2016高考立体几何证明垂直的专题训练.pdf

《2016高考立体几何证明垂直的专题训练.pdf》由会员分享，可在线阅读，更多相关《2016高考立体几何证明垂直的专题训练.pdf（6页珍藏版）》请在淘文阁 - 分享文档赚钱的网站上搜索。

1、1 P E D C B A 高中立体几何证明垂直的专题训练(1)通过“平移”,根据假设/,abba且平面则平面1在四棱锥P-ABCD中，PBC为正三角形，AB 平面 PBC，AB CD，AB=21DC，中点为PDE.求证：AE 平面 PDC.2如图，四棱锥PABCD的底面是正方形，PA 底面 ABCD，PDA=45，点 E为棱 AB的中点求证：平面PCE 平面 PCD；3、如下列图，在四棱锥PABCD中，ABPAD平面,/ABCD,PDAD,E是PB的中点，F是CD上的点，且12DFAB,PH为PAD中AD边上的高。1证明：PHABCD平面；2假设121PHADFC，求三棱锥EBCF的体积；3

2、证明：EFPAB平面.EFBACDP第 2 题图2 4.如 下 列 图,四 棱 锥PABCD底 面 是 直 角 梯 形,2,BAADCDADCDABPA底面ABCD,E为PC的中点,PAAD。证明:BEPDC平面;2利用等腰三角形底边上的中线的性质5、在三棱锥PABC中，2ACBC，90ACB，APBPAB，PCAC求证：PCAB；求二面角BAPC的大小；6、如图，在三棱锥PABC中，PAB是等边三角形，PAC=PBC=90 o证明：ABPCA C B P 文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4

3、ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I

4、6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4

5、ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I

6、6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4

7、ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I

8、6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4

9、ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B53 3利用勾股定理7、如图，四棱锥PABCD的底面是边长为1 的正方形，,1,2.PACD PAPD求证:PA平面ABCD；8、如图 1，在直角梯形ABCD中，CDAB/，ADAB，且121CDADAB现以AD为一边向形外作正方形ADEF，然后沿边AD将正方形ADEF翻折，使平面ADEF与平面ABCD垂直，M为ED的中点，如图21求证：AM平面BEC；2求证：BC平面BDE；_ D_ C_ B_ A_ PMAFBCDEMEDCBAF文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF

10、2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P

11、7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF

12、2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P

13、7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF

14、2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P

15、7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF

16、2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B54 CADBOE9、如图，四面体ABCD 中，O、E分别是 BD、BC的中点，2,2.CACBCDBDABAD1求证：AO平面 BCD；2求异面直线AB与 CD所成角的大小；10、如 图，四 棱 锥SABCD中，BCAB,BCCD，侧 面SAB为 等 边 三 角 形，2,1ABBCCDSD证明：SDSAB平面;求AB与平面SBC所成角的大小文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5

17、文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1

18、C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5

19、文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1

20、C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5

21、文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1

22、C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5

23、文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B55 4利用三角形全等或三角行相似11正方体ABCD A1B1C1D1中O为正方形ABCD的中心，M为BB1的中点，求证：D1O平面MAC.12如图，正三棱柱 ABC A1B1C1的所有棱长都为2，D为 CC-1中点.求证：AB1平面 A1BD；13、.如图，已知正四棱柱ABCDA1B1C1D1中，过点B作B1C的垂线交侧棱CC1于点E，交B1C于点F，求证：A1C平面BDE；文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF

24、2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P

25、7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF

26、2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P

27、7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF

28、2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P

29、7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF

30、2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B56 5利用直径所对的圆周角是直角14、如图，AB是圆O的直径，C是圆周上一点，PA平面ABC.1求证：平面PAC平面PBC；2假设D也是圆周上一点，且与C分居直径AB的两侧，试写出图中所有互相垂直的各对平面.OACBPD.15、如图，在四棱锥PABCD中，底面ABCD是矩形，PA平面ABCD以BD的中点O为球心、BD为直径的球面交PD于点M求证：平面ABM平面PCD；OAPBCMD文档编码:CF2I6P7D3I9 HY

31、1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B

32、5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY

33、1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B

34、5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY

35、1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B

36、5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5文档编码:CF2I6P7D3I9 HY1C8N1F4D4 ZF2K4F2S6B5