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The known function f (x) = | X-1 | + | 2x-1 | + | 3x-1 | + +|100x-1 |, then when x=______ The minimum value of F (x) is obtained
f（x）=|x-1|+|2x-1|+|3x-1|+… +|100x-1|=|x-1|+2|x-12|+3|x-13|+… +100|x-1100|=|x-1|+|x-12|+|x-12|+|x-13|+|x-13|+|x-13|+… +|X-1100 | has (1 + 100) × 100 × 12 = 5050 items, and | x-a | + | X-B | ≥ | A-B | (Note: | x-a | is the distance from X to a
Sufficient conditions for extreme value of binary function
If a * C-B ^ 2 > 0, the extremum must exist,
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- 1. Extremum of binary function What is the value of F (x, y) x ^ 2 + 2Y ^ 2-lnx-lny in the domain
- 2. If a point is an extreme point of a binary function, then this point () A: It must be a differentiable point of a function B: It must be an undifferentiable point of a function C: It must be the stationary point of the function D: Or stationary point or nondifferentiable point
- 3. If x = 2Y = 1 is the solution of the system of quadratic equations 32ax + by = 5AX − by = 2, find the value of a + 2B
- 4. Given that x = 4Y = 3 is the solution of the system ax + by = 5bx + ay = - 12, then a + B=______ ．
- 5. It is known that the solutions of the equations 2x + 5Y = - 6 ax by = - 4 and 3x-5y = 16 BX = ay = - 8 are the same Known equations 2x + 5Y = - 6 Ax by = - 4 and the equations 3x-5y = 16 BX=AY=-8 Find the value of (2a + b) 2007 with the same solution If I3A + B + 5L + l2a-2b-2l = 0, what is the square of 2a-3b = If the system of equations x+Y+2a If the solution of X-Y = 4A is a solution of 3x-5y-28 = 0, then a = () A1 or - 1 B 2 C 7 d 6 In the square + ax + B of the algebraic formula x, when x = 2, its value is 3, when x = - 2, its value is 19. Then the value of the algebraic formula A-B is () A -11 B11 C 3 D-3 Well, it's BX + ay = - 8
- 6. If the solution of the system ax + 2Y = b4x − by = 2A − 1 is x = 1y = − 1, then a=______ ，b=______ ．
- 7. Please write a linear equation with one variable so that the coefficient of the unknown is - 2, and the solution of the equation is x = 0.5:1______ ．
- 8. If the equation (AX + 1) / (x-1) - 1 = 0 about X has no solution, then a is I know that a = - 1, but if we divide the equation into x (A-1) = - 2, then a = 1 is no solution?
- 9. Given that x = 3 is the solution of equation 3 [(X3 + 1) + m (x − 1) 4] = 2, n satisfies the relation | 2n + m | = 1, the value of M + n is obtained
- 10. Given that x = 3 is the solution of equation 3 [(X3 + 1) + m (x − 1) 4] = 2, n satisfies the relation | 2n + m | = 1, the value of M + n is obtained
- 11. The maximum value of the third power * cosx of y = SiNx
- 12. Find the maximum and minimum of the function y = 7-4sinxcosx + 2 (cosx) ^ 2-2 (SiNx) ^ 2
- 13. Find the maximum, minimum and period of the function y = 3cosx + 4sinx
- 14. The area enclosed by y = x & # 179; and y = x & # 178
- 15. The coordinates of the intersection point of the image of the linear function y = 12x-4 and y = - 3x + 3 are______ ．
- 16. How to draw the image of y = Log1 / 3 | x |?
- 17. When y = 2 / 3x + 2, what is the value of X, the image of the function is always below the x-axis?
- 18. Let f (x) be derivative of second order, f '' (x) > 0, f (0) = 0. It is proved that f (x) = f (x) / x, X ≠ 0, f (x) = f (0), x = 0 is monotone increasing function
- 19. It is proved that if the function f (x) is continuous on (- ∞, + ∞), and f (x) = ∫ (x, a) f (T) DT, then f (x) ≡ 0 Tip: prove that f (x) = CE ^ X
- 20. Let f (x) be a continuous function and satisfy the integral of F (x) = 1 + XF (T) DT / T ^ 2 from 1 to X