1. multiple-choice questions (four choices are 1 type, with 5 points for each small choice, otherwise 0 points, and 50 points for this big question).

The solution of 1. equation is ()

A. BC 1

2.Set，then =()

7 BC to 0 AD

3. absolute value equations has () different real number solutions.

A.2 B.4 C. 1 D.0

4. If the maximum integer is not greater than, for example,,, the following conclusions are invalid ().

① ≤ < + 1;

② - 1< ≤ ;

③ =- ;

④ =2 ;

⑤ + = 1

A.4 B.3 C.2 D. 1

5. The biggest of the following results is ()

A. BC 0. 1

6. Among the following conclusions, the correct conclusion is ().

① if a, b > 0, then;

② if a > b, then;

③ if a > b, then;

④ if a > b, then;

⑤ If a, b > 0, then ≥

A.4 B.3 C.2 D. 1

7. as shown in the figure, where e is a point above BC, be ∶ FD = ()

a . m ∶( m+n)b . m∶n c . m ∶( 2n)d . m ∶( m+2n)

8. Let real numbers A, B, C, D and E satisfy, and then ().

Not sure.

9.a, B, C, D and E all achieved 9 1 above in the "Wuyang Cup" junior high school mathematics competition. Among them, E ranked third with 96 points. It is also known that A, B and C average 95 points, while B, C and D average 94 points. If A ranks first, D gets () points.

98-97 AD

10. It is known that the weights (in kilograms) of the four athletes are all integers. Paired weighing, * * * weighed five times, respectively, 99, 1 13, 125, 130, 144 kg. Two of them are not weighed together, so the heavier one is () kg.

A.78 B.66 C.52 D.47

Fill in the blanks (5 points for each small question correctly, otherwise 0 points. The score of this big question is 50 points. )

1 1. Factorization in the real number range: _ _ _ _ _ _.

12. If,, is known, then _ _.

13. The solution of inequality is _ _ _ _ _.

14. As shown in the figure, ∠ C = 90, ∠ BAC = 60, AD = AB, BC = 4, then the distance between two points D and B is _ _ _ _.

15. The solution of the equation is _ _ _ _ _.

16. As shown in the figure, two identical trapezoids overlap, so the area of the non-overlapping part of the upper trapezium is _ _ _ _ _.

17. Bus No.555 of Wuyang Gong * * Automobile Company runs back and forth between the two main stations A and B every minute. Xiaohong was riding a bicycle in the street. Every six minutes, she found a bus No.555 coming from behind, and every three minutes, a bus No.555 came head-on. Assuming that the bus and Xiaohong ride at a constant speed, ignoring the time-consuming stops, it takes = _ _ _ _ minutes.

18. Calculation: _ _ _ _ _ _, where.

19. Represents the largest integer not greater than, for example, then _ _.

20. Assuming that any two prime numbers are greater than 100, the minimum value of the greatest common divisor of sum is _ _ _ _ _.