對(duì)于三次函數(shù)f(x)=ax
3+bx
2+cx+d(a≠0),定義f′(x)是y=f(x)的導(dǎo)函數(shù)y=f′(x)的導(dǎo)函數(shù),若方程f′(x)=0有實(shí)數(shù)解x
,則稱點(diǎn)(x
,f(x
))為函數(shù)y=f(x)的“拐點(diǎn)”,可以發(fā)現(xiàn),任何三次函數(shù)都有“拐點(diǎn)”,任何三次函數(shù)都有對(duì)稱中心,且“拐點(diǎn)”就是對(duì)稱中心,請(qǐng)你根據(jù)這一發(fā)現(xiàn)判斷下列命題:
①任意三次函數(shù)都關(guān)于點(diǎn)(-
![](http://thumb.zyjl.cn//pic6/res/gzsx/web/STSource/20131103174314687376747/SYS201311031743146873767016_ST/0.png)
,f(-
![](http://thumb.zyjl.cn//pic6/res/gzsx/web/STSource/20131103174314687376747/SYS201311031743146873767016_ST/1.png)
))對(duì)稱:
②存在三次函數(shù)f′(x)=0有實(shí)數(shù)解x
,點(diǎn)(x
,f(x
))為麵y=f(x)的對(duì)稱中心;
③存在三次函數(shù)有兩個(gè)及兩個(gè)以上的對(duì)稱中心;
④若函數(shù)g(x)=
![](http://thumb.zyjl.cn//pic6/res/gzsx/web/STSource/20131103174314687376747/SYS201311031743146873767016_ST/2.png)
x
3-
![](http://thumb.zyjl.cn//pic6/res/gzsx/web/STSource/20131103174314687376747/SYS201311031743146873767016_ST/3.png)
x
2-
![](http://thumb.zyjl.cn//pic6/res/gzsx/web/STSource/20131103174314687376747/SYS201311031743146873767016_ST/4.png)
,則,g(
![](http://thumb.zyjl.cn//pic6/res/gzsx/web/STSource/20131103174314687376747/SYS201311031743146873767016_ST/5.png)
)+g(
![](http://thumb.zyjl.cn//pic6/res/gzsx/web/STSource/20131103174314687376747/SYS201311031743146873767016_ST/6.png)
)+g(
![](http://thumb.zyjl.cn//pic6/res/gzsx/web/STSource/20131103174314687376747/SYS201311031743146873767016_ST/7.png)
)+…+g(
![](http://thumb.zyjl.cn//pic6/res/gzsx/web/STSource/20131103174314687376747/SYS201311031743146873767016_ST/8.png)
)=-105.5.
其中正確命題的序號(hào)為
(把所有正確命題的序號(hào)都填上).