∵A={x|y=lgx},
x>0
∴A={x|x>0},
∵B={x|1/(x-1)≤1},
1/(x-1)≤1
(x-2)/(x-1)≥0
x≥2或x≤1
∴B={x|x≥2或x≤1},
则 A∩B={x|0