In this paper, we propose the design of a metasurface that can achieve three functions in different frequency bands. The proposed metasurface is composed of two kinds of unit cells which are designed on the basis of the spatial k-dispersion engineering of spoof surface plasmon polaritons (SSPPs). By arranging these two kinds of unit cells in the chessboard configuration, the three functions of transmission, anomalous refraction and absorption can be integrated into one metasurface. High transmission and strong absorption can be achieved in 2.0-9.0 GHz and 12.6-20.0 GHz, respectively. Meanwhile, anomalous refraction can be achieved in 10-11.7 GHz due to forward scattering cancellation of two unit cells. To verify the design, a prototype was fabricated and measured. The measured results are consistent with the simulation ones. The metasurface can integrate multiple functions into one aperture and therefore has potential application values in multifunctional microwave devices such as shared-aperture antennas, etc.