1. Given rational number, the value is ().

A. positive number B. negative number C. zero D. positive and negative can not be determined

2. If is, the average value is ()

A.0.7 B. 0.7777 C. 0.8777

3. The integer value satisfying the inequality is ()

A.36 group, 45 group and 66d group 100 group

4. How many triangles can a * * * count in the diagram? The sum of their perimeters is (let BC=CA=AB= 1).

A.56、63 B. 78、78 C. 78、26 D. 56、2 1

5. If known, the integer part of is ()

a . 163 b . 164c . 165d。 None of the above is true.

Fill in the blanks (6 points for each small question, 30 points for * * *)

6. Let all be multiples of 5, and then.

7. If it is known that it is satisfied, then

8. Fill in an integer in each box below:

And the sum of the numbers filled in any three adjacent cells is equal to 5, then = _ _ _ _ _ _ _.

9. The two trains A and B leave in opposite directions at the same time between the two cities, and it takes 3 hours 18 minutes to meet. However, if the A train leaves 24 minutes in advance, then three hours after the B train leaves, the two trains will go 14 km. If the second car leaves 36 minutes earlier, it will take 9 kilometers for the two cars to meet three hours after the first car leaves. Then the distance between the two cities is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

10. In the circular cycling field, Party A, Party B and Party C ride bicycles for training. They set out at the same time, with the speed, direction and starting point as shown in the figure, so they met at the same time for the first time within _ _ _ _ _ _ _ minutes after their departure.

Third, solve the problem (each small question 15 points, ***60 points)

1 1. If yes, verify at least one: 1.

12. Write the numbers 2, 3, 4, …,1999,2000 on the blackboard. First, A deletes one number, and then B deletes another number. Two people take turns erasing a number. If the last two numbers are reciprocal, A wins. If the last two numbers are not reciprocal, B wins. Want to win, should choose A or B? Please explain the reason.

13. Four numbers 2613,2243,1503,985 are divided by the same positive integer, and the remainder is the same and not zero. Find the maximum divisor and the corresponding remainder value.

14. There is an infinite decimal, where odd number, even number and unit number are equal to+,unit number is equal to+,and unit number is equal to. Proof: It is a rational number.