题目
题型:月考题难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071528-10750.png)
(1)求函数f(x)的最小正周期及在区间[0,
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071529-58645.png)
(2)记△ABC的内角A,B,C的对边分别为a,b,c,若f(A)=
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071529-59455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071529-59487.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071530-35940.png)
=sinx+cosxcos
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071530-80398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071530-74660.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071530-98969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071531-80141.png)
=sin(x+
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071531-51319.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071531-62380.png)
∴T=2
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071531-60329.png)
∵x∈[0,
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071532-50603.png)
∴x+
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071532-67247.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071532-71816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071532-33017.png)
则f(x)的值域为[
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071532-42856.png)
(2)由(1)可知,f(A)=sin(A+
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071533-91444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071533-34286.png)
∵0<A<
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071533-24105.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071533-68573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071534-39403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071534-79973.png)
∴A+
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071534-82927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071534-68618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071534-89841.png)
∵a=
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071535-56888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071535-15659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071535-68200.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071535-46815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071536-88323.png)
∵0<B<
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071536-68950.png)
∴B=
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071536-95461.png)
核心考点
试题【设函数f(x)=sinx+cos(x+),x∈R.(1)求函数f(x)的最小正周期及在区间[0,]上的值域;(2)记△ABC的内角A,B,C的对边分别为a,b,】;主要考察你对函数y=Asin(ωx+φ)的图象等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071116-39140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071117-15384.png)
(1)求实数m的值;
(2)求f(x)的最小正周期.
(3)求f(x)在[0,
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920071117-37770.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190920/20190920064841-12819.png)
(2)求函数f(x)的最小正周期和最小值.
(I)求函数f(x)的最小正周期.
(II)求函数f(x)的最大值及f(x)取最大值时x的集合
最新试题
- 1(1)__________________,志在千里。__________________,壮心不已。(2)绿树村边合,
- 2按下面的流程图进行计算.若输出的x=202,则输入的正实数x值的个数最多为[ ]A.2 B.3 C.4 D
- 3It took Mary quite a long time to ________ a new dress at th
- 4读“地球公转示意图”,回答题:小题1:当地球公转由D向A运动的过程中,我国出现的文化现象是A.吃月饼,共庆团圆B.荡秋千
- 5在地震灾害面前,全国各族人民纷纷捐钱献物,全国各地支援的人力和物力一批批地运到灾区。这表明( )A.思想道德建设应与法律
- 6To live in honor, he came from a poor family, was his
- 7在△ABC中,已知tanA+B2=sinC,给出以下四个论断:①tanA•cotB=1,②1<sinA+sinB≤2,③
- 8听下面一段材料, 回答第1-3题。 1. How long will the woman stay in Florida
- 9如程序框图,程序框图所进行的求和运算是( )A.1++…+B.1+++…+C.+++…+D.++…+
- 10甲、乙两组数据分别为甲:28,31,39,45,42,55,58,57,66;乙:29,34,35,48,42,46,5
热门考点
- 1—Look at the dog. It"s _____ today.—Maybe it is ill. [
- 2阅读下列材料:材料1:以海外之有余,补内地之不足,内地无足轻重之物,载之番境皆为珍品。是以沿海居民操作小巧技艺及女工针绣
- 3中印两国山水相连,温家宝总理于2010年12月15日~17日两国建交60周年之际访问印度,就跨际水资源合作问题、矿产资源
- 4(4分)请在下列各组织后面的横线上写上它们对应功能的标号.①产生兴奋,传导兴奋②收缩和舒张③保护和分泌④支持、连接、保护
- 5在一副扑克牌中,拿出红桃2、红桃3、红桃4、红桃5四张牌,小明从中随机摸出一张记下牌面上的数字为x,然后放回洗匀,再由小
- 6下列说法中正确的是A.相互接触的物体之间一定有弹力作用B.不接触的物体之间也可能有弹力作用C.压力和支持力的方向都垂直物
- 7(1)中国古典诗歌有“以悲为美”“以愁为工”的悠久传统。李白在《秋浦歌》中写道:“白发三千丈,_____________
- 8关于x的不等式|log2x|>4的解集为______.
- 9---Are those cars?--- Yes ,________.A.these are B.those are
- 10阅读理解。 In Britain you are allowed to drive a car when you