Function f (x) = cos (3x + φ - π / 6) (0

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• 1. If f (x) = cos (3x - α + π / 6) is odd, then Tan α is equal to
• 2. If f (x) satisfies f (x + 2) = f (x), f (2 + x) = f (2-x), and X belongs to [2,3], f (x) = (X-2) ^ 2, find the expression of F (x) in the interval [4,6]
• 3. Given that the function f (x) = X3 + MX2 + NX + 1 has extremum at x = two-thirds and x = 1, find the value of real number m, N and the monotone decreasing interval of function f (x) (...) Given that the function f (x) = X3 + MX2 + NX + 1 has extremum at x = two-thirds and x = 1, find the value of real number m, N and the monotone decreasing interval of function f (x) (necessary steps)
• 4. It is known that x = 1 is an extreme point of the function f (x) = mx3-3 (M + 1) x2 + NX + 1, where m, n ∈ R It is known that x = 1 is an extreme point of the function f (x) = mx3-3 (M + 1) x2 + NX + 1, where m, n ∈ R, M > 0 (1) Find the expression of the relationship between M and n; (2) Finding monotone interval of F (x); detailed process
• 5. It is known that x = 1 is an extreme point of the function f (x) = MX ^ 3-3 (M + 1) x ^ 2 + NX + 1
• 6. Given that the function f (x) = x ^ 3 + 3mx ^ 2 + NX + m ^ 2 has an extreme value of 0 when x = - 1, then M + n =? I will try 11 and 4, but the correct answer is only 11 Why give up 4?
• 7. If f (x) = ax ^ 3 + 3mx ^ 2 + NX + m ^ 2 has an extreme value of 0 when x = - 1, then M + n =? Note that the third power of X is preceded by A
• 8. Given that function x ^ 3 + 3mx ^ 2 + NX + m ^ 2 has extreme value 0 when x = - 1, find m and n
• 9. Given the function y = [2m + 1] x + M-3, if the image of the function is parallel y = 3x-3, find the value of M
• 10. Given the function y = K (3x + 4) - 5, when x = 1, y = 2 (1) find the value of K (2) if (m, - 2) on this function image, find the value of M
• 11. If the function f (x) = x2-4x + 3, the set M = {(x, y) | f (x) + F (y) ≤ 0}, and the set n = {(x, y) | f (x) - f (y) ≥ 0}, then the area of the region represented by the set M ∩ n in the plane rectangular coordinate system is______ ．
• 12. If f (x) = x2-4x + 3, M = {(x, y) / F (x) + F (y) ≤ 0}, n = {(x, y) / F (x) - f (y) ≥ 0}, then the area of M, n is
• 13. Given the function f (x) = x2 + 3x-2, what is f (2) = then
• 14. Given the function f (x-1) = x2-3x + 2, find f (x + 1)
• 15. Given the function f (2x + 1) = x2-3x + 2, find f (X-2)
• 16. Given the function f (x) = x2 + 3x + 1, then f (x + 1) is equal to
• 17. It is known that y = f (x) is an even function. When x > 0, f (x) = x + A / X (a > 0). When x is greater than or equal to - 3 and less than or equal to - 1, n ≤ f (x) ≤ m is constant 1) If a = 1, find the minimum of m-n 2) Finding the minimum value g (a) of M-N 3) When a > 16, is there K belonging to (1,2)], such that the inequality f (k-cosx) is greater than or equal to f (k ^ 2 - (cosx) ^ 2) belongs to R constant for any x? If so, find out the range of real number k; if not, explain the reason
• 18. It is known that y = f (x) is an even function. When x > 0, f (x) = (x-1) 2. If n ≤ f (x) ≤ m is constant when x ∈ [- 2, - 12], then the minimum value of M-N is () A. 13B. 12C. 34D. 1
• 19. If the maximum and minimum values of F (x) = x3-3x-a in the interval [0, 3] are m and N respectively, then the value of M-N is () A. 2B. 4C. 18D. 20
• 20. Given the function y = x & # 178; - 6x + 5. (1) the analytic expression is changed to the form of y = a (X-H) &# 178; + H;