If f (x) is an even function defined on R with period of 3 and f (2) = 0, then the minimum number of solutions of the equation f (x) = 0 in the interval (0,6) is () A. 5B. 4C. 3D. 2

If f (x) is an even function defined on R with period of 3 and f (2) = 0, then the minimum number of solutions of the equation f (x) = 0 in the interval (0,6) is () A. 5B. 4C. 3D. 2

∵ f (x) is an even function defined on R, and the period is 3, f (2) = 0, ∵ f (- 2) = 0, ∵ f (5) = f (2) = 0, f (1) = f (- 2) = 0, f (4) = f (1) = 0. In the interval (0, 6), f (2) = 0, f (5) = 0, f (1) = 0, f (4) = 0