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High school math is awesome! The third question and the following interactive exploration.
Calculate the slopes of PA and PB respectively:

kpa =(-3- 1)/(2- 1)=-4,Kpb =(-2- 1)/(-3- 1)= 3/4;

So the slope of l is between -4 and 3/4;

Interactive part: substitute the square of L into the known straight line: 2x+3(kx-√3)-6=0, and get x = (6+3 √ 3)/(2+3k);

Make x>0 (the solution is in the first quadrant), that is, (6+3√3)/(2+3k)>0, and obtain k & gt-2/3;

In addition, 2x+3y-6=0, y=2-(2x/3)>0, x<3; So (6+3 √ 3)/(2+3k) < 3, and then get k > √ 3/3;

Comprehensive k & gt√3/3;