问题
选择题
“若x2=1,则x=1或x=-1”的否命题是( )
A.若x2≠1,则x=1或x=-1
B.若x2=1,则x≠1且x≠-1
C.若x2≠1,则x≠1或x≠-1
D.若x2≠1,则x≠1且x≠-1
答案
x2=1的否定为x2≠1,x=1或x=-1的否定为“x≠1且x≠-1”.
故命题“若x2=1,则x=1或x=-1”的否命题是:“若x2≠1,则“x≠1且x≠-1”
故选D
“若x2=1,则x=1或x=-1”的否命题是( )
A.若x2≠1,则x=1或x=-1
B.若x2=1,则x≠1且x≠-1
C.若x2≠1,则x≠1或x≠-1
D.若x2≠1,则x≠1且x≠-1
x2=1的否定为x2≠1,x=1或x=-1的否定为“x≠1且x≠-1”.
故命题“若x2=1,则x=1或x=-1”的否命题是:“若x2≠1,则“x≠1且x≠-1”
故选D