因为1+2+3+……+n=n(n+1)/2所以2010x/(1+2+3+……+n)=2010x/[n(n+1)/2]=4020x/n(n+1)又因为1/n(n+1)=1/n-1/(n+1)所以4020x/n(n+1)=4020x/n-4020x/(n+1)所以原方程可以化为：4020x/2-4020x/3+4020x/3-4020x/4+4020x/4...