Cops shot a knife-wielding Brooklyn woman in the hip after she tackled an ­officer to the ground inside her family’s Bedford-Stuy- vesant apartment, police sources said.

The woman’s parents called 911 at 3 p.m. Saturday looking for help with their emotionally disturbed daughter, police said.

Officers arrived at the Brooklyn Avenue apartment and made their way to the back, where the woman, who allegedly had two knives, charged at them, sources said.

An officer fired a single shot at the woman, 35, when she allegedly tackled one of the cops to the ground.

John Miller, head of the NYPD’s counterterrorism unit, was among the officials responding to the scene.

The woman was in serious condition at Kings County Hospital. The tackled officer was being treated for a back injury.