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1、北京市朝阳区高三年级第一次综合练习数学学科测试（理工类）20183（考试时间120 分钟满分 150 分）本试卷分为选择题（共40 分）和非选择题（共110 分）两部分第一部分（选择题共 40 分）一、选择题：本大题共8 小题，每小题5 分，共 40 分在每小题给出的四个选项中，选出符合题目要求的一项1已知全集为实数集R，集合230Ax xx，21xBx，则RAB()IeA(03,)，U B(0,1 C3，D1)，2复数z满足(1+i)iz，则在复平面内复数z所对应的点位于 A第一象限 B第二象限 C第三象限 D第四象限3直线l的参数方程为=3,1+3xtyt?=?（t为参数），则l的倾斜角大
2、小为 A6 B3 C3 D64已知a b,为非零向量，则“0a b”是“a与b夹角为锐角”的 A充分而不必要条件B必要而不充分条件 C充分必要条件D既不充分也不必要条件5某单位安排甲、乙、丙、丁4 名工作人员从周一到周五值班，每天有且只有1 人值班，每人至少安排一天且甲连续两天值班，则不同的安排方法种数为 A 18 B24 C48 D966某四棱锥的三视图如图所示，则该四棱锥的体积等于 A 34 B23俯视图正视图侧视图1111 C 12 D137庙会是我国古老的传统民俗文化活动，又称“庙市”或“节场”庙会大多在春节、元宵节等节日举行庙会上有丰富多彩的文化娱乐活动，如“砸金蛋”（游玩者每次砸碎
3、一颗金蛋，如果有奖品，则“中奖”）今年春节期间，某校甲、乙、丙、丁四位同学相约来到某庙会，每人均获得砸一颗金蛋的机会游戏开始前，甲、乙、丙、丁四位同学对游戏中奖结果进行了预测，预测结果如下：甲说：“我或乙能中奖”；乙说：“丁能中奖”；丙说：“我或乙能中奖”；丁说：“甲不能中奖”游戏结束后，这四位同学中只有一位同学中奖，且只有一位同学的预测结果是正确的，则中奖的同学是A甲 B乙 C丙 D丁8在平面直角坐标系xOy中，已知点(3,0)A,(1,2)B，动点P满足OPOAOBuuu ruu u ruu u r,其中,0,1,1,2，则所有点P构成的图形面积为A1 B2 C3 D2 3第二部分（非选择
4、题共 110 分）二、填空题：本大题共6 小题，每小题5 分，共 30 分把答案填在答题卡上9执行如图所示的程序框图，若输入5m，则输出k的值为 _10 若 三 个 点(2,1),(2,3),(2,1)中 恰 有 两 个 点 在 双 曲 线222:1(0)xCyaa上，则双曲线C的渐近线方程为_m50输出k开始输 入k=0m=2m1是k=k+1否文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编
5、码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2
6、 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10
7、 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文
8、档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5
9、A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O
10、10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M
11、7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M711 函 数()sin()f xAx（0,0,2A）的 部 分 图 象 如 图 所 示，则=；函数()f x在区间,3上的零点为12已知点(2,0),(0,2)AB，若点M是圆22220 xyxy上的动点，则ABM面积的最小值为13等比数列na满足如下条件：10a；数列na的前n项和1nS试写出满足上述所有条件的一个数列的通项公式14已知Ra，函数211(+1)0()sin2,0.22xxxaxxf xx，当0 x时，函数()f x的最大值是；若函数()fx的图象上有且只有两对点关于y轴对称，则a的取值范围是三
12、、解答题：本大题共6 小题，共80 分解答应写出文字说明，演算步骤或证明过程15 (本小题满分13 分)在ABC中，已知5sin5A，2 cosbaA（）若5ac，求ABC的面积；（）若B为锐角，求sin C的值16(本小题满分14 分)如图 1，在矩形ABCD中，2AB，4BC，E为AD的中点，O为BE中点将ABE沿BE折起到A BE，使得平面A BE平面BCDE（如图 2）（）求证：A OCD；（）求直线A C与平面A DE所成角的正弦值；（）在线段A C上是否存在点P，使得/OP平面A DE?若存在，求出A PA C的值；若不存在，请说明理由图 1EABCDOA图 2CBDEO文档编码:
13、CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 H
14、Q7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 Z
15、Q7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编
16、码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2
17、 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10
18、 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文
19、档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M717(本小题满分13 分)某地区高考实行新方案，规定：语文、数学和英语是考生的必考科目，考生还须从物理、化学、生物、历史、地理和政治六个科目中选取三个科目作为选考科目若一个学生从六个科目中选出了三个科目作为选考科目，则称该学生的选考方案确定；否则，称该学生选考方案待确定例如
20、，学生甲选择“物理、化学和生物”三个选考科目，则学生甲的选考方案确定，“物理、化学和生物”为其选考方案某学校为了解高一年级420 名学生选考科目的意向，随机选取30 名学生进行了一次调查，统计选考科目人数如下表：性别选考方案确定情况物理化学生物历史地理政治男生选考方案确定的有8 人884211选考方案待确定的有6 人430100女生选考方案确定的有10 人896331选考方案待确定的有6 人541001（）估计该学校高一年级选考方案确定的学生中选考生物的学生有多少人？（）假设男生、女生选择选考科目是相互独立的从选考方案确定的8 位男生中随机选出 1 人，从选考方案确定的10 位女生中随机选出1
21、 人，试求该男生和该女生的选考方案中都含有历史学科的概率；（）从选考方案确定的8 名男生中随机选出2 名，设随机变量221,2,名男生选考方案相同名男生选考方案不同，求的分布列及数学期望E18 (本小题满分13 分)已知函数ln1()xf xaxx（）当2a时，（）求曲线()yfx在点(1,(1)f处的切线方程；文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7
22、Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7
23、E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:
24、CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 H
25、Q7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 Z
26、Q7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编
27、码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2
28、 HQ7Z4U9Z2O10 ZQ7E5U8V1M7（）求函数的单调区间；（）若12a，求证：119 (本小题满分14 分)已知椭圆2222:1(0)xyCabab的离心率为22，且过点2(1,)2（）求椭圆C 的方程；（）过椭圆 C 的左焦点的直线1l 与椭圆 C 交于,A B 两点，直线2l 过坐标原点且与直线1l 的斜率互为相反数若直线2l 与椭圆交于,E F 两点且均不与点,A B 重合，设直线AE与x 轴所成的锐角为1，直线BF与 x 轴所成的锐角为2，判断1与2大小关系并加以证明20 (本小题满分13 分)已知集合128,Xx xxL是集合2001,2002,2003,2016,20
29、17SL的一个含有 8 个元素的子集（）当2001,2002,2005,2007,2011,2013,2016,2017X时，设,(1,8)ijx xXi j，（i）写出方程2ijxx的解(,)ijx x；（ii）若方程(0)ijxxk k至少有三组不同的解，写出k的所有可能取值；（）证明：对任意一个X，存在正整数k，使得方程(1,8)ijxxki j至少有三组不同的解文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ
30、7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码
31、:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2
32、HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10
33、ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档
34、编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A
35、2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O1
36、0 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7北京市朝阳区高三年级第一次综合练习数学学科测试（理工类）答案20183一、选择题：（本题满分40 分）题号12345678答案CACBBDAC二、填空题：（本题满分30 分）题号91011121314答案422yx212212nna（答案不唯一）121(1,)2三、解答题：（本题满分80 分）15 (本小题满分13 分)解：（）由2 cosbaA，得cos0A，因为5sin5A，所以2 5cos5A.因为2 cosbaA，所以52 54sin2sincos2555BAA故ABC的面积1s
37、in22SacB.7 分文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文
38、档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5
39、A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O
40、10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M
41、7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7
42、X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z
43、2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7（）因为4sin5B，且B为锐角，所以3cos5B.所以11 5sinsin()sincoscossin25CABABAB.13 分16(本小题满分14 分)证明：（）由已知2ABAE，因为O为BE中点，所以A OBE因为平面A BE平面B
44、CDE，且平面A BE I平面BCDEBE，A O平面A BE，所以AO平面BCDE又因为CD平面BCDE，所以A OCD.5 分（）设F为线段BC上靠近B点的四等分点，G为CD中点由已知易得OFOG由（）可知，A O平面BCDE，所以A OOF，A OOG.以O为原点，,OF OG OA所在直线分别为,x y z轴建立空间直角坐标系（如图）因为2A B，4BC，所以(0 02),(11 0),(13 0),(1 3 0),(11 0)ABCDE，,，设平面A DE的一个法向量为111(,)x yzm，因为(132),(02 0)A DDE，uu uu ruu u r，所以0,0,A DDEu
45、uuu ruu u rmm即1111320,20.xyzy取11z，得(2,0,1)m而A Cuuu u r1,3,2.所以直线A C与平面A DE所成角的正弦值2 22sin.32 33.10 分zBxyCDAEOFG文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2
46、O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1
47、M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P
48、7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9
49、Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8
50、V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U7P7X5A2 HQ7Z4U9Z2O10 ZQ7E5U8V1M7文档编码:CS3U