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中学数学教师从事复数棣莫弗公式 [r(cosθ+i sinθ)]~n=r~n(cosθ十i sinθ) (1)的教学,一般利用它进行计算是不会发生错误的。但是,我们仍应避免对它可能产生的错误理解。 在某些中学数学读物上对(1)式是这样解释的:“复数n(n ∈N)次幂的模等于这个复数的
The mathematics teacher in the middle school is engaged in the teaching of the plural 棣Moffe formula [r(cosθ+i sin θ)]~n=r~n(cos θ i sin θ) (1). Generally, it is not erroneous to use it for calculation. However, we should still avoid its possible misunderstandings. In some high school math readings, the formula (1) is interpreted as follows: "The modulus of a complex number n (n ∈ N) is equal to the complex number