名校
解题方法
1 . 下列说法中正确的序号为___________ .
①在同一坐标系中,函数
与函数
的图象关于
轴对称;
②函数
(
且
)的图象经过定点
;
③函数
的单减区间为
;
④任意
,都有
.
①在同一坐标系中,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463d84a4fbb7d0e1ca72911e70c4bacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa80ae0b0eab1f14cccf872500f0843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c34af900e0f2a076c26a5273d4f75b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95169f7287a6a0c9b6917eb2ceb245eb.png)
④任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20251bc82067179f013288b5c338856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f487f165f3ecce50cca5e3720c0891c.png)
您最近一年使用:0次
2021-11-21更新
|
724次组卷
|
2卷引用:四川省成都市四川大学附属中学2021-2022学年高一上学期期中考试数学试题
13-14高三上·四川成都·期中
2 . 若
是任意非零常数,对于函数
有以下5个命题:
①
是
的周期函数的充要条件是
;
②
是
的周期函数的充要条件是
;
③若
是奇函数且是
的周期函数,则
的图形关于直线
对称;
④若
关于直线
对称,且
,则
是奇函数;
⑤若
关于点
对称,关于直线
对称,则
是
的周期函数.
其中正确命题的序号为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c92f762652e758a704e26da76880e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69e1d195e1c8db175fcbc9326526ece.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c92f762652e758a704e26da76880e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/378cb95209badfbf817682f6423ccd0b.png)
③若
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/ce9d56d2eaa3493fbf341c2d00b5a5f3.png?resizew=49)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/23bf44c1841e4d3fa91f10715eb23a1e.png?resizew=41)
④若
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/23bf44c1841e4d3fa91f10715eb23a1e.png?resizew=41)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/b37a67d258fd4475ad698567ec89c614.png?resizew=116)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
⑤若
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/9c58d5f29b3049d09a232ee8d5029a57.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/90b0a3d940f2450c8e5ce63567a477e9.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/45170acd0f5c4d01a09adc14aeae6ebe.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2013/11/26/1571403473289216/1571403479064576/STEM/3c3fd8da0caa40de8d650bd0c5fe4350.png?resizew=83)
其中正确命题的序号为
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解题方法
3 . 有四个幂函数:①
,②
;③
;④
.某同学研究了这几个函数,并给出函数的三个性质:(1)偶函数;(2)值域是
;(3)在
上是增函数.如果给出的三个性质中,有两个正确,一个错误,则满足条件的函数是______ (填序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8756b76b2fb3289cb0f5a38623d5e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4546e5f3a8fdff3206eeb2950ebd44a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af07d272da54872ad5a5d2c8181760af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7192d87d0fa400d5d7dba57924bbbe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d609abb6046a5846e8e436d3196461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
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