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北大附中河南分校2016-2017学年高一数学上册第一次月考试题

北大附中河南分校2016-2017学年高一数学上册第一次月考试题
北大附中河南分校2016-2017学年高一数学上册第一次月考试题

宇华教育集团2016-2017学年上学期第一次月考

高一年级数学试题卷

(时间: 120分钟 总分: 150分)

一、选择题(在每小题给出的四个选项中,只有一项答案是正确的,请将正确答案填写在

答题卷相应的位置,每小题5分,共60分。)

1. 下列所给对象能构成集合的是( )

A.某校高一(5)班数学成绩非常突出的男生能组成一个集合

B.《数学1(必修)》课本中所有的难题能组成一个集合

C.性格开朗的女生可以组成一个集合

D.圆心为定点,半径为1的圆内的点能组成一个集合

2. 集合{}3<∈=+x N x A 的另一种表示法是( )

A. {}2,1

B. {}3,2,1

C. {}2,1,0

D. {}3,2,1,0

3. 集合{}

33≤≤-∈=+x N x M ,则下列说法正确的是( ) A. M ∈3 B. M ?1 C. M 是空集 D. 该集合是有限集

4. 已知集合??????

∈+==Z k k x x M ,412,?

?????∈+==Z k k x x N ,214,若M x ∈0,则0x 与N 的关系是( )

A. N x ?0

B. N x ∈0

C. N x ∈0或N x ?0

D.不能确定

5. 下列表示①{}?=0,②{}{}6,4,22?,③{}{}

023|22=+-∈x x x ,④{}00∈中,错误的是( )

A .①②

B .②④

C .①③

D .②③

6. 设{}{}1,A x x B x x a =>=>,且A B ?,则实数a 的取值范围为( )

A. 1a ≤

B. 1a <

C. 1a ≥

D. 1a >

7. 若2{1,2}{|0}x x bx c =++=,则( )

A. 2,3b c =-=

B. 2,3b c ==-

C. 3,2b c =-=

D. 3,2b c ==-

8. 已知集合M =()2|,x y x y +={}

,N =()4{,|}x y x y -=,那么集合M ∩N 为( ) A. x=3, y=-1 B. (3,-1) C.{3,-1}

D.{(3,-1)} 9. 设{}0,1,2,3,4,5,{1,3,6,9},{3,7,8}A B C ===,则()A

B C 等于( ) A. {1,3,6,7,8} B. {1,3,7,8} C. {3,7,8} D. {0,1,2,6}

10. 已知集合{}0>=x x U ,{}03U C A x x =<<,那么集合A =( ) A. {}3x x > B. {}3x x ≥ C. {}03x x x <>或 D. {}

03x x x ≤≥或

11. 设{}{}6,1,A x Z x B x Z x =∈≤=∈>那么A B 等于( ) A . {}16x x <≤ B .{1,2,3,4,5,6} C .{2,3,4,5,6}

D .{2,3,4,5} 12. 集合{}

26,y N y x x N ∈=-+∈ 的真子集的个数为( ) A. 6 B. 7 C. 8 D. 9

二、填空题(本大题共4小题,每题5分,共20分,请将正确答案填写在答题卷相应位置)

13.设集合{}A =四边形,{}B =平行四边形,{}C =矩形,{}D =正方形,则它们之间的关系是 .

14.设集合{}430A x x =->, {}60B x x =-<,则A B = .

15.设全集8{|}U x x x <∈N =,且, ()()()1340{|(7)}x x x x A x ---=-=,则U C A =____________.

16.某中学举办多学科实践活动,高二1班共有50名同学,其中30名参加了数学,26名参加了物理,15名同时参加了数学和物理,问这个班既没参加数学也没参加物理的有 人.

三、解答题(本大题共6小题,共70分,解答题应写出文字说明、证明过程或演算步骤,请将解答过程写在答题卷相应的位置)

17(10分).用适当的方法表示下列集合:

1) 不小于1 且不大于17的质数组成的集合A ;

2) 所有奇数组成的集合B ;

3) 平面直角坐标系中,抛物线2y x =上的点组成的集合C ; 4) {}

(,)5,,D x y x y x N y N ++=+=∈∈;

5) 所有被4除余1的整数组成的集合E ;

18(12分).设集合{}2420A x kx x =-+=,若集合A 中只有一个元素,试求实数k 的值,

并用列举法表示集合A. 19(12分).设U R =,{|34}A x x =-<≤,{|08}B x x =≤<.求A B ,A B ,U C A ,U C B ,()U C A B ,()U C A B ,()()U U C A C B ,()()U U C A C B .

20(12分).已知集合{}1323A m =+,,,集合{}

23B m =,,若A B B =,求实数m 的值. 21(12分).若关于x 的方程2370x px +-=的解集为A ,方程2370x x q -+=的解集为B , 且13A B ??=-????,求A B . 22(12分). 已知集合{}{}

-25,121,.A x x B x m x m B A =<≤=-+≤≤-?且求实数m 的取值范围.

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2017-2018高一数学上学期期末考试试题及 答案 https://www.docsj.com/doc/2b4786334.html,work Information Technology Company.2020YEAR

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