lastyoudaoicibaDictYouDict[last 词源字典]
last: [OE] Modern English has three separate words last, two of which are related. The adjective, meaning ‘after all others’, originated in prehistoric Germanic as the superlative form of late; its modern Germanic relatives include German letzt and Dutch laatst. The verb last ‘continue’ goes back to a prehistoric Germanic *laistjan ‘follow a track’, which also produced modern German leisten ‘perform, afford’.

This was derived from *laisti-, as was ultimately the noun last, which in Old English meant ‘footprint’ (‘shoemaker’s model foot’ is a secondary development). The general semantic thread ‘following a track’ can be traced back further via Germanic *lais- (a variant of which gave English learn) to Indo-European *leis- (source of Latin dēlīrāre, literally ‘deviate from a straight track’, from which English gets delirious [18]).
=> delirious, late, learn[last etymology, last origin, 英语词源]
last (adj., adv.)youdaoicibaDictYouDict
"following all others," from Old English latost (adj.) and lætest (adv.), superlative of læt (see late). Cognate with Old Frisian lest, Dutch laatst, Old High German laggost, German letzt. Meaning "most recent" is from c. 1200. The noun, "last person or thing," is c. 1200, from the adjective. Last hurrah is from the title of Edwin O'Connor's 1956 novel. Last word "final, definitive statement" is from 1650s. A dying person's last words so called by 1740. As an adjective, last-minute attested from 1913. Last-chance (adj.) is from 1962.
last (v.)youdaoicibaDictYouDict
"endure, go on existing," from Old English læstan "to continue, endure," earlier "accomplish, carry out," literally "to follow a track," from Proto-Germanic *laistjan "to follow a track" (cognates: Gothic laistjan "to follow," Old Frisian lasta "to fulfill, to pay (duties)," German leisten "to perform, achieve, afford"), from PIE *leis- (1) "track, furrow" (see learn).

Related to last (n.), not to last (adj.). Related: Lasted; lasting.
last (n.)youdaoicibaDictYouDict
"shoemaker's block," from Old English læste, from last "track, footprint, trace," from Proto-Germanic *laist- (cognates: Old Norse leistr "the foot," Middle Dutch, Dutch leest "form, model, last," Old High German leist "track, footprint," German Leisten "last," Gothic laistjan "to follow," Old English læran "to teach"); see last (v.).