Cops pursued and opened fire on an armed man suspected of shooting a 15-year-old boy in the chest in a Bronx park, police said Saturday.

The police bullets missed their target in the clash at 11 p.m. Friday, but officers nabbed their suspect anyhow.

The incident marked the second time cops shot at someone in the city Friday, and the sixth such incident in eight days, city officials said. Both of Friday’s police-involved shootings were reported in the Bronx.

Police were called to Claremont Park near Morris and Teller Aves. about 11:10 p.m. after the 15-year-old boy was shot.

Cops racing to the scene found the wounded adolescent and saw two other males riding off on a scooter, police said. One of those on the scooter, a 19-year-old man, had a gun in his hand.

The officers drew their weapons and ordered the man to drop his gun, cops said.

He refused and raised his weapon at the officers, one of whom fired off at least one round, hitting no one, officials said.

The suspects ditched the scooter and ran off — but cops said they apprehended the 19-year-old gunman and recovered the firearm. Charges against the teen were pending Saturday.

EMS rushed the wounded 15-year-old boy to St. Barnabas Hospital, where he’s expected to survive, cops said.

A motive behind the shooting was not immediately disclosed.

Earlier Friday about 1 ½ miles away, cops shot and wounded an emotionally disturbed man waving a large knife and a pair of scissors at them outside an assisted living facility in Morrisania.

Four cops from the 42nd Precinct arrived on Washington Ave. near E. 164th St. in Concourse Village just before 9 a.m. after a case worker at the facility reported that a 38-year-old man was “in mental distress and armed with a large pair of scissors,” NYPD Chief of Patrol John Chell said at a news conference near the shooting scene.

When officers called out to the man, he charged thems “in a full-fledged sprint,” the chief said.

One of the four officers fired his weapon three times, hitting the charging man twice in the shoulder. EMS rushed the man to an area hospital where he is expected to survive.

The wounded man remained in the hospital undergoing treatment and a psychiatric exam, cops said Saturday. It wasn’t immediately clear if criminal charges would be filed against him.

The unusual string of police-involved shootings in the city began April 13, when a 78-year-old Brooklyn man who answered a door knock with a gun in his hand was fatally shot by two NYPD officers.

That same day, police shot a suspect who advanced toward them with a knife after stabbing a church security guard in Jamaica, Queens.

Hours later, cops shot and wounded a man when he pointed a gun at them on the catwalk of elevated tracks by a Bronx subway station, authorities said. The weapon turned out to be a plastic pellet gun — but it lacked orange paint on the end of its barrel, and looked like a handgun, according to a criminal complaint.

The suspect in that case, Remie Sanchez, was slapped with charges including unlawful possession or use of an imitation pistol and placed on supervised release following a court appearance.

Last Sunday afternoon, Staten Island cops opened fire on a gunman who refused to drop his weapon. No one was struck in the shooting, and the man ultimately gave up and was arrested.