1. is the largest negative integer and the smallest absolute rational number, then ()

A,-1 B, 0 C, d, 2007

The grass on the pasture grows equally fast. It is known that 60 cows can eat the grass in 24 days, while 30 cows can eat the grass in 60 days. Then, if you eat grass in 120 days, you need () cows.

a、 16 B、 18 C、20 D、22

3. Chang 'e-1 satellite is a cuboid with a length of 222 cm, a width of 172 cm and a height of 220 cm when the solar wing is not opened. If the surface is wrapped with a layer of shockproof material with a thickness of 1 cm and there is a wooden packing box with a thickness of 1 cm outside, the volume of wood required for the wooden packing box should be at least () cubic cm.

A, B,

C, D,

4. Are the first three prime numbers, and give the following four judgments:

(1) cannot be divisible; 2 inseparable;

③ Indivisible; 4 inseparable.

The incorrect judgment is ()

a、①② B、①③ C、②③ D、③④

5. In the grid paper shown in figure 1, a, b and c are all at the intersection of grid lines, so ∠ACB= ().

a、 1200 B、 1350 C、 1500 D、 1650

6. The integer solution of the equation has () groups.

a、2 B、4 C、6 D、8

7. As shown in Figure 2, translate the right triangle BC along the hypotenuse AC to the position of DEF (A, D, C and F are on the same straight line). The right-angled siDE de and BC intersect at point G. If BG=4, EF= 12, and the area of BEG is equal to 4, the area of trapezoidal ABGD is ().

a、 16 B、20 C、24 D、28

8. For each pair of real numbers, define the operation ★ as (★), then the value of ((1★2) ★3) is ().

A, B, C, D,

(English-Chinese dictionary: each pair; Real number, real number; Definition definition; Operational operation; Value value)

9. The distances from one point to four sides in a parallelogram are 1, 2, 3 and 4 respectively, so the minimum area of such a parallelogram is ().

a、2 1 B、22 C、24 D、25

10. Divide 13 integers 1, 2, 3, 4, …, 12, 13 into two groups, so that the sum of all numbers in one group is greater than that in the other group 10. This grouping method ().

A, there is only one kind of B, just two kinds of C, more than three kinds of D, and it doesn't exist.

Fill in the blanks (4 points for each small question, out of 40 points)

1 1. Fig. 3 is a plane expansion diagram of a cube. If the values of algebraic expressions on two opposite sides of a cube are equal, the value of is.

12. If, then.

13. Let n be a satisfying integer and divide by 2008 to get the remainder, then the ratio of the maximum value to the minimum value is.

14. Figure 1( 1), (2) and (3) show tetrahedron, octahedron and cube in turn. Their respective area numbers f, edges e and vertices v are as follows:

F E V

Tetrahedron 4 6 4

Octahedral 8 12 6

Cube 6 12 8

Observing these data, we can find that the relationship between f, e and v satisfies the equation:

15. If the root of the equation is uncountable and is a pair of real numbers, then this pair of real numbers is.

(English-Chinese dictionary: countless uncountable; Pairing)

16. Paint the surface of a cube with an integer side length red, and then divide it into small cubes with an edge length of 1. If there are 2 197 cubes whose sides are not dyed red, the volume of this cube is.

17. As shown in Figure 5, A and B are two grid points in the grid, and point C is also the grid point connecting AB, BC and AC. When Δ ABC is an isosceles triangle, there are differences in different positions of grid point C. Let the side length of each small square in the grid be 1, then the sum of the areas of all isosceles triangles ABC satisfying the meaning of the question is equal to.

18. A middle school extracurricular interest group made a survey on the speed of motor vehicles on a road near the campus. Figure 6 shows the speed (speed is an integer, unit is km/h) of several cars they randomly selected in a certain period of time on a certain day.

(1) If the speed is more than 40 km/h and not more than 60 km/h, statistics show that the percentage of vehicles driving normally is 85%, then there are cars randomly selected by them during this period.

(2) If there are 240 vehicles speeding all day (the speed is greater than 60 km/h), the traffic flow of that day is about 20 vehicles.

19. As shown in Figure 7, in Δ ABC, f is the midpoint of BC, f is on AE, AE=3AF, and the BF extension line intersects with AC at point D. If the area of Δ ABC is 48, the area of AFD is equal to F.

Yu.

The highest digit of 20.2000 digits is 3. Any two adjacent numbers in this number can be regarded as a two-digit number, which can be divisible by 17 or 23. Then the last six digits of this integer are not or.

Third, answer questions (***3 small questions, out of 40 points)

2 1. (The full mark of this question is 10) This figure is the front view and top view of a simple geometric body composed of some small cubes with the same size.

(1) Please draw the left view of this geometry;

(2) If the number of cubes that make up this geometry is n, please write down all possible values of n (needless to say, reasons).

First, multiple-choice questions (4 points for each small question, out of 40 points)

1. is the largest negative integer and the smallest absolute rational number, then ()

A,-1 B, 0 C, d, 2007

The grass on the pasture grows equally fast. It is known that 60 cows can eat the grass in 24 days, while 30 cows can eat the grass in 60 days. Then, if you eat grass in 120 days, you need () cows.

a、 16 B、 18 C、20 D、22

3. Chang 'e-1 satellite is a cuboid with a length of 222 cm, a width of 172 cm and a height of 220 cm when the solar wing is not opened. If the surface is wrapped with a layer of shockproof material with a thickness of 1 cm and there is a wooden packing box with a thickness of 1 cm outside, the volume of wood required for the wooden packing box should be at least () cubic cm.

A, B,

C, D,

4. Are the first three prime numbers, and give the following four judgments:

(1) cannot be divisible; 2 inseparable;

③ Indivisible; 4 inseparable.

The incorrect judgment is ()

a、①② B、①③ C、②③ D、③④

5. In the grid paper shown in figure 1, a, b and c are all at the intersection of grid lines, so ∠ACB= ().

a、 1200 B、 1350 C、 1500 D、 1650

6. The integer solution of the equation has () groups.

a、2 B、4 C、6 D、8

7. As shown in Figure 2, translate the right triangle BC along the hypotenuse AC to the position of DEF (A, D, C and F are on the same straight line). The right-angled siDE de and BC intersect at point G. If BG=4, EF= 12, and the area of BEG is equal to 4, the area of trapezoidal ABGD is ().

a、 16 B、20 C、24 D、28

8. For each pair of real numbers, define the operation ★ as (★), then the value of ((1★2) ★3) is ().

A, B, C, D,

(English-Chinese dictionary: each pair; Real number, real number; Definition definition; Operation operation; Value value)

9. The distances from one point to four sides in a parallelogram are 1, 2, 3 and 4 respectively, so the minimum area of such a parallelogram is ().

a、2 1 B、22 C、24 D、25

10. Divide 13 integers 1, 2, 3, 4, …, 12, 13 into two groups, so that the sum of all numbers in one group is greater than that in the other group 10. This grouping method ().

A, there is only one kind of B, just two kinds of C, more than three kinds of D, and it doesn't exist.

Fill in the blanks (4 points for each small question, out of 40 points)

1 1. Fig. 3 is a plane expansion diagram of a cube. If the values of algebraic expressions on two opposite sides of a cube are equal, the value of is.

12. If, then.

13. Let n be a satisfying integer and divide by 2008 to get the remainder, then the ratio of the maximum value to the minimum value is.

14. Figure 1( 1), (2) and (3) show tetrahedron, octahedron and cube in turn. Their respective area numbers f, edges e and vertices v are as follows:

F E V

Tetrahedron 4 6 4

Octahedral 8 12 6

Cube 6 12 8

Observing these data, we can find that the relationship between f, e and v satisfies the equation:

15. If the root of the equation is uncountable and is a pair of real numbers, then this pair of real numbers is.

(English-Chinese dictionary: countless uncountable; Pairing)

16. Paint the surface of a cube with an integer side length red, and then divide it into small cubes with an edge length of 1. If there are 2 197 cubes whose sides are not dyed red, the volume of this cube is.

17. As shown in Figure 5, A and B are two grid points in the grid, and point C is also the grid point connecting AB, BC and AC. When Δ ABC is an isosceles triangle, there are differences in different positions of grid point C. Let the side length of each small square in the grid be 1, then the sum of the areas of all isosceles triangles ABC satisfying the meaning of the question is equal to.

18. A middle school extracurricular interest group made a survey on the speed of motor vehicles on a road near the campus. Figure 6 shows the speed (speed is an integer, unit is km/h) of several cars they randomly selected in a certain period of time on a certain day.

(1) If the speed is more than 40 km/h and not more than 60 km/h, statistics show that the percentage of vehicles driving normally is 85%, then there are cars randomly selected by them during this period.

(2) If there are 240 vehicles speeding all day (the speed is greater than 60km/h), the traffic flow of that day is about.

19. As shown in Figure 7, in Δ ABC, f is the midpoint of BC, f is on AE, AE=3AF, and the BF extension line intersects with AC at point D. If the area of Δ ABC is 48, the area of AFD is equal to F.

Yu.

The highest digit of 20.2000 digits is 3. Any two adjacent numbers in this number can be regarded as a two-digit number, which can be divisible by 17 or 23. Then the last six digits of this integer are not or.

Third, answer questions (***3 small questions, out of 40 points)

2 1. (The full mark of this question is 10) This figure is the front view and top view of a simple geometric body composed of some small cubes with the same size.

(1) Please draw the left view of this geometry;

(2) If the number of cubes that make up this geometry is n, please write down all possible values of n (needless to say, reasons).