Su ke printing plate eighth grade mathematics final examination questions.
A, multiple-choice questions (this big topic * * * a total of 6 questions, each question 3 points, *** 18 points. Only one of the four options given in each question meets the requirements of the question. Please fill in the letter code of the correct option in the corresponding position on the answer sheet).
1. Which of the following graphs is the centrosymmetric graph?
A.B. C. D。
2. In order to know the eyesight of grade eight students in Taixing from 2065438 to 2006, 500 students were randomly investigated. The following statement is correct.
A.20 16 The eighth-grade students in Taixing are a whole B. Every eighth-grade student is an individual.
C.500 eighth-grade students are a population sample. D. The sample size is 500.
3. The following calculation is correct
A.B. C. D。
4. When solving the equation by matching method, the original equation should be transformed into
A.B. C. D。
5. When the pressure F (N) is constant, the functional relationship between the pressure p (Pa) and the stress area S (m) is (s? 0), the image of this function is roughly
6. The following statement: (1) The diagonals of the rectangle are perpendicular to each other and equally divided; (2) The four sides of the diamond are equal; (3) A set of quadrangles with parallel opposite sides and another set of quadrangles with equal opposite sides are parallelograms; (4) The diagonals of a square are equal and divided vertically.
Where is the correct number?
1。
The second part is not a multiple-choice question (* *132)
2. Fill in the blanks (this topic is entitled *** 10, with 3 points for each question ***30 points. Please fill in the answer directly in the corresponding position on the answer sheet. )
7. What is the letter in the English word believe? e？ The frequency of occurrence is ▲.
8. In the fractional form, when x= ▲, the fractional form is meaningless.
9. when x? 2 points, simplified: = ▲.
10. If known, the value is ▲.
1 1. If the unary quadratic equation about x has real roots, the range of m is ▲.
12. If the equation about produces an incremental root, then the value of m is _ _ _ _ _ _ _ _.
13. The known points (-1, y 1), (2, y2) and (3, y3) are inverse proportional functions.
On the image, use? & lt？ The connection y 1, y2 and y3 is _ _ ▲ _.
14. As shown in the figure, a square AB CD with a side length of 6 and a square BEFG with a side length of 8.
When discharging together, O 1 and O2 are the symmetrical centers of two squares respectively.
Then the area of △O 1BO2 is ▲.
15. The bisector of an angle in the parallelogram ABCD divides an edge into 3cm and.
4cm two parts, the perimeter of this quadrilateral is _ _▲_ _ _ cm.
16. In the plane rectangular coordinate system, the side oc of the parallelogram OABC is located on the X axis.
On the positive semi-axis, use points C (4 4,0), B (6 6,2) and straight line y=2x+ 1 in units of/kloc-0 per second.
The speed of downward translation, after ▲ seconds, the straight line can be a parallelogram.
The area of OABC is divided equally.
Iii. Answer (This big question * * has 10 small question, *** 102, please specify the area on the answer sheet.
When answering, the answer should write the necessary text description, proof process or calculation steps)
17. (The full mark of this question is 10)
Calculation: (1) (2)
18. (The full mark of this question is 10)
Solve the equation: (1) (2) (x-2) 2 = 2x-4.
19. (The full mark of this question is 8)
Simplify first and then evaluate:, where m is the solution of equation x2-x = 20 16.
20. (The full mark of this question is 10)
During the campus reading festival of a school, the school is going to buy a batch of extracurricular reading materials. In order to meet the needs of students, the school will? My favorite extracurricular reading? A sample survey was conducted on some students in four categories, such as literature, art and popular science (each student only chooses one category). The following figures are two incomplete statistical charts drawn according to the survey results. Please provide information according to the statistical chart.
Answer the following questions:
(1) In this sampling survey, * * * selected _ _ _ _ _ students;
(2) In the bar chart, m = _ _ _ _ _ _ n = _ _ _ _ _ _
(3) The position of fan-shaped art books in the fan-shaped statistical chart.
The central angle is _ _ _ _ _ degrees;
(4) The school plans to buy 6000 extra-curricular books, please follow them.
Sample data, estimate how much the school buys other kinds of reading materials.
Is this book more reasonable?
2 1. (The full mark of this question is 10)
As shown in the figure, in the quadrilateral ABCD, ABCD,? B=？ D.
(1) Verification: The quadrilateral ABCD is a parallelogram;
(2) If point P is a point on diagonal AC, PE? AB, PF in E? AD in f,
And PE=PF, which proves that the quadrilateral ABCD is a diamond.
22. (The full mark of this question is 8)
A certain unit will conduct military exercises in the designated mountainous area. In order to make the road convenient for heavy vehicles of the army to pass through, army engineers are connected to the task of repairing a 3600-meter-long road. After completing the overall task as planned, in order to put the road into use as soon as possible, the engineering company improved its work efficiency and completed the task in 10 hour.
(1) When the overall task is completed as planned, the road table has been repaired;
(2) Find out how many meters of roads are built per hour according to the original plan.
23. (The full mark of this question is 8)
Before answering the question, please observe the following equation:
① ;
②
③ ;
(1) According to the information provided by the above three equations, please guess the fourth equation;
(2) According to the above equation, please try to write an equation expressed by n(n is a positive integer) and prove it with your knowledge.
24. (The full mark of this question is 12)
The dockers load the goods onto the ship at a loading speed of y (ton/day) every day.
The functional relationship with the time required for loading x (days) is shown in the figure.
(1) Find the function expression between y and x;
(2) In case of emergency, the cargo on board is required to be unloaded within 5 days.
So how many tons of goods are unloaded on average every day?
(3) If there are 10 original workers on the dock, and each worker has the same daily loading and unloading capacity, loading
It took only eight days to finish. Under the condition of (2), how many more students do you need at least?
Can the workers finish the task?
25. (The full mark of this question is 12)
As shown in the figure, in Rt△ABC,? B=90？ ，AC=60cm，？ A=60？ , point d
Starting from point C, move to point A in the direction of CA at a constant speed of 4cm/s, while point E.
Starting from point A, move to point B in the direction of AB at a constant speed of 2 cm/s, when
When one point reaches the end point, the other point stops moving. Set the moving points d and e.
The time is t seconds (0