2022年立体几何文科高考题 2.pdf
We will continue to improve the compa nys internal control system, and steady improvement in ability to manage and control, optimize business processes, to ensure smooth proce sses, responsibilities in place ; to further strengthen internal controls, play a control post independent oversight role of evaluation complying with third-party responsibility; to actively make use of internal audit tools detect potential management, streamline, standardize related transactions, strengthening operations in accorda nce with law. Deepening the information management to ensure full communication zero resistance. o constantly perfect ERP, and BFS+, and PI, and MIS, and SCM, information system based constructi on, full integration information system, achieved information resources shared; to expand Portal system application of breadth and depth, play information system on enterprise of Assistant role; to perfect daily run maintenance operaton of records, promote problem reasons analysis and system handover; to strengthening BFS+, and ERP, and SCM, technology application of training, improve employees application information system of capacity and level. Humanistic care to ensure zero. To strengthening Humanities care, continues to foster company wind cl ear, and gas are, and heart Shun of culture atmosphere; strengthening love helped trapped, care difficult employees; carried out style activities, rich employees life; strengthe ning health and la bour protection, organization career health medical, control career against; continues to implementation psychological warning prevention system, training employees health of character, and stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of zero risk. To strengthened busine ss plans ma nagement, will business busi ness plans cover to all level, ensure the business can control in control; to cl ose concern financial, and coal electric linkage, and energy-saving scheduling, national policy trends, strengthening track, active should; to implementation State-owned assets method, further specification business financial management; to perfect risk tube control system, achieved risk recognition, a nd measure, and assessment, and report, and control feedback of closed ring management, improve risk prevention ca pacity. o further standardize trading, and strive to achieve according to law , standardize and fair. Innovation of performance ma nagement, to ensure that potential employees zero fly. To strengt hen performance management, process control, enhance employee evaluation and levels of effective communication to improve performance ma nagement. o further quantify and refine employee standards . Work, full play party, a nd branch, and members in five type Enterprise construction in the of core role, and fighting fortress role and pione er model role; to continues to strengthe ning fourgood leadership construction play levels cadres in e nterprise development in the of backbone backbone role; t o full strengthening members youth work, full play youth empl oyees i n company devel opment in the of force role; t o improve independent Commission against corruption w ork level, strengthening on enterprise business key link of effectiveness monitored. , And maintain stability. To further strengthen publicity and education, improve the overall legal system. We must strengthe n safety management, esta blish and improve the education, supervision, and evaluation as one of the traffic safety management mechanism. o conscientiously sum up the Olympic security controls, promoting i ntegrated management to a higher level, higher sta ndards, a higher level of development. Employees, today is lunar calendar on December 24, the ox Bell is about to ring, at this time of year, we clearly feel the pulse of the XX power generation company to flourish, to more clearly hear XX power generation companies mature and symmetry breathing. Recalling past one anot her acr oss a railing, we are enthusiastic and full of confidence. Future development opportunities, we more exciting fight more spirited. Employees, let us together across 2013 full of challenges and opportunities, to create a green, low-cost operation, full of humane care of a world-class power generation company and work hard! The occasion of the Spring Festival, my sincere wish that you and the families of the staff in the new year, good health, happy, happy!高考立体几何文科汇编（江苏）16、如图，在四棱锥ABCDP中，平面 PAD 平面 ABCD ，AB=AD ， BAD=60 ，E、F 分别是 AP、AD 的中点求证：（1）直线 EF平面 PCD ；（2）平面 BEF 平面 PAD （安徽卷）（19 ） （本小题满分13 分）如图，ABEDFC为多面体，平面ABED与平面ACFD垂直，点O在线段AD上，1OA，2OD，OAB ，OAC ，ODE ，ODF 都是正三角形。（）证明直线BCEF；（）求棱锥FOBED的体积 . 精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 1 页，共 11 页We will continue to improve the compa nys internal control system, and steady improvement in ability to manage and control, optimize business processes, to ensure smooth proce sses, responsibilities in place ; to further strengthen internal controls, play a control post independent oversight role of evaluation complying with third-party responsibility; to actively make use of internal audit tools detect potential management, streamline, standardize related transactions, strengthening operations in accorda nce with law. Deepening the information management to ensure full communication zero resistance. o constantly perfect ERP, and BFS+, and PI, and MIS, and SCM, information system based constructi on, full integration information system, achieved information resources shared; to expand Portal system application of breadth and depth, play information system on enterprise of Assistant role; to perfect daily run maintenance operati on of records, promote problem reasons analysis and system handover; to strengthening BFS+, and ERP, and SCM, technology application of training, improve employees application information system of capacity and level. Humanistic care to ensure zero. To strengthening Humanities care, continues to foster company wind cl ear, and gas are, and heart Shun of culture atmospherestrengthening love helped trapped, care difficult employees; carried out style activities, rich employees life; strengthening health and la bour protection, organization career health medical, control career against; continues to implementation psychological warning prevention system, training employees health of character, and stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of zero risk. To strengthened business plans ma nagement, will business busi ness plans cover to all level, ensure the business can control in control; to cl ose concern financial, and coal electric linkage, and energy-saving scheduling, national policy trends, strengthening track, active should; to implementation State-owned assets method, further specification business financial management; to perfect risk tube control system, achieved risk recognition, a nd measure, and assessment, and report, and control feedback of closed ring management, improve risk prevention ca pacity. o further standardize trading, and strive to achieve according to law, standardize and fair. Innovation of performance ma nagement, to ensure that potential employees zero fly. To strengt hen performance management, process control, enhance employee evaluation and level s of effective communication to improve performance ma nagement. o further quantify and refine employee standards . Work, full play party, and branch, and members in five type Enterprise construction in the of core role, and fighting fortress r ole and pione er model role; to continues to strengthe ning fourgood leadership construction play levels cadres in e nterprise development in the of backbone backbone role; t o full strengthening members youth work, full play youth empl oyees i n company devel opment in the of force role; t o improve independent Commission against corruption w ork level, strengthening on enterprise bu siness key link of effectiveness monitored. , And maintain stability. To further strengthen publicity and education, improve the overall legal system. We must strengthen safety management, esta blish and improve the education, supervision, and evaluation as one of the traffic safety management mechanism. o conscientiously sum up the Olympic security controls, promoting i ntegrated management to a higher level, higher standards, a higher level of development. Employees, today is lunar calendar on Demature and symmetry breathing. Recalling past one anot her acr oss a railing, we are enthusiastic and full of confidence. Future development opportunities, we more exciting fight more spirited. Employees, let us together across 2013 full of challenges and opportunities, to create a green, low-cost operation, full of humane care of a world-class power generation company and work hard! The occasion of the Spring Festival, my sincere wish that you and the families of the staff in the new year, good health, happy, happy!（北京卷）17 （本小题共14 分）如图，在四面体PABC 中， PCAB，PA BC,点 D,E,F,G 分别是棱AP,AC,BC,PB的中点 . （）求证：DE平面 BCP ；（）求证：四边形DEFG 为矩形；（）是否存在点Q，到四面体PABC 六条棱的中点的距离相等？说明理由. （福建卷）20 （本小题满分12 分）如图，四棱锥P-ABCD中， PA底面 ABCD ，ABAD ，点 E 在线段 AD 上，且CEAB。（I）求证： CE 平面 PAD；（11）若 PA=AB=1 ，AD=3 ，CD=2， CDA=45 ，求四棱锥P-ABCD的体积精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 2 页，共 11 页（广东）18 （本小题满分13 分）图 5 所示的集合体是将高为2，底面半径为1 的直圆柱沿过轴的平面切开后，将其中一半沿切面向右水平平移后得到的A，A ，B，B 分别为CD,C D,DE,D E的中点，112,2,O O O O分别为,CD C DDE D E的中点（1）证明：12,O A O B四点共面；（2）设 G 为 A A 中点， 延长1AO到 H ，使得11O HAO证明：2BOH BG平面（湖北）18 （本小题满分12 分）如图，已知正三棱柱ABC-111A B C的底面边长为2，侧棱长为3 2，点 E 在侧棱1AA上，点 F 在侧棱1BB上，且22AE,2BF（I）求证：1CFC E；精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 3 页，共 11 页We will continue to improve the compa nys internal control system, and steady improvement in ability to manage and control, optimize business processes, to ensure smooth proce sses, responsibilities in place ; to further strengthen internal controls, play a control post independent oversight role of evaluation complying with third-party responsibility; to actively make use of internal audit tools detect potential management, streamline, standardize related transactions, strengthening operations in accorda nce with law. Deepening the information management to ensure full communication zero resistance. o constantly perfect ERP, and BFS+, and PI, and MIS, and SCM, information system based constructi on, full integration information system, achieved information resources shared; to expand Portal system application of breadth and depth, play information system on enterprise of Assistant role; to perfect daily run maintenance operati on of records, promote problem reasons analysis and system handover; to strengthening BFS+, and ERP, and SCM, technology application of training, improve employees application information system of capacity and level. Humanistic care to ensure zero. To strengthening Humanities care, continues to foster company wind cl ear, and gas are, and heart Shun of culture atmospherestrengthening love helped trapped, care difficult employees; carried out style activities, rich employees life; strengthening health and la bour protection, organization career health medical, control career against; continues to implementation psychological warning prevention system, training employees health of character, and stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of zero risk. To strengthened business plans ma nagement, will business busi ness plans cover to all level, ensure the business can control in control; to cl ose concern financial, and coal electric linkage, and energy-saving scheduling, national policy trends, strengthening track, active should; to implementation State-owned assets method, further specification business financial management; to perfect risk tube control system, achieved risk recognition, a nd measure, and assessment, and report, and control feedback of closed ring management, improve risk prevention ca pacity. o further standardize trading, and strive to achieve according to law, standardize and fair. Innovation of performance ma nagement, to ensure that potential employees zero fly. To strengt hen performance management, process control, enhance employee evaluation and level s of effective communication to improve performance ma nagement. o further quantify and refine employee standards . Work, full play party, and branch, and members in five type Enterprise construction in the of core role, and fighting fortress r ole and pione er model role; to continues to strengthe ning fourgood leadership construction play levels cadres in e nterprise development in the of backbone backbone role; t o full strengthening members youth work, full play youth empl oyees i n company devel opment in the of force role; t o improve independent Commission against corruption w ork level, strengthening on enterprise bu siness key link of effectiveness monitored. , And maintain stability. To further strengthen publicity and education, improve the overall legal system. We must strengthen safety management, esta blish and improve the education, supervision, and evaluation as one of the traffic safety management mechanism. o conscientimature and symmetry breathing. Recalling past one anot her acr oss a railing, we are enthusiastic and full of confidence. Future development opportunities, we more exciting fight more spirited. Employees, let us together across 2013 full of challenges and opportunities, to create a green, low-cost operation, full of humane care of a world-class power generation company and work hard! The occasion of the Spring Festival, my sincere wish that you and the families of the staff in the new year, good health, happy, happy!（II）求二面角1ECFC的大小。（湖南卷）19 （本题满分12 分）如图 3，在圆锥PO中，已知2,POO的直径2,ABCABDAC点在上, 且CAB=30为的中点（I）证明：;ACPOD平面（II）求直线和平面PAC所成角的正弦值（江西卷）18.( 本小题满分12 分）如图，在=2,2ABCBABBCPAB中，为边上一动点， PD/BC交 AC于点D,现将,PDA.PDAPDPDAPBCD沿翻折至使平面平面（1）当棱锥APBCD的体积最大时，求PA的长；（2）若点 P为 AB的中点， E为.ACBDE的中点，求证： A精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 4 页，共 11 页（辽宁卷）18 （本小题满分12 分）如图，四边形ABCD 为正方形， QA 平面 ABCD ，PDQA ，QA=AB=12PD（I）证明： PQ平面 DCQ ；（II）求棱锥QABCD 的的体积与棱锥PDCQ 的体积的比值（全国卷）20 （本小题满分l2 分） （注意：在试题卷上作答无效）如图，四棱锥SABCD中，ABCD,BCCD，侧面SAB为等边三角形，2,1ABBCCDSD（I）证明：SD平面 SAB ；（II）求 AB 与平面 SBC 所成的角的大小。（山东卷）19 （本小题满分12 分）精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 5 页，共 11 页We will continue to improve the compa nys internal control system, and steady improvement in ability to manage and control, optimize business processes, to ensure smooth proce sses, responsibilities in place ; to further strengthen internal controls, play a control post independent oversight role of evaluation complying with third-party responsibility; to actively make use of internal audit tools detect potential management,
