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单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,第二章 圆锥曲线与方程,(选修1-1),人教,B,版数学,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,1知识与技能,掌握椭圆的几何图形及简单几何性质，能根据这些几何性质解决一些简单问题，从而培养学生分析、归纳、推理的能力,2过程与方法,通过数形结合、观察分析、归纳出椭圆的几何性质，进一步体会数形结合的思想，掌握利用方程研究曲线性质的基本方法,3情感、态度与价值观,通过本节的学习，使学生进一步体会曲线与方程的对立关系，感受坐标法在研究几何图形中的作用,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,本节重点：利用椭圆的标准方程研究椭圆的几何性质,本节难点：椭圆的几何性质的实际应用,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,1根据曲线的方程，研究曲线的几何性质，并正确地画出它的图形，是解析几何的基本问题之一本节就是根据椭圆的标准方程来研究它的几何性质其性质可分为两类：一类是与坐标系无关的本身固有性质，如长短轴长、焦距、离心率；一类是与坐标系有关的性质，如顶点、焦点,2根据椭圆几何性质解决实际问题时，关键是将实际问题转化为数学问题，建立数学模型，用代数知识解决几何问题，体现了数形结合思想、函数与方程及等价转化的数学思想方法,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,1椭圆的简单几何性质,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,焦点的位置,焦点在,x,轴上,焦点在,y,轴上,范围,顶点,A,1,(,a,0)、,A,2,(,a,0),A,1,(0，,a,)、,A,2,(0，,a,),轴长,短轴长,，长轴长,.,焦点,焦距,|,F,1,F,2,|,.,对称性,对称轴,，对称中心,.,离心率,e,a,x,a,且,b,y,b,b,x,b,且,a,y,a,B,1,(0，,b,)、,B,2,(0，,b,),B,1,(,b,0)、,B,2,(,b,0),2,b,2,a,F,1,(,C,0)，,F,2,(,C,0),F,1,(0，,C,)，,F,2,(0，,C,),x,轴、,y,轴,(0,0),2,c,(0,e,0)，则此椭圆的离心率为(),答案,B,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,已知椭圆,E,的短轴长为6，焦点,F,到长轴的一个端点的距离等于9，则椭圆,E,的离心率等于(),答案,B,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,(2010广东文，7)若一个椭圆长轴的长度、短轴的长度和焦距成等差数列，则该椭圆的离心率是(),答案,B,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,例5已知,F,1,、,F,2,是椭圆的两个焦点，,P,为椭圆上一点，,F,1,PF,2,60.求椭圆的离心率的取值范围,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,说明已知直线的斜率，常设直线的斜截式方程，已知弦的长度，考虑弦长公式列方程，求参数,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,辨析,当2,m,0时，焦点坐标在,x,轴上；当,m,2时，焦点坐标在,y,轴上,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,一、选择题,1椭圆的一个顶点与两焦点组成等边三角形，则它的离心率,e,为(),答案,A,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,2椭圆的对称轴是坐标轴，长轴长为6，焦距为4，则椭圆的方程为(),Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,答案,C,解析,长轴长为6，,2,a,6，,a,3，焦距2,c,4，,c,2，,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,A有相等的长、短轴,B有相等的焦距,C有相同的焦点,D,x,、,y,有相同的取值范围,答案,B,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,解析,0,k,9，,09,k,9,1615,k,25，,25,k,9,k,16，,故两椭圆有相等的焦距,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,4椭圆的一个顶点和两个焦点构成等腰直角三角形，则此椭圆的离心率为(),答案,C,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,二、填空题,5椭圆25,x,2,y,2,25的长轴长为_，短轴长为_，焦点坐标为_，离心率为_,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,三、解答题,|,PF,1,|,PF,2,|2,a,20.,又|,PF,2,|3|,PF,1,|，,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,|,PF,1,|5，|,PF,2,|15.,由两点间的距离公式可得,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Evaluation only.,Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,
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