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设函数f(x)=Asin(wx+φ)(A>0,w>0).φ分别取何值时,f(x)为奇函数和偶函数?
人气:265 ℃ 时间:2020-05-14 17:14:49
解答
f(x)为奇函数时:-f(x)=-Asin(wx+φ)=f(-x)=Asin(-wx+φ)sin(wx+φ)=-sin(-(wx-φ))=sin(wx-φ)wx+φ=wx-φ+T所以φ=k*T/2=kπ/ω,k为任意整数f(x)为偶函数时:f(x)=Asin(wx+φ)=f(-x)=Asin(-wx+φ)Asin(wx+φ)=Asin...
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