It is known that the quadratic function y = x & # 178; - BX + B-2. Try to explain that there must be two intersections between the image of this function and the x-axis

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• 1. Given that the maximum value of quadratic function y = f (x) is equal to 13, and F = (- 1) = 5, find the analytic expression of F (x)
• 2. Given that the maximum value of quadratic function y = f (x) is equal to 13, and f (3) = f (- 1) = 5, then the analytic expression of F (x) is f (x)=______ ．
• 3. Given that the maximum value of quadratic function y = f (x) is equal to 4, and f (3) = (- 1) = 0 (1), find the analytic expression of F (x); (2) write the monotone interval of F (x)
• 4. The function y = f (x) is quadratic. If f (1 + x) = f (1-x), and the maximum value of F (x) is 15, the sum of two squares of F (x) = 0 is equal to 4
• 5. It is known that the quadratic function f (x) satisfies the following conditions: (1) the axis of symmetry is x = 1; (2) the maximum value is 15; (3) the sum of two squares of F (x) = 0 is 7 For example, find the analytic expression of F (x)
• 6. Given that the quadratic function f (x) of one variable satisfies the condition f (1 + x) = f (1-x), the maximum value of F (x) is 15, and the sum of two squares of F (x) = 0 is 17, find f (x)
• 7. The quadratic function f (x) satisfies the following conditions: (1) f (1 + x) = f (1-x); (2) the maximum value of F (x) is 15; (3) the sum of two cubes of F (x) = 0 is 32. Find f (x); if x belongs to [- 1,4], find the maximum value of F (x); find the minimum value of F (x) in the interval [M, M + 2]
• 8. Given the quadratic function y = ax ^ 2 + BX + C (a ≠ 0), when x = 1 / 2, the maximum value of this function is 25,
• 9. If the quadratic function f (x), when x = 1 / 2, the maximum value of F (x) is 25, the equation f (x) = 0 and the sum of two cubes is 19, then f (x)
• 10. It is known that the quadratic function f (x) has the maximum value f (2) = 5, and f (1) = 3
• 11. If the solution of the system x + 2Y = M2X + y = 1 satisfies X-Y = 5, then the value of M is______ ．
• 12. Given that the equation 2x + y = 3nx + y = 1 and 2x + my = 2x + y = 1 have the same solution, then M + n=______ ．
• 13. It is known that the solution x.y of the equations x + 2Y = m, 2x + y = m + 1 satisfies x + y ≥ 0, then the value range of M is
• 14. Power 2007 of (- 0.5) * power 2008 of 4 (power n of 2x) (power n of 2x)
• 15. It is known that x = 4, y = 2 are the solutions of the equations 2x + (m-1) y = 4, NX + y = 2, and the value of (M + n) 2007 power is obtained Don't use functions, folks
• 16. If the equation x ^ 2-4x + 3M = 0 has the same root as x ^ 2-x-6m = 0, find M
• 17. On the problem of fraction calculation Given a + B + C = O, find the value of a (1 / B + 1 / C) + B (1 / A + 1 / C) + C (1 / B + 1 / a) There must be a process. Thank you
• 18. Please work out the fraction problem x^2-16 x ———— + —— x^2+8x 16 x-4
• 19. Calculation of two fractions Find the value range of meaningful x X2-1 of x2 + 1 Finding the value of a fraction X & # 178; + Y & # 178; of 2XY, where x = negative half, y = 2 I'm offline after 10:30. I can't raise the reward
• 20. Find a fraction 1/(1-x)-1/(1+x)-2x/(1+x^2)+(-4x^3)/(1+x^4) Seek process! Urgent, online, etc