问题 解答题
已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,丨φ丨<
π
2
的图象与y 轴交点的纵坐标为1,在相邻的两点(x0,2),(x0+
3
2
,-2)(x0>0)上f(x)分别取得最大值和最小值.
(1)求f(x)的解析式;
(2)若函数g(x)=af(x)+b的最大和最小值分别为6和2,求a,b的值.
答案

(1)依题意,得

T
2
=x0+
3
2
-x0,解得T=3=
ω
,解得ω=
3

∵f(x)的最大值为2,最小值为-2,∴A=2,

∴y=2sin(

3
x+φ).

∵图象经过(0,1),

∴2sinφ=1,即sinφ=

1
2

又|φ|

π
2
,∴φ=
π
6
,∴f(x)=2sin(
3
x+
π
6
)

(2)∵f(x)=2sin(

3
x+
π
6
).

∴-2≥f(x)≤2,

-2a+b=6
2a+b=2
-2a+b=2
2a+b=6

解得,

a=-1
b=4
a=1
b=4

完形填空

一、填空(每小题1.5分,共30分)

(根据汉语提示填空并完成句子或短语。每空一词,请将答案做在答题卡上)

1.This was the moment when Spielberg’s career really ­_______off.      (成功,腾飞)

2.Books are made _______ paper and paper is made _______ wood.  (由……制成的)

3.The house where he once lived has been turned ______a museum and is visited by thousands of people every year.                                        (变成)

4.If we reuse something, it will not end up ______waste.              (以……告终)

5.Keep in ______                                               (保持联系)

6.the  other  way  _______                                         (相反)

7.They will ______ down the old building .                              (拆毁)

8.a _______graduate student                            (一个有前途的研究生)

9.What does the UK______ ______ ?                                   (代表 )

10.A storm  is  just ______ the corner .                   (就在附近,即将来临)

11. keep up with the high ______of modern life      (跟上现代生活的快节奏 )

12.The twins have a lot  in ________ with  each other.       (与……有相同之处)

13.come to _______ with                                        (甘心忍受)

14.________ one’s goals.                                   (达到自己目标)

15. He ______ about  to lock the door when the telephone rang .            (正要)

16.We tie the  boat _____a tree.                             (把……拴在……)

17.Share happiness  and _______                                (同甘共苦)

18.­­­­____ number of the  sdudents in our class is 56.                 (……的数量)

19.learn from  the best _______ in the world                  (向世界顶尖人物学习)

20.The weather turned _____to be fine.                            (结果是……)

填空题