對任意實(shí)數(shù)x，不等式|x-1|＞kx恒成立，則k的取值范圍是．

已知函數(shù)f(x)=

ex-k，   x≤0 (1-k)x+k，x＞0

是R上的增函數(shù)，則實(shí)數(shù)k的取值范圍是．

已知函數(shù)f（x）=

ex-k，x≤0 (1-k)x+k，x＞0

 對任意x₁≠x₂，都有

f(x1)-f(x2)

x1-x2

＞0成立，則實(shí)數(shù)k的取值范圍是．

已知函數(shù)f(x)=

ex-k，   x≤0 (1-k)x+k，x＞0

是R上的增函數(shù)，則實(shí)數(shù)k的取值范圍是______．

已知函數(shù)f（x）=

ex-k，x≤0 (1-k)x+k，x＞0

 對任意x₁≠x₂，都有

f(x1)-f(x2)

x1-x2

＞0成立，則實(shí)數(shù)k的取值范圍是______．