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《高一数学必修正弦函数余弦函数的图象ppt课件.ppt》由会员上传分享,免费在线阅读,更多相关内容在教育资源-天天文库。
1、1.4三角函数的图象与性质1.4.1正弦函数、余弦函数的图象Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.2.任意给定一个实数x,对应的正弦值(sinx)、余弦值(cosx)是否存在?惟一?问题提出1.在单位圆
2、中,角α的正弦线、余弦线分别是什么?P(x,y)OxyMsinα=MPcosα=OMEvaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.正、余弦函数的图象Evaluationonly.CreatedwithAspos
3、e.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.知识探究(一):正弦函数的图象思考1:作函数图象最原始的方法是什么?思考2:用描点法作正弦函数y=sinx在[0,2π]内的图象,可取哪些点?思考3:如何在直角坐标系中比较精确地描出这些点,并画出y=sinx在[0,2π]内的
4、图象?Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.xy1-1O2ππ思考4:观察函数y=sinx在[0,2π]内的图象,其形状、位置、凸向等有何变化规律?Evaluationonly.CreatedwithA
5、spose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.思考5:在函数y=sinx,x∈[0,2π]的图象上,起关键作用的点有哪几个?x-1O2ππ1yEvaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfil
6、e5.2.0.0.Copyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.思考6:当x∈[2π,4π],[-2π,0],…时,y=sinx的图象如何?y-1xO1π2π3π4π5π6π-2π-3π-4π-5π-6π-πEvaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.C
7、opyright2004-2011AsposePtyLtd.Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2004-2011AsposePtyLtd.思考7:函数y=sinx,x∈R的图象叫做正弦曲线,正弦曲线的分布有什么特点?y-1xO1π2π3π4π5π6π-2π-3π-4π-5π-6π-πEvaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile5.2.0.0.Copyright2
8、004-2011Aspo
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