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设函数f(x)=sin(2x+),现有下列结论 (1)f(x)的图象关于直线x=...
设函数f(x)=sin(2x+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049005_ST/0.png)
),现有下列结论
(1)f(x)的图象关于直线x=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049005_ST/1.png)
对称;
(2)f(x)的图象关于点(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049005_ST/2.png)
,0)对称
(3)把f(x)的图象向左平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049005_ST/3.png)
个单位,得到一个偶函数的图象;
(4)f(x)的最小正周期为π,且在[0,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049005_ST/4.png)
]上为增函数.
其中正确的结论有
(把你认为正确的序号都填上)
考点分析:
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为了得到函数y=sin
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sinxcosx的图象,可以将函数y=sin2x的图象( )
A.向左平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049004_ST/1.png)
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个单位长度
B.向右平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049004_ST/3.png)
个单位长度,再向上平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049004_ST/4.png)
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C.向左平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049004_ST/5.png)
个单位长度,再向下平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049004_ST/6.png)
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D.向右平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049004_ST/7.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049004_ST/8.png)
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已知函数f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049003_ST/0.png)
sinwx+coswx(w>0),y=f(x)的图象与直线y=2的两个相邻交点的距离等于π,则f(x)的单调递增区间是( )
A.[kπ-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049003_ST/1.png)
,kπ+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049003_ST/2.png)
],k∈Z
B.[kπ+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049003_ST/3.png)
,kπ+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049003_ST/4.png)
],k∈Z
C.[kπ-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049003_ST/5.png)
,kπ+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049003_ST/6.png)
],k∈Z
D.[kπ+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049003_ST/7.png)
,kπ+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049003_ST/8.png)
],k∈Z
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将函数y=sin2x的图象向左平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049002_ST/0.png)
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2C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049002_ST/1.png)
D.y=cos2
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已知简谐运动f(x)=Asin(ωx+φ),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049001_ST/0.png)
的部分图象如图示,则该简谐运动的最小正周期和初相φ分别为( )
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049001_ST/images1.png)
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049001_ST/1.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049001_ST/2.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049001_ST/3.png)
D.
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函数y=sin(ωx+ϕ)的部分图象如右图,则ω,ϕ可以取的一组值是( )
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049000_ST/images0.png)
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049000_ST/0.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049000_ST/1.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212138863804944/SYS201310232121388638049000_ST/2.png)
D.
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