2012-2013学年第一学期期末试卷初二年级

初二数学第1页（共4页）初二数学第2页（共4页）

年级：________ 班级：________ 姓名：________ 准考证号密封线内不要答题 ------------------------------------------密---------------------------封---------------------------------------线------------------------------------------

武威第十五中学2012—2013学年第一学期期末试卷

初二年级·数学 (满分120分

时间100分钟)

命题人：李建军审题人：张洋生得分：

一、选择题:(每小题3分,共30分) 1．直线 y=3x —2不经过第（）象限.

A 、一

B 、二

C 、三

D 、四

2. 下列各曲线中不能表示y 是x 的函数是（）。

、 C 、 D 、 3. 下列各函数中，x 逐渐增大y 反而减少的函数是（）

A 、x y 31-=

B 、x y 31

= C 、14+=x y D 、14-=x y

4．计算正确的是（）.

A 、（x 2）3=x 5

B 、 x 4+x 4=x 8

C 、 x 2×x 4=x 6

D 、 x 6÷x 2=x 3 5. 下列各单项式中，与y x 4

2是同类项的为（）

A.42x

B.42xy

C.4yx

D.yz x 42 6．）.

A 、 2

B 、-2

C 、

D 7．下列各点，在一次函数1

y x =-的图像上的是（）.

A 、（0，－1）

B 、（－1，0）

C 、（1，2）

D 、（2，1）

8．下列各式由左边到右边的变形中，是分解因式的为（）.

A 、a (x + y) =a x + a y

B 、x 2－4x+4=x(x －4)+4

C 、10x 2－5x=5x(2x －1)

D 、x 2－16+3x=(x －4)(x+4)+3x 9．已知等腰三角形一边长为4，一边的长为6，则等腰三角形的周长为（）.

A 、14

B 、16

C 、10

D 、14或16 10. 下列函数中，是正比例函数的是（）.

A 、12y x =

B 、4

y x

= C 、53y x =- D 、2621y x x =-- 二、填空题:(每小题3分,共30分)

11. 一次函数34y x =+的图像与x 轴的交点A 为，与y 轴的交点 B 为。

12. 已知一个正比例函数的图象经过点（-2，4），则这个正比例函数的表达式是。

13. 若x 2＋ax ＋16是一个完全平方式，则a ＝ . 14. 使12-x 有意义的x 的范围是 ____；在函数2-=x y 中，自变量x 的取值范围是______。 15．分解因式：22x y -= ；分解因式：4x 2―9＝。

16. 若等腰三角形底边上的高是腰长的一半,则这个等腰三角形的底角是。

17．若函数y=2x+（m –1）是正比例函数，则m= 。

18．单项式与多项式相乘的方法：。

19. a －b ＋c=a －（） a －b －c=a －（） 20. 因为任何不等于0的数的0次幂都等于，所以0(1)π- ＝。

初二数学第3页（共4页）初二数学第4页（共4页）

三、解答题:(共60分)

21．画出下列函数的图象(每小题3分,共6分)

（1）. 画出函数y ＝3x 的图象（2）. 画出函数y=2x+1的图象

22.计算(每小题3分,共12分)

(1) 101×99 (2) （3a ＋4b ）2

(3) 30

8)14.3(16-+--π (4) （12xy 2

—8x 5

）÷4x

23.分解因式(每小题3分,共9分)

(1) x 2 ＋2x (2) 416a - （3） 33ab b a -

24．（7分）如图，已知直线3y kx =-经过点M ，求这个函数的解析式。

25．（8分）一个正方形的边长增加3cm ，它的面积就增加39cm 2,这个正方形的边长是多少？

26．（8分）已知函数y=(m+1)x+(m –1)，若这个函数的图象经过原点，求m 的值；

并画出函数的图像。

27. （10分）一次函数y=kx+b 图象经过点（1，3）和（4

①试求k 与b 的值；并写出这个函数的解析式。(3分) ②画出这个一次函数的图象。(3分)

③这个一次函数与y 轴交点坐标是（）。 (填空2④当x 时，y=0； ⑤当x 时，y ﹥0。(填空2

(27题)

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