  Within the t-t'-J model, the physical properties of doped cuprates in the
superconducting-state are discussed based on the kinetic energy driven
superconducting mechanism. We show that the superconducting-state in cuprate
superconductors is controlled by both superconducting gap parameter and single
particle coherence, and then quantitatively reproduce some main features found
in the experiments on cuprate superconductors, including the doping dependence
of the superconducting gap parameter and superconducting transition
temperature, the electron spectral function at [\pi,0] point, the charge
asymmetry of superconductivity in the hole and electron doping, and the doping
and energy dependence of the incommensurate magnetic scattering at both low and
high energies and commensurate [\pi,\pi] resonance at intermediate energy. We
also show that the incommensurate magnetic excitations at high energy have
energies greater than the superconducting gap energy, and are present at the
superconducting transition temperature.
