问题 选择题 若a-1a=2,则a2+1a2的值为( )A.0B.2C.4D.6 答案 ∵a-1a=2,∴(a-1a)2=22,∴a2-2a•1a+(1a)2=4,∴a2-2+1a2=4,∴a2+1a2=6.故选D.