1. Of the four numbers -3,-1, 0,2, what is the smallest number?
A.﹣3B.﹣ 1C.0D.2
2. The following survey methods are appropriate.
A. In order to know the service life of a batch of TV sets, a general survey is adopted.
B. In order to know the eyesight status of middle school students in China, a general survey was adopted.
C the inspection of Chang' e-3 satellite parts is conducted by sampling survey.
In order to understand people's awareness of protecting water resources, a sampling survey was adopted.
3. The figure on the right shows the top view of the geometry composed of the same small cubes, and the numbers in the small squares indicate the number of small cubes in this position, so the front view of the geometry is as follows
There are 60 students in a class, and the monitor draws a fan-shaped statistical chart of the students' weekend travel intentions, in which the fan-shaped central angle of "the number of students who want to ski in Jinfo Mountain, Chongqing" is 600, so the following statement is correct.
A: Some students 12 want to go skiing in Jinfo Mountain, Chongqing.
B: There must be the most students who want to go skiing in Jinfo Mountain in Chongqing.
C. Students who want to go skiing in Jinfo Mountain in Chongqing account for the whole class.
D. Students who want to go skiing in Jinfo Mountain in Chongqing account for 60% of the class.
5. The following calculation is correct
A.x2+x2=x4B.x3？ x？ x4=x7C.a4？ a4=a 16D。 Answer? a2=a3
6. The following judgment is wrong
A. The polynomial 5x2-2x+4 is a quadratic trinomial.
The coefficient of b is-1, and the degree is 9.
C formulas m+5, ab, x= 1, -2 are all algebraic expressions.
D When k=3, there is no quadratic term in the algebraic expression (-3kxy+3y)+(9xy-8x+ 1) about x and y.
7. Xiaoming bought a two-year wealth management product in a bank with an annual yield of 4.5%. The bank told Xiaoming that he could get interest of 288 yuan this Spring Festival, so Xiaoming's Spring Festival lucky money the year before last was
A.6400 yuan B.3200 yuan C.2560 yuan D. 1600 yuan
8. As shown in the figure, it is known that A and B are two points on the line segment EF, EA: AB: BF = 1: 2: 3,
M and n are the midpoint of EA and BF, respectively, and MN=8cm, then EF is long.
a . 9 CMB . 10 CMC . 1 1 cmd . 12cm
9. If the equation about X has no solution, then
a . k =- 1b . k = LC . k≦- 1d . k≠ 1
10. The biological research team studied three kinds of microorganisms (members of the research team) attached to the surface of objects.
Observe and record their growth with the numbers 1, 2, 3) respectively. These three kinds of microorganisms
Things split into two parts on the first day, producing new microorganisms (numbered 4, 5, 6,
7, 8, 9), and then change every day according to this law, that is, each microorganism is divided into two parts.
Second, the formation of new microorganisms (the members of the research group record images with graphs as shown in the figure),
Then the microorganism numbered 1000 will appear in
A. Day 7 B. Day 8
C. Day 9 10
Fill-in-the-blank question: (There are 15 small questions in this big question, with 2 points for each small question and * * 30 points) Please fill in the answers of each small question on the corresponding lines of the answer sheet.
1 1. If, then m =.
12. If the sum of monomials is similar, then m+n =.
13. If it is a linear equation about y, then m =.
14. When Chang 'e III just entered orbit, its speed was about 7 100 meters per second, and the number 7 100 was expressed by scientific notation.
15.25. 14 = ′″.
16. At 1: 20 pm, the angle between the hour hand and the minute hand is degrees.
17. If x= 1 is the solution of equation A (x-2) = A+2x, then A =.
18. Given that A and B satisfy, then (ab3) 2 =.
19. If known, the value of is.
20. The positions of rational numbers A and B on the number axis are shown in the figure, so | A-B |-2 | A-C |-B+C | =.
2 1. As shown in the figure, ∠ AOD = 90, ∠ AOB: ∠BOC = 1: 3, and OD divides ∠BOC equally, then ∠AOC= degrees.
22. The inner diameter of the cylindrical container is 3cm, the height of the inner wall is 30cm, and the container contains water with a height of 65,438+08cm. Now put a metal cylinder with a bottom radius of 2 cm and a height of 15cm vertically into the container, and the water in the container will increase by cm.
23. It is known that A, B, M and N are on the same straight line, point M is the midpoint of AB, NA=8, NB=6, then line segment Mn =.
24. The following statement: ① Two points determine a straight line; ② The straight line between two points is the shortest; ③ If x=y, then; ④ If | a | =-a,
Then a < 0；; ⑤ If a and b are opposite numbers, then the quotient of a and b must be equal to-1. The correct thing is. (Please fill in the serial number)
It is known that AB is a narrow road with a width of only 3 meters. A car and a big truck meet at AB, and they have to reverse to pass.
If it takes 10 minutes for a car to drive normally on the AB section and 20 minutes for a truck to drive normally on the AB section, then the reversing speed of the car on the AB section is its normal driving speed, and the reversing distance of the car is four times that of the truck, so the shortest time for two cars to pass through this narrow section AB is minutes.
Third, the calculation question: (This big question has 5 small questions, with 4 points for each small question and ***20 points)
26. Calculation: (1)(2)
27. Solve the equation: (1)(2)
28. Simplify first, then evaluate:, where.
Answer: (There are 5 small questions in this big question, with 6 points for each small question and 30 points for * * *)
29. The seventh-grade students of a school held a garden activity on New Year's Day, which included three major projects: Chinese World, Interesting Mathematics and English World. Interesting mathematics includes puzzles, quick calculations, Rubik's cube reduction, brain teasers and other small projects, and each student can only participate in one project. Xiao Wang made a survey of students' participation in interesting mathematics projects, made the following fan-shaped statistical chart, and made the following bar-shaped statistical chart according to the scores of students who participated in the Rubik's Cube reduction.
(1) The total number of participants in interesting mathematics is _ _ _ _ _ _;
(2) The percentage of people participating in "Rubik's Cube Reduction" to the total number of people participating in interesting mathematics is _ _ _ _%;
(3) Complete the bar chart.
30. Solve the application problem of column equation:
Xinxin Taobao Store, which sells clothes, mainly launched a new coat this winter, with a price tag of 1000 yuan, which is usually 10% off. Merchants seized the business opportunity and advertised on Taobao's homepage in advance that "this coat will be sold in 30 yuan after 6.5% discount on the same day1/kloc-0". So this coat was sold on the same day as Shuang 165438.
3 1. As shown in the figure, ∠AOB is a straight angle, ray OD is equally divided ∠AOC, ray OE is equally divided ∠BOD, ∠BOC=4∠AOD,
Find the degree of ∠COE.
32. The column equation to solve the application problem:
The first two-thirds of the road from A to B is expressway, and the last one-third is ordinary highway. The junction of expressway and ordinary highway is C, and the speed of a car on expressway and ordinary highway is 80 km/h; When the speed of car B is 100 km/h on the highway and 70 km/h on the ordinary highway, two cars A and B start from two places at the same time, heading in opposite directions, and meet at a distance of 40 km on the highway. What is the distance between them?
33. The column equation to solve the application problem:
In recent years, the new rural cooperative medical system has been fully implemented in our city, and farmers have responded positively. The cooperative medical system has alleviated the problems of expensive and difficult medical treatment for many farmers. Farmers who participate in medical insurance can seek medical treatment in the prescribed hospitals and reimburse some medical expenses according to the prescribed standards. The following table ① is the reimbursement standard for medical expenses by stages; Table 2 below shows the actual medical expenses and total personal expenses of farmers A, B and C this year.
Scope of medical expenses Outpatient expenses and hospitalization expenses (RMB) Outpatient expenses and hospitalization expenses shall be borne by individuals.
0~5000
5000~20000 parts
Part A exceeding 20,000 260 yuan 0 yuan 182 yuan.
B 80 yuan, 2800 yuan, b yuan.
The reimbursement ratio is a%40%50%c% C 400 yuan 25,000 yuan 1 1780 yuan.
Table ① Table ②
Note: ① Personal medical expenses = actual medical expenses-the amount reimbursed according to the standard;
The total annual expenses borne by individuals include outpatient expenses and hospitalization expenses.
Please answer the following questions based on the above information:
(1) Fill in the blanks: A = _ _ _ _ _, B = _ _ _ _ _, C = _ _ _ _ _ _ _.
(2) Uncle Li's actual hospitalization expenses last year and this year totaled 52,000 yuan, and he paid 65,438 yuan+08,300 yuan himself. It is understood that this year's hospitalization expenses exceeded.
In the past year, how much hospitalization did Uncle Li spend this year?