浙江省杭州求是高级中学2014-2015学年高二英语上学期期中试卷

2014-2015学年浙江省杭州市求是高中高二（上）期中数学试卷（文科）一、选择题：（本大题共10小题，每小题4分，共40分．在每小题给出的四个选项中，只有一项是符合题目要求的．）1．（4分）直线x=﹣1的倾斜角为（）A．0°B．45°C．90°D．135°2．（4分）下列几何体中是旋转体的是（）①圆柱；②六棱锥；③正方体；④球体；⑤四面体．A．①和⑤B．①C．③和④D．①和④3．（4分）已知m，n是两条不同直线，α，β，γ是三个不同平面，以下有三种说法：①若α∥β，β∥γ，则γ∥α；②若α⊥γ，β∥γ，则α⊥β；③若m⊥β，m⊥n，n⊊β，则n∥β．其中正确说法的个数是（）A．0个 B．1个 C．2个 D．3个4．（4分）在同一直角坐标系中，表示直线y=ax与y=x+a正确的是（）A．B．C．D．5．（4分）在正方体ABCD﹣A1B1C1D1中，直线AC1与平面ABCD所成的角为θ，则sinθ值为（）A．B．C．D．6．（4分）直线（a+2）x+（1﹣a）y﹣3=0与（a﹣1）x+（2a+3）y+2=0互相垂直，则a的值为（）A．﹣1 B．1 C．±1 D．7．（4分）已知一水平放置的四边形的平面直观图是边长为1的正方形，那么原四边形的面积为（）A．B．2 C．2 D．48．（4分）若两条不同的直线与同一平面所成的角相等，则这两条直线（）A．平行B．相交C．异面D．以上皆有可能9．（4分）一座楼房由若干个房间组成，该楼的三视图如图所示．则该楼中最高一层的那个房间在大楼的位置是（）A．右前上方B．左前上方C．右后上方D．左后上方10．（4分）在正方形SG1G2G3中，E、F分别是G1G2及G2G3的中点，D是EF的中点，现在沿SE、SF及EF把这个正方形折成一个四面体，使G1、G2、G3三点重合，重合后的点记为G，那么，在四面体S﹣EFG中必有（）A．SG⊥△EFG所在平面B．SD⊥△EFG所在平面C．GF⊥△SEF所在平面 D．GD⊥△SEF所在平面二、填空题：（本大题共6小题，每小题4分，共24分．）11．（4分）直线x﹣4y﹣1=0与直线2x+y﹣2=0的交点坐标是．12．（4分）已知原点O到直线3x+4y=15的距离为．13．（4分）设图是某几何体的三视图，则该几何体的体积为．14．（4分）Rt△ABC中，AB=3，BC=4，AC=5，将三角形绕直角边AB旋转一周所成的几何体的体积为．15．（4分）已知正方体ABCD﹣A1B1C1D1中，E为C1D1的中点，则异面直线AE 与BC所成的角的余弦值为．16．（4分）设l是经过点A（3，5）的任意一条直线，原点到直线l的距离为d，则对应于d取得最大值时的直线l的方程为．三、解答题：（本大题共4小题，共36分．解答应写出文字说明、证明过程或演算步骤．）17．（8分）已知直线l经过直线l1：3x+4y﹣2=0与直线l2：2x+y+2=0的交点P，且垂直于直线x﹣4y﹣1=0．（1）求直线l的方程；（2）求直线l与两坐标轴围成的三角形的面积S．18．（8分）已知两条直线l1：mx+8y+n=0和l2：2x+my﹣1=0，试分别确定m、n 的值，使：（1）l1与l2相交于一点P（m，1）；（2）l1∥l2且l1过点（3，﹣1）；（3）l1⊥l2且l1在y轴上的截距为﹣1．19．（10分）如图，正方形ABCD 和正方形CDEF所在平面互相垂直，M为FC 的中点．（1）求证：AF∥平面MBD；（2）求异面直线AF与BM所成角的余弦值．20．（10分）如图，四棱锥P﹣ABCD的底面是梯形，AD∥BC，BA=AD=BC=2，∠ABC=60°，△PAB是等边三角形，平面PAB⊥平面ABCD，M是PC中点．（1）求证：DM∥平面PAB；（2）求直线BM与平面PAB所成角的大小．2014-2015学年浙江省杭州市求是高中高二（上）期中数学试卷（文科）参考答案与试题解析一、选择题：（本大题共10小题，每小题4分，共40分．在每小题给出的四个选项中，只有一项是符合题目要求的．）1．（4分）直线x=﹣1的倾斜角为（）A．0°B．45°C．90°D．135°【解答】解：因为直线的方程为x=﹣1，为垂直于x轴的直线，故直线无斜率，故直线x=﹣1的倾斜角为90°，故选：C．2．（4分）下列几何体中是旋转体的是（）①圆柱；②六棱锥；③正方体；④球体；⑤四面体．A．①和⑤B．①C．③和④D．①和④【解答】解：①圆柱是旋转体；②六棱锥是多面体；③正方体是多面体；④球体是旋转体；⑤四面体是多面体．故选：D．3．（4分）已知m，n是两条不同直线，α，β，γ是三个不同平面，以下有三种说法：①若α∥β，β∥γ，则γ∥α；②若α⊥γ，β∥γ，则α⊥β；③若m⊥β，m⊥n，n⊊β，则n∥β．其中正确说法的个数是（）A．0个 B．1个 C．2个 D．3个【解答】解：对于①，若α∥β，β∥γ，由平面平行的传递性可知，γ∥α，故①正确；对于②，若α⊥γ，β∥γ，则α⊥β，故②正确；对于③，因为n⊊β，令n在β内的射影为n′，因为m⊥β，所以m⊥n′，又m⊥n，所以n∥n′，n′⊂β，n⊊β，所以n∥β，故③正确．故选：D．4．（4分）在同一直角坐标系中，表示直线y=ax与y=x+a正确的是（）A．B．C．D．【解答】解：由y=x+a得斜率为1排除B、D，由y=ax与y=x+a中a同号知若y=ax递增，则y=x+a与y轴的交点在y轴的正半轴上；若y=ax递减，则y=x+a与y轴的交点在y轴的负半轴上；故选：C．5．（4分）在正方体ABCD﹣A1B1C1D1中，直线AC1与平面ABCD所成的角为θ，则sinθ值为（）A．B．C．D．【解答】解：如图，∵C1C⊥ABCD，∴直线AC1与平面ABCD所成的角θ=∠C1AC，设正方体ABCD﹣A1B1C1D1的棱长为1，则C1C=1，AC1=，∴sinθ=sin∠C1AC===．故选：C．6．（4分）直线（a+2）x+（1﹣a）y﹣3=0与（a﹣1）x+（2a+3）y+2=0互相垂直，则a的值为（）A．﹣1 B．1 C．±1 D．【解答】解：由题意，∵直线（a+2）x+（1﹣a）y﹣3=0与（a﹣1）x+（2a+3）y+2=0互相垂直∴（a+2）（a﹣1）+（1﹣a）（2a+3）=0∴（a﹣1）（a+2﹣2a﹣3）=0∴（a﹣1）（a+1）=0∴a=1，或a=﹣1故选：C．7．（4分）已知一水平放置的四边形的平面直观图是边长为1的正方形，那么原四边形的面积为（）A．B．2 C．2 D．4【解答】解：如图所示：该四边形的水平放置的平面直观及原四边形，由斜二测画法可知：原四边形是一个一条边长为1，其边上的高（对角线）为的平行四边形，故原四边形的面积S==．故选：C．8．（4分）若两条不同的直线与同一平面所成的角相等，则这两条直线（）A．平行B．相交C．异面D．以上皆有可能【解答】解：如图在正方体ABCD_A1B1C1D1中A1A，B1B与底面ABCD夹角相等，此时两直线平行；A1B1，B1C1与底面ABCD夹角相等，此时两直线相交；A1B1，BC与底面ABCD夹角相等，此时两直线异面；故选：D．9．（4分）一座楼房由若干个房间组成，该楼的三视图如图所示．则该楼中最高一层的那个房间在大楼的位置是（）A．右前上方B．左前上方C．右后上方D．左后上方【解答】解：由该楼的正视图知该楼中最高一层的那个房间在大楼的右侧，由该楼的侧视图知该楼中最高一层的那个房间在大楼的后方，由该楼的俯视图知该楼中最高一层的那个房间在大楼的上方，∴该楼中最高一层的那个房间在大楼右后上方．故选：C．10．（4分）在正方形SG1G2G3中，E、F分别是G1G2及G2G3的中点，D是EF的中点，现在沿SE、SF及EF把这个正方形折成一个四面体，使G1、G2、G3三点重合，重合后的点记为G，那么，在四面体S﹣EFG中必有（）A．SG⊥△EFG所在平面B．SD⊥△EFG所在平面C．GF⊥△SEF所在平面 D．GD⊥△SEF所在平面【解答】解：∵在折叠过程中，始终有SG1⊥G1E，SG3⊥G3F，即SG⊥GE，SG⊥GF，所以SG⊥平面EFG．故选：A．二、填空题：（本大题共6小题，每小题4分，共24分．）11．（4分）直线x﹣4y﹣1=0与直线2x+y﹣2=0的交点坐标是（1，0）．【解答】解：解方程组，得x=1，y=0，∴直线x﹣4y﹣1=0与直线2x+y﹣2=0的交点坐标是（1，0）．故答案为：（1，0）12．（4分）已知原点O到直线3x+4y=15的距离为3．【解答】解：原点O（0，0）到直线3x+4y=15的距离为：d==3．故答案为：3．13．（4分）设图是某几何体的三视图，则该几何体的体积为．【解答】解：由该几何体的三视图，知：该几何体的上半部分是直径为3的球，下半部分是正四棱柱，正棱柱的底是边长为3的正方形，正四棱柱的高为2，∴该几何体的体积V=+32×2=．故答案为：．14．（4分）Rt△ABC中，AB=3，BC=4，AC=5，将三角形绕直角边AB旋转一周所成的几何体的体积为16π．【解答】解：旋转一周所成的几何体是底面以BC为半径，以AB为高的圆锥，所以圆锥的体积：=16π．故答案为：16π15．（4分）已知正方体ABCD﹣A1B1C1D1中，E为C1D1的中点，则异面直线AE与BC所成的角的余弦值为．【解答】解：连接DE，设AD=2易知AD∥BC，∴∠DAE就是异面直线AE与BC所成角，在△RtADE中，由于DE=，AD=2，可得AE=3∴cos∠DAE==，故答案为：．16．（4分）设l是经过点A（3，5）的任意一条直线，原点到直线l的距离为d，则对应于d取得最大值时的直线l的方程为3x+5y﹣34=0．【解答】解：当所求直线与点A与原点的连线垂直时d取得最大值，由=可知所求直线的斜率为，故可得直线的方程为y﹣5=（x﹣3），化为一般式可得3x+5y﹣34=0，故答案为：3x+5y﹣34=0三、解答题：（本大题共4小题，共36分．解答应写出文字说明、证明过程或演算步骤．）17．（8分）已知直线l经过直线l1：3x+4y﹣2=0与直线l2：2x+y+2=0的交点P，且垂直于直线x﹣4y﹣1=0．（1）求直线l的方程；（2）求直线l与两坐标轴围成的三角形的面积S．【解答】解：（1）∵直线l经过直线l1：3x+4y﹣2=0与直线l2：2x+y+2=0的交点P，∴解方程组，得P（﹣2，2），∵l垂直于直线x﹣4y﹣1=0，∴设直线l的方程为4x+y+c=0，把P（﹣2，2）代入，得﹣8+2+c=0，解得c=6，∴直线l的方程为4x+y+6=0．（2）在直线l：4x+y+6=0中，令x=0，得y=﹣6；令y=0，得x=﹣．∴直线l与两坐标轴围成的三角形的面积：S==．18．（8分）已知两条直线l1：mx+8y+n=0和l2：2x+my﹣1=0，试分别确定m、n 的值，使：（1）l1与l2相交于一点P（m，1）；（2）l1∥l2且l1过点（3，﹣1）；（3）l1⊥l2且l1在y轴上的截距为﹣1．【解答】解：（1）由于l1与l2相交于一点P（m，1），把点P（m，1）代入l1，l2的方程得m2+8+n=0，2m+m﹣1=0，联立解得，n=﹣．（2）∵l1∥l2且l1过点（3，﹣1），∴，解得或（3）由l1⊥l2且l1在y轴上的截距为﹣1，当m=0时，l1的方程化为8y+n=0，l2的方程化为2x﹣1=0．∴﹣8+n=0，解得n=8．∴m=0，n=8．而m≠0时，直线l1与l2不垂直．综上可知：m=0，n=8．19．（10分）如图，正方形ABCD 和正方形CDEF所在平面互相垂直，M为FC 的中点．（1）求证：AF∥平面MBD；（2）求异面直线AF与BM所成角的余弦值．【解答】证明：（1）连接AC，BD交于点O，连接MO∵ABCD为正方形，∴O为AC中点∵△ACF中，M为EC中点∴MO∥AF又∵MO⊂平面MBD，AF⊄平面MBD，∴AF∥平面MBD．（2）解：根据（1）得AF∥OM，AF与BM所成角即∠OMB，设正方形边长为a，则AC=a，AF=a，MO=AF=a，MC=a∴MB==a∴cos∠BMO===．20．（10分）如图，四棱锥P﹣ABCD的底面是梯形，AD∥BC，BA=AD=BC=2，∠ABC=60°，△PAB是等边三角形，平面PAB⊥平面ABCD，M是PC中点．（1）求证：DM∥平面PAB；（2）求直线BM与平面PAB所成角的大小．【解答】（1）证明：取PB中点N，连NM，NA，∵，∴NM∥AD，NM=AD，∴四边形NMDA为平行四边形，从而DM∥AN，又AN⊂平面PAB，DM⊄平面PAB，∴DM∥平面PAB；（2）解：连接AC，则∵AB=2，BC=4，∠ABC=60°∴AC==2∴AC⊥AB∵平面PAB⊥平面ABCD，平面PAB∩平面ABCD=AB，∴AC⊥平面PAB取PA中点G，连接MG，则MG∥AC，MG=，∴MG⊥平面PAB连接GB，则∠MBG为直线BM与平面PAB所成角在正三角形PAB中，BG=AB=∴tan∠MBG==1∴∠MBG=45°，即直线BM与平面PAB所成角为45°．赠送初中数学几何模型【模型五】垂直弦模型：图形特征：运用举例：1.已知A、B、C、D是⊙O上的四个点.(1)如图1，若∠ADC＝∠BCD＝90°，AD＝CD，求证AC⊥BD；(2)如图2，若AC⊥BD，垂足为E，AB＝2，DC＝4，求⊙O的半径.2.如图，已知四边形ABCD 内接于⊙O ，对角线AC ⊥BD 于P ，设⊙O 的半径是2。

浙江省杭州二中2014—2015学年度上学期期中考试高二英语试题本试卷分第一卷（选择题）和第二卷（非选择题）两部分，共100分，考试时间90分钟。

命题：黄科校对：江晔雯审核：何玲第I卷(共65分)I：听力（满分15分）第一节（共5小题，每小题1分，满分5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. What color is the shirt?A. Yellow.B. Green.C. Blue.2. How much does the woman weigh?A. 150 pounds.B. 153 pounds.C. 170 pounds.3. What does the woman find about advertisements?A. Reliable.B. Helpful.C. Misleading.4. Where will the family probably go for a holiday?A. To the Shanghai Expo.B. To Hainan.C. To Xi’an.5. Why does the woman plan to go to the town?A. To get some money from the bank.B. To buy books in a bookstore.C. To pay her bill in the bank.第二节（共10小题，每小题1分，满分10分）听下面3段对话或独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

高中英语真题:2014-2015学年高二上学期期中考试英语试卷Part One：Listening Comprehension (30 marks)Section A (22.5 marks)Conversation 11.What does the woman think of going to see the ice sculpture?A. It is too coldB. It is tiringC.It is exciting2. Where will they go on holiday?A. To the ice cityB. ToC. To the seasideConversation 23. What does the man want to do after dinner?A. Do some cleaningB. Do his workC. Fix the new tap4. What will they probably do next?A. Cook dinnerB. See a movieC. Finish the housewor kConversation 35. Where does the man want to go?A. A schoolB. A restaurantC. A bookstore6. How much time does the man still have?A. 50 minutesB. 20 minutesC. 30 minutes Conversation 47. Who will attend the party?A. the manB. DebbyC. Mary8. What day is it today?A. ThursdayB. SaturdayC. Friday9. What will the man do on the weekend?A. Visit his grandmaB. Visit his dadC. Visit his cousin Conversation 510. What’s James’ new phone number?A. 2128361735B. 2128361725C. 215836172511. When does the woman advise the man to call James?A. In the morningB. In the afternoonC. In the evening12. What’s the probable relationship between the man and Jam es?A. ColleaguesB. FriendsC. Brothers Conversation 613. What will the man do during the holiday?A. Visit his friendB. Visit his uncleC. Hold a party14. What will the woman do?A. Go to a partyB. Watch TVC. Read books15. What does the woman think of track and field events?A. ExcitingB. Just so-soC. AmazingSection B ( 7.5 marks)Directions: In this section, you’ll hear a short passage. Listen ca refully and then fill in the numbered blanks with the information you’ve heard. Fill in each blank with NO MORE THAN 3 WORD S. You’ll hear the short passage TWICEPart Two Language Knowledge (45 marks)Section A (15 marks)21. I’ll never forget the day ______ I stayed with you on the mou ntain top.A. whatB. whenC. whichD. in which22. I am going to have my waste paper ______ away at once.A. takenB. takeC. takingD. to be taken23. _______ their task in such a short time, they asked us to give them a hand.A. FinishingB. FinishedC. To finishD.Finish24. It is said that the building to be completed next year will be ______ the old ones.A. as half big asB. half as big asC. half bigger asD. big ger half as25. The boy is looking forward _______ a gift on his birthday.A. to being givenB. to givingC. to be givenD. to have been given26. This is the ancient Chinese vase I bought three weeks ago, _____ I spent a lot of money.A. whichB. for whichC. on whichD. at which27. He sat ______ to her ______the stairs.A. to listen; to climbB. listening; to climbC. listen; to be climbingD. listening; climb28. It was in the hotel _______ he was staying ________ we disc ussed the problem.A. where, thatB. which, thatC. that, thatD. where, w hich29. When I got to school I realised I _______ my pencil box at h ome.A. leftB. have leftC. would leaveD. had left30. _______ is known to all is that the South China Sea is rich in natural resources.A. whatB. ItC. AsD. That31. The players ______ from the whole school are expected to b ring us honor in this summer games.A. to selectB. selectingC. to be selectedD. having se lected32. _________ breaks the law should be punished.A. AnyoneB. WhoC. WhomeverD. Anyone who33. ---It’s a pity that you didn’t talk much with Andy.--- Yes, the train _______ when I rushed to the station to see him off.A. had leftB. was leavingC. leftD. has left34. The manager had no plan to travel abroad with many proble ms _______.A. being unsolvedB. unsolvedC. having unsolvedD. un solving35. --- ______ the ticket for the movie?---Yes, I bought it online by group buying.A. Had you gotB. Did you getC. Have you gotD. Do y ou getSection B( 18 marks)I remember it was a Saturday. I was invited to my friend’s birthday party. For the first time, I was the first one there. I sat on h er couch and just waited 36 for the party to begin. As a flood o f guests came in with warm 37 , there was one short, thin girl who had a huge smile on her face. She just seemed so 38 the other girls there. So I decided to begin a(n) 39 with her.I asked her, “Did your mum drive you here?” She answered, “Oh, my mum is 40 .”My heart sank. I 41 , “When did she die?”“She died when I was seven.”Later on, she told us what happened the day her mother died.“I came home, 42 to tell my mum what a great day I had had. As I entered the room, I saw my mother on a stretcher(担架). I began 43 my sister. She just said, ‘Emma, Mum just nee ds to go to the hospital.’”The girl said that she went to sleep that night 44 , and woke up to be told by her sister, “Emma, please keep 45 . Mum’s de ad.”I was so moved by this girl’s story. She lost her mother at suc h a young age, but she chose to be 46 . She did not shed(流)a tear when telling us her story. Strength is something that can47 pain at the worst time. She lives every day of her life to the f ullest, even with a heavy heart.36. A. patiently B. closely C. deeply D. directly37. A. expectations B. greetings C. company D. praise38. A. common with B. distant from C. different from D. simil ar to39. A. argument B. conversation C. friendship D. deal40. A. ill B. mad C. lost D. dead41. A. stopped B. continued C. cried D. complained42. A. embarrassed B. excited C. nervous D. grateful43. A. blaming B. hitting C. questioning D. missing44. A. aimless B. regretful C. angry D. stressed45. A. crazy B. awake C. calm D. happy46. A. energetic B. independent C. upset D. strong47. A. protect B. fight C. cause D. suffer Section C (12 marks)Eating snakes seems to be now in vogue (盛行), and if you haven’t eaten snakes yet, you are considered “o ut of date”. But I wonder 48 all the trends( 时髦 ) are worth following.Some people may defend(辩护) themselves 49 saying snake meat is nutritious (有营养的). But these people don’t realize that many parasites (寄生虫)， 50 do harm to our health, are found inside snakes.According 51 a survey, about 1000 tons of snakes are eaten every year in China and sometimes as 52 as 10，000 snakes are served on dinner tables in Shenzhen in a single day!These figures warn us that if no action is taken, 53 number of snakes will drop and there will be an increase in mice and wor ms, which will result 54 decrease of crop output. Who will se e such tragedy happen?So let’s start not to eat snakes any more, because “to protect th e snake is to protect 55 . ”Part Ⅲ Reading Comprehension (30 marks)Ato speak English is better. Nothing can match the excitement an d happiness when a native speaker tells you that your English is very good!Finally, in order to speak English well, you must be persistent and do it every day. It is like playing the piano. Pianists play it e very day and so should you. Include English in your life and you will see where it is going. Practice, practice! Read, write and im prove your language skills and you are on your way when you will be able to speak it with more and more confidence!56. Which of the following would be the best title for the passag e?A. How to Improve Your Listening abilityB. How to Speak English WellC. How to learn English wellD. English reading57. What does the writer suggest about reading in the second p aragraph?A. Trying to improve your vocabularyB. Keeping on reading when you have timeC. Stopping when you have a good basis of EnglishD. Looking up every unknown word when reading58. In the writer’s eyes, the essential(必要的) way to improve your speaking skills is ______.A. practicingB. going abroadC. listeningD. writing59. The main idea of the last paragraph is that ________.A. we should play the piano every day.B. speaking English is fun and entertainingC. we should practice English every day to improve our speakin g skillsD. Going abroad to learn English is important.60. According to the third paragraph, what may make the autho r excited?A. Reading papers and Internet sites.B. Having a good basis of EnglishC. Going to an English-speaking countryD. A native speaker’s praiseBOne night about nine o’clock, Dr. Eyck, a surgeon, had a pho ne call from Dr. Haydon at the hospital in . The surgeon was as ked to go there at once to operate on a very sick boy who shot himself while playing with a gun.The doctor was soon on his way to . It was 60 miles away. And it was snowing heavily in the city. The surgeon thought he c ould get there before 12 o’clock.A few minutes later, the doctor was stopped by a man in an ol d black coat. Gun in hand, the man ordered the doctor to go out . Then the man drove the car down the road, leaving the doctor in the falling snow.It was after two o’clock in the morning when the doctor arrived at the hospital in . Dr. Haydon told him that the boy had died a n hour before.The two doctors walked by the door of the hospital waiting roo m. There sat the man in the old black coat with his head in his h ands.“Mr,Cunningham,” said Dr. Haydon to the man, “this is Dr. Ey ck. He is the surgeon(外科医生) who came all the way from Albany to save your boy.”61. Dr. Haydon asked Dr. Eyck to come to because ________.A. Dr. Eyck was the only surgeon in the hospital.B. the boy needed his helpC. Dr. Haydon was not a surgeonD. Dr. Eyck was his assistant.62. The surgeon was late because _________.A. he was stopped by a robber.B. the weather was rather terrible.C. Clens Falls was far away from .D. his car was taken away.63. Choose the right order of the events given in the story.a. Dr. Eyck was asked to come to the hospital in .b. Dr. Eyck arrived at the hospital.c. The boy shot himself.d. The boy died.e. The man in an old coat reached the hospital.f. Dr. Eyck was robbed of his car.A. c,a,e,f,d,bB. a,c,f,d,b,eC. c,a,f,e,d,bD. a,c,f,e,d b64. The boy died because __________.A. he was too far away from hospitalB. Dr. Haydon didn’t do anything to save himC. Dr. Eyck was not able to arrive at the hospital in time.D. something was wrong with Dr. Eyck’s car65. Who should be responsible for the boy’s death?A. The boy’s fatherB. The hospitalC. Dr. EyckD. Dr. H aydonCThe Oregonian(俄勒冈报) is the daily newspaper for the state(国家) of Oregon. Since it is published in the largest city, which is Portland, most of the readers live within 50 miles of Portland. From Monday to Saturday, the paper has about 75 pages, of w hich 20 pages are advertisements. It normally has 5 sections w hich are called Nation, Sports, Metro(大都会), Living and Business.Nation is national news mostly with some international news ab out earthquakes, floods, and tensions(紧张)around the world. Sports cover the professional sports in sea son, college sports, and high school sports. Metro is local news of the city of which includes political stories, crimes, and good neighbor articles. Living is the section with television programs, movies, comics, music, stories about pets, and advice. Busines s has listing of more than 10,000 stocks and a regular report ab out the stock market and business news. The advertising sectio n includes apartments and houses, employment opportunities a nd items to buy, especially cars and trucks.On Sunday, the paper is very large weighing more than two kilos. There are additional sections called Art, Books, International, and Travel. Since this is the day most Americans do not work, t hey have more time for reading. Each of the daily sections is lo nger so the newspaper is twice the size of the daily sections. H owever, the advertisements are nearly as many pages as the n ews on Sunday so the entire paper is more than four times larg er than the daily paper.Some companies print their own advertisements and pay to put them in The Oregonian. These include grocery(杂货) stores, clothing stores, car agencies(代理处), camera and video equipment stores, toy stores, and compu ter stores. All of the companies feel that the best way to adverti se is to put a beautiful color advertisement every Sunday.66. The Sunday edition of The Oregonian probably has _____.A. 75 pagesB. less than 300 pagesC. more than 300 pagesD. less than 75 pages67. If you want to seek information about the stock market from The Oregonian, you refer to the section “_____”.A. MetroB. LivingC. NationD. Business68. Who are the regular readers of The Oregonian ?A. All the Americans.B. Residents of the area.C. Businessmen.D. People who have more time to read n ewspapers.69. Which of the following is not the reason why the Sunday pa per is very large?A. it adds four additional sectionsB. it has five sections in totalC. most Americans do not work that dayD. some companies like to print advertisements in it70. Which of the following is NOT true?A. The Sunday edition of The Oregonian doesn’t include S ports or Nation.B. The Oregonian is printed in Porland.C. The Oregonian offers housing information every day.D. Portland is located in .Part IV Writing (45marks)Section A (10 marks)Filling in company application forms can become a boring and repetitive task, yet any carelessness on an applicant’s(申请人) part can draw a negative reaction from readers. Blowing it a t this stage, you won’t get a chance to persuade them in person , no matter how good you are. Each company or organization u sually uses its own specially designed form that, although it gen erally asks for the same basic information, may vary in detail. S o the suggestions below will help you to know what to do rather than what you should write.Prepare your personal data record in advance. When visiting fut ure employers, always carry it with you so that you can readily s earch for details such as dates, telephone, numbers and other useful information.Treat every application form as though it is the first one you are completing-write not only carefully but also neatly.Use words that describe each job you have held as fully as pos sible rather than list only the duties you performed. Particularly describe social activities that show your involvemen t(参与) in the community or in the activities in which you held a teac hing or coaching role.Pay particular attention if there is a section on the form that ask s you to say how your education and past experience have esp ecially prepared you for the position.Think this through very carefully before you write so that what y ou say shows a natural progression from past experience to the job you are applying for. If you can, and if they fit naturally, add a few words to explain how the position fits your overall career plan. Follow these suggestions and you can get your foot in the door of a great future!Title: How to Fill in_____71_______Section B (10 marks)My grandfather was a wonderful gardener. As long as I could remember, he had grown a garden full of vegetables in the bac k of his yard. He grew different kinds of vegetables. One year h e even tried pumpkin. The pumpkins did turn out well.As children, my sister and I would spend time looking after th e garden with him. We would learn about planting seeds. My gr andfather would show us how the beans would climb up the fen ce and he built up beyond the fence to let them climb even high er. I was always surprised to see them grow even taller than me .The pride of my grandfather’s garden was his tomatoes. Ever y year as soon as the tomato plants bloomed, I would ask my gr andfather when we could eat the tomatoes. He would say, “Not yet.”I would ask the next week, “ Can we pick them yet?”He would answer, “Not yet.”Finally, I would be sure that they were ripe(成熟的). When so many bright red tomatoes hung on the branches, I would go up to my grandfather and ask, “Can we pick them now?”He enjoyed seeing my sister and I eat the tomatoes. I think th e garden was my grandfather’s way of sharing his blessings wit h those around him. The garden always had more than enough produce for my grandparents and for my family, so he would giv e some to anyone who would accept. He hoped we could pass his generosity to others.As he grew older, I would look after the garden for him. My gr andfather never expected me to do all of it for him, but I could al ways see the pride on his face when everything was complete.81. What vegetables were mentioned in the passage which were planted in grandfather’s garden? (no more than 4) (2 marks) ________________________________________________________ ___82. What surprised the author? (no more than 9 words) (2 m arks)________________________________________________________ ___83. What would the author do when the tomato plants bloomed ? (no more than 12 words) (3 marks)________________________________________________________ _____________84. What kind of person was the author’s grandfather? (no mo re than 8 words)(3 marks)________________________________________________________ _____________Section C (25 marks)今天是10月10日，本周六(10月11日)学校将为高一年级学生举行一场题为“美国高中教育”的讲座，请你以学生会(the Students’ Union)的名义用英语写一篇100词左右的NOTICE。

浙江省普通高中2014-2015学年高二上学期期中模拟测试英语试题Ⅰ（人教版）第一部分英语知识运用（共两节，满分30分）第一节单项填空（共20小题；每小题0.5分，满分10分）1. — Shall we make an appointment at 6:30 pm tomorrow?—. I’ll wait for you in Blue Moon. It’s my treat this time.A. It’s up to youB. It’s all righ tC. It’s my pleasureD. It all depends2. — Have you heard news?—Yeah. It’s great pity that David Beckham will retire after this season.A. 不填; theB. 不填; aC. the; theD. the; a3. Such a mistake could have been avoided. However, Jack the mistake over and over again.A. repeatedB. have repeatedC. is repeatingD. had repeated4. The big boy looked at me angrily, with his arms before his chest. And I felt very frightened and ran away quickly.A. foldingB. to foldC. foldedD. having folded5. We will start to rebuild the historic buildings the moment our plan is by the committee.A. attractedB. acquiredC. attendedD. approved6. Susan said you can’t work out the question within half an hour. Are you going to her challenge?A. make upB. take upC. speed upD. sweep up7. —Didn’t you enjoy yourself in Taiwan?— Well, we a better time, but the hurricane spoiled our holiday.A. must haveB. must have hadC. could haveD. could have had8. If you continue to spend your money on those expensive clothes, you will find yourself in a situationyou can’t pay your debts.A. whereB. thatC. whichD. when9. I advise you to be about what you say bec ause careless words are likely to hurt others’ feelings.A. curiousB. cautiousC. sensitiveD. consistent10. — These tourists look very angry.— Yes. They in Hong Kong. Now they are negotiating with the travel agency.A. are badly treatedB. have badly treatedC. were badly treatedD. had badly treated11. Hardly his speech when he was surrounded by the excited college students.A. had the scientist finishedB. the scientist had finishedC. did the scientist finishD. the scientist finished12. As a matter of fact, I still find difficult to get along well with Tony, though we have known each other for several months.A. thisB. thatC. itD. one13. My parents have promised that on my return they for me at the airport.A. are waitingB. will be waitingC. will have waitedD. wait14. —I’d like to have the bandage removed.—Don’t do anything by yourself. Leave it until the doctor tells you to remove it.A. in chargeB. in returnC. in placeD. in advance15. The doctor suggested that my father exercise for at least half an hour every morning.A. takesB. will takeC. would takeD. take16. The concept was first in 1990 by the World Health Organization, which said that the “five-a-day” diet could prevent cancer and other chronic diseases.A. put forwardB. put outC. put downD. put on17. Economy should be developed to raise people’s living standards. , measures should be taken to prevent pollution caused by the economic development.A. FurthermoreB. ThereforeC. OtherwiseD. Meanwhile18. The race seemed to go smoothly at the beginning. Then that some runners and audience got injured in the bomb explosion.A. came the bad newsB. the bad news cameC. did the bad news comeD. the bad news did come19. When I came into the classroom, I found my friend, Peter, sitting in his chair, completely in a detective novel.A. absorbingB. absorbedC. to be absorbedD. being absorbed20.—made Helen so upset?— Well, her hometown was struck by the hurricane this afternoon.A. Why was it thatB. Why it was thatC. What was it thatD. What it was that第二节完形填空（共20小题；每小题1分，满分20分）“Who did this?” asked my teacher. Thirty child ren tried to 21 what they had done. “Who did this?” asked my teacher once more. She wasn’t really asking, she was demanding a(n)22 . She seldom became 23 , but she was this time. She held up a piece of glass and asked, “Who 24 this window?” Unfortunately, I was the one who broke the window. I had not done it 25 . It was caused by an errant (偏离的) throw of a baseball. Why did it have to be me? If I admitted guilt, how would I be able to pay for a big 26 like that? I didn’t want to confess (坦白) it, but something strong inside my body made me 27 my hand. I told the 28 . “I did it.” I s aid no more. My teacher went to one of our library shelves and took down a 29 . She then began walking towards me. I knew my teacher had never 30 a student, but I 31 she was going to start with me and she was going to use a book for the swatting (重击). “I know how you like 32 ,” she said as she stood looking down at my guilt-ridden face. “Here is that book about birds that you constantly 33 out. It is yours. It’s time we get a(n) 34 one for the school anyway. The book is yours and you will not be 35 as long as you remember that I am not rewarding you for your misdeed, but I am rewarding you for your 36 .”I couldn’t 37 it! I wasn’t being punished, and I was getting my favorite book, the38 one that I had been saving up money to buy! What happened that day has deeply rooted in my memory and the 39 my teacher taught me that day will last 40 .21. A. look after B. look over C. get over D. think about22. A. letter B. answer C. question D. problem23. A. angry B. happy C. excited D. sorry24. A. closed B. opened C. broke D. repaired25. A. on purpose B. by accident C. in demand D. on time26. A. door B. table C. plate D. window27. A. give B. raise C. change D. hold28. A. lie B. secret C. truth D. question29. A. book B. picture C. map D. cartoon30. A. fired B. warned C. helped D. beaten31. A. wondered B. feared C. regarded D. explained32. A. fish B. pets C. birds D. animals33. A. check B. take C. put D. watch34. A. old B. strange C. new D. beautiful35. A. fined B. found C. taught D. punished36. A. honesty B. dream C. progress D. study37. A. accept B. believe C. guess D. refuse38. A. nice B. little C. very D. big39. A. lesson B. lecture C. art D. method40. A. never B. still C. ever D. forever第二部分阅读理解（第一节20小题，第二节5小题；每小题2分，满分50分）第一节阅读下列材料，从每题所给的四个选项（A、B、C、D）中，选出最佳选项。

2014-2015学年浙江省杭州市求是高中高二（上）期中数学试卷（文科）学校:___________姓名：___________班级：___________考号：___________一、选择题(本大题共10小题，共40.0分)1.直线x=-1的倾斜角为（）A.0°B.45°C.90°D.135°【答案】C【解析】解：因为直线的方程为x=-1，为垂直于x轴的直线，故直线无斜率，故直线x=-1的倾斜角为90°，故选C直线x=-1，为垂直于x轴的直线，故直线无斜率，进而可得其倾斜角．本题考查直线的斜率与倾斜角的关系，是基础题．2.下列几何体中是旋转体的是（）①圆柱；②六棱锥；③正方体；④球体；⑤四面体．A.①和⑤B.①C.③和④D.①和④【答案】D【解析】解：①圆柱是旋转体；②六棱锥是多面体；③正方体是多面体；④球体是旋转体；⑤四面体是多面体．故选D．利用旋转体的概念直接进行判断．本题考查旋转体的定义，是基础题．解题时要认真审题，仔细解答．3.已知m，n是两条不同直线，α，β，γ是三个不同平面，以下有三种说法：①若α∥β，β∥γ，则γ∥α；②若α⊥γ，β∥γ，则α⊥β；③若m⊥β，m⊥n，n⊊β，则n∥β．其中正确说法的个数是（）A.0个B.1个C.2个D.3个【答案】D【解析】解：对于①，若α∥β，β∥γ，由平面平行的传递性可知，γ∥α，故①正确；对于②，若α⊥γ，β∥γ，则α⊥β，故②正确；对于③，因为n⊊β，令n在β内的射影为n′，因为m⊥β，所以m⊥n′，又m⊥n，所以n∥n′，n′⊂β，n⊊β，所以n∥β，故③正确．故选：D．①利用空间平面平行的传递性可判断①；②利用面面平行的性质可判断②；③利用线面垂直的性质与线面平行的判定定理可判断③．本题考查空间线面平行、面面平行的判定与性质，考查空间想象能力，是对空间线面位置关系等基础知识的考查．4.在同一直角坐标系中，表示直线y=ax与y=x+a正确的是（）A. B. C. D.【答案】C【解析】解：由y=x+a得斜率为1排除B、D，由y=ax与y=x+a中a同号知若y=ax递增，则y=x+a与y轴的交点在y轴的正半轴上；若y=ax递减，则y=x+a与y轴的交点在y轴的负半轴上；故选C．本题是一个选择题，按照选择题的解法来做题，由y=x+a得斜率为1排除B、D，由y=ax 与y=x+a中a同号知若y=ax递增，则y=x+a与y轴的交点在y轴的正半轴上；若y=ax 递减，则y=x+a与y轴的交点在y轴的负半轴上，得到结果．本题考查确定直线为主的几何要素，考查斜率和截距对于一条直线的影响，是一个基础题，这种题目也可以出现在直线与圆锥曲线之间的图形的确定．5.在正方体ABCD-A1B1C1D1中，直线AC1与平面ABCD所成的角为θ，则sinθ值为（）A. B. C. D.【答案】C【解析】解：如图，∵C1C⊥ABCD，∴直线AC1与平面ABCD所成的角θ=∠C1AC，设正方体ABCD-A1B1C1D1的棱长为1，则C1C=1，AC1=，∴sinθ=sin∠C1AC===．故选C．由C1C⊥ABCD，知直线AC1与平面ABCD所成的角θ=∠C1AC，由此能求出sinθ的值．本题考查线面角的正弦值的求法，解题时要认真审题，仔细解答，注意合理地化空间问题为平面问题．6.直线（a+2）x+（1-a）y-3=0与（a-1）x+（2a+3）y+2=0互相垂直，则a的值为（）A.-1B.1C.±1D.【答案】C【解析】解：由题意，∵直线（a+2）x+（1-a）y-3=0与（a-1）x+（2a+3）y+2=0互相垂直∴（a+2）（a-1）+（1-a）（2a+3）=0∴（a-1）（a+2-2a-3）=0∴（a-1）（a+1）=0∴a=1，或a=-1故选C．根据两条直线垂直的充要条件可得：（a+2）（a-1）+（1-a）（2a+3）=0，从而可求a 的值本题以直线为载体，考查两条直线的垂直关系，解题的关键是利用两条直线垂直的充要条件．7.已知一水平放置的四边形的平面直观图是边长为1的正方形，那么原四边形的面积为（）A. B.2 C.2 D.4【答案】C【解析】解：如图所示：该四边形的水平放置的平面直观及原四边形，由斜二测画法可知：原四边形是一个一条边长为1，其边上的高（对角线）为的平行四边形，故原四边形的面积S==．故选C．利用斜二测画法的规则即可求出．熟练掌握斜二测画法是解题的关键．8.若两条不同的直线与同一平面所成的角相等，则这两条直线（）A.平行B.相交C.异面D.以上皆有可能【答案】D【解析】解：如图在正方体ABCD_A1B1C1D1中A1A，B1B与底面ABCD夹角相等，此时两直线平行；A1B1，B1C1与底面ABCD夹角相等，此时两直线相交；A1B1，BC与底面ABCD夹角相等，此时两直线异面；故选A根据直线与平面所成的角的定义，可得两条不同的直线与同一平面所成的角相等，则两条直线可能平行，可能相交，也可能异面本题考查的知识点是空间直线与直线之间的位置关系，熟练掌握空间直线与直线位置关系的定义及几何特征是解答的关键．9.一座楼房由若干个房间组成，该楼的三视图如图所示．则该楼中最高一层的那个房间在大楼的位置是（）A.右前上方B.左前上方C.右后上方 D.左后上方【答案】C【解析】解：由该楼的正视图知该楼中最高一层的那个房间在大楼的右侧，由该楼的侧视图知该楼中最高一层的那个房间在大楼的后方，由该楼的俯视图知该楼中最高一层的那个房间在大楼的上方，∴该楼中最高一层的那个房间在大楼右后上方．故选C．由该楼的三视图，逐步判断该楼中最高一层的那个房间在大楼的位置．本题考查三视图的应用，解题时要认真审题，仔细解答，注意空间想象能力的培养．10.在正方形SG1G2G3中，E、F分别是G1G2及G2G3的中点，D是EF的中点，现在沿SE、SF及EF把这个正方形折成一个四面体，使G1、G2、G3三点重合，重合后的点记为G，那么，在四面体S-EFG中必有（）A.SG⊥△EFG所在平面B.SD⊥△EFG所在平面C.GF⊥△SEF所在平面D.GD⊥△SEF所在平面【答案】A【解析】解：∵在折叠过程中，始终有SG1⊥G1E，SG3⊥G3F，即SG⊥GE，SG⊥GF，所以SG⊥平面EFG．故选A．根据题意，在折叠过程中，始终有SG1⊥G1E，SG3⊥G3F，即SG⊥GE，SG⊥GF，由线面垂直的判定定理，易得SG⊥平面EFG，分析四个答案，即可给出正确的选择．线线垂直可由线面垂直的性质推得，直线和平面垂直，这条直线就垂直于平面内所有直线，这是寻找线线垂直的重要依据．垂直问题的证明，其一般规律是“由已知想性质，由求证想判定”，也就是说，根据已知条件去思考有关的性质定理；根据要求证的结论去思考有关的判定定理，往往需要将分析与综合的思路结合起来．二、填空题(本大题共6小题，共24.0分)11.直线x-4y-1=0与直线2x+y-2=0的交点坐标是______ ．【答案】（1，0）【解析】解：解方程组，得x=1，y=0，∴直线x-4y-1=0与直线2x+y-2=0的交点坐标是（1，0）．故答案为：（1，0）解方程组得到直线x-4y-1=0与直线2x+y-2=0的交点坐标．本题考查两条直线的交点坐标的求法，是基础题．解题时要认真审题，仔细解答．12.已知原点O到直线3x+4y=15的距离为______ ．【答案】3【解析】解：原点O（0，0）到直线3x+4y=15的距离为：d==3．故答案为：3．利用点到直线的距离公式求解．本题考查点到直线的距离的求法，是基础题，解题时要认真审题，注意点到直线的距离公式的合理运用．13.设图是某几何体的三视图，则该几何体的体积为______ ．【答案】【解析】解：由该几何体的三视图，知：该几何体的上半部分是直径为3的球，下半部分是正四棱柱，正棱柱的底是边长为3的正方形，正四棱柱的高为2，∴该几何体的体积V=+32×2=．故答案为：．由该几何体的三视图，知该几何体的上半部分是直径为3的球，下半部分是正四棱柱，正棱柱的底是边长为3的正方形，正四棱柱的高为2，由此能求出该几何体的体积．本题考查由几何体的三视图求几何体的体积，是基础题．解题时要认真审题，仔细解答．14.R t△ABC中，AB=3，BC=4，AC=5，将三角形绕直角边AB旋转一周所成的几何体的体积为______ ．【答案】16π【解析】解：旋转一周所成的几何体是底面以BC为半径，以AB为高的圆锥，所以圆锥的体积：=16π．故答案为：16πR t△ABC中，AB=3，BC=4，AC=5，将三角形绕直角边AB旋转一周所成的几何体是圆锥，推出底面半径和高，即可求出几何体的体积．本题是基础题，考查旋转体的体积，正确推测几何体的图形形状，求出有关数据，是本题的关键．15.已知正方体ABCD-A1B1C1D1中，E为C1D1的中点，则异面直线AE与BC所成的角的余弦值为______ ．【答案】【解析】解：连接DE，设AD=2易知AD∥BC，∴∠DAE就是异面直线AE与BC所成角，在△R t ADE中，由于DE=，AD=2，可得AE=3∴cos∠DAE==，故答案为：．根据题意知AD∥BC，∴∠DAE就是异面直线AE与BC所成角，解三角形即可求得结果．此题是个基础题．考查异面直线所成角问题，求解方法一般是平移法，转化为平面角问题来解决，体现了数形结合和转化的思想．16.设l是经过点A（3，5）的任意一条直线，原点到直线l的距离为d，则对应于d取得最大值时的直线l的方程为______ ．【答案】3x+5y-34=0【解析】解：当所求直线与点A与原点的连线垂直时d取得最大值，由=可知所求直线的斜率为，故可得直线的方程为y-5=（x-3），化为一般式可得3x+5y-34=0，故答案为：3x+5y-34=0由题意当所求直线与点A与原点的连线垂直时d取得最大值，进而可得其斜率，由点斜式方程可得，化为一般式即可．本题考查直线方程的求解，得出当所求直线与点A与原点的连线垂直时d取得最大值是解决问题的关键，属基础题．三、解答题(本大题共4小题，共36.0分)17.已知直线l经过直线l1：3x+4y-2=0与直线l2：2x+y+2=0的交点P，且垂直于直线x-4y-1=0．（1）求直线l的方程；（2）求直线l与两坐标轴围成的三角形的面积S．【答案】解：（1）∵直线l经过直线l1：3x+4y-2=0与直线l2：2x+y+2=0的交点P，∴解方程组，得P（-2，2），∵l垂直于直线x-4y-1=0，∴设直线l的方程为4x+y+c=0，把P（-2，2）代入，得-8+2+c=0，解得c=6，∴直线l的方程为4x+y+6=0．（2）在直线l：4x+y+6=0中，令x=0，得y=-6；令y=0，得x=-．∴直线l与两坐标轴围成的三角形的面积：S==．【解析】（1）解方程组，得P（-2，2），由l垂直于直线x-4y-1=0，设直线l 的方程为4x+y+c=0，由此能求出直线l的方程．（2）在直线l：4x+y+6=0中，令x=0，得y=-6；令y=0，得x=-．由此能求出直线l与两坐标轴围成的三角形的面积．本题考查直线的方程的求法，考查直线与两坐标轴围成的面积的求法，是基础题，解题时要认真审题，注意直线方程性质的合理运用．18.已知两条直线l1：mx+8y+n=0和l2：2x+my-1=0，试分别确定m、n的值，使：（1）l1与l2相交于一点P（m，1）；（2）l1∥l2且l1过点（3，-1）；（3）l1⊥l2且l1在y轴上的截距为-1．【答案】解：（1）由于l1与l2相交于一点P（m，1），把点P（m，1）代入l1，l2的方程得m2+8+n=0，2m+m-1=0，联立解得，n=-．（2）∵l1∥l2且l1过点（3，-1），∴，解得或（3）由l1⊥l2且l1在y轴上的截距为-1，当m=0时，l1的方程化为8y+n=0，l2的方程化为2x-1=0．∴-8+n=0，解得n=8．∴m=0，n=8．而m≠0时，直线l1与l2不垂直．综上可知：m=0，n=8．【解析】（1）由于l1与l2相交于一点P（m，1），把点P（m，1）代入l1，l2的方程得m2+8+n=0，2m+m-1=0，联立解得即可．（2）由于l1∥l2且l1过点（3，-1），根据平行线的斜率相等及点适合直线l1的方程可得，解得即可；（3）由l1⊥l2且l1在y轴上的截距为-1，当m=0时，l1的方程化为8y+n=0，l2的方程化为2x-1=0．可得-8+n=0，解得即可．而m≠0时，直线l1与l2不垂直．本题考查了直线的平行、垂直与斜率的关系、直线相交问题，属于中档题．19.如图，正方形ABCD和正方形CDEF所在平面互相垂直，M为FC的中点．（1）求证：AF∥平面MBD；（2）求异面直线AF与BM所成角的余弦值．【答案】证明：（1）连接AC，BD交于点O，连接MO∵ABCD为正方形，∴O为AC中点∵△ACF中，M为EC中点∴MO∥AF又∵MO⊂平面MBD，AF⊄平面MBD，∴AF∥平面MBD．（2）解：根据（1）得AF∥OM，AF与BM所成角即∠OMB，设正方形边长为a，则AC=a，AF=a，MO=AF=a，MC=a∴MB==a∴cos∠BMO===．【解析】（1）连接AC，BD交于点O，连接MO，可得△ACF中，MO为中位线，即MO∥AF，进而由线面平行的判定定理可得AF∥平面MBD；（2）由（1）中MO∥AF，可得AF与BM所成角即∠OMB，解三角形可得：异面直线AF与BM所成角的余弦值．本题考查的知识点是异面直线及其所成的角，直线与平面平行的判定，难度中档．20.如图，四棱锥P-ABCD的底面是梯形，AD∥BC，BA=AD=BC=2，∠ABC=60°，△PAB是等边三角形，平面PAB⊥平面ABCD，M是PC中点．（1）求证：DM∥平面PAB；（2）求直线BM与平面PAB所成角的大小．【答案】（1）证明：取PB中点N，连NM，NA，∵，，，，∴NM∥AD，NM=AD，∴四边形NMDA为平行四边形，从而DM∥AN，又AN⊂平面PAB，DM⊄平面PAB，∴DM∥平面PAB；（2）解：连接AC，则∵AB=2，BC=4，∠ABC=60°∴AC==2∴AC⊥AB∵平面PAB⊥平面ABCD，平面PAB∩平面ABCD=AB，∴AC⊥平面PAB取PA中点G，连接MG，则MG∥AC，MG=，∴MG⊥平面PAB连接GB，则∠MBG为直线BM与平面PAB所成角在正三角形PAB中，BG=AB=∴tan∠MBG==1∴∠MBG=45°，即直线BM与平面PAB所成角为45°．【解析】（1）取PB中点N，连NM，NA，证明四边形NMDA为平行四边形，可得DM∥AN，利用线面平行的判定，可得线面平行；（2）取PA中点G，连接MG，连接GB，则∠MBG为直线BM与平面PAB所成角，从而可得结论．本题考查线面平行，考查线面角，考查学生分析解决问题的能力，正确作出线面角是关键．。

杭州市育新高级中学2014学年第一学期期中质量检测高二英语试卷（本卷满分100分，考试时间80分钟）请将选择题答案涂写在答题卡上，非选择题答案填写在答题卷上一、单选题（本题有10小题，每小题1分，共10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. I feel it is your husband who ________ for the spoiled child..A. is to blameB. is going to blameC. is to blamedD. should blame2. It’s very dangerous to be _________ to the SARS virus without any protection.A. disclosedB. uncoverC. affectedD. exposed3. He suggests we _______ to the cinema at once, otherwise we _______ late.A. must go; areB. go ; will beC. will go ; will beD. would go ; are4. Our class _______ of thirty-two boys and twenty-three girls.A. composesB. concludesC. consistsD. contains5. The information on the Internet gets around much more rapidly than _____in the newspaper.A. thatB. itC. thoseD. one6. The result of the test was rather ________. He was very ______ at the result.A. disappointed; disappointedB. disappointing; disappointingC. disappointed; disappointingD. disappointing; disappointed7. The party was _______ big success and we had ______ great fun last night.A. a ; 不填B. the; 不填C. the; theD. 不填; the8. I’m afraid that I can’t make myself _________ because of my poor English.A. understandB. understandingC. to understandD. understood9. John couldn’t finish his words ___________ something had struck his thr oat.A. thoughB. as thoughC. whenD. since10. —Excuse me, can you tell me how to get to the airport?—________.A. Sorry, you could go by busB. No, I don't know howC. Certainly, you can take the No. 3 busD. Along this road二、完形填空（本题有15小题，每小题2分，共15分）阅读下面的材料，掌握其大意，然后在11～25各题所给的A、B、C、D四个选项中，选出最佳选项。

2019-2020学年杭州市求是高级中学高三英语上学期期中考试试卷及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项AMarch means spring inSt. Louis. The city hosts plenty of events — both indoor and outdoor — that make March a perfect crowd-free month to visit. You may even want to plan your trip around it.See the Butterflies at Morpho Mardi GrasPHONE +1314-577-0888In the Butterfly House inFaustPark, thousands of bright blue butterflies are on display. These butterflies — types found mostly in South America, Mexico, and Central America — include over 29 different species and 147 subspecies(亚种）, making the venue a wonderful place for kids, as they can learn about the critical role butterflies play in nature.Enjoy March Madness with Arch MadnessPHONE +1314-622-5400March is the best time of the year for basketball fans. The action inSt. Louisbegins with March Madness, the Missouri Valley Conference Tournament. Games take place during the first week in March at theScottradeCenter.Catch a Fabulous Fox Theatre Broadway ShowPHONE +1314-534-1111Each month, the Fabulous Fox Theatre hosts a variety of touring Broadway shows. And while tickets are slightly cheaper than that inNew York City, the quality of the performances doesn’t lack one bit. Check the schedule and buy tickets ahead of time, as the shows generally fill the venue.Celebrate World Eagle Day at the World Bird SanctuaryPHONE +1636-225-4390World Eagle Day is celebrated with live eagle presentations, educational activities and games. Learn aboutAmerica’s national symbol, as well as other foreign species. Get your photo taken with your favorite bird or adopt an eagle.1. Which of the following is attractive to kids?A. Seeing the Butterflies at Morpho Mardi Gras.B. Enjoying March Madness with Arch Madness.C. Catching a Fabulous Fox Theatre Broadway Show.D. Celebrating World Eagle Day at the World Bird Sanctuary.2. If you are a basketball fan, you can call________.A. +1314-577-0888B. +1314-622-5400C. +1314-534-1111D. +1636-225-43903. Why does the author recommend the Fabulous Fox Theatre?A. It is one of the branches of Broadway.B. It isnot far away fromNew York City.C. It doesn't charge the audience for tickets.D. It provides wonderful shows with cheaper tickets.BMany of us in China enjoy adding chilies (辣椒) toour food, but did you know that this spicy vegetable could also be dangerous? A 34-year-oldUSman recently ended up in hospital after eating a Carolina Reaper—the spiciest chili in the world. After taking just a single bite of one, the man suffered from serious headaches in the following few days, reported BBC News.In fact, reports of stomachache and headache caused by eating spicy food are not something unusual. But if chilies are harmful, why is it that human beings are the only animals to eat this vegetable? According to the website Huanqiu, about 600 million Chinese people—almost half of the national population—are chili eaters. So what makes people love chilies so much? The human body reacts to the burning feeling that comes from eating chilies by releasing natural chemicals that “produce a sense of happiness” , noted BBC News.And the benefits go even further than just personal enjoyment. A survey conducted by the Chinese Academy of Medical Sciences found that the death rate of those who eat spicy food once or twice a week is 10 percent lower than those who eat it less than once a week. The number decreased to 14 percent for those who eat spicy food six to seven times a week. And another study done by theUniversityofVermontcame to a similar conclusion. “The data encourages people to eat more spicy food to improve health and reduce death risk at an early age,” Liu Qi, a nutritionist at the Harvard TH Chan School of Public Health, told BBC News.Chilies have anti-cancer quality and the ability to increase our metabolism (新陈代谢). So, don't worry if you love spicy food. It seems that chilies are actually good for us—except for the Carolina Reaper, perhaps.4. The example of a 34-year-old American is mentioned in Paragraph 1 to prove ________.A. chiliescan be beneficialB. chilies are popular inAmericaC. chilies can be dangerousD. serious headaches can be dangerous5. Eating chilies gives people a sense of happiness by_______.A. decreasing death rateB. releasing natural chemicalsC. curing serious headachesD. providing enough nutrition6. Which of the following statement is TRUE?A. Human are the only animals to eat chilies.B. Stomachache and headaches caused by chilies is something unusual.C. The more chilies you eat, the healthier you are.D. Chilies have anti-cancer quality but it can't increase our metabolism.7. The writer wrote the passage to ________.A. warn people of the dangers of chiliesB. ask people to eat Carolina ReaperC. encourage people to eat more chiliesD. tell people the benefits of chiliesCCraig Blackburn, a father and car fan, built a Batmobile for his son’s hope for using the vehicle to brighten the lives of sick children. And now he hopes to use it for more than just his sons hope after seeing the childrens reaction to the Batmobile.Based on the number of failures he had seen in car groups, he estimated that only about one in 50 attempted constructions was actually finished and he realized what an incredible opportunity he had.Mr. Blackburn started the project at the beginning of 2018 after hearing a friend in the US was doing the same thing. It started with importing an outer shell overseas, before picking brains of a friend who had a background as a worker in a car factory to gain knowledge of how to build the car. With the help of his friend, Mr. Blackburn built the Batmobile in 18 months with the cost reaching six figures.Mr.Blackburn hoped to add a flamethrower(喷火器)onto the back of the vehicle and said he had thought about building the more recent Batman Tumbler from the series film Dark Knight. Though Mr. Blackburn encountered plenty of difficulties to get over during the construction, in September 2019, the carmade its first show at the Carnival of Flowers in Toowoomba, before being used by Blackburn’s son for his hope.“It was great. It was so good to see the kids’ and adults’ excitement at seeing the Batmobile.” Mr. Blackburn said. As a result, the car lovers hope to make the car work on the roads as soon as possible, so he can visit sick children and take them out with his son.8. What is Craig Blackburn’s initial purpose of making the Batmobile?A. To realize his son’s dream.B. To donate it to sick children.C. To pay his respects to the film Dark Knight.D. To show off at the Carnival of Flowers in Toowoomba.9. How did Blackburn feel about the car-making at first?A. Hopeful.B. Confused.C. Impossible.D. Unsure.10. How did Blackburn’s friend help him?A. By making an outer shell for him.B. By offering him financial support.C. By sharing the knowledge of building cars.D. By telling him the background of the car factory.11. What is the car lovers’ expectation of the Batmobile?A. It will be driven soon on the roads.B. It can be displayed around the world.C. It can change the lives of sick children.D. It will appear in the next film about Batman.DFor as long as I can remember, my body and I have shared a relationship of discontent. Growing up, I was skinnier than the other kids and at five I was told I wasn't attractive and that I must put on some weight. But no matter how much I ate, I stayed thin for years until adolescence. Then I started putting on weight almost immediately. I remember feeling happy as I began to fill out. However, my joy didn't last long.I was thirteen when I was first called fat. Friends and neighbours would make jokes on my big size. As I entered my late teens, I had completely lost confidence in my body and, subsequently, in myself. Having failed to live up to conventional beauty standards, I was convinced that if I wanted to be loved, I needed to offer more, doing anything to please everyone around.I entered adulthood thinking I wasn't “enough”—an idea that was seeded not only by the fact that “skinny” is celebrated, but also by the language associated with accounts of losing weight—self­improvement, discipline—all virtues. Being fat quickly categorizes you as lazy and undisciplined. Consumed by thoughts of the way my body looked, I didn't notice the other ways my body needed attention. I failed to realize, for example, that my periodwas much heavier and more painful than ever before. Actually I developed a rare disease and later I had two surgeries.I was always made to feel that my weight was the root of a lot of problems in my life; I have learnt this is not true. After a lot of self­reflection and some professional help, I realized I never learnt to like myself. While two decades of self­hatred cannot be undone overnight, I have taken first steps to acceptance.I am now much lighter than before, in body and mind. There are days I find voices on social media saying I am too fat to be loved or to be worthy, but I am learning not to focus on that thought for long. As long as I like myself, just the way I am, opinions at the end of the day are just water off a duck's back.12. What can we learn about the author from the first two paragraphs?A. She could change her weight at will.B. She had different beauty standards from others.C. She tried to love others to build her confidence.D. She was greatly influenced by others' opinions.13. Why did the author think she wasn't “enough”?A. She was poorly disciplined.B. She failed to celebrate “skinny”．C. She was labelled as lazy for her weight.D. She put on more weight after entering adulthood.14. What caused the author to make a change?A. Her lighter body.B. A troublesome illness.C. Popular beauty standards.D. Others' critical comments.15. What is the best title for the text?A. Beauty matters.B. Opinions vary.C. Worth your weight.D. Beyond your limits.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

命题审校人：萧山第九高级中学余杭塘栖中学第I卷(三部分，共75分）第一部分: 听力（共两节，满分15分）第一节（共5小题；每小题1分，满分5分）听下面5段对话，每段对话仅读一遍。

1. What time is it now?A. 7:00.B. 7:30.C. 8:00.2. What is the man probably?A. A repairman.B. A fireman.C. A policeman.3. What is wrong with the speakers?A. They lose their way.B. They took the wrong bus.C. They can’t find their map.4. What was the weather like?A. Windy and rainy.B. Windy and snowy.C. Windy and cloudy.5. What might be the matter with the man on the ground?A. He has a bad cold.B. He has a headache.C. He has heart trouble.第二节（共10小题；每小题1分，满分10分）听下面4段对话或独白，每段对话或独白读两遍。

听下面一段材料，回答6-7题。

6. Where did the robbery happen?A. On a bus.B. At a bus stop.C. Near the police station.7. What did the woman do when the robber took her handbag?A. She called the police.B. She held her handbag.C. She grabbed the robber’s knife. 听下面一段材料，回答8-9题。

浙江省杭州求是高级中学2013-2014学年高二英语上学期期中试卷试卷 I （共75分）一、听力部分 (共两节，满分20分)第一节（共5小题；每小题1分，满分5分）1. What will the man go to Florida for next summer?A. For his work.B. For traveling.C. For visiting friends.2. What time will the man call the woman?A. At 6:30 pm.B. At 6:00 pm.C. At 5:30 pm.3. When will they get to Grace’s home?A. In 10 minutes.B. In 30 minutes.C. In 40 minutes.4. What is the woman worried about?A. She has run out of money.B. She dislikes art.C. She doesn’t have enough time.5. What color are the display lights in the shop?A. Green.B. Yellow.C. Blue.第二节（共15小题；每小题1分，满分15分）听第6段材料，回答第6、7题。

6. What is Tim going to do?A. Go to work.B. Finish his report.C. Have a picnic.7. When will they have a science class?A. Next Friday.B. Next Wednesday.C. Next Monday.听第7段材料，回答第8至10题。

8. Where does this conversation take place?A. In a restaurant.B. At a railway station.C. In a hotel.9. Why will the woman get up early tomorrow morning?A. To meet her friends.B. To catch a plane.C. To have a meeting.10. How many favors will the man do the woman?A. Two.B. Three.C. Four.听第8段材料，回答第11至13题。

2015学年第一学期期中杭州地区七校联考高二年级英语学科试题考生须知：1．本卷满分100分，考试时间90分钟；2．答题前，在答题卷密封区内填写班级、学号和姓名；座位号写在指定位置；3．所有答案必须写在答题卡上，写在试卷上无效；4．考试结束后，只需上交答题卡。

第I卷选择题部分（共65分）第一部分听力理解第一节（共5小题，每小题1分）1.How old is James?A. He is 21.B. He is 22.C. He is 20.2. What does the man’s father really want to do?A. To look after his grandchildren.B. To travel around the world.C. To enjoy his retirement at home.3. What does the man think about the woman?A. He thinks the woman is silly.B. He thinks the woman is ugly.C. He thinks the woman is young and clever.4. How many books has the man ordered?A. 4,000.B. 3,000.C.2,000.5. What do you know about the woman?A. She had to work overtime.B. She failed to see Henry.C. She had a traffic accident.第二节（共15小题，每小题1分）听第6段材料，回答第6至7题。

6. What does the man think of Barry?A. He thinks Barry is easy-going and honest.B. He thinks Barry is too ambitious(野心的) and dishonest.C. He thinks Barry is like his brother.7. What does the woman like?A. Chatting with new people.B. Travelling.C. Going out and making new friends.8. What does the man invite the woman to do?A. To attend his birthday party.B. To chat with him.C. To make new friends.听第7段材料，回答第9至11题。