2012年高考立体几何大题及答案(理)范文

在当今的科学发展飞速的新时代，越来越多的高科技开始运用于我们的学习、工作和生活当中。科技，已成为我们走向高质量生活的一座桥梁，一根绳梯。ofvision.3,build,fittinginwiththeurbanmasterplaninYibincityrapidrailtransitlongtermnetwork,aswellasthevisionofYibincity,andfuturedevelopmentofrailtransitnetwork.4,Yibincity,preliminaryrailtrafficlevelsservicelevels,systemmodel,andtechnicalstandards.5,toensurethatnetworkcanbeimplemented.6,stableconditionsforplanningandsupportingofYibincitytracktrafficconstructionandformationofrailtransitindustry,provideconditionsforthestart-upanddevelopmentofrailtransitinYibincity.1.7technicalcoursetechnologyistheproject'sresearchprogramandresearchideas.Technologyreflectsthevariousstagesintheprocess,logicalrelationsbetweenvariouslevels,research,techniquesandphases.Networkplanningprocessthewholeprocesscanbedividedintofourparts,namely,backgroundresearch,networkarchitectureresearch,planningandimplementationofresearchandprogramminginterfaces.Figure1.7-1Yibincityrailtransitnetworkplanningtechnologyroadmapplanninginterfaceismainlyresponsiblefornetworkplanninginterfacewithfollow-upplanningtasks.NetworkplanningUrbanplanningsysteminatransitionalposition,onlinenetworkplanningiscompleted,willbecarriedoutassoonaspossiblethefollowingplanningprojects:1,detailedcontrolofthelandofrapidrailtransitnetworkplanning;2,thepartitioningfornetworkplanning;3,jointplanningofrailtransportandurbantransportinotherways;Detailedtechnicalcoursesseebelow.Figure1.7-2Generaltechnologyroutefigure2ndchapterCitystatusanddevelopmentplanning2.1citybasicprofile2.1.12009年高考立体几何大题1.（2009全国卷Ⅰ）如图，四棱锥SABCD中，底面ABCD为矩形，SD底面ABCD，2AD，2DCSD，点M在侧棱SC上，∠ABM=60。（I）证明：M是侧棱SC的中点；求二面角SAMB的大小。2.（2009全国卷Ⅱ）如图，直三棱柱ABC-A1B1C1中，AB⊥AC,D、E分别为AA1、B1C的中点，DE⊥平面BCC1（Ⅰ）证明：AB=AC（Ⅱ）设二面角A-BD-C为60°,求B1C与平面BCD所成的角的大小3.（2009浙江卷）如图，DC平面ABC，//EBDC，22ACBCEBDC，120ACB，,PQ分别为,AEAB的中点．（I）证明：//PQ平面ACD；（II）求AD与平面ABE所成角的正弦值．4.（2009北京卷）如图，四棱锥PABCD的底面是正方形，PDABCD底面，点E在棱PB上.（Ⅰ）求证：平面AECPDB平面；（Ⅱ）当2PDAB且E为PB的中点时，求AE与平面PDB所成的角的大小.ACBA1B1C1DE在当今的科学发展飞速的新时代，越来越多的高科技开始运用于我们的学习、工作和生活当中。科技，已成为我们走向高质量生活的一座桥梁，一根绳梯。ofvision.3,build,fittinginwiththeurbanmasterplaninYibincityrapidrailtransitlongtermnetwork,aswellasthevisionofYibincity,andfuturedevelopmentofrailtransitnetwork.4,Yibincity,preliminaryrailtrafficlevelsservicelevels,systemmodel,andtechnicalstandards.5,toensurethatnetworkcanbeimplemented.6,stableconditionsforplanningandsupportingofYibincitytracktrafficconstructionandformationofrailtransitindustry,provideconditionsforthestart-upanddevelopmentofrailtransitinYibincity.1.7technicalcoursetechnologyistheproject'sresearchprogramandresearchideas.Technologyreflectsthevariousstagesintheprocess,logicalrelationsbetweenvariouslevels,research,techniquesandphases.Networkplanningprocessthewholeprocesscanbedividedintofourparts,namely,backgroundresearch,networkarchitectureresearch,planningandimplementationofresearchandprogramminginterfaces.Figure1.7-1Yibincityrailtransitnetworkplanningtechnologyroadmapplanninginterfaceismainlyresponsiblefornetworkplanninginterfacewithfollow-upplanningtasks.NetworkplanningUrbanplanningsysteminatransitionalposition,onlinenetworkplanningiscompleted,willbecarriedoutassoonaspossiblethefollowingplanningprojects:1,detailedcontrolofthelandofrapidrailtransitnetworkplanning;2,thepartitioningfornetworkplanning;3,jointplanningofrailtransportandurbantransportinotherways;Detailedtechnicalcoursesseebelow.Figure1.7-2Generaltechnologyroutefigure2ndchapterCitystatusanddevelopmentplanning2.1citybasicprofile2.1.15.（2009江西卷）如图，在四棱锥PABCD中，底面ABCD是矩形，PA平面ABCD，4PAAD，2AB．以BD的中点O为球心、BD为直径的球面交PD于点M．（1）求证：平面ABM⊥平面PCD；（2）求直线PC与平面ABM所成的角；（3）求点O到平面ABM的距离．6.（2009四川卷）如图，正方形ABCD所在平面与平面四边形ABEF所在平面互相垂直，△ABE是等腰直角三角形，,,45ABAEFAFEAEF（I）求证：EFBCE平面；（II）设线段CD、AE的中点分别为P、M，求证：PM∥BCE平面（III）求二面角FBDA的大小。7.（2009湖北卷文）如图，四棱锥S-ABCD的底面是正方形，SD⊥平面ABCD,SD＝AD＝a,点E是SD上的点，且DE＝a(0≦1).(Ⅰ)求证：对任意的（0、1），都有AC⊥BE:(Ⅱ)若二面角C-AE-D的大小为600C，求的值。8.（2009湖南卷）如图3，在正三棱柱111ABCABC中，AB=4,17AA,点D是BC的中点，点E在AC上，且DE1AE.（Ⅰ）证明：平面1ADE平面11ACCA;（Ⅱ）求直线AD和平面1ADE所成角的正弦值。OAPBCMD在当今的科学发展飞速的新时代，越来越多的高科技开始运用于我们的学习、工作和生活当中。科技，已成为我们走向高质量生活的一座桥梁，一根绳梯。ofvision.3,build,fittinginwiththeurbanmasterplaninYibincityrapidrailtransitlongtermnetwork,aswellasthevisionofYibincity,andfuturedevelopmentofrailtransitnetwork.4,Yibincity,preliminaryrailtrafficlevelsservicelevels,systemmodel,andtechnicalstandards.5,toensurethatnetworkcanbeimplemented.6,stableconditionsforplanningandsupportingofYibincitytracktrafficconstructionandformationofrailtransitindustry,provideconditionsforthestart-upanddevelopmentofrailtransitinYibincity.1.7technicalcoursetechnologyistheproject'sresearchprogramandresearchideas.Technologyreflectsthevariousstagesintheprocess,logicalrelationsbetweenvariouslevels,research,techniquesandphases.Networkplanningprocessthewholeprocesscanbedividedintofourparts,namely,backgroundresearch,networkarchitectureresearch,planningandimplementationofresearchandprogramminginterfaces.Figure1.7-1Yibincityrailtransitnetworkplanningtechnologyroadmapplanninginterfaceismainlyresponsiblefornetworkplanninginterfa