山东省烟台市福山区2025-2026学年度下学期六年级数学期中检测(扫描版,含答案)

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山东省烟台市福山区2025-2026学年度下学期六年级数学期中检测(扫描版,含答案)

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《2025-2026 学年度初中数学期中检测》参考答案及评分建议
一、选择题(每小题 3 分,满分 30 分)
题号 1 2 3 4 5 6 7 8 9 10
答案 A A C B D C D D D B
二、填空题(每小题 3 分,满分 18 分)
11. 12.3 13.150 度/150
16
14.40 或 80 15.①④ 16. 9
三、解答题(满分 72 分)
17.解:(1) ·················································2 分
如图所示:线段 AB a 2b即为所求;·············································3 分
(2) ····························· 5 分
如图所示: AOB 就是要作的角.······································6 分
18.(1)解:2x x 10 5x 2 x 1 ,············································1 分
去括号得,2x x 10 5x 2x 2,
移项,合并同类项得, 6x 8,·····················································2 分
4
系数化为 1得, x ;······························································3 3 分
0.1x 0.4 1 0.2x 1(2)解: 1.2 0.3 ,
x 4
整理得, 1
2x 10
,····························································12 3 4 分
去分母得, x 4 12 4 2x 10 ,
去括号得, x 4 12 8x 40,
移项,合并同类项得, 7x 56,····················································5 分
系数化为 1 得, x 8.······························································6 分
19.解:由题意,得方程2 2x 4 1 5 x a 的解为 x 4.
把 x 4代入,得 a 1.··································································2 分
2x 4 x 1
将 a 1代入原方程,得 1 .···········································5 2 3 分
去分母,得2 2x 4 10 5 x 1 .·················································· 4 分
去括号,得 4x 8 10 5x 5.
移项、合并同类项,得 x 13.
系数化为 1,得 x 13.·································································6 分
20.解:设安排 x人生产 A部件,则安排 (16 x)人生产 B部件,·········· 2 分
依题意得3 1000x 5 600(16 x),····················································4 分
解得 x 8,················································································ 6 分
∴16 x 8.·············································································· 7 分
答:应安排 8人生产 A部件,8人生产 B部件,才能使每天生产的 A部件和 B部
件配套.··················································································· 8 分
21.(1)解:∵OD 平分 AOC,OE平分 BOC,
DOC 1 AOC, EOC 1 BOC,················································2 2 2 分
DOE DOC EOC 1 AOC BOC 1 180 90 ;····················4 分
2 2
(2) AOD 30 ,OD平分 AOC,
AOC 60 , BOC 120 ,·························································· 6 分
∵OE平分 BOC,
1
BOE BOC 60 .······························································2 8 分
22.(1)解:根据题意得标价为 1 60% x,售价为0.75 1 60% x,······2 分
则:75% 1 60% x x 8,···························································3 分
解得: x 40,··········································································· 4 分
∴ 1 60% x 1 60% 40 64(元).··············································5 分
答:这款春联每副的标价是 64 元.················································ 6 分
(3)这次买卖中,这家商店赚了;················································ 7 分
理由如下:
设盈利的灯笼成进价为 a元,亏损的灯笼成进价为 b元,根据题意得:· 8 分
200 a 60%a,b 200 20%b,······················································ 9 分
解得:a 125,b 250,·····························································10 分
200 200 125 250 25(元),······················································ 11 分
∴赚了25元.···········································································12 分
23.(1)解:∵A,B两点间的距离为 10,点 A表示的数为 6,
∴6 10 4,
∵动点 P从点 A出发,以每秒 6个单位长度的速度沿数轴向左匀速运动,
∴点 P表示的数是6 6t,
故答案为: 4;6 6t.································································4 分
(2)解:①∵动点Q从点 B出发,以每秒 4个单位长度的速度沿数轴向右匀速
运动,
∴点Q表示的数是 4+4t,
∵点 P与点Q相遇,
∴ 6 6t 4 4t,·········································································· 6 分
解得 t 1,················································································· 7 分
答:当点 P运动 1秒时,点 P与点Q相遇.······································· 8 分
②根据题意得, 6 6t 4 4t 8 ,················································ 9 分
1
解得 t
9
或 ,·········································································5 11 分5
1 9
答:当点 P运动 5或 5秒时,点
P与点Q间的距离为 8个单位长度.····· 12 分
24.解:(1)∵MN 45cm, AB 3cm, AM 18cm
∴ BN MN AB AM 45 3 18 24cm,
∵点 C和点 D分别是 AM ,BN的中点,
AC 1∴ AM 9cm
1
, BD BN 12cm2 ,2
∴ AC BD 21cm.
∴CD AC AB BD 3 21 24cm.
故答案为:24.··········································································2 分
(2)①∵OC和OD分别平分 AOM 和 BON,
AOC 1∴ AOM , BOD
1
BON.··············································2 2 3 分
1 1 1
∴ AOC BOD AOM BON ( AOM BON )2 2 2 .
·····················4 分
又∵ MON 150 , AOB 30 ,
∴ AOM BON MON AOB 150 30 120 .
∴ AOC BOD 60 .································································ 5 分
∴ COD AOC AOB BOD 60 30 90 .································ 6 分
② COD
1
( MON AOB).························································ 7 分
2
理由如下:
∵OC和OD分别平分 AOM 和 BON,
1
∴ AOC AOM , BOD
1
BON.··············································2 2 8 分
AOC BOD 1 AOM 1 BON 1∴ ( AOM BON ).·····················2 2 2 9 分
∴ COD AOC AOB BOD
1
( AOM BON ) AOB
2
1
( MON AOB) AOB
2
1
( MON AOB).··································································2 11 分
(3)∵ MON 150 , AOB 30 ,
∴ AOM BON 120 ,····························································· 12 分
∵ MOC k AOC, NOD k BOD,
∴ AOM MOC AOC (1 k) AOC,
BON NOD BOD (1 k ) BOD ,········································ 13 分

∴ COD AOC AOB BOD
120
30 .···································k 1 14 分 2025-2026学年度下学期初一数学期中检测
5。在解方程2红+3=1时,去分母正确的是()
23
考试时间:120分钟:满分:120分。
注意事项:
A.3(x-)-2(2+3x)=1
B.3(x-)+2(2x+3)=1
1.答题前填写好自己的姓名、班级、考号等信息
2.请将答案正确填写在答题卡上
C.3(-)+2(2+3x)=6
D.3(x-1)-2(2x+3)=6
6.
如图,在6:20这一时刻,时钟上的分针与时针之何的夹角为()
一、单选题(共30分)
1。音桥是我国古代经爽建筑之一,它的修建增加了游人在桥上行走的路程,有利于萄人更好地观赏风充,如
112
10
图。本B两地间修建血桥与修建直的桥相比,增如了桥的长度,其中擅含的数学道理是()
E
-8
iy
6
A,60
B.65
C.70
D.75
7。春节将至,某工艺品店用红纸制作春联和福字满种装饰品,2刷春联和3个褐字配成一套销售,该工艺品
店共有红纸90张。一张红纸能制作2幅春联或制作6个栖字,应该怎样分配红纸才能使制作的春联和福字刚
好配套?若设分配x张红纸制作春联,则依题意可列方程为(),
A.两点之间,线段最知
B.平行于同一条直线的两条直线平行
A.3×2.x=6(90-x)
B.2x=6(90-x)
C,垂线段最知
D.两点确定一条直线
C.3×6x=(90-x×2
D.3×2x=2×6(90-x
2.如图。下列表示角的说法,错误的是(》
8。如图是一块弘,扬“杜会主义核心价值观”的帛面宜传展板,该展板的部分示意图如图2所示,它是以O为
圆心,0A,0B长分别为半径,圆心角∠0=120°形成的扇面,若0A=5m,0B=3m,则阴影部分的面积是
()m2
2=0+7
A.∠AOC也可用∠O表示
B.∠I与∠AOB表示同一个角
C,∠B表示的是∠BOG
D.∠AOB和∠OC都不能用LO表示
3.已知线段AB=10em,点C在直线AB上,BC=8cm,点M、N分别是AB、BC的中点,则MW的长度
为)
C.4
A.18cm
B.2cm
C.cm或lcm
D.18cm或2cm
4.下列运用等式的性质变形不正确的是()
9.如图,一副三角尺按不同的位置摆放,摆放位置中∠a与∠B不相等的图形为《)
A.若a=b,则2a+5=2h+5
B.若-x=6,则x=-2
D.若y-x=0,则x=y
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