题目内容
11.如果a1,a2,…,a8为各项都大于零的等差数列,公差d≠0,则(A)a1a8>a4a5 (B)a1a8<a4a5
(C)a1+a8>a4+a5 (D)a1a8=a4a5
B
解析:a1+a8=a4+a5,∴排除C.
又a1a8=a1(a1+7d)=a12+7a1d,
a4a5=(a1+3d)(a1+4d)=a12+7a1d+12d2>a1a8.
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题目内容
11.如果a1,a2,…,a8为各项都大于零的等差数列,公差d≠0,则(A)a1a8>a4a5 (B)a1a8<a4a5
(C)a1+a8>a4+a5 (D)a1a8=a4a5
B
解析:a1+a8=a4+a5,∴排除C.
又a1a8=a1(a1+7d)=a12+7a1d,
a4a5=(a1+3d)(a1+4d)=a12+7a1d+12d2>a1a8.