命题:“若a2+b2≠0,则a=b=0”的逆命题是( )
A.若a=b=0(a,b∈R),则a2+b2≠0
B.若a≠b≠0(a,b∈R),则a2+b2≠0
C.若a≠0且b≠0(a,b∈R),则a2+b2≠0
D.若a≠0或b≠0(a,b∈R),则a2+b2≠0
互换原命题:“若a2+b2≠0,则a=b=0”的题设和结论,得到它的逆命题是“若a=b=0(a,b∈R),则a2+b2≠0”.
故选A.
命题:“若a2+b2≠0,则a=b=0”的逆命题是( )
A.若a=b=0(a,b∈R),则a2+b2≠0
B.若a≠b≠0(a,b∈R),则a2+b2≠0
C.若a≠0且b≠0(a,b∈R),则a2+b2≠0
D.若a≠0或b≠0(a,b∈R),则a2+b2≠0
互换原命题:“若a2+b2≠0,则a=b=0”的题设和结论,得到它的逆命题是“若a=b=0(a,b∈R),则a2+b2≠0”.
故选A.