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1、2012 届高三数学周测一 填空题1. 已知 a=(1,2),b=(1,x),若 ab,则 x 等于_2 已知向量 a,b 的夹角为,且|a|=2,|b|=5,则(2a-b)a=_o1203. 设 a=(2,3),b=(x,2x),且 3ab=4,则 x 等于_4. 已知,则 x+2y 的值为_BCCDyxBCAB且),3, 2(),(),1 , 6(DA5. 已知(,0)2x ,4cos5x ,则x2tan_.6. 函数3sin4cos5yxx的最小正周期是_.7. 已知2 3sincos,223那么sin的值为 ,cos2的值为 . 8函数 y=(2+cosx)(5cosx)的最大值与最小
2、值之和为_ 9. 先将函数的图象向右平移 3 个单位长度,再将所得图象关于 y 轴对称,则所得图sin2yx象对应的函数解析式为 . 10.函数当时的值域为 . 22log (1sin )log (1sin ),yxx,3 4x 11 在ABC 中,O 为中线 AM 上的一个动点,若 AM=2,则的最小值是 . OA OBOCuu u r uuu ruuu r12. 若1tan2008,1tan 则1tan2cos2 .13 在ABC 中,若, 1coscoscos222CBA则ABC 的形状是_头 头 头 头 头 头 头 头头 头 头 头 头 头 头http:/ 头 头头 头 头 头头 头
3、头 头 头 头头 头14. 在ABC 中,若acb 2,则BBCA2coscos)cos(的值是_头 头 头 头 头 头 头 头头 头 头 头 头 头 头http:/ 头 头头 头 头 头头 头 头 头 头 头头 头 二,解答题二,解答题15、已知在ABC 中,A=450,AB=,BC=2,求解此三角形.616. 已知sinsinsin0,coscoscos0,求cos()的值若,22sinsin求coscos的取值范围. 17已知向量满足:,a b4,3,(23 ) (2)61ababab()求的值; a b()求向量与的夹角;ab()求的值ab18.在ABC 中,a, b, c 分别为内角
4、 A, B, C 的对边,且2 sin(2)sin(2)sin.aAacBcbC()求 A 的大小;()求的最大值.sinsinBC1919已知)0(),sincos,(cos),sincos,sin2(xxxbxxxa函数( )f xa br r,且函数( )f x的最小正周期为.(1)求函数( )f x的解析式;(2)求函数( )f x在0,2上的单调区间.20 (本小题满分 14 分)已知向量2(3,1),( ,)axbxyrr , (其中实数y和x不同时为零) ,当| 2x 时,有abrr ,当| 2x 时,/abrr (1) 求函数式( )yf x;(2)求函数( )f x的单调递减
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