First, multiple-choice questions (2 points for each question, *** 16 points)
1. The following calculation result is ()
A.B. C. D。
2. In the construction of the "Bird's Nest" steel structure of the National Stadium of the Beijing Olympic Games in 2008, the steel with strength of Pa independently developed by Chinese researchers was used for the first time, so the original number was ().
a . 4600 000 b . 46 000 000 c . 460 000 000d . 4 600 000 000
3. The position of the real number on the number axis is as shown in the figure, so the following type is correct ().
A.B.
C.D.
4. As shown in the figure, line A and line B intersect at point O. If ∠ 1 equals 40, then ∠2 equals ().
50 to 60
C. 140
5. The People's Bank of China announced that since June 5, 2007, the interest rate of RMB deposits will be raised, and the interest rate of one-year fixed deposits will be raised to 3.06%. On June 5, 2007, someone deposited 5000 yuan with a fixed term of 1 year (the bank will deduct 20% interest rate after maturity). Assuming that the bank should pay cash yuan to depositors after maturity, the correct equation listed is ().
A.B.
C.D.
6. In the figure below, () is the side development of a quadrangular prism.
A B C D
7. In the picture below, the one on the left that cannot be translated or rotated is ().
8. As we all know, as shown in the figure, if the vertical foot is a straight line passing through this point, then the relationship with must be ().
A. Equality B. Complementarity
C. Complementarity D. Opposing angles
Fill in the blanks (2 points for each question, 20 points for * * *)
9. Write a number less than.
10. The total length of a cable is 100 meters. If the full length is used for the first time and the remaining length is used for the second time, the remaining length is meters.
1 1. If is, the value of is.
12. If the single sum is similar, the value of is.
13. The solution of the equation is.
14. Line segment cm, cut cm on line segment AB, and then cut cm.
15. From 3:15 to 3: 30, the minute hand on the clock rotates in degrees.
16. after the technical transformation of the railway between the two cities, the running speed of the trains between the two cities was increased from 160km/h to 200km/h, and the running time was shortened by 2.5 hours. If the distance between A and B is km, then the equation can be obtained.
.
17. If the front view, left view and top view of a geometric figure are rectangle, rectangle and circle respectively, then the geometric figure is.
18. Arrange positive integers according to the rules shown in the figure. If the ordered real number pair (,) represents a row, counting from left to right, and if (4,3) represents a real number 9, then (7,2) represents a real number of.
Three. Calculation and simplification (6 points for each question, *** 18 points)
19. Calculation:.
20. calculation:.
2 1. Simplify before evaluating:
, among them.
Fourth, solve the equation (6 points for each question, *** 12 points)
22.。
23.。
Verb (abbreviation of verb) drawing questions (6 points for each question, *** 12 points)
24. Draw three views of the picture below.
25. As shown in the figure, AB = 4 cm.
(1) Drawing, extending AB to C, making BC = 3 cm.
(2) If point D is the midpoint of line AB and point E is the midpoint of line BC, what is the length of line DE?
Seven, (this question 6 points)
27. The length, width and height of two identical rectangles are 5cm, 4cm and 3cm respectively. Pile them together to form a new cuboid. What is the maximum surface area of these new cuboids?
Eight, (this question 10)
Tickets for the 2008 Beijing Olympic Games began to be booked by the public. The following table shows the ticket prices of several ball games published on the official ticketing website of Beijing Olympic Games. A fan is going to reserve tickets for events below 10 with 8000 yuan.
(1) If all the funds are used to book tickets for men's basketball and table tennis, how many tickets can he book for men's basketball and table tennis?
(2) If he wants to book three kinds of tickets in the following table within the existing fund of 8,000 yuan, and the total number of tickets for men's basketball is the same as that for football, and the cost of buying table tennis tickets is less than that for men's basketball 1000 yuan, how many tickets can he book for each of the three kinds of tickets?
Ticket price of competition events (yuan/field)
Men's Basketball Team 1000
Football 800
Table tennis 500
Math exercises in the first grade of junior high school
Reference answer
First, multiple-choice questions (2 points for each question, *** 16 points)
Title 1 2 3 4 5 6 7 8
Answer A C B C D D C B
Fill in the blanks (2 points for each question, 20 points for * * *)
9. For example, wait. 10. 1 1. 12.5
13. 14.3 15.90 16.
17. Cylindrical 18.23
Three. Calculation and simplification (6 points for each question, *** 18 points)
19. Solution: Original formula =.
20. Solution: The original formula =.
2 1. solution: original formula =.
When, the original formula =.
Fourth, solve the equation (6 points for each question, *** 12 points)
22. Solution: Move terms and get.
Close similar projects and get.
The coefficient is 1, and it is obtained.
23. Solution: Divide both sides by 2.
You must remove the brackets.
Move projects, close similar projects, and get.
The coefficient is 1, and it is obtained.
Verb (abbreviation of verb) drawing questions (6 points for each question, *** 12 points)
24. Solution: Omit the three views.
25. Solution: (1) sketch; (2) cm.
Seven, (this question 6 points)
27. Solution: There are three situations:
(1) The overlapping surface is 5cm long and 4cm wide, so the surface area of the new cuboid is
(cm2)；
(2) The overlapping surfaces are 5cm long and 3cm high, so the surface area of the new cuboid is
(cm2)；
(2) Overlap the surfaces with a width of 4cm and a height of 3cm, and the surface area of the new cuboid is
(cm2)。
So in these new cuboids, the maximum surface area is 164cm2.
Eight, (this question 10)
28. Solution: (1) If a fan booked a ticket for men's basketball, he booked a ticket for table tennis. According to the meaning of the question, he got.
.
Solve,.
So ...
That is, the fans booked six tickets for men's basketball and four tickets for table tennis.
(2) If a fan orders tickets for men's basketball, he orders tickets for football and table tennis. According to the meaning of the question, he can get
.
Solve,.
So ...
That is, the fans booked three tickets for men's basketball, three tickets for football and four tickets for table tennis.