Let LG2 = a, Lg3 = B. use a, B to express LG10 (senior one mathematics)

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• 1. Calculation: (1) LG25 + lg2lg50 + (LG2) 2 (2) 813 + (12) − 2 + (27-1 + 16-2) 0 + 416
• 2. LG25 + LG2 * LG50 + (LG2) ^ 2 after (LG2) ^ 2. How can the ^ 2 after (LG2) ^ 2 disappear in the next step? Where?
• 3. If a function has two symmetries, it must be periodic. Why
• 4. The problem of function image, the problem of function image symmetry, please write the proof in detail, 1. What is the symmetry between the image of function y = f (x-1) and the image of function y = f (1-x) 2. What is the symmetry between the image of function y = - f (x-1) and the image of function y = f (1-x) The first one I think is about x = 1 symmetry. I got it by enumerating. I made f (x) = x, X & # 178;, 1 / X try to get it. I know how to prove it first Second, I gave some examples, but I didn't get them. I also want to prove them
• 5. The differentiable function f (x) defined on R is known, which satisfies f '(x)
• 6. It is known that the derivative of y = f (x) defined on R is f '(x), satisfying f' (x)
• 7. If f (x) is a function x (R) = 0, and f (x / R) = 0, then f (f) is a function x (R) = 0, F (101 / 17), f (106 / 15),
• 8. If f (x) is odd, G (x) is even, and f (x) - G (x) = x2 + 2x + 3, then f (x) + G (x)= It's the square of x plus 2x + 3
• 9. Y = f (x) is an even function defined on R, The image is symmetric with respect to x = 1. For any x 1, x 2 belongs to [0,1 / 2], and f (x 1 + x 2) = f (x 1) * f (x 2), and f (1) = a > 0 1. Find f (1 / 2) and f (1 / 4) 2. Prove that f (x) is a periodic function
• 10. Given that F & nbsp; (x + 1) is odd, F & nbsp; (x-1) is even, and F & nbsp; (0) = 2, then f & nbsp; (2012) = () A. -2B. 0C. 2D. 3
• 11. 704 × 696 solved by square formula
• 12. If (y + 1 power of a multiplied by X + 2 power of B) multiplied by (2x-1 power of a multiplied by 2Y power of B) = 3 power of a multiplied by 2 power of B Find the value of X-Y
• 13. The second power of (- y) is multiplied by the fourth power of (2y-x)
• 14. Prove that y = 3x ^ 2 + 1 is a continuous function in the domain of definition by limit
• 15. In known sequence an, when A1 = 1 and N ≥ 2, the N-1 power of an = a (n-1) + 3 is obtained
• 16. Sequence {an} = 3A (n-1) + 5, A1 = 2, find an
• 17. Let {an} satisfy A0 = a, a (n + 1) = can + 1-C, where a and C are real numbers and C is not equal to 0 Formula for finding general term Let a = 1 / 2, C = 1 / 2, BN = n [1-an}, find the first n terms of BN and Sn
• 18. The general term formula of sequence {an} is an = 1n (n + 1) (n ∈ n *). If the sum of the first n terms is 1011, then the number of terms is______ ．
• 19. It is known that the general term formula of {an} is an = n / (n ^ 2 + 196), and the maximum value of {an} can be obtained It is known that the general formula of {an} is an = n / (n ^ 2 + 196), (n is a positive integer) to find the maximum value of {an}
• 20. A problem of mathematics compulsory 5 in senior one Sequence {an}, Sn = (n + 1) * (n + 7) 1. Find: a1 + A2 + a3 + A4 + A5 + A6 2. Find: A5 + A6 + A7 + A8 + A9 + A10