Abstract: We discuss the issue of reflection and refraction of a polarized Gaussian beam at the interface between a transparent medium and a chiral metamaterial.Some unusual spin Hall effects of the reflected and transmitted light have been found.It is shown that the spin-dependent displacements of the reflected beam centroid can not only reach several tens of wavelengths at certain incident angles, but also the reverse effect for the transmitted beams can be realized by tuning the chiral parameters.We also discuss the issue of reflection and refraction of a polarized Gaussian beam at the interface between the dielectric medium and the moving medium.The Imbert-Fedorov shifts of the reflected and transmitted beams can reach several wavelengths of incident beam at a certain velocity when the slab moves perpendicularly to the incident plane.These findings provide a pathway for controlling the spin Hall effects of light.