Math test for senior one: fill in the blanks (2 points × 15 points = 30 points) 1, polynomial -abx2+x3-AB+3, the coefficient of the first item is, and the degree is. 2. Calculation: ①100×103×104 =; ②-2a3b4÷ 12a3b2 = .3, (8xy2-6x2y)÷(-2x)= .4, (-3x-4y) () = 9x2-16y2.5. It is known that the side length of a square is a. 6. If x+y = 6 and xy = 7, then x2+y2 =. 7. According to some data, the forest called "the lung of the earth" is disappearing from the earth at the rate of 65,438+0,500,000 hectares per year, and the area of forest disappearing every year is expressed as _ _ _ _ _ _ _ _ hectares by scientific notation. 8. The radius of the sun is 6.96× 104 km, accurate to _ _ _ _ _ _ _ _ _ _ _ _ _ _ _. 9. Xiao Ming marks six numbers (1, 2, 3, 4, 5, 6) on the six faces of a small cube, and throws the small cube at will, then P (the number thrown is less than 7) = _ _ _ _ _. 10 and figure (1), when the cut ∠AOB increases 15, ∠COD increases. 1 1, when the straw sucks the beverage in the can, as shown in Figure (2), ∠ 1 = 10, then ∠ 2 = 0 (the upper and lower surfaces of the can are parallel to each other) Figure (65438+))/kl. Then the value of a is () (a) 3 (BA) 3 (bThe area of the blank part is () (a) AB-BC+AC-C2 (b) AB-BC-AC+C2 (c) AB-AC-BC (d) AB-AC-BC-C21. 0 =-1②-x2.x3 = x532× 2-2 = ④ (m3 c) 3 = M6 ⑤ (-a2) m = (-AMB) 2 Yes ... Yes ... So ∠3 equals () (a) 60 (b)/. The following statements are correct: () (1) You will definitely win the prize; (b) You will definitely not get the prize; (3) It is highly likely to win the prize; (d) The probability of winning the prize is small; 3. Problem solving: (Write down the necessary calculus process and reasoning process); (1) calculation: (5 points× 3 =15 points)19,65438. -124× 122 (calculated by algebraic expression multiplication formula) 20,9 (x+2) (x-2)-(3x-2) 221,0.1251. How many drops does this pesticide need to kill harmful bacteria in this 2 liters of liquid? If 10 drop of this pesticide is one liter, ask: How many liters of pesticide should be used? (6 points) 24. The complementary angle of an angle is 18 degrees, which is more than twice its complementary angle. What's the angle? (5 points) 2007 seventh grade mathematics mid-term examination paper (full score 100, completion time 90 minutes) Name: grade: 1. Fill in the blanks (there are 15 questions in this big question * *, with 2 points for each question, out of 30 points) 1, as shown in the figure: A. 2 on the number axis. It is correct to round 3. 14 15926 to one thousandth. If 302400 is expressed by scientific notation, it should be recorded as approximately 3.0× accurate to one decimal place. 3. It is known that the circumference of a circle is 50, and the radius of the circle is expressed by an algebraic expression containing π, which should be. 4. Each pencil is worth 1000000 yuan. After Xiao Ming bought n pencils with10 yuan, there was still RMB left. 5. When a =-2, the value of algebraic expression is equal to. 6. The algebraic expression 2x3Y2+3x2Y- 1 is a second-order term. 7. If 4amb2 and abn are similar terms, then m+n=. 8. Polynomials 3x3y- xy3+x2y2+y4+Y4 are arranged in ascending order by the letter X.9.. If it is ∣x-2∣= 1, then it is ∣x- 1∣=. 10, calculated as: (a-1)-(3a2-2a+/. 1 1. Calculate with a calculator (keep 3 significant figures): =. 12, Blackjack Game: Use the following numbers to score 24 points (each number can only be used once). 2, 6, 7, 8. Formula. 13, calculation: (-2a)3 =. 14, calculation: (x2+x- 1) (-2x) =. 15. Observe the rule and calculate: (2+1) (22+1) (24+1) (28+1) =. (you can't use a calculator, and the result is in the form of a power. Second, choose (this big question * * * has 4 questions, each with 2 points. Out of 8) 16. The following statement is correct: ................................................................................................ ((a) 2 is not algebraic; (b) is a monomial; (c) The coefficient of the first term is 1 (d). The following similar items are correct: () (a) 2a+3a = 5 (b) 2a-3a =-a (c) 2a+3b = 5ab (d) 3a-2b = ab 1 8, and the following group numbers are arranged according to the law:1. The number 2002 should be () A, B,-1 C, D. The answer above is not 19. If we know that A and B are reciprocal, and X and Y are reciprocal, then the value of algebraic formula |a+b|-2xy is () A.0b.-2 C.-65xy. Out of 24 points) 20 points. Calculation: x+ +5 2 1. Evaluation: (x+2) (x-2) (x2+4)-(x2-2) 2, where x =-22 and a is the smallest positive integer, try to find the value of the following algebraic expression: (4 points for each small question. (3) By (1), (2) What did you find or think of? 23. It is known that: a = 2x2-x+ 1, a-2b = x- 1, and find B. Fourth, the application problem (this big problem * * * has 5 questions, with 7 points for each question on 24th and 25th, and 8 points for each question on 26th, 27th and 28th, with full marks. The side length of square DEFG is a: (1) the area of trapezoidal ADGF (2) the area of triangular AEF (3) the area of triangular AFC 25. Known (as shown in the figure): Make a square with four right-angled triangles with base B, height C and hypotenuse C, and find the area of the small square in the center of the figure. You can easily find a solution (1). Area of small square = Solution (2). From the solution of (1) and (2), we can get the relationship between A, B and C: 26. It is known that the taxi charging standard in our city is: all taxis with a mileage of less than five kilometers will be charged in 5 yuan; If the mileage exceeds 5 kilometers, the excess will be charged per kilometer 1.2 yuan except 5 yuan. (65,438+0) If someone drives X kilometers (x>5) by taxi, how much should he pay? (Algebraic) (4 points) (2) A tourist takes a taxi from Xinghua to Shagou and pays the fare of 4 1 yuan. Try to estimate how many kilometers it is from Xinghua to Shagou. (4 points) 27. Members of the first team and the second team engage in party activities. There are m people in the first team, and the second team has 2 more people than the first team. If each member of two teams gives a gift to each member of the other team. Q: (1) The total number of gifts given by all players. (expressed by the algebraic expression of m) (2) When m= 10, how many gifts are given? 28. The price of a commodity in 1998 is 5% higher than that in 1997, while the price in 1999 is higher than that in 1998, and the price in 2000 was lower than that in 1999. So, in 2000, compared with 1997, was it price increase or price decrease? What is the percentage of price increase or decrease? In 2006, the answers to the mathematics examination paper in the first semester of junior high school 1, 1, 2, 10-Mn 3, -54,-1, 2 5, 5, 36, 3 7, 3x3y+x2y2-xy3+y44. -a6 1 1, -x 865448B 18, B 19, D3, 20, the original formula = x++5 (1') = x++5 (/kloc-0). The original formula = (x2-4) (x2+4)-(x4-4x2+4) (1') = x4-16-x4+4x2-4 (1') = 4x2-20 (/kloc-). = 3 (x2-2x)-5 (2') (or 3x2-6x = 6 from x2-2x = 2) = 3x2-5 (1') =1(1') 23. Solution: A-2b. 2b = 2 x2-x+ 1-(x- 1)( 1’)2b = 2 x2-x+ 1-x+ 1( 1’)2b = 2 x2-2x+。 (2) (2') (3)+-= (3') 25. Solution: (1) C2 = C2-2ab (3') (2) (b-a) 2 or B2-2ab+A2(3')(3)C2. Solution: (25) 2 = A2 (1') A = 32 (1') 210 = 22b (1') B = 5 (1') Original formula = (A) (1') = A2-B2-A2-AB-B2 (1') =-AB-B2 (1') When a = 32 and b = 5, the value of the original formula =-× 32× 5 -× 52 = 27. Solution (1): The first team gave the second team ***(m+2) m (2'), and the second team gave the first team ***m (m+2) (2'). Two teams * * * displayed 2m (m+2) works (2'). Suppose that the commodity price of 1997 is X yuan (1'), that of 1998 is (1+5%), and that of 1999 is (1+). +0+5%) (1+10%) (1-kloc-0/2%) x yuan = 1.0 164x yuan (2') = 0.0/.