若
(其中
为整数),则称
是离实数
最近的整数,记作
.下列关于函数
的命题中,正确命题的序号是__________ .
①函数
的定义域为
,值域为
;
②函数
是奇函数;
③函数
的图象关于直线
(
)对称;
④函数
是周期函数,最小正周期为1;
⑤函数
在区间
上是增函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b82ec65b678aef2b8ae9f2b143d0c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6b9b824412f889341ea7946b7ff3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c840dde6a260ce4cde02ab5b999d8c2.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad6f652bdec0b1f40f6790a0609609.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/540ed28e991b7bc2f30f68ce9811f5fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99074f989e74d5ff306b4b7b7a379c1f.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
⑤函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21aa88b247e1eaf0520abb791c737a1.png)
19-20高三上·山西运城·期末 查看更多[2]
更新时间:2020-01-14 22:56:55
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【推荐1】已知,若定义域为
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,总有
;②
;③当
,
,
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为
函数.以下说法:(1)若函数
为
函数,则
;(2)函数
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函数;(3)若函数
为
函数,则函数在区间
上单调递增;(4)若函数
、
均为
函数,则函数
(
,
,且
)必为
函数,正确的有__________ (填写序号).
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【推荐2】已知函数
对任意两个不相等的实数
,
,都满足不等式
,则实数
的取值范围是________ .
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【推荐1】对于定义域为
的函数
,若满足①
;② 当
,且
时,都有
;③ 当
,且
时,都有
,则称
为“偏对称函数”.现给出四个函数:①
;②
; ③
;④
.则其中是“偏对称函数”的函数序号为 _______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104375baf5cef5eb92cfc7cf13b80193.png)
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【推荐2】已知函数
,给出下列命题:
①
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为偶函数;
②若
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的图象关于
对称;
③若
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上是增函数;
④若
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有2个零点.
其中正确命题的序号为_______ .
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①
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
③若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a06dbd1f872110960fe075c079aa67.png)
④若
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其中正确命题的序号为
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【推荐3】已知函数
,若
,现有下列4个结论:①
;②
;③
;④
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【推荐1】已知函数
满足对
,都有
,且
,若
的图象在
处的切线方程为
,则
的图象在
处的切线方程为______ .
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【推荐2】已知
是定义在
上的偶函数,其图象关于点
对称.以下关于
的结论:
①
是周期函数;②
在
单调递减;
③
满足
;④
是满足条件的一个函数.
其中正确的结论是________ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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①
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
③
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其中正确的结论是
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的定义域为R,且满足下列条件:①
;②
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___________ ;若方程
在
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【推荐1】已知
,
是定义在R上的两个函数,其中
是奇函数,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21090d98924e690645e3ae41ecc29ac5.png)
.当
时,
,
.若关于x的方程
在区间
上有5个不同的实根,则实数k的取值范围为___________ .
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【推荐2】已知
为
上的偶函数,对任意
都有
且当
,
时,有
成立,给出四个命题:①
;②直线
是函数
的图像的一条对称轴;③函数
在
上为增函数;④函数
在
上有四个零点,其中所有正确命题的序号为_________ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed586e332a074da6f8aa7789ff097c62.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a57d6d7b74ae630e6ce3b43afe6060.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1431d051801f96ec5135b57da7e996.png)
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