题目内容
【题目】已知命题p:x1 , x2∈R,(f(x2)﹣f(x1))(x2﹣x1)≥0,则¬p是( )
A.x1 , x2∈R,(f(x2)﹣f(x1))(x2﹣x1)≤0
B.x1 , x2∈R,(f(x2)﹣f(x1))(x2﹣x1)≤0
C.x1 , x2∈R,(f(x2)﹣f(x1))(x2﹣x1)<0
D.x1 , x2∈R,(f(x2)﹣f(x1))(x2﹣x1)<0
【答案】C
【解析】解:命题p:x1 , x2∈R,(f(x2)﹣f(x1))(x2﹣x1)≥0是一个全称命题,其否定是一个特称命题,
故p:x1 , x2∈R,(f(x2)﹣f(x1))(x2﹣x1)<0.
故选:C.
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