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The photon transport in a coupled-resonator waveguide coupled to a two-mode nanocavity embedded with a three-level emitter is investigated.The transmission and reflection amplitudes are obtained by using the discrete coordinates approach.We show that the coherent transport properties of a single photon can be well controlled by detuning the coupling strength between the two-mode nanocavity and the emitter,and the coupling strength between the nanocavity and the coupled-resonator waveguide. These results may be useful for the design of photonic devices such as optical filters.