PLTS OF A MIL BLACKHAWK HELI RPTED A NEAR MISS WITH A C172 PRACTICING MANEUVERS DURING PLT TRAINING BTWN 1600-2000 FT AGL.

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MY STUDENT AND I WERE ON A NORTHERLY HDG AT 8000 FT MSL (2000 FT AGL) 15 NM E OF THE COS ARPT. WE EXECUTED A SECOND 90 DEG CLRING TURN TO THE R; WHEN COS DEP CALLED A FLT OF 2 BLACKHAWK HELIS NE OF US. MY STUDENT AND I IDENTED THE FLT; OPPOSITE DIRECTION; ABOUT 6500 FT MSL (500 FT AGL) AND PROCEEDED WITH THE DEP STALL. THE BLACKHAWKS DID NOT APPEAR TO BE A CONFLICT AND WERE APPROX A FEW HUNDRED FT AGL. AS THE ACFT WAS BROUGHT INTO THE STALL ATTITUDE THE STUDENT DID NOT APPLY THE CORRECT AMOUNT OF R RUDDER. THE ACFT'S HDG CHANGED FROM ABOUT 090 DEGS TO 060 DEGS DURING THE 'OVERROTATION.' WHEN THE ACFT STALLED THE L WING DROPPED SUDDENLY. I TOOK CTL OF THE ACFT; PULLED THE THROTTLE TO IDLE; PLACED THE AILERONS IN THE NEUTRAL POS; APPLIED FULL R RUDDER; AND BROKE THE STALL WITH THE ELEVATOR. WE RECOVERED THE ACFT IN A NW HDG. WE LOST APPROX 300-400 FT IN THE FIRST 1/4 OF A TURN (7600-7700 FT MSL -- WE CLBED A BIT BEFORE THE STALL). WE STILL HAD THE BLACKHAWKS IN SIGHT; AND PROCEEDED TO TURN TO THE S. I CONTINUED THE LESSON WITH A DISCUSSION OF STALL/SPIN AWARENESS; AND THE PROPER USE OF AILERONS. OUR ACFT PASSED WELL ABOVE AND BEHIND THE 2 BLACKHAWKS; AND WAS NEVER IN A POS TO CREATE A COLLISION HAZARD. 6 HRS LATER; I RECEIVED A CALL FROM THE COS TWR; AND WAS TOLD THAT THE BLACKHAWK CREW FILED AN NMAC. WE TRAIN IN THE 'E PRACTICE AREA' AND SHARE THAT AIRSPACE WITH COMMERCIAL AIR TFC; MIL TFC (PETERSON AFB AND BUTTS AAF) AND ABOUT 8 OTHER FLT SCHOOLS. I BELIEVE THAT SAFETY IS PARAMOUNT AND USE THE COS RADAR FACILITIES ALL THE TIME. I TEACH MY STUDENTS THE IMPORTANCE OF THE SEE AND AVOID CONCEPT AND EMPHASIZE THE IMPORTANCE OF COLLISION AVOIDANCE. I DO NOT BELIEVE THAT AN NMAC OCCURRED THAT AFTERNOON.