问题
选择题
命题“x≠1且x≠2,则x2-3x+2≠0”的逆否命题是( )
A.若x2-3x+2=0,则x=1且x=2
B.若x=1且x=2,则x2-3x+2=0
C.若x2-3x+2=0,则x=1或x=2
D.若x2-3x+2=0,则x≠1且x≠2
答案
命题“x≠1且x≠2,则x2-3x+2≠0”的逆否命题是:
若x2-3x+2=0则x=1或x=2
故选C
命题“x≠1且x≠2,则x2-3x+2≠0”的逆否命题是( )
A.若x2-3x+2=0,则x=1且x=2
B.若x=1且x=2,则x2-3x+2=0
C.若x2-3x+2=0,则x=1或x=2
D.若x2-3x+2=0,则x≠1且x≠2
命题“x≠1且x≠2,则x2-3x+2≠0”的逆否命题是:
若x2-3x+2=0则x=1或x=2
故选C