1.as soon as 一……就 He called me up as soon as he came back to Beijing. Please call me as soon as you finish your homework. 2.not as/so ……as 和……一样;不如 I think English is as important as maths For me, basketball is as interesting as football. 3.as……as possible 尽可能的 Kids in the West usually get ready for as many gifts as possible. We should speak English as much as we can in class. 4.be afraid of doing sth./that 害怕做某事、害怕担心 Children are always afraid of the dark. I used to be afraid of the dark. However, I am not now. 5.be busy doing 忙于做某事 Mom is always busy cooking when I get home. People in Beijing are busy getting ready for the Olympic Games. 6.be famous /late/ready/sorry for… 以……著名 He hurried to school yesterday, but he was late for class. Look!The students are getting ready for the sports meeting. 7.both…and 两者都 Students like both palying basketball and playing soccer. It's a good way to make both teachers and students happy. 8.buy/give/show/send/pass/bring/lend/tell sb. sth. 为某人买某物 If I were you, I'd give the money to charity. Yesterday Mary's mother bought her a new bike. 9.give/show/bring/lend/send/pass/tell sth to sb. 把…给某人 Please give this book to him. When you get to your home, please send this letter to your pen pal. 10.either…or 要么…要么 We can't allow him to stay at home, or he will either watch TV or play games. We're going to the park this Saturday, either by bus or by bike. 11.enjoy/hate/finish/mind/keep/go on doing 喜欢做某事 I kept him reading the text so that he could recite it quickly. Would you please keep holding the picture for me? 12.get+比较级 变得越来越…… The weather is getting warmer and warmer. How do you feel now? Unfortuately, it's getting worse. 14.get on with 与…相处 It's hard to get on with a bad-tempered person. 15.get ready for/ get sth. ready 为……作准备 Look! The students are getting ready for the sports meeting. The next station is Dongdan. Please get ready for your arrival. 16.had better (not) do 最好做、不做 You'd better help your parents do some housework once a week. You'd better not spend more time on this kind of game. 17.help sb(to)do/help sb. with The boy helped the old man to carry a bunch of wood up the hills. He asked me to help him to solve the problem. 18.don't think that 认为…不 I don't think that they will give up the chance of being volunteers. I don't think that he is reading now. 19.I would like to.../ would you like to...?我想做 Would you like to lend me your bike? Iwould like to look up some new words in it. 20.It takes sb sometime to do sth. 花费某人...时间做某事 It will take the workers two years to build the bridge. It took her 3 months to do this experiment. How long will it take the workers to rebuild the new school?
28.(上海6)函数的最小值是_____________________ .
答案
27.(湖南3)将函数的图象向左平移的单位后,得到函数的图象,则等于( )
A. B. C. D.
答案D ,,,因为,所以等于
26.(海南14)已知函数(>0, )的图像如图所示,则 =________________
25.(四川17)在中,为锐角,角所对应的边分别为,且
(I)求的值;
(II)若,求的值。
[解析](I)∵为锐角,
∴
∵
∴ …………………………………………6分
(II)由(I)知,∴
由得
,即
又∵
∴ ∴
∴ …………………………………………12分
24.(四川4)已知函数,下面结论错误的是
A.函数的最小正周期为 B.函数在区间上是增函数
C.函数的图像关于直线对称 D.函数是奇函数
[答案]D
[解析]∵,∴A、B、C均正确,故错误的是D
[易错提醒]利用诱导公式时,出现符号错误。
23.(天津17)在⊿ABC中,BC=,AC=3,sinC=2sinA
(I) 求AB的值:
(II) 求sin的值
本小题主要考查正弦定理、余弦定理、同角三角函数的基本关系、二倍角的正弦与余弦、两角差的正弦等基础知识,考查基本运算能力。满分12分。
(Ⅰ)解:在△ABC中,根据正弦定理,
于是AB=
(Ⅱ)解:在△ABC中,根据余弦定理,得cosA=
于是 sinA=
从而sin2A=2sinAcosA=,cos2A=cos2A-sin2A=
所以 sin(2A-)=sin2Acos-cos2Asin=
22.(天津7)已知函数的最小正周期为,为了得到函数的图象,只要将的图象
A 向左平移个单位长度 B 向右平移个单位长度
C 向左平移个单位长度 D 向右平移个单位长度
答案:A 由于,则,,又
,故,向左平移个单位长度
21.(陕西17)
已知函数(其中)的图象与x轴的交点中,相邻两个交点之间的距离为,且图象上一个最低点为.
(Ⅰ)求的解析式;(Ⅱ)当,求的值域
20.(陕西5)若,则 的值为
(A) (B) (C) (D)