人教社高级中学课本《代数》下册第201页对棣莫佛定理的描述为 事实上,当n∈Z时,上式仍成立. 现证明当n∈Z-时①式成立. 我们不妨规定z-1=1/z(参见课本p213.14题),z0=1(z≠0时).(这与实数中的规定是一致的,与课本P195,第20题的规定也是吻合的.) The description of the Mohva theorem is in fact the description of the Mohva theorem on page 201 of the Senior High School Textbook “Algebra”. In fact, when n∈Z, the above formula is still established. Now we prove that when n∈Z- is established, we can The regulation z-1 = 1/z (see textbook p213.14), z0 = 1 (z≠0). (This is consistent with the rules in real numbers, and is consistent with the provisions of textbook P195, question 20). .)