等差数列[an]的公差d包含于(0,1),且sin^2*a3-sin^2*a7/sin(a3+a7)

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等差数列[an]的公差d包含于(0,1),且sin^2*a3-sin^2*a7/sin(a3+a7)
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等差数列[an]的公差d包含于(0,1),且sin^2*a3-sin^2*a7/sin(a3+a7)
等差数列[an]的公差d包含于(0,1),且sin^2*a3-sin^2*a7/sin(a3+a7)

等差数列[an]的公差d包含于(0,1),且sin^2*a3-sin^2*a7/sin(a3+a7)
sin²a3=(1/2)(1-cos2a3)
sin²a7=(1/2)(1-cos2a7)
sin(a3+a7)=sin2a5
于是cos2a7-cos2a3=-2sin2a5
2sin(a7+a3)sin(a7-a3)=-2sin2a5【和差化积】
sin4d=-1,0<d<1
于是d=π/4
s10最小,于是a10≤0且a11≥0
a1+9d≤0,且a1+10d≥0
得-5π/2≤a1≤-9π/4