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
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- 1. 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
- 2. 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
- 3. F (x) = sin (x + π / 3), the image of F (x) is symmetric with respect to (- 1,0), and the function is?
- 4. 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
- 5. 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
- 6. 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
- 7. 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,
- 8. 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?
- 9. 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)
- 10. 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
- 11. 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?
- 12. 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)=
- 13. 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
- 14. A 120m long train passes through a 300m tunnel at a speed of 14m per second, counting from the moment when the locomotive enters the tunnel
- 15. Eight identical rectangular tiles are used to form a rectangular floor. The tiling method and relevant data are shown in the figure. The length and width of each tile are calculated
- 16. There are some children in the kindergarten. Mr. Li took 32 pieces of chocolate and gave them an average, just finished. What is the number of children
- 17. In diamond ABCD, CE is perpendicular to AB, e is perpendicular, BC = 2, be = 1, find the perimeter and area of the diamond
- 18. A mathematical problem about merging similar items ① Known polynomial ax's cube + ax's Square - 2x's cube + 2x's square + X + 1 is a quadratic polynomial about X, find the value of a's square + 1 / A's square + a! ② Try to explain that the sum of any three consecutive integers must be a multiple of 3
- 19. As shown in the figure, in the rectangular coordinate system, let a (3,2) B (4,1) C (m, 0) d (n, n) be the four vertices of the quadrilateral. When the perimeter of the quadrilateral ABCD is the shortest, the value of M, n is the same
- 20. 50 calculation problems of linear equation with one variable It's a little harder