
第二小题!!!!!!!
2个回答
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(2)
设k(t)=f(t)-g(t)
=sin(2x+π/3)+sin(2x-π/3)-√3cos2x
= 2sin2xcosπ/3-√3cos2x
=sin2x-√3cos2x
=2(1/2sin2x-√3/2cos2x)
=2sin(2x-π/3)
∴k(t)min=-2,k(t)max=2
即|MN|max=2
设k(t)=f(t)-g(t)
=sin(2x+π/3)+sin(2x-π/3)-√3cos2x
= 2sin2xcosπ/3-√3cos2x
=sin2x-√3cos2x
=2(1/2sin2x-√3/2cos2x)
=2sin(2x-π/3)
∴k(t)min=-2,k(t)max=2
即|MN|max=2
追答
设k(x)=f(x)-g(x)
=sin(2x+π/3)+sin(2x-π/3)-√3cos2x
= 2sin2xcosπ/3-√3cos2x
=sin2x-√3cos2x
=2(1/2sin2x-√3/2cos2x)
=2sin(2x-π/3)
∴k(x)min=-2,k(x)max=2
即|MN|max=2
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