一、选择题(本大题共6个小题,每小题6分,共36分)
1.(精选考题·北京高考)在等比数列{an}中,a1=1,公比|q|≠1.若am=a1a2a3a4a5,
则m=( )
A.9 B.10 C.11 D.12
解析:由题知am=|q|m-1=a1a2a3a4a5=|q|10,所以m=11.
答案:C
2.(精选考题·广元质检)已知数列{an}满足a1=2,an+1=(n∈N*),则连乘积a1a2a3…a2009a精选考题的值为( )
A.-6 B.3 C.2 D.1
解析:∵a1=2,an+1=,∴a2=-3,a3=-,a4=,a5=2,∴数列{an}的周期为4,且a1a2a3a4=1,
∴a1a2a3a4…a2009a精选考题=a2009a精选考题=a1a2=2×(-3)=-6.