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The coordinates of (1)∫O and c are O (0 0,0) and C (8 8,6) respectively. Let the analytical formula of OC be y=kx+b,

Substitute the coordinates of two points: k = 34 and b = 0.

∴y=34x.

(2) When q moves on OC, let Q(m, 34m), that is, m2+(34m) 2 = (2t) 2, and the solution is m = 85t.

Then Q(85t, 65t) (0 ≤ t ≤ 5).

When Q moves on CB, the distance Q moves is 2t.

∫OC = 10,

∴CQ=2t- 10.

The abscissa of point ∴Q is 2t- 10+8 = 2t-2.

∴Q(2t-2,6)(5≤t≤ 10).

(3) The circumference of trapezoidal OABC is 44. When Q moves on OC, the distance of P is t and the distance of Q is (22-t).

△OPQ, the height on the OP surface is: (22? t)×35。

∴S△OPQ= 12t(22? T)×35, S- trapezoid OABC =12 (18+10) × 6 = 84.

According to the meaning of the question: 12t(22? t)×35=84× 12。

Finishing: T2-22t+ 140 = 0.

∵△=222-4× 140