The first volume (multiple choice questions, ***36 points)
First, multiple-choice questions (* * 12 small questions, 3 points for each small question, ***36 points)
There are four alternative answers to the following questions, only one of which is correct. Please black out the code of the correct answer on the answer sheet.
1. xiaoyi's freezer temperature is 5℃ and -2℃, so her freezer temperature is (A)3℃. (B)-3℃。 7 degrees Celsius. It's MINUS 7 degrees Celsius.
2. inequality x
3. Given that the solution of equation 4x-3m=2 about x is x=m, then the value of m is
(1) 2. (B)-2。 (C)2。 7. (d)-2.7
4. The result of calculating the above questions is (a) 2. (b) 2。 (c)-2。 (d) 4。
5. the function y= x-5 aunt's independent variable x has a value range of (a) x >; 5.(B)x & lt； 5.(C)x≥5。 (D)x≤5。
6. As shown in the figure, the hexagonal ABCDEF is an axisymmetric figure. The straight line where CF lies is its axis of symmetry. If ∠ AFC+∠ BCF = 150, the size of ∠AFE-∠BCD is (a) 150. (2).
7. The picture shows a five-ring pattern consisting of five circles. The positional relationship between the two circles in the lower row is
Contain. (b) appearance. (c) intersections. (d) appearance.
8. As shown in the figure, there is an east-west road in front of Xiaoya's house (point O in the figure). It is measured that there is a water tower (point A in the figure) at 60 degrees 500 meters northeast of her house, so the distance from the water tower to the road is AB.
250 meters. 250 pounds. 3 cubic meters. 33 meters (D).2 meters.
9. The planned development diagram of the uncovered cubic box can be one of the following figures.
① ② ③
(a) Figure ① only. (b) Figures ① and ②.
(c) Figures ② and ③. (d) Figures ① and ③.
10. "Blessing Beijing" and "Blessing the Olympics" are the good wishes of everyone in China. Liang Liang, Bing Bing and Jun Jun all have a set of three greeting cards with "Blessing", "Beijing" and "Olympic Games" written on the back. They randomly selected one card from their own deck, and the selected three cards included "Blessing" and "Olympics".
(A) 1:27。 1:9。 (C)2:9。 1: 3。
11.08 In 2008, the number of junior high school graduates in a city was about108,000, a decrease of about 2,000 compared with last year. Among them, the number of people who signed up for the senior high school entrance examination was about 10.5 million, an increase of about 3,000 over last year. Draw the following conclusions:
① Compared with 2007, the number of junior high school graduates in 2008 decreased by 0.210.8×100%;
② Compared with 2007, in 2008, the number of junior high school graduates enrolled in the senior high school entrance examination in this city increased by 0.310.5×100%;
③ Compared with 2007, in 2008, the enrollment rate of junior high school graduates in this city increased by (10.510.8-10.21) ×100%.
The correct number is (A)0. 1。 (C)2。 (D)3。
12. The following proposition:
(1) If a+b+c=0, B2-4ac ≥ 0;
2 If b & gtA+c, the unary quadratic equation ax2+bx+c=0 has two unequal real roots;
③ If b=2a+3c, the unary quadratic equation ax2+bx+c=0 has two unequal real roots;
④ If B2-4ac & gt；; 0, the number of common points between the image with quadratic function y=ax2+bx+c and the coordinate axis is 2 or 3.
The correct (a) is only 1233. (b) Only 1344. (c) Only 144. (d) only 2344.
Precautions:
1. Answer directly on the test paper with a pen or ballpoint pen.
Please fill in the items in the sealed line clearly before answering the questions.
Volume 2 (multiple choice questions, ***84 points)
Fill in the blanks (***4 small questions, each with 3 points, *** 12 points)
13. In the process of establishing a national ecological garden city, the garden department of a city carried out a large number of tree transplants in order to expand the urban greening area. The following table records the number of saplings transplanted and the number of trees surviving under the same conditions:
Based on this, it is estimated that the survival probability of this young tree is _ _ _ _ _ _ _ (the result is expressed in decimal, accurate to 0. 1).
14. as shown in the figure, if the straight line y=kx+b passes through two points A(-2,-1) and b (-3,0), the inequality group is 1.
2x & ltkx+b & lt； The solution set for 0 is _ _ _ _ _ _ _.
(Question 14) (Question 15)
15. As shown in the figure, the ⊙P with radius of 5 intersects with the Y axis at the point M(0, -4), N(0,-10), and the function y = k.
x(x & lt； 0) After point p, then k = _ _ _ _ _ _ _
16. The following patterns are all made of small sticks with the same length according to a certain rule: 1 pattern needs four sticks, the second pattern needs 10 sticks, ..., and according to this rule, the eighth pattern needs _ _ _ _ _ _ _.
1, 2, 3 and 4
Third, answer questions (***9 small questions, ***72 points)
17. (6 points in this question) Solve the equation: x2-x-5=0. 18. (6 points in this question) Simplify first and then evaluate: (2x-3 x- 1)÷x2-9x, where x=2.
19. (6 points in this question) As shown in the figure, points D and E are on BC, FD‖AB, FE‖AC. Verification: △ABC∽△FDE.
20. (7 points for this question) After learning statistical knowledge, Diandian randomly surveyed the ages of several residents in her jurisdiction, and the survey data were drawn into the following fan-shaped and bar-shaped statistical charts:
Please answer the following questions according to the information provided by the above incomplete statistical chart: (1) The students surveyed _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _. (3) If there are about 3,500 residents aged 0- 14, please estimate the number of residents aged 15-59.
2 1. (7 points in this question) (1) The coordinate of point (0, 1) is _ _ _ _ _ _, and the analytical formula of straight line y=2x+ 1 is _ _ _ _. (2) The analytical formula for moving the straight line y=2x+ 1 by 2 units to the right is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _; (3) As shown in the figure, it is known that point C is a point in the first quadrant on the straight line y=x, and the straight line y=2x+ 1 intersects with the Y axis of point A and the X axis of point B, and the straight line AB is translated by 3 2 units in the direction of light oc, so as to find the analytical expression of the translated straight line.
22. (8 points in this question) As shown in the figure, AB is a straight line of ⊙O, AC is a chord, the bisector AD of ∠BAC intersects with ⊙O at point D, and the extension line of ⊥ AC intersects with E.OE at point F. (1) Verification: DE is. (2) If it is alternating current,
AB = 35, find the value of AFDF.
23. (This question 10) The purchase price of a commodity is 30 yuan/piece, and the current price is 40 yuan/piece, and it can be sold 150 pieces every week. Market research shows that if the price of each piece increases by 1 yuan (the price of each piece cannot be higher than that of 45 yuan), then 10 pieces will be sold less every week. Suppose the price of each piece increases by x yuan. (2) How to set the price to maximize weekly profit and increase weekly sales? What is the maximum profit per week?
24. (Question 10) In a square ABCD, point O is the midpoint of diagonal AC, p is the moving point on diagonal AC, and the passing point P is PF⊥DC on point F, as shown in figure 1. When point P coincides with point O, it is obvious that there is DF = CF. (/kloc-)
① verification: df = ef,
② Write an equivalent relationship among PC, PA and CE to prove your conclusion: (2) If point P is on the OC line (not coincident with points O and C), and PE⊥PB, PE and straight CD intersect at point E, please complete Figure 3 and judge whether conclusions ① and ② in (1) are valid respectively. If it is not established, write the corresponding conclusion (the written conclusion does not need to be proved).
08 Wuhan senior high school entrance examination 25. (This is entitled 12 points) As shown in figure 1, the parabola y=ax2-3ax+b passes through two points, A(- 1 0) and c (3,2), intersects with the Y axis at point D, and intersects with the X axis at another point B. (65438) (2 Take the intersection E( 1,-1) as the EF⊥x axis of point F, and rotate △AEF around a point in the plane by180 to obtain △ mnq (points M, N and Q correspond to points A, E and F respectively), so that,
Reference Answers of Mathematics Examination Questions in Wuhan City, Hubei Province in 2008
Multiple choice question:
CBAAC，BDADC，BB .
Fill in the blanks:
13.0.9; 14.； 15.28; 16.88.
Answer the question:
17.；
18.；
19. Omit
20.⑴500,20%, 12%; (2) ellipsis; ⑶ 1 1900;
2 1.⑴(0,- 1), ; ⑵ ; ⑶ ;
22.( 1) omitted; ⑵ ;
23.( 1) and is an integer; (2) When the price is 42 yuan, the weekly profit is the largest and the sales volume is large, and the maximum profit is 1560 yuan;
24.( 1) omitted; ②PC-PA = CE； (2) Conclusion ① is still valid; Conclusion ② is not valid, at this time, the quantitative relationship of the three line segments in ② is PA-PC = CE；;
25.⑴ ; ⑵ ; ⑶M(3，2)，N( 1，3)
Look at the resources below.