函数y=根号下(2cosx+1)的定义域是( )A.[2kπ-π/3,2kπ+π/3] B.[2kπ-π/6,2kπ+π/6] C.[2kπ+π/3,2kπ+2π/3] D.[2kπ-2π/3,2kπ+2π/3]

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函数y=根号下(2cosx+1)的定义域是( )A.[2kπ-π/3,2kπ+π/3] B.[2kπ-π/6,2kπ+π/6] C.[2kπ+π/3,2kπ+2π/3] D.[2kπ-2π/3,2kπ+2π/3]

函数y=根号下(2cosx+1)的定义域是( )A.[2kπ-π/3,2kπ+π/3] B.[2kπ-π/6,2kπ+π/6] C.[2kπ+π/3,2kπ+2π/3] D.[2kπ-2π/3,2kπ+2π/3]
函数y=根号下(2cosx+1)的定义域是( )
A.[2kπ-π/3,2kπ+π/3]
B.[2kπ-π/6,2kπ+π/6]
C.[2kπ+π/3,2kπ+2π/3]
D.[2kπ-2π/3,2kπ+2π/3]

函数y=根号下(2cosx+1)的定义域是( )A.[2kπ-π/3,2kπ+π/3] B.[2kπ-π/6,2kπ+π/6] C.[2kπ+π/3,2kπ+2π/3] D.[2kπ-2π/3,2kπ+2π/3]
2cosx+1 =>0
cosx=>-1/2
根据三角函数线(如图)
http://hi.baidu.com/peter%5Fmu/album/item/5d512ff541e00106bc3109de.html
可知
x属于[(-2兀/3)+2K兀,(2兀/3)+2K兀 ]
不好意思算错了刚刚
D

2cosx+1>0
所以
cosx>-0.5
so
d

D的答案对。由于余弦在第一、四象限的值是正的,所以一、四象限内的角X都应该在定义域内,你只要用K=0代入四个选择支去验证,就很快发现A、B、C不对。如用解简单三角不等式也可以,比较慢。

d,