Comprehensive simulation examination paper of seventh grade mathematics period (1)

Name score _ _ _ _ _ _ _

Fill in the blanks (2 points for each small question, 20 points for * * *)

1. If and are similar projects, otherwise;

2. If the equation about X (4-k2)x2+(k-2)x-4=0 is a linear equation, then k=, and the solution of the equation is

3. The solution of the equation is.

4. Half of the sum of a certain number x and 3 is less than twice the difference between a certain number x and 2. 1 written as an equation.

5. The sum of two numbers on all opposite faces of a cube is equal. The upper right picture is an enlarged view of it. Please fill in the number in the blank box in the picture.

6. If, then,.

7. A semicircle is formed by rotating once around its diameter.

8. Su Shi's poem "Seen from the side of the ridge, peaks are formed with different heights" illustrates the phenomenon of _ _ _ _ _ _ _.

9. The three views of geometry are two rectangles with the same size and a circle with a diameter equal to the length of one side of the rectangle. This geometry is.

10. When the pattern below is folded into a cube, the number will be on the plane opposite to that of the number 2.

Second, multiple-choice questions (2 points for each small question, 20 points for * * *)

1 1. The solution of the equation is ()

A.B. C. D。

12. In the formula, if it is known, then b = ().

A.- 1 b . 1 1 c . 5d . 25

13. Known equation: ① x+= (x-); ② + =7- ; ③ 3x- 1 = 2x+ 1, ④ x- 1 = x, and the solution is the equation () with x=2.

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

14. The reciprocal of a number greater than x times 1 is 5. Find X. Equation () can be listed.

A.-x+ 1 = 5 b .-(x+ 1)= 5 c . x- 1 = 5d .-x(x+ 1)= 5

15. Of the following statements, the correct one is ().

A. the equation is equation b, and the equation is equation.

C. An equation with letters is an equation D, and an equation without letters is an equation.

16. The turnover of a shopping mall was 10000 yuan last month, and it increased by 15% this month, so the turnover this month is ().

A.10 thousand yuan

C.10,000 yuan D.10,000 yuan.

17. If it is the solution of the equation, the value of is ().

A.B.5 C. 1 D。

18. The right triangle rotates once around its longest side (i.e. hypotenuse) to get the geometric figure ().

19. Among the following traffic signs, the one that belongs to the axisymmetric figure is ().

20. The expansion diagram of the following cube may be () in the following four expansion diagrams.

Three. Solve the following equation (4 points for each question, *** 12 points)

2 1.4x-2 = 3-x； 22.2(3x-5)-3(4x-3)= 0；

23.

Four, column equation to solve application problems (5 points for each problem, a total of 20 points)

24. Team A has 50 vehicles and Team B has 4/kloc-0 vehicles. If the number of team B is 1 more than twice that of team A, how many cars will team A transfer to team B?

25. It takes 9 days for Party A to complete a project alone, 12 days for Party B and 15 days for Party C.. If Party A and Party C work for 3 days first, and Party A leaves for some reason, and Party B takes over for Party A, how many days will it take to complete the project?

26. The speed of the ship in still water is 24 km/h, and the current speed is 2 km/h. How far will it take to get back to the dock in 6 hours?

27. Our school organizes first-year students to visit the Shanghai Science and Technology Museum. It was originally planned to rent a number of 45-seat buses, but 15 people had no seats. If you rent the same number of 60 buses, one more bus will be available, and the other buses will just be full. Q: How many people visited the Shanghai Science and Technology Museum in the first year? How many 45-seat buses were originally planned to rent?

Five, do a graphic answer (***28 points)

28. As shown in the figure, it is a top view of the geometry composed of several small cubes. The number in the small square indicates the number of small cubes in this position. Please draw the front view and left view of the geometry in the corresponding position. (6 points for this question)

front view

planform

Left facade

29. In a 6×6 square grid, there is an L-shaped pattern (the shaded part is shown in the figure). Please use three different methods to shadow a small blank box in the figure below, so that the whole shadow part becomes an axisymmetric figure. (6 points for this question)

30. Try to draw all possible left views of a geometric figure piled up by small cubes, with the front view and top view as shown in the figure. Think about it, how many small cubes do you need to build this geometry? How many cubes do you need at most? (8 points for this question)

3 1. A fan association organized 36 fans to rent a car to the competition venue to cheer for the football team. There are two kinds of cars that can be rented: one can take 8 people each and the other can take 4 people each. The requested car is not empty or overloaded. Please give different car rental schemes (at least three); ② If 8-seater car rents 300 yuan/day and 4-seater car rents 200 yuan/day, please design a car rental scheme with the lowest cost and explain the reasons. (8 points for this question)

3 1. A fan association organized 36 fans to rent a car to the competition venue to cheer for the football team. There are two kinds of cars that can be rented: one can take 8 people each and the other can take 4 people each. The requested car is not empty or overloaded. Please give different car rental schemes (at least three); ② If 8-seater car rents 300 yuan/day and 4-seater car rents 200 yuan/day, please design a car rental scheme with the lowest cost and explain the reasons. (8 points for this question)