(完整word版)2019年全国I卷理科数学高考真题(2).pdf

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1、2019年普通高等学校招生全国统一考试理科数学注意事项：1答卷前，考生务必将自己的姓名、考生号等填写在答题卡和试卷指定位置上。2回答选择题时，选出每小题答案后，用铅笔把答题卡对应题目的答案标号涂黑。如需改动，用橡皮擦干净后，再选涂其他答案标号。回答非选择题时，将答案写在答题卡上。写在本试卷上无效。3考试结束后，将本试卷和答题卡一并交回。一、选择题：本题共12小题，每小题5分，共60分。在每小题给出的四个选项中，只有一项是符合题目要求的。1已知集合24260MxxNx xx，则MNI=A43xxB42 xxC22xxD23xx2设复数 z 满足=1iz，z 在复平面内对应的点为(x，y)，则A2

2、2+11()xyB221(1)xyC22(1)1yxD22(+1)1yx3已知0.20.32log 0.220.2abc，则AabcBacbCcabDbca4 古希腊时期，人们认为最美人体的头顶至肚脐的长度与肚脐至足底的长度之比是512（512 0.618，称为黄金分割比例)，著名的“断臂维纳斯”便是如此此外，最美人体的头顶至咽喉的长度与咽喉至肚脐的长度之比也是512若某人满足上述两个黄金分割比例，且腿长为105 cm，头顶至脖子下端的长度为 26 cm，则其身高可能是A165 cm B175 cm C185 cm D190 cm 精品资料-欢迎下载-欢迎下载 名师归纳-第 1 页，共 11

3、页 -5函数 f(x)=2sincosxxxx在,的图像大致为ABCD6我国古代典籍周易用“卦”描述万物的变化每一“重卦”由从下到上排列的6 个爻组成，爻分为阳爻“”和阴爻“”，如图就是一重卦在所有重卦中随机取一重卦，则该重卦恰有3 个阳爻的概率是A516B1132C2132D11167已知非零向量a，b 满足|2|ab，且()abb，则 a 与 b 的夹角为A6B3C23D568如图是求112122的程序框图，图中空白框中应填入AA=12ABA=12ACA=112ADA=112A精品资料-欢迎下载-欢迎下载 名师归纳-第 2 页，共 11 页 -文档编码:CG4Z1M10N6G6 HL9A4

4、S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6

5、 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3

6、J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q1

7、0文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:

8、CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M

9、10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6

10、 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q10文档编码:CG4Z1M10N6G6 HL9A4S7I3I6 ZO1J3J8Q3Q109记nS 为等差数列na的前 n 项和已知4505Sa，则A25nanB310nanC228nSnnD2122nSnn10已知椭圆C 的焦点为121,01,0FF()，()，过 F2的直线与C 交于 A，B 两点若

11、22|2|AFF B，1|ABBF，则 C 的方程为A2212xyB22132xyC22143xyD22154xy11关于函数()sin|sin|f xxx有下述四个结论：f(x)是偶函数f(x)在区间（2，）单调递增f(x)在,有 4 个零点f(x)的最大值为2其中所有正确结论的编号是ABCD12已知三棱锥P-ABC 的四个顶点在球O 的球面上，PA=PB=PC，ABC 是边长为2 的正三角形，E，F分别是 PA，AB 的中点，CEF=90，则球 O 的体积为A68B64C62D6二、填空题：本题共4小题，每小题5分，共20分。13曲线23()exyxx在点(0)0，处的切线方程为_14记

12、Sn为等比数列 an的前 n 项和若214613aaa，则 S5=_ 15甲、乙两队进行篮球决赛，采取七场四胜制（当一队赢得四场胜利时，该队获胜，决赛结束）根据前期比赛成绩，甲队的主客场安排依次为“主主客客主客主”设甲队主场取胜的概率为0.6，客场取胜的概率为 0.5，且各场比赛结果相互独立，则甲队以41 获胜的概率是_16已知双曲线C：22221(0,0)xyabab的左、右焦点分别为F1，F2，过 F1的直线与C 的两条渐近线分别交于 A，B 两点若1F AABuu u ruu u r，120F B F Buuu r uu u u r，则 C 的离心率为 _三、解答题：共70 分。解答应写

13、出文字说明、证明过程或演算步骤。第1721 题为必考题，每个试题考生都必须作答。第22、23 题为选考题，考生根据要求作答。（一）必考题：共60 分。精品资料-欢迎下载-欢迎下载 名师归纳-第 3 页，共 11 页 -文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS

14、4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R

15、8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS

16、4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R

17、8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS

18、4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R

19、8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R417(12 分)ABC的内角 A，B，C 的对边分别为a，b，c，设22(sinsin)sinsinsinBCABC（1）求 A；（2）若22

20、abc，求 sinC18（12 分）如图，直四棱柱 ABCDA1B1C1D1的底面是菱形，AA1=4，AB=2，BAD=60，E，M，N 分别是 BC，BB1，A1D 的中点（1）证明：MN平面 C1DE；（2）求二面角A-MA1-N 的正弦值19（12 分）已知抛物线C：y2=3x 的焦点为 F，斜率为32的直线 l 与 C 的交点为A，B，与 x 轴的交点为P（1）若|AF|+|BF|=4，求 l 的方程；（2）若3APPBuuu ruu u r，求|AB|20（12 分）已知函数()sinln(1)f xxx，()fx为()f x的导数证明：（1）()fx在区间(1,)2存在唯一极大值点

21、；（2）()f x有且仅有 2 个零点21（12 分）为治疗某种疾病，研制了甲、乙两种新药，希望知道哪种新药更有效，为此进行动物试验试验方案如下：每一轮选取两只白鼠对药效进行对比试验对于两只白鼠，随机选一只施以甲药，另一只施以乙药一轮的治疗结果得出后，再安排下一轮试验当其中一种药治愈的白鼠比另一种药治愈的白鼠多 4 只时，就停止试验，并认为治愈只数多的药更有效为了方便描述问题，约定：对于每轮试验，精品资料-欢迎下载-欢迎下载 名师归纳-第 4 页，共 11 页 -文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8

22、R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:C

23、Y9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8

24、R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:C

25、Y9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8

26、R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:C

27、Y9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8

28、R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4若施以甲药的白鼠治愈且施以乙药的白鼠未治愈则甲药得1 分，乙药得1分；若施以乙药的白鼠治愈且施以甲药的白鼠未治愈则乙药得1 分，甲药得1分；若都治愈或都未治愈则两种药均得0 分甲、乙两种药的治愈率分别记为和 ，一轮试验中甲药的得分记为X（1）求X的分布列；（2）若甲药、乙药在试验开始时都赋予4 分，(0,1,8)ip iL表示“甲药的累计得分为i时，最终认为甲药比乙药更有效”的概率，则00p，81p，11iiiipapbpcp(1,2,7)iL，其中(1)aP X，(0)bP X，(1)

29、cP X假设0.5，0.8(i)证明：1iipp(0,1,2,7)iL为等比数列；(ii)求4p，并根据4p的值解释这种试验方案的合理性（二）选考题：共10 分。请考生在第22、23 题中任选一题作答。如果多做，则按所做的第一题计分。22 选修 44：坐标系与参数方程（10 分）在直角坐标系xOy 中，曲线C 的参数方程为2221141txttyt，（t 为参数）以坐标原点O 为极点，x 轴的正半轴为极轴建立极坐标系，直线l 的极坐标方程为2cos3sin110（1）求 C 和 l 的直角坐标方程；（2）求 C 上的点到 l 距离的最小值23 选修 45：不等式选讲（10 分）已知 a，b，c

30、 为正数，且满足abc=1证明：（1）222111abcabc；（2）333()()()24abbcca精品资料-欢迎下载-欢迎下载 名师归纳-第 5 页，共 11 页 -文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8

31、P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2

32、U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8

33、P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2

34、U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8

35、P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2

36、U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R42019 年普通高等学校招生全国统一考试理科数学?参考答案一、选择题1C2C3B4B5D6A7B8A9A10B11C12D二、填空题13 y=3x141213150.18 16 2 三、解

37、答题17解：（1）由已知得222sinsinsinsinsinBCABC，故由正弦定理得222bcabc由余弦定理得2221cos22bcaAbc因为0180A，所以60A（2）由（1）知120BC，由题设及正弦定理得2sinsin 1202sinACC，即631cossin2sin222CCC，可得2cos602C由于0120C，所以2sin602C，故sinsin6060CCsin60cos60cos60sin60CC62418解：（1）连结B1C，ME因为 M，E分别为 BB1，BC的中点，所以 MEB1C，且 ME=12B1C又因为 N为A1D的中点，所以 ND=12A1D精品资料-欢

38、迎下载-欢迎下载 名师归纳-第 6 页，共 11 页 -文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4

39、Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8

40、O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4

41、Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8

42、O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4

43、Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8

44、O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4由题设知 A1B1PDC，可得 B1CPA1D，故 MEPND，因此四边形 MNDE 为平行四边形，MNED又MN平面 EDC1，所以 MN平面 C1DE（2）由已知可得 DEDA以D为坐标原点，DAuuu r的方向为 x轴正方向，建立如图所示的空间直角坐标系D-xyz，则(2,0,0)A，A1(2，0

45、，4)，(1,3,2)M，(1,0,2)N，1(0,0,4)A Auu ur，1(1,3,2)AMuuuu r，1(1,0,2)A Nuuuu r，(0,3,0)MNuu u u r设(,)x y zm为平面 A1MA的法向量，则1100A MA Auu uu ruu urmm，所以32040 xyzz，可取(3,1,0)m设(,)p q rn为平面 A1MN的法向量，则100MNA Nu uu u ru uu u r，nn所以3020qpr，可取(2,0,1)n于是2 315cos,|525m nm nm n，精品资料-欢迎下载-欢迎下载 名师归纳-第 7 页，共 11 页 -文档编码:CY

46、9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R

47、5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY

48、9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R

49、5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY

50、9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R5 ZS4Q2U5H5R4文档编码:CY9X2R8O8P6 HK6T8D2B8R