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20 12 how to do the math (science and engineering) test paper No.5 and No.8 in Hubei college entrance examination?
5. Let a∈Z, and 0≤a≤ 13. If 5 1 20 12+A is divisible by 13, then a= (? d？ )

a . 0b . AC . 1 1d . 12

Because 5 1? ≡- 1(mod？ 13), so let 512012+a ≡ (-1) 2012+a =1+a ≡ 0 (mod 66

8. As shown in the figure, in the fan-shaped OAB with the central angle at right angles, two semicircles are made with the diameters of OA and OB respectively. Randomly take a point in the fan-shaped OAB, then the probability that this point is taken from the shaded part is (a? Solution: Let OA=2, connect the intersection of two semicircles (marked as C) and O, and take the midpoint D of OA, then the area of triangle OCD is 1/2, the area of fan ODC is π/4, and the shadow area of the part sandwiched in the middle is π/2- 1, then the area of blank part is 2, and the shadow area accounts for. This problem is not too difficult, pay attention to symmetrical thinking, there is no graphics, and it is a bit cumbersome to express.

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