Seventh grade mathematics

Out120min,120min.

Total score of question 1234567

Take the lead

A, fill in the blanks (this big question ***8 small questions, each small question 3 points, ***24 points)

1. In the plane rectangular coordinate system, -2 and -3 points are in the _ _ _ _ quadrant.

2. As shown in the figure, lines A and B are cut by a third line C. If A∨B, ∠ 1 = 50, ∠2=__ degrees.

3 is known as the solution of a binary linear equation, then m = _ _ _ _.

4. The positive integer solution of inequality is _ _ _ _ _ _ _.

5. When ∠ 1 and ∠2 in the figure satisfy _ _ _ _ _ _, you can do OA⊥OB (just fill in one condition).

6. Xiaoming's family of three traveled with a tour group, and the travel expenses are shown in the figure.

If they spend 4800 yuan, they spend _ _ _ _ yuan on accommodation.

There are 48 students in Class One, Grade Eight. The histogram of frequency distribution of their height is shown on the right. The height ratio of each small rectangle is 1: 1:3:2: 1. Then the students whose height range is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

8. As shown in the figure, there are five fan-shaped flower stands with a radius of 2 meters on each corner of a pentagonal field, so the total area of these five flower stands is _ _ _ _ square meters. (Keep in Results)

Second, multiple-choice questions (this big topic ***8 small questions, 3 points for each small question, ***24 points)

9. In the figure below, ∠ 1 and ∠2 are opposite, which is ().

(A) (B) (C) (D)

10. The following table is the statistics of the demand for the same commodity in a certain area in different seasons of the year (unit: tons):

Quarters 1, 2, 3 and 4

The demand for a commodity is 3500 1500 2300 4000.

If you are a statistician of the Industrial and Commercial Bureau, and you want to provide an intuitive statistical chart about the goods to the merchants, you should choose the statistical chart as ().

A bar chart, b line chart, c fan chart, d the first three can be used.

The 1 1. axis indicates that the solution set of the inequality group is correct ().

(A) (B) (C) (D)

12. With the following groups of line segments as sides, what can form a triangle is () (A) 1cm, 2cm, 4cm.

(b) 8cm, 6cm, 4cm (c)12cm, 5cm, 6cm (d) 3cm, 4cm, 7cm.

13, with the same size polygon floor tile can't be embedded in a plane is ()

(a) Square (b) Regular hexagon (c) Regular octagon (d) Any trapezoid

14. Observe the following pattern. Among the four modes A, B, C and D, the one that can be translated by mode (1) is ().

( 1) (A) (B) (C) (D)

15. In the World Cup, four teams, A, B, C and D, were in the same group and competed for the right to qualify. According to the rules of the game, win a game with 3 points, draw a game 1 point, and lose a game with 0 points. The top two in the group qualify. After the group match, Team A scored 6 points, so the following statement about Team A's qualifying right is correct ().

(a) Not necessarily qualified; (b) Absolutely qualified; (c) unqualified; (d) There may be more than that.

16, there are three different objects: "A, B and C",

Weigh it twice with a balance, as shown in the figure, so the three objects "A, B and C" are arranged as () according to the order of descending mass.

Propylene, ethylene and propylene.

(c) ethylene propylene (d) ethylene propylene.

Three, basic knowledge and technical problems (this big problem ***4 small questions, each small question 8 points, ***32 points)

17. Solve inequalities and express the solution set on the number axis.

18, solve the equation 19, and solve the inequality.

20. As shown in the figure, CD⊥AB is in D, EF⊥AB is in F, ∠ 1=∠2. DG∨ Is it BC? If they are parallel, please explain why.

Four, the use of knowledge to solve problems (each question 10, ***50 points)

2 1. Xiaolong is responsible for understanding the family income of 450 households in his community in the social investigation activities organized by the school. He randomly investigated the household income of 40 households (income rounded, unit: yuan) and drew the following frequency distribution table and frequency distribution histogram.

According to the information provided above, answer the following questions:

(1) Complete the frequency distribution table. (2) Complete the histogram of frequency distribution.

(3) Please estimate how many households in this community belong to middle income (more than 1000 but less than 1600 yuan)?

Percentage of grouping frequency

600≤