f(x)=1+sin(2x)+4(sinx+cosx) 求最小值f(x)=1+sin(2x)+4(sinx+cosx)求最小值答案是2-4√2
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f(x)=1+sin(2x)+4(sinx+cosx)求最小值f(x)=1+sin(2x)+4(sinx+cosx)求最小值答案是2-4√2f(x)=1+sin(2x)+4(sinx+cosx)求最小
f(x)=1+sin(2x)+4(sinx+cosx) 求最小值f(x)=1+sin(2x)+4(sinx+cosx)求最小值答案是2-4√2
f(x)=1+sin(2x)+4(sinx+cosx) 求最小值
f(x)=1+sin(2x)+4(sinx+cosx)
求最小值
答案是2-4√2
f(x)=1+sin(2x)+4(sinx+cosx) 求最小值f(x)=1+sin(2x)+4(sinx+cosx)求最小值答案是2-4√2
f(x)=1+sin(2x)+4(sinx+cosx)
=sin^2x+cos^2x+2sinxcosx+4(sinx+cosx)
=(sinx+cosx)^2+4(sinx+cosx)+4-4
=(sinx+cosx+2)^2-4
=[√2(√2/2*sinx+√2/2*cosx)+2]^2-4
=[√2(sinxcosπ/4+cosxsinπ/4)+2]^2-4
=[√2sin(x+π/4)+2]^2-4
={√2[sin(x+π/4)+√2]}^2-4
=2[sin(x+π/4)+√2]^2-4
-1
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