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“如果f(x)是几个周期函数代数和的形式,那么就先求出这几个周期函数的周期,并以它们的最小公倍数做为f(x)的周期。”这是一些复习资料介绍的求函数周期(最小正周期)的方法。这种用最小公倍数来确定周期的方法使用方便,学生乐意套用。如f(x)=sinx-cosx/2,因为sinx的周期为2π,cos x/2的周期是4π,所以f(x)的周期是4π。但是这种方法是错误的,应该予以纠正。例如,求f(x)=ctgx-tgx的周期。显然,用最小公倍数法所得周
“If f (x) is the form of the sum of the algebraic functions of several periodic functions, then we first find out the periods of these periodic functions and use the least common multiple of them as the period of f (x).” Here are some review materials Introduction to the function of the cycle (minimum positive cycle) method. This method of determining the period with the least common multiple is easy to use and students are happy to apply it. Since f (x) = sinx-cosx / 2, since the period of sinx is 2π and the period of cosx / 2 is 4π, the period of f (x) is 4π. However, this method is wrong and should be corrected. For example, find the period of f (x) = ctgx-tgx. Obviously, the least common multiple is obtained by the week