(1)、二次函數(shù)y=f(x)的導(dǎo)數(shù)為f'(x)=2x+2
∴可設(shè)二次函數(shù)f(x)=x²+2x+C
又∵二次函數(shù)y=f(x)的圖像經(jīng)過坐標(biāo)原點(diǎn)
∴C=0,即二次函數(shù)f(x)=x²+2x
又∵數(shù)列{an}的前n項(xiàng)和為Sn,點(diǎn)（n,Sn)(n屬于N)均在函數(shù)y=f(x)的圖像上
∴Sn=n²+2n
∴a1=S1=3
an=Sn-S(n-1)
=n²+2n-[(n-1)²+2(n-1)]
=2n+1
(2)、∵bn=2/ana(n+1)
=2/[(2n+1)(2n+3)]
=1/(2n+1)-1/(2n+3)
∴Tn=b1+b2+b3+……+bn
=2/a1a2+2/a2a3+3/a3a4+……+2/ana(n+1)
=(1/3-1/5)+(1/5-1/7)+……+[1/(2n+1)-1/(2n+3)]
=1/3-1/(2n+3)
=2n/[3(2n+3)]