函数f(x)=2sin(1/2x-π/6),当f(x)取得最小值时,x的取值集合为______.
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函数f(x)=2sin(1/2x-π/6),当f(x)取得最小值时,x的取值集合为______.
函数f(x)=2sin(1/2x-π/6),当f(x)取得最小值时,x的取值集合为______.
函数f(x)=2sin(1/2x-π/6),当f(x)取得最小值时,x的取值集合为______.
当1/2x-π/6=2kπ-π/2,k∈Z时,f(x)有最小值2
即(1/2)x=2kπ-π/3,k∈Z时,f(x)有最小值2
即 x=4kπ-2π/3,k∈Z时,f(x)有最小值2
∴ 当f(x)取得最小值时,x的取值集合为{x|x=x=4kπ-2π/3,k∈Z}
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