函数f(x)=|sin(x/2)|+|cos(x/2)|的绝对值的最小正周期为?

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函数f(x)=|sin(x/2)|+|cos(x/2)|的绝对值的最小正周期为?
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函数f(x)=|sin(x/2)|+|cos(x/2)|的绝对值的最小正周期为?
函数f(x)=|sin(x/2)|+|cos(x/2)|的绝对值的最小正周期为?

函数f(x)=|sin(x/2)|+|cos(x/2)|的绝对值的最小正周期为?
|sin(x)|的最小正周期是pi
|sin(x/2)|和|cos(x/2)|的最小正周期都是2pi
所以f（x）最小正周期也是2pi

156464123

pi

sin(x/2)和cos(x/2)的最小正周期为4pi
则|sin(x/2)|、|cos(x/2)|的最小正周期为2pi
故f(x)的最小正周期为2pi

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