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1、广东省东莞市2019 届高三第二次调研考试文科数学试题一、选择题（本大题共12 小题，共 60.0 分）1.已知集合，则（）A.B.C.D.【答案】A【解析】【分析】利用一元二次不等式的解法求得集合A，再利用交集的定义和不等式的性质求解.【详解】集合，.故选 A.【点睛】本题主要考查交集运算和一元二次不等式的解法，解题时要认真审题，注意不等式性质的合理运用.2.已知复数，其中 i 为虚数单位，则A.B.C.D.【答案】C【解析】【分析】直接利用复数的除法运算求得复数z，再根据模的定义即可求得复数的模。【详解】解：即故选：C【点睛】本题考查复数模的求法，是基础的计算题3.有 24 名投资者想到某
2、地投资，他们年龄的茎叶图如图所示，先将他们的年龄从小到大编号为号，再用系统抽样方法抽出6 名投资者，邀请他们到实地进行考察其中年龄不超过55 岁的人数为精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 1 页，共 18 页A.1B.2C.3D.4【答案】B【解析】【分析】求出样本间隔，结合茎叶图求出年龄不超过55 岁的有 8 人，然后进行计算即可【详解】解：样本间隔为，年龄不超过55 岁的有 8 人，则需要抽取人，故选：B【点睛】本题主要考查茎叶图以及系统抽样的应用，求出样本间隔是解决本题的关键4.在矩形中，以，为焦点的双曲线经过，两点，则此双曲线的离心率为（）A.B.C.D.
3、【答案】D【解析】【分析】利用双曲线的定义及性质，直接列出关系式求解双曲线的离心率即可【详解】由题可知，所以，即，所以此双曲线的离心率为.故选 D.【点睛】本题考查双曲线的定义及性质的应用，考查了离心率的求法，考查计算能力5.圆锥的轴截面是边长为的正三角形，则圆锥的表面积为（）A.B.C.D.【答案】C 精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 2 页，共 18 页文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1
4、U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码
5、:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1
6、U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码
7、:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1
8、U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码
9、:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1
10、U3Z4 ZE6E2H4A9V5【解析】【分析】根据圆锥轴截面的定义结合正三角形的性质，可得圆锥的底面半径、母线长，结合圆锥表面积公式，即可求出答案.【详解】圆锥的轴截面是边长为的正三角形，圆锥的底面半径，母线长；表面积故选 C.【点睛】本题给出圆锥轴截面的形状，求圆锥的表面积，着重考查了等边三角形的性质和圆锥轴截面等知识，属于基础题.6.设函数，若为奇函数，则曲线在点处的切线方程为A.B.C.D.【答案】C【解析】【分析】利用函数的奇偶性求出a，求出函数的导数，求出切线的斜率后求解切线方程【详解】解：函数，若为奇函数，可得，所以函数，可得，曲线在点处的切线的斜率为：，曲线在点处的切线方程为：
11、故选：C【点睛】本题考查函数的奇偶性以及函数的切线方程的求法，考查计算能力7.如图，在中，是边的中线，是边的中点，若,则=（）精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 3 页，共 18 页文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2
12、H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2
13、Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2
14、H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2
15、Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2
16、H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2
17、Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5A.B.C.D.【答案】B【解析】分析：利用向量的共线定理、平行四边形法则即可得出详解：在中，是边上的中线是边的中点故选 B.点睛：本题考查了平面向
18、量的基本定理的应用.在解答此类问题时，熟练掌握向量的共线定理、平行四边形法则是解题的关键8.将函数的图象向右平移个单位后得到函数，则具有性质A.周期为，最大值为1，图象关于直线对称，为奇函数B.周期为，最大值为1，图象关于点对称，为奇函数C.周期为，最大值为1，在上单调递减，为奇函数D.周期为，最大值为1，在上单调递增，为奇函数【答案】D【解析】【分析】精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 4 页，共 18 页文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V
19、5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ
20、9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V
21、5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ
22、9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V
23、5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ
24、9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V
25、5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5直接利用三角函数关系式的平移变换的应用求出结果【详解】解：函数的图象向右平移个单位后得到，函数，则函数的最小正周期为，函数的最大值为1，函数在上单调递增，并且为奇函数故选：D【点睛】本题考查的知识要点：三角函数关系式的恒等变换，函数的图象的平移变换和伸缩变换的应用，属于基础题9.已知一个四棱锥的正主 视图和俯视图如图所示，其中，则该四棱锥的高的最大值为A.B.C.4D.2【答案】A【解析】【分析】根据题意画出图形，结合图形得出平面平面ABCD，点P到AD的距离x最大时，四棱锥的体积最大，由此求出 x 的最大值以及
26、四棱锥的高的最大值【详解】解：如图所示，由题意知，平面平面 ABCD，设点 P到 AD 的距离为x，当 x 最大时，四棱锥的高最大，因为，所以点 P的轨迹为一个椭圆，精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 5 页，共 18 页文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2
27、Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2
28、H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2
29、Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2
30、H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2
31、Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2
32、H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5由椭圆的性质得，当时，x 取得最大值，即该四棱锥的高的最大值为故选：A【点睛】本题考查了空间几何体三视图的应
33、用问题，也考查了数形结合思想与转化思想的应用问题，是基础题10.若的面积为，且为钝角，则的度数以及的取值范围为A.，B.，C.，D.，【答案】C【解析】【分析】由已知结合余弦定理及三角形的面积公式可得，可求，进而可求 B，然后由正弦定理可，展开后利用正切函数的性质可求范围【详解】解：由余弦定理可得，由正弦定理可得，故选：C【点睛】本题主要考查了正弦定理，余弦定理，三角形的面积公式的综合应用，属于中档试题精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 6 页，共 18 页文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2
34、Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2
35、H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2
36、Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2
37、H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2
38、Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2
39、H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2
40、Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V511.在正方体中，E 是侧面内的动点，且平面，则直线与直线 AB 所成角的正弦值的最小值是A.B.C.D.【答案】B【解析】【分析】以 D 为原点，DA 为 x 轴，DC 为 y 轴，为 z 轴，建立空间直角坐标系利用向量法求出直线与直线 AB 所成角的正弦值的最小值【详解】解：以D 为原点，DA 为 x 轴，DC 为 y 轴，为 z 轴，建立空间直角坐标系，设正方体中棱长为1，设0，1，1，精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 7 页
41、，共 18 页文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G
42、2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E
43、2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G
44、2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E
45、2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G
46、2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E
47、2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V50，1，1，1，设平面的法向量y，则，取，得，平面，解得，设直线与直线 AB 所成角为，1，直线与直线 AB 所成角的正弦值的最小值是故选：B【点睛】本题考查线线角的正弦值的最小值的求法，空间中线线、线面、面面间的位置关系等基础知识，函数与方程思想，是中档题12.设函数，则不等式的解集为（）A.B.C.D.【答案】D【解析】【分析】由题意可知，
48、为偶函数，再求得在上连续且单调递增，由，转化得，解不等式即可求出解集.【详解】为偶函数，精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 8 页，共 18 页文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G
49、2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E
50、2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G2Y4 HQ9X1U1U3Z4 ZE6E2H4A9V5文档编码:CX8F4C3G