If two numbers m and N are specified, 4Mn is obtained by a new operation * such as 2 * 6 = 4x2x6 = 48 No matter what the value of X is, there is always a * x = x to find the value of A To have a specific process, step by step out. Just like solving equations! Why is there a 4ax-x = 0 step? =Where did 0 come from

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• 1. Observe the following column of numbers: 1, - 1 / 2,1 / 4, - 1 / 8,1 / 16,... Where there are two adjacent numbers. The difference between the number on the left and the number on the right is - 3 / 64. Find out these two numbers
• 2. There is an electronic clock on the clock tower of a railway station. On the boundary of the clock face, there is a small colored light at the scale of every minute. At 9:35:20 PM, how many small colored lights are there in the angle α between the hour hand and the minute hand? Have a detailed formula process and ideas, I don't want that kind of long row of text description. Use formula to write out. Finally, with the idea of solving the problem
• 3. Please master quickly give an answer, this afternoon will be handed in 1. Given the absolute value of the rational numbers a, B, C (4-A) ^ 2 + (4b-1) ^ 2 + C + 1 = 0, try to find the value of a ^ 3N + 1 × B ^ 3N + 2-C ^ 4N + 2 2. In the product of x ^ 2 + PX + 8 and x ^ 2-3x + Q, there is no x ^ 3 and X term 3. Given x + y = 1, xy = 1 / 5, find (x ^ 2 + 1) (y ^ 2 + 1) 4. Given a ^ 2-3a + 1 = 0. Find the values of a + a 1 / 2, a ^ 2 + A ^ 2 / 1 and (A-A 1 / 2) ^ 2
• 4. Observe the table of points, if a team wins m games, find the relationship between the total points and the number of wins Team name, match, score Bayi Shuanglu 22 18 4 40 Beijing.. 22 14 8 36 Guangdong 22 12 10 34 Avant Garde Jiangsu.. 22 10 12 32 Zhejiang, 22 7 15 29 Double star.. 22 6 16 28 Card clothing A city's mobile communication company has set up two kinds of services: the user of "global link" first pays 50 yuan of monthly basic fee, and then pays 0.2 yuan of telephone fee for each minute of the call; the user of "Shenzhouxing" does not pay the monthly basic fee, and pays 0.4 yuan of telephone fee for each minute of the call (both referring to the city telephone). If you talk for X minutes in a month, the cost of the two methods is Y1 yuan and Y2 yuan respectively. (1) Write the relation between Y1, Y2 and X (that is, the equation) (2) How many minutes to talk in a month, and the cost of the two methods is the same? (3) If someone expects to spend 120 yuan in a month, which call mode should he choose?
• 5. In the first quarter, the profit of clothing was a yuan, and that of household appliances was more than 40000 yuan. In the second quarter, the profit of clothing decreased by 15%, while that of household appliances increased by 30%. In the second quarter, compared with the first quarter, the total profit of household appliances increased or decreased? How many yuan did it increase or decrease
• 6. 7.8.9.10 whether the four numbers are addition, subtraction, multiplication and division, as long as the number is 24
• 7. 1. Solve the equation: 2x-1 = - x + 5, shift term, get 2x-x = 5-1, then x = 4, the error is -------- cause -------- positive solution———————— 2. Solving equation: x-4 = 7, x-4 = 7 = 4 + 7 = x = 11—————————— 3. Solving the equation （1）8x-1＝7x＋24 （2）5-3y＝-7-4y （3）4（x-1）＝3（x-1)＋1 （4）30＋（80-a）＝1.5（20＋a) (5)3x-[3(x＋1）-（x＋4）]＝1 （6）（1-21%）x-（1＋21%）x＝25% （7）3（2x-1）＋5（1-2x)＋2x＋4＝0
• 8. There are 200 workers in a weaving factory. In order to improve the operation, a clothing project is added. It is known that each worker can weave 30 meters of cloth every day, or make 4 pieces of cloth from the cloth he weaves. One piece of cloth is 1.5 meters. If the cloth is sold directly, the profit will be 2 yuan per meter of cloth. If the cloth is sold after being made into clothes, the profit will be 25 yuan per piece. If each worker can only do one job a day, and other factors are not taken into account, X worker system is set up Then: (1) the profit of making clothes in one day is p = 0___ (2) the profit from the sale of surplus cloth in a day is q =___ (3) when 166 workers are assigned to make clothes, what is the total profit w (yuan)? Can 167 workers be arranged to make clothes to increase profits? Try to explain the reason
• 9. A document needs to be printed. It takes Xiao Li 6 hours to do it independently and Xiao Wang 8 hours to do it independently. If they do it together, how long will it take?
• 10. English Chinese translation English Chinese translation English Chinese Translation Swimming is good for my lungs Swimming _____ ______ _______ my lungs. There will be a sports meeting next Saturday There is going to _____ a _____ ______ next Saturday I will take part in the high jump I am going to _____ ______ ______ the high jump I plan to play tennis the day after tomorrow I plan to play tennis _____ ______ ______ ______
• 11. How to write the English words of seventeen
• 12. Do you know how to read this word
• 13. English translation appear very large or occupy a commanding position Can you tell which word is the explanation? The word Hulk, roar
• 14. How about you? English translation, two words
• 15. English translation What do you say about "a segment" of the movie? One begins with C and one begins with E
• 16. There are three natural numbers a, B, C, which are 6 / A, 5 / C, 5 / A, 5 / B in descending order () There are three non-zero natural numbers a, B, C, C > b > A. arrange 6 / A, 5 / C, 5 / A, 5 / B in the order from big to small ()
• 17. A. B and C are natural numbers. A △ B = 5, B △ C = 4. What is the least common multiple of ABC?
• 18. ABC are all non-zero natural numbers. A is less than B is less than C. please put the three numbers in the order of big to small
• 19. ABC three different natural numbers, and satisfy 1 / A + 1 / B + 1 / C = 5 / 6 To list
• 20. Group A: 1, 6, 7, 12, 13, 18, 19 Group B: 2, 5, 8, 11, 14, 17, 20 Group C: 3, 4, 9, 10, 15, 16, 21 Then (1) in group B, there were two groups______ (2) the 600th number in group A is______ (3) 1000 is______ The third in the group______ The number of them