福建省福州市2020年初中毕业班质量检测数学试卷(PDF版,含答案)
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A F D E
B
C 数学试题答案及评分参考
评分说明：
1．本解答给出了一种或几种解法供参考，如果考生的解法与本解答不同，可根据试题的主要考
查内容比照评分参考制定相应的评分细则．
2．对于计算题，当考生的解答在某一步出现错误时，如果后继部分的解答未改变该题的内容和
难度，可视影响的程度决定后继部分的给分，但不得超过该部分正确解答应给分数的一半；如果后继部分的解答有较严重的错误，就不再给分．
3．解答右端所注分数，表示考生正确做到这一步应得的累加分数．
4．只给整数分数．选择题和填空题不给中间分．
一、选择题：共10小题，每小题4分，满分40分；在每小题给出的四个选项中，只有一项是符合题目要求的，
请在答题卡的相应位置填涂．
1．A 2．C 3．A 4．B 5．B
6．A 7．B 8．C 9．C 10．D
二、填空题：共6小题，每小题4分，满分24分，请在答题卡的相应位置作答．
11．1
12．14 13．15 14．4 15．18 16．94
三、解答题：共9小题，满分86分，请在答题卡的相应位置作答．
17．（本小题满分8分）
解：解不等式①，得x ≤3． ······························································································ 3分
解不等式②，得x ＞1 ．
···························································································· 5分 ∴原不等式组的解集是1 ＜x ≤3， ··············································································· 6分
将该不等式组解集在数轴上表示如下：
······························································· 8分
18．（本小题满分8分）
证明：∵点E ，F 在BC 上，BE CF ，
∴BE EF CF EF ，
即BF CE ． ········································································································· 3分
在△ABF 和△DCE 中，
AB DC B C BF CE ，，， ∴△ABF ≌△DCE ， ······························································································· 6分
∴∠A ∠D ． ······································································································· 8分
12345
-1-2-3 -4-50
19．（本小题满分8分）解：原式
2
2
1(1)(1)
(1)
x x x
x
······················································································· 3分2(1)(1)
1
11
x x
x
x x
·························································································· 4分
22
11
11
x x
x x
·································································································· 5分
2
1
x
．··········································································································· 6分当1
x 时，原式 ················································································· 7分
．····················································································· 8分
20．（本小题满分8分）
解：
画法一：画法二：
······························································· 4分如图，点C，D分别为（1），（2）所求作的点．························································ 5分
（2）证明如下：由（1）得BC∥OA，BC 1
2
OA，
∴∠DBC ∠DAO，∠DCB ∠DOA，
∴△DBC∽△DAO， ············································································ 7分
∴1
2
DC BC
DO AO
，
∴OD 2CD．····················································································· 8分21．（本小题满分8分）
解：（1）由图1可得甲的速度是1202=60
m/min．································································ 2分
由图2可知，当4
3
x 时，甲，乙两人相遇，
故4
(60)200
3
v
乙
，
解得90
v
乙
m/min．···························································································· 4分答：甲的速度是60 m/min，乙的速度是90 m/min．
（2）由图2可知：乙走完全程用了b min，甲走完全程用了a min，
∴20020
909
b ， ······························································································· 6分
20010
603
a ．································································································ 8分
∴a的值为10
3
，b的值为20
9
．
22．（本小题满分10分）
解：（1）依题意得100
a ．······························································································ 2分
这1000户家庭月均用水量的平均数为：
N
D
C
O
A
B
D
N
C
O
A
B