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除了在平几、立几、解几中要注意点的位置的讨论外,在复几何中也要注意点的位置的讨论,现举二例例1 复数z_1,z_2满足|z_1|=|z_1+z_2|=3,|z_1-z_2|=3 3~(1/2),求z_1/z_2之值。分析此题用复数的代数式三角式求解很困难,题设条件是一系列模的式了,因此很容易想到模的几何意义。下面用几何法求解此题。先将条件转化为有明显几何意义的式子。
In addition to the discussion of the positions of the points to be noted in the figures of a few, several, and several solutions, we must also pay attention to the discussion of the positions of the points in complex geometry. Let us now take two examples 1 plural z_1, z_2 satisfy |z_1|=|z_1 +z_2|=3,|z_1-z_2|=3 3~(1/2), find the value of z_1/z_2. It is very difficult to analyze this problem by using a complex algebraic trigonometric equation. The condition is a series of modes, so it is easy to think of the geometric meaning of the mode. The following is a geometric method to solve this problem. First convert the conditions into formulas that have obvious geometric meanings.