复数等式两边取模是一种运算 ,它可以把复数问题变为实数问题求解 ,运用复数取模 ,可以达到顺利求解之目的 .例 1(课本Ｐ195第 16题 )已知ｚ1 ,ｚ2 ∈Ｃ ,ｚ1 ·ｚ2 =0 .求证 :ｚ1 ,ｚ2 中至少有一个是 0 .证　由ｚ1 ·ｚ2 =0两边取模有 :|ｚ1 ·ｚ2 |= 0 ,则 |ｚ1 ||ｚ2 |=0 , Two-sided modulo arithmetic is a kind of operation, it can solve the complex number problem as a real number problem, and can use complex modulo to achieve a smooth solution. Example 1 (textbook P195 item 16) Known z1, z2 ∈C Z1 · z2 =0. Proof: At least one of z1 and z2 is 0. The evidence is that z1 · z2 =0 is modulo: z1 · z2 |= 0, then z1 |z2 |=0