1—1复数与复平面.ppt

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解: Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. §2 复数的几何表示 1. 点的表示 横坐标轴称为实轴,纵坐标轴称为虚轴;复平面一般称为z-平面,w-平面等。 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 2. 向量表示法 o x y (z) P(x,y) x y ? z=0时,幅角无意义。 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 幅角无穷多:Arg z=θ=θ0+2kπ, k∈Z, Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 当z落于一,四象限时,不变。 当z落于第二象限时,加p。 当z落于第三象限时,减p . Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 根据向量的运算及几何知识,我们可以得到两个重要的不等式 o x y (z) z1 z2 z1+z2 o x y (z) z1 z2 z2- z1 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 3. 三角表示法 可以用复数的模与辐角来表示非零复数z 4. 指数表示法 y o x Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 例1 例2 例3 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 例1 解: Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 例2 解: Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 例2 解: Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 例3 证明: Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 例3 证明: Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. §3 复数的乘幂与方根 1. 复数的乘积与商 利用复数的三角表示,我们可以更简单的表示复数的乘法与除法 集合相等 定理: Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Pr

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