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历下区2013九年级期中测试题答案

历下区2013九年级期中测试题答案
历下区2013九年级期中测试题答案

历下2013历下初三数学期中答案

一、选择

1.B

2.C

3.C

4.B

5.C

6.A

7.D

8.B

9.B 10.B 11.D 12.A 13.D 14.B 15.B 二、填空

16. 2 17. 2.4 18.18米 19.x

y 2

=

20. 21.)2

1,4(

三、解答

22.(1)8,221-=-=x x (2)2

3

21==y y (3)0,321==x x (4)3

3

3,33321-=

+=

x x 23.解:(1)设2012年至2014年该单位投入环保经费的年平均增长率为x ,

根据题意,得()2

4001576x += …………………………………………………3分 解得120.2 2.2x x ==-,(不合题意,舍去)………………………………….5分 答:2012年至2014年该单位投入环保经费的年平均增长率为20%. ……..….6分 (2)∵()576120%691.2680+=>

∴该目标能实现. ……………………………………………………………….8分 24.解:(1)飞飞获赠A 型号钢笔的概率是1

4

.------28分

-------6分

总共有16种结果,每种结果出现的可能性相同,其中型号相同的结果有4种,---7分

∴型号相同的概率是1

4

. ---------8分 25.解:(1)∵双曲线过A (3,),∴k=20.-------1分

把B (﹣5,a )代入

,得

a=﹣4.

∴点B 的坐标是(﹣5,﹣4).-------2分

设直线AB的解析式为y=mx+n,

将A(3,)、B(﹣5,﹣4)代入,得

解得:,

∴直线AB的解析式为:;-------3分

或0<x<3时-------5分

(2)x<5

(3)四边形CBED是菱形.-------6分

点D的坐标是(3,0),点C的坐标是(﹣2,0).∵BE∥x轴,

∴点E的坐标是(0,﹣4).

而CD=5,BE=5,且BE∥CD.

∴四边形CBED是平行四边形.-------7分

在Rt△OED中,ED2=OE2+OD2,

∴ED====5,

∴ED=CD.

CE=AB=AE

ADE=

AC=AC=

27.(1)x

y 8

=, F(4,2) -------2分

(2) O E ⊥CF -------3分

△OC E ∽△CBF-------4分 O E ⊥CF -------5分

(3)过A 点作AN ⊥OM,交OM 于点N , 则△OMC ≌△ANO-------7分 ∴CM=ON, ∵

21=OM CM , ∴2

1

=OM ON ,即OM=MN -------8分 ∴AM=AO -------9分

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