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Extending Parikh and Wilczeks work to the non-stationary black hole, we discuss the Hawking radiation of the slowly varying Reissner-Nordstr(o)m black hole by considering the unfixed background spacetime and the self-gravitation interaction. The result shows that the tunnelling rate is related to both the variation of Bekenstein-Hawking entropy and the radiation spectrum deviating from the purely thermal one. This is in agreement with Parikh and Wilczeks result. Then a new method to study Hawking radiation of the non-stationary black holes is presented.