A novel Electromagnetically Induced Transparency(EIT)-like metamaterial of terahertz domain is presented. The unit cell consists of a couple of asymmetric Cut Wires(aCWs). When the incident electric field is perpendicularly polarized, the destructive interference between two magnetic trapped modes is observed at 0.580 8 THz, which produces an exotic transparent peak with high Q factor. A Split Ring Resonators(SRR) is added in aCWs, and a new resonant peak emerges due to the destructive interference of the SRRs and aCWs. The sensing performance of the transparent peak produced by aCWs is improved. Numerical simulations indicate that the aCWs and the structure composed by aCWs and SRRs(aCWs/SRRs) can be applied as single band and dual band bandpass filter in terahertz domain. The proposed structures provide new insight into designing EIT-like metamaterial.