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1、几几 何何 概概 型型Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides
2、 for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.(1) 从，共个数字中任取一个数字，取出的数字为偶数的概率.求下列随机事件发生的概率.古典概型的两个特点: 等可能性：每个基本事件出现的可能性相等. 有限性：试验中所有可能出现的基本事件只有有限个.计算公式： 94Evaluation only.Evalua
3、tion only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.
4、0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.实验：进行抛掷小豆子的实验如图，有一个由红绿蓝三如图，有一个由红绿蓝三色构成的彩色圆盘，向圆盘内随色构成的彩色圆盘，向圆盘内随 机抛掷豆子（落在圆盘外的不算机抛掷豆子（落在圆盘外的不算 ）. . 提问提问1 1：这个问题是不是古典概型：这个问题是不是古典概型 的问题？的问题？ 提问提问2 2：你猜想：你猜想豆子豆子落在红色
5、区域内的概落在红色区域内的概 率是多少？率是多少？Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with
6、 Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.记记“小豆子落在红红色区域”为为事件A，猜想：P（A）=探究、实验、猜想探究、实验、猜想Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.
7、5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Clien
8、t Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.无限性：试验中可能出现的结果有无限个；等可能性：发生每一种结果的可能性相同。几何概型的特征性质：如何求解它的概率呢？Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.
9、2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose P
10、ty Ltd.几何概型的定义及计算公式:事件A理解为区域 的某一子区域A，A的概 率只与子区域A的几何度量（长度、面积或体积） 成正比，而与A的位置和形状无关满足以上条件的 试验称为几何概型 其中区域A的几何度量（长度、面积或体积 )P(A)=区域 的几何度量（长度、面积或体积)Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.
11、Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.
12、例如图示，在边长为a的正方形围栏内均匀散布着米粒，一小鸡在其中随意啄食，此刻小鸡正在正方形内切圆中的概率是_.典例讲解： 4面积型事件A是“正方形内切圆的面积”则例如图示，在边长为a的正方形围栏内均匀散布着米粒，一小鸡在其中随意啄食，此刻小鸡正在正方形内切圆中的概率是_.解：区域 是“正方形的面积”；Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profil
13、e 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspo
14、se Pty Ltd.1、一海豚在水池中自由游弋，水池为长30 m，宽20 m的长方形，求此刻海豚嘴尖离岸边不超过2 m的概率 . 解：区域是长30 m、宽20 m的长方形.练习 ：图中阴影部分表示事件A：“海豚嘴尖离 岸边不超过2 m”，区域的面积为3020=600(m2)，阴影A的面积为30202616=184(m2).Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 C
15、lient Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 20
16、04-2011 Aspose Pty Ltd.例2、在1000mL的水中有一个草履虫，现从中取出2mL水样放到显微镜下观察，发现草履虫的概率.与体积成比例0.0023、在10立方米的沙子中藏有一个玻璃球，取出1立方米的沙子，则取出的沙子中含有玻璃球的概率?体积型Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Clie
