Mathematica language is used to make a program that can solve the three_body pro blem with variational method. Considering the nuclear motion, the nonrelativisti c ground energies and the analytic wave functions of the helium atom and the hel ium_like ions (H+, He, Li+, Be++, B3+, C4+, N5+, O6+) are presented by using a simp le effective variational wave funct ion with a flexible parameter k. Based on these results, the influence of a finite nucleus charge radius, the relativistic and radiative corrections on the nonrelativistic Hamiltonian are discussed. The high precision values of the heli um atom and the helium_like ions ground energies are evaluated.