇函数,且对定义域内的任意x都有
.当
时,
.给出以下4个结论:
①函数
的图象关于点
成中心对称;
②函数
是以2为周期的周期函数;
③当
时,
;
④函数
在
上单调递减.
其中所有正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfab6aa63ed46c055f337113505cbb1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1864b98153200f5929787295de2c1e38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6f310d81acebe2649f8a7344957847.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b875c62053ffaad10be0f642b442ab9d.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d300a3a6d3270bccac16b34fd7a3cb5b.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9664cd696f581c64ac35e66febab673.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560bbc204bacf92bfef3a6befdf6cb7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1534293606d7d1cfe081ac18d8f60ee.png)
其中所有正确结论的序号为
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【推荐1】设函数
在
上满足
,
,且在闭区间
上,只有
,则函数
的最小正周期为__________ ,方程
在闭区间
上有_________ 个根
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffa257f460e4ac09d2c68954d5c824d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0778b0ca91abc0d97e4401bdc7bcf04e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7f9f27a24cae1e0eaee0f10a33869c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5d49110ac9c78b914ed96598e9fd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff312d6bd53b8f4a3d778e09969bb16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dc31ba63f2c86a5b1d999a022be7bf0.png)
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【推荐2】已知函数
的定义域为R,
为偶函数,
为奇函数,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b0203cbdc559493d27451be8011082.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe17821ea81c6fec60bd5273901bd50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534a71aa2347ed3cfd8627e3d3b51eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb331d37a41961ccceb9d7361833a460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b0203cbdc559493d27451be8011082.png)
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