The function y = x + M & sup2; intersects the image of y = 4x-1 at the same point on the x-axis, and the value of M is______

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• 1. It is known that the function y = [M + 2] x to the power of M + 4 - 4x + 1 [x ≠ 0] is a linear function Multiplication of powers of the same base
• 2. If the function y = (m-2) x3-m2 + m is a linear function, then the value of M is___ ．
• 3. When m, y = (M-4) x to the power of 2m + 1 + 4x-5 is a linear function
• 4. Given the function f (x) = x 2 + ax + 3, when x ∈ [- 2,2], f (x) ≥ A is constant, and the minimum value of a is obtained
• 5. Given the function f (x) = (x ^ 2 + ax + 11) / (x + 1) (a ∈ R), if f (x) ≥ 3 holds for any x ∈ n *, then the minimum value of a is equal to (17 / 3)
• 6. Given the function f (x) = cosx + ax ^ 2, when x is greater than or equal to 0, the minimum value of a with F (x) greater than or equal to 1 is k, and the value of K is obtained
• 7. Given the function f (x) = x 2 + ax + 3, when x ∈ [- 2,2], f (x) ≥ A is constant, and the minimum value of a is obtained The answer is [- 7,2] I use the change principal element, that is, (1-x) a + x2 + 3 > = 0, but the answer is [- 7,7 / 3] Why not solve it
• 8. Given the function y = x2 + ax + 3 about X, where - 1 ≤ x ≤ 1, try to find the maximum and minimum of the function under the following conditions respectively （1）0＜a＜2（2）a＞2
• 9. It is known that the quadratic function f (x) satisfies f (- 1) = 0, and that 8x ≤ f (x) ≤ 4 (x ^ 2 + 1) holds for X ∈ R (1) Find f (1); (2) Find the expression of F (x); (3) Let g (x) = (x ^ 2-1) / F (x), define the field x ∈ D, and give a number operation program: x1 → x2 = g (x1) → X3 = g (x2) → Let xn = g (x (n-1)), if x1, X2 If xn does not belong to D, stop the operation and give X1 = 7 / 3. Please write the set D = {x1, X2 ,xn}.
• 10. The product of all real numbers whose absolute value is less than 5 is?
• 11. The coordinate of the intersection of the function y = 2x-1 and the X axis is____ The coordinate of the intersection point with the Y axis is___ And the area of the triangle enclosed by the two axes is____
• 12. The intersection of the functions y = x ^ 2 and y = 2x + 3 is a, B. A is on the right side of B. find the area of (1) a, B coordinates (2) triangle abo
• 13. The intersection of the first-order function y = - 2x + B and the x.y axis forms a triangle. The area of the triangle is 9. How to find the first-order function?
• 14. Find the area of the triangle formed by the intersection of the parabola y = - X & # 178; - x + 6 and the coordinate axis
• 15. Function y = ax & # 178; + BX + C (a ≠ 0) image vertex is (1,4) and C = 0, the triangle area formed by the intersection of the vertex of quadratic function and coordinate axis is__
• 16. If the quadratic function y = f (x) satisfies f (3 + x) = f (3-x), and f (x) = 0 has two real roots X1 and X2, then X1 + x2 = () A. 0b. 3C. 6D. Not sure
• 17. The quadratic function y = f (x) satisfies f (3 + x) = (3-x), and f (x) = 0 has two real roots x1, x2?
• 18. Given quadratic function, f (x) = ax & # 178; + BX + C (a ≠ 0), this paper proves that the equation f (x) = 1 / 2 [f (0) + F (1)] has two unequal real roots, and one root is in the interval (0,1)
• 19. Given the function f (x) = - A & # 178; X & # 179 / / 3 + ax & # 178 / / 2 + CX (a is not equal to 0), when a ≥ 1 / 2, if the real number equation f '(x) = 0 When a ≥ 1 / 2, if the real number equation f '(x) = 0 has two real number roots m, N, and | m | ≤ 1, | n | ≤ 1. Prove: - 1 / 4 ≤ C ≤ A & # - A
• 20. It is known that the vertex coordinates of the quadratic function y = f (x) are (- 32,49), and the difference between the two real roots of the equation f (x) = 0 is equal to 7