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浙江省实验区初中学业水平考试调研及答案

2014-5-20 1:06:59下载本试卷

2006年浙江省基础教育课程改革实验区初中学业水平考试调研

数学参考答案及评分意见

一、选择题(本题有5个小题,每小题4分,共20分)

题号

1

2

3

4

5

答案

C

A

A

D

B

二、填空题(本题有3个小题,每小题5分,共15分)

6.

7. ①②(注:本题是开放题,答案不唯一,只要正确就给分).

8. (1)(5分) (2)[第(1)题不答,第(1)题正确3分]

三、解答题(本题有4小题,共40分)

9.(本题8分)

解:由,解得.································································· 3分

,解得.····························································· 3分

∴ 不等式组的解是.·························································· 2分

10.(本题8分)

解:由于A1A2A3 在直线上,且四边形A1 B1 C1 OA2 B2 C2C1A3 B3 C3C2均为正方形,

A1(0,1) , C1(1,0).······· 2分

A2(1,).·································· 2分

C2,0),A3).································································ 2分

C3,0),B3).····························································· 2分


11.(本题12分)

解:(1)∵菱形ABGHBCFGCDEF全等,

BC=CD=DE=6,AD=3AB=18.····· 2分

BGDE

∴ ∠ABP=∠D,∠APB=∠AED

∴ △ABP∽△ADE.······················· 2分

∴ .································ 2分

(2)图中的ΔEGP与ΔACQ全等.····························································· 2分

  证明:∵ 菱形ABGHBCFGCDEF全等,

AB=BC=EF=FG

AB+BC=EF+FG,即AC=EG.························································· 1分

 AD∥HE,∴ ∠QAC=∠PEG.························································ 1分

 BGCF,∴ ∠AQC=∠EPG.························································ 1分

∴ △EGP≌△ACQ.············································································ 1分

12.(本题12分)

解:(1)① y=.····································································· 2分

x=60(cm)时,y最大值=1800(cm2);················································ 2分

② 过点BBEADE,CFADF

AB=CD=xcm,梯形的面积为S cm2,则BC=EF=(120-2x)cm,

AE=DF=xBE=CF=x AD=120-x

S=·x(240-3x

x=40,S最大值=1200,···································································· 2分

S最大值y最大值·························································································· 2分

(2)方案正确一个得2分,共4分.

方案:①正八边形的一半,②正十边形的一半,③半圆等