Answer:
The lift/propulsion method used by a helicopter is capable of producing an overall thrust vector with virtually no horizontal motion. The lift method of planes (fixed wing), requires movement to produce lift.
There are many possible helicopter configurations - most designs use some variation of multiple rotors placed in such a manner that rotational force is compensated for, allowing stable flight. Lift is able to be generated because the rotors (which are essentially just spinning wings) are still moving through the air, while the airframe overall stays in the same place.