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Part1 Grammar and Vocabulary Ⅰ. Choose the best answer:（9分） 26.It____ six hours and a half to travel from Shanghai to Tibet. A.costs B. spends C.takes D. Pays 27.The Wang family_____ to Bali Island twice. A.Went B. has been C.has gone D.have been 28.Singapore is_____ the south-west of Japan. A. to B. on C.in D.at 29.He’s got two tickets _____ the concert tonight. Would you like to go with him? A.to B. for C. about D. Of 30.At last they found a hotel________. A.to stay B. to live C.to stay in D. to live in 31.______ useful piece of information we found on the Internet! A.What B. How C. What a D. How an 32.I haven’t ____ John since he went to France for futher study. A.received from B. heard C. written a letter D. heard from 33.The writer put some pictures beside the article to keep the readers _____. A.interesting B.interested C. interest D. Interestingly 34._____ the end of last summer, the housing price in Shanghai_____ about 10%. A.At, had been raised B. By, had risen C. In, had risen D. On, had been raised 35.The student _____ from the chair to ask how the money _____ for the charity would be used. A.rose, raising B.rose, raised C. raised, rose D. raised, rising 36.The tour guide suggests we______ at the weekend. A.will back B. should back C. be back D.will be back 37.The disabled are thankful______ the volunteer______ helping them cross the road. A. for, to B. to, for C. for, for D. to,to 38. I don’t think the question of______ they are old or young is important. A. which B. whether C. how D. Why 39. I have no idea______. A. what does this sign means B. what this sign means C. what the meaning of this sign D. what kind of a meaning is this sign 40.I’m afraid I can’t _____ to go on holiday because I lost my job last week. A. take B. cost C. spend D. Afford 41.If Tony isn’t careful enough with his lesson, more mistakes ______ later. A.have made B. will make C. have been made D. will be made 42.______ you have been in America for many times, you must know something about this country. A.Since B. Although C. Unless D.When 43.Would you mind helping me with the heavy box? _______. A.Never mind B. Certainly not C. It’s OK. I’m strong. D. No, I can’t. Ⅱ. Phonetic symbols and word transformation: （8分） 44.The ______ offers a wide choice of hotels, apartments and holiday homes.[?b r????(r)] 45. They believed _____ Greece and Rome were vital sources of learning.[?e?n??nt] 46. Franklin joined her and the children whenever his crowded ______ allowed.[?k?l ind?] 47. _____ investors around the world have become worried about China’s economy.(nation) 48. An art ____ and collector, he was also a practising architect.(history)

上海民办上宝中学数学几何图形初步同步单元检测(Word版 含答案)

一、初一数学几何模型部分解答题压轴题精选（难） 1．如图 1，CE 平分∠ACD，AE 平分∠BAC，且∠EAC＋∠ACE=90°． （1）请判断 AB 与 CD 的位置关系，并说明理由； （2）如图2，若∠E=90°且AB 与CD 的位置关系保持不变，当直角顶点E 移动时，写出∠BAE 与∠ECD 的数量关系，并说明理由； （3）如图 3，P 为线段 AC 上一定点，点 Q 为直线 CD 上一动点，且 AB 与 CD 的位置关系保持不变，当点 Q 在射线 CD 上运动时(不与点 C 重合)，∠PQD，∠APQ 与∠ BAC 有何数量关系？写出结论，并说明理由． 【答案】（1），理由如下： CE 平分，AE 平分， ； （2），理由如下： 如图，延长AE交CD于点F，则 由三角形的外角性质得： ； （3），理由如下：

，即 由三角形的外角性质得： 又，即 即． 【解析】【分析】（1）根据角平分线的定义、平行线的判定即可得；（2）根据平行线的性质（两直线平行，内错角相等）、三角形的外角性质即可得；（3）根据平行线的性质（两直线平行，同旁内角互补）、三角形的外角性质、邻补角的定义即可得． 2．如图AB∥CD，点H在CD上，点E、F在AB上，点G在AB、CD之间，连接FG、GH、HE，HG⊥HE，垂足为H，FG⊥HG，垂足为G. （1）求证：∠EHC+∠GFE=180°. （2）如图2，HM平分∠CHG，交AB于点M，GK平分∠FGH，交HM于点K，求证：∠GHD=2∠EHM. （3）如图3，EP平分∠FEH，交HM于点N，交GK于点P，若∠BFG=50°,求∠NPK的度数. 【答案】（1）解：∵HG⊥HE，FG⊥HG ∴FG∥EH， ∴∠GFE+∠HEF=180°， ∵AB∥CD ∴∠BEH=∠CHE ∴∠EHC+∠GFE=180°