We investigate the motion of electrons in linear polarization relativistic laser standing wave field. The dependences of scattering electron incident in laser polarization plane on the electron initial position, energy and the laser intensity are analyzed. The results indicate that the interaction between electron scattering and sanding wave has a close relationship with the electron relative energy γ0/a0. The initial energy of electron has a critical value by which the forward and backward scattering can be distinguished from each other. The critical energy needed for electron forward scattering increases by the laser intensity. Measured by electronic relative energy, the critical value is in a about 1.0-1.25 range. For the same initial energy, the extent of electron incident plane leading to the forward scattering reduces when the laser intensity becomes higher. Moreover, electrons with low energy easily tend to pass through the standing wave from node planes. Electron oscillation-center and ponderomotive force reversal effect exist merely when the electron relative energy is in a certain range. The electron initially rest on optical axis. The inelastic scattering in which the energy can be exchanged between the electron and the field is also discussed.