Shot NYPD cop Brian Moore died Monday with his anguished family at his hospital bedside, as police said they now have the murder weapon to put his career-criminal killer away for good.
Moore, 25, a decorated Queens officer, was taken off life support at Jamaica Hospital in the early afternoon following brain surgery. Grief for the fallen officer spread across the country.
“He came from a family of police officers,’’ President Obama said at a Bronx event.
“And the family of officers he joined in the NYPD and across the country deserve our gratitude and our prayers — not just today, but every day.”
“They’ve got a tough job,’’ the president added to applause.
“Which is why, in addressing the issues in Baltimore or Ferguson or New York, the point I made was that if we’re just looking at policing, we’re looking at it too narrowly,” Obama said.
“If we ask the police to simply contain and control problems that we ourselves have been unwilling to invest and solve, that’s not fair to the communities, it’s not fair to the police.”
Obama’s comments came as detectives located the weapon they believe was used to gun down Moore — a silver Taurus Model 85, five-shot revolver with a 2-inch barrel.
It was found under a box near a backyard barbecue grill near the home where Demetrius Blackwell was arrested about 90 minutes after the Saturday-evening shooting.
“When we lifted the box, there it was,’’ NYPD Chief of Detectives Robert Boyce told reporters Monday.
The “easily concealed’’ gun was among 23 that had been stolen from a bait-and-tackle shop in Perry, Ga., on Oct. 3, 2011, Boyce said. Ten of the weapons have since been recovered — nine of them in New York City, he said.
Boyce said investigators have two witnesses who heard shots and then saw Blackwell running from the scene with a silver handgun. They also have video of the suspect fleeing, he said.
Moore’s partner, Erik Jansen, also identified Blackwell as the killer, police said.
After the shooting, the violent ex-con changed his clothing and tried to hide in plain sight at the nearby house he had been crashing at the past few weeks, officials said.
Blackwell fired three shots, hitting Moore once. The violent ex-con changed his clothing and tried to hide in plain sight at the nearby house where he had been staying the past few weeks, officials said.
Asked if it was clear whether Blackwell knew he was shooting a cop, since the police vehicle was unmarked, Boyce said there was a telltale clue left in the street — one officer’s badges. 
Hel added that Blackwell was a known neighborhood baddie, whom even his relatives disliked.
“We found out he’s been estranged from everybody in his family,’’ Boyce.
A cousin told The Post on Monday that Blackwell’s uncle had taken out an order of protection against him.
“The family is really distraught over this whole thing. My family, we don’t condone this,’’ she said.
Blackwell allegedly shot at the officers after they stopped him on the street in Queens Village just before 6:15 p.m. to ask about the suspicious object in his waistband.
The attempted-murder rap against him was upgraded to first-degree murder — which could land him behind bars for life — after Moore died.
The Queens District Attorney’s Office will begin presenting its case to a grand jury Tuesday.
“In [Moore’s] very brief career, less than five years, he had already proven himself to be an exceptional young officer,’’ Police Commissioner Bill Bratton said earlier in the day outside Jamaica Hospital.
A team of surgeons determined at about 8 a.m. that Moore had no brain activity, sources said, and the police chaplain administered last rites at around noon.
Before Moore was removed from life support, Bratton and other police officials filed into the room.
At one point, four members of Moore’s unit, including Jansen, his partner, gathered silently at his bedside and prayed.
Then his family asked to be left alone with him and said their final goodbyes as he was taken off of life support. He died shortly after.
Afterward, his body was driven to the morgue in an ambulance with a full police escort, as officers lined up to salute.
His father, retired NYPD Sgt. Raymond Moore, wept as he joined in the salute to his boy.
Thousands of mourners gathered to remember Moore during vigil at his alma mater Plainedge High School on Long Island.
Meanwhile, Blackwell “has been sleeping like a baby, he doesn’t have a care in the world’’ at Rikers Island, a source said.
His lawyer, David Bart, said that as soon as his client hears that Moore died, “I imagine he’ll probably be as saddened as I am.”
Additional reporting by Lorena Mongelli, Dana Sauchelli, Kevin Sheehan, Reuven Fenton, Sarah Trefethen and Natasha Velez
