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)](/uploads/image/z/6872507-35-7.jpg?t=%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%97%5Ban%5D%E7%9A%84%E5%85%AC%E5%B7%AEd%E5%8C%85%E5%90%AB%E4%BA%8E%280%2C1%29%2C%E4%B8%94sin%5E2%2Aa3-sin%5E2%2Aa7%2Fsin%28a3%2Ba7%29)
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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
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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