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本文只想谈谈培养学生复数运算的三种技能,以便用来解决现行高中代数课本中的若干练习題。不妥之处,请大家指正。 (一)培养学生掌握几种特殊复数的运算技能 1°(1+i)~2=2i; 2°(1-i)~2=-2i; 3°(a+bi)/(b-ai)=i; 4°(a+bi)(a-bi)=a~2+b~2。以上性质1°和2°在解題中应用颇广,现举数例如下: 例1.(课本第62页第13(3)题) 计算(-1-i)~(-6)。
This article just wants to talk about the three skills of cultivating students’ complex numbers in order to solve some of the exercises in current high school algebra textbooks. Inappropriate, please correct me. (I) Train students to master several special complex arithmetic skills 1°(1+i)~2=2i; 2°(1-i)~2=-2i; 3°(a+bi)/(b-ai) )=i; 4°(a+bi)(a-bi)=a~2+b~2. The above properties of 1° and 2° are widely used in the problem solving. The examples are as follows: Example 1. (Textbook 13 (3) on page 62) Calculation (-1-i) ~ (-6).