Let f (x) be a function of R with a minimum positive period of 3 π / 2, if f (x) = cosx, (- π / 2 ≤ x0) SiNx, (0 ≤ x)

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• 1. If f (x) = cosx, (− π 2 ≤ x < 0) SiNx, (0 ≤ x < π), then f (− 15 π 4) is equal to () A. 22B. 1C. 0D. −22
• 2. Given the function f (x) = xlnx, if f (x) > = A-1 for all x > = 1, find the value range of real number a
• 3. Given that the function f (x) = (AX2 + x) - xlnx increases monotonically on [1, + ∞), then the value range of real number a is______ ．
• 4. If the image of the function f (x) = (m-1) x2 + 2mx + 3 is symmetric about the Y axis, then the maximum and minimum values of F (x) in the interval [- 2, - 1] are respectively
• 5. Given that the image of the function f (x) is symmetric with respect to the y-axis, and the interval is in (- ∞, 0), if x = - 1, f (x) has a minimum value of 3, then in the interval (0, + ∞), if x=__ When, F (x) has the most__ The value is__
• 6. If the image of F (x) and G (x) = (12) x is symmetric with respect to the line y = x, then the monotone increasing interval of F (4-x2) is______ ．
• 7. If the image of function f (x) and the image of function g (x) = (0.5) ^ X are symmetric with respect to the straight line y = x, then the monotone decreasing interval of F (2x-x ^ 2) is?
• 8. Given that the image of quadratic function y = ax & # 178; + BX + C passes (1,0), and a > b > C, then the value range of C / A is?
• 9. If the vertex of the image of quadratic function f (x) = - x ^ 2 + 4x + C is on the X axis, then the value of C is
• 10. As shown in the figure, let the image of quadratic function y = ax & # 178; + BX + C intersect at two points AB, and intersect with y axis at point C, if AC = 8, BC = 6, ∠ ACB = 90 °
• 11. Let f (x) be a function with the domain R and the minimum positive period 52 π, and f (x) = SiNx (0 ≤ x < π) cosx (− π < x < 0), then f (− 114 π)=______ ．
• 12. Given the function f (x) = f '(π / 2) SiNx + cosx, then the value of F (π / 2) is Sorry, wrong. F (x) = f '(π / 2) SiNx + cosx. It's derivative
• 13. Find the maximum value of function f (x) = SiNx + cosx + SiNx * cosx
• 14. Given the function f (x) = f '(π 4) cosx + SiNx, then the value of F (π 4) is______ ．
• 15. Given the function f (x) = f '(π 4) cosx + SiNx, then the value of F (π 4) is______ ．
• 16. Given that the point P is on the image of the linear function y = - X-1, and the distance to the X axis is 2, the coordinates of P are obtained
• 17. Quick! On the image of the first-order function y = half x + half, get the coordinates of the point whose distance from the Y axis is 1
• 18. If the image of a linear function is parallel to the straight line y = 12x − 1, the intersection points with the x-axis and y-axis are a and B respectively, and pass through the points (- 1, - 5), then the points on the line AB (including the end points a and b) whose abscissa and ordinate are integers are () A. Four B. five C. six D. seven
• 19. Given that the image of a function of a degree passes through point a (2, - 1) and point B, where point B is the intersection point of another straight line y = negative half x + 3 on the Y axis, the function of a degree can be obtained Find the expression of this first-order function!
• 20. A straight line is parallel to the image of the first-order function y = half x-3, and the focus of the image of the first-order function y = 2x + 1 is on the Y axis