One kind of terahertz resonator consisting of split-ring resonator (SR) and cut wires (CW), which has electromagnetically induced transparency (EIT), is studied theoretically and experimentally. The transmission characteristics of the resonators containing one or two gaps for the split ring are numerically simulated, and the impact of the relative position of the split ring on their resonant peaks intensity and Q-factor are analyzed. The resonant peaks of EIT spectra of SR/CW resonators are found around 0.7 THz due to destructive interference between the LC resonance of the split-ring resonator and the dipole resonance of the cut wires. Both the amplitude and Q-factor of the EIT resonance are very sensitive to the position shift of the split ring for the SR/CW resonator with one gap, and are insensitive for the two gaps. Finally, the SR/CW resonators are fabricated on polyimide substrate using laser-induced and chemical non-electrolytic plating with copper, the transmission properties of which characterized by THz time domain spectroscopy are in good agreement with simulations.