题目

如图，在棱长为2的正方体ABCD—A1B1C1D1中，O是底面ABCD的中心，E、F分别是CC1、AD的中点,那么异面直线OE和FD1所成的角的余弦值等于(    )A.              B.              C.             D. 答案：解法一：取面CC1D1D的中心为H，连结FH、D1H.在△FHD1中,    FD1=,FH=,D1H=.    由余弦定理，得∠D1FH的余弦值为.解法二:取BC的中点G.    连结GC1,则GC1∥FD1,再取GC的中点H,连结HE、OH，则∠OEH为异面直线所成的角.    在△OEH中,OE=，HE=，OH=.    由余弦定理，    可得cos∠OEH=.答案：B第二节:完形填空(共20小题;每小题1.5分, 满分30分)阅读下面短文,掌握其大意,然后从36-55各题所给的四个选项(A、B、C和D)中,选出最佳选项。One spring afternoon five years ago, Jimmy Liao was crying in the hall of Taipei’s Sherwood Hotel, Life seemed  36  . The people who laughed as they walked past were taking their   37  for granted, just as he  38  himself. Now, however, he felt  39  —and he couldn’t even show his disappointment in his  40  . Seeking more personally satisfying  41  , he had just left a successful job as a commercial artist when it seemed that fate（命运）played a cruel  42  on him. It was at this time that he developed cancer and was  43  to work. But that moment in the hotel was a turning point for Jimmy. He began to  44  the fact that there is no such a thing as fate, only  45  . Since then, he has put out several imaginative, illustrated（带插图的）books. According to Jimmy, you are  46  you choose to be. You can give up or you can work to be a happier person. Jimmy realized that, while the world  47  seems unfair, your choice can change your life. This idea can be   48  in Jimmy’s books, where his characters show the powerlessness they feel   49  making their choices. The message that goes with Jimmy’s drawings, however, is 50 .Though the world may make us feel small, we must be  51  . Everything will be all right for us—as it is for the “small people” in Jimmy’s books—if we make choices that are   52  for us. In spite of his new  53  and wealth, Jimmy prefers working  54  at home with his wife and daughter. He spends his mornings drawing. To Jimmy, living a life as he chooses means much more than money and fame could  55  .36．A．unreasonable    B．unusual     C．unfair       D．unhappy 37．A．health              B．wealth      C．happiness       D．illnesses38．A．ought to          B．had to       C．needed to       D．used to39．A．ashamed          B．disappointed            C．upset        D．shameful40．A．crying             B．painting           C．imagination      D．consideration41．A．dignity            B．work         C．condition             D．situation42．A．game               B．trick          C．role                    D．part43．A．unable             B．impossible       C．unfit                D．difficult44．A．resist           B．insist               C．refuse              D．understand45．A．failures            B．efforts             C．choices            D．interests46．A．that                 B．what                C．which              D．whoever47．A．eventually        B．seldom            C．sometimes        D．usually48．A．found              B．drawn              C．written            D．conducted49．A．after                B．for                  C．with                D．before     50．A．powerful         B．hopeful            C．useful              D．successful51．A．grand                     B．big           C．brave                  D．equal52．A．potential          B．basic               C．right                D．simple53．A．product           B．fame               C．name               D．job54．A．rapidly            B．separately        C．slowly             D．quietly55．A．offer               B．gain                C．gather              D．earn