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廣東高職自主招生試題.doc

'廣東高職自主招生試題.doc'
?數 學(數學卷共2大題,17小題,滿分100分)一、選擇題(本題共14個小題,每小題5分,共70分;每小題只有一個正確答案)1.若a?b,則下列各式中正確的是( )A.a2?b2 B.a3?b3 C.log2a?log2b D.2.在復平面內,復數z?i(1?2i)對應的點位于( )A.第一象限 B.第二象限 C.第三象限 D.第四象限3.設集合A???1,0,1,2?,B?xx2?2x?3≤0,則A?B?( )A.??1,0? B.??1,0,1? C.?x?1≤x≤2? D.?x?1≤x≤1?4.已知平面向量a=(1 , 2),b=(m,?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??4π,???π,則tan??( ) 523344A.? B. C.? D. 443311? ab??7.如下圖所示,一個空間幾何體的正視圖和側視圖都是邊長為1的正方形,俯視圖是一個直徑為1的圓,那么這個幾何體的全面積為( )A.正視圖 側視圖俯視圖 ππ3 B. C.π D.π 1242文化課考試試卷(B卷) 第6頁(共14頁)8.函數y??3sin2x是( )A.最小正周期為2π的奇函數 B.最小正周期為2π的偶函數C.最小正周期為π的奇函數 D.最小正周期為π的偶函數9.可作為函數y?f(x)的圖像是( )ABCD10.給定下列三個命題:(1)若一個平面內的兩條直線與另一個平面都平行,那么這兩個平面相互平行;(2)垂直于同一直線的兩條直線相互平行;(3)若一條直線與一個平面內的兩條直線都垂直,則這條直線與這個平面垂直。 則正確的命題個數是( )A.3個 B.2個 C.1個 D.0個x2y2?1上的點,若F1、F2是橢圓的兩個焦點,則PF1?PF2?( )11.設P是橢圓? 2516A.10 B.8 C.6 D.512.某公司招聘員工,經過筆試確定面試對象人數,面試對象人數按擬錄用人數分段計1≤x≤10?4x,?算,計算公式為y??2x?10,10?x≤100,其中x代表擬錄用人數,y代表面試對象人數。?1.5x,x?100?若應聘的面試對象人數為60人,則該公司擬錄用人數為( )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(共14頁)14.閱讀右邊的程序框圖,若輸入的N?100,則輸出的結果是( )101A.50 B. 2103C.51 D. 2二、解答題(本題有3小題,共30分;解答時需寫出文字說明與演算步驟)15.(本小題滿分8分)求過點(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)在等比數列{an}中,已知a1?2,a4?16。(1)求數列{an}的通項公式an;(2)若a3、a5分別為等差數列{bn}的第3項和第5項,試求數列{bn}的通項公式bn及前n項的和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,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,現乙船朝北偏東?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(共14頁)英 語(英語卷共4大題,62小題,滿分100分)一、單項填空(本題有20小題,每小題1.5分,共30分;從A、B、C、D四個選項中,選出可以填入空白處的最佳選項)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. I'm sorry. C. My name is Jack. D. Sorry, he's 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 didn't. 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. 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. 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 can't understand is___________he didn't join us in the discussion.A.What; why B.What; how C.That; that D.That; whether12.I’ll be very glad if you agree to this matter.文化課考試試卷(B卷) 第9頁(共14頁)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's 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 effort _________ 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 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 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21~40題所給的A、B、C、D四個選項中選出最佳選項)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. Bob's friend Jack Bob told him, and Jack answered, "Well, what about advertising(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 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(詢問)about the car. "All right," Bob said, feeling happy. He asked the man whether ten o'clock the my wife. We intend (想要) to go for a ride in it to 35 it."
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