已知命题p:
x 1,x 2∈R,(f(x 2)-f(x 1))(x 2-x 1)≥10,则¬p是______。
A.
x 1,x 2∈R,(f(x 2)-f(x 1))(x 2-x 1)≤0
B.
x 1,x 2∈R,(f(x 2)-f(x 1))(x 2-x 1)≤0
C.
x 1,x 2∈R,(f(x 2)-f(x 1))(x 2-x 1)<0
D.
[解析] 命题p为全称命题,所以其否定¬p应是特称命题,又(f(x2)-f(x1))(x2-x1)≥0否定为(f(x2)-f(x1))(x2-x1)<0,故选C。