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resolute (adj.)[resolute 词源字典]: early 15c., "dissolved, of loose structure," also "morally lax," from Latin resolutus, past participle of resolvere "untie, unfasten, loose, loosen" (see resolution). Meaning "determined, decided, absolute, final" is from c. 1500, especially in resolute answer, a phrase "common in 16th c." [OED]. From 1530s of persons. The notion is of "breaking (something) into parts" as the way to arrive at the truth of it and thus make the final determination (compare resolution). Related: Resolutely; resoluteness.[resolute etymology, resolute origin, 英语词源]
resolution (n.): late 14c., "a breaking into parts," from Old French resolution (14c.) or directly from Latin resolutionem (nominative resolutio) "process of reducing things into simpler forms," from past participle stem of resolvere "loosen" (see resolve). Sense of "a solving" (as of mathematical problems) first recorded 1540s, as is that of "power of holding firmly" (compare resolute). Sense of "decision or expression of a meeting" is from c. 1600. Meaning "effect of an optical instrument" is from 1860. New Year's resolutions in reference to a specific intention to better oneself is at least from 1780s, and through 19c. generally of a pious nature.
resolve (v.): late 14c., "melt, dissolve, reduce to liquid;" intransitive sense from c. 1400; from Old French resolver or directly from Latin resolvere "to loosen, loose, unyoke, undo; explain; relax; set free; make void, dispel," from re-, perhaps intensive, or "back" (see re-), + solvere "loosen" (see solve). Early 15c. as "separate into components," hence the use in optics (1785). Meaning "determine, decide upon" is from 1520s, hence "pass a resolution" (1580s). For sense evolution, compare resolute (adj.). Related: Resolved; resolving.