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1、 三角函数的诱导公式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.基础知识回顾与梳理1、与的终边 相同的角为（其三角函数与的三角函数关系怎样？ ），这两个角的终边 不是在一起吗？（诱导公
2、式1 ）的三角函 数关系如何？与（）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.基础知识回顾与梳理的三角函数关系怎样？2、与的终边 关于 轴、原点对称的终边轴、 所在角的三角函数与（公
3、式2 ）（公式3 ）（公式4)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.基础知识回顾与梳理3、若为锐 角，若为任意角，则上面等式成立吗？，与公式1、2、3、 4有不同吗？（公式5)试
4、想：？，？ 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.基础知识回顾与梳理4、请推导、.（公式6)思考：公式5、6与公式1、2、3、4的区别 是否有规律？如何理解和记忆呢？Evalua
5、tion 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.基础知识回顾与梳理5、化简：（1）（2）小贴士提醒：诱导公式使用（1）观察是否为/2的奇数倍？（2）去掉整数倍个周期（3）将看成锐角，如30度（4）看整
6、体角在哪个象限，决定符号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.诊断练习题1 、的值是 _ 题2、化简：= _ 题3、若=，则= _ 思考：你能归纳一 下题3处理方法有 哪些？0E
7、valuation 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.题4、化简：= _诊断练习1逐项化简，注意 名称？ 符号？Evaluation only.Evaluation only. Created w
8、ith 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.范例导析例1、求值： （1）（2）（1）角较大怎么办？（2）出现负角怎么处理？Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5
9、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.例2、已知关于角的函数求范例导析判别两种做题次序的，更倾向于哪个？ 先化简再求值是我们常规的解题过程。Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.
10、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.范例导析例3、已知求的值，（1）你遇到，求或时，应当观察些什么？ 问题从角上观察， 所求角与已知角的关系：， +角名式Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created
11、 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.例3、已知求的值值，问题（2）所求角的三角函数是否可以都可 以表示为？ 范例导析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
12、.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.问题（3）从上分析可知：需作些怎样的变形？例3、已知求的值值，范例导析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. Copyrigh
13、t 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.解题反思1、熟记诱导公式：对于 有口诀：“函数名相同，符号看象限”， 所谓“符号看象限”，即将看成锐角， 所在象限的原三角函数的值的符号。，角，的诱导公式的记忆规律是2、“函数名改变，符号看象限”，“函数名改变” 即变为原来的余函数，“符号看象限”即将看作是“锐角”后， 原三角函数的符号。所在象限的Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile
14、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.任意负角的三角函数任意正角的三角函数02的角的三角函数锐角三角函数3、利用诱导公式把任意的三角函数转化为 锐角三角函数的基本步骤是：4、处理三角函数问题需从角、名、式三个方面考虑 ，运用整体代换法、去繁为简、未知问题化为已知 问题的思想方法。Evaluation only.Evaluation only. Crea
15、ted 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.五、当堂反馈1.若，则= .2.= .3.化简:= .4.若,给出如下各式:其中，与相等的有 （将所有正确的序号填上）。 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.
