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  • 若函數(shù)f(x)=2asinxcosx-a*(根號(hào)2)*(sinx+cosx)+a+b的定義域?yàn)閇0,派/2],值域?yàn)閇-5,1],求a,b的值

    若函數(shù)f(x)=2asinxcosx-a*(根號(hào)2)*(sinx+cosx)+a+b的定義域?yàn)閇0,派/2],值域?yàn)閇-5,1],求a,b的值
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    數(shù)學(xué)人氣:473 ℃時(shí)間:2019-08-19 10:03:05
    優(yōu)質(zhì)解答
    f'(x)=2a[cos2x-cos(x+派/4)]
    令f'(x)=0 =〉
    x=派/4
    又 f(0)=(1-根號(hào)2)a+b
    =f(派/2)=(1-根號(hào)2)a+b
    所以f(派/4)=1 f(0)=-5
    或f(派/4)=-5 f(0)=1
    解之a(chǎn)=6根號(hào)2+6 b=1
    或a=--6根號(hào)2-6 b=-5
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