Description:
1. This paper is * * 6 pages, including multiple-choice questions (65438 questions +0 to 8, * * 8) and non-multiple-choice questions (9 to 28 questions, * * 20). The full mark of this volume is 150, and the examination time is 65438.
2. Before answering questions, candidates must fill in their names and admission ticket numbers in the corresponding positions on the answer sheet, and at the same time, they must fill in their names, admission ticket numbers and graduation schools in the binding line of the test paper, and fill in the seat number in the lower right corner of the first side of the test paper.
3. All questions must be answered on the special "answer sheet", multiple-choice questions should be answered with 2B pencil, and non-multiple-choice questions should be answered with 0.5mm black ink pen at the designated position. It is invalid to answer questions on the test paper or draft paper.
4. The drawing must be answered with 2B pencil, and please describe it clearly in black and bold.
A, multiple-choice questions (this topic * * * a total of 8 small questions, each small question 3 points, * * * 24 points. Only one of the four options given in each small question meets the requirements of the topic. Please mark the letter code before the correct option in the corresponding position on the answer sheet).
The reciprocal of 1 Yes ()
A.B. C. D。
2. The result of calculation is ()
A.B. C. D。
3. As shown in the figure, two points on the number axis correspond to real numbers respectively.
The following conclusion is correct ()
A.B.
C.D.
4. Among the following four kinds of geometric figures, the geometric figure whose left view is quadrilateral * * * has ().
A. 1
5. As shown in the figure, on the square paper, translate the triangle A in Figure ① to Figure ②.
The position shown in, together with triangle B, becomes a rectangle, and then the lower part is flattened.
Dynamic method, the correct is ()
A. First translate 3 squares downward, and then translate 1 square to the right.
B. First, move 2 squares downward, and then move 1 square to the right.
C. First, translate 2 squares downward, and then translate 2 squares to the right.
D. First, translate 3 squares downward, and then translate 2 squares to the right.
6. A new shirt was tried on in a shopping mall, and the sales situation within one week is shown in the following table:
Model (cm) 38 39 40 4 1 42 43
Quantity (Pieces) 25 30 36 50 28 8
The store manager wants to know which model is the best seller, and in the statistics of the above data, the most meaningful one for the store manager is ().
A. Mean B. Mode C. Median D. Variance
7. As shown in the figure, the following four groups of conditions are given:
① ;
② ;
③ ;
④ .
Among them, the enabling condition * * * has ()
A. 1 Group B.2 Group C.3 Group D.4
8. The following is a list of figures arranged according to certain rules:
No.1:;
Second place:;
Third place:;
……
Number:.
Then, among the numbers 10, 1 1, 12 and 13, the largest number is ().
A. number 10 b. number11c. number 12d. number 13.
Two. Fill in the blanks (There are 10 small questions in this big question, with 3 points for each small question and * * 30 points. There is no need to write the answer process, please fill in the answer directly in the corresponding position on the answer sheet).
9. calculation.
10. The meaningful range is.
1 1. The area of Jiangsu Province is about 102 600km2. , which can be expressed as km2 by scientific notation.
12. The image of the inverse proportional function is in the fourth quadrant.
13.in 2008, the per capita annual income of farmers in a county was 7 800 yuan, and it is planned that by 20 10, the per capita annual income of farmers will reach 9 100 yuan. If the average growth rate of per capita annual income is 0, the equation can be formulated.
14. If, then.
15. As shown in the figure, a circular turntable is divided into five sector areas, which are marked with the numbers 1, 2, 3, 4 and 5 respectively. The position of the dial pointer is fixed, and it is allowed to stop freely after rotating the dial. When the turntable stops rotating once, the probability that the pointer points to the area marked with even number is (even number), and the probability that the pointer points to the area marked with odd number is recorded.
16. As shown, yes, the diameter chord. If, then.
17. Given that the side length of a regular hexagon is 1cm, draw an arc with its three non-adjacent vertices as the center and 1cm as the radius (as shown in the figure), then the sum of the lengths of the three arcs is cm (the result is reserved).
18. As shown in the figure, it is known that the center line is trapezoidal, and its area is, so the area is cm2. ..
Three. Solution (this big question * * *, there are 10 small questions, and the score is * * 96. Please answer in the designated area of the answer sheet, and write the necessary text description, proof process or calculus steps when answering).
19. (The full mark of this question is 8) Calculation:
( 1) ; (2) .
20. (The full mark of this question is 8) A city has tested the academic level of ninth grade students, and the results are divided into four grades: A, B, C and D. In order to understand the results of this math test, the relevant departments * * * selected 2,000 students from four groups in the city, including rural areas, counties, towns and cities, for statistical analysis, and the statistical chart of the corresponding data is as follows:
Excuse me, is this your test paper?