2019届山东省青岛市高三3月教学质量检测(一模)数学(文)试题(解析版).pdf
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1、第 1 页 共 21 页2019届山东省青岛市高三3 月教学质量检测一模数学文试题一、单项选择题1已知集合,集合,则ABCD【答案】B【解析】现根据题干得到集合B 的元素,再由集合交集的概念得到结果.【详解】集合,集合,则.故答案为:B.【点睛】这个题目考查了集合的交集的运算,属于简单题目.2已知为虚数单位,复数满足,则 在复平面内对应的点位于A第一象限B第二象限C第三象限D第四象限【答案】A【解析】根据复数的四则运算得到复数的化简结果,进而得到在复平面内所对应的点.【详解】复数满足,在复平面内对应的点位:,在第一象限.故答案为:A.【点睛】如果是复平面内表示复数的点,则当,时,点位于第一象限
2、;当,时,点位于第二象限;当,时,点位于第三象限;当,时,点位于第四象限 当时,点 位于实轴上方的半平面内;当时,点位于实轴下方的半平面内3“结绳计数”是远古时期人类智慧的结晶,即人们通过在绳子上打结来记录数量.如下图的是一位农民记录自己采摘果实的个数.在从右向左依次排列的不同绳子上打结,满四进一.根据图示可知,农民采摘的果实的个数是第 2 页 共 21 页A493 B 383 C183 D123【答案】C【解析】根据题意将四进制数转化为十进制数即可.【详解】根据题干知满四进一,则表示四进制数,将四进制数转化为十进制数,得到故答案为:C.【点睛】此题以数学文化为载体,考查了进位制等基础知识,注
3、意运用四进制转化为十进制数,考查运算能力,属于基础题4调查机构对某高科技行业进行调查统计,得到该行业从业者学历分布饼状图,从事该行业岗位分布条形图,如下图.给出以下三种说法:该高科技行业从业人员中学历为博士的占一半以上;该高科技行业中从事技术岗位的人数超过总人数的;该高科技行业中从事运营岗位的人员主要是本科生,其中正确的个数为A0 个B 1 个C2 个D3 个【答案】C【解析】利用饼状图、行业岗位分布条形图得到相应命题的真假.【详解】根据饼状图得到从事该行行业的人群中有百分之五十五的人是博士,故正确;从条形图中可得到从事技术岗位的占总的百分之三十九点六,故正确;而从条形图中看不出来从事各个岗位
4、的人的学历,故得到错误.文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文
5、档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1
6、F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q
7、6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N1
8、0文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2
9、A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F
10、5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10文档编码:CD1T3F2A1F4 HS6Y6M1F5Q6 ZQ2H7I9X1N10第 3 页 共 21 页故答案为:C.【点睛】此题考查命题真假的判断,考查饼状图、条形图的性质等基础知识,考查运算求解能力,是基础题5执行如下图的程序框图,则输出的值为A7 B 6 C5 D4【答案】C【解析】根据框图,依次进入循环,直到不
11、满足判断框内的条件为止.【详解】K=9,s=1,进入循环得,k=8,再进入循环,k=7,进入循环得到,不满足判断框的条件,故此时输出k 值,得到k=5.故答案为:C.【点睛】对于程序框图的读图问题,一般按照从左到右、从上到下的顺序,理清算法的输入、输出、条件结构、循环结构等基本单元,并注意各要素之间的流向是如何建立的特别地,当程序框图中含有循环结构时,需首先明确循环的判断条件是什么,以决定循环的次数6在中,则ABCD【答案】A 文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档
12、编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y
13、6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7
14、 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4
15、文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P
16、4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5
17、S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6
18、Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4第 4 页 共 21 页【解析】根据向量减法的三角形法则得到,再由向量的减法法则,以和为基底表示向量.【详解】根据向量的减法法则得到,又因为,故得到,代入上式得到.故答案为:A.【点睛】这个题目考查的是向量基本定理的应用;解决向量的小题常用方法有:数形结合,向量的三角形法则,平行四边形法则等;建系将向量坐标化;向量基底化,选基底时一般选择已知大小和方向的向量为基底。7已知数列为等比数列,满足;数列为等差数列,其前项和为,且,则A
19、13 B 48 C78 D156【答案】C【解析】由等比数列的性质可得a76,再由等差数列的求和公式和中项性质,可得所求和【详解】等比数列 an 中,a3a11a72,可得 a726a7,解得 a76,数列 bn是等差数列中b7a76,根据等差数列的前n 项和与等差中项的性质得到:S1313 b1+b13 13b713b7代入求得结果为:78.故选:C【点睛】此题考查等差数列和等比数列的通项公式、求和公式的运用,考查方程思想和运算能力,属于基础题8已知双曲线:,为坐标原点,过的右顶点且垂直于轴的文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D
20、6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3
21、G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2
22、W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW
23、2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3
24、J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10
25、J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:CW2D6T9P4Y6 HT3J3G6M5S7 ZJ10J2W5B6Q4文档编码:
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