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函数f(x)=cosπx与函数g(x)=|log2|x-1||的图象所有交点的横...
函数f(x)=cosπx与函数g(x)=|log2|x-1||的图象所有交点的横坐标之和为( )
A.2
B.4
C.6
D.8
考点分析:
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函数f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287010_ST/0.png)
的图象是( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287010_ST/images1.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287010_ST/images2.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287010_ST/images3.png)
D.
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已知函数f(x)=sin(2x+φ),其中0<φ<2π,若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287009_ST/0.png)
恒成立,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287009_ST/1.png)
,则φ等于( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287009_ST/2.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287009_ST/3.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287009_ST/4.png)
D.
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为得到函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287008_ST/0.png)
的图象,只需将函数y=sin2x的图象( )
A.向左平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287008_ST/1.png)
个长度单位
B.向右平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287008_ST/2.png)
个长度单位
C.向左平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287008_ST/3.png)
个长度单位
D.向右平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287008_ST/4.png)
个长度单位
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把函数y=sinx x∈R 的图象上所有的点向左平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287007_ST/0.png)
个单位长度,再把所得图象上所有点的横坐标伸长到原来的2倍(纵坐标不变),得到的图象所表示的函数为( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287007_ST/1.png)
x∈R
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287007_ST/2.png)
x∈R
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287007_ST/3.png)
x∈R
D.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287007_ST/4.png)
x∈R
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设f(x)=sin(2x+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287006_ST/0.png)
),则f(x)的图象的一条对称轴的方程是( )
A.x=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287006_ST/1.png)
B.x=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287006_ST/2.png)
C.x=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101341958228769/SYS201311031013419582287006_ST/3.png)
D.x=
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