A　scheme　is　proposed　for　generating　the　superpositions　of　several　cohere-at　states　in　a　cavity　field　with　dispersive　cavity　quantum　electrodynamics　(QED).　In　the　scheme,　a　sequence　of　atoms　interacts　dispersively　with　the　cavity　field,　connected　with　a　microwave　source,　and　is　manipulated　by　classical　fields,　followed　by　state-selective　measurements.　In　this　way,　the　cavity　field　is　collapsed　onto　a　superposition　of　several　coherent　states　along　a　straight　line　with　controllable　coefficients.　This　scheme　provides　the　possibility　for　quantum　state　engineering　via　coherent-state　superpositions　along　a　straight　line　in　cavity　QED　for　the　first　time.