The final examination paper of the first volume of seventh grade mathematics 1. Believe in your choice (3 points for each small question, 36 points for * * *)
The reciprocal of 1 Yes (). (a) section 5 (B) (C)? Article 5 (d)
2. In the figure below, what can't be folded into a cube is ().
3. The sum of all integers whose absolute values are not greater than 10 is equal to ().
(1) (2)? (C) 10 (D)
4. According to the data of the sixth population census published by Ningbo Municipal Bureau of Statistics, the permanent population of this city is 7,605,700, of which 7,605,700 are expressed as () by scientific notation.
7.6057？ 105 (B)7.6057? 106 person
7.6057？ 107 person (D)0.76057? 107 person
5.28 cm is close to ().
(a) The height of Mount Everest (b) It is three stories high.
(c) The height of Yao Ming (d) The thickness of a piece of paper.
6. In preparation? Classic red songs ring the golden campus? Chorus, the school chose four classic red songs: ① defending the Yellow River; 2 "Ten Send to the Red Army"; (3) "We are on the Road"; (4) My Motherland. The monitor said to 50 students in the class. Which red song do you want to sing most? After a questionnaire survey, Xiao Ming got the statistical results of the monitor as shown in Figure 2, and drew the following four conclusions, of which the wrong one was ().
(1) Most people want to sing "Send Ten to the Red Army".
(2) The number of people who want to sing "My Motherland" most is three times that of "We Walk on the Avenue"
(3) The number of people who want to sing "Defend the Yellow River" most accounts for 40% of the class.
(d) 10 People don't want to sing these four red songs.
7. In ① and; 2 and; 3 and; (4) and (3) which are similar items respectively are (). (A)②④ (B)①③ (C)②③ (D)①②。
8. calculate (? 1)2 + (? 1)3 = (). (1)? 2 (B)？ 1 (C)0 (D)2
9. A factory produces a product first, and the output in the second year is 20% higher than that in the first year, so the number of products produced in two years is (). (a) 0.2A (b) A (c) 1.2A (d) 2.2A
10. A team takes part in the competition and remains unbeaten in the first nine games. The score of * * * is 2 1. In the game, it is stipulated that if you win a game, you will get 3 points, and if you draw a game, you will get 1 point, so the number of games won by this pair of * * * is (). (a) Articles 4 (b), 5 (c) and 6 (d).
12. If a-5b= -3, then the value of algebraic expression 5-a+5b is () a.0b.2c.5d.8.
Second, try your skills (3 points for each small question, 24 points for * * *)
13 comparison size: _ _ _ _ _ _; ______ .
14 right-angled triangle ruler rotates once around the straight line where one of its right-angled sides is located, and the geometric figure formed is _ _ _ _ _.
15 Given line segment AB=7cm, if line segment BC=3cm is drawn on straight line AB, then line segment AC = _ _ _ _ _ _
16 knows that the value of the algebraic expression is 1 and the value of the algebraic expression is +20 1 1.
Since June 3rd 17 20 1 1, the rainstorm and flood disaster in southern China has affected 36.57 million people. In order to help the people in the disaster area tide over the difficulties, all the teachers and students in our school actively donated RMB * * * 42,500, of which 88 teachers donated RMB A per capita, so our students donated RMB * * (expressed by the algebraic expression with A).
18. If sum is a similar item, the value of is.
19. The following is an equation polluted by ink: The answer shows that the solution of this equation is that what is covered by ink is a constant, so this constant is _ _ _ _ _ _ _.
20. It is stipulated that * is an operation symbol, and a*b=a? b-2？ A, so it's 4* (? 2*3)= .
Third, challenge your skills (this big topic ***36 points)
2 1. (4 points for each small question, ***8 points) Calculation:
( 1) ;
(2) .
22. (8 points for this question) Is there a problem? Simplify before evaluating: 15x2? (6x2 +4x)？ (4x2 +2x？ 3)+(? 5x2 +6x？ 9), where x = 20 12. When did Xiao Fang do the problem? x = 20 12？ Are you mistaken? x = 202 1？ But her calculation result is correct. Can you explain why?
23. (The score of this question is 10) (1) It is known, as shown in Figure 3. Point C is on line segment AB, line segment AC= 12, BC=4, and point M and point N are the midpoint of AC and BC respectively, so find the length of MN.
(2) According to the calculation process and results of (1), let AC+BC=, and other conditions remain unchanged. Can you guess the length of MN? Please use concise language to express the law you found.
24. (Question 10) In order to encourage land-lost farmers to start businesses, a county awarded 60 land-lost farmers 20 10 with a reward amount of 1000 yuan. The reward standard is: land-lost farmers have started their own businesses for more than one year 1000 yuan; Those who start their own businesses and solve the problem of stable employment for more than 5 unemployed people 1 year will be rewarded with 2000 yuan. Q: How many landless peasants in this county have started their own businesses for more than one year, and solved the problem that more than five unemployed people have been employed stably for more than one year?
Four, comprehensive application (this question ***24 points)
25. (This title is 12) According to the results of the fifth and sixth national censuses, the total resident population of a city increased from 4 million in the fifth to 4.5 million in the sixth. The statistical chart of the education level of the resident population is shown in Figure 4 (some data are not given):
Answer the following questions:
(1) Calculate the number of people with primary school education in the sixth population census and complete the histogram;
(2) Find the number of people with junior high school education per 10,000 permanent residents in the fifth census;
(3) Compared with the fifth census, how much has the number of people with junior high school education increased per 10,000 people?
26. (this question 12 points) two supermarkets, A and B, sell the same goods at the same price. In order to attract customers, they each offer different preferential schemes: after the accumulated goods purchased by supermarket A exceed 300 yuan, the excess part will be discounted at 20% of the original price; After the accumulated purchases in supermarket B exceed 200 yuan, the excess will be discounted at 8.5% of the original price. Suppose a customer expects to buy X yuan (x & gt300).
(1) Please use algebraic expressions containing X to represent the expenses paid by customers in two supermarkets respectively;
(2) A customer went to two supermarkets to buy the same goods and paid the same price. Do you know how much the customer spent? Please list the solution of the equation.
The answer to the math final exam in the first volume of the seventh grade 1. 1 ~ 5 DDBBC
6~ 10DACDC
1 1.C 12。 D
Second, 13.
18. 1 19.20.。
3.2 1. Solution: (1) = = 1.
(2) = = =0.
22. Solution: 15x2? (6x2 +4x)？ (4x2 + 2x？ 3)+(? 5x2 + 6x 9)
= 15x2 6x2？ 4x？ 4x2？ x 3？ 5x2 + 6x9
= 15x2 6x24x2？ 5x2？ 4x？ x+ 6x 3 9= 12。
Because the result of simplifying the original polynomial (that is, removing brackets and merging similar terms) is 12, this result does not contain the letter X, so the value of the original polynomial has nothing to do with the value of X, so the small square will? x=20 12？ Copy it wrong? x=202 1？ The result is still correct.
23. solution: (1) because points m and n are the midpoint of AC and BC respectively, so
MC= AC=？ 12=6，NC= BC=2。
So MN=MC+NC=6+2=8.
(2) The length of 2)MN is.
It is known that a line segment is divided into two parts, and the distance between their midpoints is equal to half the length of the original line segment.
24. Solution: Assuming that there are X individuals starting businesses 1 year or more, then there are (60-x) farmers starting businesses, which solves the problem that more than five unemployed people have stable employment 1 year or more. List the equations according to the meaning of the question.
1000 x+(60-x)( 1000+2000)= 100000。
Solution: x = 40.
So 60-x=20.
A: Among the landless peasants, 40 started their own businesses 1 year or more, and 20 started their own businesses and solved the problem of stable employment for more than 5 unemployed people 1 year or more.
Four. 25. Solution: (1)450-36-55? 180-49= 130 (ten thousand people), the drawing is correct (omitted);
(2)( 1-3%- 10%-38%- 17%)? 10000 = 3200 (person);
(3) 180? 450? 10000=4000 (person), 4000-3200=800 (person).
26.( 1) The expenses paid for shopping in supermarket A are:
300+0.8(x？ 300)=0.8x+60 (yuan);
The cost of shopping in supermarket B is:
200+0.85(x？ 200)=0.85x+30 (yuan).
(2) If customers spend X yuan every time, they will spend 2x yuan twice. According to the meaning of the question:
0.8x+60=0.85x+30，
Solve this equation and get x=600.
At this time, 2x= 1200 (yuan).
A: This customer spent money twice 1200 yuan.
Developing work plan model article 1
The new semester has started again. I have been working for nearly five years. Like every sem