您所在的当前位置：高中数学试题 >

任意角三角函数的概念

> 已知向量 a =(sinωx，1)， b =( 3 ，cosωx)，ω＞0，记函数f（x）= a • b ，若f（x）的最小正周期为π．（1）求ω的值；（2）若 x∈(0， π 3 ]，求此时函数f（x）的值域．

问题：

发布时间：2024-09-09

已知向量

a

=(sinωx，1)，

b

=(

3

，cosωx)，ω＞0，记函数f（x）=

a

•

b

，若f（x）的最小正周期为π．
（1）求ω的值；
（2）若 x∈(0，

π

3

]，求此时函数f（x）的值域．

参考答案：

提问用户：8b***Pk9

可能感兴趣的题目：

1 阅读理解。 Mr. and Mrs. Smith had always spent their summer holidays in New Jersey in the past, staying in a small inn at the foot of a hill. One year, however, Mr. Smith made a lot of money in his business, so they decided to go to London and stay at a really good hotel while they went t turning around that famous city. They flew to London and arrived at their hotel late one evening. They expected that they would have to go bed hungry, because in that small inn in New Jersey, no meals served after seven. They were therefore surprised when the man who received them in the hall asked whether they would take dinner there that night. "Are you still serving dinner?" asked Mr. Smith. "Yes,certainly, sir," answered the man. "We serve it until half past nine." "What are the times of meals then?" asked Mr. Smith. "Well, sir," answered the man. "We sever breakfast from seven to half past eleven in the morning, lunch from twelve to three in the afternoon, tea from four to five, and dinner from six to half past nine." "But that hardly leaves any time for us to see the sights of London!" said Mrs. Smith. 1. Mr. and Mrs. Smith had _____ in the past. A. often stayed in a quite good hotel B. often stayed in a small inn C. travelled to many places D. made a lot of money 2. They decided to go to a really good hotel because _____. A. it was said to be a quite good one B. they were tired of small inns C. it was near many places of interest D. they now had enough money 3. When they got to the hotel, _____. A. no meals wre served after seven B. dinner was still being severed C. there wre no visitors D. the waiters were asleep 4. Mrs. Smith _____. A. would have lots of time to see the sights B. was afraid that they would have no time to tour around London C. thought the hotel wasn"t so good as they expected D. did know why the hotel was better than the small inn
2 以10m/s速度在平直公路上匀速行驶的汽车，因故紧急关闭发动机，之后汽车在平直公路上匀减速滑行了一段距离，其加速度大小为2m／s 。下列说法中错误的是 A．在汽车关闭发动机后的第1 s末汽车的速度大小是8m／s B．在汽车关闭发动机后的第1 s内汽车的位移大小是9m C．汽车在平直路面上匀减速滑行的时间为10s D．汽车在平直路面上匀减速滑行的距离为25m
3 it was because of his kind nature _______I fell in love with Peter. A．before B．when C．that D．since
4 程序如下： t←1 i←2 while，i≤4 t←t×i i←i+1 End While Print t 以上程序输出的结果是______．
5 一定能在下列溶液中大量共存的离子组是 [ ] A．pH=0的溶液：Fe 2+、Mg 2+、NO 3 -、SO 4 2- B．由水电离出的c(H +)=1×10 -13mol / L的溶液：HCO 3 -、K +、SO 4 2-、Cl - C．含大量Fe 3+的溶液：NH 4 +、Na +、SCN -、Cl - D．pH=14的溶液：Na +、K +、AlO 2 -、CO 3 2-
6 如图所示，在水平向右场强为E的匀强电场中，有一质量为m、电荷量为q的占由荷从A点由静止释放，仅在由场力的作用下经时间t运动到B点．求．（1）点电荷从A点运动到B点过程中电场力对点电荷做的功；（2）A、B两点间的电势差．
7 两滴水相互接近后，能自动结合为一滴较大的水滴，这一事实说明 A.分子间存在斥力 B.分子间存在引力 C.分子间有扩散现象 D.分子问有间隙
8 1772年，法籍意大利数学家拉格朗日推断出：两个质量相差悬殊的天体(如太阳和地球)所在同一平面上有5个点，如图中的、、、、，人们称为拉格朗日点，由于这五个点特殊性，已经成为各个航天大国深空探测所争夺的地方。2012年8月25日23时27分，经过77天的飞行，“嫦娥二号”在世界上首次实现从月球轨道出发，受控准确进入距离地球约150万公里远的太阳与地球引力平衡点拉格朗日点的环绕轨道。拉格朗日点位于太阳和地球连线的延长线上，“嫦娥二号”位于该点，在几乎不消耗燃料的情况下与地球同步绕太阳做圆周运动，下列说法正确的是 A．“嫦娥二号”绕太阳运动周期和地球绕太阳运动周期相等 B．“嫦娥二号”在该点处于平衡状态 C．“嫦娥二号”所需向心力不可能仅由太阳的引力提供 D．“嫦娥二号”的绕太阳运动的向心加速度大于地球绕太阳运动的向心加速度
9 What are the man ______ in the office ______ the boss? A．arguing; with B．arguing over; to C．arguing about; to D．arguing about; with
10 如图所示，一轻质弹簧与质量为m的物体组成弹簧振子，在竖直方向的A、B的两点间做简谐运动，O为平衡位置，振子的周期为T，某一时刻物体正经过C点向上运动已知C点在平衡位置上方h处，从此时刻开始的半个周期内，下列说法错误的是（　　） A．重力对物体做功2mgh B．重力对物体的冲量大小为 mgT 2 C．振子所受的回复力的冲量为零 D．振子所受的回复力做功为零

已知向量 a =(sinωx，1)， b =( 3 ，cosωx)，ω＞0，记函数f（x）= a • b ，若f（x）的最小正周期为π． （1）求ω的值； （2）若 x∈(0， π 3 ]，求此时函数f（x）的值域．

可能感兴趣的题目：

已知向量

a

=(sinωx，1)，

b

=(

3

，cosωx)，ω＞0，记函数f（x）=

a

•

b

，若f（x）的最小正周期为π．
（1）求ω的值；
（2）若 x∈(0，

π

3

]，求此时函数f（x）的值域．