(Full score 100, time 45 minutes)

Choose one carefully first (5 points for each question, 30 points for * * *)

1. The following statement is true ()

A. there is the smallest positive number B. Have the smallest natural number

C. there is the largest rational number D. There is no maximum negative integer.

2. The following statement is true ()

A. the number whose reciprocal equals itself is only1b. The number whose square equals itself is only 1.

C. A cube is only equal to its own number 1 d, and the absolute value of a positive number is itself.

3. There are () integers * * * greater than–3.5 and less than 2.5.

a6 b . 5 c . 4d . 3

4. When two rational numbers are divided and their quotient is negative, then these two rational numbers ().

A. all negative numbers B. all positive numbers C. one positive number D. one zero.

5. Yuan Longping, the "father of hybrid rice" in China, presided over the research of a super hybrid rice with an average yield of 820kg per mu. A certain place plans to plant 3 000 mu of this super hybrid rice this year. It is estimated that the total output of this super hybrid rice this year is ().

A.2.5× 106 kg B.2.5× 105 kg

C.2.46× 106 kg D.2.46× 105 kg

6. If | 2a | =-2a, then a must be ().

A. positive number B. negative number C. positive number or zero D. negative number or zero

7 .. The altitudes of A, B and C are 20m,-15m and-10m respectively, so the highest point is higher than the lowest point ().

10 meter

8 .. It is known that point A and point B are on the same number axis, and point A represents a number. It is known that point B and point A are five unit lengths apart, so the number represented by point B is ().

A. 3 B- 7 c. 3 or -7 D.3 or 7

9. The following statement is true ()

A. positive numbers and negative numbers are opposite. The inverse of B. a is negative.

C. The reciprocal is equal to its own number, only 0 d. The reciprocal is a positive number.

Two, fill in a carefully (2 points per space, ***30 points)

/kloc-the reciprocal of 0/0. -23 is ▁ ▁; The reciprocal is ▁ ▁; The absolute value is ▁ ▁.

1 1. Calculation:

19972×0=▁▁▁▁; 48÷(-6) =▁▁▁▁; - 12 ×(- 13 ) =▁▁▁▁ ; - 1.25÷(- 14 ) =▁▁▁▁▁.

12. Calculation:

(-2)3=▁▁▁▁; (- 1) 10=▁▁▁▁; - 32=▁▁▁▁▁.

13. Among the figures of about 6.48, there are ▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁.

14. There is an integer whose absolute value is greater than 1 and less than 4. On a certain day in winter, the lowest temperature in Shanghai is 3℃ and that in Beijing is -5℃. On this day, the lowest temperature in Shanghai is ▁ ▁ ▁ C higher than that in Beijing.

15. if x < 0, y > 0, x2 = 4, y2 = 9, then x+y = ▁ ▁ ▁.

16. Fill in the following numbers in the set to which it belongs:

103 45 23

15,- 1,- ——,+34.58,0,- ——, -5.32,+2, -77, 103, ——, 85, —97 .。 .

145 29 87

(1) A set of positive numbers {...};

(2) Negative set {...};

[3] Integer set {...};

[4] Music score setting {...}.

Three, calculate the following questions (6 points for each small question, ***24 points)

17.(-5)×6+(- 125) ÷(-5) 18.3 12 +(- 12 )-(- 13 )+223

= =

= =

= =

= =

19.(23 - 14 -38 +524 )×48 20.- 18÷(-3)2+5×(- 12 )3-(- 15) ÷5

= =

= =

= =

= =

Four. Application questions (8 points for each question, *** 16 points)

2 1. A class randomly selects 10 students' final grades, with 80 as the benchmark, and the excess is recorded as positive, and the deficiency is recorded as negative. The results recorded are as follows:

+8,-3,+ 12,-7,- 10,-3,-8,+ 1,0,+ 10.

(1) 10 What is the highest score among the students? What's the lowest score?

(2) What percentage of students in10 are below 80?

(3) 10 What is the average score of students?

22. A patient needs to measure his blood pressure every afternoon. The table below shows the change of his systolic blood pressure from Monday to Friday. His systolic blood pressure last Sunday was 160 units.

Monday, Tuesday, Wednesday, Thursday and Friday.

Systolic pressure change +30-20+ 17+ 18-20

(Compared with the previous day)

Question 1: (1) What day is the highest blood pressure this week? Which day is the lowest?

Question 2: (2) Compared with last Sunday, did the patient's blood pressure increase or decrease on Friday?

23.65,438+00 students participated in the physical examination, and the weight measurement results were as follows (unit: kg):

42.5, 48, 37.5, 40, 38, 47, 38.5, 34.5, 45, 42。

Then the average weight of this 10 student is ▁▁▁▁▁▁▁▁ kg.

24. At a pit, Team A took a car and agreed on the East. When going to work from place A, the walking record is (unit: km):

+ 15,-2,+5,- 1,+ 10,-3,-2,+ 12,+4,-5,+6。

At the same time, Group B also set out from Point A, along the road maintenance line in the north-south direction, and agreed that the north is positive, and the walking record is:

- 17,+9,-2,+8,+6,+9,-5,- 1,+4,-7,-8。

(1) When we call it a day, where are A and B, and how far are they from A?

(2) If the car consumes one liter per kilometer, then find out how many liters each group consumes when it is sent to work.

absolute value

Fill in the blanks

1. The distance from a number A to the origin is called _ _ _ _ _.

2.-|- |=______,-(- )=_______,-|+ |=_______,-(+ )=_______,? +|-( )|=______,? ,+(- )=_______.

3. The reciprocal of _ _ _ is itself, and the absolute value of _ _ _ is itself.

4.a+b=0, then A and B _ _ _ _ _

5. If |x|=, the reciprocal of x is _ _ _ _ _.

6. If | m- 1 | = m- 1, then m _ _ _ _1.

If | m- 1 | > M- 1, then m _ _ _ _1.

If | x | = |-4 |, then x = _ _ _ _ _

If |-x | = ||, then x = _ _ _ _ _

7. The absolute value of two opposite numbers _ _ _.

8. The smaller the absolute value of a number, the more _ _ _ the point corresponding to the number on the number axis is from the origin.

9. The absolute value of-is _ _ _.

10. The number with the smallest absolute value is _ _ _ _.

1 1. Numbers with an absolute value equal to 5 are _ _ _ _ _, and they are _ _ _ _.

12. if b < 0 and a=|b|, the relationship between a and b is _ _ _ _.

13. If one number is greater than the absolute value of another number, the sum of these two numbers must be _ _ _ 0 (fill in ">" or "

14. if | a | > a, then a is _ _ _ _.

15. All negative integers with absolute values greater than 2.5 and less than 7.2 are _ _ _ _.

16. The order of the following figures from small to large is _ _ _ _.

- , ,|- |,0,|-5. 1|

17. If -| a | = | a|, then a = _ _ _ _

18. If |a|+|b|+|c|=0, then a = _ _ _ _, b = _ _ _ _, and c = _ _ _ _.

19. Compare dimensions (fill in ">" or "

( 1)- _____|- | (2)|- |_____0

(3)|- |_____|- | (4)- _____-

Second, multiple choice questions

1.|x|=2, then this number is ()

A. 2b. 2 and-2 C.-2 D. are both wrong.

2.| A | =-A, then A must be ()

A. negative number B. positive number C. non-positive number D. non-negative number

3. If the distance from the corresponding point to the origin of a number on the number axis is m, then the number is ().

A.- trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion trillion.

4. If the absolute value of a number is equal to the reciprocal of this number, then this number is ().

A. positive number B. negative number C. positive number, zero D. negative number, zero

5. Among the following statements, the correct one is ()

A. the absolute value of rational number is not less than itself.

B. If the absolute values of two rational numbers are equal, then the two numbers are equal.

C. If the absolute values of two rational numbers are equal, then the two numbers are opposite.

The absolute value of d-a is equal to a.

6. The absolute value of any rational number must be ()

A greater than 0B, less than 0 C, not greater than 0D and not less than 0.

7. if a > 0, b < 0, and | a | < | b|, then a+b must be ().

A. positive number B. negative number C. non-negative number D. non-positive number

8. The following statement is true ()

A. the absolute value of rational number must be greater than itself.

B. Only the absolute value of a positive number is equal to itself.

C. the absolute value of a negative number is its reciprocal.

D. If the absolute value of a number is its reciprocal, then the number must be negative.

9. The following conclusion is correct ()

A. if |x|=|y|, then x =-y B. if x =-y, then |x|=|y|

C. if | a | < | b |, then a < b d. if a < b, then | a | < | b |

Third, the judgment question

1. If the absolute values of two numbers are equal, then they are also equal. ()

2. If two numbers are equal, their absolute values are also equal. ()

3. if x

Fourth, answer questions.

1. If | x-2 | +| y+3 |+z-5 | = 0, calculate the value of (1) x, y and z (2) and find the value of |x|+|y|+|z|.

2. If 2

3.( 1) If = 1, find x. (2) If =- 1, find X. 。

Verb (abbreviation for verb) calculation

( 1)|-2|×(-2)=_____ (2)|- |×5.2=_____

(3)|- |- =_____ (4)-3-|-5.3|=_____

I. Multiple choice questions (*** 16 small questions, 4 points for each small question, out of 64 points)

1, in the figure below, what can't be a cube after folding is ().

A, B,

C, D,

2. The following figure () is the expanded diagram of the cube.

A, B,

C, D,

3. In the figure below, the side view of the quadrangular prism is ().

A, B,

C, D,

4. The following figure () is not a surface expansion diagram of a triangular prism.

A, B,

C, D,

5. Fold the cardboard in the picture into a cube along the dotted line, and the reverse side of the second plane of the cube is ().

A, No.3 surface B, No.4 surface

C, No.5 surface D, No.6 surface

6. The following figure is an expanded diagram of a cube, and the vertices are marked with1~1/natural number. When the cube is folded, what are the numbers where 6 coincides with ()?

7，8b，7，9

c、7、2d、7、4

7. Cubic cartons with or without covers. If you cut them along the edge into development diagrams, there are () different forms of development diagrams.

a、4B、5

c、8D、 10

8. There is a cube and four unfolded cube surface patterns, and () can be folded into cubes, as shown in the figure below.

A, B,

C, D,

9. The number of sides and edges of a quadrangular prism is () respectively.

a、6 12B、8 12

c、4， 12D、4，8

As shown, 10 can be folded into a prism ().

A, B,

C, D,

1 1, as shown in the figure, if the side of a cone is cut along a straight line in the figure, the obtained figure is ().

A, triangle b, circle

C, arc d, sector

12 as shown in the figure, which figures can be folded into prisms ()

a 、( 1)(2)(3)B 、( 2)(3)(4)

c 、( 1)3)4)D 、( 1)2)4)

13, the number of vertices of a polyhedron is V, the number of edges is E, and the number of faces is F. The following four situations will definitely not appear ().

A, V, E and F are all odd numbers, and B, V, E and F are all even numbers.

Two odd numbers in c, v, e and f, and two even numbers in d, v, e and f.

14、(2002? Nanchang) The following four figures are each composed of six identical small squares, and the one that can be folded into a cube is ().

A, B,

C, D,

15、(2005? Jinan) drew a thick line on the surface of the cube as shown in figure 1, and figure 2 is the schematic diagram of its development, but only the thick line was drawn on the A side, so draw the thick lines of the remaining two sides in figure 1 into figure 2, and the drawing method is correct (if you are not sure, you can try it yourself! )( )

A, B,

C, D,

16, the following figure can be folded into a prism ().

A, B,

C, D,

Fill in the blanks (*** 12 small questions, 5 points for each small question, out of 60 points)

17. In a prism, the intersection of any two adjacent faces is called _ _ _ _ _ _ _ _ _ _ _ _ _ _

18, and the profile of the cylinder is _ _ _ _ _ _ _ _.

19, the surface development diagram of the cone is _ _ _ _ _ _ _.

20. As shown in the figure, it is the plane development diagram of the cube. If A is below, D is on the right and F is in front, then E is in _ _ _ _ _ _ _ _

2 1. A pentagonal prism has _ _ _ _ _ _ _ faces, _ _ _ _ _ sides and _ _ _ _ _ _ _ vertices.

22. Cut the surface of the cube along some edges and unfold it into a plan view. At least _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

23. If the number of sides of the bottom of a prism is n, then there are _ _ _ _ _ _ _ _ _ prisms.

24. A pentagonal prism * * * has _ _ _ _ _ _ _ vertices, _ _ _ _ _ _ sides and _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

25. The side expansion of the cylinder is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

26. The simple geometry with rectangular side expansion diagram is _ _ _ _ _ _ _ _.

27, triangular prism base length is 3 cm, side length is 5 cm, then triangular prism * * * has _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

28. Cut the surface of a cube along some edges and expand it into a plane figure (as shown in the figure), then the following possible figures are: _ _ _ _ _ _ _ _.

Combined with the usual practice, although it is not, it may be tested.