In　this　paper,　we　study　the　existence　and　bifurcation　of　subharmonic　solutions　of　a　four-dimensional　slow-fast　system　with　time-dependent　perturbations　for　the　unperturbed　system　in　two　cases:　one　is　a　Hamilton　system　and　the　other　has　a　singular　periodic　orbit,　respectively.　We　perform　the　curvilinear　coordinate　transformation　and　construct　a　Poincar,　map　for　both　cases.　Then　some　of　sufficient　conditions　and　necessary　conditions　of　the　existence　and　bifurcation　of　subharmonic　solutions　are　obtained　by　analyzing　the　Poincar,　map.　We　apply　them　to　study　the　bifurcation　of　multiple　subharmonic　solutions　of　a　honeycomb　sandwich　plate　dynamics　system　and　to　discuss　the　number　of　subharmonic　solutions　in　different　bifurcation　regions　induced　by　two　parameters.　The　maximum　number　of　subharmonic　solutions　of　the　honeycomb　sandwich　plate　system　is　7　and　the　relative　parameter　control　condition　is　obtained.