1、广东高职自主招生试题广东高职自主招生试题数 学(数学卷共2大题,17小题,满分100分)一、选择题(本题共14个小题,每小题5分,共70分;每小题只有一个正确答案)1若a?b,则下列各式中正确的是( )Aa2?b2 Ba3?b3 Clog2a?log2b D2在复平面内,复数z?i(1?2i)对应的点位于( )A第一象限 B第二象限 C第三象限 D第四象限3设集合A?1,0,1,2?,B?xx2?2x?30,则A?B?( )A?1,0? B?1,0,1? C?x?1x2? D?x?1x1?4已知平面向量a=(1 , 2),b=(m,?4),且a/b,则a?b=( )A4 B10 C?6 D?1
2、05m?2是直线(m?1)x?y?2?0和直线mx?(2m?2)y?1?0相互垂直的( )A充分不必要条件 B必要不充分条件C充分必要条件 D既不充分也不必要条件6已知sin?4,?,则tan?( ) 523344A? B C? D 443311? ab?15(本小题满分8分)求过点(2,3)且与圆(x?3)2?y2?1相切的切线方程。16(本小题满分10分)在等比数列an中,已知a1?2,a4?16。(1)求数列an的通项公式an;(2)若a3、a5分别为等差数列bn的第3项和第5项,试求数列bn的通项公式bn及前n项的和Sn。17(本小题满分12分)如图,位于A处的信息中心获悉:在其正东方
3、向相距40海里的B处有一艘渔船遇险,在原地等待救援。信息中心立即把消息告知在其南偏西30?,相距20海里C处的乙船,现乙船朝北偏东?的方向北东沿直线CB前往B处救援,求cos?的值。AB?C?文化课考试试卷(B卷) 第8页(共14页)英 语(英语卷共4大题,62小题,满分100分)一、单项填空(本题有20小题,每小题1.5分,共30分;从A、B、C、D四个选项中,选出可以填入空白处的最佳选项)1. Where is Mr. Jack at this moment?A. He comes from Tokyo. B. He loves basketball.C. He is playing ba
4、sketball on the playground D. Basketball is his favorable sport.2. Hello, may I speak to Bob please?A. Thank you. B. Im sorry. C. My name is Jack. D. Sorry, hes not here.3. Do you know when_?A.will his shop be started B.his shop will startC.his shop will be started D.his shop will be begun4. Would y
5、ou like to go to Mount Tai with us?A. Yes, I did. B. No, I didnt. C. Yes, of course. D. Oh, I am fed up with you.5. It suddenly occurred to me that we could _ the police for help.A. ask B. look C. tell D. meet6. _ Chinese we study English, maths, physics, chemistry and so on.A. Except B. Beside C. O
6、utside D. Besides7. You cannot imagine how much I A. cost B. paid C. spent D. bought8. This bridge is _that one.A. as three times long as B. three times the length ofC. three time as long as D. three times as longer as9. The picture _on the wall is painted by my nephew.A. having hung B. hanging C. h
7、angs D. being hungA. news B. knowledge C. notice D. message11._we cant understand is_he didnt join us in the discussion.A.What; why B.What; how C.That; that D.That; whether12.Ill be very glad if you agree to this matter.文化课考试试卷(B卷) 第9页(共14页)A. look up B. look for C. look into D.look at13. We _ every
8、thing into consideration before we drew up the plan.A. took B. were taking C. did take D. had takenA. missed B. wasted C. escaped D. failed15. Its so hot and dry. The trees _.A. need to water B. need watering C. want to water D. want to be watering16. Surely her daughter would make an even bigger ef
9、fort _ her.A. please B. pleased C. to please D. having pleased17. A well-written composition good choice of words and clear organizationamong other things.A. calls on B. calls up C. calls for D. calls off18. Most of the artists _ to the party were from South Africa.A. to invite B. invited C. being i
10、nvited D. had been invited19. He speaks Chinese as fluently as if he _ a Chinese.A. were B. had been C. is D. has been20. Only after they had done hundreds of experiments _ in solving the problem.A. they succeeded B. they had succeededC. would they succeed D. did they succeed二、完形填空(本题有20小题,每小题1.5分,共
11、30分;阅读下面的材料,掌握其大意,然后在2140题所给的A、B、C、D四个选项中选出最佳选项)When Bob was eighteen, he bought a secondhand car for 200 so that he could travel to it.to buy a cheap car, but they all of them had any desire to buy it. Bobs friend Jack Bob told him, and Jack answered, Well, what about advertising(广告宣传) it in the pa
12、per? (合理的), he put an advertisement in an evening paper, which read For sale: small car, very little petrol, only two owners. Bargain at 50.For two days after the advertisement first appeared, there was . But then on Saturday evening he had an inquiry(询问)about the car. All right, Bob said, feeling happy. He asked the man whether ten oclock the my wife. We intend (想要) to go for a ride in it to 35 it.
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