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1班 2017云南省三校生10月月考数学试卷

1班 2017云南省三校生10月月考数学试卷
1班 2017云南省三校生10月月考数学试卷

昆明三校生2017年秋季学期数学十月测试题

(一)

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答卷注意事项:

1.学生必须用碳素墨水笔直接在试题卷上答题;

2.答卷前请将密封线内的项目填写清楚;

3.字迹要清楚、工整,不宜过大,以防试卷不够使用;

4.本卷共35大题,总分为100分,考试时间120分钟;

一、选择题(每题2分,共计40分,答案填入后面的表格中)

1.给出下列表述:①鲜艳的颜色;②中国古代四大发明;③比较贵的手机;④英文字母的全体.以上能构成集合的是( )

A.①②

B.②④

C.①②④

D.①③④

2.下列方程中,是一元一次方程的是( ) A.

211=-x B.012=-x C.32=-y x D.2

1

3=-x 3、已知a a =-,那么a 是( )

A 、正数

B 、负数

C 、非正数

D 、

4、若0≠a ,则下列运算下确的是( )

A 、824a a a =?

B 、422a a a =+

C 、6249)3(a a =-

D 、224)()(a a a =-÷-

5、给出下列关系:①2

1

∈R;②2?Q;③|-3|?N *

;④0∈N.其中正确的个数为( )

A.1

B.2

C.3

D.4

6、集合{},,,.a b c d e 有( )个真子集

A 、5

B 、30

C 、31

D 、32

7、如果23=y x ,则=+x

y x ( ) A 、

21 B 、23 C 、25 D 、5

2 8、0与{}0之间的关系正确的是( )

A 、{}00?

B 、{}00=

C 、{}00∈

D 、{}00?

9、下列二次根式中与a 不是同类二次根式的是( ) A 、a 9 B 、

3a C 、4

a

D 、a 2 10、

下列代数式中,

2

2

1,(),2,,52

b ax x y a +---,属于单项式的个数是(

A.1

B.2

C.3

D.4

11、方程

2671

01

x x x -+=-的解是( ) A.116x =

或 B.16

x = C.1x = D.1

16x =-或-

12、设12,x x 为方程2420x x +-=的两根,则

12

11

x x +=( ) A.1 B.2

C. D.4 13

、将式子 ) A

B 、

C

D 、

14、下列约分中正确的是( )

A 、623x x x =

B 、x m m

x n n +=+ C 、

1x y x y -=--+ D 、22

x y x y x y

+=++

15、设a b c ===a,b,c 的大小关系是( )

A 、a

B 、a>b>c

C 、c>a>b

D 、a

A 、15

B 、15-

C 、1625

D 、15

±

17=( )

A 、

B

C 、

D 18、方程222220x bx b ++-=有两个相等实根,则b =( )

A.1144-或

B.44-或

C.22-或

D.1122

-或

19、已知a<-b ,且ab>0,化简a b a b ab +-+-等于( )

A 、-ab

B 、2a+2b+ab

C 、-2a-2b+ab

D 、-2a+ab 20、设集合M={y|y=x 2

+1,x ∈R },N={y|y=-x 2

+1,x ∈R },则M ∩N 是( )

A.{0,1}

B.{(0,1)}

C.{1}

D.以上都不对

二、填空题(每小题2分,共计20分) 21、36的算术平方根是 。

22、=-+-02)3(3 。

23、∣x +1∣+2010(1)y -=0,则2011()xy =

24、已知:x=2,y=-1是方程组1

4ax by bx ay +=??+=?的解,则a= b=

25、23-)3x x x =-“”是“(”的 条件.

26、在实数范围内分解因式642441x x x +--=

27、已知332

log 2

1x =,则x =

.

28、若2

2

16,m

m

-=则3 ;

29、已知2x

=5y

=10,则1x +1

y =________.

30、已知集合U={1,2,3,4,5,6,7},A={2,4,5,7},B={3,4,

5},则C A U ∪C B

U =________.

三、计算题(共计40分,写出必要演算步骤,不然不得分) 31、(8分)计算计算:4567log 5log 6log 7log 8???的值.

32、(8分)含有三个实数的集合可表示为{a,a

b

,1}={a 2

,a,0},则a

2 006

+b 2 005值

33、(8分)先化简,再求值:(2x +1)(2x -1)-4x (x -1)+(x -2)2,其中x = 5.

34、(8分)已知集合A={x|2

---=,k为实数}

(4)210

k x x

(1)若集合A有两个元素,求k的取值范围;

(2)在(1)的条件下,自取一个整数k的值,再求此时集合A.

35、(8分)设集合A={x|x2-3x+2=0},B={x|x2+2(a+1)x+(a2-5)=0}.

(1)若A∩B={2},求实数a的值;

(2)若A∪B=A,求实数a的取值范围

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