由题意设x1=x3=x5=……=x2007=x2009=a,
x2=x4=x6=……=x2006=x2008=b
则a+b=1,1005a+1004b=2009,
联立解得a=1005,b=-1004
即x1=x3=x5=……=x2007=x2009=1005,
x2=x4=x6=……=x2006=x2008=-1004.