设函数f(x)=x^3+x+2,(an)是公差不为0的等差数列( an∈R),f(a1)+f(a2)+f(a3)=6,则a1+a2+a3=
如题
人气:364 ℃ 时间:2020-06-01 09:54:39
解答
∵f(x)=x^3+x+2,∴f(x)-2=x^3+x,令g(x)=f(x)-2∴g(x)关于(0,0)对称∵f(a1)+f(a2)+f(a3)=6∴f(a1)-2+f(a2)-2+f(a3)-2=0∴g(a1)+g(a2)+g(a3)=0∴g(a2)为g(x)与x轴的交点因为g(x)...
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