考点3 复数的四则运算(2018天津卷(理)i是虚数单位,复数6+7i1+2i_.【解析】6+7i1+2i(6+7i)(1-2i)(1+2i)(1-2i)20-5i54i.【答案】4i (2018全国卷(理)(1i)(2i)等于()A3i B3iC3i D3i【解析】(1i)(2i)22iii23i.【答案】D(2018全国卷(理)1+2i1-2i等于()A4535i B4535iC3545i D3545i【解析】1+2i1-2i1+2i21-2i1+2i1-4+4i1-2i2-3+4i53545i.故选D【答案】D(2018全国卷(理)设z1-i1+i2i,则|z|等于()A0 B12C1 D2【解析】z1-i1+i2i(1-i)21+i1-i2i-2i22ii,|z|1.故选C【答案】C