2017-2018北京市海淀区高三数学一模理科试题及答案.pdf

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2、 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4

3、V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7

4、 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4

5、V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7

6、 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4

7、V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L2文档编码:CG5E7M1Y2H7 HC3K4C8P5O6 ZT6E3K4V3L23 文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:C

8、X4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4

9、P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 H

10、G9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1

11、M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 Z

12、L10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H

13、4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1

14、文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H14 文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码

15、:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1

16、D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8

17、 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4

18、H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9

19、 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T

20、9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H15 海淀区高三年级第二学期期中练习数学(理)参考答案与评分标准一、选择题共8 小

21、题,每题5 分,共 40 分。在每题列出的四个选项中,选出符合题目要求的一项。题号12345678答案CADBADDB二、填空题共6 小题,每题5 分,共 30 分。题号91011121314答案1i522331348(3,31x注:第 12、14 题第一空均为3 分,第二空均为2 分。三、解答题共6小题,共80分。解答题应写出解答步骤。15.此题总分值13 分2()2 3 sincos2cos16666f21332 3212222 3分()3sin 2cos2f xxx2sin(2)6x因为函数sinyx的单调递增区间为2,222kkkZ,令222262kxkkZ,解得36kxkkZ,故()

22、f x的单调递增区间为,36kkkZ 13 分16.此题总分值13 分文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P

23、8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG

24、9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M

25、2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL

26、10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4

27、W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文

28、档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H16 设事件A:从上表12个月中,随机取出1个月,该月甲地空气月平均相对湿度有利于病毒繁殖和传播.用

29、iA表示事件抽取的月份为第i月,则123456789101112,AAAAAAAAAAAA共 12 个基本领件,26891011,AAAAAAA共 6个基本领件,所以,61()122P A.4分在第一季度和第二季度的6 个月中,甲、乙两地空气月平均相对湿度都有利于病毒繁殖和传播的月份只有 2 月和 6 月,故X所有可能的取值为0,1,2.242662(0)155CP XC,1124268(1)15C CP XC,22261(2)15CP XC随机变量X的分布列为X012P25815115M的最大值为58%,最小值为54%.13 分17.此题总分值14 分方法1:设AC的中点为O,连接BO,PO

30、.由题意2PAPBPC,1PO,1AOBOCO因为在PAC中,PAPC,O为AC的中点所以POAC,因为在POB中,1PO,1OB,2PB所以POOB因为ACOBO,,AC OB平面ABC所以PO平面ABC因为PO平面PAC 4分所以平面PAC平面ABCOPCAB文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1

31、文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:C

32、X4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4

33、P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 H

34、G9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1

35、M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 Z

36、L10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H

37、4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H17 方法2:设AC的中点为O,连接BO,PO.因为在PAC中,PAPC,O为AC的中点所以POAC,因为PAPBPC,POPOPO,AOBOCO所以POAPOBPOC所以90POAPOBPOC所以POOB因为ACOBO,,AC OB平面ABC所以PO平面ABC因为PO平面PAC 4分所以平面PAC平面ABC方法 3:设AC的中点为O,连接PO,因为在PAC中,PAPC,所以POAC设AB的中点Q,连接PQ,OQ及OB.因为在OAB中,OAOB,Q为AB的中点所以OQAB.因为在PAB中,PAPB,Q

38、为AB的中点所以PQAB.因为PQOQQ,,PQ OQ平面OPQ所以AB平面OPQ因为OP平面OPQOPCABOPCABQ文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9

39、ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9

40、H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H

41、1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:

42、CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D

43、4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8

44、HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H18 所以OPAB因为ABACA,,AB AC平

45、面ABC所以PO平面ABC因为PO平面PAC 4分所以平面PAC平面ABC由PO平面ABC,OBAC,如图建立空间直角坐标系,则(0,0,0)O,(1,0,0)C,(0,1,0)B,(1,0,0)A,(0,0,1)P由OB平面APC,故平面APC的法向量为(0,1,0)OB由(1,1,0)BC,(1,0,1)PC设平面PBC的法向量为(,)nx y z,则由00BCPCnn得:00 xyxz令1x,得1y,1z,即(1,1,1)n13cos,3|3 1n OBn OBnOB由二面角APCB是锐二面角,所以二面角APCB的余弦值为33 9分设BNBP,01,则(1,1,0)(1,0,1)(1,1

46、,)BMBCCMBCCP(1,1,0)(0,1,1)(1,1,)ANABBNABBP令0BMAN得(1)1(1)(1)0即1111,是关于 的单调递增函数,xOyzPCAB文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码

47、:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1

48、D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8

49、 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4

50、H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9 ZL10T9H4W10H1文档编码:CX4S1D4P8H8 HG9L4H1M2X9

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