问题 选择题 若x+1x=3,则x4+x2+1x2=( )A.5B.6C.7D.8 答案 ∵若x+1x=3,∴两边平方得:x2+1x2+2=9,∴x2+1x2=7∴原式=(x4+x2+1)×1x2=x2+1x2+1=7+1=8.故选D.