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1、三角函数综合测试题一、选择题（每小题5 分，共 70 分）1 sin2100=A23B-23C21D-212是第四象限角，5tan12，则sinA15B15C513D5133.)12sin12(cos)12sin12(cosA23B21C21D234 已知 sin 53，sin2 0，则 tan 等于A43B43C43或43D545将函数sin()3yx的图象上所有点的横坐标伸长到原来的2 倍（纵坐标不变），再将所得的图象向左平移3个单位，得到的图象对应的僻析式是A1sin2yxB1sin()22yxC.1sin()26yxD.sin(2)6yx6.2tancotcosxxxAtan xBsi
2、n xC.c o sxD.cot x7.函数 y=xxsinsin的值域是A.0 B.-2,2 C.0,2 D.-2,0 8.已知 sincos81,且)2,0(，则 sin+cos的值为A.25B.-25C.25D.239.2(sincos)1yxx是精品资料-欢迎下载-欢迎下载 名师归纳-第 1 页，共 7 页 -A最小正周期为2的偶函数B最小正周期为2的奇函数C最小正周期为的偶函数D最小正周期为的奇函数10在)2,0(内，使xxcossin成立的x取值范围为A)45,()2,4(B),4(C)45,4(D)23,45(),4(11已知，函数y 2sin(x)为偶函数(0 )其图象与直线y
3、2 的交点的横坐标为x1，x2，若|x1x2|的最小值为，则A 2，2B 21，2C 21，4D 2，412.设5sin7a，2cos7b，2tan7c，则AabcBacbCbcaDbac13已知函数()sin(2)f xx的图象关于直线8x对称，则可能是A.2B.4C.4D.3414 函数 f(x)xxcos2cos1A在20，、,2上递增，在23,、2,23上递减B在20，、23，上递增，在,2、223，上递减C在，2、223，上递增，在20，、23，上递减D在23,、2,23上递增，在20，、,2上递减二.填空题（每小题5 分，共 20 分,）15.已知2,2，求使 sin=32成立的=
4、16sin15 cos75+cos15sin105=_ 17.函数 y=Asin(x+)(0,|2,xR)的部分图象如图，则函数表达式为精品资料-欢迎下载-欢迎下载 名师归纳-第 2 页，共 7 页 -文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T
5、3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW
6、8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T
7、3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW
8、8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T
9、3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW
10、8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T318已知,为锐角，且cos=71cos)(=1411,则 cos=_ 19给出下列命题：(1)存在实数,使1cossin(2)存在实数，使23cossin(3
11、)函数)23sin(xy是偶函数（4）若、是第一象限的角，且，则sinsin.其中正确命题的序号是_ 三.解答题(每小题 12 分，共 60 分,)20.已知函数y=3sin)421(x（1）用五点法在给定的坐标系中作出函数一个周期的图象；（2）求此函数的振幅、周期和初相；（3）求此函数图象的对称轴方程、对称中心.21.已知)cos(2-)sin(kkZk求:（1）sin3cos5cos2sin4;（2）22cos52sin4122设0a，若bxaxysincos2的最大值为0，最小值为4，试求a与b的值，并求y的最大、最小值及相应的x值精品资料-欢迎下载-欢迎下载 名师归纳-第 3 页，共
12、7 页 -文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D
13、7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V
14、2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D
15、7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V
16、2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D
17、7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V
18、2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T323.已知21)tan(，71tan，且),0(,，求2的值.24.设函数axxxxfcossincos3)(2（其中0，Ra），且 f(x)的图象在y 轴右侧的第一个最高点的横坐标为6（1）求的值；（2）如果)(xf在区间65,3的最小值为3，求a的值测试题答案.一.DDDA,CDDA,DCAD,CA 二 arcsin321 y=)48sin(4
19、-x21(3)三、解答题：20.已知函数y=3sin)421(x（1）用五点法作出函数的图象；（2）求此函数的振幅、周期和初相；（3）求此函数图象的对称轴方程、对称中心.解（1）列表：x 223252729精品资料-欢迎下载-欢迎下载 名师归纳-第 4 页，共 7 页 -文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码
20、:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7
21、H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码
22、:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7
23、H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码
24、:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7
25、H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3421x0 22323sin)421(x0 3 0-3 0 描点、连线,如图所示：5（2
26、）周期 T=2=212=4，振幅 A=3，初相是-4.8(3)令421x=2+k(kZ),得 x=2k+23(k Z),此为对称轴方程.令21x-4=k(kZ)得 x=2+2k(kZ).对称中心为)0,22(k(kZ).12 21.已知 sin(+k)=-2cos(+k)(k Z).求:（1）sin3cos5cos2sin4;（2）41sin2+52cos2.解：由已知得 cos(+k)0,tan(+k)=-2(k Z),即tan=-2.2（1）10tan352tan4sin3cos5cos2sin47（2）41sin2+52cos2=2222cossincos52sin41=2571tan5
27、2tan4122.12 22设a0，若 ycos2xasinxb 的最大值为0，最小值为 4，试求 a与 b 的值，并求出使 y 取得最大、最小值时的x 值解：原函数变形为精品资料-欢迎下载-欢迎下载 名师归纳-第 5 页，共 7 页 -文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V
28、3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文
29、档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V
30、3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文
31、档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V
32、3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文
33、档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3y41)2(sin22abax2 1sin x1，a0若 0 a2，当 sinx2a时ymax1b42a0 当 sinx1
34、 时，ymin41)21(22aba a b 4 联立式解得a 2，b-27 y 取得最大、小值时的x 值分别为：x2k 2(k Z)，x2k 2(kZ)若 a2 时，2a(1，)ymaxbaaba41)21(220 ymin441)21(22baaba由得a2 时，而2a1(1，)舍去 11 故只有一组解a2，b 2.12 23.已知 tan()21，tan -71，且 、（0，），求 2 的值.解：由 tan 71 (0，)得 (2,)2由 tan tan()31(0，)0 2.6 02 由 tan2 430 知 02 2tan(2 )tan2tan1tan2tan1.10 由知2 (，0
35、)精品资料-欢迎下载-欢迎下载 名师归纳-第 6 页，共 7 页 -文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6
36、X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:C
37、A3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6
38、X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:C
39、A3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6
40、X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:C
41、A3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T32 43.12 24.设函数axxxxfcossincos3)(2（其中 0，a R），且 f(x)的图象在 y轴右侧的第一个最高点的横坐标为6（1）求 的值；（2）如果)(xf在区间65,3x的最小值为3，求 a 的值解：(1)f(x)23cos2x21sin2x23a.2 sin(2x3
42、)23a.4 依题意得2632解得21.6(2)由(1)知 f(x)sin(2x3)23a 又当 x65,3时，x367,08 故21 sin(x 3)1.10 从而 f(x)在65,3上取得最小值2123a 因此，由题设知2123a3故 a213.12 精品资料-欢迎下载-欢迎下载 名师归纳-第 7 页，共 7 页 -文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW
43、8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T
44、3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW
45、8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T
46、3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW
47、8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3文档编码:CA3E4X3T6D7 HW8V3H7H6X6 ZO1Y6V2J3T3