3.2复数的四则运算温故知新新知预习1.设z1=a+bi,z2=c+di是任意两个复数,则(a+bi)+(c+di)=_________.(a+bi)-(c+di)=_________.显然,两个复数的和仍是_______________.两个复数的差仍是_______________.2.两个复数相加(减),就是把_____________与____________、_____________与_____________部分分别相加(减).3.(a+bi)(c+di)=_______________.两个复数的积仍是一个_______________.4.复数乘法满足_______________、_______________、_______________.5.一般地,i4n___________________,i4n+1=___________________.i4n+2=_________________.i4n+3=_______________.6.设w=,则1+w+w2=_______________.w3=_______________.7.=_______________.知识回顾复数及有关概念(1)虚数单位i及特性.规定i·i=i2=-1.(2)复数的代数形式:a+bi(a,b∈R),全体复数构成的集合C={a+bi|a,b∈R}叫做复数集.(3)分类:复数这样:R—实数集;C—复数数;P—虚数集;S—纯虚数集.得R∪P=C,R∩P=,SPC.(4)复数相等的条件规定:a+bi=c+di(a,b,c,d∈R)1