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1、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 A1,0,1,2?,B?xx2?2x?3W0,则 A?B?()A. ?1,0? B. ?1,0,1? C.?x?1WxW2? D.?x?1WxW1?4. 已知平面向量 a二(1 , 2),b= (m,?4)，且 a/b，则 a?b=()A.4 B.10 C.?6 D
2、.?105. m?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?4n,n，则tan? ( ) 523344A.? B. C.? D. 443311? ab?7如下图所示，一个空间几何体的正视图和侧视图都是边长为1的正方形， 俯视图是一个直径为1的圆，那么这个几何体的全面积为（ ）A.正视图侧视图俯视图 nn3 B. C.n D.n 1242文化课考试试卷（B卷）第6页（共14页）8. 函数 y?3sin2x 是（）A.最小正周期为2n的奇函数B.最小正周期为
3、2n的偶函数C.最小正周期为n的奇函数D.最小正周期为n的偶函数9. 可作为函数y?f（x）的图像是（）ABCD10. 给定下列三个命题：（1）若一个平面内的两条直线与另一个平面都平行，那么这两个平面相互 平行；（2）垂直于同一直线的两条直线相互平行；（3）若一条直线与一个平面内的两条直线都垂直，则这条直线与这个平面 垂直。 则正确的命题个数是（ ）A. 3个B. 2个C. 1个D. 0个x2y21上的点，若Fl、F2是椭圆的两个焦点，则PF1?PF2? ( ) 11.设P是椭 圆？ 2516A. 10 B. 8 C.6 D.512. 某公司招聘员工，经过笔试确定面试对象人数，面试对象人数按拟
4、录用 人数分段计1WxW10?4x,?算，计算公式为y?2x?10,10?xW100,其中x代表拟录用人 数，y代表面试对象人数。1.5x,x100若应聘的面试对象人数为60人，则该公司拟录用人数为( )A.15 B.25 C.40 D.13013. 从甲、乙、丙三人中任选两名代表，甲被选中的概率为( )112A. B. C. D.1 323文化课考试试卷(B卷)第7页(共14页)14. 阅读右边的程序框图，若输入的N?100,则输出的结果是()101A.50 B. 2103C.51 D. 2二、解答题(本题有3小题，共30分；解答时需写出文字说明与演算步骤)15（本小题满分 8 分）求过点（
5、2,3）且与圆（x?3）2?y2?l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，
6、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 basketball 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
7、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 you like to go to Mount Tai with us?A. Yes, I did. B. No, I didnt. C. Yes, of course. D. Oh, I am fe d up with you.5. It suddenly occur
8、red to me that we could the policefor help.A. ask B. look C. tell D. meet6. Chinese we study English, maths, physics, chemistry and so on.A. Except B. Beside C. Outside 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
9、. 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. hangs D. being hungA. news B. knowledge C. notice D. message11. we cant understand ishe didnt join us inthe discussion.A.What; why B.What; ho
10、w 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 everything 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. It
11、s so hot and dry. The trees .A. need to water B. need watering C. want to water D. want to bewatering16. Surely her daughter would make an even bigger effort _ her.A. please B. pleased C. to please D. having pleased17. A well-written composition good choice of words and clear organizationamong other
12、 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 invited 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 hund
13、reds 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 thathe could travel to it.to buy a cheap ca
14、r, but they all of them had any desire to buy it.Bobs friend Jack Bob told him, and Jack answered, Well, what aboutadvertising （广告宣传）it in the paper? （合理的），he put an adver tisement in an evening paper, which read For sale: small car, very l ittle petrol， only two owners. Bargain at 50.For two days after the advertisement first appeared, there was .（询问）about the car. the man whether ten o a ride in it to 35 it.But then on Saturday evening he had an inquiry All right, Bob said, feeling happy. He asked clock the my wife. We intend （想要） to go for
