Based on a δ-magnetic-barrier and a δ-electric-barrier, we propose a magnetoelectric nanostructure, which can be constructed by patterning a half-infinitely wide ferromagnetic (FM) stripe and a narrow Schottky-metal (SM) stripe in a parallel configuration on the surface of GaAs/AlxGa1-xAs heterostructure. An obvious wave-vector filtering (WVF) effect occurs thanks to an essentially two-dimensional process for electron across the magnetoelectric nanostructure. WVF efficiency is associated with electronic energy, transverse wave vector and magnetic field; especially it can be modulated by rationally fabricating the SM stripe. These interesting features are helpful for developing electron-momentum filter (EMF) in nanoelectronics.