2022年专题8立体几何中的向量方法—求空间角与距离高考数学一轮复习资料 .pdf

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1、一、课前小测摸底细题例：1.【人教 A版选修 2-1P97 习题 14 改编】若向量a(1，2)，b(2，1，2)且 a 与 b 的夹角的余弦值为89，则 _2.【2014 高考北京理第17 题】如图，正方体MADE的边长为2，B，C分别为AM，MD的中点，在五棱锥ABCDEP中，F为棱PE的中点，平面ABF与棱FD，PC分别交于G，H.（1）求证：FGAB/；（2）若PA底面ABCDE，且PAAE，求直线BC与平面ABF所成角的大小，并求线段PH的长.（2）因为PA底面ABCDE，所以ABPA，AEPA，3.【广东省东 莞市 20XX届高三模拟考试一】如图所示的多面体中，ABCD是菱形，BD

2、EF是矩形，ED平面ABCD，3BAD，2AD(1)求证：平面FCB平面AED；(2)若二面角CEFA为直二面角，求直线BC与平面AEF所成的角的正弦值【答案】（1）平面FBC平面.EDA；（2）6sin4CGM.【解析】（1）矩形BDEF中，,FBEDFB平面AED，ED平面AED,FB平面AED，文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL

3、3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 H

4、L3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10

5、HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10

6、 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z1

7、0 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z

8、10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4

9、Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7文档编码:CC8K9R5X4Z10 HL3E2G5R10W9 ZY10U6J5Q4P7同理BC平面AED,又BBCFB平面FBC平面.EDA建立如图的直角坐标系，4.正四棱锥S ABCD 中，O 为顶点 S在底面上的射影，P 为侧棱 SD 的中点，且SOOD，则直线BC 与平面 PAC 所成的角是 _【答案】30o【解析】文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10

10、R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY1

11、0R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY

12、10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 H

13、Y10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10

14、HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10

15、 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A1

16、0 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E55.【改编自20XX年广东理】如图 1,在等腰直角三角形ABC中,90A,6BC,D E分别是,AC AB上的点,2CDBE,O为BC的中点.将ADE沿DE折起,得到如图2 所示的四棱锥ABCDE,其中3

17、A O.A O平面BCDE.求二面角ACDB的平面角的余弦值.文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7

18、N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J

19、7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10

20、J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY1

21、0J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY

22、10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:C

23、Y10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5二、课中考

24、点全掌握考点 1 异面直线所成的角【题组全面展示】【1-1】【20XX 年陕西高考】如图，在空间直角坐标系中有直三棱柱ABCA1B1C1，CACC12CB，则直线 BC1与直线 AB1夹角的余弦值为()A.55B.53C.2 55D.35文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10

25、J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY1

26、0J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY

27、10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:C

28、Y10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:

29、CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码

30、:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编

31、码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5直线 BC1与直线 AB1夹角的余弦值为55.【1-2】【2013 辽宁大连一模】长方体 ABCD A1B1C1D1中，ABAA12，AD1，E 为 CC1的中点，则异面直线 BC1与 AE 所成角的余弦值为()A.1010B.3010C.21510D.31010【基础知识重温】1.两条异面直线所成的角定义：设a，b 是两条异面直线，过空间任一点O 作直线 a a，b b，则 a与 b所夹的锐角或直角叫做 a 与 b 所成的角范围

32、：两异面直线所成角的取值范围是(0,2向量求法：设直线a，b 的方向向量为a，b，其夹角为，则有cos|cos|a babr rrr.【方法规律技巧】1.求一对异面直线所成角：一是按定义平移转化为两相交直线的夹角；二是在异面直线上各取一向量，转化为两向量的夹角或其补角，无论哪种求法，都应注意角的范围的限定2.利用直线的方向向量的夹角求异面直线的夹角时，注意区别：当异面直线的方向向量的夹角为锐角或直文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U

33、7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8

34、U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N

35、8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7

36、N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J

37、7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10

38、J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY1

39、0J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5角时，就是此异面直线所成的角；当异面直线的方向向量的夹角为钝角时，其补角才是异面直线所成的角【新题变式探究】【变式一】【改编自上海市六校20XX届 高三下学期第二次联考数学（理）试题】如图，几何体EFABCD中，CDEF为边长为2的正方形，ABCD为直角梯形，ABCDP，

40、ADDC，2AD，4AB，90ADFo求异面直线DF和BE所成角的余弦值.【变式二】【2014 安庆二模】如图，E是以AB为直径的半圆O上异于,A B的点，矩形ABCD所在的平面垂直于半圆O所在的平面，且22ABADa。（）求证：EAEC。（）若异面直线AE和DC所成的角为6，求平面DCE和平面AEB所成的锐二面角的余弦值。文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY1

41、0J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY

42、10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:C

43、Y10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:

44、CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码

45、:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编

46、码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档

47、编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5()文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E

48、5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7

49、E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L

50、7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3L7E5文档编码:CY10J7N8U7A10 HY10R9B4N3Z3 ZC3S2I3