曲线y=x3+x+1在点(1,3)处的切线方程是 .
考点分析:
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对于函数f(x),若存在区间M=[a,b](其中a<b),使得{y|y=f(x),x∈M}=M,则称区间M为函数f(x)的一个“稳定区间”.给出下列4个函数:①f(x)=(x-1)
2;②f(x)=|2
x-1|;③
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048009_ST/0.png)
;④f(x)=e
x.其中存在“稳定区间”的函数有( )
A.①③
B.①②③④
C.②④
D.①②③
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函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048008_ST/0.png)
向左平移m(m>0)个单位后所得到的图象关于原点对称,则m的最小正值是( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048008_ST/1.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048008_ST/2.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048008_ST/3.png)
D.
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已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048007_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048007_ST/1.png)
不共线,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048007_ST/2.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048007_ST/3.png)
+4
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048007_ST/4.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048007_ST/5.png)
=-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048007_ST/6.png)
+9
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048007_ST/7.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048007_ST/8.png)
=3
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048007_ST/9.png)
-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048007_ST/10.png)
,则一定共线的三点是( )
A.A,B,D
B.A,B,C
C.B,C,D
D.A,C,D
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函数f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048006_ST/0.png)
+lg(3x+1)的定义域是( )
A.(-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048006_ST/1.png)
,+∞)
B.(-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048006_ST/2.png)
,1)
C.(-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048006_ST/3.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048006_ST/4.png)
)
D.(-∞,-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048006_ST/5.png)
)
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函数y=sin(3x-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048005_ST/0.png)
)的图象的一个对称中心坐标是( )
A.(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048005_ST/1.png)
,0)
B.(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048005_ST/2.png)
,0)
C.(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048005_ST/3.png)
,0)
D.(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102704738904804/SYS201311031027047389048005_ST/4.png)
,0)
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