We have investigated the process J/ψ→K¯0K+ρ− by taking into account the S-wave K*K¯*, ρω, and ρϕ final-state interactions, where the scalar meson a0(1710) is generated. In addition, we also take into account the contributions from the scalar a0(980)(→K¯0K+) and the intermediate resonances K1(1270)−(→K¯0ρ−) and K1(1270)0(→K+ρ−). Our results show that, in the K¯0K+ invariant mass distribution, a clear peak structure around 1.8 GeV appears, which could be associated with the scalar a0(1710), however, no significant structure of the a0(980) is observed. On the other hand, one can find clear peaks of the K1(1270) in the K¯0ρ− and K+ρ− invariant mass distributions. The future precise measurement of this process by the BESIII and Belle II Collaborations and the planned Super Tau-Charm Facility in the future could shed light on the nature of a0(1710). Published by the American Physical Society 2024