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Peralta’s goal came after Manchester United right back Rafael tried to make a pass backward. Mexican midfielder Javier Aquino intercepted the ball, sending it forward to Peralta just outside the area. With no defenders near him, he calmly fired his shot just inside the near post.

Peralta’s second goal came from a free kick taken by Marco Fabian. Peralta broke away from Hulk and ran unmarked in a semicircle behind other Brazilian defenders to power in a header from near the penalty spot. Menezes complained about the foul call that led up to the second goal by the Mexicans.

Mexico could have scored after another mistake by the Brazilian defenders in the 64th. Captain Thiago Silva lost the ball in front of the goal and Marco Fabian sent an overhead kick onto the crossbar with the goalkeeper beaten.

The Mexicans also had a goal by Peralta disallowed for offside in the 69th, and Fabian missed the open net with his header from a corner in the 72nd.

Mexico’s previous best Olympic showing was at the 1968 Mexico City Games, when it lost to Bulgaria in the semifinals and then fell to Japan in the bronze match.

Brazil appeared shaken by the early goal and struggled to create scoring opportunities to equalize. Neymar started playing better in the second half and helped Brazil push forward, but struggled to get his efforts on target.

Hulk scored the team’s only goal with a low shot from inside the area in the first minute of injury time. Oscar, who just joined Chelsea, had the chance to equalize in the final moments, but his header from inside the six-yard box sailed just over the crossbar.

FIFA said Peralta’s goal was the fastest at least since the 1976 Olympics, when football’s governing body began keeping record of the competition. The fastest goal in a senior competition was scored by Turkey’s Hakan Sukur 11 seconds into a match in the 2002 World Cup in South Korea and Japan.

FIFA said the fastest goal in all competitions was scored by Brazil’s Fabinho after nine seconds in the 2007 Under-17 World Cup in South Korea.

Mexico won despite playing without Giovani Dos Santos, one of the team’s biggest stars. He was ruled out of the final because of a right hamstring injury.

It was Brazil’s first Olympic final in men’s football since the 1988 Seoul Games, when youngsters Romario and Bebeto ended with the silver. Brazil also lost the final four years earlier at the Los Angeles Games.

Brazil had to settle for the bronze in Beijing, when a team led by Ronaldinho lost to Lionel Messi and Argentina in the semifinals. The Brazilians also left with the bronze in 1996 in Atlanta with a team that included Ronaldo, Rivaldo, Roberto Carlos and Bebeto.