立体几何(适合初学者水平测试)1篇英语阅读理解.docVIP

立几面测试002一、选择题(每小题5分，共40分)1、点P在直线a上，直线a在平面内可记为( )A、Pa，a B、Pa，a C、Pa，a D、Pa，a2、直线l是平面外的一条直线，下列条件中可推出l的是( )A、l与内的一条直线不相交 B、l与内的两条直线不相交C、l与内的无数条直线不相交 D、l与内的任意一条直线不相交3、空间四点A、B、C、D共面，但不共线，则下面结论成立的是( )A、四点中必有三点共线B、四点中必有三点不共线C、直线AB与CD必相交D、ABCD或BCDA4、已知正方形ABCD中，S是所在平面外一点，连接SA，SB，SC，SD，AC，BD，在所有的10条直线中，其中异面直线共有( )A、8对 B、10对C、12对 D、16对5、在空间中，l，m，n，a，b表示直线，表示平面，则下列命题正确的是( )A、若l，ml，则m B、若lm，mn，则mnC、若a，ab，则b D、若l，la，则a6、在四面体ABCD中，AB=BC=CD=DA=AC=BD，E，F分别为AB，CD的中点，则EF与AC所成角为( )A、90B、60C、45D、307、在长方体ABCD-ABCD中，ABB=45，CBC=60，则ABC的余弦值为( )A、 B、 C、 D、8、A,B,C,D四点不共面，且A,B,C,D到平面的距离相等，则这样的平面有( )A、1个 B、4个 C、7个 D、无数个二、填空题(每小题5分，共15分)9、在空间四边形ABCD中，E，H分别是AB，AD的中点，F，G为CB，CD上的点，且CFCB=CGCD=23，若BD=6cm，梯形EFGH的面积 28cm2，则EH与FG间的距离为 。10、三个平面,将空间分成七部分，且=a，=b，则a与b的位置关系为 。11、a,b为异面直线，且a,b所成角为40，直线c与a,b均异面，且所成角均为，若这样的c共有四条，则的范围为 。三、解答题(共45分，14、14、17)ABCDABCDEF12、已知正方体ABCD-ABCD中，E，F分别是AB，BC的中点。求证：EF面ADC。13、已知PA正方形ABCD，PA=AB=2，M，N为BC，CD中点，求C到面PAM的距离，求BD到面PMN的距离。ABCDPMNOFH立几面测试002一、选择题ADBCDCDC 二、填空题(每小题5分，共15分)9、在空间四边形ABCD中，E，H分别是AB，AD的中点，F，G为CB，CD上的点，且CFCB=CGCD=23，若BD=6cm，梯形EFGH的面积 28cm2，则EH与FG间的距离为 8cm 。10、三个平面,将空间分成七部分，且=a，=b，则a与b的位置关系为 平行 。11、a,b为异面直线，且a,b所成角为40，直线c与a,b均异面，且所成角均为，若这样的c共有四条，则的范围为 (70，90) 。三、解答题(共45分，14、14、17)ABCDABCDEF12、已知正方体ABCD-ABCD中，E，F分别是AB，BC的中点。求证：EF面ADC。证明：连AC，由E，F分别为AB，BC的中点则EFAC，又ACAC，EFACAC面ADCEF面ADC13、已知PA正方形ABCD，PA=AB=2，M，N为BC，CD中点，求C到面PAM的距离，求BD到面PMN的距离。ABCDPMNOFH解：延长AM，作CEAM于ECE面PAMPA正方形ABCD，PACECEAMAB=2，BM=1，CM=1AM=，CE=C到平面PAM的距离为连AC交BD于O，交MN于F，连PF，过O作OHPFM，N为BC，CD中点，MNBDBD平面PMN，17、（1分） The blue eyes that looked at him from outside the door were like the light through a magnifying glass (放大镜) when it is at its brightest and smallest, when paper and leaves begin to smoke. “Hey ,” said the man in the door. “Remember me?” “Yes,” the boy said, whispering. “Rick.” He felt so surprised to see Rick. All of Rick seemed to be shown in the eyes, with a strong feeling that ought to have hurt him “You knew me,” Rick said. “You hadnt forgotten.” “Youre just the same,” the boy said, and felt much thankful. He seemed even to be wearing the same clothes, the same blue shirt and grey trousers. He was thin, but he was built to be lean; and he was still, or again, sunburnt (晒黑了). After everything, the slow white smile still showed the slight feeling of happiness. “Lets look at you,” Rick said, dropping into a chair. Then slowly he felt more at home, and he became once more just Rick, as if nothing had happened. There were lines about his eyes, and deeper lines on his cheeks (面颊), but he looked likejust Rick, lined by sunlight and smiling. “When I look at you,” he said, “You make me think about me, for we look like each other.” “Yes,” said the boy, eagerly, “they all think we both look like my grandfather.”1. On his return , Rick _. A. had not changed much B. looked very old C. was much thinner than before D. was wearing different clothes2. Rick and the boy are probably _. A. brothers B. related C. friends D. neighbours3. You could describe Rick as _. A. old and friendly B. old and nervous C. thin and nervous D. thin and friendly4. From the passage we can tell that the boy _. A. was worried that Rick had forgotten him B. was proud of what Rick had done C. was pleased to see Rick D. wondered w