(i) Find the analytical formula of (i) fx; (2) When [0,] 12xπ∈, find the maximum value of () fx. 6. Known function () (sincos)sinfxxxx=? , x∈R, then the minimum positive period of () fx is 7. Function cosx3sinx)x(f? The monotonic increasing interval of = is 0.8. (The full mark of this small question is 14) Known function xxxfcossin) (? =，Rx∈。 (1+0) Find the function) (The monotonic increasing interval of xf in] 2,0 [π; (2) If the function (xf takes the maximum value at 0xx=, find) 3 () 2 () (000 x f++; (3) If XXG =) ((Rx ∈), verification: equation) () (xgxf= in [) +∞, there is no real number solution in 0. (Reference data: 69.02ln=, 14.3≈π) 9. (The full mark of this little question is 65438+. (ii) Given () 5fα=, find the value of tanα. 10. (Full mark of this question 13) Known function xcxbaxf2cos2sin) (The image with+= passes through point A (0, 1). B (4 π， 1)。 (1) (the analytical formula of xf; (2) Is there a vector m, so that an image of odd function can be obtained by translating (xf) the image according to the vector m? If it exists, request an M that meets the conditions; If it does not exist, please explain why.
1 1, (the full score of this small question is 14) known function () sin (3) (0, (,), 0fxax π =+>; ∈? ∞+∞& lt； < when 12xπ=, take the maximum value of 4 (1) to find the minimum positive period of f(x); (2) Find the analytical formula of f(x); (3) If f(23α+12π)= 125, find sinα 12. The known function is 1Tansin) (+= xbxaxf, which satisfies .7) 5 (= fthen) 5 (? The value of f is () a.5b. A.5 B.-5 C.6 D.-6 13 ... Suppose the angle is 635πα? =) (cos) sin (sin1) cos () sin (222 α π α π α π α π α π++is equal to () A.33 B.-33 C.3 D.-3 14 ... (The full mark of this question is 65438+. Rr (1) When //abrr, find 22cossin2xx? The value of; (2) looking for bbaxfvvv? +=) () (In，02π？ . 15. (The full mark of this small question is 12) The known function is 2 1cossin3sin)(2? +=xxxxf。 (1) find the function) (the minimum positive period of xf; (2) Write function) (xf. 16 monotonically increasing interval. (The full mark of this question is 12) The known function 22 () Sin23 sincos3cosf3xxxxx =++. (i) Find the minimum positive period and monotonically increasing interval of the function () fx; Ii) Given () 3fα= and (0,) α π ∈, find the value of α.
17. (The full mark of this question is 12) The known vectors (θsin, θ cos) aθ θ θ = r and (3, 1)b=r, where) 2,0 (ω θ ∈ (1) if. (2) If () 2()fabθ=+rr, find the range of () fθ. 18. (The full mark of this question is 12) Known vector) 5, (sinα=a and) 5 1cos, 5 (? =αb is perpendicular to each other, and), 0 (π α∈ (Ⅰ) Find the values of αsin and αcos; (2) If 13 12)cos(=? α β, β is an obtuse angle. Find the value of βsin. 19 (the full score of this small question is 12). Guangzhou touch function 1 () 2sin (), .36 fxxr π =? ∈ (1) Find the value of 5()4fπ; (2) Let106,0, (3), (32), 22135 fafπ α β π ∈+=+to find the value of cos()αβ+. 20. ((The full score of this small question is121212) (2) If θ is an acute angle and 283fπθ+=, find the value of tanθ. 15. ((The full score of this small question is this small question, and the full score of this small question is this small question, and the full score is1212)) Six-school entrance examination. = π π∈ x (rrrr)...( 1) Find the function) (the minimum positive period of xf; (2) Find the maximum value of function (xf) and point out the value of x at this time.