In the intersection of the image of the function y = - 5 / 2Sin (4x + 2 π / 3) and the X axis, the closest point to the origin is 4X + 2 π 3 = k π, why is it equal to K π,

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• 1. The function y = 4x + B, the area of the triangle formed by its image and two coordinate axes is 16, then the value of B is_____ . The function y = 4x + B, the area of the triangle formed by its image and two coordinate axes is 16, then the value of B is_____
• 2. The odd function y = f (x) is a decreasing function defined on (- 2,2), if f (m-1) = f (2m = 1) > 0 What is the range of M? As long as it turns out
• 3. It is known that the odd function f (x) = x ^ 3 + ax ^ 2 + BX + C is an increasing function defined on [- 1,1] It is known that the odd function f (x) = x ^ 3 + ax ^ 2 + BX + C is an increasing function defined on [- 1,1] 1 find the value range of real number B; 2 if B2 TB + 1 ≥ f (x) is constant for X ∈ [- 1,1], find the value range of real number t
• 4. The number of zeros of function f (x) = x2-2x + 3 is () A. 0B. 1C. 2D. 3
• 5. If x > 0, the maximum value of y = 4-2x-x is 0
• 6. When - 3 ≤ x ≤ 3, find the maximum and minimum value of the function y = x ^ 2-2x-3
• 7. A good God in solving a mathematical problem helps to find the maximum and minimum value of the known function f (x) = x2-2x + 3 on [a, a + 3] I have the answer. I will discuss it in four intervals, but I don't know where the boundary of minus half comes from The four intervals are (negative infinity, - 2) [- 2, negative half] (negative half, 1)] (1, positive infinity) How did that negative half come from? (X2 is the square of x)
• 8. Given x ^ 2 + XY + y ^ 2 = 1, find the maximum and minimum of u = x ^ 2 + y ^ 2 ^The second power of X, for example
• 9. The known function (x) = sin (2x Pai / 6) + cos ^ 2x. (1). If f (x) = 1, find the value of sinacosa. (2) Known function (x) = sin (2x Pai / 6) + cos ^ 2x (1) If f (x) = 1, find the value of sinacosa (2) How to find the monotone increasing interval of function f (x)?
• 10. -1 / (1 * 3), 1 / (2 * 4), - 1 / (3 * 5), 1 / (4 * 6)
• 11. Let f (x) be a function defined on the real number set R and satisfy f (x + 2) = f (x + 1) - f (x). If f (1) = Lg3 / 2, f (2) = LG15, find f (2001)
• 12. Let f (x) be a function defined on the real number set R and satisfy the following conditions: F (x + 2) = f (x + 1) - f (x). If f (1) = Lg3 / 2, f (2) = LG15, find f (2004) Please! I'm very polite!
• 13. The function f (x) defined on R satisfies the following conditions: F (x) + F (- x) = 2 pairs of non-zero real numbers x, all of which have 2F (x) + F (1 / x) = 2x + 1 / x + 3. (1) find the analytic expression of F (x) The function f (x) defined on R satisfies the following conditions: F (x) + F (- x) = 2 pairs of non-zero real numbers x, all of which have 2F (x) + F (1 / x) = 2x + 1 / x + 3. (1) find the analytic expression of F (x) (2) Let f ^ 2 (x) - 2x under the function g (x) = root sign, y = 2 ^ (1 / 2) N-X and y = G ^ - 1 (x) respectively The function f (x) defined on R satisfies the following conditions: F (x) + F (- x) = 2 pairs of non-zero real numbers x, all of which have 2F (x) + F (1 / x) = 2x + 1 / x + 3. (1) find the analytic expression of F (x) (2) Let f ^ 2 (x) - 2x under the function g (x) = root sign, y = 2 ^ (1 / 2) N-X and y = G ^ - 1 (x) respectively Let an be the length of anbn and Sn be the sum of the first n terms of the sequence {an}. When n is greater than or equal to 2, the square of Sn is greater than 2 (S2 / 2 + S3 / 3 +...) +Sn/n)
• 14. The increasing function f (x) defined on R + satisfies that f (x / y) = f (x) - f (y) holds for any x, y ∈ R + 1. Find f (1) (solved) the answer is 0 2. F (4) = 1, solving inequality: F (x + 6) - f (1 / x)
• 15. It is known that f (x) is an increasing function defined on R +, and f (x / y) = f (x) - f (y) holds for any x, y ∈ R + (1) Find the value of F (1) (2) If f (4) = 1, solve the inequality f (x + 6) - f (1 / x) < 2
• 16. Let f (x) be a function on R and satisfy f (0) = 1, and for any real number, f (X-Y) = f (x) - Y (2x-y + 1), the analytic expression of F (x) is obtained I don't understand the two equations. I hope I can be more detailed
• 17. Given that the function y = f (x) defined on the real number set R is symmetric with respect to the straight line x = 2, and the analytic expression of X ∈ [0,2] is y = 2x-1, then the analytic expression of F (x) on X ∈ [2,4] is y = 2x-1____ .
• 18. It is known that the function f (x) defined on the real number set R satisfies the following conditions: (1) f (- x) = f (x) (2) f (2 + x) = f (2-x) (3) when x ∈ [0,2], the analytic formula y = 2x-1, and the analytic formula on X ∈ [- 4,0] is obtained
• 19. If the function f (x) = a + 2 / (2 ^ x-1) is an odd function in its domain, then the value of the real number a
• 20. If the function f (x) = a + 2 / 2 ^ X-1 is odd in its domain, then the value of real number a is zero