第一节 单项填空(共15 小题, 每小题1分, 满分15分)
21 He spends all his spare time on physics , and he __________ the subject.
A .is crazy of B .is crazy about C.is concerned about D.is concerned for
22 Although I often send e-mails to Tom , I have never seen him _________ .
A.face to face B.on purpose C.at the moment D.hand in hand
23 She was angry at first but we managed to ________ her ________ .
A.calm ; down B.add ;up C.try ; out D.throw ; away
24 -- You went to the US last month, didn’t you?
-- Yes .That was he first time that I _________ there .
A.had been B.had gone C.went D.have been
25 --My sister is very upset today .
--It’s your fault. . You ___________the bad news to her yesterday.
A.should tell B.should have told C. shouldn’t have told D.must tell
26 In the office I smiled at her but she just _________ me .
A.cheated B.ignored C.trusted D.forgot
27 It was because of bad weather _________ the football match had to be put off.
A .so B.so that C.why D.that
28 Li Min’s parents thought he was at school , but ______he was in a cinema seeing a new film .
A.actually B.of course C.however D.surely
29 As my teacher hadn’t changed a lot , I _________ him at once.
A.realized B.knew C.remembered D.recognized
30 Most Irish people go to __________ church on Sundays and ________ church plays an important ________ in people ‘s lives.
A.the ; the ; part B. / ; the ; role C. / ; / ;part D. the ; / ; role
31 We ‘re going to do some shopping . Will you _________ us?
A.take part in B.join in C.join D.take
32 --I missed the first part of the film . It was really a pity .
--You _________ home half an hour earlier .
A.should have left B.must have left C.should leave D.must leave
33 The nurse told the children that the sun _________in the east .
A .risen B .rose C. rises D .rising
34 People in Britain speak the same language __________ Americans do.
A .which B .what C .like D. as
35 I don’t like __________ you speak to her..
A .the way B .the way in that C. the way which D.the way of which
22、(14分)已知函数f(x)=x3+3ax-1,aR
(1)若函数y=f(x)的图象在x=1处的切线与直线y=6x+6平行,求实数a的值。
(2)设函数g(x)=f/(x)-6,对满足-1≤a≤1的一切a的值,都有g(x) <0恒成立,求实数x的取值范围。
(3)当a≤0时,请问:是否在整数a的值,使方程f(x)=15有且只有一个实根?若存在,求出整数a的值,否则,说明理由。
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21、(12分)某化工厂引进一条选进生产线生产某化工产品,其生产的总成本y(万元)与年产量x(吨)之间的函数关系式可以近似地表示为y=-48x+8000,已知此生产线产量最大为210吨。
(1)求年产量为多少时,生产每吨产品的平均成本最低,并求最低成本。
(2)若每吨产品平均出厂价为40万元,那么当年产量为多少吨时,可以获得最大利润?最大利润是多少?
20、(12分)在锐角△ABC中,a,b.c分别为角A,B,C所对的边且a=2csinA
(1)确定角C的大小
(2)若c=且△ABC的面积为,求a+b的值
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