As shown in the figure, the straight line y = 3x + 3 intersects the X axis at point a, and intersects the Y axis at point B. take AB as the right angle side, make isosceles RT △ ABC, ∠ BAC = 90 °, AC = AB, and the hyperbola y = KX passes through point C ① Find the analytic formula of hyperbola; 2. Point P is a point on the fourth quadrant hyperbola, connecting BP, point Q (x, y) is a moving point on line AB, QD ⊥ BP through Q, if QD = n, ask whether there is a point P such that y + n = 3? If it exists, find the BP analytic formula of straight line; if it does not exist, explain the reason

As shown in the figure, the straight line y = 3x + 3 intersects the X axis at point a, and intersects the Y axis at point B. take AB as the right angle side, make isosceles RT △ ABC, ∠ BAC = 90 °, AC = AB, and the hyperbola y = KX passes through point C ① Find the analytic formula of hyperbola; 2. Point P is a point on the fourth quadrant hyperbola, connecting BP, point Q (x, y) is a moving point on line AB, QD ⊥ BP through Q, if QD = n, ask whether there is a point P such that y + n = 3? If it exists, find the BP analytic formula of straight line; if it does not exist, explain the reason

① From y = 3x + 3, a (- 1,0), B (0,3), (OA = 1, OB = 3. From y = 3x + 3, a (- 1,0), B (0,3), (OA = 1, OB = 3. The \\\\ (0,3), (OA = 1, OB = 3, \\\ = 3, a (- 1,0), B (0,3), (OA = 1, OB = 1, OB = 3, and ob = 3. \\\\\\\\\\\\\\\\\\\\\\\\\\makeqm The \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\inthe right angle △ BOE, by Pythagorean theorem, Let 32 + x2 = (x + 1) 2, x = 4, e (4, 0). Let the analytic expression of the straight line BP be y = KX + B (K ≠ 0) ‖ B = 34k + B = 0, and the solution be k = − 34B = 3, y = - 34x + 3