若f(x)=asin(x+π/4)+bsin(x-π/4)(ab≠0)是偶函数,则有序实数对(a,b)可以是

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若f(x)=asin(x+π/4)+bsin(x-π/4)(ab≠0)是偶函数,则有序实数对(a,b)可以是

若f(x)=asin(x+π/4)+bsin(x-π/4)(ab≠0)是偶函数,则有序实数对(a,b)可以是
若f(x)=asin(x+π/4)+bsin(x-π/4)(ab≠0)是偶函数,则有序实数对(a,b)可以是

若f(x)=asin(x+π/4)+bsin(x-π/4)(ab≠0)是偶函数,则有序实数对(a,b)可以是
由题意得偶函数所以
f(x)=f(-x)
asin(x+π/4)+bsin(x-π/4)=asin(-x+π/4)+bsin(-x-π/4)
a+b=0才可以满足上述
因此满足a=-b时候都可以
如a=2 或b=-2