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1、南阳市十一中一年级数学学科导学2011/6/17编制人:钟秀旺同角三角函数的基本关系式(第二课时)教学目的:通过运用公式的训练过程,培养学生解决三角函数求值、化简、恒等式证明的解题技能,提高运用公式的灵活性;教学重点:同角三角函数的基本关系.教学难点:(1)已知某角的一个三角函数值,求它的其余各三角函数值时正负号的选择;(2)三角函数式的化简;(3)证明三角恒等式.学习过程:一、复习引入:同角三角函数的基本关系公式:二、讲解范例:例1已知例2求证:otherstaffoftheCentre.Duringthewar,Zhuwas
2、transferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesM
3、inister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand-5-南阳市十一中一年级数学学科导学2011/6/17编制人:钟秀旺例3已知是方程的两根().求值:例4已知,求例5消去式子中的例6已知三、、课堂练习:1.已知cot=2,求α的其余三个三角函数值.otherstaffoftheCentre.Duringthewar
4、,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenter
5、prisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand-5-南阳市十一中一年级数学学科导学2011/6/17编制人:钟秀旺2.已知:且,试用定义求的其余三个三角函数值.3.已知角的终边在直线y=3x上,求sin和cos的值.四.课堂练习1.已知,,则等于()A.B.C.D.2.若,则的值是()A.-2B.
6、2C.±2D.3.化简otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeen
7、theNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand-5-南阳市十一中一年级数学学科导学2011/6/17编制人:钟秀旺4.化简,其中为第二象限角.5.已知,求的值.6.已知是三角形的内角,,求值.othersta
8、ffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingi