47，山东省济南市平阴县2023-2024学年八年级上学期期末考试数学试题(1)

这是一份47，山东省济南市平阴县2023-2024学年八年级上学期期末考试数学试题(1)，共5页。试卷主要包含了填空题，解答题等内容，欢迎下载使用。
单项选择题（共10小题，每小题4分，满分40分）
二、填空题（共6小题，每小题4分，满分24分）
4 12. 5 13. 3
14. 60° 15. 2.5 16.
三、解答题（共10小题，满分86分，解答应写出必要的文字说明，证明过程或演算步骤）
17. 计算（本小题满分6分，每小题3分）
（1）
=·····························1分
=··································2分
=10·····································3分
（2）
=······························1分
=5+4······································2分
=9·······································3分
18.解下列方程组（本小题满分8分，每小题4分）
(1)
解：①+② 得：3x=12································1分
解 得： x=4 ③ ······························2分
将③代入②， 得 ·····························3分
所以原方程组的解是···························4分您看到的资料都源自我们平台，家威杏 MXSJ663 低至0.3/份
解：
，得···························1分
····························2分
将代入①，得 ·························3分
所以原方程组的解是·························4分
19.（本小题满分6分）
解：∵AD∥BC,∠B=80°
∴∠BAD＝180°-∠B=180°-80°=100°······2分
∵AE平分∠BAD
∴··················4分
∵AD∥BC
∴∠BEA=∠DAE=50°·························6分
（本小题满分8分）
解：（1）∵在△ABC中，AB=AC， ∠A=40°，
∴·········2分
∵ AB的垂直平分线交 AC于点 E
∴ EA=EB·······················3分
∴∠ABE=∠A=40°··················4分
∴∠CBE=∠ABC-∠ABE=70°-40°=30°·········5分
5 ·······················8分
（本小题满分8分）
A组数据的中位数是 69 ，众数是 74 ；···4分
C组人数：（人）
补充如图·················6分
（人）
∴大约有1725名学生达到适宜心率·················8分
（本小题满分8分）
解:（1）设 购进A种树苗x棵，购进B种树苗y棵·················1分
由题意可得 ··························3分
解 得 ·····························4分
所以： 购进A种树苗10棵，购进B种树苗7棵
（2）①······················6分
②∵20＞0
∴w随a的增大而增大
∴当a=9时，w最小，且最小值为（元）············7分
此时17-9=8
∴当购进A种树苗9棵，B种树苗8棵时，费用最省，此时费用为1200元······8分
（本小题满分8分）
如图·····················2分
写出C1的坐标 （-5,3） ；·········4分
（2）计算：△ABC的面积是 6 ···········6分
（3）点P的坐标 ．··············8分
24.（本小题满分10分）
解：（1）
=··························1分
=··································2分
∵a是的小数部分
∴································4分
∴ ··················6分
=···············8分
=····················9分
=··································10分
25.（本小题满分12分）
（1）速度是 100 千米/时；···········4分
（2）路程是 100 千米；············8分
（3）解：由图象可知
甲车速度为：千米/时
乙车返回前速度为：千米/时
设：乙车返回前甲、乙两车相距40千米时，乙车行驶的时间为x小时．
则80x+120x=300-40
解得x=1.3·································10分
或80x+120x=300+40
解得x=1.7·································12分
∴乙车返回前甲、乙两车相距40千米时，乙车行驶的时间为1.3小时或1.7小时
（本小题满分12分）
（1）设 直线AP对应的函数解析式为：··················1分
代入P（1,0）、A（0,-3）
可得································2分
解得 ·································3分
所以：直线AP对应的函数解析式为····················4分
（2）设直线AP与直线x=-2交于点D，设M坐标（-2，y）
把x=-2代入直线AP，可得D（-2，-9）····················5分
∴
∴ ··················7分
解得y=3
∴M坐标（-2，3）····························8分
存在·······························9分
························12分题号
1
2
3
4
5
6
7
8
9
10
答案
A
C
B
D
C
A
D
C
B
C