1. Given that the square of a times the square of B plus the square of a plus the square of B plus 1 equals 4AB, find the value of ab 2. If the square of x plus the square of y plus 5 / 4 equals 2x plus y, find the value of (x + y) times XY
1. This is where we want to be 178; and we are going to be 178; B & \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(y + 1 / 4 = 0 (x-1) & 178; + (Y-1
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- 1. The scoring rules of football match are: 3 points for winning one game, 1 point for drawing one game, 0 point for losing one game, 13 games in one game ① The team won X Games, lost four and tied_____ Field ② Win x field, product____ Minutes, minus four fields, product____ Points, even_____ Field, product_____ Points ③ If the team wants to score 19 points in all the games, it should win_____ Field
- 2. solve equations: x-(2/7)x=(1/14) For a batch of candy, 2 / 5 of the total candy has been packed. For another 21 kg, 3 / 4 of the total candy has been packed. How many kg are there in total? 2. The graduating class charges for photography. The number of students who have not paid is 1 / 7 of those who have already paid. Later, there are 2 people who have paid. At this time, the number of students who have not paid is 1 / 11 of those who have already paid. How many students are there in this class? Note that there must be a process!
- 3. Help me with a math problem, 200 kilograms of oranges and apples are sold as a fruit platter at 2.7 yuan per kilogram. It is known that the weight ratio of oranges and apples is 3:2, and the unit price ratio is 5:6. What is the unit price of oranges and apples?
- 4. 1. First simplify, then evaluate [(3x + 4Y) ^ 2 - 3x (3x + 4Y)] / (- 6y), where x = - 1, y = 3
- 5. 1) (- 4 / 13) + (- 4 / 17) + 4 / 13 + (- 13 / 17) (2) (- 2) × 5 / 4 × (- 9 / 10) × (- 2 / 3) (3) - 2 / 7 - (- 1 / 2) + / - 1 / 12/ (4) / - 16 / × (- 3 / 4-1 / 2 + 3 / 8)
- 6. Since April 1, 2009, China Railway has implemented a new train diagram. According to the new diagram, the biggest adjustment is made for passenger trains, and the running speed of some of them will be greatly shortened. It is estimated that the one-way direct running time of a high-speed train between city a and city B will be half an hour. During a test run, the running time of the test train from city a to city B will be shortened It takes 6 minutes more than the expected time, and the driving time from city B to city a is the same as the expected time. If the average driving time from city B to city a is 40 kilometers more than that from city B, what is the average speed from city a to city B?
- 7. Given - 1 < B < 0,0 < a < 1, then in the algebraic formula A-B, a + B, a + B & # 178;, a & # 178; + B, for any a and B, the maximum value of the corresponding algebraic formula is () (A)a+b (B)a-b (C)a+b² (D)a²+b
- 8. It is known that α, β and γ are rational numbers and α + β + γ = 0, then α & sup2; + β & sup2; + γ & sup2; - β γ ‐ γ α ‐ α β = ()
- 9. A math problem, junior high school, urgent solution The green space area of a city in 2010 is 60 hectares. In order to meet the needs of urban development, it is planned to reach 72.6 hectares by the end of 2012? A simple process description is required
- 10. Please help me solve a math problem in junior high school, The teacher wrote three formulas on the blackboard: the square of 5-3 = 8 * 2; the square of 9-7 = 8 * 4; the square of 15-13 = 8 * 7. Wang Hua then wrote two formulas with the same rule: the square of 11-5 = 8 * 12, and the square of 15-7 = 8 * 22. Q: let m and n be integers. Please use the formula containing m and N to reflect the above rule
- 11. 1. A bookshelf has two layers. If 60 books are borrowed from the upper layer, the books on the upper layer are 20% more than those on the lower layer. It is known that there are 240 original books on the upper layer, but how many books are there on the lower layer? 2. The perimeter of a round desktop is 4.71 meters. A glass plate of the same size as the desktop should be placed on the desktop. What's the area of this glass plate? (the number should be kept to one decimal place)
- 12. We know that the ages of two children are respectively x years and y years, and the square of X + xy = 99 2. Someone wants to run a pig farm, which is divided into two square pig farms, the Jianzi pig farm and the piglet farm. It is known that the area of the Jianzi pig farm is 40 square meters larger than that of the piglet farm, and the total length of the wall of the two pig farms is 80 m, so the area of the piglet farm is calculated (there is no public wall in the two farms)
- 13. 1. Square of X (A-1) + 4 (1-A) 2. (one square of 1-2) x (one square of 1-3) x.x (one square of 1-9) x (one square of 1-10) All the above questions are factorized. The first question is only factorized, and the second one is factorized,
- 14. 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
- 15. 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
- 16. The maximum and minimum of y = sin 2x + 2sinx + 3 (x belongs to R)
- 17. 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?
- 18. 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
- 19. 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?
- 20. 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!