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1、素诚教育高中数学素质、诚实用常识提升知识，以教养凸显文化。素诚教育1 SCE金牌数学专题系列 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为角终边上任意一点，那么：（设22rxy）sinyr，cosxr，tanyx，cotxy3、sin，cos，tan在四个象限
2、的符号和三角函数线的画法.正弦线：MP;余弦线：OM;正切线：AT5、特殊角 0，30 45，60，90，180，270 等的三角函数值.0 64322334322sincostan 1.2.2、同角三角函数的基本关系式1、平方关系：1cossin222、商数关系：cossintan.3、倒数关系：tancot1专题：三角函数TMAOPxy素诚教育高中数学素质、诚实用常识提升知识，以教养凸显文化。素诚教育2 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,cos
3、cos,sinsin3、诱导公式三：.tantan,coscos,sinsin4、诱导公式四：.tantan,coscos,sinsin5、诱导公式五：.sin2cos,cos2sin6、诱导公式六：.sin2cos,cos2sin1.4.1、正弦、余弦函数的图象和性质1、记住正弦、余弦函数图象：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0,2 x上的五个关键点为：30 010-12022（，）（，）（，）（，）（，）.1-1y=cosx-32-52-727252322-2-4-3-243
4、2-oyx1-1y=sinx-32-52-727252322-2-4-3-2432-oyx文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编
5、码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N
6、3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P
7、3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H
8、4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V
9、1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F
10、10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8文档编码:CD3N3K3M4P3 HB5H4I9F6V1 ZI4F10S8C10U8素诚教育高中数学素质、诚实用常识提升知识，以教养凸显文化。素诚教育3 y=ta
11、nx322-32-2oyxy=cotx3222-2oyx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maxmin2,122,12xkkZyxkkZy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)(2k1.4.3、正切函数的图
12、象与性质1、记 住 正切 函 数 的图象2、记 住 余切 函 数 的 图象：3、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.文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 H
13、T3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4
14、V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 H
15、T3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4
16、V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 H
17、T3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4
18、V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1素诚教育高中数学素质、诚实用常识提升知识，以教养凸显文化。素诚教育4 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
19、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：sinyx平移|个单位sinyx（左加右减）横坐标不变sinyAx纵坐标变为原来的A 倍纵坐标不变sinyAx横坐标变为原来的1|倍平移|B个单位sinyAxB（上加下减）先伸缩后平移：sinyx横坐标不变sinyAx纵坐标变为原来的A 倍纵坐标不变sinyAx横坐标变为原来的1|倍平移个单位sinyAx（左加右减）平移|B个单位sinyAxB（上加下减）3、三角函数的周期，对称轴和对称中心函数sin()yx，xR及函数cos()yx，xR(A,为常数，且A0)的周期2|T；函数tan()yx，,2xkkZ(
20、A,为常数，且A 0)的周期|T.对于sin()yAx和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（要求熟悉课本例题.）文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5
21、M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3
22、 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5
23、M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3
24、 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5
25、M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3
26、 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5
27、M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1素诚教育高中数学素质、诚实用常识提升知识，以教养凸显文化。素诚教育5 3.1.1、两角差的余弦公式记住 15的三角函数值：sincostan12426426323.1.2、两角和与差的正弦、余弦、正切公式1、sincoscossinsin2、sincoscossinsin3、sinsincoscoscos4、sinsincoscoscos5、tantan1 tan tantan.6、tantan1 tan tantan.3.1.3、二倍角的正弦、余弦、正切公式1、cossin22sin，2、22sincos
28、2cos变形：12sincossin2.1cos222sin21.升幂公式：221cos22cos1cos22sin降幂公式：221cos(1cos2)21sin(1 cos2)23、2tan1tan22tan.4、sin 21cos2tan1cos2sin23.2、简单的三角恒等变换1、注意 正切化弦、平方降次.2、辅助角公式)sin(cossin22xbaxbxay（其 中 辅 助 角所 在 象 限 由 点(,)a b的 象 限 决定,tanba).文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP
29、4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C
30、3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP
31、4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C
32、3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP
33、4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C
34、3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP
35、4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1素诚教育高中数学素质、诚实用常识提升知识，以教养凸显文化。素诚教育6 解三角形1、正弦定理：RCcBbAa2sinsinsin.（其中R为ABC外接圆的半径）2sin,2sin,2sin;aRA bRB cRCsin,sin,sin;222abcABCRRR:sin:sin:sin.a b cABC用途：已知三角形两角和任一边，求其它元素；已知三角形两边和其中一边的对角，求其它元素。2、余弦定理：2222222222cos,2cos,2cos.abcbcAbacacBcababC222222222
36、cos,2cos,2cos.2bcaAbcacbBacabcCab用途：已知三角形两边及其夹角，求其它元素；已知三角形三边，求其它元素。做题中两个定理经常结合使用.3、三角形面积公式：BacAbcCabSABCsin21sin21sin214、三角形内角和定理：在 ABC中，有()ABCCAB222CAB222()CAB.5、一个常用结论：在ABC中，sinsin;abABAB若sin 2sin2,.2ABABAB则或特别注意，在三角函数中，sinsinABAB不成立。文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M
37、6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编
38、码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M
39、6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编
40、码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M
41、6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编
42、码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M
43、6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1素诚教育高中数学素质、诚实用常识提升知识，以教养凸显文化。素诚教育7 链接高考一、选择题1.【2012 高考安徽文7】要得到函数)12cos(xy的图象，只要将函数xy2cos的图象（A）向左平移1 个单位（B）向右平移1 个单位（C）向左平移12个单位（D）向右平移12个单位2.【2012 高考新课标文9】已知 0，0，直线4x和45x是函数f(x)=sin(x+)图像的两条相邻的对称轴，则=（A）4（B）3（C）2（D）343.【2012 高考山东文8】函数2sin(09)63
44、xyx的最大值与最小值之和为(A)23(B)0(C)1(D)134.【2012 高考全国文3】若函数()sin(0,2)3xf x是偶函数，则（A）2（B）32（C）23（D）355.【2012 高考全国文4】已知为第二象限角，3sin5，则sin2（A）2524（B）2512（C）2512（D）25246.【2012 高考重庆文5】sin 47sin17 cos30cos17oooo（A）32（B）12（C）12（D）327.【2012 高考浙江文6】把函数y=cos2x+1 的图象上所有点的横坐标伸长到原来的2 倍（纵坐标不变），文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 Z
45、P4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9
46、C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 Z
47、P4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9
48、C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 Z
49、P4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9
50、C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 ZP4M3D5M4V1文档编码:CL5Q9C3S6J3 HT3Z8M6G6S7 Z