2021年人教版数学必修四三角函数复习讲义.pdf
第一讲 任意角与三角函数诱导公式1.知识要点角的概念的推广：平面内一条射线绕着端点从一个位置旋转到另一个位置所的图形。按逆时针方向旋转所形成的角叫正角，按顺时针方向旋转所形成的角叫负角，一条射线没有作任何旋转时，称它形成一个零角。射线的起始位置称为始边，终止位置称为终边。象限角的概念：在直角坐标系中，使角的顶点与原点重合，角的始边与x轴的非负半轴重合，角的终边在第几象限，就说这个角是第几象限的角。如果角的终边在坐标轴上，就认为这个角不属于任何象限。终边相同的角的表示：终 边 与终 边 相 同(的 终 边 在终 边 所 在 射 线上)2()kkZ。注意：相等的角的终边一定相同，终边相同的角不一定相等.终边在x轴上的角可表示为：,kkZ；终边在y轴上的角可表示为：,2kkZ；终边在坐标轴上的角可表示为：,2kkZ.角 度 与 弧 度 的 互 换 关 系：360=2180=1=0.01745 1=57.30=5718注意：正角的弧度数为正数，负角的弧度数为负数，零角的弧度数为零.与2的终边关系：任意角的三角函数的定义:设是任意一个角，P(,)x y是的终边上的任意一点（异于原点），精品w o r d 可编辑资料-第 1 页，共 31 页-它与原点的距离是220rxy，那么sin,cosyxrr，tan,0yxx，cotxy(0)y，secrx0 x，csc0ryy。三角函数值 只与角的大小有关，而与终边上点P的位置无关。三角函数线的特征：正弦线 MP“站在x轴上(起点在x轴上)”、余弦线OM“躺在x轴上(起点是原点)”、正切线 AT“站在点(1,0)A处(起点是A)”同角三角函数的基本关系式：1.平方关系：222222sincos1,1tansec,1cotcsc2.倒数关系：sin csc=1,cos sec=1,tan cot=1,3.商数关系：sincostan,cotcossin注意：1.角的任意性。2.同角才可使用。3.熟悉公式的变形形式。三角函数诱导公式：“（2k）”记忆口诀:“奇变偶不变，符号看象限”典型例题例 1求下列三角函数值：（1）cos210o；(2)sin45例 2求下列各式的值：（1）sin(34)；(2)cos(60o)sin(210o)精品w o r d 可编辑资料-第 2 页，共 31 页-文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8例 3化简)180sin()180cos()1080cos()1440sin(例 4已知 cos(+)=21，23 a bB.a b c C.a c bD.b c a18.若是第四象限角，则是（）A 第一象限B.第二象限C.第三象限期D.第四象限19.若0cos3sin，则sin3cos2sin2cos的值为.20.sin49tan37=_精品w o r d 可编辑资料-第 6 页，共 31 页-文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U821.若是第二象限的角，则2是第象限的角。22.若 角的终边与85角的终边相同，则在0,2上终边与4的角终边相同的角为；23.终边在x轴上的角的集合为，终边在y轴上的角的集合为，终边在坐标轴上的角的集合为。24.已知xxxf11)(，若，2，求)cos()(cosff的值。25.已知21)sin(，求cos)cot()2sin(的值.26.已知：21cossin，求33cossin和44cossin的值。精品w o r d 可编辑资料-第 7 页，共 31 页-文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U827.若 cos 23，是第四象限角，求sin(2)sin(3)cos(3)cos()cos()cos(4)的值第二讲 三角函数的图像与性质函数sinyxcosyxtanyx精品w o r d 可编辑资料-第 8 页，共 31 页-文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U81函数BxAy)sin(），（其中00A最大值是BA，最小值是AB，周期是2T，频率是2f，相位是x，初相是；其图象的对称轴是直线)(2Zkkx，凡是该图象与直线By的交点都是该图象的对称中心。2 由 ysinx 的图象变换出 ysin(x)的图象一般有两个途径，只有区别开这两个途径，才能灵活进行图象变换。3由 yAsin(x)的图象求其函数式：4五点法作 y=Asin（x+）的简图：典例解析例 1（2000全国，5）函数 yxcosx 的部分图象是（）图象定义域RR|,2x xkkZ值域 1,1 1,1R奇偶性奇函数偶函数奇函数最小正周期22T；22T；T；对称轴,2xkkZ,xkkZ无对称(,0),kkZ(,0),2kkZ(,0),2kkZ单调递2,2,22kkkZ2,2,kkkZ(,),22kkkZ单调递32,2,22kkkZ2,2,kkkZ无精品w o r d 可编辑资料-第 9 页，共 31 页-文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8例 2试述如何由 y=31sin（2x+3）的图象得到 y=sinx 的图象。例 3（2003 上海春，15）把曲线 ycosx+2y1=0 先沿 x 轴向右平移2个单位，再沿 y 轴向下平移 1 个单位，得到的曲线方程是（）A（1y）sinx+2y3=0 B（y1）sinx+2y3=0 C（y+1）sinx+2y+1=0 D(y+1)sinx+2y+1=0 例 4（2003 上海春，18）已知函数 f（x）=Asin（x+）（A0，0，xR）在一个周期内的图象如图所示，求直线 y=3与函数 f（x）图象的所有交点的坐标。精品w o r d 可编辑资料-第 10 页，共 31 页-文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8例 5（1）已知 f（x）的定义域为 0，1，求 f（cosx）的定义域；（2）求函数 y=lgsin（cosx）的定义域；精品w o r d 可编辑资料-第 11 页，共 31 页-文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 HN8F3J2H9G4 ZA7T4M6O1U8文档编码:CY8X8T5O7I8 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