It is known that in the plane rectangular coordinate system as shown in the figure, ab ∥ OC, ab = 10, OC = 22, BC = 15, the moving point m starts from point a and moves along AB to point B at the speed of one unit length per second, while the moving point n starts from point C and moves along CO to point o at the speed of two units length per second. When one of the moving points moves to the end, both moving points stop moving. (1) find B (2) let the motion time be T seconds; (1) when the value of T is, the area of the quadrilateral oamn is half of the area of the trapezoidal oabc; (2) when the value of T is, the area of the quadrilateral oamn is the smallest, and the minimum area is calculated; (3) if there is another moving point P, it also moves along Ao from point m and N. under the condition of (2), the length of PM + PN is just the smallest, and the velocity of the moving point P is calculated Degree

It is known that in the plane rectangular coordinate system as shown in the figure, ab ∥ OC, ab = 10, OC = 22, BC = 15, the moving point m starts from point a and moves along AB to point B at the speed of one unit length per second, while the moving point n starts from point C and moves along CO to point o at the speed of two units length per second. When one of the moving points moves to the end, both moving points stop moving. (1) find B (2) let the motion time be T seconds; (1) when the value of T is, the area of the quadrilateral oamn is half of the area of the trapezoidal oabc; (2) when the value of T is, the area of the quadrilateral oamn is the smallest, and the minimum area is calculated; (3) if there is another moving point P, it also moves along Ao from point m and N. under the condition of (2), the length of PM + PN is just the smallest, and the velocity of the moving point P is calculated Degree

(1) If BD ⊥ OC is given to D, then the quadrilateral oabd is a rectangle, ⊥ od = AB = 10, ⊥ CD = oc-od = 12, ⊥ OA = BD = bc2-cd2 = 9, ⊥ B (10,9); (2) from the meaning of the title: am = t, on = oc-cn = 22-2t, ⊥ the area of quadrilateral oamn is half of that of trapezoidal oabc, ⊥ 12 (T + 22-2t) × 9 = 12 × 1