下列命题:
①偶函数的图象一定与y轴相交;
②任取
,均有
;
③在同一坐标系中,
与
的图象关于
轴对称;
④
在
上是减函数.
其中正确的命题的序号是________ .
①偶函数的图象一定与y轴相交;
②任取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e5f084c973bb572b074f0b80da9b65d.png)
③在同一坐标系中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e4199718a33c4a468071ae41fc6174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008878b862889915bcbc934fc4e384d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3298de96f8ea543245708da4f6984b90.png)
其中正确的命题的序号是
更新时间:2019-12-01 14:08:58
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【推荐1】已知函数
,若对于区间
内的任意两个不等实数
,
,都有
,则实数
的取值范围是______ .
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【推荐2】下列命题中:
①若函数
的定义域为R,则
一定是偶函数;
②若
是定义域为R的奇函数,对于任意的
都有
,则函数
的图象关于直线
对称;
③已知
是函数
定义域内的两个值,且
,若
,则
是减函数;
④若
是定义在R上的奇函数,且
也为奇函数,则
是以4为周期的周期函数.
其中正确的命题序号是_____________ .
①若函数
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/5cdd03e098ae462ab3f91a34ecf34457.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/01066130957d4b0d87b1041715157bb8.png?resizew=132)
②若
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/5cdd03e098ae462ab3f91a34ecf34457.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/add9c20e318947afb5bf7444087c7c49.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/533d1f428e3846729107c83a5e248ea6.png?resizew=123)
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/5cdd03e098ae462ab3f91a34ecf34457.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/1b65738b6e8240df9d45e93a9b55f252.png?resizew=33)
③已知
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/8cb2372ad8d841a59e809ea0c3f28bfd.png?resizew=43)
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/5cdd03e098ae462ab3f91a34ecf34457.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/16c81c7527604ed6b1b672e668a142a5.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/25f0f614e1564c25ba0b54ad64089a8e.png?resizew=91)
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/5cdd03e098ae462ab3f91a34ecf34457.png?resizew=35)
④若
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/5cdd03e098ae462ab3f91a34ecf34457.png?resizew=35)
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/752a2f6fbd4a49b3a7586dd645dd4610.png?resizew=56)
![](https://img.xkw.com/dksih/QBM/2015/10/9/1572249419866112/1572249425485824/STEM/5cdd03e098ae462ab3f91a34ecf34457.png?resizew=35)
其中正确的命题序号是
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【推荐3】符号
表示不超过x的最大整数,如
,
,定义函数
.给出下列四个结论:
①函数
的定义域是R,值域为
;
②方程
有无数个解;
③函数
是增函数;
④函数
是奇函数.
其中正确结论的序号为__________ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec13b2c5950301683e240faf02340617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150587114b2912d6cee27974aa4cad50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f2754b3b1dad0794ec35a1771e1453.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f344fd588492f8bcbb5f55b2946ea735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
②方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096c0b91043235e8d883e19b7008c87c.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f344fd588492f8bcbb5f55b2946ea735.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f344fd588492f8bcbb5f55b2946ea735.png)
其中正确结论的序号为
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名校
解题方法
【推荐1】已知函数
的定义域为R,
,且函数
为偶函数,则
的值为________ ,函数
是________ 函数(从“奇”、“偶”、“非奇非偶”、“既奇又偶”中选填一个).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e7b359eb7cd04493fc030a87eccbf4.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd9f601a861f0c567b1d586f0eb698a.png)
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解题方法
【推荐2】已知函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107f5f97110237a6cb4d76ac18370466.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2178fd19dbf4d9d5dcc1e0778152c498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4afc4d2ca4f3d695410dba3b2cb192e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107f5f97110237a6cb4d76ac18370466.png)
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