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复数的运算种类虽多,但各种运算方式间有联系,最本质的运算方式就是代数形式的运算。多样性的运算使得我们研究复数问题时有多种可考虑的途径,以便从中选择较好的方式,运用常用的结论或者利用数学思想方法来解题,可以简化运算。一、整体角度巧转化例1已知z=2-i,则z~6-3z~5+z~4+5z~3+2=________。分析:如果直接把z=2-i代入,运算起来比较繁杂,而根据题目条件,通过整体角度来转化,方法巧妙,运算快捷。
Although the number of complex numbers of operations, but there is a link between the various computing methods, the most fundamental way of computing is algebraic form of computing. The multiplicity of operations allows us to study complex problems in a variety of ways to consider, in order to choose the better way, the use of common conclusions or the use of mathematical thinking to solve problems, can simplify the operation. First, the overall perspective Qiaozhuan Example 1 known z = 2-i, then z ~ 6-3z ~ 5 + z ~ 4 +5 z ~ 3 +2 = ________. Analysis: If z = 2-i directly into the calculation is more complicated, and under the conditions of the title, through the overall point of conversion, clever way, the operation is quick.