已知函数y=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405009_ST/0.png)
sin
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405009_ST/1.png)
+cos
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405009_ST/2.png)
(x∈R).
(1)用“五点法”画出它的图象;
(2)求它的振幅,周期及初相;
(3)说明该函数的图象可由y=sin x的图象经过怎样的变换而得到?
考点分析:
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,ω=
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405007_ST/images0.png)
函数y=Asin(ωx+φ)(A,ω,φ为常数,A>0,ω>0)在闭区间[-π,0]的图象如图所示,则ω=
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函数f(x)=tanωx (ω>0)的图象的相邻的两支截直线y=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405006_ST/0.png)
所得线段长为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405006_ST/1.png)
,则f(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405006_ST/2.png)
)的值是
.
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曲线y=Msin(2ωx+φ)+N(M>0,N>0,ω>0)在区间
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405005_ST/0.png)
上截直线y=4,与y=-2所得的弦长相等且不为0,则下列描述中正确的是( )
A.N=1,M>3
B.N=1,M≤3
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405005_ST/1.png)
D.
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函数f(x)=3sin(2x-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405004_ST/0.png)
)的图象为C,下列结论中正确的是( )
A.图象C关于直线x=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405004_ST/1.png)
对称
B.图象C关于点(-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405004_ST/2.png)
,0)对称
C.函数f(x)在区间(-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405004_ST/3.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405004_ST/4.png)
)内是增函数
D.由y=3sin2x的图象向右平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123823834040502/SYS201310251238238340405004_ST/5.png)
个单位长度可以得到图象C
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