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
由
，解得
．····························································· 3分
∴
不等式组的解是
．·························································· 2分
10．（本题8分）
解：由于A1，A2 ，A3 在直线
上，且四边形A1 B1
C1 O，A2 B2 C2C1， A3 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ABGH、BCFG、CDEF全等，
∴ BC=CD=DE=6，AD=3AB=18．····· 2分
∵ BG∥DE，
∴ ∠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ABGH、BCFG、CDEF全等，
∴ AB=BC=EF=FG．
∴ AB+BC=EF+FG，即AC=EG．························································· 1分
AD∥HE，∴ ∠QAC=∠PEG．························································ 1分
BG∥CF，∴ ∠AQC=∠EPG．························································ 1分
∴ △EGP≌△ACQ．············································································ 1分
12．（本题12分）
解：（1）① y=
．····································································· 2分
当x=60（cm）时，y最大值=1800（cm2）；················································ 2分
② 过点B作BE⊥AD于E,CF⊥AD于F，
设AB=CD=xcm，梯形的面积为S cm2，则BC=EF=（120－2x）cm，
AE=DF=
x，BE=CF=
x ，AD=120－x，
∴S=·x（240－3x）
当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
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