1、relationship, established equivalent relationship 14, and subject: application problem (4)-scores and percentage application problem review content overview answers scores, and percentage application problem of key is: according to meaning, (1) determine standard volume (units “1“) (2) find associat
2、e “volume rate corresponds to“ relationship, Then in-line solution. Category fraction multiplication word problem score Division applications engineering problem problem XV, a subject: review of the measurement of the amount of capacity, measurement and units of measurement of common units of measur
3、ement and their significance in rate 1, currency, length, area, volume, unit size, volume, weight and rate. (Omitted) 2, commonly used time units and their relationships. (Slightly) with a measurement units Zhijian of of poly 1, and of method 2, and poly method 3, and of method and poly method of re
4、lationship measurement distance of method 1, and tool measurement 2, and estimates 16, and subject: geometry preliminary knowledge (1)-line and angle review content line, and segment, and Ray, and vertical, and parallel, and angle angle of classification (slightly) 17, and subject: geometry prelimin
5、ary knowledge (2)-plane graphics review content triangle, and edges shaped, and round, and fan axisymmetric graphics perimeter and area combination graphics of area subject : Preliminary knowledge (3)-review of solid content category 1-d shapes are divided into: cylinder and cone 2, column is divide
6、d into: cuboid, square 3, cone cone of the features of cuboids and cubes relationship between characteristics of circular cone is slightly solid surface area and volume 1, size 2, table .和理科数学高考立体几何大题精选不 建 系 求 解1. 本小题满分 12分）（注意：在试题卷上作答无效）如图，四棱锥 S-ABCD中，SD 底面 ABCD，AB/DC，AD DC，AB=AD=1，DC=SD=2，E为棱 SB上的
7、一点，平面 EDC 平面 SBC .（）证明：SE=2EB；（）求二面角 A-DE-C的大小 .2.（本小题满分 12分）（注意：在试题卷上作答无效）如图，四棱锥 中，底面 为矩形，底面 ， , ，点 M在侧棱 上， =60（I）证明：M 在侧棱 的中点（II）求二面角 的大小。relationship, established equivalent relationship 14, and subject: application problem (4)-scores and percentage application problem review content overview ans
8、wers scores, and percentage application problem of key is: according to meaning, (1) determine standard volume (units “1“) (2) find associate “volume rate corresponds to“ relationship, Then in-line solution. Category fraction multiplication word problem score Division applications engineering proble
9、m problem XV, a subject: review of the measurement of the amount of capacity, measurement and units of measurement of common units of measurement and their significance in rate 1, currency, length, area, volume, unit size, volume, weight and rate. (Omitted) 2, commonly used time units and their rela
10、tionships. (Slightly) with a measurement units Zhijian of of poly 1, and of method 2, and poly method 3, and of method and poly method of relationship measurement distance of method 1, and tool measurement 2, and estimates 16, and subject: geometry preliminary knowledge (1)-line and angle review con
11、tent line, and segment, and Ray, and vertical, and parallel, and angle angle of classification (slightly) 17, and subject: geometry preliminary knowledge (2)-plane graphics review content triangle, and edges shaped, and round, and fan axisymmetric graphics perimeter and area combination graphics of
12、area subject : Preliminary knowledge (3)-review of solid content category 1-d shapes are divided into: cylinder and cone 2, column is divided into: cuboid, square 3, cone cone of the features of cuboids and cubes relationship between characteristics of circular cone is slightly solid surface area an
13、d volume 1, size 2, table .和3（2013 年普通高等学校招生统一考试辽宁数学（理）试题（WORD 版）如图,AB 是圆的直径,PA 垂直圆所在的平面,C 是圆上的点.(I)求证:(II)4（2013 年普通高等学校招生统一考试重庆数学（理）试题（含答案）如图,四棱锥中, , ,为 的中点, .(1)求 的长; (2)求二面角 的正弦值.relationship, established equivalent relationship 14, and subject: application problem (4)-scores and percentage appl
14、ication problem review content overview answers scores, and percentage application problem of key is: according to meaning, (1) determine standard volume (units “1“) (2) find associate “volume rate corresponds to“ relationship, Then in-line solution. Category fraction multiplication word problem sco
15、re Division applications engineering problem problem XV, a subject: review of the measurement of the amount of capacity, measurement and units of measurement of common units of measurement and their significance in rate 1, currency, length, area, volume, unit size, volume, weight and rate. (Omitted)
16、 2, commonly used time units and their relationships. (Slightly) with a measurement units Zhijian of of poly 1, and of method 2, and poly method 3, and of method and poly method of relationship measurement distance of method 1, and tool measurement 2, and estimates 16, and subject: geometry prelimin
17、ary knowledge (1)-line and angle review content line, and segment, and Ray, and vertical, and parallel, and angle angle of classification (slightly) 17, and subject: geometry preliminary knowledge (2)-plane graphics review content triangle, and edges shaped, and round, and fan axisymmetric graphics
18、perimeter and area combination graphics of area subject : Preliminary knowledge (3)-review of solid content category 1-d shapes are divided into: cylinder and cone 2, column is divided into: cuboid, square 3, cone cone of the features of cuboids and cubes relationship between characteristics of circ
19、ular cone is slightly solid surface area and volume 1, size 2, table .和5（2013 年普通高等学校招生统一考试浙江数学（理）试题（纯 WORD版）如图,在四面体 中, 平面 , . 是 的中点, 是 的中点,点 在线段 上,且 .(1)证明: 平面 ;(2)若二面角 的大小为 ,求 的大小.6（2013 年普通高等学校招生统一考试广东省数学（理）卷（纯 WORD版）如图 1,在等腰直角三角形 中, , , 分别是 上的点, ,relationship, established equivalent relationship
20、 14, and subject: application problem (4)-scores and percentage application problem review content overview answers scores, and percentage application problem of key is: according to meaning, (1) determine standard volume (units “1“) (2) find associate “volume rate corresponds to“ relationship, Then
21、 in-line solution. Category fraction multiplication word problem score Division applications engineering problem problem XV, a subject: review of the measurement of the amount of capacity, measurement and units of measurement of common units of measurement and their significance in rate 1, currency,
22、 length, area, volume, unit size, volume, weight and rate. (Omitted) 2, commonly used time units and their relationships. (Slightly) with a measurement units Zhijian of of poly 1, and of method 2, and poly method 3, and of method and poly method of relationship measurement distance of method 1, and
23、tool measurement 2, and estimates 16, and subject: geometry preliminary knowledge (1)-line and angle review content line, and segment, and Ray, and vertical, and parallel, and angle angle of classification (slightly) 17, and subject: geometry preliminary knowledge (2)-plane graphics review content t
24、riangle, and edges shaped, and round, and fan axisymmetric graphics perimeter and area combination graphics of area subject : Preliminary knowledge (3)-review of solid content category 1-d shapes are divided into: cylinder and cone 2, column is divided into: cuboid, square 3, cone cone of the featur
25、es of cuboids and cubes relationship between characteristics of circular cone is slightly solid surface area and volume 1, size 2, table .和为 的中点.将 沿 折起,得到如图 2所示的四棱锥 ,其中.() 证明: 平面 ; () 求二面角 的平面角的余弦值.7（2013 年高考陕西卷（理）如图, 四棱柱 ABCD-A1B1C1D1的底面 ABCD是正方形, O为底面中心, A1O平面 ABCD, . () 证明: A1C平面 BB1D1D; () 求平面 O
26、CB1与平面 BB1D1D的夹角 的大小. 8（2013 年高考四川卷（理）如图,在三棱柱 中,侧棱 底面 , , 分别是线段 的中点, 是线段的中点.relationship, established equivalent relationship 14, and subject: application problem (4)-scores and percentage application problem review content overview answers scores, and percentage application problem of key is: accor
27、ding to meaning, (1) determine standard volume (units “1“) (2) find associate “volume rate corresponds to“ relationship, Then in-line solution. Category fraction multiplication word problem score Division applications engineering problem problem XV, a subject: review of the measurement of the amount
28、 of capacity, measurement and units of measurement of common units of measurement and their significance in rate 1, currency, length, area, volume, unit size, volume, weight and rate. (Omitted) 2, commonly used time units and their relationships. (Slightly) with a measurement units Zhijian of of pol
29、y 1, and of method 2, and poly method 3, and of method and poly method of relationship measurement distance of method 1, and tool measurement 2, and estimates 16, and subject: geometry preliminary knowledge (1)-line and angle review content line, and segment, and Ray, and vertical, and parallel, and
30、 angle angle of classification (slightly) 17, and subject: geometry preliminary knowledge (2)-plane graphics review content triangle, and edges shaped, and round, and fan axisymmetric graphics perimeter and area combination graphics of area subject : Preliminary knowledge (3)-review of solid content
31、 category 1-d shapes are divided into: cylinder and cone 2, column is divided into: cuboid, square 3, cone cone of the features of cuboids and cubes relationship between characteristics of circular cone is slightly solid surface area and volume 1, size 2, table .和()在平面 内,试作出过点 与平面 平行的直线 ,说明理由,并证明直线平
32、面 ;()设()中的直线 交 于点 ,交 于点 ,求二面角 的余弦值.9（2013 年普通高等学校招生全国统一招生考试江苏卷（数学）（已校对纯 WORD版含附加题）本小题满分 10分.如图,在直三棱柱 中, , , ,点 是的中点(1)求异面直线 与 所成角的余弦值(2)求平面 与 所成二面角的正弦值.10（2013 年普通高等学校招生统一考试大纲版数学（理）WORD 版含答案（已校对）如图,四棱锥 中, 与 都是等边三角形.(I)证明: (II)求二面角 的大小.relationship, established equivalent relationship 14, and subject
33、: application problem (4)-scores and percentage application problem review content overview answers scores, and percentage application problem of key is: according to meaning, (1) determine standard volume (units “1“) (2) find associate “volume rate corresponds to“ relationship, Then in-line solutio
34、n. Category fraction multiplication word problem score Division applications engineering problem problem XV, a subject: review of the measurement of the amount of capacity, measurement and units of measurement of common units of measurement and their significance in rate 1, currency, length, area, v
35、olume, unit size, volume, weight and rate. (Omitted) 2, commonly used time units and their relationships. (Slightly) with a measurement units Zhijian of of poly 1, and of method 2, and poly method 3, and of method and poly method of relationship measurement distance of method 1, and tool measurement
36、 2, and estimates 16, and subject: geometry preliminary knowledge (1)-line and angle review content line, and segment, and Ray, and vertical, and parallel, and angle angle of classification (slightly) 17, and subject: geometry preliminary knowledge (2)-plane graphics review content triangle, and edg
37、es shaped, and round, and fan axisymmetric graphics perimeter and area combination graphics of area subject : Preliminary knowledge (3)-review of solid content category 1-d shapes are divided into: cylinder and cone 2, column is divided into: cuboid, square 3, cone cone of the features of cuboids an
38、d cubes relationship between characteristics of circular cone is slightly solid surface area and volume 1, size 2, table .和11（2013 年普通高等学校招生统一考试山东数学（理）试题（含答案）如图所示,在三棱锥 中, 平面 , , 分别是的中点, , 与 交于点 , 与 交于点 ,连接 .()求证: ; ()求二面角 的余弦值.relationship, established equivalent relationship 14, and subject: applic
39、ation problem (4)-scores and percentage application problem review content overview answers scores, and percentage application problem of key is: according to meaning, (1) determine standard volume (units “1“) (2) find associate “volume rate corresponds to“ relationship, Then in-line solution. Categ
40、ory fraction multiplication word problem score Division applications engineering problem problem XV, a subject: review of the measurement of the amount of capacity, measurement and units of measurement of common units of measurement and their significance in rate 1, currency, length, area, volume, u
41、nit size, volume, weight and rate. (Omitted) 2, commonly used time units and their relationships. (Slightly) with a measurement units Zhijian of of poly 1, and of method 2, and poly method 3, and of method and poly method of relationship measurement distance of method 1, and tool measurement 2, and
42、estimates 16, and subject: geometry preliminary knowledge (1)-line and angle review content line, and segment, and Ray, and vertical, and parallel, and angle angle of classification (slightly) 17, and subject: geometry preliminary knowledge (2)-plane graphics review content triangle, and edges shape
43、d, and round, and fan axisymmetric graphics perimeter and area combination graphics of area subject : Preliminary knowledge (3)-review of solid content category 1-d shapes are divided into: cylinder and cone 2, column is divided into: cuboid, square 3, cone cone of the features of cuboids and cubes
44、relationship between characteristics of circular cone is slightly solid surface area and volume 1, size 2, table .和12（2013 年普通高等学校招生统一考试新课标卷数学（理）（纯 WORD版含答案）如图,直棱柱 中, 分别是 的中点,.()证明: 平面 ; ()求二面角 的正弦值.13（2013 年高考北京卷（理）如图,在三棱柱 ABC-A1B1C1中, AA1C1C是边长为 4的正方形,平面 ABC平面 AA1C1C,AB=3,BC=5.()求证: AA1平面 ABC;()求二面角 A1-BC1-B1的余弦值;()证明:在线段 BC1存在点 D,使得 AD A1B,并求 的值.
