已知函数
是R上的奇函数,对任意
,都有
成立,当
,且
时,都有
,有下列命题:
①
; ②函数
图象关于直线
对称;
③函数
在
上有5个零点;④函数
在
上为减函数.
则以上结论正确的是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048f8d3ee5bf62cefacbd0ee25839932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3392be8e28f1956a66d64c10f729a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a57d6d7b74ae630e6ce3b43afe6060.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e204ddc3025ec182f98670b419186a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf2917e77945b30da7be9b48b0b317a.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef66c2daa891724bceec0a6318f0a8f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3fefc0b55e0e5719c0ab45c359df21.png)
则以上结论正确的是
更新时间:2023-10-27 15:32:19
|
相似题推荐
填空题-单空题
|
适中
(0.65)
名校
【推荐1】已知
是定义在
上的奇函数,当
,
的图象如图所示,那么
的值域是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e12d7187aefdfb785fdaa6275738a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9c89d2cd1fb46b1e71ad10227c098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://img.xkw.com/dksih/QBM/2018/12/11/2094400801095680/2095874419228672/STEM/ff50c90a78c3421e83606fe2a36fb8a6.png?resizew=115)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
名校
【推荐2】
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186948d2aac70786d9f0111c059002d4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/359c91b1539e729029b4b4188571622e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ec4528d50e96e04e4e98d68490973a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186948d2aac70786d9f0111c059002d4.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
解题方法
【推荐1】已知定义在
上的奇函数
,满足
,且在区间
上是增函数,则
、
、
的大小关系为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e3c92f3f47d02fae5e4022f1bbe8ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc685dbd32c34816685743c07c3f565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a1838c3ca6a8cb95370fd97ebdae8e.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
解题方法
【推荐2】已知函数
上的奇函数,且
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba051b42d46525a4b825ed4c1fa14b8d.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fefbffe0aa58415d05c12124260a66a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935799b8d9f3de0c021e2a7df70d96f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77538bd3aba1864f5eac30dae75b36d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c059000f6237e0207a3faa3ec01ecb9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba051b42d46525a4b825ed4c1fa14b8d.png)
您最近一年使用:0次
填空题-双空题
|
适中
(0.65)
名校
【推荐1】已知函数
,则函数
的图像关于点成中心对称_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae2f6692b3dfb9635cf3ef3b0afe3646.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585aca63e58c6cd9100eb7843baafc11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae2f6692b3dfb9635cf3ef3b0afe3646.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
名校
【推荐2】给出下列四个结论:
(1)若集合
,
,且
,则
,
;
(2)已知函数
,若
,则
;
(3)函数
的单调减区间是
;
(4)若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ea5d71ca3976bd564386b0607a26c6.png)
其中不正确的有________ .
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca5c4b7002804507b71a4fb48fa4d4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb0a844ed1631507c73f7cc930c916a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae29317607823b6a59ac52e25d39ed14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ebf8aaee1a3871b76f0e5d3d194fa85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8fc9f587b7fdb668e3c855da1b8282e.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c9320d009a17deba67f208c7d8be8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193b90b218980dd666b2ca5a8ef1687a.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c38a21483a2dc328d2e0b1d1b62599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ea5d71ca3976bd564386b0607a26c6.png)
其中不正确的有
您最近一年使用:0次