Accurate determination of the stellar atmospheric parameters of RR Lyrae stars (RRLs) requires short individual exposures of the spectra to mitigate pulsation effects. We present improved template-matching methods to determine the stellar atmospheric parameters of RRLs from single-epoch spectra of the Large Sky Area Multi-Object Fiber Spectroscopic Telescope, also known as the Guoshoujing Telescope (LAMOST). We determine the radial velocities and stellar atmospheric parameters (effective temperature Teff, surface gravity logg, and metallicity [M/H]) of 10486 and 1027 RRLs from 42729 LAMOST low-resolution spectra (LRS) and 7064 LAMOST medium-resolution spectra (MRS), respectively. Our results are in good agreement with the parameters of other databases, where the external uncertainties of Teff, logg, and [M/H] for LRS/MRS are estimated to be 207/142K, 0.21/0.16dex, and 0.24/0.18dex, respectively. We conclude with the variation characteristics of the radial velocities (RV) and stellar atmospheric parameters for RRLs during the pulsation phase. There is a significant difference of 28+/-21km/s between the peak-to-peak amplitude (A_ptp_) of RV from the H{alpha} line (RV_H{alpha}) and from metal lines (RV_metal) for RRab, whereas it is only 4+/-17km/s for RRc. The A_ptp_ of Teff is 930+/-456 and 409+/-375K for RRab and RRc, respectively. The logg of RRab shows a mild variation of approximately 0.22+/-0.42dex near the phase of {phi}=0.9, while that of RRc almost remains constant. The [M/H] of RRab and RRc show a minor variation of about 0.25+/-0.50 and 0.28+/-0.55dex, respectively, near the phase of {phi}=0.9. We expect that the determined stellar atmospheric parameters would shed new light on the study of stellar evolution and pulsation, the structure of the Milky Way, as well as other research fields.

Cone search capability for table J/ApJS/272/31/targets (List of 11513 Gaia DR3 targets from Tables 2 and 3; table added by CDS)

Cone search capability for table J/ApJS/272/31/table2 (The radial velocities and stellar atmospheric parameters of LAMOST DR10 LRS (R~1800) for 10486 RRLs)

Cone search capability for table J/ApJS/272/31/table3 (The radial velocities and stellar atmospheric parameters of LAMOST DR10 MRS (R~7500) for 1027 RRLs)