CHICAGO — A man who was fatally shot by the police in December as he emerged from a home with a baseball bat had called 911 seeking help from the police three times in the minutes before the shooting, but was met with curt dispatchers, according to audio of the calls made public on Monday. One of the dispatchers hung up on him when he was unwilling to elaborate on what was wrong.

The man, Quintonio LeGrier, a 19-year-old college student whose family members have said experienced emotional troubles in the months before his death, first called 911 from his father’s house at 4:18 a.m. on Dec. 26. He said he needed a police officer to come to the house, but would not give details about why or provide his last name.

“I just need an officer over here, O.K.?” Mr. LeGrier said.

“No,” the dispatcher answered, “it don’t work like that. What’s your emergency?”

Pressed three times to explain what was wrong, Mr. LeGrier finally said, “Someone is threatening my life,” then pleaded for an officer to be sent, as the dispatcher continued to seek his last name.