若函数y=(sinx)^2+acosx+5a/8-3/2(0
人气:108 ℃ 时间:2020-02-06 01:45:53
解答
y=sinxsinx+acosx+5a/8-3/2 y=1-cosxcosx+acosx+5a/8-3/2y=-cosxcosx+acosx+5a/8-1/2y=-[cosx-a/2]^2 +a^2/4+5a/8-1/2∵x∈[0,∏/2] ∴cosx∈[0,1] 令t=cosx ,则t∈[0,1] 则y=f(t)=-[t-a/2]^2 +a^2/4+5a/8-1/2 ,t∈[...
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