Given that x, y, Z are positive numbers and X + 2Y + 3Z = 2, then s = 1 / x + 2 / y + 3 / Z is the minimum

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• 1. Given x + 2Y + 3x = 12, find the minimum value of x ^ 2 + 2Y ^ 2 + 3Z ^ 2
• 2. Given x + 2Y + 3Z = 12, find the minimum value of x ^ 2 + 2Y ^ 2 + 3Z ^ 2
• 3. If a, B, C, x, y, Z, > 0, X * 2 + y * 2 + Z * 2 = 1, find the minimum value of F (x, y, z) = A / x + B / y + C / Z
• 4. x. Y and Z are all positive numbers, and XYZ = 1. Prove that: (1 + X + y) (1 + y + Z) (1 + Z + Z) ≥ 27 Sorry, the letter is wrong, please verify: (1 + X + y) (1 + y + Z) (1 + Z + x) ≥ 27.
• 5. Given a (- 1, - 1), B (1,3), C (2,5), prove A.B.C three points collinear Fainting, forgetting that the line segment is obtained by subtracting
• 6. What is a six digit number with three fives and three zeros?
• 7. A and B two cars from AB two places to each other, 60 kilometers away from a first meet, each arrived at the other party's starting point, immediately return on the way and 40 kilometers away from a meet How many kilometers are ab apart
• 8. Points a and B represent real numbers a and B respectively on the number axis. The distance between two points of a and B is expressed as ∣ ab ∣. Then | ab | = | b-a| (1) If two points a and B on the number axis represent real numbers x and - √ 2 respectively, and ab = 3, find the value of X (2) If the three points P, a and B on the number axis represent real numbers x, - 2 and √ 3 respectively, the value range of X is obtained when the algebraic formula | x + √ 2 | + | X - √ 3 | takes the minimum value
• 9. The two trains a and B leave each other from the two cities at the same time. When car a travels 36 kilometers less than car B, the two trains are 264 kilometers apart. Given that the speed ratio of car a and B is 5:6, how many kilometers are the two cities apart
• 10. What are the average and variance of a set of data 1.2.3.4.5?
• 11. The solution of the basic inequality y = (3 + X + X * x) / (1 + x) (x > 0) in high school mathematics
• 12. Cauchy inequality solution: known a, B, C are positive numbers, prove: (A / B + B / C + C / a) (B / A + C / B + A / C) > = 9
• 13. When x > 0, x > ln (1 + x)
• 14. Find and prove the inequality that 1 / x + 1 / y is greater than or equal to 4 / x + y
• 15. X + 4Y = 1 x y greater than 0 to find the minimum mean inequality process of 1 / x + 1 / Y
• 16. 1-2 / x + y = XY, 4Y + 6x = XY?
• 17. Given that two positive numbers x and y satisfy x + 4Y + 5 = XY, then the values of X and y are () A. 5，5B. 10，52C. 10，5D. 10，10
• 18. Positive integers x, y satisfy the equation x-4y = 78 and inequality 4 ≤ X-8 (Y-1) < 8, and find the value of XY
• 19. If x, y ∈ R + and X + 4Y = 1, then the maximum value of X · y is 0______ ．
• 20. Given | X-2 | + x ^ 2-xy + 1 / 4Y ^ 2 = 0, find the value of X and y