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在解复数题时,由于解题方法灵活,涉及知识面广,稍一疏虎就会发生错误。拙文对一些书刊上和学生作业中出现的错误,分类剖析。一、用复数循环论证数学公式例1 证明两角和的正余弦公式。错证:设复平面内任意一点z_1对应的复数的幅角为α,其摸为1,另一点Z_2对应的幅角为α+β,其摸为1,则
When solving a large number of questions, due to the flexibility of the problem-solving method and the breadth of knowledge involved, mistakes will occur in the case of a sparse tiger. Yu Wen categorizes the mistakes that appear in some books and student assignments. First, the use of plural cycles to demonstrate mathematical formulas Example 1 to prove the two-sum sine cosine formula. Wrong card: set the complex angle of the complex number corresponding to any point z_1 in the complex plane to be α, its touch is 1, and the corresponding point of another point Z_2 is α+β, and the touch is 1, then