Asymmetric multifunctional heterogeneous membranes are demonstrated by combing a block copolymer polystyrene-block-poly(N, N-dimethylaminoethylmethacrylate) membrane with a track-etched porous poly(ethylene terephthalate) membrane. This hybrid membrane is capable of integrating pH-and temperature-cooperative high-performance ionic rectification, highly efficient cation gating, and excellent stability and controllability, which allows broad application in biosensing, energy conversion, and filtration.