The verb treat is used for giving medical aid; making efforts to help a sick or injured person get better:
The doctor treated the girl with antibiotics.
Heal is typically used for injuries and wounds (not diseases), when the injury gets better naturally by the body's own processes:
It was just a minor cut, it healed in a day or two.
People wear casts to keep the broken bones in the right position while they heal.
Cure is typically used for diseases - meaning when medicine completely eliminates the disease and restores the person to health. It can be both a noun and a verb:
Antibiotics can cure minor infections.
The doctors said her cancer was cured after many weeks of chemotherapy.
Scientists have not yet found a cure for AIDS.
The verb recover describes the process of a person resting and getting back to full health after a disease, injury, or surgery:
It took him a month to recover from the injuries he suffered in the car crash.
I have a really bad cold and I'm staying home from work today to recover.
She spent a week in the hospital recovering from her kidney transplant.
Fact
Murder is the only crime that does not increase during the full moon. Theft, disorderly conduct, larceny, armed robbery, assault and battery, and rape all statistically increase dramatically during the full moon. .. More >>