A female NYPD cop was slashed in the face in Brooklyn Sunday morning by a madman who was trying to get into a police precinct by the back door, sources said.

Officers chased attacker and opened fire, killing him, according to law enforcement sources. 3

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The attack happened after the man tried to enter the 73rd Precinct in Brownsville via an employee entrance about 5:15 a.m. When a cop stopped him and told him to go through the front door, he pulled out a knife and slashed her in the face, sources said.

Her head wound is described as minor. 3

The attacker, a man in his 40s, was then chased down the street by officers, before brandishing a knife and charging at cops outside a housing project near East New York Avenue and Amboy Street.

He was shot by two officers and rushed t

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