廣東高職自主招生考試

1、廣東高職自主招生考試作者:日期:(數(shù)學(xué)卷共2大題，17小題，滿分100分)一、選擇題(本題共14個(gè)小題，每小題5分，共70分；每小題只有一個(gè)正 確答案)1 若a?b,貝U下列各式中正確的是()A. a2?b2 B. a3?b3 C. Iog2a?log2b D .2 在復(fù)平面內(nèi)，復(fù)數(shù)z?i(1?2i)對(duì)應(yīng)的點(diǎn)位于()A.第一象限B .第二象限C .第三象限D(zhuǎn) .第四象限3 .設(shè)集合 A?1,0,1,2?，B?xx2?2x?3 0,則 A?B?()A. ?1,0? B . ?1,0,1? C . ?x?1x2? D. ?x?1x 1?4. 已知平面向量 a= (1 , 2 ) ， b= (m,?

2、4)，且 a/b，則 a?b=()A. 4 B . 10 C . ?6 D . ?105. m?2是直線(m?1)x?y?2?0 和直線 mx?(2m?2)y?1?0相互垂直的()A.充分不必要條件B .必要不充分條件C.充分必要條件D .既不充分也不必要條件6. 已知 sin?4 n，?n，則 tan? ( ) 523344A ? B . C . ? D . 443311? ab?7. 如下圖所示，一個(gè)空間幾何體的正視圖和側(cè)視圖都是邊長(zhǎng)為1的正方形,俯視圖是一個(gè)直徑為1的圓，那么這個(gè)幾何體的全面積為（）A.正視圖側(cè)視圖俯視圖 n n 3 B . C . n D . n 1242文化課考試試卷

3、（B卷）第6頁(yè)（共14頁(yè)）8 .函數(shù) y?3sin2x 是（）A.最小正周期為2n的奇函數(shù)B .最小正周期為2n的偶函數(shù)C.最小正周期為n的奇函數(shù)D .最小正周期為n的偶函數(shù)9. 可作為函數(shù)y?f（x）的圖像是（）ABCD10. 給定下列三個(gè)命題：（1）若一個(gè)平面內(nèi)的兩條直線與另一個(gè)平面都平行，那么這兩個(gè)平面相互 平行；（2）垂直于同一直線的兩條直線相互平行；（3）若一條直線與一個(gè)平面內(nèi)的兩條直線都垂直，則這條直線與這個(gè)平面 垂直。則正確的命題個(gè)數(shù)是（）A. 3個(gè)B . 2個(gè)C . 1個(gè)D . 0個(gè)x2y2?1上的點(diǎn)，若.F1、F2是橢圓的兩個(gè)焦點(diǎn)，貝U PF1?PF2?（ ） 11.設(shè)P是橢

4、圓? 2516A. 10 B . 8 C . 6 D . 512. 某公司招聘員工，經(jīng)過(guò)筆試確定面試對(duì)象人數(shù)，面試對(duì)象人數(shù)按擬錄用人數(shù)分段計(jì)Kx 10?4x,?算，計(jì)算公式為y?2x?10,10?x 100,其中x代表擬錄用人數(shù)，y代表面試對(duì)象人數(shù)。?1.5x,x?100?若應(yīng)聘的面試對(duì)象人數(shù)為60人，則該公司擬錄用人數(shù)為（）A. 15 B . 25 C. 40 D. 13013. 從甲、乙、丙三人中任選兩名代表，甲被選中的概率為（）112A. B. C. D. 1 323文化課考試試卷（B卷）第7頁(yè)（共14頁(yè)）14. 閱讀右邊的程序框圖，若輸入的 N?10Q則輸出的結(jié)果是（）101A. 50

5、 B . 2103C. 51 D . 2二、解答題（本題有3小題，共30分；解答時(shí)需寫出文字說(shuō)明與演算步驟）15. （本小題滿分8分）求過(guò)點(diǎn)（2,3）且與圓（x?3）2?y2?1相切的切線方程。16. （本小題滿分10分）在等比數(shù)列an中，已知a1?2, a4?16。（1）求數(shù)列an的通項(xiàng)公式an；（2）若a3、a5分別為等差數(shù)列bn的第3項(xiàng)和第5項(xiàng)，試求數(shù)列bn的通 項(xiàng)公式bn及前n項(xiàng)的和Sn。17. （本小題滿分12分）如圖，位于A處的信息中心獲悉：在其正東方向相距 40海里的B處有一艘 漁船遇險(xiǎn)，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處的乙船，現(xiàn)乙船朝北偏

6、東？的方向北東沿直線CB前往B處救援，求cos?的值。AB?C?文化課考試試卷（B卷）第8頁(yè)（共14頁(yè)）英語(yǔ)（英語(yǔ)卷共4大題，62小題，滿分100 分）一、單項(xiàng)填空（本題有20小題，每小題1.5分，共30分；從A B C D四個(gè)選項(xiàng)中，選出可以填入空白處的最佳選項(xiàng)）1. Where is Mr. Jack at this mome nt?A. He comes from Tokyo. B. He loves basketball.C. He is play ing basketball on the playgro und D. Basketball is his favorable spor

7、t.2. Hello, may I speak to Bob please?A. Thank you. B. Im sorry. C. My n ame is Jack. D. Sorry, hes no t 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 beg un4. Would you like to go to Mou nt Tai with us?A. Yes, I did. B. No, I

8、did nt. C. Yes, of course. D. Oh, I am fed up with you.5. It sudde nly occurred to me that we couldthe policefor help.A. ask B. look C. tell D. meet6. Chin ese we study En glish, maths, physics, chemistry and so on.A. Except B. Beside C. Outside D. Besides7. You cannot imagi ne how much I A. cost B.

9、 paid C. spe nt D. bought8. This bridge isthat one.A. as three times long as B. three times the length ofC. three time as long as D. three times as Ion ger as9. The pictureon the wall is pain ted by my n ephew.A. hav ing hung B. hanging C. hangs D. being hungA. n ews B. kno wledge C. no tice D. mess

10、age11. we cant un dersta nd ishe did nt join us inthe discussi on.A.What; why B.What; how C.That; that D.That; whether12.1 II be very glad if you agree to this matter.文化課考試試卷（B卷）第9頁(yè)（共14頁(yè)）A. look up B. look for C. look into D.look at13. Weeverythi ng in to con siderati on before we drew up the pla n.

11、A. took B. were tak ing C. did take D. had take nA. missed B. wasted C. escaped D. failed15. Its so hot and dry. The trees.A. n eed to water B. n eed wateri ng C. want to water D. want to bewateri ng16. Surely her daughter would make an eve n bigger effort_ her.A. please B. pleased C. to please D. h

12、av ing pleased17. A well-writte n compositi on good choice of words and clear organi zatio namong other thin gs.A. calls on B. calls up C. calls for D. calls off18. Most of the artiststo the party were from South Africa.A. to in vite B. in vited C. being in vited D. had bee n in vited19. He speaks C

13、hin ese as flue ntly as if hea Chin ese.A. were B. had bee n C. is D. has bee n20. Only after they had done hun dreds of experime ntsin solving the problem.A. they succeeded B. they had succeededC. would they succeed D. did they succeed二、完形填空（本題有20小題，每小題1.5分，共30分；閱讀下面的材料, 掌握其大意，然后在2140題所給的A、B、C、D四個(gè)選

14、項(xiàng)中選出最佳選項(xiàng)）Whe n Bob was eightee n, he bought a sec on dha nd 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 aboutadvertis ing（廣告宣傳）it in the paper?（合理的），he put an advertisement in an evening paper, which read For sale: small car, very l ittle petrol, on ly two own ers. Barga in at 50.For two days after the advertiseme n