因为等差数列中满足:a1+a11=a3+a9=a5+a7已知a3+a5+a7+a9=12所以,a1+a11=a3+a9=a5+a7=12÷2=6已知是正项等差数列,即an>0所以,a1*a11≤[(a1+a11)/2]^2=9——答案:B
因为是等差数列,所以a3+a9=a5+a7=a1+a11=6a1a11的最大值是当a1=a11,即a1=a11=3时所以答案是9
a1+a11=a3+a9=a5+a7,你懂得,所以a1+a11=6,由均值定理,a1*a11≤9