问题 选择题

下列说法正确的是(  )

①原命题为真,它的否命题为假

②原命题为真,它的逆命题不一定为真

③一个命题的逆命题为真,它的否命题一定为真

④一个命题的逆否命题为真,它的否命题一定为真.

A.①②

B.②③

C.③④

D.②③④

答案

①原命题为真,它的否命题和原命题没有直接的关系,∴①不正确.

②原命题为真,它的逆命题不一定为真,∴②正确.

③∵逆命题和否命题互为逆否命题,∴一个命题的逆命题为真,它的否命题一定为真,∴③正确.

④一个命题的逆否命题为真,它原命题为真,它的否命题不一定为真.∴④错误.

故选:B.

句型转换

句型转换

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