A COMMUTER FLC EXPERIENCED TWO TCASII RA'S WHILE IN DFW CLASS B AIRSPACE. THE CREW FOLLOWED THE RA COMMANDS DURING THE SECOND INCIDENT. THE RPTR BELIEVES THAT SUCH VISUAL SEPARATION CLRNCS SHOULD NOT BE ISSUED TO LOW PERFORMANCE ACFT WHEN A HIGH PERFORMANCE ACFT IS INVOLVED.

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DEPARTED DFW RWY 17R ON THE TRIGATE 3 SID; AFTER DEP TURNED L HDG 120 DEGS AND CLBED TO 2000 FT MSL. CONTACTED DEP WHO ISSUED CESSNA TFC AT 12 O'CLOCK; 2000 FT; OPPOSITE DIRECTION AND IN A L 360 DEG TURN. TCASII CONFIRMED THIS WITH A TA. CAPT OBTAINED VISUAL WITH THE CESSNA AS THE TCASII ISSUED AN RA. WE MAINTAINED 2000 FT AND TURNED L 10 DEGS WHILE THE CAPT MAINTAINED VISUAL. CESSNA PASSED OFF OUR R WING INSIDE 1 MI; AT THE SAME ALT; AND IN A L TURN. AFTER THE ABOVE INCIDENT; DEP ISSUED A CLB TO 4000 FT AND A L TURN TO 050 DEGS. (IT WAS THE SAME FREQ BUT A DIFFERENT VOICE. MAYBE A SUPVR?) APPROX ON A 050 DEG HDG AND 15 NM NE OF DFW; DEP ISSUED A CLB TO 12000 FT. SHORTLY AFTER; THE TCASII IS ISSUING A TA. THE ACFT APPEARED 12 O'CLOCK AND 2 MI DSNDING FROM 4300 FT. WE MAINTAINED 4000 FT. DEP THEN ISSUED TFC TO US AND SAID THAT THE CESSNA TFC HAD US IN SIGHT AND WAS DSNDING TO 4000 FT. THE TCASII FOLLOWED WITH AN RA AND GAVE A 1700 FPM DSCNT INDICATION. I FOLLOWED THE RA TO APPROX 3650 FT AND THE CESSNA TFC PASSED DIRECTLY OVER US WITH 200 FT. AS SOON AS TCASII ISSUED CLR OF CONFLICT; WE RETURNED TO 4000 FT. THE CAPT SAW THE ACFT AS IT WAS PASSING OVER US AND IT WAS CLOSE ENOUGH TO SEE OIL STAINS ON THE BELLY. LUCKILY WE HAD TCASII AND DID NOT INITIATE THE CLB WHEN ISSUED. AFTER FIRST TCASII RA ATC SAID FOR US TO KEEP OUR SPD UP AT 4000 FT; AND BE READY FOR A FAST CLB. TCASII WORKED PROPERLY AND I BELIEVE PREVENTED A MIDAIR. I THINK THAT ATC SHOULD NOT ALLOW A GA PLT IN A LOW PERFORMANCE ACFT TO MAINTAIN VISUAL WITH A HIGH PERFORMANCE ACFT BECAUSE THE GA PLT PROBABLY DOES NOT HAVE ANY IDEA OF OUR PERFORMANCE CAPABILITY.