The intermediate resonance states in the multi-body final state process affect the detection efficiency directly.A two-dimension invariant mass spectra weight method was developed to calculate the detection efficiency of multi-body final state process.For the three-body final state e+e-→π+π-η,two intermediate processes,e.g.e+e-→ρηand e+e-→a±2πshould be considered.The study calculates the detection efficiency of this final state for the simulated data sample by employing the two-dimension invariant mass spectra weight method.The result...