1 . 已知奇函数
当
时,
,则当
时,
的表达式是.
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571965326745600/1571965332275200/STEM/e086e804f2e04509b3105303c8a505a9.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571965326745600/1571965332275200/STEM/cf8812e3c6dd436082e4924ecb955598.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571965326745600/1571965332275200/STEM/baae938e96124594b43cb1489f075a70.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571965326745600/1571965332275200/STEM/befc5166b2ec441ebfbb4ca40c4164ff.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571965326745600/1571965332275200/STEM/e086e804f2e04509b3105303c8a505a9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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11-12高一上·广东深圳·期中
2 . 若函数
是偶函数,则
的递减区间是________
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572329171214336/1572329177104384/STEM/83106f2af5aa4b1d8028d093bc017924.png?resizew=191)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572329171214336/1572329177104384/STEM/ed8bd1560ba141d1bcacc46cc7b3996b.png?resizew=36)
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3 . 对于函数f(x)=x|x|+px+q,现给出四个结论:
①q=0时,f(x)为奇函数;
②y=f(x)的图象关于(0,q)对称;
③p=0,q>0时,方程f(x)=0有且只有一个实数根;
④方程f(x)=0至多有两个实数根.
其中正确的结论的序号为________ .
①q=0时,f(x)为奇函数;
②y=f(x)的图象关于(0,q)对称;
③p=0,q>0时,方程f(x)=0有且只有一个实数根;
④方程f(x)=0至多有两个实数根.
其中正确的结论的序号为
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11-12高三上·湖北黄冈·阶段练习
4 . 设
是周期为2的奇函数,当
时,
,
则
=
![](https://img.xkw.com/dksih/QBM/2011/12/28/1570637123715072/1570637128818688/STEM/ddd52708d671456a8fb2389a359a6a14.png)
![](https://img.xkw.com/dksih/QBM/2011/12/28/1570637123715072/1570637128818688/STEM/f0dd7ab80c3a4e36b83c86eebeda5c92.png)
![](https://img.xkw.com/dksih/QBM/2011/12/28/1570637123715072/1570637128818688/STEM/becb8e9e44bd44f59b09ee6410819ddf.png)
则
![](https://img.xkw.com/dksih/QBM/2011/12/28/1570637123715072/1570637128818688/STEM/586cbbd79b7943038129de6ca1a0920e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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14-15高一上·辽宁大连·期中
5 . 已知
为奇函数,且
时,
,则![](https://img.xkw.com/dksih/QBM/2014/12/9/1571920700194816/1571920705552384/STEM/f4aba352f48f4a49a930f25ca5f5e812.png?resizew=57)
__________ .
![](https://img.xkw.com/dksih/QBM/2014/12/9/1571920700194816/1571920705552384/STEM/9286ea26b44241048b84dca8018c8c4d.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2014/12/9/1571920700194816/1571920705552384/STEM/9db87eb30fad4da3ac7ff8a2605f6ae0.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2014/12/9/1571920700194816/1571920705552384/STEM/29b883db80164903a48bcd6ea62ac0fd.png?resizew=113)
![](https://img.xkw.com/dksih/QBM/2014/12/9/1571920700194816/1571920705552384/STEM/f4aba352f48f4a49a930f25ca5f5e812.png?resizew=57)
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11-12高三上·江西·阶段练习
解题方法
6 . 已知函数
,则不等式
的解集是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d498b2ebc4cce67a8b0d5f457144a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429da70f8efbfb2d445918e9c182434f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 函数
,
是
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571965326745600/1571965332201472/STEM/56a7f2b53fe044d693cbde5a2d5da8c8.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571965326745600/1571965332201472/STEM/054cb6b198a647c8afc041774cf82e53.png)
A.偶函数 | B.奇函数 | C.不具有奇偶函数 | D.与![]() |
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10-11高三上·江西吉安·开学考试
8 . 已知偶函数f(x)在区间
上单调递增,则满足f(2x-1)<f(
)的x取值范围是
![](https://img.xkw.com/dksih/QBM/2012/8/10/1570962306670592/1570962311766016/STEM/e70287dea2b449b9a842222bd6845d2d.png)
![](https://img.xkw.com/dksih/QBM/2012/8/10/1570962306670592/1570962311766016/STEM/6fb33b766abe4544beda11727698d648.png)
A.(![]() | B.[![]() | C.(![]() | D.[![]() |
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9 . 已知
是
上的奇函数,且
,当
时,则
,则![](https://img.xkw.com/dksih/QBM/2015/1/5/1571944739479552/1571944744738816/STEM/ef731d409ac24fd482d2ecedaf6b4716.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571944739479552/1571944744738816/STEM/42c692f4a0434791b0bdd52f8ac7850b.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571944739479552/1571944744738816/STEM/71b3ad59f91d456ba781c626f39584b6.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571944739479552/1571944744738816/STEM/dbba9dec4ed04130884c3c8e137d03c9.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571944739479552/1571944744738816/STEM/87b0aa0bf1604a69821ee8e093039d3b.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571944739479552/1571944744738816/STEM/fc423b379fa24e1cb38ef0939393056b.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571944739479552/1571944744738816/STEM/4cae8cfc0ff14252949ad49b7c66a5e0.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571944739479552/1571944744738816/STEM/ef731d409ac24fd482d2ecedaf6b4716.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571944739479552/1571944744738816/STEM/42c692f4a0434791b0bdd52f8ac7850b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10-11高一上·内蒙古赤峰·期中
解题方法
10 . 已知函数
,若函数
满足
=-![](https://img.xkw.com/dksih/QBM/2012/9/13/1571013524750336/1571013530361856/STEM/42c20b110cff4c2e89058b7dd7b250d0.png)
(1)求实数a的值. (2)判断函数的单调性
![](https://img.xkw.com/dksih/QBM/2012/9/13/1571013524750336/1571013530361856/STEM/592b55da167042d18ee9083101e55a1b.png)
![](https://img.xkw.com/dksih/QBM/2012/9/13/1571013524750336/1571013530361856/STEM/42c20b110cff4c2e89058b7dd7b250d0.png)
![](https://img.xkw.com/dksih/QBM/2012/9/13/1571013524750336/1571013530361856/STEM/dd3e17161c6d457fbe9189a09a880cb4.png)
![](https://img.xkw.com/dksih/QBM/2012/9/13/1571013524750336/1571013530361856/STEM/42c20b110cff4c2e89058b7dd7b250d0.png)
(1)求实数a的值. (2)判断函数的单调性
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