(完整word版)2016届高三数学知识点优题精练14(良心出品必属精品).pdf

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1、1 上海市 2016 届高三数学理优题精练立体几何一、填空、选择题1、（2015 年上海高考）若圆锥的侧面积与过轴的截面面积之比为2，则其母线与轴的夹角的大小为2、（2014 年上海高考）若圆锥的侧面积是底面积的3倍，则其母线与底面夹角的大小为（结果用反三角函数值表示）.3、（2013 年上海高考）在xOy平面上，将两个半圆弧22(1)1(1)xyx和22(3)1(3)xyx、两条直线1y和1y围成的封闭图形记为D，如图中阴影部分记 D绕 y 轴旋转一周而成的几何体为，过(0,)(|1)yy作的水平截面，所得截面面积为2418y，试利用祖暅原理、一个平放的圆柱和一个长方体，得出的体积值为 _

2、4、（静安、青浦、宝山区2015届高三二模）已知扇形的圆心角是1弧度，半径为 5cm，则此扇形的弧长为cm5、（闵行区 2015届高三二模）如图，已知直线 l平面，垂足为 O，在ABC中，2,2,2 2BCACAB，点 P是边 AC 上的动点.该三角形在空间按以下条件作自由移动：(1)Al，(2)C.则OPPB的最大值为 ()(A)2.(B)2 2.(C)15.(D)10.6、（浦东新区 2015届高三二模）已知球的表面积为642cm，用一个平面截球，使截面圆的半径为 2cm，则截面与球心的距离是cm.A B l C P O 精品资料-欢迎下载-欢迎下载 名师归纳-第 1 页，共 16 页 -

3、2 7、（普陀区 2015届高三二模）一个圆锥与一个球的体积相等且圆锥的底面半径是球半径的2 倍，若圆锥的高为 1，则球的表面积为8、（徐汇、松江、金山区2015届高三二模）如图所示：在直三棱柱111ABCA B C中，ABBC，1ABBCBB,则平面11A B C与平面 ABC 所成的二面角的大小为9、（长宁、嘉定区 2015届高三二模）在四棱锥ABCDV中，1B，1D分别为侧棱 VB，VD 的中点，则四面体11CDAB的体积与四棱锥ABCDV的体积之比为（）A6:1B5:1C4:1D3:110、（奉贤区 2015届高三上期末）如图，在矩形ABCD中，E为边 AD 的中点，1AB，2BC，分

4、别以 A、D 为圆心，1为半径作圆弧 EB、EC（E在线段 AD 上）.由两圆弧 EB、EC 及边 BC 所围成的平面图形绕直线AD 旋转一周，则所形成的几何体的体积为11、（黄浦区 2015届高三上期末）已知某圆锥体的底面半径3r，沿圆锥体的母线把侧面展开后得到一个圆心角为23的扇形，则该圆锥体的表面积是12、（金山区 2015 届高三上期末）如图所示，在长方体ABCD EFGH 中，AD=2，AB=AE=1，M为矩形AEHD 内的一点，如果 MGF=MGH，MG 和平面 EFG 所成角的正切值为12，那么点 M到平面 EFGH 的距离是13、（浦东区 2015 届高三上期末）如图，已知PA

5、平面ABC，ABAC，BCAP，30CBA,D、E 分别是BC、AP 的中点.则异面直线AC与 DE 所成角的大小为 .精品资料-欢迎下载-欢迎下载 名师归纳-第 2 页，共 16 页 -文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:C

6、X8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6

7、G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:C

8、X8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6

9、G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:C

10、X8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6

11、G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O73 14、（松江区 2015届高三上期末）在正四棱柱1111ABCDA B C D中，1BC与平面 ABCD 所成的角为60，则1BC与 AC 所成的角为（结果用反三角函数

12、表示）15、（宝山区 2015届高三上期末）正四棱锥ABCDP的所有棱长均相等，E是 PC 的中点，那么异面直线BE与PA所成的角的余弦值等于ECDPAB二、解答题1、（2015 年上海高考）如图，在长方体ABCD A1B1C1D1中，AA1=1，AB=AD=2，E、F 分别是 AB、BC的中点，证明 A1、C1、F、E四点共面，并求直线CD1与平面 A1C1FE所成的角的大小P ABC D E 精品资料-欢迎下载-欢迎下载 名师归纳-第 3 页，共 16 页 -文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6

13、G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:C

14、X8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6

15、G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:C

16、X8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6

17、G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:C

18、X8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6

19、G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O74 2、（2014年上海高考）底面边长为2的正三棱锥-P ABC，其表面展开图是三角形123PP P，如图.求123P P P的各边长及此三棱锥的体积V.BACP3P1P23、（2013 年上海高考）如图，在长方体ABCD-A1B1C1D1中，AB=2,AD=1,A1A=1，证明直线 BC1平行于平面 DA1C，并求直线 BC1到平面 D1AC的距离.4、（静安、青浦、宝山区2015届高三二模）如图，在直三棱柱111CBAABC中，已知21ABBCAA，AB BC（1）求四棱锥111AB

20、CC B的体积；（2）求二面角111CCAB的大小D1C1B1A1DCBACBAC1B1A1精品资料-欢迎下载-欢迎下载 名师归纳-第 4 页，共 16 页 -文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5

21、Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7

22、文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5

23、Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7

24、文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5

25、Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7

26、文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O75 P S A Q O B 5、（闵行区 2015 届高三二模）如图，已知圆锥的底面半径为10r，点 Q为半圆弧AB的中点，点P为母线 SA的中点若直线PQ与 SO所成的角为4，求此圆锥的表面积6、（

27、浦东新区 2015届高三二模）如图，在四棱锥ABCDP中，底面正方形ABCD的边长为 2，PA底面 ABCD,E为 BC的中点，PC与平面 PAD所成的角为22arctan（1）求异面直线AE与 PD所成角的大小（结果用反三角函数表示）；（2）求点 B到平面 PCD的距离7、（徐汇、松江、金山区 2015 届高三二模）如图，在 Rt AOB中，6OAB，斜边4AB，D是AB的中点现将 Rt AOB以直角边AO为轴旋转一周得到一个圆锥，点C为圆锥底面圆周上的一点，且2BOC（1）求该圆锥的全面积；（2）求异面直线AO与CD所成角的大小（结果用反三角函数值表示）精品资料-欢迎下载-欢迎下载 名师归

28、纳-第 5 页，共 16 页 -文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码

29、:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5

30、R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码

31、:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5

32、R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码

33、:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5

34、R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O76 DCBAD1A1C1B1M第 19 题图8、（长宁、嘉定区 2015届高三二模）如图，四棱锥ABCDP的底面 ABCD为菱形，PD平面 ABCD，2ADPD，60BAD，E 为 BC 的中点（1）求证：ED平面 PAD；（2）求平面 PAD与平面 PBC所成的锐二面角大小的余弦值9、（青浦区 2015届高三上期末）如图所示

35、，在长方体1111ABCDA B C D中，2AB，2BC，14CC，M为棱1CC上一点.（1）若11C M，求异面直线1A M和11C D所成角的正切值；（2）若12C M，求证BM平面11AB M.10、（松江区 2015届高三上期末）沙漏是古代的一种计时装置，它由两个形状完全相同的容器和一个狭窄的连接管道组成，开始时细沙全部在上部容器中，细沙通过连接管道全部流到下部容器所需要的时间称为该沙漏的一个沙时。如图，某沙漏由上下两个圆锥组成，圆锥的底面直径和高均为8cm，细沙全部在上部时，其高度为圆锥高度的23(细管长度忽略不计)（1）如果该沙漏每秒钟漏下0.02cm3的沙，则该沙漏的一个沙时为

36、多少秒（精确到1 秒）？（2）细沙全部漏入下部后，恰好堆成个一盖住沙漏底部的圆锥形沙堆，求此锥形沙堆的高度（精确到 0.1cm）E P A C D B h23h精品资料-欢迎下载-欢迎下载 名师归纳-第 6 页，共 16 页 -文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6

37、G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:C

38、X8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6

39、G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:C

40、X8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6

41、G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:C

42、X8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O77 11、（徐汇区 2015届高三上期末）如图所示，某传动装置由两个陀螺12,T T组成，陀螺之间没有滑动每个陀螺都由具有公共轴的圆

43、锥和圆柱两个部分构成，每个圆柱的底面半径和高都是相应圆锥底面半径的13，且12,T T的轴相互垂直，它们相接触的直线与2T的轴所成角2arctan3 若陀螺2T中圆锥的底面半径为0r r（1）求陀螺2T的体积；（2）当陀螺2T转动一圈时，陀螺1T中圆锥底面圆周上一点P转动到点1P，求 P与1P之间的距离12、（上海市八校 2015届高三 3 月联考）如图：将圆柱的侧面沿母线1AA展开，得到一个长为2，宽1AA为2的矩形。（1）求此圆柱的体积；（2）由点 A拉一根细绳绕圆柱侧面两周到达1A，求绳长的最小值（绳粗忽略不计）。13、（嘉定区 2015届高三上期末）如图，在直三棱柱111CBAABC中

44、，90BAC，21AAACAB，点 E、F 分别为棱 AC 与11BA的中点（1）求三棱锥11EFCA的体积；（2）求异面直线CA1与 EF 所成角的大小F C A E B ACB精品资料-欢迎下载-欢迎下载 名师归纳-第 7 页，共 16 页 -文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1

45、 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9

46、H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1

47、 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9

48、H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1

49、 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9

50、H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O7文档编码:CX8M8Y1F9I1 HM5Z4T5R6G5 ZR9V2Z9H1O78 14、（静安区 2015 届高三上期末）如图，长方体1111DCBAABCD中，2ADAB，41AA，点P为