题目内容
将函数![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_ST/0.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_ST/1.png)
A.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_ST/2.png)
B.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_ST/3.png)
C.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_ST/4.png)
D.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_ST/5.png)
【答案】分析:先根据左右平移的左加右减原则确定平移后的解析式,y=
sin(2x-
),然后令2x-
=
求出x的值,对选项进行验证即可.
解答:解:将函数
的图象向右平移
个单位得到y=
sin2(x-
)=
sin(2x-
)
令2x-
=
∴x=
,当k=0时为C答案.
故选C.
点评:本题主要考查正弦函数的对称性、图象变换.属基础题.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/0.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/1.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/2.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/3.png)
解答:解:将函数
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/4.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/5.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/6.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/7.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/8.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/9.png)
令2x-
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/10.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/11.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101222515203269689/SYS201311012225152032696009_DA/12.png)
故选C.
点评:本题主要考查正弦函数的对称性、图象变换.属基础题.
![](http://thumb.zyjl.cn/images/loading.gif)
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