求解,高一数学
3个回答
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16.(1) 当m=0时,f(x)=(1+1/tanx)sin^2(x)+0
=sinx(sinx+cosx)
=√2sinxsin(x+π/4)
=-√2/2[cos(2x+π/4)-cosπ/4]
=1/2-cos(2x+π/4)
在区间[π/8,3π/4]上, f(x)的值域[1/2-√2/2,3/2]
(2) 当tana=2时,sin^2(a)=4/5,f(a)=(3/2)*(4/5)-m/2(cos2x-cosπ/2)=6/5+3m/10=3/5, m=-2
=sinx(sinx+cosx)
=√2sinxsin(x+π/4)
=-√2/2[cos(2x+π/4)-cosπ/4]
=1/2-cos(2x+π/4)
在区间[π/8,3π/4]上, f(x)的值域[1/2-√2/2,3/2]
(2) 当tana=2时,sin^2(a)=4/5,f(a)=(3/2)*(4/5)-m/2(cos2x-cosπ/2)=6/5+3m/10=3/5, m=-2
追问
和答案不对啊
谢谢了,虽然不对
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