您所在的当前位置：高中数学试题 >

任意角三角函数的概念

> 已知函数f（x）=tan（2x+ π 4 ）（I）求该函数的定义域，周期及单调区间；（II）若f（θ）= 1 7 ，求 2cos2 θ 2 -sinθ-1 2 sin(θ+ π 4 ) 的值．

问题：

发布时间：2024-09-10

已知函数f（x）=tan（2x+

π

4

）
（I）求该函数的定义域，周期及单调区间；
（II）若f（θ）=

1

7

，求

2cos2

θ

2

-sinθ-1

2

sin(θ+

π

4

)

的值．

参考答案：

提问用户：Kh***6p3

可能感兴趣的题目：

1 His radio is a very old one. It sometimes works and sometimes it_______ A．seldom does B．does hardly C．never does D．doesn’t
2 以下哪个不是地理信息系统具有的功能( ) A．查询检索 B．资源调查 C．灾害监测 D．空间定位
3 阅读理解。 One night, as Diaz stepped off the train and onto a nearly empty platform, a teenage boy approached and pulled out a knife. "He wanted my money, so I just gave him my wallet and told him, "Here you go "" Diaz says. As the teen began to walk away, Diaz told him, "Hey, wait a minute. You forgot something. If you"re going to be robbing people for the rest of the night, you might as well take my coat to keep you warm." The robber looked at him puzzled, saying, "Why are you doing this?" Diaz replied, "If you"re willing to risk your freedom for a few dollars, then you must really need the money. I mean, all I wanted to do was get dinner and if you really want to join me….." Diaz says he and the teen went into a diner and sat in a booth. "The manager comes by, the dishwashers come by, the waiters come by to say hi," Diaz says. The kid said, "You know everybody here. Do you own this place?" "No, I just eat here a lot," Dias said. "But you"re even nice to the dishwasher," he said. Diaz replied, "Well, haven"t you been taught you should be nice to everybody?" "Yea, but I didn"t think people actually behaved that way," the teen said. When the bill arrived, Diaz said, "You"re going to have to pay for this bill because you have my money and I can"t pay for this. So if you give me my wallet back, I"ll gladly treat you." The teen returned it immediately. "I gave him $20…I figure maybe it"ll help him." Diaz says he asked for something in return- the teen"s knife-"and he gave it to me." Afterwards, when Diaz told his mother what happened, she said, "You"re the type of kid that if someone asked you for the time, you gave them your watch." "I figure, you know, if you treat people right, you can only hope that they treat you right. It"s as simple as it gets in this complicated world." 1. What did Diaz do to the teen? A. He gave the teen a new wallet B. He treated the teen to dinner C. He gave his coat to the teen D. He taught the teen a lesson 2. From the passage we can infer that the boy _______. A. expressed his gratitude for Diaz"s kindness B. gave up the idea of robbing in the end C. wasn"t taught how to be nice to everybody D. gave the knife to Diaz in return for his forgiveness 3. For what Diaz did, his mother showed an attitude of _______. A. complaint B. concern C. criticism D. praise 4. By telling the story of Diaz, the author intends to tell us ______. A. to keep calm in danger B. not to go out alone at night C. to treat others kindly D. not to harm others on purpose
4 质量为的大炮，沿水平方向发射一颗质量为的炮弹，在炮身固定不动和可以自由反冲两情况下，炮弹的初速度之比为（　） A． B． C． D．窗体顶端
5 按如图所示的程序框图运算．若输入x=10，则输出的x与k的和是______．
6 与深圳、珠海经济特区相比，新疆喀什设立经济特区的独特优势是 A.工农业发达，海陆交通便利 B.位于西北边陲，利于和中亚国家贸易往来 C.劳动力充足，科技力量雄厚 D.毗邻海洋，利用发展对外贸易
7 下列各组物质的稀盐酸混合，再加入足量稀硫酸，静置后，溶液颜色没有明显改变的是（　　） A．酚酞溶液、Na2CO3、KNO3 B．Ba（NO3）2、NaNO3、CuCl2 C．FeCl2、KSCN、NaNO3 D．品红溶液、Na2SO3、KCl
8 （本小题满分12分）已知两个向量， f(x)= , (1)求f(x)的值域；(2)若 ,求的值
9 It was not what he said but the way he said it ____ made me angry. A．what B．which C．when D．that
10 在2012年元旦晚会上，河北杂技团表演了杂技“大球扛杆”。在一个大球上竖立一根直杆,演员在直杆上做了精彩表演。如图所示.假设直杆与大球之间有一压力传感器.一个质量为50kg的演员匀速向上运动时传感器显示压力为600N；演员从直杆最上端由静止开始向下匀加速运动一段时间后又匀减速运动一段时间速度减小到零,静止在距直杆底端1/3处。已知在演员向下运动时传感器显示的最大压力为700N，最小压力为500N，直杆长度为12m，g取10m/s 2。求： (1)直杆的质量； (2)演员下降过程中加速、减速的加速度； (3)演员向下运动的平均速度。

已知函数f（x）=tan（2x+ π 4 ） （I）求该函数的定义域，周期及单调区间； （II）若f（θ）= 1 7 ，求 2cos2 θ 2 -sinθ-1 2 sin(θ+ π 4 ) 的值．

可能感兴趣的题目：

已知函数f（x）=tan（2x+

π

4

）
（I）求该函数的定义域，周期及单调区间；
（II）若f（θ）=

1

7

，求

2cos2

θ

2

-sinθ-1

2

sin(θ+

π

4

)

的值．