Rydberg atoms can be used for high-precision, self-calibrating measurements of microwave and terahertz fields due to their large polarizability and electric dipole moments and high sensitivity to external electric fields. In this paper, the research progress of using the Electromagnetically Induced Transparency(EIT) effect and the Autler-Townes(AT) splitting of Rydberg atoms to achieve high-precision detection of microwave and terahertz fields, is reviewed, as well as the research of Rydberg atoms in fast terahertz imaging.