Shandong education publishing house, the first volume of the first day of junior high school, mathematics final examination questions.
First, multiple-choice questions (***20 small questions, 3 points for each small question, out of 60 points)
The absolute value of 1 -3 is ()
A.3 B.﹣3
2. Among the following four images, the one that does not represent the function image is ().
A.B. C. D。
3. The following line chart describes the temperature change in a certain place on a certain day. According to the information in the picture, the following statement is wrong ()
A.4: 00 is the lowest temperature; B.6: 00 is 24℃.
C. 14: 00 Maximum temperature D. Time at 30℃ is 16: 00.
4. As shown in the figure, the correct one of the four options is ().
A.a & lt﹣2﹣ 1 c . a & gt； b D.b & gt2
5. As shown in the figure, it can be folded into a cube, so it is the same as? What about you? The negative word is ()
A. China's dream
At the beginning of 6.20 15, the CRH5 high-speed train set was carried out. 300,000 km main line operation assessment? Marks the China high-speed express train from? Made in China? Arrive? China created it? Leap 300000, using scientific notation for ()
A.3？ 106 B.3？ 105 C.0.3？ 106 D.30？ 104
7. As shown in the figure, point C is the midpoint of line segment AB and point D is the midpoint of line segment BC. The following equation is incorrect ().
A.cd=ad﹣bc b.cd=ac﹣db CD = ab﹣bd d . CD = ab
8. Transform the equation into x=2 according to ().
A. Properties of Equation 1 B. Properties of Equation 2
C. Basic properties of fractions D. Properties of inequalities 1
9. The size of the comparison, the result is correct ()
A.B. C. D。
10. If the number of single items is 8, the value of m is ().
A.8 B.6 C.5 D. 15
1 1. Polynomials 2x2-5x+x2+4x-3x2 are merged with similar terms, and the result is ().
A. quadratic binomial B. quadratic trinomial C. linear binomial D. monomial
12. The result of simplifying m-n-(m+n) is ().
C.-2n d.2m-2n 102 million
13. Simplify 4 (2x- 1)-2 (- 1+00x), and the result is ().
A.﹣ 12x+ 1 b. 18x﹣6 c.﹣ 12x﹣2 d. 18x﹣2
14. The number of errors in the following operations is ()
; (2)﹣4? (﹣7)? (﹣ 125)=﹣(4? 125? 7); ; (4)[3? (﹣2)]? (﹣5)=3? 2? 5.
1。
15. If x=2 is the solution of the equation 2x+3m ~ 1 = 0 about x, then the value of m is ().
A.-165438 BC
16. Equation 2- Denominator ()
a.2﹣2(2x﹣4)=﹣(x﹣7)b. 12﹣2(2x﹣4)=﹣x﹣7
c.24﹣4(2x﹣4)=(x﹣7)d.24﹣8x+ 16=﹣x﹣7
17. Mr. Wang deposited a three-year time deposit in the bank with an annual interest rate of 4.25%. If the principal and interest (principal plus interest) after maturity is 33,825 yuan, and the principal deposited by Mr. Wang is X yuan, then the following equation is correct ().
A.x+3？ 4.25%x=33825
C.3？ 4.25%x=33825 D.3(x+4.25x)=33825
18. The solution of equation 2x- 1 = 3x+2 is ().
a . x = 1 b.x=﹣ 1 c . x = 3 d.x=﹣3
19. As shown in figure 1, cut two small rectangles from a square paper with a side length of a to get a new pattern, as shown in figure 2, and then splice the two small rectangles into a new rectangle, as shown in figure 3. The circumference of the new rectangle can be expressed as ().
a.2a﹣3b b.4a﹣8b c.2a﹣4b d.4a﹣ 10b
20. With the increasingly fierce competition in the clothing market, a brand clothing store reduced the price of a garment by one yuan, and then reduced the price by 20%. Now the price is B yuan, so the original price is ().
A.(a+ b) Yuan B.(a+ b) Yuan C.(b+ a) Yuan D.(b+ a) Yuan
Fill in the blanks (***4 small questions, 5 points for each small question, out of 20 points)
2 1. The result of calculating () is _ _ _ _ _ _ _ _.
22. A middle school? Sunshine exercise time? Activities, according to the actual situation of the school, decided to open as shown in figure? A: kicking shuttlecock, b: basketball; C: skipping rope; D: table tennis? Four sports (each student must choose one). In order to know which sports students like best, some students are randomly selected for investigation, and the survey results are drawn into a statistical chart as shown in the figure. Then the number of students participating in the survey who like skipping is _ _ _ _ _ _ _ _.
23. Xiaoming spent 120 yuan on a basketball in a sporting goods store on Sunday. It is known that basketball is 20% off the list price, so the list price of basketball is _ _ _ _ _ _ _.
24. The figure below is composed of several black and white squares according to certain rules. There are two black squares in Figure ①, five black squares in Figure ②, eight black squares in Figure ③ and 1 1 black squares in Figure ④. According to this rule, the number of black squares in the nth graph is _ _ _ _ _ _ _.
Third, answer questions (***3 small questions, out of 40 points)
25.( 16) Simplification (evaluation):
(1) Simplification: 4a2+3b2+2ab-3a2-3ba-a2;
(2) Simplify first and then evaluate: x﹣2(x﹣ y2)+(﹣), where x=﹣2 and y=.
26. A clothing factory produces suits and ties. Each suit costs 200 yuan, and each tie costs 40 yuan. During the promotion period, the factory provides customers with two preferential schemes:
Buy a suit with a tie;
Pay for the suit and tie at 90% of the list price.
Now a customer wants to buy 20 suits and ties (x & gt20) in this clothing factory.
(1) If the customer purchases according to scheme ①, it needs to pay _ _ _ _ _ _ _ _ _ _ _ (represented by an algebraic expression with X);
If the customer purchases according to Scheme ②, it needs to pay RMB _ _ _ _ _ _ _ _ _ (represented by an algebraic expression with X);
(2) If x=30, through calculation, which scheme is more cost-effective?
27. There are 48 teams and 520 athletes participating in the basketball and volleyball competitions, including basketball teams 10 and volleyball teams 12. Each athlete can only take part in one competition. Q: How many basketball teams and volleyball teams are there respectively?
Shandong Education Press Mathematics Volume I Final Examination Paper Reference Answer.
First, multiple-choice questions (***20 small questions, 3 points for each small question, out of 60 points)
The absolute value of 1 -3 is ()
A.3 B.﹣3
Absolute value of test center.
The basis of analysis is that the absolute value of a negative number is equal to its reciprocal.
Solution: | | = | (| 3) = 3.
So choose: a.
Comment on the concept and solution of absolute value. Summary of the law of absolute value: the absolute value of a positive number is itself; The absolute value of a negative number is its reciprocal; The absolute value of 0 is 0.
2. Among the following four images, the one that does not represent the function image is ().
A.B. C. D。
Image of test center function.
Analysis According to the definition of function, we can know that any value y of x has a unique value correspondence, which closely follows the concept and analyzes the image.
Solution: According to the definition of function, only D can't represent the functional relationship.
So choose D.
This paper mainly examines the reading ability of function images. We should be able to get the type and required conditions of the function according to the nature of the function image and the data on the image, and get the correct conclusion in combination with the practical significance. A simple way to judge the meaning of the function reflected in the image is that the straight line perpendicular to the X axis will only have an intersection with the function image in the process of left-right translation.
3. The following line chart describes the temperature change in a certain place on a certain day. According to the information in the picture, the following statement is wrong ()
A.4: 00 is the lowest temperature; B.6: 00 is 24℃.
C. 14: 00 Maximum temperature D. Time at 30℃ is 16: 00.
Statistical chart of broken line of test center.
Time can be obtained according to the abscissa of the observation function image, and temperature can be obtained according to the ordinate of the observation function image.
Solution: A, as can be seen from the abscissa, the lowest temperature at 4 o'clock is 24℃, so A is correct;
B, according to the ordinate, the temperature is 24℃ at 6: 00, so b is correct;
C, according to the abscissa, the maximum temperature of 14: 00 is 31℃;
D, the time when the temperature is 30℃ away from the abscissa is 12: 00 and 16: 00, so d is wrong;
Therefore, choose: d.
This topic examines broken-line statistical charts. Reading statistical charts and obtaining necessary information from different statistical charts are the key to solving the problem. The dotted statistical chart represents the change of things, such as the temperature change chart.
4. As shown in the figure, the correct one of the four options is ().
A.a & lt﹣2﹣ 1 c . a & gt； b D.b & gt2
The test center counts the shafts.
According to the analysis, the number on the right axis is greater than the number on the left.
Solution: The number on the right side of the number axis is greater than the number on the left.
a & lt﹣2,a