2010·辽宁·一模
解题方法
1 . 已知函数
是
上的偶函数,对任意
,都有
成立,当
且
时,都有
给出下列命题:
①
且
是函数
的一个周期;
②直线
是函数
的一条对称轴;
③函数
在
上是增函数;
④函数
在
上有四个零点.
其中正确命题的序号为_____ (把所有正确命题的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b54a16fd78a5464d7944e374552ed80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16014834857c7ad49afc420095b5239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee798d2d512f7342c55a0d580f4367e2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db7707d6b2754808adefc9b2fb976a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ffd26ee71de49bd8c5deba8f623159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041da7ce47a2aedda53953794fdbd3dc.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4695c34aafd1c1ae276f9eddc53a397d.png)
其中正确命题的序号为
您最近一年使用:0次
解题方法
2 . 已知函数
是定义在R上的奇函数,给出下列四个结论:①
;②若
在
上有最小值-1,则
在
上有最大值1;③若
在
上为增函数,则
在
上为减函数;④若
时,
则
时,
;其中正确结论的序号为______________
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/93254031e9f648e3bd91bded7a484a88.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/3f0785673195464183d85a43901395fa.png?resizew=60)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/93254031e9f648e3bd91bded7a484a88.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/7caa5f3375f8495ea059af00713697cf.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/93254031e9f648e3bd91bded7a484a88.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/e4310344aa024ee4b2e6b3939ca6472d.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/93254031e9f648e3bd91bded7a484a88.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/53850dca4f2a4fcc9681bc9348b43a8c.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/93254031e9f648e3bd91bded7a484a88.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/e3eea98f9ede431e9596fa2f4da4213c.png?resizew=55)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/65e4a1f49ce14a878f7247df8a5d3b44.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/716045928ae34d65b0bea749366483d4.png?resizew=104)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/1a600846e9ff4658b931182eacd6c3aa.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622511616/STEM/9a19cb0173164811a23bb791bd016ad7.png?resizew=110)
您最近一年使用:0次
3 . 下列说法正确的是________ (只填正确说法序号)
①若集合
,则
;
②
是函数解析式;
③
是非奇非偶函数;
④设二次函数
,若
则
①若集合
![](https://img.xkw.com/dksih/QBM/2016/1/20/1572448095305728/1572448100515840/STEM/67fd5e8c96244d2ba7baf0607451dcee.png?resizew=245)
![](https://img.xkw.com/dksih/QBM/2016/1/20/1572448095305728/1572448100515840/STEM/f165d548e7ba47488b4e994a3ea61188.png?resizew=145)
②
![](https://img.xkw.com/dksih/QBM/2016/1/20/1572448095305728/1572448100515840/STEM/9d6664fe65924c299c91a1b29e01ca8c.png?resizew=132)
③
![](https://img.xkw.com/dksih/QBM/2016/1/20/1572448095305728/1572448100515840/STEM/0ffed11544dd4fab90aa8a59c5cbdb45.png?resizew=96)
④设二次函数
![](https://img.xkw.com/dksih/QBM/2016/1/20/1572448095305728/1572448100515840/STEM/3c6139bd7bf3418da7b3cb743c203a35.png?resizew=173)
![](https://img.xkw.com/dksih/QBM/2016/1/20/1572448095305728/1572448100515840/STEM/f548fdda537041019c4e86e2c0231d88.png?resizew=153)
![](https://img.xkw.com/dksih/QBM/2016/1/20/1572448095305728/1572448100515840/STEM/65f9a55b3576440d995e0e4a88d0fd69.png?resizew=96)
您最近一年使用:0次