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今年高考数学试题(理工类)第六题(2)是一则值得讨论的数学题。原题是:设三角函数 f(x):sin((kx)/5)+π/3),其中 k≠0。试求最小的正整数 k,使得当自变量 x 在任意两个整数间(包括整数本身)变化时
This year’s Mathematics Exam Question (Polytechnic) Question 6 (2) is a math problem worthy of discussion. The original question is: Set the trigonometric function f(x):sin((kx)/5)+π/3), where k≠0. Try to find the smallest positive integer k such that when the independent variable x changes between any two integers (including the integer itself)