2019年普通高等学校招生全国统一考试理科数学(全国III卷)解析版.pdf

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1、2019 年普通高等学校招生全国统一考试（全国III 卷）理科数学一、选择题1、已知集合 1|,2,1,0,12xxBA，则BA（）A.1,0,1B.B.0,1C.C.1,1D.D.2,1,0答案：A 解答：11|1|2xxxxB，所以 1,0,1BA.2.若iiz2)1(，则z（）A.i1B.i1C.i1D.i1答案：D 解答：iiz2)1(,iiiiiiiiiz1)1()1)(1()1(212.3.西游记三国演义 水浒传和红楼梦是中国古典文学瑰宝，并称为中国古典小说四大名著，某中学为了解本校学生阅读四大名著的情况，随机调查了100 位学生，其中阅读过西游记或红楼梦的学生共有90 位，阅读过

2、红楼梦的学生共有80 位，阅读过西游记且阅读过红楼梦的学生共有60 位，则该校阅读过西游记的学生人数与该校学生总数比值的估计值为（）A.5.0B.6.0C.7.0D.8.0答案：C 解答：7.01006080904.42)1)(21(xx的展开式中3x的系数为（）A.12B.16C.20D.24答案：A 解答：由题意可知含3x的项为33142334121211xxCxxC，所以系数为12.5.已知各项均为正数的等比数列na的前4项和为15，且53134aaa，则3a（）A.16B.8C.4D.2答案：C 解答：设该等比数列的首项1a，公比q，由已知得，4211134a qa qa，因为10a且

3、0q，则可解得2q，又因为231(1)15aqqq，即可解得11a，则2314aa q.6.已知曲线xxaeyxln在点)1(ae，处的切线方程为bxy2，则（）A.ea,1bB.ea,1bC.1ea,1bD.1ea,1b答案：D 解析：令xxaexfxln)(，则1ln)(xaexfx，21)1(aef，得11eea.baef2)1(，可得1b.故选 D.文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y

4、4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M1

5、0K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5

6、R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A

7、8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4

8、M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4

9、Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A

10、1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P57.函数3222xxxy在 6,6的图像大致为（）A.B.C.D.答案：B 解析：32()22xxxyf x，332()2()()2222xxxxxxfxf x，()f x为奇函数，排除选项C.又334442424(4)8222f，根据图像进行判断，可知选项B 符合题意.8.如图，点N为正方形ABCD的中心，ECD为正三角形，平面ECD平面ABCD，M是线段ED的中点，则（）A.ENBM，且直线ENBM,是相交直线B.ENBM，且直线ENBM,是相交直线C.ENBM，且直线ENBM,是异面直线文档编

11、码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C

12、4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6

13、 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文

14、档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F

15、6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8

16、A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P

17、5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5D.ENBM，且直线ENBM,是异面直线答案：B 解析：连结BD，因为点N为正方形ABCD的中心，所以点N为BD的中点，可知直线ENBM,都是平面BED内的直线，且不平行，即直线ENBM,是相交直线，设正方形ABCD的边长为a2，则由题意可得：aDBaDNaDMaDE2

18、2,2,2，根据余弦定理可得：BDEaaBDEDMDBDMDBBMcos249cos222222，BDEaaBDEDNDEDNDEENcos246cos222222，所以ENBM，故选 B.9.执行右边的程序框图，如果输出为01.0，则输出s的值等于（）A.4212B.5212C.6212D.7212答案：C 解析：文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4

19、HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 Z

20、H3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编

21、码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C

22、4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6

23、 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文

24、档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F

25、6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5第一次循环：21,1 xs；第二次循环：221,211xs；第三次循环：3221,21211xs；第四次循环：43221,2121211xs；第七次循环：76221,21.21211xs，此时x成立，循环结束，可得输出的66221221.21211s.故选 C.10.双曲线C：22142xy的右焦点为F，点P为C的一条渐近线的点，O为坐标原点.若|POPF则PFO的面积为（）A:3 24B:3 22C:2 2D:3 2答案:A 解析：由双曲线的方程22042xy可得一条渐近线方程为22yx；在PFO中|POPF过点P做PH垂直OF因为2t

26、a nP O F=2得到32PH;所以13326224SP FO;故选 A;11.若()f x是定义域为R的偶函数，且在(0,)单调递减，则（）A.233231(log)(2)(2)4fffB.233231(log)(2)(2)4fffC.233231(2)(2)(log)4fff文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A

27、8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4

28、M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4

29、Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A

30、1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:C

31、C4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 H

32、O4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH

33、3A1A8Y4P5D.233231(2)(2)(log)4fff答案：C 解析:依据题意函数为偶函数且函数在(0,)单调递减，则函数在(,0)上单调递增；因为3331(log)(log 4)(log 4)4fff；又 因为233230221l o g4；所以233231(2)(2)(log)4fff；故选 C.12.设函数()sin05f xx，已知()f x在0 2，有且仅有5个零点，下述四个结论：1()f x在0,2有且仅有3个极大值点2()f x在0,2有且仅有2个极小值点3()f x在0,10单调递增4的取值范围是12 29,510其中所有正确结论的编号是A.14 B.23 C.123

34、 D.134答案：D 解析：根据题意，画出草图，由图可知122,x x，文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4

35、HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 Z

36、H3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编

37、码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C

38、4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6

39、 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文

40、档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5由题意可得，125565xx，解得12245295xx，所以2429255，解得1229510，故4 对；令52x得3010 x，图像中y轴右侧第一个最值点为最大值点，故1 对；122,x x

41、，()f x在0,2有2个或3个极小值点，故2 错；1229510，1149251051002，故3 对.二.填空题13.已知a，b为单位向量，且0a b，若25cab，则cos,a c .答案：23解析：222225454 59cababa b，3c，225252a caabaa b，22cos,1 33a ca cac.14.记nS为等差数列na的前n项和，若10a，213aa，则105SS .答案：4解析：设该等差数列的公差为d，213aa，113ada，故1120,0daad，1101101551102 292 102452452aaadSdaaSadd.15.设1F、2F为椭圆120

42、3622yxC：的两个焦点，M为C上一点且在第一象限，若21FMF为等腰三角形，则M的坐标为 _.答案：)15,3(文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8

43、Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M

44、10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y

45、5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1

46、A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC

47、4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO

48、4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5解析：已知椭圆1203622yxC：可知，6a，4c，由M为C上一点且在第一象限，故等腰三角形21FMF中8211FFMF，4212MFaMF,41

49、5828sin2221MFF,15sin212MFFMFyM，代入1203622yxC：可得3Mx.故M的坐标为)15,3(.16.学 生 到 工 厂 劳 动 实 践，利 用3D 打 印 技 术 制 作 模 型。如 图，该 模 型 为 长 方 体1111DCBAABCD挖去四棱锥EFGHO后所得的几何体，其中O为长方体的中心，HGFE,分别为所在棱的中点，6BCABcm，41AAcm,3D 打印机所用原料密度为3/9.0cmg，不考虑打印损耗，则作该模型所需原料的质量为g.答案：8.118解答：123221464EFGHS四边形2cm，13231231466V3cm.8.1181329.0Vm

50、g.三解答题17.为了解甲，乙两种离子在小鼠体内的残留程度，进行如下实验：将200 只小鼠随机分成BA,两组，每组100 只，其中A组小鼠给服甲离子溶液，B组小鼠给服乙离子溶液，每只小鼠给服的溶液体积相同，摩尔溶度相同。经过一段时间后用某种科学方法测算出残留在小鼠体内离子的百分比，根据实验数据分别得到如下直方图：文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO4Y5R3F8A6 ZH3A1A8Y4P5文档编码:CC4M10K2F6C4 HO