取整函数
的函数值表示不超过x的最大整数,例
,
时
.取整函数在现实生活中有着广泛的应用,例如停车收费,出租车收费等都是按“取整函数”进行计费的.以下关于“取整函数”的四个命题:
①
,
②
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865fcfd1b0df2ec839e10384df354e65.png)
③
,
④
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ee087b1fdf77d75e077394de3f5894.png)
其中真命题的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aacac2cf1dd70cc65b1ca535a32c316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2321a3c5e1d1e6965cd567825100dda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58bbbdde60cf4f80c3ea6a1740edba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7093901fb749fda5fa4db984b6574fd.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8b940b94e2f4c5582f70ea7250afe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70e0db0174a2c05b28fb6d0c2508778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e362eb4b842da488c9a4b34910495351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865fcfd1b0df2ec839e10384df354e65.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70e0db0174a2c05b28fb6d0c2508778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6563c113e4801eecb133089940ab27c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ee087b1fdf77d75e077394de3f5894.png)
其中真命题的个数是( )
A.1个 | B.2个 | C.3个 | D.4个 |
19-20高一·浙江·期末 查看更多[5]
(已下线)【新东方】双师(6)浙江省北斗联盟2020-2021学年高一上学期期中联考数学试题(已下线)【新东方】【2020】【高一上】【期中】【HD-LP362】【数学】(已下线)【新东方】杭州新东方高中数学试卷368(已下线)期末重难点突破专题02-【尖子生专用】2021-2022学年高一数学考点培优训练(人教A版2019必修第一册)
更新时间:2020-11-18 16:14:56
|
【知识点】 函数新定义
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单选题
|
较难
(0.4)
名校
解题方法
【推荐1】全集
,
,定义函数
,
.设全集为
,
,
,则下列说法中正确的是( ).
①若
,都有
,则
;
②若
,都有
,则
;
③若
,则
,都有
;
④若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc52c513c4ff65ca6dde28e82302e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45020afb5156159ad42add5537797ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e872052669dbffeda6827fed0315019c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc72e9d842d81b16d21b9dfdbdd14981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45020afb5156159ad42add5537797ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c38edfcbc6d0348a9fc75376f629909.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acc91e3b2cf95ecb5ddbb5cce61643a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0063de7a6fcec0121a9b8836b644e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acc91e3b2cf95ecb5ddbb5cce61643a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6409ca7b7ab3c4aa4e0b9abc8d2cb066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7dcbd7f44645b8c707627ab0795e18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acc91e3b2cf95ecb5ddbb5cce61643a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4af5eb3032e06dcb7e685a45a66cfa4.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3f395c9e43594f9fa1551abc2b0463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7dcbd7f44645b8c707627ab0795e18b.png)
A.①② | B.①③ | C.①②④ | D.③④ |
您最近一年使用:0次
单选题
|
较难
(0.4)
名校
解题方法
【推荐2】定义在
上的连续函数
满足
,
,
,
,
.则下列关于
的命题:①
恒成立;②
一定是奇函数,
一定是偶函数;③
;④
一定是周期函数.其中真命题的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dad48527a47eab4a5916ab0421cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c7f4cae5d2ef12b7d7168c2bbfdac0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba024bfc4298bd424bf66cd6c59f8e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1004a6304895dfb108a0c2b08de2af7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aaada27ba11bcd779d26a63b1f91bb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2c50ae35557bac7d1b397695f1e743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
A.4 | B.3 | C.2 | D.1 |
您最近一年使用:0次