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1、12B-SX-0000011 -1-2-学校：_ _年_班 姓名：_ 学号：_-密封线 -密封线 -绝密启用前 2017 年普通高等学校招生全国统一考试 文科数学 全国 II 卷（全卷共 10 页）(适用地区：甘肃、青海、内蒙古、黑龙江、吉林、辽宁、宁夏、新疆、陕西、重庆、西藏)注意事项：1 答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。2 回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑。如需改动，用橡皮擦干净后，再选涂其它答案标号，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，将本试卷和答案卡一并交回。一、选择题：本题共 12 小题，每
2、小题 5 分，共 60 分。在每个小题给出的四个选项中，只有一项是符合题目要求的。1.设集合 1,2,3A,2,3,4B，则AB（）A.1,2,3,4 B.1,2,3 C.2,3,4 D.1,3,4 2.12ii（）A.1i B.1 3i C.3i D.33i 3.函数 sin(2)3f xx的最小正周期为（）A.4 B.2 C.D.2 4.设非零向量,a b满足abab ，则（）A.ab B.ab C.ab D.ab 5.若1a，则双曲线2221xya的离心率的取值范围是（）A.(2,)B.(2,2)C.(1,2)D.(1,2)6.如图，网格纸上小正方形的边长为 1，粗实线画出的是某几何体的
3、三视图，该几何体由一平面将一圆柱截取一部分后所得，则该几何体的体积为（）A.90 B.63 C.42 D.36 7.设,x y满足约束条件2330233030 xyxyy ，则2zxy的最小值为（）A.-15 B.-9 C.1 D.9 8.函数 2ln(28)f xxx的单调增区间为（）A.,2 B.,1 C.1,D.4,9.甲、乙、丙、丁四位同学一起去向老师咨询成语竞赛的成绩.老师说：你们四人中有 2 为优秀，2 位良好，我现在给甲看乙、丙成绩，给乙看丙成绩，给丁看甲的成绩.看后甲对大家说：我还是不知道我的成绩.根据以上信息，则（）A.乙可以知道四人的成绩 B.丁可以知道四人的成绩 C.乙、
4、丁可以知道对方的成绩 D.乙、丁可以知道自己的成绩 12B-SX-0000011 -3-4-10.执行如图所示程序框图，如果输入的1a，则输出的S（）A.2 B.3 C.4 D.5 11.从分别写有 1,2,3,4,5的 5 张卡片中随机抽取 1 张，放回后再随机抽取 1张，则抽得的第一张卡片上的数大于第二张卡片上的数的概率为（）A.110 B.15 C.310 D.25 12.过抛物线2:4C yx的焦点F，且斜率为3的直线交C于点M（M在x 轴的上方），l为C的准线，点N在l上且MNl，则M到直线NF的距离为（）A.5 B.2 2 C.2 3 D.3 3 二、填空题：本题共 4 小题，每小
5、题 5 分，共 20 分。13.函数 2cossinf xxx的最大值为 .14.已知函数 f x是定义在R上的奇函数，当,0 x时 322f xxx，则 2f .15.长方体的长宽高分别为 3,2,1，其顶点都在球O的球面上，则球O的表面积为 .16.ABC的内角,A B C的对边分别为,a b c.若2 coscoscosbBaCcA，则B .三、解答题：共 70 分。解答应写出文字说明、解答过程或演算步骤。第 1721 题为必做题，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。17.已知等差数列na的前n项和为nS，等比数列nb的前n项
6、和为nT，11a ，11b，222ab.（1）若335ab，求nb的通项公式；（2）若321T，求3S.文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I
7、10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档
8、编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5
9、R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R1
10、0T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX
11、6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T
12、1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T7文档编码:CH5R3O3R10T4 HX6G9Q2T1A5 ZW7X3E7I10T712B-SX-0000011 -5-6-18.如图，四棱锥PAB
13、CD中，侧面PAD为等边三角形且垂直于底 面ABCD，12ABBCAD，90BADABC.（1）证明：直线/BC平面PAD；（2）若PCD的面积为2 7，求四棱锥PABCD的体积.19.湖水养殖场进行某水产品的新、旧网箱养殖方法的产量对比，收获时各随机抽取 100 个网箱，测量各网箱水产品的产量（单位：kg），其频率直方图如下：（1）记A表示事件“旧养殖法的箱产量低于 50kg”，估计A的概率；（2）填写下面联表，并根据列联表判断是否有 99%的把握认为箱产量与养殖方法有关；箱产量50kg 箱产量50kg 旧养殖法 新养殖法 （3）根据箱产量的频率分布直方图，对这两种养殖方法进行优劣比较.附：
14、2()P Kk 0.050 0.010 0.001 k 3.841 6.635 10.828 2n adbcKabcdacbd 20.设O为坐标原点，动点M在椭圆22:12xCy上，过M作x轴的垂线，文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z
15、3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR1
16、0T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5
17、Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P
18、7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:C
19、R10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 H
20、Z5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K112B-SX-0000011 -7-8-垂足为N，点P满足2NP
21、NM.（1）求点P的轨迹方程；（2）设点Q在直线3x 上，且1OP PQ.证明：过点P且垂直于OQ 的直线l过C的左焦点F.21.设函数 21xf xxe.（1）讨论 f x的单调性；（2）当0 x 时，若 1f xax，求a的取值范围.文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9
22、 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6
23、ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档
24、编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7
25、G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z
26、6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1
27、文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K112B-SX-000001
28、1 -9-10-（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，按所做的第一题计分。22.选修 4-4：坐标系与参数方程 在直角坐标系xOy中，以坐标原点为极点，x轴正半轴为极轴建立极坐标系，曲线1C的极坐标方程为cos4.（1）M为曲线1C上的动点，点P在线段OM上，且满足16OMOP，求点P的轨迹2C的直角坐标方程；（2）设点A的极坐标为2,3，点B在曲线2C上，求OAB面积的最大值.23.选修 4-5：不等式选讲 已知0a，0b，332ab.证明：（1）554abab；（2）2ab.文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3
29、T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10
30、T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z
31、4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7
32、Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR
33、10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ
34、5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5
35、P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K112B-SX-0000011 -11-12-2017 年普通高等学校招生全国统一考试（全国卷 2）文科数学 全国 II 卷 参考答案 一、选择题 1.A 2.B 3.C 4.A 5.C 6.B 7.A 8.D 9.D 10.B 11.D 12.C 二、填空题 13.5 14.12 15.14.16.3 三、解答题 17.（12 分）解：
36、设的公差为d，的公比为q，则11(1),nnnand bq.由222ab得 3dq.（1）由335ab 得 226dq 联立和解得3,0dq（舍去），1,2.dq 因此的通项公式12nnb（2）由131,21bT得2200qq.解得5,4qq 当5q 时，由得8d，则321S.当4q 时，由得1d ，则36S .18.(12 分)解：（1）在平面ABCD内，因为90BADABC，所以/BCAD.又BC 平面,PAD AD 平面PAD，故/BC平面PAD（2）取AD的中点M，连结,PM CM.由12ABBCAD及/BCAD，90ABC 得 四 边 形ABCM为 正 方 形，则CMAD.因为侧面P
37、AD为等边三角形且垂直于底面ABCD，平面PAD平面ABCDAD，所以,PMAD PM底面ABCD.因为CM 底面ABCD，所以PMCM.设BCx，则,2,3,2CMx CDx PMx PCPDx.取CD的中点N，连结PN，则PNCD，所以142PNx 文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10
38、T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z
39、4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7
40、Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR
41、10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ
42、5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5
43、P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K112B-S
44、X-0000011 -13-14-因为PCD的面积为2 7，所以11422 722xx，解得2x （舍去），2x.于是2,4,2 3ABBCADPM.所以四棱锥PABCD的体积12(24)2 34 332V 19.（12 分）解：（1）旧养殖法的箱产量低于50kg的频率为(0.0120.0140.0240.0340.040)50.62 因此，事件A的概率估计值为 0.62（2）根据箱产量的频率分布直方图得列联表 箱产量50kg 箱产量50kg 旧养殖法 62 38 新养殖法 34 66 222006634 3815.705100 100 96 104K （62）由于 15.705 6.635,
45、故有 99%的把握认为箱产量与养殖方法有关.（3）箱产量的频率分布直方图表明：新养殖法的箱产量平均值(或中位数)在50kg 到 55kg 之间，旧养殖法的箱产量平均值（或中位数）在 45kg 到 50kg 之间，且新养殖法的箱产量分布集中程度较旧养殖法的箱产量分布集中程度高，因此，可以认为新养殖法的箱产量较高且稳定，从而新养殖法优于旧养殖法.20.（12 分）解：（1）设(,)P x y，00(,)M xy，则000(,0),(,),(0,)N xNPxx y NMy 由2NPNM得 002,2xx yy 因为00(,)M xy在C上，所以22122xy 因此点P的轨迹方程为222xy（2）由
46、题意知(1,0)F 设(3,),(,)QtP m n，则(3,),(1,),33OQtPFmn OQ PFmtn，(,),(3,)OPm nPQm tn 由1OQ PQ 得2231mmtnn 又由（1）知222mn，故 330mtn 所以0OQ PF，即OQPF.又过点P存在唯一直线垂直于OQ，所以过点P且垂直于OQ的直线l过C的左焦点F.文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:C
47、R10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 H
48、Z5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX
49、5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码
50、:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9 HZ5Z4M6F2Z6 ZX5P7Z3T9K1文档编码:CR10T1R3P7G9