ECLIPSE 500 STUDENT PILOT ENTERED THE CLASS B AIRSPACE OF ADJACENT ARPT WHILE FLYING A VFR TFC PATTERN.

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WHILE TRAINING A 1400 HR (OVER 20 YRS) PLT WHO HAD BOUGHT AN ECLIPSE 500 VLJ AND WAS AWAITING HIS TYPE RATING TRAINING; WE FLEW IFR TO HND; AND THEN CANCELED IFR IN ORDER TO DO SOME VFR AIR WORK AND LNDGS IN THE JET. ALTHOUGH THE CLIENT/'STUDENT' HAD DONE QUITE WELL THE PREVIOUS 4 DAYS; HE WAS NOT HAVING A GOOD DAY ON THIS FLT AND REQUIRED CONSTANT ATTN; AS HE WAS WELL BEHIND THE ACFT. ON ONE OF HIS LNDG APCHS HE WAS VERY WIDE ABEAM; HAD POOR TO NO AIRSPD CTL AND WOULDN'T BANK OVER APPROX 10 DEGS; FROM BASE LEG TO FINAL; DESPITE MY REPEATED CALLS FOR HIM TO INCREASE BANK AND TIGHTEN THE TURN. AS A RESULT; WE MAY HAVE DRIFTED OVER THE ROAD THAT MARKS THE SOUTHERN BOUNDARY OF THE LAS CLASS B AIRSPACE; WHICH GOES DOWN TO THE SURFACE AT THAT POINT - OUR ALT WAS APPROX 500 FT AGL. JUST AFTER MY LAST CALL FOR HIM TO TIGHTEN THE TURN AND MONITOR HIS AIRSPD; THE STALL WARNING CAME ON AS HE INCREASED BANK AND ADDED TOO MUCH BACK PRESSURE. I TOOK OVER THE CTLS AND LANDED AFTER TELLING HIM NOT TO FIGHT ME; AS I COULD FEEL AND SEE HIS HAND ON THE SIDE STICK. EVEN THOUGH I HAD DEMONSTRATED A VFR PATTERN TO A LOW APCH PRIOR TO HIS LNDG ATTEMPTS; I THINK IT WOULD HAVE BEEN BETTER TO EITHER LET HIM FLY A STRAIGHT-IN APCH TO A FULL STOP; OR JUST 'DEMO' THE FULL STOP LNDG MYSELF. HE HAD FLOWN AND LANDED WELL THE PREVIOUS 4 DAYS; BUT THIS WASN'T HIS DAY AND I WAS TOO SLOW TO RECOGNIZE HOW FAR BEHIND THE ACFT HE WAS. IT WON'T HAPPEN AGAIN.