教材习题点拨复习参考题A组1(1)A点拨:(abi)(cdi)(acbd)(adbc)i为实数,则adbc0.(2)C点拨:i2,所以的共轭复数是i2.(3)D点拨:m(3i)(2i)3m2(m1)i,m1,03m21,m10.m(3i)(2i)对应的点在第四象限(4)C点拨:(i)3(i)2(i)(i)(i)(i)(i)1.2解:由已知,设zbi(bR且b0),则(z2)28i(bi2)28i(4b2)(4b8)i.由(z2)28i是纯虚数,得解得b2,因此z2i.3解:由已知,可得z1z286i,z1z25510i.又因为,所以z5i.点拨:先将z用z1与z2表示出来,然后将复数代入等式即可B组1解:设zabi(a、bR),则abi.由(12i)43i,得(12i)(abi)43i,化简,得(a2b)(2ab)i43i.根据复数相等的条件,有解得a2,b1.于是z2i,2i,i.点拨:zabi(a、bR)的共轭复数为abi,将代入原式,利用复数相等的条件求出a、b,然后再对复数进行四则运算便可2解:(1)i1i2i3i4i5i6i7i8i1i1i1i1(2)对任意的nN*,有i4n1i,i4n21,i4n3i,i4n41.点拨:i具有周期性,且最小正周期为4.