Full marks in seventh grade mathematics: 120 minutes: 100 minutes: _ _ _ _ _ _1. Multiple choice questions (2 points for each small question, 20 points) 1. The reciprocal of 1 is () A.- 1. The monomials are () a.1b.2c.3d.4.3. Light-year is a unit of distance in astronomy, and L light-year is about 9.5 billion kilometers. This data is expressed by scientific notation as () a.0.95×10/3 km b.9.5×10/2 km c.95×101kmd.99. Items that do not belong to the same category are () A.-2xy3 and 5xy3b.a2b and 5ab2c.2 and D.-xy2 and y2x5. In the formula, which of the following operation symbols is filled in, and the calculated value is the smallest () A.+B.-C. × D. ÷ 6. The following calculations are correct: () A. 3A+2B = 5abb. -22B+3A2 = A2B。 D.3x2-4x5 =-X37。 There is 12 m long wood. Then the area of the window frame is () a.x (6-x) m2b.x (12-x) m2c.x (6-3x) m2d.x (6-1.5x) m28. As shown in the figure, the moving point A on the axis moves 2 unit lengths to the left to reach the point B, and then moves to the right. Then the number represented by point A is () a.7b.3c.-3d. -29. According to the program shown in the figure, if the initial value of n is 2, the final output result is () a.2b.6c.2 1d.23 10. After the renovation of the Imperial Hotel, it is ready to be in the lobby. Its brief introduction is shown in the figure, then you need at least () A. 270 yuan B. 540 yuan C. 60 yuan D. Unable to calculate. 2. Fill in the blanks (3 points for each small question, 24 points) 1 1. In 2009, the morning temperature in Suzhou was 18℃, and it rose at noon. Then the night temperature in this city is _ _ _ _ _ _ _℃12. The difference between half the square of a and the square of b is expressed as _ _ _ _ _ _ _ _. 13. The coefficient of single item is _ _ _ _ _ _ _ _ _ _ _. No.: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Look at the following figures composed of small cubes with a side length of L, and look for the rules: Figure ① * * has 1 small cubes, including 1 small cubes. In Figure 2, * * * has 8 cubes, 7 of which are visible, 1 is invisible; * * * There are 27 cubes in Figure 3, of which 19 is visible and 8 are invisible ... Then in Figure 6, there are _ _ _ _ _ _ _ visible cubes and _ _ _ _ invisible cubes. (2) ; (3) ; (4) .20.(6 points) In class, Miss Wang gave us a question: When x =- 1, find the algebraic value. Xiao Ming looked at it: "It's too complicated, how to calculate it?" Can you help Xiaoming solve this problem? Please write down the specific process. 2 1.(6 points) The cubic sum of the polynomial x2-xy and another algebraic expression is 2x2+xy+3y2. Find this algebraic expression. 22.(6 points) The rules of a game are as follows: ① Each person takes 4 cards at a time. If the drawn cards have the same shape, then add the numbers on the cards; If the drawn cards look alike, subtract the numbers on the cards; ② Comparing the calculation results of four cards drawn by two people, the winner is the biggest. Xiao Ming draws four cards as shown in Figure ① and Xiao Li draws four cards as shown in Figure ②. Please point out the winner of this competition through calculation (specific calculation process is required). 23.(6 points) The postman starts from the post office by bike, travels 2 kilometers south to village A, 3 kilometers south to village B, 9 kilometers north to village C, and finally returns to the post office. (1) With the post office as the origin and the north direction as the positive direction, draw a number axis with l cm as 1 km, and draw points representing the positions of villages A, B and C on this number axis. (2) How far is Village C from Village A? (3) What is the distance traveled by the postman? 24.(6 points) During the Eleventh Golden Week, the number of tourists received by Xiangcheng's "Lotus Pond Moonlight" scenic spot during the seven-day holiday changed as follows (a positive number indicates that there are more people than the previous day, A negative number means fewer people than the previous day): Date 1, 2, 3, 4, 5, 6, 7, change of people/10,000 people+1.6-0.8+0.4+0.5-0.8+0.2-0.6 (654438 (2 Please judge that the day with the largest number of tourists is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 25.(6 points) Observe the figure below (the side length of each square is 1) and the corresponding equation to explore the law. (1) Write the fifth equation. And draw the corresponding figures on the five squares given below. (2) Guess and write the equation corresponding to the nth number. 26.(8 points) A school is going to organize some teachers to travel to Hangzhou, and now it has contacted two travel agencies, A and B, both of which offer 400 yuan/person, and both travel agencies have introduced group preferential measures for more than 10: Travel agency A will give each tourist a 15% discount; Travel agency B exempts 1 team leader teacher, and other teachers get a 20% discount. (1) If the teachers participating in the tour have X (X >; 10), the cost of a travel agency is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (3) If you plan to travel for five days in June+10, 5438, the date of the middle day is A, and the sum of these five days is _ _ _ _ _ (expressed and simplified by an algebraic expression with A). If the sum of these five days is a multiple of 30, when are they likely to leave? Please write a simple solution. 27.( 10) Yangcheng Lake is rich in aquaculture resources. Uncle Li, an aquaculture farmer, is going to engage in mixed culture of crabs and shrimps. He learned the following information: ① The annual rent per mu of water surface is 500 yuan, and the water surface needs to be rented by integer mu; ② At the beginning of the year, 4 kg of crab fry and 20 kg of shrimp fry can be mixed with each mu of water surface; (3) The price per kilogram of crab seedlings is 75 yuan, and its feeding cost is 525 yuan, and the income can be obtained in that year 1.400 yuan; ④ The price per kilogram of shrimp is 15 yuan, the feeding fee is 85 yuan, and the income in that year is 160 yuan. (65,438+0) If the surface is rented for n mu, the annual rent is _ _ _ _ _ _ _ _ _ _ _ (n is an integer). What is the annual profit? 28.( 10) Figure ① is a pattern shaped like a regular triangle and consists of several small circles. There is a circle on the top layer, and all the lower layers have one more circle than the previous layer, and a * * * pile of n layers. After the figure ① is reversed, it is combined with the original figure ① to form the shape of the figure ②. In this way, we can calculate the number of all circles in Figure 1. If the circle in Figure ③ and Figure ④ has 14 layers. (1) We fill in a series of continuous positive integers in each circle from top to bottom as shown in Figure ③, so the numbers in the bottom and left circles are _ _ _ _ _ _ _ _. As shown in Figure ④, fill in a series of consecutive integers -23, -22 in each circle. -2 1 ... Find the sum of the absolute values of all numbers in all circles in Figure ④. Refer to the answer 1, 1. a2 . D3 . B4 . b5 . C6 . C7 . D8 . d9 . c 10。 B2， 1 1. 12 12 . a2-b 2 13.5 14. 15。 (b-a)h 16.3 a2b-6ab 2 17。 19. (1) 33 (2)1(3)-1(4)-120. Simplified to 6x2-5. When x =- 1, the original formula = 65438. Xiaoli's calculation result is 23. (1) as shown in figure (2) 6km (3)18km24. (1) A+0.8 (2) 47 (3) slightly 25. (1) as shown in figure, (2) 26. Party A's expenses are 300× 17=5 100 yuan, and Party B's expenses are 320× 17-320 = 5 120 yuan, because it is 5 120 yuan > 5 100 yuan. (3)5A Let the middle day be a, then (a-2)+(a-1)+a+(a+1)+(a+2) = 5a, and the sum of the dates of five days is 5a, because then 5a=30 or 5a=60 or 5a=90 or 90. Get a = 6 or a= 12 or a= 18 or a = 24. So they may leave on the 4th or 10 or 16 or 22nd. N+20( 15+85)n+500n=4 900n (yuan), and the annual income of mixed culture of surface crabs and shrimps in N mu is1400× 4n+160× 20n = 8 800 n (yuan), then the surface crabs in N mu are. 1 mu of mixed culture of crabs and shrimps on the water surface costs 4 900 yuan per year, so Uncle Li Can rented 6 mu of the whole mu of water surface at most. When n=6, 3 900n=3 900×6=23 400 yuan, so Uncle Li Can can get 23 400 yuan 28 every year. ( 1) 92 (2) 3597.