Let point p be a center of symmetry of image C with function f (x) = 29sinwx, if the minimum distance from point P to the axis of symmetry of image C is π / 8 Then the minimum positive period of F (x) is? The answer is π / 2,

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• 1. Let p be a distance from the center of symmetry of the image c of the function f (x) = cos (Wx + a). If the minimum value from P to the axis of symmetry of the image C is π / 4, we can get the following formula: Let p be a distance from the center of symmetry of the image c of the function f (x) = cos (Wx + a). If the minimum value from P to the axis of symmetry of the image C is π / 4, then the minimum positive period of F (x) is?
• 2. Let p be a symmetry center of image C with F (x) = SiNx. If the minimum distance between P and the symmetry axis of image C is Wu / 4, what is the minimum positive period of F (x)
• 3. Let f (x) = (sinwx + coswx) ^ 2 + 2cos ^ 2wx-2 (W > 0) have a positive period of 2 π / 3 and find the range of [0,3 / π] The function is even when it is shifted to the right Q units
• 4. Let the minimum period of function f (x) = (sinwx + coswx) ^ + 2cos ^ Wx (W > 0) be 2 / 3, and find the value of W
• 5. Given the vector a = (m, n), B = (coswx, sinwx), where m, N, W are constants, and W > 0, X ∈ R, the function y = f (x) = vector a * and the period of vector B is π. When x = π, 12, the maximum value of the function is 1 (1) Finding the analytic expression of function f (x) (2) Write the axis of symmetry of y = f (x) and prove it
• 6. Let f (x) = (sinwx + coswx) ^ 2 + 2cos ^ 2wx (W > 0) have a minimum positive period of 2 π / 3 Finding the minimum positive period of W
• 7. Given the function y = (1 / 2) ^ | x + 2 | (1), make its image; (2) point out its monotone interval; (3) when determining the value of X, y has the maximum value
• 8. Given the function y = - x ^ 2 + ｜ x + 2, seek the image, seek the monotone interval, seek the maximum value of the function
• 9. In the following functions, where the minimum positive period is π and the image is axisymmetric with respect to the line x = π 3 () A. y=sin（2x-π3）B. y=sin（2x+π6）C. y=sin（2x-π6）D. y=sin（12x+π6）
• 10. In the following functions, the period is π, and the symmetric function of the image with respect to the line x = π / 3 is () A.y=2sin(x/2+π/3) B.y=2sin(x/2-π/3) C.y=2sin(2x+π/6) D.y=2sin(2x-π/3) The answer is to exclude AB with the definition first, the period is π, AB does not hold Then, x = π / 3 is the axis of symmetry, From term C, we can take the symmetric point (2 π / 3, - 1 / 2) of point (0, - 1 / 2) with respect to x = π / 3, and substitute x = 2 π / 3 into term C, then y = - 2 ≠ - 1 / 2 doubt! Q: Why shouldn't y = - 1 when x = 0 in the C-term (0, - 1 / 2)?
• 11. Let p be a center of symmetry of the image c of the function f (x) = sin ω X. if the minimum distance π 4 from P to the axis of symmetry of the image C, then the minimum positive period of F (x) is () A. 2πB. πC. π4D. π2
• 12. Given that the image of the function f (x) = 2Sin (Wx + π) is symmetric with respect to the line x = π / 3 and f (π / 12) = 0, what is the minimum value of W
• 13. Given that the image of the function f (x) = 2Sin (ω x + φ) (ω > 0) is symmetric with respect to the straight line x = π 3 and f (π 12) = 0, then the minimum value of ω is () A. 2B. 4C. 6D. 8
• 14. F (x) = sin (x + π / 3), the image of F (x) is symmetric with respect to (- 1,0), and the function is?
• 15. If the image of the function y = ACOS (x − π 6) sin (ω x + π 6) (a > 0, ω > 0) is shifted to the left by π 6 units, the image obtained is symmetrical about the origin, then the value of ω may be () A. 2B. 3C. 4D. 5
• 16. Given that f (x) = sin ω x (ω > 0), if y = f (x), the minimum distance from a symmetry center to the symmetry axis is π / 4, try to write the analytic expression of the function
• 17. Given the function f (x) = sin ω x + ACOS ω x, the image is symmetric with respect to the line x = π / 6, and the point (2 / 3 π, 0) is a function graph
• 18. If the image of the function f (x) = 3x + B and the image of the function g (x) = x / 3-1 are symmetric with respect to the line y = x, then the value of B is equal to?
• 19. If the function f (x) = (2 ^ x-1) / (2 ^ x + 1) and the image is symmetric with respect to the line y = x, then G (1 / 3)=
• 20. Given that the image of function f (x-1) is symmetric to the image of function g (x) with respect to the straight line y = x, and G (1) = 2, then a, f (1) = 1 B, f (2) = 1 C, f (3) = 1 D, f (0)= Given that the image of function f (x-1) is symmetric to the image of function g (x) with respect to the straight line y = x, and G (1) = 2, then a, f (1) = 1b, f (2) = 1C, f (3) = 1D, f (0) = 2