New Beijing Normal University printing plate seventh grade mathematics final examination paper;
1. Multiple choice questions: (Fill in the following table with the answers you think are correct for the following questions. 3 points for each small question, ***30 points)
1. In the following formula, the correct one is
992 2 a . 5-|-5 | = 10 b .(- 1)=-99 c .- 10 =(- 10)？ (- 10) D.-(-2)=4
2. Which of the following algebraic expressions must be positive?
A.(x？ 1)2 B.x？ 1 C .(？ x)2？ 1 D？ x2？ 1
3. As shown in the figure, the front view of the geometry is ...
4. the positions of numbers a and b on the number axis are as shown in the figure, so a? B yes.
A. positive number B. zero C. negative number D. possible a 0 b x
(fig. 4) 5. The following brackets are correct.
22A.a？ (b？ c)？ Answer? b？ c B.xx？ yx？ x？ y
C.m？ 2(p？ Q)? m？ 2p？ q D.a？ (b？ c？ 2d)？ Answer? b？ c？ 2d
6. How many of the following four statements are correct?
① If the line segment AB=BC, then B is the midpoint of the line segment AC; ② The straight line between two points is the shortest;
③ Angles greater than right angles are obtuse; (4) As shown in the figure, ABD can also be used? B means.
1 C.2 D.3 A C
(fig. 6) D 7 Given a-b = -2, the value of algebraic expression 3 (a-b)2 -b+a is
A.b .- 12 c . 10d . 12
8. According to the bulletin of 20 1 1 the sixth national census, the permanent population of Chengdu is about14.05 million.
Represented by scientific symbols as
A.14.05 million = 1.405? 10 B.14.05 million = 1.405? 10
C.14.05 million = 1.405? 10 d.14.05 million = 1.405? 10
9. The staircase classroom of a teaching building has m seats in the first row, and there are 4 more seats in the back row than in the front row.
So the number of seats in row n is
A.n+4(m？ 1) B.m+4(n？ 1) C.m+4n D.m+4
10. The deformation of the following equation is correct. ..
A.x-6x=7-5 B from x+5=6x-7. -2x-2=3 from -2(x- 1)=3。
C. to 5847x? 3 10x？ 30? 1? 10 0.77
22D。 From 13x? 9x？ 3 Get 2x =-122 seconds and fill in the blanks (3 points for each question, *** 15 points) 1 1. If the algebraic expression (m? 2)x？ 5y？ The value of 3 has nothing to do with the value of the letter x, then m
12. A factory produces a set of machine tools in the first month, and the number of machine tools produced in the second month is 1.5 times that of the first month minus 2, so these two months are * * *.
Production machine tools.
13. If there are 90 people in Class A and Class B, if 3 people are transferred from Class A to Class B, Class A and Class B are equal in number, and Class A is the original person.
3 14. As shown in the figure, it is known that point C is on line AB, line AB = 14cm, and BC=AC.
, C B A 4 (No. 14), then the length of BC is.
15. If an electrical product is sold at a 10% discount on the original price, it will make a profit 150 yuan. If it's sold at 30% off the original price, it's a loss for 50 yuan.
The purchase price of this commodity is _ _ _ _ _ _ _ yuan per piece.
Three, solve the problem (write the necessary steps to solve the problem, ***24 points)
16. (6 points for each question, *** 12 points) Calculation:
1? 42( 1)? 2? (? 8) 16? 3? 9? 2? 33
523(2)? 32? (? 3)2? 3? (? 2)4+()? (? 12) 1234
17. (6 points for each small question, *** 12 points) Solve the equation.
(1) Solve the equation: x?
(2) Simplify first and then evaluate: 2 (5a2-7ab+9b2)-3 (14a2-2ab+3b2), where a=3, b? -2.43
Iv. Answer questions (6 points for 18, 7 points for 19, *** 13)
18. As shown in the figure, it is known that O is a point on the straight line AB, and three rays OC, OD, OE and OC are drawn above the straight line AB through the O point.
? AOD？ BOE？ 3? DOE？ COE？ 70? , beg? The degree of BOE.
A O 1？ xx？ 2 1 36B
19. The following figure is the 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 and left views of this geometry.
Verb (abbreviation of verb) solving problems (9 points for each small question, *** 18 points)
20. A school? Welcome the new year? Four competitions were held in the theme art activities. They are: A speech, B singing and C book.
Method and three-dimensional drawing. Each student only needs to participate in and report on one project. Take Class 9 (1) as the sample for statistics, and draw the following two statistical charts. Please answer the following questions according to the information given in the chart:
(1) Find out the percentage of students participating in the painting competition in the class;
(2) Find out the degree of the fan-shaped central angle in the fan-shaped statistical chart where the students participating in the calligraphy competition are located;
(3) If there are 500 ninth-grade students in this school, please estimate how many students * * * will participate in the speech and singing of this activity?
project
2 1. A company wants to transport 240 tons of sugar to A and B in A city, and it will take 20 trucks * * *, which can be loaded just once.
A batch of sugar. It is known that the load capacity of these two trucks is 15t/ car and 10t/ car respectively, and the freight for transportation to A is: 630 yuan/car and 420 yuan/car respectively; The freight to B is: 750 yuan/car, 550 yuan/car.
(1) Find the number of two kinds of trucks;
(2) If 65,438+00 trucks are arranged to go to Place A, one truck will be transferred to Place A, and the rest trucks will go to Place B. If the total freight is W,
Find the relationship between w and a (w is represented by an algebraic expression containing a)
The answer to the final examination paper of seventh grade mathematics of Beijing Normal University Edition:
Iii. Solve the problem (write down the necessary steps to solve the problem, ***24 points) 16. (6 points for each question, *** 12 points) Calculation:
42? 1?
( 1)? 2? 8 16? 3?
9? 2?
three
three
Solution: (1)
4? 1? 2
Original style? -8-8? -? -? - 16-3? (3 points)
9? 8?
? 64-2? (45 points)? 66
523
(2)? 32? (? 3)2? 3? (? 2)4+()? (? 12)
1234
? 3 points) Original formula? -9? 9-64-5-8? 9(
? - 1-6? 4-5-8? (95 points)
? -7(6 points)
17. Calculation problem (1) Solution equation: x?
1? xx？ 2
1 36
Solution: 6x-2( 1-x)=x+2-6(3 points)
6x-2+2x=x-4 7x=-2 X=-
2
(6 points) 7
(2) Simplify first and then evaluate: 2 (5a2-7ab+9b2)-3 (14a2-2ab+3b2), where a=3, b? -2.
43 solution: the original formula =10a2-14ab+18b2-42a2+6ab-9b2 =-32a2-8ab+9b2 (3 points).
? 3? 2? When a=3, b? -2, the original formula =-32? -8 ? 3? -? =-18+4+4=-10(6 points)
434? 3 16?
six
2
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Iv. Answer questions (7 points for 18, 6 points for 19, *** 13)
18. As shown in the figure, it is known that O is a point on the straight line AB, and three rays OC, OD, OE and OC are drawn above the straight line AB through the O point.
? AOD？ BOE？ 3? DOE？ COE？ 70? , beg? The degree of BOE.
Solution: Settings? DOE=x (1 point) 00
? AOD= 180-4x ∵OC split equally? AOD 3=
1 10000
? AOD =( 180-4x)=90-2x(3 points) 22
A
∵? COE=700，？ 90-2x+x=70 (5 points)? x=20，BOE=3x0 =3？ 20 =60
19. 3 points for each figure)