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1、名师精编优秀教案1.2.2 任意角的三角函数（1）【学习目标】1 掌握任意角三角函数的定义，并能借助单位圆理解任意角三角函数的定义2 会用三角函数线表示任意角三角函数的值3 掌握正弦、余弦、正切函数的定义域和这三种函数的值在各象限的符号【学习重点、难点】任意角的正弦、余弦、正切的定义【自主学习】一、复习旧知，导入新课在初中，我们已经学过锐角三角函数：角的范围已经推广，那么对任意角是否也能定义其三角函数呢？二、建构数学1在平面直角坐标系中，设点P是角终边上任意一点，坐标为(,)P x y,它与原点的距离22|OPxyr，一般地，我们规定：比值 _叫做的正弦,记作 _,即_=_；比值 _叫做的余弦
2、,记作 _,即_=_；比值 _叫做的正切,记作 _,即_=_.2.当=_ 时,的 终 边 在y轴 上,这 时 点P的 横 坐 标 等 于_,所以 _无意义.除此之外,对于确定的角,上面三个值都是_.所以,正弦、余弦、正切都是以 _为自变量,以 _为函数值的函数,我们将它们统称为_.3.由于 _ 与_ 之间可以建立一一对应关系,三角函数可以看成是自变量为_的函数.4.其中，sinyx和cosyx的定义域分别是_；而tanyx的定义域是 _.名师精编优秀教案5 根 据 任 意 角 的 三 角 函 数 定 义 将 这 三 种 函 数 的 值 在 各 象 限 的 符 号 填 入 括 号。ysinyco
3、sytan【典型例题】例 1已知角的终边经过点4,3P，求的正弦、余弦、正切的值。变题 1 已知角的终边经过点4,30Paaa，求的正弦、余弦、正切的值。变题 2 已知角的终边经过点6,xP，且135cos，求x的值文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 H
4、W6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9
5、HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9
6、 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y
7、9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6
8、Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O
9、6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5
10、O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9名师精编优秀教案例 2已知角的终边在直线xy3上，求的正弦、余弦、正切的值例 3确定下列三角函数值的符号：（1）127cos（2）465sin（3）311tan（4）5tan4cos3sin例 4若ABC两内角A、B满足sincos0AB，判断三角的形状。文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5
11、O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K
12、5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10
13、K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X1
14、0K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X
15、10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10
16、X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK1
17、0X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9名师精编优秀教案【巩固练习】1、已知角 的终边过点P（1,2）,cos的值为2、是第四象限角，则下列数值中一定是正值的是AsinBcosCtanDtan13、填表：030456090120135150180270360弧度sincostan4、已知角的终边过点P（4a,3
18、a）（a0）,则 2sincos 的值是5、若点 P(3，)是角终边上一点，且32sin，则的值是6、是第二象限角，P（x,5）为其终边上一点，且 cos=42x，则 sin的值为 _【课堂小结】【布置作业】文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7
19、U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H
20、7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6
21、H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW
22、6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 H
23、W6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9
24、HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9文档编码:CK10X10K5O6Y9 HW6H7U1H7Z4 ZS6A6P9M10A9