题目内容
将函数
向右平移
个单位,再将所得的函数图象上的各点纵坐标不 变,横坐标变为原来的2倍,得到函数
的图象,则函数
与
,
,
轴围成的图形面积为
2
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231408407741002.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140840805506.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140840821557.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140840821557.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140840946546.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140840946530.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140840961271.png)
A.![]() | B.![]() | C.![]() | D.![]() |
B
将函数f(x)=sin(2x+
)向右平移
个单位,得到函数f(x)=sin[2(x-
)+
]=sin(2x+π)=-sin2x,再将所得的函数图象上的各点纵坐标不变,横坐标变为原来的2倍,得到函数y=g(x)=-sinx的图象,则函数y=-sinx与
,x=
,x轴围成的图形面积:-
(-sinx)dx+
(-sinx)dx=
-cosx+
cosx
=
+1=![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140840993393.png)
故选B
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140841351413.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140840805506.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140840805506.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140841351413.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140840946546.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140841351413.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140841617450.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140841648461.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140841648387.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140841663402.png)
=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140841679338.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140840993393.png)
故选B
![](http://thumb.zyjl.cn/images/loading.gif)
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