For most of Thursday night’s debate, former President Donald J. Trump verbally pummeled President Biden, painting his political opponent as an ineffective leader with a torrent of attacks that were frequently false, lacked context or were vague enough to be misleading.

Mr. Trump went directly after Mr. Biden’s personal character, calling him “weak” and little respected by global leaders who were “laughing” at him.

He tried to accuse Mr. Biden of corruption, dubbing the president as a “Manchurian candidate” who was “paid by China,” a nod to frequent accusations of undue influence for which there is no evidence.

He directly blamed Mr. Biden for a wave of immigrants “coming in and killing our citizens at a level we’ve never” seen, a hyperbolic claim that is not backed up by available statistics.

And in a wild misrepresentation of facts, Mr. Trump claimed falsely that Mr. Biden “encouraged” Russia to attack Ukraine, even though Mr. Biden has consistently tried to rally support for Ukraine and his administration took active steps to warn President Vladimir V. Putin of Russia not to invade.