amuseyoudaoicibaDictYouDict[amuse 词源字典]
amuse: [15] Amuse is probably a French creation, formed with the prefix a- from the verb muser (from which English gets muse ‘ponder’ [14]). The current meaning ‘divert, entertain’ did not begin to emerge until the 17th century, and even so the commonest application of the verb in the 17th and 18th centuries was ‘deceive, cheat’. This seems to have developed from an earlier ‘bewilder, puzzle’, pointing back to an original sense ‘make someone stare open-mouthed’.

This links with the probable source of muser, namely muse ‘animal’s mouth’, from medieval Latin mūsum (which gave English muzzle [15]). There is no connection with the inspirational muse, responsible for music and museums.
=> muse, muzzle[amuse etymology, amuse origin, 英语词源]
amuse (v.)youdaoicibaDictYouDict
late 15c., "to divert the attention, beguile, delude," from Middle French amuser "divert, cause to muse," from a "at, to" (but here probably a causal prefix) + muser "ponder, stare fixedly" (see muse (v.)). Sense of "divert from serious business, tickle the fancy of" is recorded from 1630s, but through 18c. the primary meaning was "deceive, cheat" by first occupying the attention. Bemuse retains more of the original meaning. Related: Amused; amusing.