A、1
B、3
C、2
D、2 3.函数f(x)?sin(2x??)在区间[0,]上的最小值是( ) 42?A、?1122B、?C、D、
2 2 2 2
4.有3名女生和5名男生,排成一排,其中3名女生排在一起的所有排法是( )
A、2880B、3600C、4320D、720
5.若sin(???)?11tan??( ) ,sin(???)?则
23tan?
A、
3132B、C、D、
5 52 3
6.已知函数f(x)?ax?1?1(a?0且a?1)的图象恒过定点P,且P在直线2mx?ny?4?0上,则m?n的值等于( )
A、?1B、2 C、1D、3
7.若正方体的棱长为2,则它的外接球的半径为( ) A、3B、23C、3D、6 2
?log2x(0?x?1)?8.函数f(x)??的值域是( ) 1x()(x?1)??2A、(??,)111B、(,??)C、(0,)D、(??,0)
2 22
9.已知过点P(2,2)的直线与圆(x?1)2?y2?5相切,且与直线ax?y?1?0垂直,则
a的值是( )
A、?11B、?2C、D、?2
2 2
开始10.已知函数
f(x)?lgx,若0?a?b且f(a)?f(b),则2a?ba?2的最
小值是( ) A、2B、22C、32D、42 否
二、填空题(本大题共5小题,每小题4分,共20分)
a?10a?1a?2015是输出a结束11.逻辑式ABC?ABC?AB?A= 。
12.题12图是一个程序框图,则输出的值是 。
题12图
13.题13表给出了某项工程的工作明细表,则完成此项工程所需总工期的天数是 。
14.某班级从甲、乙、丙三名同学中选一名代表在开学典礼上发言,全班同学参加了投票,得票情况统计如题14表及题14图,则同学乙得票数为 。 15% 学生 票数 甲 12 乙 丙 6 题14表 题14图
15.在平面直角坐标系中,已知?ABC的两个顶点为A(-4,0)和C(4,0),第三个顶点
sinBx2y2? 。 ??1上,则B在椭圆
sinA?sinC259三、解答题(本大题共8小题,共90分)
16.(8分)设函数f(x)是定义在实数集R上的奇函数,且当x?0时
2(1)求实数m的范围;(2)求x?3x?m?0不等式的解集。 f(x)?3x?1?(x?1)2?m,
17.已知函数f(x)?k?logax(a?0,a?1)的图像过点A(8,2)和点B(1,?1)。(1)求常数
111k和a的值;(2)求f(3)?f(5)?f(7)?f()?f()?f()的值。
35718.在?ABC中,角A,B,C的对边分别是a,b,c,且满足2AB?AC?a2?(b?c)2;(1)求角A的大小;(2)若角a?43,S?ABC?43,求角b和c。
19.盒中共装有9张各写一个字母的卡片,其中4张卡片上的字母是x,3张卡片上的字母是y,2张卡片上的字母是z,现从中任取3张卡片,求下列事件的概率。(1)A?{3张卡片上的字母完全相同};(2)B?{3张卡片上的字母互不相同};(3)C?{3张卡片上的字母不完全相同}。 20.已知数列?an?的前n项和为Sn,且满足an?1?2Sn?1(n?N?)。(1)求数列?an?a1?1,的通项公式;(2)设bn?log3an?1,求数列?bn?的前n项和Tn;(3)设cn?1,求数列2Tn?cn?的前100项和R100。
21.(10分)某职校毕业生小李一次性支出72万元购厂创业,同年另需投入经费12万元,以后每年比上一年多投入4万元,假设每年的销售收入都是50万元,用f(n)表示前n年的总利润。注:f(n)=前n年的总收入-前n年的总支出-购厂支出。(1)问:小李最短需要多长时间才能收回成本;(2)若干年后,为转型升级,进行二次创业。现有如下两种处理方案:方案一,年平均利润最大时,以48万元出售该厂;方案二,纯利润总和最大时,以15万元出售该厂。问,哪个方案更好? 22.(12分)某学校租用车辆接送188名师生参观爱国主义教育基地,若租车公司现有6辆中巴和8辆大巴可用。每辆中巴可载客18人,大巴40人。已知租用一辆中巴的费用为110元,大巴250元,问学校应租用中巴、大巴各多少辆,才能使费用最少?最少费用是多少元?
x2y2623.(14分)在平面直角坐标系中,已知椭圆E:2?2?1(a?b?0)的离心率e?,
ab3过右焦点F(x,0),且垂直于x轴的直线被椭圆E截得弦长为43,设直线y?t(t?0)与3椭圆E交于不同的两点A、B,以线段AB为直径作圆M。(1)求椭圆E的标准方程;(2)若圆M与x轴相切,求圆M的方程;(3)过点P(33,)作圆M的弦,求最短弦的长。 22江苏省2015年普通高校对口单招文化统考
英语试卷
第一部分:语言知识运用(共40小题,每小题1分,共40分)
第一节在本节中,你将读到10个句子,从题后所给的A. B. C.D四个选项中选出可以 填入守白处的最佳选项,并将答题卡上对应选项的方框涂满、涂黑。 1. The price of my trousers ▲ reasonable, so I think it's a bargain. A. is B. are C. am D. be
2. Henry seldom came here to help us, ▲ ?
A. didn't he B.doesn't he C. does he D. did he
3. On our way to New York, we visited the Browns, ▲ used to be our neighbor. A. whom B.who C.which D. that
4. The manager will have to ▲ the shop assistant because he has received several letters of complaint against her.
A. lay off B. give off C.take off D. turn off
5. My friend lent me a few reference books, but ▲ of them was useful for my school project.
A. neither B. none C.either D .all
6. \effect\means people remember the beginnings and ends of words better than the middles, as if the word ▲ a person ▲ in a bathtub. A. were; lay B. is; lay C were; lying D. is; lying 7. The more effort you put into your studies, ▲ .
A. the better will be your result B. the better your result will be C. your result will be better D. will be better your result. 8. Do you mind ▲ in the extra hours in your company? A.puts B.put C.to put D.putting
9. Children labeled \ ▲ they could progress more rapidly.
A. now that B. even though C. so that D. as long as 10. Only through pure luck ▲ the English speech contest. A. did he manage to win B. he managed to win C. he did manage to win D. managed he to win
笫二节在本节中,你将读到15个短对话或片段,从题后所给的A、B. C.D四个选项中 选出可以填入空白处的最佳选项,并将答题卡上对应选项的方框涂满、涂黑。 1l. 一What will the weather be like tomorrow? 一 ▲ A It was raining outside. B. What a fine day! C. The weather forecast says it will be fine D.We'll fly kites if it is fine. 12.一 ▲ 一Let me see?my favorite program, If You Are the One, starts at eight.
A. Could you switch to the sports channel, honey? B.What's on tonight?
C. What do you do at weekends? D. I like cartoons. How about you?
13. 一I heard that Bill broke your window. Was he sorry for his fault? 一 ▲ A. All right. B. Don't worry. C. Not really D. No problem. 14. 一Why not put off the picnic until next month? 一 ▲
A. A good match. B. A good idea. C. Good job. D. Good luck. 15. 一May I take your order, sir? 一What would you recommend?
一Baked fish and garlic chicken are always popular here. 一 ▲
A. Help yourself. B. It's too cheap.
C. Take it easy. D. The garlic chicken, please Sarah: John, what bring you here?
John: I’ve had a headache for a couple of days and finally I decide I’d better come and see you
Sarah: How are you feeling now? 16. Where are Sarah and John probably?
A. At a teacher's office. B. At a doctor's office C. In a hotel. D. In a restaurant. Man: How much is it to rent a car? Woman: It’s $30 a day or $180 a week Man:Is there any discount?
Woman:You can have a 10% discount if you pay by cash Man: OK, I’d like to have one for two days 17. How much rent will the man pay by cash?
A. $54. B. $30. C. $60. D. $180 Rick: I wonder if Susie will be here by 5 o'clock.
Julia: Her boyfriend said she left home at 4:30. She should be here al 5:10 and 5:15 at the