摘要:31.对数的四则运算法则 若a>0.a≠1.M>0.N>0.则 (1);(2) ; (3).
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函数极限的四则运算法则:如果
f(x)=a,
g(x)=b,那么
[f(x)±g(x)]=___________;
[f(x)·g(x)]=_________;
=__________(b≠0);
[Cf(x)]=__________(C是常数);
[f(x)]n=____________.
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指数的运算法则: 对数的运算法则:
(1)aman=am+n; →(1)________;
(2)
=ama-n=am-n; →(2)________;
(3)(am)n=amn. →(3)________.
复数代数形式的四则运算法则
(1)设z1=a+bi,z2=c+di(a、b、c、d∈R),则z1±z2=________,z1·z2=(a+bi)(c+di)=________.
=________.
(2)常用的1±i,ω的运算律:
①
=________;(1±i)2=________;
=________;
=________;in+in+1+in+2+in+3=________(n∈Z);
②设ω=
,则ω2=________,ω+
=________,ω·
=________,1+ω+ω2=________,ωn+ωn+1+ωn+2=________(n∈Z).
ω
3k=________,ω3k+1=________,ω3k+2=________(k∈Z).