In this talk, we report our main results on the study of the low-energy reactions K − p → Σ 0 π 0 , Λπ 0 ,K 0 n, ηΛ in a quark model. This model might be a powerful approach to deal with these low-energy reactions. In the analysis, we find that the u-and t-channel backgrounds play crucial roles in the low-energyKN scatterings. Significant evidence of some low-lying Λ and Σ hyperon resonances in these processes are found. Furthermore, we obtain some properties of the low-lying Λ and Σ hyperon resonances. For example, Λ(1670)S 01 should have a much stronger coupling to ηΛ, while having a weaker coupling toKN than that derived in the SU (6) ⊗ O(3) limit; the coupling of Λ(1690)D 03 to ηΛ is very small. The configuration mixing effects might be crucial to understand the strong interaction properties of the low-lying negative Λ resonances.