Mathematics examination paper of the first middle school
The full score of the mid-term examination paper of the seventh grade mathematics in the last semester of the 2006-2007 school year is 120 minutes: 122324, and the total score is17181920265438. Student: After studying the new textbook for half a semester, you will find that mathematics has a great relationship with our life, and the content of mathematics is also very interesting. Please use the knowledge and methods you usually learn to complete the answer sheet. I believe you will succeed! Choose an option first to see who is careful (this big question is * * 12 small questions, with 3 points for each small question and 36 points for * * *, and only one of the four options given in each small question meets the requirements of the topic) 1 absolute value. Yes (). Article 2 (d)-Article 22. Wuhan Yangtze River Bridge is the first curved steel tower cable-stayed bridge in the world, with a total length of16800 m. In scientific notation, this number is (). (a)1.68×104m (b)16.8×103m (c) 0.168×104m (d). 1.68× 103m3。 If the income 15 yuan is recorded as+15 yuan, then the expenditure 20 yuan is recorded as () yuan. (a)+5 (b)+20 (c)-5 (d)-204。 Rational number. The number equal to 1 is (). 3 (B)4 (C)5 (D)6。 Given that p and q are reciprocal, and p≠0, the following relationship is correct (). (a) (b) (c) (d) 6。 The solution of equation 5-3x=8 is (). (a)x = 1(b)x =- 1(c)x =(d)x =-。 What is incorrect is (). (A)A+(B+C-D)= A+B+C-D(B)A-(B- C+D)= A-B+C-D(C)A-B-(C-D)= A-B-C-D(。 0(B)a-B & gt; 0(C)ab > 0(D)a+b & gt; 09. According to the requirements in brackets, it is approximately 1022.0099 by rounding. The error is (). (A) 1022.0 1 (accurate to 0.01) (b)1.0×103 (two significant figures are reserved) (C) 1020 (accurate to A number is -4 greater than its reciprocal. If this number is x, the equation about x can be listed as (). (a) X =-X+4 (b) X =-X+。 2 If, then; 3 If, then; (4) If, then, make sure the correct number is (). 1 (B)2 (C)3 (D)4 12。 It is known that the reciprocal, reciprocal, is equal to the square of -4, and the value of the formula is (). 2 (b) 4 (c)-8 (d) 8 2。 Fill in the blanks to see who is careful (this topic is entitled ***4 small questions, 3 points for each small question, * * 12 points, please write the answer in "_ _ _ _ _ _")13. Write an integer with a small ratio:. 14. It is known that the altitude of A is 300m and that of B is-50m, so A is _ _ _ _ _ _ _ higher than B. Current price: 160 yuan 15. During the National Day, an optical shop in Wujiashan launched an activity to give students preferential glasses. The advertisement of a pair of glasses is shown in the picture. Please compensate the original price of the billboard. 16. Xiao Fang designed a computer program with the following input and output data: input … 12345… output. The output data is. Third, solve a plan and try who is better (this big question is ***9 small questions, ***72 points) 17. (This is entitled 10) Calculate (1) (2) Solution: 18. (This is called 10) Solve the equation (1). (2) Solution: Solution: 19. A factory plans to produce 100 bicycles every week. Because workers rotate, the number of people who go to work every day is not necessarily equal. The comparison between the actual daily output and the planned quantity is shown in the following table (based on the planned quantity, the number of vehicles increased is positive and the number of vehicles decreased is negative): Monday, 23456, increase or decrease/vehicle-1+3-2+4+7-5-10 (1), and the day with the largest output is greater than. (3 points) (2) What is the total output this week? (3 points) Solution: 20. Statistics show that cities in China can be divided into three categories according to water resources: cities that are temporarily short of water, cities that are generally short of water and cities that are seriously short of water. Among them, the number of cities that are temporarily short of water is 52 times that of cities that are seriously short of water, and the number of cities that are generally short of water is twice that of cities that are seriously short of water. How many cities are there? Solution: 2 1 (9 points in this question) Look at a column of numbers: 1, 2, 4, 8, 16, ... We find that from the second item, the ratio of each item to its previous item is equal to 2. Generally, if the number of a column starts with the second item, each item is equal to 2. This constant is called the common ratio of geometric series. The fourth term of (1) geometric series 5,-15,45, … is _ _ _ _ _ _ _. (2 points) (2 points) If the number in a column is a geometric series, the common ratio is. , then there is: then: = (expressed by summation formula) (2 points) (3) The second term of a geometric series is 10, and the fourth term is 40. Find its common ratio. (5 points) Solution: The monthly call fee of China Bank is 0.40 yuan/minute for global calls and 0.60 yuan/minute for local calls. (Question 8 (5 points) (2) If someone expects to use the local call charges of 180 yuan within one month, which communication method should he choose? (3 points) Solution: 23. (This is called 10) The equation about X is opposite to the solution. (1) Find the value of m; (6 points) (2) Find the solutions of these two equations. (4 points) Solution: 24. (This is entitled 12 minute) As shown in the figure, point A moves from the origin to the left along the number axis, and point B also moves from the origin to the right along the number axis. After 3 seconds, the distance between two points is 15 unit lengths. It is known that the speed of point B is the speed of point A (4 points). Solution: (2) If point A and point B start from the position in (1) and still move to the left along the number axis at the same speed, in a few seconds, the origin will be right in the middle of point A and point B? (4 points) Solution: (3) If point A and point B start from the position in (1) and still move to the left along the number axis at the original speed, the other point C starts from the position of point B and moves to point A at the same time. When it meets point A, it immediately returns to point B, and then returns to point A immediately after meeting point B, and so on until point B catches up with point A (4 points). Solution: Reference answers and grading standards for the seventh grade mathematics midterm exam in the last semester of the 2006-2007 school year 1 Choose one. Who is more careful? 1.a2.c3.d4.b5.c6.b7.c8.a9.a10.b12.d2. Fill in, and see who is careful 13. -1 etc. 14.35015.20016. Let's try who is better. 17.( 1) solution: =-48+8-36 .................................................... 3 points =-76 ... 5 points (2) solution: = 1× 2+(-8). ÷ 4 ............................................................................................................................................. solution: 3 X+2x = 32-7 ........................... 5 minutes (2) Solution: 7-(-10) =17+100× 7 = 696 According to the meaning of the question: ... according to the meaning of the question 0) When the local call lasts for t minutes in a month, there are two kinds. According to the meaning of the question, 50+0.4t = 0.6t .......................................................................................................................... and then use global calling: 50+0.4. T =180 ∴ = 325 ... Use Shenzhouxing: 0.6t= 1 80 ∴ =300∴ The more economical .................................................................................................................... gets: x = 4, and the solution of the equation is x = 4 (1). The speed of point A is t unit length per second. Then the speed of point B is 4t unit length per second. According to the meaning of the question, 3t+3x4t = 1 5, t =1…………………… 2 minutes ∴ The speed of point A is1unit length per second. The speed of point B is 4 unit lengths per second, and Get 3+x = 12-4x. Therefore, the driving distance of point C is: 20×5= 100 (unit length) ...12 minutes.