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1、 高三总复习 数学 (大纲版)第五节 三角函数的图象 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.高三总复习 数学 (大纲版)Evaluation only.Evaluation on
2、ly. 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.高三总复习 数学 (大纲版)考纲 要 求了解正弦函数、余弦函数、正切函数的图 象，会用“五点法”画出正弦函数、余弦函 数和函数yAsin(x)的简图，理解 A，的物理意义考试 热 点三角函数的图象是
3、三角函数概念和性质的 直观形象的反映，高考对这部分内容的 考查主要是三角函数图象的变换和解析 式的确定以及通过图象的描绘、观察讨 论函数的有关性质，常以选择题 的形式 出现，偶尔也有出现解答题的可能，属 比较容易的题.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
4、Ltd.Copyright 2004-2011 Aspose Pty Ltd.高三总复习 数学 (大纲版)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.高三总复习 数学 (大纲版)1三角
5、函数的图象函 数ysinxycosxytanx图 象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.高三总复习 数学 (大纲版)2.振幅、周期、频率、相位等相关概念(1)当函数yAsin(
6、x)(A0，0，x(，)表示一个振动量时，则 叫做振幅，T 叫做周期，f 叫做频率， 叫做相位， 叫做初相(2)函数yAcos(x)的周期为 .(3)函数yAtan(x)的周期为 .AxEvaluation 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
7、04-2011 Aspose Pty Ltd.高三总复习 数学 (大纲版)3对称性(1)正弦函数ysinx的对称轴为，对称中心为 (2)余弦曲线ycosx的对称轴为 ，对称中心为 (3)正切函数ytanx的图象的对称中心为 ，无对称轴(k，0) (kZ) xk(kZ)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. Copyri
8、ght 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.高三总复习 数学 (大纲版)4图象变换函数yAsin(x)(A0，0)的图象可由函数ysinx的图象作如下变换得到：(1)相位变换：ysinxysin(x)，把ysinx的图象上所有的点向 (0)或向 (1)到原来的 倍(纵坐标不变)左右|伸长 缩短Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with As
9、pose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.高三总复习 数学 (大纲版)(3)振幅变换：ysin(x)yAsin(x)，把ysin(x)的图象上各点的纵坐标 (A1)或 (00，0)的部分图象如图1所示，则下列正确的是 ( )图1Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile
10、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.高三总复习 数学 (大纲版)解析：由图1知A2，T4，则4， 0，所以函数f(x)的解析式是答案：AEvaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with
11、 Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.高三总复习 数学 (大纲版)3函数y|tanx|，ytanx，ytan(x)，ytan|x|在上的大致图象依次是 ( )图2Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.
12、Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.高三总复习 数学 (大纲版)A BC D解析：由图可知，该函数是偶函数，且函数值非负，故应为y|tanx|；图为ytanx的图象；图为偶函数图象，应为ytan|x|；图与ytanx的图象关于y轴对称，应为ytan(x)的图象故顺序应为.答案：BEvaluation only.Evaluation only. Created with Aspose.Slides for
13、.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.高三总复习 数学 (大纲版)Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slid
14、es for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.高三总复习 数学 (大纲版)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 2004-2
15、011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.高三总复习 数学 (大纲版)答案：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.高三总复习 数学 (大纲版)(1)写出函数的解析式； 图3Evaluation only.Evaluati
