Is that a period for a mathematical function? Which is the image?
If f (x + T) = f (x), t is called a period
The image can be superimposed with the original image by moving it horizontally
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- 1. If there is no real element in the solution set of equation x ^ 2-2x + 2A = 0, find the straight range of real element a
- 2. Test questions of mathematical function in grade one of senior high school Given that there is a point P (- radical 3, m) on the terminal edge of angle θ, and sin θ = 4 / 4 radical 2 m, the value of cos θ = Tan θ is obtained
- 3. The known function f (x) = 3-4asinxcosx + 4cos & sup2; x-4 (cosx) ^ 4 1. If a = 1, find the maximum and minimum of F (x) 2. If the minimum value of function f (x) is 1, find the value of A
- 4. Several mathematical function problems 1. Function y = the square of X / the square of X + 1, X belongs to real number, find the function range 2. The maximum value of function y = 1 / 1-x (1-x) 3. If the square of function y = x + AX-1 has the minimum value - 2 in the interval [0,3], then the real number a is equal to? 4.2lg (X-Y) = lgx + lgY, then Y / x equals?
- 5. A mathematical function problem If the line y = (1 + M & sup2;) x + B intersects the X axis at P (- 5,0), then___ When y > 0___ Y < 0
- 6. A proof of mathematical function Let an implicit function satisfy f (x, y) = f (y, x) = K (k is a constant) It is proved that the explicit function y = f (x) determined by F (x, y) = k must satisfy f (x) = F-1 (x)
- 7. It is known that the parabola y = MX2 - (3m + 4 / 3) x + 4 intersects the X axis at points a and B, and intersects the Y axis at point C (1) Find the coordinates of three points a, B and C (one of them can be expressed by an algebraic expression containing m) (2) If △ ABC is an isosceles triangle, find the analytical formula of parabola There are four situations in the second question
- 8. A problem of periodic function, Given that the domain of definition of function y = f (x) is r, f (x + 2011) = f (x + 2010) + F (x + 2013) holds for any real number X. if f (1) + F (2) = 1 and f (1) + F (2) + +If f (2013) = 0, then f (2007) =?
- 9. A problem about the period of function If f (x) is an odd function on R and an increasing function on (- 1,0), and f (x + 2) = - f (x), find the period of F (x)? The answer is f (x) = - f (x + 2) = f (x + 2 + 2) = f (x + 4). Why can't f (x) = - f (x + 2) be used directly, and the period is 2
- 10. Ask a question about periodic function F (x) is a bounded function on R, f (x + 13 / 42) + F (x) = f (x + 1 / 6) + F (x + 1 / 7), find the smaller positive period of F (x) The answer in the reference book is 1 / 42, but the process is wrong. I can only prove that 1 is the period of F (x) How to find out that 1 / 42 is f (x) period,
- 11. Period of mathematical function What is the period of 2cosx / 2-3sinx / 3
- 12. The steps of finding a function period F (1-x) + F (1 + x) = 0, Y = f (x) is an even function What's the sixth step? I don't understand
- 13. What are the steps to prove that a function is periodic
- 14. The minimum positive period of the function y = 2sin2x is______ .
- 15. If the sum of the minimum positive periods of function y = sin ω X and function y = Tan ω x (ω > 0) is π, then ω=______ .
- 16. Finding the minimum positive period of function {process} FX=sin{2x+PI/6}+sin{2x-pi/6}+cos2x
- 17. The function with period 2 is () A. y=2cos2πx-1B. y=sin2πx+cosπxC. y=tan(π2x+π3)D. y=sinπxcosπx
- 18. Find the period of the following functions: (1) y = sin23x, X ∈ R; (2) y = 12cos4x, X ∈ R
- 19. Find the following periodic functions 1. Y = sin3x / 4, X ∈ R 2. Y = cos4x, X ∈ R
- 20. It takes 26 seconds for a train to pass the 396 meter bridge and 18 seconds to pass the 252 meter tunnel. How long is the train's body?