1.x²-4 2-x x （ ——— + ———） ÷ ——— x²-4x+4 x+2 x-2 2.3b² 3 (-) & sup2; multiply (- - A - & sup2; b) & sup3; 4a³ 2 b a b a 3. If 3a-2b = 0, then (1 + -) / (1 - -) a a-b a a+b

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• 1. There is a beverage can made of iron sheet. The bottom is 6cm in diameter and 10cm in height (1) What is the minimum area of wrapping paper needed to cover the side of a beverage can with a circle of wrapping paper? (2) How many square centimeter iron sheets does it take to make such a beverage can (3) How many milliliters of drinks can this can hold at most
• 2. 1. Party A, Party B and Party C contract a project, Party A and Party B work together to complete one third of the project in five days, then Party B and Party C work together to complete the remaining one fourth in two days, and finally Party A and Party C work together for five days to complete the project? 2. There are two kinds of potatoes, big and small. The unit price ratio of big potatoes and small potatoes is 5:4, and the mass ratio is 2:3. Mix the two kinds of potatoes together to form a 100 kg mixed potato. The unit price is 4.4 yuan per kg. How much is the original unit price of the two kinds of potatoes? 3. To assemble bicycles, 3 workers assemble 10 frames in 2 hours and 4 workers assemble 21 wheels in 3 hours. There are 244 workers now. In order to assemble the frame and wheels into a complete vehicle and leave the factory, how to arrange these 244 workers most reasonably?
• 3. The function y = f (x) is a decreasing function on (- 1,1), and it is an odd function, satisfying that f (A's square-a-1) + F (A-2) > 0
• 4. 2x-1 / 2 [X-1 / 2 (x-1)] = 2 / 3 (x-1) 1.2 (1.8-8x) - 2 (1.3-3x) = 0.3 (5x-0.4) 1 × 2 x = 2 × 3 x +... + 2007 × 2008 x = 2007 It's better to have a process, good chase 30 points!
• 5. A square 2A + 1 = the square of 0 2A - 4A =? The value of x = 2 ax cube + BX + 1 is 8. What is the value of x = - 2 ax square + BX + 1?
• 6. The maximum value of function f (x) = x (1-x ^ 2) on [0,1] is? The maximum value of function y = X-2 √ X in [0,4] is? The following four propositions are given ① The function y = x ^ 2-5x + 4 (- 1 ≤ x ≤ 1) has a maximum value of 10 and a minimum value of - 9 / 4 ② The function y = 2x ^ 2-4x + 1 (2 < x < 4) has a maximum value of 17 and a minimum value of 1 ③ The maximum value of function y = x ^ 3-12x (- 3 ≤ x ≤ 3) is 16, and the minimum value is - 16 ④ The function y = x ^ 3-12x (- 2 < x < 2) has no maximum or minimum
• 7. 1. There are 78 cypress trees, 3 / 5 less than pine trees. How many pine trees? 2. Cypress is 78 less than pine, cypress is 3 / 5 less than pine? 3. Cypress is 78 less than pine, cypress is 3 / 5 of pine. How many pine?
• 8. The maximum and minimum of y = sin 2x + 2sinx + 3 (x belongs to R)
• 9. 1. The positive integer solution of inequality 3 [3 + 1] ≥ 5x-3 is {} 2. Factorization 〔1〕-4a^2x+12ax-9x 〔2〕(2x+y)^2-(x+2y)^2
• 10. A piece of paper with a thickness of 0.1 mm is folded in half for 5 times. What is its thickness at this time? Assuming that continuous folding is always possible, then how many times after folding. The thickness can exceed your height? Please see clearly It is assumed that continuous folding is always possible It's a hypothesis. And please make a formula, 65 meters
• 11. 1、1/2x²-2xy+2y² 2、8（a²+1）-16a 3、4b²c²-（c²+b²）² Decompose the above factor.
• 12. There are four points a, B, C and D on the rectangular coordinate plane, where a (2,0), B (3,4) and C (6,5). If the quadrilateral a, B, C and D constitute a parallelogram, calculate the coordinate of point D
• 13. Just tonight -How to express scientific notation in 0.000112 How to express scientific notation with 0.000000054 2006.7 X 10-5 The little-5 is in the upper right corner of 10 How to convert to original number
• 14. 1. Party A and Party B set out from two places AB and walked towards each other. When they met, Party A walked 12.5 kilometers more than Party B. It is known that one third of the distance traveled by Party A is equal to three fourths of the distance traveled by Party B. how many kilometers are there between two places AB? 2. A project is completed in 20 days by Party A alone, and has been completed in 30 days by Party A alone. Now party a cooperates with Party A. on the way, Party A has rested for 3 days, and has rested for several days. From the beginning to the completion, it has been 16 days, and how many days have He rested? 3. There are two warehouses A and B, and the grain stored in warehouse a accounts for 40% of the total grain stored in the two warehouses. If 60 tons of stored grain have been transported to warehouse A, the ratio of stored grain in warehouse A and B is 2:1. How many tons of grain have been stored in warehouse A and B? Write every step,
• 15. a-12=0 (a+b-3)^2=0 a= b= At ten o'clock, the angle between the hour hand and the minute hand is () ° If a + b > 0 AB is known, the symbols of a and B are A is 15 years older than B. five years ago, a was twice as old as B. B is now 15 years old If each inner angle of a convex polygon is 140 degrees, then there are several diagonals starting from a vertex of the polygon
• 16. 1. A certain automobile transportation company transports a batch of goods. If each vehicle transports 3 tons more, 50 vehicles can transport it completely. If each vehicle transports 1 ton less, 60 vehicles can transport it completely. Under normal circumstances, how many tons of goods can each vehicle transport? 2. Two trains are running in the same direction on parallel tracks, and the front of car a is at the rear of car B. car a travels 1100 meters per minute and car B 800 meters per minute. The body of car a is 120 meters shorter than that of car B. It takes two minutes for car a to catch up with car B and completely surpass car B? 3. In order to beautify the class environment, the class life committee member went to sell the flowers of Grade A, B and C for 39 yuan. The flowers of Grade A, B and C were 4 yuan, 5 yuan and 6 yuan respectively. The life members bought 8 pots of flowers and just ran out of money. How many pots did they sell? 4. If we add natural numbers a and B to the numerator and denominator of the fraction 28 / 43, the result is 7 / 12, then what is a + B equal to?
• 17. 1. Given x + y = - 4, xy = - 12, then (x + 1 of Y + 1) + (y + 1 of X + 1) = (write the answer only) 2. The fraction (X-Y of XY) + (X-Y of XY + x) can be reduced to () A. X of Y B. X / XY C. Square x D.x-2y (write the answer only) 3. It is known that [(x-1) (X-2)] (3x-4) = (a of x-1) + (B of X + 1)), and the integers a and B are obtained 4. The ratio of the number of delivery personnel to the number of sales personnel in the home appliance Department of a large shopping mall is 1:8. Due to the obvious increase of home appliance sales this summer, the manager of the home appliance department dispatched 22 people from the sales personnel to deliver the goods. As a result, the ratio of the number of delivery personnel to the number of sales personnel is 2:5?
• 18. There are four congruent right triangles, whose right sides are a and B respectively, and the hypotenuse is C. they can be used to form a graph that can verify the Pythagorean theorem. Please draw a graph and use it to verify the Pythagorean theorem
• 19. It's urgent for you to come to the meeting In the triangle ABC, D is a point on the side of BC, if AB = 10, BD = 6, ad = 8, AC = 17 Judge whether the triangle ABC is a right triangle Finding the area of triangle ABC In the triangle ABC, the angle ACB = 90 degrees, BC = 3, AC = 4, CD is perpendicular to AB, and the perpendicular foot is d If the lengths a, B and C of triangle ABC satisfy a + B + C + 200 = 12a + 16b + 20c, try to judge the shape of triangle ABC
• 20. 1: 20 fill in the blanks 2：