WASHINGTON — With the Obama administration in its final year, several officials have said that the president has grown so frustrated with trying to revive Middle East peace talks that he may lay down his own outline for an Israeli-Palestinian two-state peace agreement, in the form of a resolution in the United Nations Security Council.

If that happens, count on two reactions: Israel’s prime minister, Benjamin Netanyahu, will oppose it, and a chorus of American politicians and commentators will suggest that it would be unprecedented — even unthinkable — for an American president to support a Security Council resolution that Israel opposed, rather than veto it.