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当前位置：首页 > 教育专区 > 高考资料 > 2022年人教版高中数学知识点总结：新课标人教A版高中数学必修4知识点总结知识讲解 .pdf

2022年人教版高中数学知识点总结：新课标人教A版高中数学必修4知识点总结知识讲解 .pdf

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1、人教版高中数学知识点总结：新课标人教A 版高中数学必修 4知识点总结精品文档收集于网络，如有侵权请联系管理员删除高中数学必修 4 知识点总结第一章：三角函数 1.1.1、任意角1、正角、负角、零角、象限角的概念.2、与角终边相同的角的集合：Zkk,2.1.1.2、弧度制1、把长度等于半径长的弧所对的圆心角叫做1 弧度的角.2、rl.3、弧长公式：RRnl180.4、扇形面积公式：lRRnS213602.1.2.1、任意角的三角函数1、设是一个任意角，它的终边与单位圆交于点yxP,，那么：xyxytan,cos,sin2、设点,A xy为角终边上任

2、意一点，那么：（设22rxy）sinyr，cosxr，tanyx，cotxy3、sin，cos，tan在四个象限的符号和三角函数线的画法.正弦线：MP;余弦线：OM;正切线：AT4、特殊角 0，30，45，60，90，180，270 等的三角函数值.0 64322334322sincostanTMAOPxy文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X

3、6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4

4、D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4

5、U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L

6、7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5

7、E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:C

8、C4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ7L7X6E7W5 ZL9T5E4D10L8文档编码:CC4U2M3Q4D4 HQ

9、7L7X6E7W5 ZL9T5E4D10L8精品文档收集于网络，如有侵权请联系管理员删除 1.2.2、同角三角函数的基本关系式1、平方关系：1cossin22.2、商数关系：cossintan.3、倒数关系：tancot1 1.3、三角函数的诱导公式（概括为“奇变偶不变，符号看象限”Zk）1、诱导公式一：.tan2tan,cos2cos,sin2sinkkk（其中：Zk）2、诱导公式二：.tantan,coscos,sinsin3、诱导公式三：.tantan,coscos,sinsin4、诱导公式四：.tantan,coscos,sinsin5、诱导公式五：.sin2cos,cos2sin6、

10、诱导公式六：.sin2cos,cos2sin 1.4.1、正弦、余弦函数的图象和性质1、记住正弦、余弦函数图象：1-1y=sinx-32-52-727252322-2-4-3-2432-oyx文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4

11、M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4

12、HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C

13、10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码

14、:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6

15、F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2

16、 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S

17、10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8精品文档收集于网络，如有侵权请联系管理员删除2、能够对照图象讲出正弦、余弦函数的相关性质：定义域、值域、最大最小值、对称轴、对称中心、奇偶性、单调性、周期性.3、会用五点法作图.sinyx在0,2x上的五个关键点为：30 010-12022（，）（，）（，）（，）（，）.1.4.3、正切函数的图象与性质1、记住正切函数的图象：y=tanx322-32-2oyx2、记住余切函数的图

18、象：y=cotx3222-2oyx3、能够对照图象讲出正切函数的相关性质：定义域、值域、对称中心、奇偶性、单调性、周期性.周期函数定义：对于函数xf，如果存在一个非零常数T，使得当 x 取定义域内的每一个值时，都有xfTxf，那么函数xf就叫做周期函数，非零常数T叫做这个函数的周期.1-1y=cosx-32-52-727252322-2-4-3-2432-oyx文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8

19、H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB

20、4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10

21、Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:C

22、W10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5

23、N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 Z

24、L9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10

25、H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8精品文档收集于网络，如有侵权请联系管理员删除图表归纳：正弦、余弦、正切函数的图像及其性质xysinxycosxytan图象定义域RR,2|Zkkxx值域-1,1-1,1 R最值maxmin2,122,12xkkZ

26、yxkkZy时，时，maxmin2,12,1xkkZyxkkZy时，时，无周期性2T2TT奇偶性奇偶奇单调性Zk在2,222kk上单调递增在32,222kk上单调递减在2,2kk上单调递增在2,2kk上单调递减在(,)22kk上单调递增对称性Zk对称轴方程：2xk对称中心(,0)k对称轴方程：xk对称中心(,0)2k无对称轴对称中心,0)(2k 1.5、函数xAysin的图象1、对于函数：sin0,0yAxB A有：振幅 A，周期2T，初相，相位x，频率21Tf.2、能够讲出函数xysin的图象与sinyAxB的图象之间的平移伸缩变换关系.先平移后伸缩：文档编码:CW10S9C10Y10F4

27、HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C

28、10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码

29、:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6

30、F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2

31、 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S

32、10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y1

33、0F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8精品文档收集于网

35、cos()yAx来说，对称中心与零点相联系，对称轴与最值点联系.求函数sin()yAx图像的对称轴与对称中心，只需令()2xkkZ与()xkkZ解出 x即可.余弦函数可与正弦函数类比可得.4、由图像确定三角函数的解析式利用图像特征：maxmin2yyA，maxmin2yyB.要根据周期来求,要用图像的关键点来求.1.6、三角函数模型的简单应用文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6

36、F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2

37、 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S

38、10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y1

39、0F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW1

40、0S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8

41、文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9

42、T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8精品文档收集于网络，如有侵权请联系管理员删除1、要求熟悉课本例题.第三章、三角恒等变换 3.1.1、两角差的余弦公式记住 15的三角函数值：sincostan1242642632 3.1.2、两角和与差的正弦、余弦、正切公式1、si

43、ncoscossinsin2、sincoscossinsin3、sinsincoscoscos4、sinsincoscoscos5、tantan1 tantantan.6、tantan1 tantantan.3.1.3、二倍角的正弦、余弦、正切公式1、cossin22sin，变形：12sincossin2.2、22sincos2cos1cos222sin21.变形如下：升幂公式：221cos22cos1cos22sin降幂公式：221cos(1cos2)21sin(1cos2)2文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10

44、Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:C

45、W10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5

46、N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 Z

47、L9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10

48、H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F

49、4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S

50、9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8文档编码:CW10S9C10Y10F4 HB4S10H4M8H2 ZL9T5W6F5N8精品文档收集于网络，如有侵权请联系管理员删除3、2tan1tan22tan.4、sin21c

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