(完整word版)2019届普陀区高三二模数学Word版(附解析).pdf

上海市普陀区2019 届高三二模数学试卷2019.4 一.填空题（本大题共12 题，1-6 每题 4 分，7-12 每题 5 分，共 54 分）1.设集合1,2,3A，2|20Bx xx，则ABI2.双曲线22:1169xyC的顶点到其渐近线的距离为3.函数122log(1)yxx的定义域为4.设直线l经过曲线12cos:12sinxCy（为参数，02）的中心，且其方向向量(1,1)du r，则直线l的方程为5.若复数1iz（i为虚数单位）是方程20 xcxd（c、d均为实数）的一个根，则|i|cd6.若圆柱的主视图是半径为1 的圆，且左视图的面积为6，则该圆柱的体积为7.设x、y均为非负实数，且满足526xyxy，则68xy的最大值为8.甲约乙下中国象棋，若甲获胜的概率为0.6，甲不输的概率为0.9，则甲、乙和棋的概率为9.设实数a、b、c满足1a，1b，1c，且10abc，lglglg10abcabc，则abc10.在四棱锥PABCD中，设向量(4,2,3)ABuuu r，(4,1,0)ADuuur，(6,2,8)APuuu r，则顶点P到底面ABCD的距离为11.九章算术中称四个面均为直角三角形的四面体为鳖臑，如图，若四面体ABCD为鳖臑，且AB平面BCD，ABBCCD，则AD与平面ABC所成角大小为（结果用反三角函数值表示）12.设函数()f x是定义在R上的偶函数，记2()()g xf xx，且函数()g x在区间0,)上是增函数，则不等式2(2)(2)4f xfxx的解集为精品资料-欢迎下载-欢迎下载 名师归纳-第 1 页，共 5 页 -二.选择题（本大题共4 题，每题5 分，共 20 分）13.若椭圆的焦点在x轴上，焦距为2 6，且经过点(3,2)，则该椭圆的标准方程为（）A.22193yxB.2213612xyC.2213612yxD.22193xy14.在ABC中，设三个内角A、B、C的对边依次为a、b、c，则“2,33C”是“222abcab”成立的（）A.充分非必要条件B.必要非充分条件C.充要条件D.既非充分又非必要条件15.某公司对 4 月份员工的奖金情况统计如下：奖金（单位：元）8000 5000 4000 2000 1000 800 700 600 500 员工（单位：人）1 2 4 6 12 8 20 5 2 根据上表中的数据，可得该公司4 月份员工的奖金：中位数为 800 元；平均数为1373 元；众数为 700 元，其中判断正确的个数为（）A.0 B.1 C.2 D.3 16.设函数()sin()6f xx，若对于任意5,62，在区间0,m上总存在唯一确定的，使得()()0ff，则m的最小值为（）A.6B.2C.76D.三.解答题（本大题共5 题，共 14+14+14+16+18=76 分）17.如图所示，圆锥的顶点为P，底面中心为O，母线4PB，底面半径OA与OB互相垂直，且2OB.（1）求圆锥的表面积；（2）求二面角PABO的大小（结果用反三角函数值表示）.精品资料-欢迎下载-欢迎下载 名师归纳-第 2 页，共 5 页 -文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 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4，零点6x19.（1）2400k，180052xyx；（2）55x时，min57.5y20.（1）1322nan；（2）10；（3）略21.（1）205；（2）略；（3）(2,0)p精品资料-欢迎下载-欢迎下载 名师归纳-第 5 页，共 5 页 -文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 ZZ8M1O5U3C4文档编码:CO7H9G7R8O4 HB4X3G7Y3S6 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