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华师大七年级上期中模拟试卷

初一数学期中模拟试卷

一、填空（每空2分，共计32分）

1、计算：=?-3

x x ____________， )5)(1(-+x x =____________； 2、不等式组??

?<->-1301x x 的解集是____________，不等式组???≤≥3

x x 的解集是____________。

3、若关于x 的方程33-=+x m x 的根是负数，则m 的范围是____________；

4、已知方程组???-=++=+m

y x m

y x 13313的解满足10<+

____________； 5、如果不等式组??

x x 8

有解，则m 的取值范围是____________；

6、角α的补角为∠α的5倍，则∠α=___________度；

7、若平面内有三个点，则过这三个点中的任意两个点可

以确定的直线的条数为____________；

8、如图，已知∠AOB 是平角，∠BOD=∠AOD ，∠AOC=∠BOE ，

那么图中与∠COD 互余的角为____________； 9、已知A 、B 是数轴上的两个点，分别表示数3和－7，

则线段AB 的中点所表示的数是____________； 10、如图所示，在图中的∠1、∠2、∠3、∠4、∠5和

∠B 中，同位角是_____________________，内错角是

___________________；

11、钟面上1点50分时，时针与分针的夹角是____________度；

12、在直线l 上取A 、B 两点，使AB=12cm ，再在l 上取一点C ，使AC ：BC=3：1，M 、N 分

别是AB 、AC 的中点，则线段MN 的长度为_____________cm ；

二、选择题（每小题3分，共计18分）

13、已知a ＞b 则下列不等式中正确的是（）

C D

E O

（第 8 题）

D E

（第 10 题）

-104

（第 15 题）

(A) —3a ＞—3b ；

(B) 3

a ->-

； (C) 3—a ＞3—b ；

(D) a －3＞b －3；

14、计算()()3

a b b a -?-的结果是（）

(A) ()5

b a -； (B) ()6

b a --；

a b -； (D) ()6

b a -；

15、下图表示的不等式组的解集是（）

(A) 1＜x ＜4； (B) 1≤x ＜4；(C) 1＞x ＞4； (D) 1＜x ≤4； 16、如果142+=y x ，1

27+=x y

，则y x -的值为（）

(A) –5； (B) ＋4； (C) 5； (D) 0； 17、如图所示，下面的说法中正确的是（）

(A) OA 的方向是北偏东25°； (B) OB 的方向是北偏西30°；（C ）OC 的方向是西偏南75°；

(D) OD 的方向是西北方向；

18、下列说法中正确的有（）个

①经过直线上一点有且只有一条直线垂直于这条直线； ②从直线外一点到这条直线的垂线段叫做点到直线的距离； ③有一边互为反向延长线，且相等的两个角是对顶角； ④有一条公共边且互补的两个角是邻补角；（A ） 0； (B) 1； (C) 2； (D) 3；

三、解下列不等式（组）并把解集在数轴上表示出来（每题5分共10分）： 19、6

2131≤-++x x ；

（第 17 题）

20、??

??-+<-+<-)3)(4()3(3

212x x x x x ；

四、计算（每题5分共20分）

21、(

)

??-?-32

412xy y x ；

22、()

2002

2001

2000

6.021232-??

?? ?

-??

??；

23、()()()()234332323-+-+-x x x x ； 24、()

211

543++--+n n n

n x x x

x ；

五、画图题（4分）

25、在图中取AC 的中点D ，并连结BD ，再分别画出点A 、点C 到BD 的垂线段AE 、CF ，

用圆规比较AE 、CF 的大小：AE CF ；

六、化简求值（4分）：

26、)()()(y x z x z y z y x -+---，其中2

,1,21-===z y x ；

七、解答题：（5分＋7分）

27、试求适当的a 、b 值，使)52)(1132(2

-+++-x x bx ax 的积的展开式中不再含有

32,x x 的项；（5分）

28、某校组织学生到距离学校5千米以外的光明科技馆去参观，学生王红因事没能上学

校的包车，于是准备在学校门口改乘出租车去光明科技馆，出租车的收费标准如下：

（1）设出租车行驶的里程数为x （x ≥3）千米，则费用y= 。（2）王红同学身上仅有15.4元钱，他估计自已能按规定支付车费，故乘出租车赶

到了光明科技馆。那么学校距科技馆的路程在什么范围内。（7分）

初一数学答案

一、

1、5

x -， 542

--x x 2、2>x ， 3=x 3、3-

5、8

6、30

7、3条或1条

8、AOC ∠和BOE ∠ 9、2-

10、1∠与∠B ，∠B 与∠4，∠3与∠4，∠2与∠5， 11、?115 12、1.5或3 二、

13、D 14、C 15、B 16、C 17、B 18、B

三、 19、5

2≤x 20、53<

921y x -

22、9.0- 23、

四、25、五、26、六、27、?

?-102a 28、（1）)3(1810-+=x y

（2）大于5千米小于等于6千米，学校距科技馆的路程。

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