y=cos x(cos x+sin x)的值域是?
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y=cos x(cos x+sin x)的值域是?
y=cos x(cos x+sin x)的值域是?
y=cos x(cos x+sin x)的值域是?
y=cos²x+sinxcosx
=(1+cos2x)/2+1/2*sin2x
=(sin2x+cos2x)/2+1/2
=√2sin(2x+π/4)/2+1/2
所以最大(√2+1)/2
最小(-√2+1)/2
值域[(-√2+1)/2,(√2+1)/2]
y=2cos x (sin x+cos x)
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