Current location - Training Enrollment Network - Mathematics courses - Complete works of mathematical contest topics
Complete works of mathematical contest topics
1. Please fill in this form (3 points for each blank, 39 points for * * *).

1. clause: a※b=, then 2 ※ 5 = _ _ _ _.

2. The unit number is _ _ _ _ _.

3. Then x = _ _ _ _ _ _ _ _ _ _ _ _

4.x _ _ _ _ _ _ _ _ _。

5. Connect with an inequality symbol: [-()] 2

6. The approximate value of 7.8× 104 is accurate.

7. Fill in the numbers 0, 1, 1, 2, 3, 5, 8, 2 1 according to the law.

8. The number whose square equals itself is _ _ _ _, and the number whose reciprocal equals itself is _ _ _ _ _.

9. Fill in the natural numbers of 2, 3, 4, 5, 6, 7, 8, 9, 10, 10.

In the 10 cell of the chart 17, only one number is filled in each cell.

Therefore, the sum of the numbers filled in the four squares of the field shape is equal to p.

Then the maximum value of p is _ _ _ _ _.

10. Given the rational number, the minimum value of+18 is _ _ _ _.

1 1. Rational numbers A, B, C, D make, then the maximum value is _ _

12. There are enough black and white Go players lined up according to certain rules:

……

Excuse me, is 2003 black or white? A: _ _ _ _ _ _.

Second, please choose one (3 points for each question, * * * 33 points).

13 position. A and b on the number axis are shown in the figure.

Then the number of negative numbers in a+b, b-2a, |a-b|, |b|-|a| is ().

A. 1

14. The point with integer coordinates on the number axis is called the whole point, and the unit length of the number axis is

Cm, if a line segment AB with a length of 2006 cm is randomly drawn on this number axis,

Then the whole point covered by line AB is ().

2006 or 2007 c.2007 or 2008 d.2008 or 2009.

15. A supermarket has introduced the following preferential schemes: (1) There is no discount if the shopping amount does not exceed 200 yuan; (2) Enjoy a 10% discount for shopping in 200 yuan but not more than 600 yuan; (3) Anyone who shops in 600 yuan will enjoy a 20% discount. Xiao Ming's mother paid 168 yuan and 423 yuan respectively for the two purchases. If Xiaoming's mother buys goods with the same value as the last two times in the supermarket at one time, Xiaoming's mother should pay () yuan.

a、522.80 B、560.40 C、5 10.40 D、472.80

16. The passenger train runs between Harbin and Station A, stopping at five stations along the way, so it is necessary to arrange () different tickets between Harbin and Station A. ..

a、6 B、7 C、2 1 D、42

17. On the number axis, the number represented by a point with a distance of 5 from the point representing -3 is ().

A,-8 B, 2 C,-8 and 2 D, 1

18. The corresponding points of unequal rational numbers A, B and C on the number axis are A, B and C respectively. if

| A-B |+| B-C| = | A-C|, then point B should be ().

(a) To the right of points A and C; (b) To the left of points A and C;

(c) between point a and point c; (d) All three situations are possible.

19. The following statement is true ()

A.-A stands for negative rational number B. a2 is positive number C. a and -A must be negative numbers D. The divisor 1.0 and 0.0003 1 have the same number of significant digits.

20. If |a| is greater than 1, the following formula must be established ().

a 、| a |-a & lt; 0 B、a-|a|=0 C 、| a |+a & gt; 0 D 、|a|+a≥0

2 1. if a+b<;, a+b <; 0, then the numbers A and B are ()

(A)a>0,b>0

(C)a0 (D)a