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单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,义务教育课程标准实验教科书,九年级 上册,湖南教育出版社,4.1正弦与余弦,双牌一中 龚载辉,如何求,sin50,的值?,做法,画一个直角三角形,ABC,,使得,A=,50,,量出,A,的对边,BC,的长度为,3cm,,斜边,AB,的长度为,3.9cm,则,不足:,角的大小、线段的长度都有测量误差,因此精确度不太高,且费时间,效率低,新设想,用计算器求,B,C,A,50,动脑筋,用计算器求锐角的,正弦值和余弦值,要用到两个键,:,例如,求,sin16,0,cos42,0,sin,cos,按键的顺序,显示结果,Sin,16,0,Cos,42,0,sin,1,6,0.275 637 355,cos,4,2,0.743 144 825,=,=,由于计算器的型号与功能的不同,按相应的说明书使用,.,1,用计算器求锐角的正弦值和余弦值(精确到,0.0001,):,(),(),0.7660,0.9397,0.2588,(),0.6428,0.3420,0.9659,2,用计算器求锐角的正弦值和余弦值(精确到,0.0001,),如何用计算器求,呢?,操作,由于,1,=,60,,因此,从而用计算器去求,,就得到它的值,0.4772,0.4571,0.8894,如果已知,sin,0.3688,,如何用计算器求锐角,?,关键是要先按计算器左上角的,“,SHIFT,”,键(有的型号的计算器写的是,“,2ndf,”,键),3,已知正弦值或余弦值,用计算器求相应的锐角,(精确到,1,),5546,815,7052,2041,(,1,),sin,0.8268,,则,(,2,),sin,0.1436,,则,(,3,),cos,0.3279,,则,(,4,),cos,0.9356,,则,分析,操作,2ndf,Sin,0,.,9,8,1,6,=,Sin,-1,=0.9816,=78.991 840 39,按键的顺序,显示结果,Sin,A,=0.9816,例题,1,用计算器求下列锐角的正弦值和余弦值(精确到,0.0001,):,0.9272 0.3746,0.9994 0.0349,0.1564 0.9877,0.5045 0.8634,0.9715 0.2368,0.1673 0.9859,0.9900 0.1409,0.5736 0.3746,35,68,88,9,3018,7618,938,8153,角度,(,),练 习,2,已知正弦值或余弦值,用计算器求相应的锐角,(精确到,1,),614,6921,4455,8159,1822,5853,(,1,),sin,0.1087,,则,(,5,),sin,0.3152,,则,(,3,),cos,0.7081,,则,(,4,),cos,0.1396,,则,(,2,),sin,0.9358,,则,(,6,),cos,0.5168,,则,练 习,3,如图:小亮沿与地平面成,32,18,的上坡走了,80,米,那么他上升了多少米(精确到,1,米),B,C,A,3218,AB=,80,米,,A=,3218,练 习,如图,是亮亮沿与地面成角 的山坡向上走了,90,米,如果,那么他上升了多少米。,课堂检测,C,A,B,(,分析:,90,米,?,布置作业,P107 A T8,P107 B T1T8,
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