问题
选择题
设M=2a(a-2)+3,N=(a-1)(a-3),a∈R,则有( )
A.M>N
B.M≥N
C.M<N
D.M≤N
答案
M-N=[2a(a-2)+3]-(a-1)(a-3)
=(2a2-4a+3)-(a2-4a+3)
=a2≥0,故M≥N,
故选B
设M=2a(a-2)+3,N=(a-1)(a-3),a∈R,则有( )
A.M>N
B.M≥N
C.M<N
D.M≤N
M-N=[2a(a-2)+3]-(a-1)(a-3)
=(2a2-4a+3)-(a2-4a+3)
=a2≥0,故M≥N,
故选B