The extreme ultraviolet radiation properties of the earth plasmasphere was firstly studied, which shows that the plasmapause is mainly located near 35 081.75 km, the typical scale of the plasmasphere structures is 637.85 km, and the He+ 30.4 nm emission intensity is between 0.02 and 11.4 Rayleigh when the plasmasphere is detected from the moon. Then,the orbital characteristics and surface environmental properties of the moon were described and it is pointed out that the total imaging period of an extreme ultraviolet imager is 12 d, in which the maximum latitudinal drift of the positioning of the camera is 7° while the maximum longitudinal drift is 6°. The extreme ultraviolet radiation of the lunar surface was analyzed,and results indicate that the extreme ultraviolet radiation reflected by lunar surface is 2.0 Rayleigh at solar maximum,which has the same order in the magnitude as compared with the plasmasphere emission. Based on the SELENE observation data, topographic properties in the five planned landing sites were explored,it proves that the extreme ultraviolet radiation reflected by lunar surface in these sites can not enter the field of view of the camera. For the five sites, Sinus Iridum is the most ideal site for moon-based extreme ultraviolet imaging. The proton and electron fluxes on the lunar surface were analyzed using Apollo-12 and Apollo-15 SWC experiment data,results show that the total fluences of protons and electrons are both approximately 5×1015 cm-2 in one-year period. During a lunation, the lunar surface temperature changes from 80 K at lunar night to 390 K at lunar noon according to Apollo-12 observation. Above results provide an important basis for the design of moon-based extreme ultraviolet imagers.