Hunan education edition seventh grade mathematics volume second final examination questions
(The examination time is 90 minutes out of 100).
Title I
( 1? 10) 2
( 1 1? 20) Three total scores
2 1 22 23 24 25 26
score
commentator
Choose one carefully first (this big question is a small question of *** 10, with 3 points for each question and 30 points for * * *). I believe you will definitely choose the right one!
1. In the following life phenomena, translation belongs to-.
A. the football rolls on the grass. Open the drawer
C. the text of the slide is converted to the screen by projection. D. the pendulum swings.
2. Among the following equations, the one that belongs to the binary linear equation is-().
A.+2y = 1 b . x+= 2 c . 3 x2+y = 4d . 2x+= 8
3. Teacher Wang made statistics on the blood types of 40 students in this class, and listed the following statistics, indicating that the blood type of this class is B type.
Type a, b, AB and o
Frequency 0.4 0.35 0. 1 0. 15
The number of people is.
A. 16
4. Which of the following survey methods is suitable for a comprehensive survey? ( )
A. understand the time when our students finish their homework every day. B. Understand the air pollution index of Huzhou.
C the fluorescent lamp factory should test the service life of a batch of lamps. Inspection before the plane takes off.
5. The following calculation is correct ()
A.B. C. D。
6. As shown in the figure, a ruler is placed on a 30? On the triangle ruler, you know? 1=40? And then what? The degree of 2 is ()
300 BC, 400 BC, 500 BC and 600 BC
7. As shown in the figure, the fourth page (bottom) of the seventh grade textbook gives a method of drawing parallel lines with a triangle ruler and a ruler, which can explain that the condition of AB∑DE is-.
A.？ CAB=？ FDE Bay? ACB=？ Ministry of Education
C.？ ABC=？ DEF D？ BCD=？ Edge-limited feed film growth
8. Factorizing x2-y2-2y- 1 is correct ().
A.(x+y+ 1)(x-y- 1)b .(x+y- 1)(x-y- 1)
C.(x+y- 1)(x+y+ 1)d .(x-y+ 1)(x+y+ 1)
9. If known, the value of is ().
A.B.- C.2 D.-2
10. The picture shows a scenic spot,,,,, which are the five main scenic spots in this scenic spot. Now tourists gather in this place. If you are a tour guide, you should lead tourists to enjoy these five scenic spots before returning to them, but you don't want to walk more? Wrong way? You can't take a repeated route and pass the same scenic spot. What kind of route do you think you can choose? - ().
a4 b . 5 c . 6d . 7
Second, fill in carefully (this big question * * 10 small question, 2 points for each small question, 20 points for * * *). Please fill in the results directly on the line in the question. As long as you understand the concept, calculate carefully and think positively, you can certainly do it!
11.1nm = 0.0000001m, then 3 nm = _ _ _ _ _ m (expressed by scientific counting method).
12. As shown in the figure, straight lines AB and CD are cut by straight line EF, then? The inner angle of 1 is.
13. In the math unit test of Class 7 (1) in a school, the frequency histogram of all students' grades in the class is as shown in the figure (full mark 100, students' grades are rounded off), so the frequency of grades in the range of 90.5 ~ 95.5 is _ _.
14. For the equation, the value of 3 (x+y)-3x+5y is.
15. Factorization:
16. If, then =
17. As shown in the figure, straight line AB∨CD,? GEB's bisector EF intersects CD at point f, and then what? Two equals.
18. The quadratic trinomial x2-(2k-3)x+9 is completely flat, so the value of k is.
19. When a=, the equation about x will produce an increasing root.
20. As shown in the figure, the shadow part is a graph obtained by cutting a big square with a side length of a and a small square with a side length of b, and the shadow part is cut and spliced to form a new graph. The following four cutting and splicing methods are given, in which the square difference formula can be verified (fill in the serial number).
Figure ① Figure ②
Figure ③ Figure ④
Third, answer carefully (this big question is ***6 small questions, ***50 points). As long as you think carefully and calculate carefully, you will definitely get the correct answer!
2 1. Calculation (4 points for each small question, ***8 points)
( 1)(-4)0+(- 1)20 14 - (2)
22. Solve equations or equations (4 points for each small question, 8 points for * * *)
( 1)
(2)
23. (6 points in this question) Simplify before evaluating: (x- 1x-x-2x+ 1)? 2x2- The final examination paper of Grade 7 Mathematics Volume of Hunan Education Press is 2+2x+ 1, where x satisfies x=-3.
24. (8 points for this question) To celebrate the 40th anniversary of the founding of the school, a school in Huzhou organized? Is Cai Jing chanting? Activities. In order to select students to participate in this activity, Class 3, Grade 1, Senior High School held a tryout in the class. The results were divided into four grades: A, B, C and D. According to the collected data, two incomplete statistical charts were drawn. Please answer the following questions according to the information given in the chart:
(1) Ask for the number of students in Class 1 (3) * * *;
(2) Complete the broken line statistics table;
(3) What is the grade in the pie chart? d？ The degree of the central angle occupied by the parts is:
(4) If Grade A is excellent, seek the excellent rate of the class.
25. (This question 10) As shown in the figure, the rays CF and AE are cut by a straight line GH, and the intersection points are D and B respectively, connecting AD and CB. If, and DA equally.
(1) explain the reasons as far as possible; (2) If so, to what extent?
26.( 10) A company in Huzhou has two construction teams, A and B.
(1) Two teams * * * completed a project at the same time. Team B did 1 day alone, and then two teams completed the whole project in two days. It is known that the number of days required for Team A to complete this project alone is two-thirds of that required for Team B to complete this project alone. How many days does it take for Team A and Team B to finish this project alone?
(2) Team A works for 5 days, and Team B 1 day, with a total cost of 34,000 yuan; The sum of the expenses for team A to work for 3 days and team B to work for 2 days is 26,000 yuan, so what are the daily expenses of the two teams?
(3) The company is undertaking a project that is twice as big as ①, and it needs two teams to do it. Moreover, Team A and Team B don't work together on the same day, so they have to do integer days separately. How many days does each team need to do? If you pay according to (2), which method do you think is the least?
Hunan education edition seventh grade mathematics volume second final examination paper reference answer
1. Choose carefully (3 points for each small question, 30 points for * * *).
The title is 1 23455 6789 10.
Answer B A B D D C A A D C
2. Fill in carefully (3 points for each small question, 24 points for * * *).
1 1、 ; 12、 ? 3 ; 13、 0.4 ; 14、 24 ;
15 、- 2(a+3)(a-3)； 16、 ; 17、 160? ; 18,4.5 or-1.5;
19、 9 ; 20、 ①②③④
Three. Seriously understand a solution (***46 points)
2 1. (8 points for this question, 4 points for each small question)
( 1)(-4)0+(- 1)20 14 - (2)
Solution: Original formula = 1+ 1-23 Decomposition: Original formula =? 2 points
=0 1 = 1
= ? 1 point
22. (4 points for each small question, 8 points for * * *)
(1) solution:
① ? 2 to obtain 6x- 10y= 18 ③.
② ? 3 -6x+9y=- 18 ④
③+④ Get -y=0 x=2 1。
Y = 0.2 points
Substitute y=0 into ① to get x=3 1.
? The solution of the equation is 1.
(2) Solution: 1-x+2(x-2)=- 1? 1 point
1-x+2x-4=- 1
X=2 1 min
Prove to be the root of the original equation? 1 point
? The original equation has no solution? 1 point
23. (6 points for this question)
Solution: The original formula =? 1 point
= ? 1 point
= ? 1 point
= ? 1 point
When x=-3, the original formula = 2 points.
24. (8 points for this question)
Solution: (1)30? 50%=60
A: There are 60 students in Class * * * in Grade 1 (3) of Senior High School; ? 2 points
(2)2 points
(3) 108? ; ? 2 points
(4)3? 60? 100%=5%
A: The excellent rate of this class is 5%. 2 points
25. (This question 10)
(1) Proof: ∵? BDC+？ GDC= 180 1。
? HBE+？ GDC= 180 1。
BDC=？ HBE 1 integral
? AE∨fc 1 min
2 ∫ da split equally? BDF
ADF=？ ADB=50？ 1 point
∫AE∨FC
EBC=？ c？ 1 point
∵? A=？ C
EBC=？ Answer? 1 point
? AD ∨ BC 1 min
C=？ ADF=50？ 1 point
∫AE∨FC
EBC=？ C=50？ 1 point
26. (This question 10)
Solution: (1) It takes X days for Team B to complete this project alone and X days for Team A to complete this project.
Score 1 according to the meaning of the question.
The solution is x=6 1.
x=4
Answer: Team A needs 4 days to complete this project, and Team B needs 6 days to complete this project alone. 1 min.
(2) The daily cost of construction group A is X yuan, and the daily cost of construction group A is Y yuan.
Get 2 points according to the meaning of the question.
solve
A: Team A costs 6000 yuan a day, while Team B costs 4000 yuan? 2 points
(3) Team A works for X days and Team B works for Y days to complete this task.
Score 1 according to the meaning of the question.
The solution is 1.
Answer: Team A works for 2 days and Team B works for 9 days; Or team a works for 4 days and team b works for 6 days;
Team a works for 6 days and team b works for 3 days; Obviously, the smaller a is, the better. Therefore, Team A works for 2 days and Team B works for 9 days, with the lowest salary. 6000+9? 4000=48000 yuan. 1 point
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