上海7A静安区-期末-教研(含答案)(1)
【七上期末.数学】上海市静安区第一学期初一数学期末卷(含答案)
(考试时间:90 分钟,满分:100 分)
一、选择题(本大题共 6 题,每题 2 分,满分 12 分)
题号
1
2
3
4
5
6
答案
B
C
B
C
C
A
二、填空题(本大题共 12 题,每题 3 分,满分 36 分)
7、− 2 5
;
8、− 3m2 ; 9、(x − 2)(x − 3) ; 10、a3 − a
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b 11、5a2 ;
四、解答题(本大题共 4 题,第 25-27 每题 6 分,第 28 题 8 分,共 26 分)
25. (3m − 4)x3 − (2n − 3)x2 + (2m + 5n)x − 6 是关于 x 的多项式.
(1)当 m、n 满足什么条件时,该多项式是关于 x 的二次多项式; (2)当 m、n 满足什么条件时,该多项式是关于 x 的三次二项式.
或者 原式= (x2 y2 + y2 ) − (x2 + 1) ……………………………………………………(1 分)
= y2 (x2 + 1) − (x2 + 1) ………………………………………………………(1 分)
= (x2 + 1)( y2 − 1) ……………………………………………………………(1 分)
(1)将三角形纸片 ABC 沿着射线 AB 方向平移 AB 长度得到△BDE(点 B、C 分别与
点 D、E 对应),在图中画出△BDE,求出△ABC 在平移过程中扫过的图形的面
积;
(2)三角形纸片 ABC 是由一张纸对折后(折痕两旁完全重合)得到的,展开这张折
纸后就可以得到原始的图形,那么原始图形的周长为
2025届上海市静安区、青浦区七年级数学第一学期期末调研模拟试题含解析
2025届上海市静安区、青浦区七年级数学第一学期期末调研模拟试题注意事项:1.答题前,考生先将自己的姓名、准考证号码填写清楚,将条形码准确粘贴在条形码区域内。
2.答题时请按要求用笔。
3.请按照题号顺序在答题卡各题目的答题区域内作答,超出答题区域书写的答案无效;在草稿纸、试卷上答题无效。
4.作图可先使用铅笔画出,确定后必须用黑色字迹的签字笔描黑。
5.保持卡面清洁,不要折暴、不要弄破、弄皱,不准使用涂改液、修正带、刮纸刀。
一、选择题(每小题3分,共30分)1.巴陕高速的米仓山隧道全长13800米,是我国长度第二长的高速公路隧道.请用科学记数法表示13800这个数字(结果精确到千位)( )A .13.8×103B .1.4×103C .1.3×104D .1.4×1042.如图,线段AB 上有C D 、两点,则图中共有线段( )条A .3B .4C .5D .63.一个角的补角比这个角的余角3倍还多10°,则这个角的度数为( )A .140°B .130°C .50°D .40°4.有理数,a b 在数轴上的位置如图所示,则下列结论正确的是( )A .0a b +>B .0a b -<C .b a >D .0ab <5.小明在解方程21133x x a -+=-去分母时,方程右边的﹣1没有乘3,因而求得的解为x =2,则原方程的解为( ) A .x =0 B .x =﹣1 C .x =2 D .x =﹣26.在式子:2221212,,,1,,,2223x y x y xy ab x xy y x+-++中,单项式的个数是( ) A .4 B .3 C .2 D .17.已知线段AB C ,是直线AB 上的一点,8,4AB BC ==,点M 是线段AC 的中点,则线段AM 的长为( ) A .2B .4C .4或6D .2或6 8.已知a+4b =﹣15,那么代数式9(a+2b )﹣2(2a ﹣b )的值是( ) A .﹣15 B .﹣1 C .15D .1 9.已知实数x ,y 满足|x ﹣4|+(y ﹣8)2=0,则以x ,y 的值为两边长的等腰三角形的周长是( )A.20或16 B.20 C.16 D.以上答案均不对10.某个几何体的展开图如图所示,该几何体是()A.长方体B.圆柱体C.球体D.圆锥体二、填空题(本大题共有6小题,每小题3分,共18分)11.在数轴上,与表示-1的点相距6个单位长度的点所表示的数是_______12.6的绝对值是___.13.若∠α=26°30′,则∠α的补角是________.14.若﹣2x2a y7与3x2y b+2是同类项,那么a﹣b=_____.15.若m,n互为相反数,则5m+5n+3=_____.16.如图,边长为x的正方形中有两半圆,则阴影部分的面积是_______________________.三、解下列各题(本大题共8小题,共72分)17.(8分)解答下列各题:(1)21123(24)2234⎛⎫⎛⎫-++-⨯-⎪ ⎪⎝⎭⎝⎭.(2)5121136x x+-=-.18.(8分)如图,线段AB=16cm,在AB上取一点C,M是AB的中点,N是AC中点,若MN=3cm,求线段AC 的长.19.(8分)李老师开车从甲地到乙地办事,原计划2小时到达,但因路上堵车,平均每小时比原计划少走了25千米,结果比原计划晚1小时到达,问原计划的速度是多少?20.(8分)解方程:y -12y-= 1-26y+21.(8分)计算:(1)(2) . 22.(10分) [问题背景]ABC 三边的长分别为22,1317,,求这个三角形的面积.小辉同学在解这道题时,先建立一个正方形网格(每个小正方形的边长为1),再在网格中作出格点ABC (即ABC 三个顶点都在小正方形的顶点处),如图1所示,这样不需要作ABC 的高,借用网格就能计算出ABC 的面积为_ ;[思维拓展]我们把上述求ABC 面积的方法叫做构图法,若ABC 三边的长分别为5,10,13a a a ,请利用图2的正方形网格(每个小正方形的边长为a )画出相应的ABC ,并求出它的面积:[探索创新]若ABC 222222449,164m n m n m n +++,其中0, 0m n >>且m n ≠),请利用构图法求出这个三角形的面积(画出图形并计算面积).23.(10分)定义新运算“@”与“⊕”:@2a b a b +=,2a b a b -⊕= (1)计算()()()3@221---⊕-的值;(2)若()()()()()3@23,@329A b a a b B a b a b =-+⊕-=-+-⊕--,比较A 和B 的大小24.(12分)有一根长8cm 的木棒(MN M 在N 的左侧)放置在数轴(单位:)cm 上,它的两端M ,N 落在数轴上的点所表示的数分别为m ,n ,木棒MN 的中点A 在数轴上所表示的数为a . ()1若2m =,求n 的值;()2若3n =,求3()m a +的值.参考答案一、选择题(每小题3分,共30分)1、D【分析】近似数精确到哪一位,应当看末位数字实际在哪一位.【详解】解:13800≈1.4×2.故选:D.【点睛】此题主要考查科学记数法的表示,解题的关键是熟知科学记数法的表示方法及近似数的定义.2、D【分析】根据线段有两个端点,写出所有线段后计算个数.【详解】解:由图得,图中的线段有AC,AD,AB,CD,CB,DB,共6条.故选:D.【点睛】本题考查线段的定义,找出线段时要注意按顺序做到不重不漏.3、C【分析】根据互为余角的两个角的和等于90°,互为补角的两个角的和等于180°,列出方程,然后解方程即可.【详解】设这个角为α,则它的余角为90°-α,补角为180°-α,根据题意得,180°-α=3(90°-α)+10°,180°-α=270°-3α+10°,解得α=50°.故选C.【点睛】本题考查了互为余角与补角的性质,表示出这个角的余角与补角然后列出方程是解题的关键.4、B【分析】先根据点在数轴上的位置,判断出a、b的正负,然后再比较出a、b的大小,最后结合选项进行判断即可.【详解】解:由点在数轴上的位置可知:a<0,b<0,|a|>|b|,A 、∵a <0,b <0,∴a+b <0,故A 错误;B 、∵a <b ,∴a-b <0,故B 正确;C 、|a|>|b|,故C 错误;D 、ab >0,故D 错误.故选:B .【点睛】本题主要考查的是绝对值、数轴、有理数的加法、减法、乘法运算,掌握运算法则是解题的关键.5、A【分析】已知小明在解方程去分母时,方程右边的﹣1这个项没有乘3,则所得的式子是:2x ﹣1=x +a ﹣1,把x =2代入方程即可得到一个关于a 的方程,求得a 的值,然后把a 的值代入原方程,解这个方程即可求得方程的解.【详解】解:根据题意,得:2x ﹣1=x +a ﹣1,把x =2代入这个方程,得:3=2+a ﹣1,解得:a =2, 代入原方程,得:212133x x -+=-, 去分母,得:2x ﹣1=x +2﹣3,移项、合并同类项,得:x =0,故选A .【点睛】此题考查了一元一次方程的解法以及方程的解的定义.熟练掌握解一元一次方程的方法和步骤是解题的关键. 6、A【分析】根据单项式的定义,数与字母的积的形式的代数式是单项式,单独的一个数或一个字母也是单项式,分母中含字母的不是单项式,可做出选择.【详解】解:根据单项式的定义可得:2122,,1,23-x y xy ab 是单项式,共4个 22,22x y x xy y +++为多项式,1x为分式. 故选:A【点睛】本题考查单项式的定义,较为简单,准确掌握定义是关键.7、D【分析】由C 是直线AB 上的一点,且8,4AB BC ==可知,C 点的位置有两个,一个位于线段AB 上,一个位于线段AB 的延长线上;分两种情况:①C 点位于线段AB 上和②C 位于线段AB 的延长线上,根据线段的中点定理1=2AM AC 作答即可. 【详解】解:①C 点位于线段AB 上时,∵8,4AB BC ==,∴844AC AB BC =-=-=,∵点M 是线段AC 的中点, ∴1=22AM AC =; ②C 位于线段AB 的延长线上时,∵8,4AB BC ==∴8412AC AB BC =+=+=,∵点M 是线段AC 的中点, ∴1=62AM AC =; 综上所述,线段AM 的长为2或6;故选D .【点睛】本题主要考查了线段的中点定理;仔细读懂题意“C 是直线AB 上的一点”,明确本题C 点的位置有两个,是准确作答本题的关键.8、B【分析】先化简所求代数式,再将已知等式作为一个整体代入求解即可.【详解】9(2)2(2)a b a b +--91842a b a b =+-+520a b =+5(4)a b =+ 将145a b +=-代入得:原式15(4)5()15a b =+=⨯-=-故选:B .【点睛】本题考查了代数式的化简求值,掌握代数式的化简方法是解题关键.9、B【分析】先根据非负数的性质列式求出x、y的值,再分4是腰长与底边两种情况讨论求解.【详解】解:根据题意得,x﹣4=0,y﹣8=0,解得x=4,y=8,①4是腰长时,三角形的三边分别为4、4、8,∵4+4=8,∴不能组成三角形;②4是底边时,三角形的三边分别为4、8、8,能组成三角形,周长=4+8+8=1.所以,三角形的周长为1.故选:B.【点睛】本题考查了等腰三角形的性质,分类讨论是关键.10、B【分析】由圆柱的展开图的特点判断得出即可.【详解】因为圆柱的展开图是一个长方形和两个同样大的圆,故选:B.【点睛】此题考查几何体的展开图,正确掌握各几何体的展开图的构成是解题的关键.二、填空题(本大题共有6小题,每小题3分,共18分)11、5或-7【解析】试题分析:在数轴上两点之间的距离可以用两点所表示的数的差的绝对值来进行计算.设这个数为x,则x--=6,解得:x=5或-7.(1)考点:数轴上两点之间的距离12、1.【分析】根据绝对值的意义解答即可.【详解】解:1是正数,绝对值是它本身1.故答案为:1.【点睛】本题考查了绝对值的意义,属于应知应会题型,熟知绝对值的定义是解题关键.13、153°30′【分析】根据补角的定义进行解答即可;【详解】解:∠α的补角=180°-∠α=180°-26°30′=153°30′;故答案为:153°30′.【点睛】本题主要考查了补角的定义,掌握补角的定义是解题的关键.14、-4【分析】由同类项的定义,即相同字母的指数相同,可得到关于a ,b 的方程组,解方程组即可. 【详解】解: ﹣2x 2a y 7与3x 2y b+2是同类项,22,27a b =⎧∴⎨+=⎩ 1,5a b =⎧∴⎨=⎩15 4.a b ∴-=-=-故答案为: 4.-【点睛】本题考查的是同类项的概念,掌握概念,利用概念列方程组是解题的关键.15、1【解析】直接利用相反数的定义分析得出答案.【详解】解:∵m ,n 互为相反数,∴m +n =0,∴5m +5n +1=5(m +n )+1=1.故答案为:1.【点睛】此题主要考查了相反数,正确把握相反数的定义是解题关键.16、224x x π-【分析】根据图形即可求出阴影部分的面积.【详解】∵正方形的边长为x ,∴圆的半径为2x ∴阴影部分的面积是222x x π⎛⎫-⨯ ⎪⎝⎭=224x x π- 故答案为:224x x π-. 【点睛】此题主要考查列代数式,解题的关键是熟知正方形、圆的面积公式.三、解下列各题(本大题共8小题,共72分)17、(1)6-;(2)512x =. 【分析】(1)先运用乘方和乘法分配律进行计算,然后再按照有理数加法运算法则计算即可;(2)按照去分母、去括号、移项、合并同类项、系数化为1的步骤解答即可.【详解】解:(1)原式1234(24)(24)(24)234=+⨯-+⨯--⨯- 4(12)(16)18=+-+-+2228=-6=-.(2)5121136x x +-=-, 去分母,得:()()251621x x +=--,去括号,得:102621x x +=-+,移项,得:102612x x +=+-,合并同类项,得125x =,系数化为1,得:512x =. 【点睛】本题主要考查了含乘方的有理数混合运算以及一元一次方程的解法,掌握相关运算法则和方法成为解答本题的关键. 18、1cm【分析】根据线段中点的定义和线段的和差即可得到结论.【详解】解:∵AB=16cm ,M 是AB 的中点,∴AM=AB ⨯12=8cm , ∵MN=3cm ,∴AN=AM--MN=8-3=5cm ,∵N 是AC 中点,∴AC=2AN=2×5=1. 答:线段AC 的长为1 cm .【点睛】本题考查的是两点间的距离,熟知各线段之间的和、差及倍数关系是解答此题的关键.19、75千米【分析】设原计划每小时行驶x 千米,根据路程一定的等量关系,列出方程求解即可.【详解】解:设原计划每小时行驶x 千米.根据题意,得:()2325x x =-,解得:75x =,答:原计划每小时行驶75千米.【点睛】本题考查了一元一次方程中路程问题的应用,解题关键是要读懂题目的意思,根据题目给出的条件,找出合适的等量关系列出方程,再求解.20、14【分析】方程去分母,去括号,移项合并,把y 系数化为1,即可求出解.【详解】去括号得:12y-6y+6=12-2y-4,移项合并得:8y=2,解得:y=14. 【点睛】本题考查了解一元一次方程,熟练掌握运算法则是解本题的关键.21、 (1)-4; (2)9【解析】(1)先算乘方,再算乘除法,最后加减法即可解答本题;(2)先算中括号里的,再根据有理数的乘法即可解答本题.【详解】(1)=-4+8×=-4-1+1=-4.(2)===9.【点睛】此题考查有理数的混合运算,解题关键在于掌握运算法则.22、(1)5(2)3.5a2(3)4mn.【分析】(1)依据图像的特点用割补法进行计算即可;(2)5a a是直角边长为a,2a的直角三角形的斜边;10a是直角边长为a,3a的直角三角形的斜边;13a是直角边长为2a,3a的直角三角形的斜边,把它整理为一个矩形的面积减去三个直角三角形的面积;(3)224m n+是以2m,n为直角边的直角三角形的斜边长;2249m n+是以2m,3n为直角边的直角三角形的斜边长;22164m n+是以4m,2n为直角边的直角三角形的斜边长;继而可作出三角形,然后求得三角形的面积.【详解】(1)△ABC的面积=3×4−12×2×2−12×1×4−12×2×3=5,故答案为:5;(2)如图:由图可得,S△ABC=3a×3a−12×a×2a−12×2a×3a−12×a×3a=3.5a2;(3)如图,224m n+2249m n+,22164m n+∴S△ABC=4m×3n−12×2m×n−12×2m×3n−12×4m×2n=4mn.【点睛】此题考查了勾股定理的应用以及三角形面积问题.注意掌握利用勾股定理的知识画长度为无理数的线段是解此题的关键.23、(1)1;(2)A B <.【分析】(1)根据题意新运算的符号进行求解;(2)根据新运算符号分别求出A 、B 的值在进行比较大小即可.【详解】解:(1)根据题意得:()()()3@221---⊕-322122--+=- =1;(2) ()()3323@233122b a b a A b a a b b -+-=-+⊕-=+=-, ()()()392@329=3122a b b a B a b a b b --+=-+-⊕--+=+, 3131b b +>-,A B ∴<.【点睛】本题考查新运算,解题关键在于对题意得理解.24、()1n 的值为10或6;()32()m a +的值为216-. 【解析】()1根据绝对值的意义列方程解答即可;()2根据题意得到m 、a 的值,代入代数式求得即可.【详解】()12m =,2m ∴=或2-,M ,N 两点的距离为8,n ∴的值为10或6;()23n =,M ,N 两点的距离为8,5m ∴=-, MN 的中点A 在数轴上所表示的数为a ,3512a -∴==-, 3()m a ∴+的值为216-.【点睛】本题考查了一元一次方程的应用与数轴,解题关键是要读懂题目的意思,根据题目给出的条件,找出合适的等量关系列出方程,再求解.。
上海市静安区2019~2020学年七年级第一学期期末教学质量调研语文试卷及答案
静安区2019学年第一学期期末教学质量调研七年级语文试卷(满分100分,时间100分钟)1.本试卷共23题,全卷书写分3分。
2.请将所有答案做在答卷的指定位置上,做在试卷上一律不计分。
第一部分积累与运用(22分)一、基础知识(6分)1.下列加点字读音完全正确的一项是()A.应和 hè掺和heB.称职 chèng 凌乱língC.粗犷kuàng 鄙薄bóD.着落zhuó蜷伏quán2.下列词语中没有错别字的一项是()A.侍弄决别咄咄逼人B.晕眩淋漓油然而升C.帐篷溜达拈轻怕重D.炫耀怂勇神采奕奕3.下列加点字意思相同的一项是()A.未若柳絮因风起——求闻之若此B.学而时习之——年与时驰C.太丘舍去——其人舍然大喜D.恐前后受其敌——狼不敢前二、默写(13分)4.水何澹澹,___________________。
(《观沧海》曹操)5.潮平两岸阔,_________________。
(《次北固山下》王湾)6.夕阳西下,___________________。
(《天净沙·秋思》马致远)7._____________________,非宁静无以致远。
(《诫子书》诸葛亮)8.《论语·子张》中子夏说:若能做到“_____________,______________”,那么仁德就在其中了。
9.古诗词中多有借明月抒发思乡怀人之情的诗句,如李白《闻王昌龄左迁龙标遥有此寄》中的“___________________,___________________”两句,将自己对友人的一片深情托付于明月,而杜甫《月夜忆舍弟》中的“露从今夜白,________________”则更为直接地表达了对故乡和亲人的思念。
三、名著阅读(3分)10.最近,班级里开展了“《朝花夕拾》知多少”的名著阅读竞赛活动。
请你根据描述,完成下列题目。
(1)__________(人名)是一个高而瘦的老人,须发都花白了,是城中极方正,质朴,博学的人。
沪教版上海静安区2017—2018学年七年级第一学期期末教学质量调研语文试题解析
上海静安区2017——2018学年七年级语文第一学期期末教学质量调研试题1. 默写(1)同物既无虑,__________________。
(《读<山海经>》)(2)__________________,天涯共此时。
(《望月怀远》)(3)若为化得身千亿,__________________。
(《与浩初上人同看山寄京华亲故》)(4)吴楚东南坼,__________________。
(《登岳阳楼》)(5)__________________,到乡翻似烂柯人。
(《酬乐天扬州初逢席上见赠》)(6)买炭得钱何所营?__________________。
(《卖炭翁》)(7)__________________,干戈寥落四周星。
(《过零丁洋》)(8)青树翠蔓,蒙络摇缀,__________________。
(《小石潭记》)【答案】(1). 化去不复悔(2). 海上生明月(3). 散上峰头望故乡(4). 乾坤日夜浮(5). 怀旧空吟闻笛赋(6). 身上衣裳口中食(7). 辛苦遭逢起一经(8). 参差披拂【解析】试题分析:默写常见的名句名篇。
这类试题属于基础题,也是语文中考必考题。
默写题不论分几种类型,都是以记忆、积累为根本的。
解题时一是要透彻理解诗歌的内容,二是要认真审题,找出合适的诗文句子,三是答题时不能写错别字。
本题中的“梅每、生、乾坤、吟、赋、拂”等字词容易写错。
点晴:积累和默写名句名篇的内容,要做到熟练背诵,默写正确,这是得分的前提。
对于理解性默写,要认真分析题干,找出题干中的提示语或是限制语,再依据平时对名句的理解进行筛选,就能写出答案。
阅读下文,完成后面小题。
口技(节选)①忽一人大呼“火起”,夫起大呼,妇亦起大呼。
两儿齐哭。
俄而百千人大呼,百千儿哭,百千犬吠。
中间..力拉崩倒之声,火爆声,呼呼风声,百千齐作;又夹百千求救声,曳屋许许声,抢夺声,泼水声。
凡所应有,无所不有。
虽人有百手,手有百指,不能指其一端;人有百口,口有百舌,不能名其一处也。
上海市静安区2020—2021学年七年级上学期期末语文试卷(word版有答案)
静安区2020学年第一学期期末教学质量调研七年级语文试卷(完成时间100分钟,满分100分)2021.11.注意:本试卷共23题。
2.请将所有答案用黑墨水钢笔或水笔做在答卷的指定位置上,做在试卷上一律不计分。
第一部分阅读(57分)一、文言文(29分)(一)默写(8分)1.秋风萧瑟,_______________。
(《观沧海》)2. _______________,随君直到夜郎西。
(《闻王昌龄左迁龙标遥有此寄》)3. _______________,江春入旧年。
(《次北固山下》)4.晴空一鹤排云上,_______________。
(《秋词(其一)》)5. _______________,却话巴山夜雨时。
(《夜雨寄北》)6.夜阑卧听风吹雨,_______________。
(《十一月四日风雨大作(其二)》)7.不义而富且贵,_______________。
(《论语》)8.夫君子之行,_______________,俭以养德。
(《诫子书》)(二)阅读诗歌,完成9—10题(4分)天净沙·秋思枯藤老树昏鸦,小桥流水人家,古道西风瘦马。
夕阳西下,断肠人在天涯。
9.这首作品的作者是_________(姓名),“天净沙”是_________。
(2分)10.以下对这首作品理解正确的一项是(2分)A.“枯藤”“老树”“昏鸦”连续点出作品描写的季节B.“小桥流水人家”是游子思念的故乡所特有的景物C.“古道”“西风”交代游子漂泊在荒凉的塞外D.“断肠人”表达了游子内心的悲苦之情(三)阅读下文,完成11—13题(9分)陈太丘与友期行陈太丘与友期行,期日中。
过中不至,太丘舍去,去后乃至。
元方时年七岁,门外戏。
客问元方:“尊君在不?”答曰:“待君久不至,已去。
”友人便怒曰:“非人哉!与人期行,相委而去。
”元方曰:“君与家君期日中。
日中不至,则是无信;对子骂父,则是无礼。
”友人惭,下车引之。
元方入门不顾。
11.陈太丘是陈元方的父亲,这点从文中的尊称______与谦称______可以得出。
静安区2017学年第一学期7A期末考试
静安区2017 学年第一学期期末教学质量调研七年级英语2019.11(考试时间:90 分钟,满分100 分)考生注意:本卷有7 大题,共77 小题。
试题均采用连续编号,所有答案务必按照规定在答题纸上完成,做在试卷上不给分。
Part 1 Listening (第一部分听力)I. Listening comprehension (听力理解) (共25 分)A. Listen and choose the right picture (根据你听到的内容,选出相应的图片) (5 分)A B CD E F1. 2. 3. 4. 5.B. Listen to the dialogue and choose the best answer to the question you hear (根据你听到的对话和问题,选出最恰当的答案) (6 分)6. A) By bike. B) By bus. C) On foot. D) By underground.7. A) Christmas puddings. B) Rice dumplings. C) English food. D) Chinese puddings.8. A) Warm and cloudy. B) Cold and rainy. C) Warm and sunny. D) Cold and snowy.9. A) His sister. B) His mother. C) His brother. D) His father.10. A) 2 yuan. B) 3 yuan. C) 5 yuan. D) 6 yuan.11. A ) Shop assistant and customer(顾客). B) Husband and wife.C) Doctor and nurse. D) Teacher and student.C. Listen to the passage and tell whether the following statements are true or false (判断下列句子是否符合你听到的内容,符合的用“T”表示,不符合的用“F”表示) (6 分)12. Lily likes her new bedroom because she can share it with her sister.13. Lily’s bedroom is big and comfortable, so it becomes her favorite room.14. Lily often helps her mother cook meals in the kitchen.15. Lily’s mother is a cook and often teaches Lily how to make delicious dishes.16. When Lily’s mother was a child, she used to live in India.17. Lily wants to know something about Alice’s home.D. Listen to the passage and complete the following sentences (听短文完成下列内容,每空格限填一词) (8 分)18. It takes Mary to walk to school every day.19. Mary says, “I all kinds of books after school”.20. Paul is a middle school student of _, Grade Two.21. Paul and Mary often go to the library and see movies together _.Part 2 Phonetics, Vocabulary and Grammar(第二部分语音、词汇和语法)II. Choose the best answer (选择最恰当的答案) (共16 分)22. Please b ea t the egg for two minutes and get it ready for the soup. Which of the following iscorrect for the underlined part in the word?A) /I/ B) /e/ C) /i:/ D) /ei/23. Which of the following underlined parts is different in pronunciation from others?A) The public library is three bl o cks down the Green Street.B) Dad wants to buy some fr o zen food on his way home.C) We are going to have a wonderful winter h o liday in two weeks.D) Look at the traffic lights. Please cr o ss the road safely.24. Mr. Lin is SPCA officer. He will visit our school tomorrow morning.A) a B) an C) the D) /25. Please add some water the dough, or it will be too dry.A) to B) on C) for D) from26. I bought the little child sweets and the boy looked very happy.A) a piece of B) a bottle of C) a pair of D) a packet of27. Miss Tang is a(n) and she often answers the phone in the office.A) architect B) ambulance worker C) secretary D) dentist28. I don’t like the color of the scarf, please show me one.A) other B) another C) the others D) the other29. We shouldn’t watch TV for . It’s bad for our eyes.A) too much B) too many C) too little D) too long30. delicious the sea food with garlic tastes!A) How B) What C) What a D) What an31. Mike as a policeman for over 20 years. He keeps our city safe.A) worked B) will work C) is working D) has worked32. – Would you like a bowl of seafood noodles?– No, thanks. I’d rather some pizza.A) have B) to have C) having D) had33. When I lived in the city center, I the Science Museum very often.A) visit B) visited C) have visited D) will visit34. – is your project going to be about, Tony?– About keeping a pet.A) How B) Which C) What D) Who35. It is really cold today, you should wear thick clothes before going out.A) if B) but C) so D) because36. Miss Liu has never been to Hainan island. her friends.A) So has B) So have C) Neither has D) Neither have37. – Shall we go to the market to buy some food for the picnic tomorrow?–A) A good idea. B) I don’t think so. C) It’s a pleasure. D) No, we can’t.III. Complete the following passage with the words or phrase in the box. Each can only be used once (将下列单词或词组填入空格,每空格限填一词, 每词只能填一次) (共6 分)NewsBefore newspapers, people talked to each other to get news.Then people printed the news on paper and newspapers appeared.Later they 38 the radio for news. Today we can watchnews on TV and read it on the 39 any time we want.TravelPeople long ago walked from place to place or traveled by horse and cart(马车). When they traveled long distances they went by train or ship. It was 40 and difficult. Today we can travel in cars, fast trains, buses, or airplanes to go to places that are 41 . We can travel to places across the ocean or across the world in a day. Travel is fast and convenient now.Communication(交流)Long ago, people used letters to communicate. They mailed letters to friends and families. Letters were 42 by horse and cart, and later by train or boat or by airplane. Today, communication is different. We can send e-mails, text messages, or phone calls to communicate 43 with friends and family all over the world.IV. Complete the sentences with the given words in their proper forms (用括号中所给单词的适当形式完成下列句子,每空格限填一词) (共8 分)44. We rescued the dog and her two little from the river. (puppy)45. If you want to visit our library, please go to the floor. (five)46. Tom is a boy of only six, but he can take care of . (he)47. David’s parents have planned a trip to for the spring festival. (Canadian)48. A cold drink is often a of milk and juice. (mix)49. Reading some books helps enrich your knowledge. (regular)50. The life in the suburbs is much more than that in the city. (peace)51. We should do something for those animals in cold winter. (home)V. Complete the following sentences as required (根据所给要求完成下列句子,52-55 小题每空限填一词,56 小题注意句首大写) (共10 分)52. Kitty put the TV set opposite the sofa just now. (改为否定句)Kitty the TV set opposite the sofa just now.53. Students are going to have a food festival in the school next w eekend. (对划线部分提问)students going to have a food festival in the school?54. Susan would like to keep the lovely cat as her pet.(保持句意基本不变)Susan keep the lovely cat as her pet.55. Gary often played computer games. But now he doesn’t play them any longer.(保持句意基本不变)Gary play computer games. But now he doesn’t play them any longer. 56. I, James, soon, hearing from, am looking forward to. (连词成句,注意大小写和标点符号)Part 3 Reading and Writing (第三部分读写)VI. Reading comprehension (阅读理解) (共25 分)A. Choose the best answer(根据以下内容,选择最恰当的答案) (5 分)You don’t have much time for your diary, but you really want to Array remember your important moments in life. Nine Square Diar(y九宫格日记)is coming to help you. This new kind of diary has nine squares. And theyare about nine different parts in life, such as plans, feelings and health.Writing this diary is just like filling in blanks. I like it because it is soconvenient that you can finish it in only a few minutes.The above is a page of Nine Square Diary from Sun Ning, a middle school student.57. You will write down something in the part “” when you catch a bad cold.A) Plan B) Progress C) Dream D) Health58. You are going to buy things for your picnic. It’s a /.A) feeling B) plan C) date D) progress59. The wor d “select” in the part of “Progress” probably means _.A) choose B) love C) wash D) eat60. Nine Square Diary is really a good way for you to .A) help others B) show your feelingsC) remember important moments D) have nice dreams61. The writer thinks it a(n) way to write a diary with the help of Nine Squares.A) interesting B) convenient C) different D) happyB. Choose the best answer and complete the passage (选择最恰当的选项完成短文)(7.5 分)Do you want to be 100 years old? You can learn from the Japanese. There are more than 20,000men and women over 100 years old in Japan. You may ask, “Why do they 62 so long?They have a lot of stress (压力).”Yes. They usually work long hours and change their way in crowded trains. And just like in other countries, many people have bad 63 - theyoften drink alcohol and they smoke. What’s more, many people don’tget a lot of sleep, and they hardly ever take holidays. So, what is thesecret?Dr. Shibahara, 92, has some ide as. “It’s the diet. The Japanese dietis very 64 .”People drink green tea two or three times a day.They eat fish two or three times a week and only sometimes eat meat.“65 is very important,” says Dr. Shibahara. Japanese people usually walk a lot. Every day Dr. Shibahara takes the stairs, not the elevator (电梯). He 66 spends time with other people. He takes night classes, goes to the movies with his grandchildren and often goes on picnics with his wife. She is 89! “Lonely people die y oung,” Dr. Shibahara says. “E at well, walk more, and spend more time with family and friends,” he advises.62. A) work B) live C) study D) play63. A) habits B) foods C) drinks D hobbies64. A) big B) delicious C) strange D) healthy65. A) Sleep B) Study C) Exercise D) Play66. A) already B) still C) also D neverC. Fill in the blanks with proper words(在短文的空格内填入适当的词,使其内容通顺,每空格限填一词,首字母已给)(7.5 分)Before the 16th century, people in Europe didn’t have a lot of the things that we eat and drink every day. At the end of the 15th century, people from Europe s 67 to travel to other parts of the world. They went to America, Africa and Asia. They brought back a lot of new kinds of food.Chocolate came from Mexico. The Aztecs there drank chocolatewith pepper! And today chicken with chocolate sauce is a popularm 68 in Mexico. The Spanish brought chocolate to Europe andthey were the first to put sugar in it. Until the 1870’s, chocolate waso 69 a drink. The Swiss made the first bar of chocolate in 1876.Tomatoes and peppers came from Mexico, too. The Spanish brought seeds back to Spain and g 70 the plants there. Soon they spread to other countries in Europe and then to other parts of the world.Coffee came from Africa. The Turks took it to Turkey andthen to Europe.Tea came from China in the 17th century. At first it was verye 71 and only rich people drank it, but in the 19th century theBritish began to plant tea in India. They produced a lot, so it was cheap and everybody drank it. D. Answer the questions (根据以下内容回答问题) (5 分)“Tell me a story Grandpa!”“Oka y,”says Grandpa. “I’ll tell you a story about my grandfather,Carlo. In 1910, Carlo was 10 years old. He and his family lived in Italy.They were very poor, so they came to the United States for a better life.“Real ly? I’m ten, too.” says Henry, “And Mom, Dad, and I visit adifferent country every summer!”“Yes, Henry. Things are different now,” sa ys Grandpa,”“How d id they go here?” asks Henry.“By shi p,” s ay Grandpa. “It wasn’t an easy trip because the ship was crowded and dirty. There wasn’t much food and many people got sick. Carlo was sick, too. They arrived at Ellis Island in New York after ten days.”“Wow! That’s slow!” sa ys Henry. “Now it only takes about nine hours in an airpl ane.”“I know,” s ay Grandpa. “It’s very different today.”“What happened at Ellis Island?” asks Henry.”“Doctors checked everyone, and Carlo was very scared (害怕). People who weren’t healthy couldn’t enter New York,” s ays Grandpa. “The clerks asked them many questions.”“What questions, Grandpa?” asks Henry.“Where are you from? Are you healthy or are you sick?” say Grandpa. “Luckily, Carlo was feeling better so they let him in. And that’s why we live here today and not in Italy.”“That was a cool story, Grandpa!” says Henry. “I have an idea. Let’s take a trip to Italy, by airpl ane.”72. Where did Carlo’s family move to when he was 10?73. When do Henry and his parents visit a different country?74. How can one get to Ellis Island from Italy in about nine hours?75. What was Carlo’s feeling when doctors checked him at Ellis Island?76. Why does Henry want to take a trip to Italy?VII. Writing (写作)(共10 分)77. Write at least 50 words about the topi c “I want to be a(n) (job)”.(请按下列要求,以“我想成为一名_(职业)”为题写话,不少于50 词,标点符号不占格。
上海市静安区2019-2020学年第一学期期末教学质量调研 七年级语文试题(Word版 有答案)
静安区2019学年第一学期期末教学质量调研七年级语文试卷(满分100分,时间100分钟)1.本试卷共23题,全卷书写分3分。
2.请将所有答案做在答卷的指定位置上,做在试卷上一律不计分。
第一部分积累与运用(22分)一、基础知识(6分)1.下列加点字读音完全正确的一项是()A.应和 hè掺和heB.称职 chèng 凌乱língC.粗犷kuàng 鄙薄bóD.着落zhuó蜷伏quán2.下列词语中没有错别字的一项是()A.侍弄决别咄咄逼人B.晕眩淋漓油然而升C.帐篷溜达拈轻怕重D.炫耀怂勇神采奕奕3.下列加点字意思相同的一项是()A.未若柳絮因风起——求闻之若此B.学而时习之——年与时驰C.太丘舍去——其人舍然大喜D.恐前后受其敌——狼不敢前二、默写(13分)4.水何澹澹,___________________。
(《观沧海》曹操)5.潮平两岸阔,_________________。
(《次北固山下》王湾)6.夕阳西下,___________________。
(《天净沙·秋思》马致远)7._____________________,非宁静无以致远。
(《诫子书》诸葛亮)8.《论语·子张》中子夏说:若能做到“_____________,______________”,那么仁德就在其中了。
9.古诗词中多有借明月抒发思乡怀人之情的诗句,如李白《闻王昌龄左迁龙标遥有此寄》中的“___________________,___________________”两句,将自己对友人的一片深情托付于明月,而杜甫《月夜忆舍弟》中的“露从今夜白,________________”则更为直接地表达了对故乡和亲人的思念。
三、名著阅读(3分)10.最近,班级里开展了“《朝花夕拾》知多少”的名著阅读竞赛活动。
请你根据描述,完成下列题目。
(1)__________(人名)是一个高而瘦的老人,须发都花白了,是城中极方正,质朴,博学的人。
静安区七年级第一学期英语期末教学质量调研试卷(含答案)
静安区七年级第一学期英语期末教学质量调研试卷Part 2 Phonetics, Vocabulary and GrammarII. Choose the best answer(20分)( )25. The SPCA is the Society for the prevention of Cruelty to animals. Which of the following is correct for the underlined word in the sentence?A /səʊ'saɪtɪ/B /sə'saɪtɪ/C /'səsaɪətɪ/D /sə'saɪətɪ/( )26. Which of the following underlined parts is different in pronunciation with others?A Can you help me beat two eggs?B Don’t leave the puppies in the street.C It’s pleasant to go fishing on sunny days.D It’s peaceful to live in the suburbs.( )27. Which of the following word matches the sound /hɪə/?A hearB hairC hareD her( )28. Which of the following is right?A.What are we going to do first?B.Can I help me?C.I have got something to do on Sunday.D.Oh, what a pity!( )29. Iphone 6 is _______ expensive mobile phone to me.A aB anC theD /( )30. He sat next to _______ after he came into the classroom.A IB myC meD mine( )31. We’re looking forward _________ the winter holidays.A inB atC withD to( )32. There _______ a lot of traffic in the city centre.A amB isC areD be( )33. Which sign isn’t the same kind as the others? __________( )34. Lucy, _______ is waiting for you outside the office.A someB anyC someoneD anyone( )35. _________ does mum need to buy for grandma’s birthday?A WhoB WhatC HowD Where( )36. I won’t sing karaoke any ________ because I often have a sore throat.A longB longerC longestD the longest( )37. Thomas lives opposite a No.13 underground station. It’s ________ for him to go to other places.A interestingB noisyC convenientD peaceful( )38. --________ I have some prawn cakes, please?--Yes, of course.A ShallB MayC MustD Need( )39. Ben, you’re getting fatter and fatter, _______you need to change your bad eating habits.A soB ifC becauseD when( )40. Look, Jessie, I ________ a present from my parents.A getsB gotC has gotD have got( )41. I hope to _______ my penfriend after he gets my letter.A talk aboutB look afterC think aboutD hear from( )42. You should watch ________ TV to protect your eyes.A moreB lessC muchD fewer( )43. --I like the noodles the restaurant sells. It has been introduced by A bite of China.--________.A Yes, I do.B So do I.C No, I don’t.D Neither do I.( )44. --Let’s go to the movies tonight.--__________.Which answer is not right?A That’s a good idea.B Yes, that’ll be fun.C That’s great!D Yes, I will.III. Complete the following passage with the words or phrases in the box. Each can only be used once.(5分)Calling all panda lovers around the world! Here's the dream job you've been waiting for!Now the Giant Panda Protection and Research Center(中国大熊猫保护与研究中心)in Sichuan Province is 45_ panda nannies(保姆).If you want to apply for (应聘) the job, you should be 22 years old or older and __46__ taking photos. You should also need to know about pandas."Your work is easy, " organizers said. "You only need to _47_ pandas and take photos of them every day. "The panda nannies will _48_ 200,000 yuan a year and will have free food to eat and free houses to live in. The job _49_ great, doesn't it?IV. Complete the sentences with the given words in their proper forms(5分)50. What’s your ________?(national)51. A few _______ came to visit our school yesterday.(Canada)52. Road signs keep us _______ while driving on highways and streets.(safely)53. I got up very early this morning and ________ up my bedroom. Look! It’s clean now.(untidy)54. Betty, now you can choose from MOOCS(大规模在线开放课程)and study by_______ outside school.(you)V.Rewrite the following sentences as required(12分)55. Rose often ate too many instant noodles in the past.(保持句意不变)Rose ________ __________ eat too many instant noodles in the past.56. Jimmy wants to drink some lemonade. I want to drink some lemonade, too. (合并为一句) ________ Jimmy _______ I want to drink some lemonade.57.Let's go to Kingfisher Frozen Food Factory together.(保持句意不变)________ ________go to Kingfisher Frozen Food Factory together?58.They are going to have an international food festival to raise money for the SPCA.(对划线部分提问)_________ ________they going to have an international food festival?59. The ancient building is north of our school.(对划线部分提问)_________ ________ the ancient building?60.Mum goes to the shopping centre once a week.(对划线部分提问)_________ _________ does mum go to the shopping centre?Part 3 Reading and WritingVI. Reading comprehension (共26分)A. Choose the best answer (根据短文内容,选择最恰当的答案) (s分)Dabbawallahs are sometimes also called "Tiffin Men". It comes from Hindi (印地语)which means " lunchbox deliverymen".It's lunchtime in Mumbai, India (population: 12 million), and students and business people around the city have to make a choice. Should they go to a restaurant or eat a hot lunch from home? Today, many can choose the second option, thanks to the Dabbawallahs.Every day, 5000 Dabbawallahs deliver 200,000 lunches to people all over Mumbai. The Dabbawallahs work together. They pick up a person's lunch from his or her house (or a restaurant). They put the bot lunch in a special box (called a "tiffin"). Then they bring the lunch to the person's office or school by 12:30. The men travel long distances (many kilometers a day) on bicycle, train, and foot to deliver the lunchboxes on time.Many of the deliverymen are poor. Most cannot read. They use a special system(系统) or colors and lines to write a person's name and address on a lunchbox.There are many challenges(挑战) (traffic, bad weather, long distances). but the men are never late. Also, for every l0,000 lunches they deliver, they make only one mistake (错误)The Dabbawallahs do so well that some teach classes at business schools around the world!61. Dabbawallahs are the people who_________。
2025届上海市静安区、青浦区数学七年级第一学期期末学业水平测试试题含解析
2025届上海市静安区、青浦区数学七年级第一学期期末学业水平测试试题注意事项1.考生要认真填写考场号和座位序号。
2.试题所有答案必须填涂或书写在答题卡上,在试卷上作答无效。
第一部分必须用2B 铅笔作答;第二部分必须用黑色字迹的签字笔作答。
3.考试结束后,考生须将试卷和答题卡放在桌面上,待监考员收回。
一、选择题(每小题3分,共30分)1.已知622x y 和313m n x y -是同类项,则2m n +的值是( ) A .6 B .5 C .4 D .22.如图,从边长为()4a cm +的大正方形纸片中剪去一个边长为()1a cm +的小正方形()0a >,剩余部分沿虚线剪开,拼成一个矩形(不重叠无缝隙),则矩形的面积为( )A .()225a a cm +B .()2325a cm + C .()2321a cm + D .()221a a cm + 3.如图,将△ABC 绕点A 按逆时针方向旋转100°得到△AB ′C ′(点B 的对应点是点B ′,点C 的对应点是点C ′),连接BB ′,若AC ′∥BB ′,则∠C ′AB ′的度数为( )A .20°B .30°C .40°D .45°4.一架长10m 的梯子斜靠在培上,梯子底端到墙的距高为6m .若梯子顶端下滑1m ,那么梯子底端在水平方向上滑动了( )A .1mB .小于1mC .大于1mD .无法确定5.下列各数,﹣3,π,﹣15,038,0.010010001…(每相邻两个1之间0的个数依次多1),其中无理数的个数是( )A .1B .2C .3D .4 6.下列判断:①2πxy -不是单项式;②3x y -是多项式;③0不是单项式;④1x x + 是整式.其中正确的有( )A .2个B .1个C .3个D .4个7.下列运算正确的是( )A .235x x x +=B .236x x x ⋅=C .633x x x ÷=D .()23636x x =8.下列代数式中,单项式的个数是( )①23x y - ; ②x y ; ③2x ; ④a -; ⑤21x +; ⑥1π; ⑦27x y -; ⑧1. A .3个 B .4个 C .5个 D .6个9.如图,线段AB CD =,那么AC 与BD 的大小关系为( )A .AC BD <B .AC BD > C .AC BD = D .无法判断10.已知关于x 的方程432x m -=的解是x m =,则m 的值为( )A .2B .-2C .27D .27- 二、填空题(本大题共有6小题,每小题3分,共18分)11.x 与0030x -的和是__________.12.直线AB 与CD 相交于点O ,若,∠+∠=∠+∠AOC BOD AOD BOC 则AOC ∠=__________︒13.单项式2323x y -的系数是__________,次数是___________. 14.计算的结果等于______.15.如图,有一个高为6的圆柱体,现将它的底面圆周在数轴上滚动在滚动前,圆柱底面圆周上有一点A 和数轴上表示的﹣1重合,当圆柱滚动一周时,A 点恰好落在了表示3的点的位置,则这个圆柱的侧面积是_____.16.若一个角的度数是60°28′,则这个角的余角度数是_____.三、解下列各题(本大题共8小题,共72分)17.(8分)某超市为了回馈广大新老客户,元旦期间决定实行优惠活动.优惠一:非会员购物时,所有商品均可享受九折优惠;优惠二:交纳200元会费成为该超市的会员,所有商品可享受八折优惠.(1)若用x 表示商品价格,请你用含x 的式子分别表示两种购物方式优惠后所花的钱数.(2)当商品价格是多少元时,用两种方式购物后所花钱数相同?(3)若某人计划在该超市购买一台价格为2700元的电脑,请分析选择哪种优惠方式更省钱.18.(8分)如图,点C是线段AB外一点.按下列语句画图:(1)画射线CB;(2)反向延长线段AB;(3)连接AC;(4)延长AC至点D,使CD AC.19.(8分)某商场开展春节促销活动出售A、B两种商品,活动方案如下两种:方案一A B每件标价90元100元每件商品返利按标价的30% 按标价的15% 例如买一件A商品,只需付款90(1﹣30%)元方案二所购商品一律按标价的20%返利(1)某单位购买A商品30件,B商品20件,选用何种方案划算?能便宜多少钱?(2)某单位购买A商品x件(x为正整数),购买B商品的件数是A商品件数的2倍少1件,若两方案的实际付款一样,求x的值.20.(8分)如图,点B是线段AC上一点,且AB=24cm,BC=13 AB,(1)试求出线段AC的长;(2)如果点O是线段AC的中点,请求线段OB的长.21.(8分)在数轴上,点A,B,C表示的数分别是-6,10,1.点A以每秒3个单位长度的速度向右运动,同时线段BC以每秒1个单位长度的速度也向右运动.(1)运动前线段AB的长度为________;(2)当运动时间为多长时,点A和线段BC的中点重合?(3)试探究是否存在运动到某一时刻,线段AB=12AC ?若存在,求出所有符合条件的点A 表示的数;若不存在,请说明理由. 22.(10分)由大小相同的小立方块搭成的几何体如图,请在下图的方格中画出该几何体的俯视图和左视图.23.(10分)一个由若干小正方形堆成的几何体,它从正面看和从左面看的图形如图1所示.()1这个几何体可以是图2中甲,乙,丙中的______;()2这个几何体最多由______个小正方体堆成,最少由______个小正方体堆成;()3请在图3中用阴影部分画出符合最少情况时的一个从上面往下看得到的图形.24.(12分) (1) 计算: 232019322()(8)()(1)43-⨯-+-÷--- (2) 解方程: 3157146x x ---=参考答案一、选择题(每小题3分,共30分)1、A【分析】由622x y 和313m n x y -是同类项,可知相同字母的指数相同,据此列式求出m 和n 的值,然后代入计算即可.【详解】由题意得,3m =6,n =2,∴m =2,∴22226m n +=⨯+=故选A.【点睛】本题考查了利用同类项的定义求字母的值,熟练掌握同类项的定义是解答本题的关键,所含字母相同,并且相同字母的指数也相同的项,叫做同类项,根据相同字母的指数相同列方程(或方程组)求解即可.2、B【分析】利用大正方形的面积减去小正方形的面积即可,解题时注意平方差公式的运用.【详解】解:长方形的面积为:(a+4)2-(a+1)2=(a+4+a+1)(a+4-a-1)=3(2a+5),故选B.【点睛】此题考查了平方差公式的几何背景,图形的剪拼,关键是根据题意列出式子,运用平方公式进行计算,要熟记公式. 3、C【分析】先根据旋转的性质可得''100,BAB AB AB ∠=︒=,再根据等腰三角形的性质可得'AB B ∠的度数,然后根据平行线的性质即可得出答案.【详解】由旋转的性质得:''100,BAB AB AB ∠=︒= '''1(180)402AB B ABB BAB ∴∠=∠=︒-∠=︒ 又''//AC BB'''40C AB AB B ∴∠=∠=︒故选:C .【点睛】本题是一道较为简单的综合题,考查了旋转的性质、等腰三角形的性质(等边对等角)、平行线的性质(两直线平行,内错角相等),熟记各性质是解题关键.4、C【分析】根据题意作图,利用勾股定理即可求解.【详解】根据题意作图如下,AB=DE=10,CB=6,BD=1∴221068AC=-=当梯子顶端下滑1m,则CE=7,CD= 2210751-=∴梯子底端在水平方向上滑动的距离是516->1m故选C.【点睛】此题主要考查勾股定理,解题的关键是根据题意作图分析求解.5、B【分析】无理数就是无限不循环小数.理解无理数的概念,一定要同时理解有理数的概念,有理数是整数与分数的统称.即有限小数和无限循环小数是有理数,而无限不循环小数是无理数.由此即可判定选择项.382,∴在﹣3,π,﹣15,038,0.010010001…(每相邻两个1之间0的个数依次多1)中,无理数有π,0.010010001…(每相邻两个1之间0的个数依次多1)共2个.故选:B.【点睛】本题考查了数的分类,理解有理数与无理数的概念是解题的关键.6、B【分析】根据单项式、多项式及整式的定义,结合所给式子即可得出答案.【详解】(1) 2πxy -是单项式,故(1)错误; (2) 3x y -是多项式,故(2)正确; (3)0是单项式,故(3)错误; (4)1x x +不是整式,故(4)错误; 综上可得只有(2)正确.故选B.【点睛】此题考查单项式,整式,多项式,解题关键在于掌握各性质定义.7、C【分析】分别依据同类项概念、同底数幂的乘法、幂乘方与积的乘方和同底数幂的除法法则逐一计算即可.【详解】A 选项:2x 与3x 不是同类项,不能合并,故A 错误;B 选项:232356x x x x x +⋅==≠,故B 错误;C 选项:63633x x x x -÷==,故C 正确;D 选项:()2332663996x x x x ⨯==≠,故D 错误. 故选:C .【点睛】本题主要考查幂的运算,解题的关键是掌握同类项概念、同底数幂的乘法、幂的乘方与积的乘方和同底数幂的除法法则.8、C【分析】单独的数字或字母,或数字与字母的乘积是单项式,根据定义解答. 【详解】是单项式的有:③2x ;④a -;⑥1π;⑦27x y -;⑧1. 故选:C .【点睛】此题考查单项式的定义:单独的数字或字母,或数字与字母的乘积是单项式,熟记定义是解题的关键. 9、C【分析】根据线段的和差及等式的性质解答即可.【详解】∵AB CD =,∴AB BC CD BC +=+,∴AC BD =.故选C.【点睛】本题考查了线段的和差,以及等式性质的应用,仔细观察图形找出线段之间的数量关系是解答本题的关键. 10、A【分析】将x=m 代入方程432x m -=,解关于m 的一元一次方程即可.【详解】解:∵关于x 的方程432x m -=的解是x m =,∴4m-3m=1,∴m=1.故选:A .【点睛】本题考查一元一次方程的解,熟练掌握方程解的定义是解题的关键二、填空题(本大题共有6小题,每小题3分,共18分)11、0070x【分析】根据题意列出代数式解答即可.【详解】x 与−30%x 的和是x−30%x =70%x ;故答案为:70%x .【点睛】此题考查了列代数式,关键是读懂题意,找出题目中的数量关系,列出代数式.12、90【分析】由周角的定义和已知条件可求得=180∠+∠︒AOC BOD ,再利用对顶角的性质可得出答案.【详解】解:∵,∠+∠=∠+∠AOC BOD AOD BOC又∵+=360∠+∠∠+∠︒AOC BOD AOD BOC ,∴2()=360∠+∠︒AOC BOD ,∴=180∠+∠︒AOC BOD ,∵AOC ∠和BOD ∠为对顶角,∴==90∠∠︒AOC BOD ,故答案为:1.【点睛】本题主要考查了对顶角,熟练掌握对顶角的性质是解此题的关键.13、23- 1【分析】根据单项式系数和次数的定义:单项式中的数字因数叫做单项式的系数,一个单项式中所有字母的指数的和叫做单项式的次数解答即可.【详解】解:单项式2323x y-的系数是23-,次数是1,故答案为:23-,1.【点睛】本题考查单项式的知识,熟知单项式中的数字因数叫做单项式的系数,一个单项式中所有字母的指数的和叫做单项式的次数是解题的关键.14、x.【解析】利用积的乘方法则:把每一个因式分别乘方,再把所得的幂相乘,进而得出答案.【详解】=x .故答案为:x.【点睛】此题考查积的乘方,解题关键在于掌握运算法则.15、1【解析】依题意可知底面圆的周长为4,而圆柱体的高为6,根据侧面积=底面周长×高求解.【详解】∵|-1-3|=4,∴圆柱体的周长为3-(-1)=4,高=6,∴圆柱体的侧面积=底面周长×高=4×6=1.故答案为:1.【点睛】本题考查的是实数与数轴,熟知实数与数轴上各点是一一对应关系是解答此题的关键.16、29°32′【分析】如果两个角的和等于90°(直角),就说这两个角互为余角,根据余角的定义即可直接求解.【详解】解:这个角的余角度数为:90°﹣60°28′=29°32′.故答案是:29°32′.【点睛】本题考查了余角的定义,若两个角的和等于90°,就说这两个角互为余角.三、解下列各题(本大题共8小题,共72分)17、(1)方案一的金额:90%x;方案二的金额:80%x+1.(2)10元;(3)方案二更省钱.【解析】试题分析:(1)根据题意分别得出两种优惠方案的关系式即可;(2)利用(1)中所列关系式,进而解方程求出即可;(3)将已知数据代入(1)中代数式求出即可.试题解析:(1)由题意可得:优惠一:付费为:0.9x,优惠二:付费为:1+0.8x;(2)当两种优惠后所花钱数相同,则0.9x=1+0.8x,解得:x=10,答:当商品价格是10元时,两种优惠后所花钱数相同;(3)∵某人计划在该超市购买价格为2700元的一台电脑,∴优惠一:付费为:0.9x=2430,优惠二:付费为:1+0.8x=2360,答:优惠二更省钱.考点:1.一元一次方程的应用;2.列代数式.18、(1)答案见解析;(2)答案见解析;(3)答案见解析;(4)答案见解析.【分析】(1)根据射线的定义即可得出答案;(2)沿BA方向延长即可得出答案;(3)连接AC即可得出答案;(4)沿AC方向延长,使AC=CD即可得出答案.【详解】解:(1)(2)(3)(4)如图所示:【点睛】本题考查的是射线、线段,比较简单,需要熟练掌握相关定义与性质.19、(1)选用方案一更划算,能便宜170元;(2)某单位购买A商品x件(x为正整数),购买B商品的件数是A商品件数的2倍少1件,若两方案的实际付款一样,x的值为1.【解析】试题分析:(1)分别求出方案一和方案二所付的款数,然后选择省钱的方案,求出所省的钱数;(2)分别表述出方案一和方案二所需付款,根据两方案的实际付款一样,求出x的值.试题解析:(1)方案一付款:30×90×(1﹣30%)+20×100×(1﹣11%)=3190(元),方案二付款:(30×90+20×100)×(1﹣20%)=3760(元),∵3190<3760,3760﹣3190=170(元),∴选用方案一更划算,能便宜170元;(2)设某单位购买A商品x件,则方案一需付款:90(1﹣30%)x+100(1﹣11%)(2x﹣1)=233x﹣81,方案二需付款:[90x+100(2x﹣1)](1﹣20%)=232x﹣80,当x=a件时两方案付款一样可得,233x﹣81=232x﹣80,解得:x=1,答:某单位购买A商品x件(x为正整数),购买B商品的件数是A商品件数的2倍少1件,若两方案的实际付款一样,x的值为1.20、(1)AC=32cm ;(2)OB=8cm.【分析】(1)由B在线段AC上可知AC=AB+BC,把AB=24cm,BC=13AB=8cm代入即可求出结论;(2)根据O是线段AC的中点及AC的长可求出CO的长,由OB=CO−BC即可得出结果.【详解】解:(1)∵AB=24cm,BC=13 AB,∴BC=8cm,∴AC=AB+BC=24+8=32cm;(2)由(1)知:AC=32cm,∵点O是线段AC的中点,∴CO=12AC=12×32=16cm,∴OB=CO−B C=16−8=8cm.【点睛】本题考查了与线段中点有关的计算问题,掌握线段的中点的性质、线段的和、差、倍的运算是解题的关键.21、(1)16;(2)172;(3)15或2.【分析】(1)根据两点间的距离公式即可求解;(2)先根据中点坐标公式求得B、C的中点,再设当运动时间为x秒长时,点A和线段BC的中点重合,根据路程差的等量关系列出方程求解即可;(3)设运动时间为y秒,分两种情况:①当点A在点B的左侧时,②当点A在线段AC上时,列出方程求解即可.【详解】(1)运动前线段AB的长度为10﹣(﹣6)=16;(2)设当运动时间为x秒长时,点A和线段BC的中点重合,依题意有﹣6+3t=11+t,解得t=故当运动时间为秒长时,点A和线段BC的中点重合(3)存在,理由如下:设运动时间为y秒,①当点A在点B的左侧时,依题意有(10+y)﹣(3y﹣6)=2,解得y=7,﹣6+3×7=15;②当点A在线段BC上时,依题意有(3y-6)-(10+y)=解得y=综上所述,符合条件的点A表示的数为15或2.【点睛】本题考查了实数与数轴的知识点,解题的关键是熟练的掌握实数与数轴的相关知识点.22、见解析【分析】俯视图时,最左边叠起来的两个立方体只剩下一个面,而另外三个立方体,在俯视时,都只看到一个面;左视图时,最左边两个重叠的立方体,可以看到有两个正方形的面,而靠前端的正方体有一个正方形的面【详解】解:如图所示:【点睛】本题较为容易,需要注意的是在做三视图时要观察好每一个立方体,不要弄错23、(1)甲,乙;(2)9,7;(3)答案见解析.【解析】()1依据甲和乙的主视图和左视图如图1所示,丙的左视图与图1不符,即可得到结论;()2若几何体的底层有6个小正方体,则几何体最多由9个小正方体组成;若几何体的底层有4个小正方体,则几何体最少由7个小正方体组成;()3依据几何体的底层有4个小正方体,几何体最少由7个小正方体组成,即可得到几何体的俯视图.【详解】()1图2中,甲和乙的主视图和左视图如图1所示,丙的左视图与图1不符,故答案为:甲,乙;()2由图1可得,若几何体的底层有6个小正方体,则几何体最多由9个小正方体组成;若几何体的底层有4个小正方体,则几何体最少由7个小正方体组成;故答案为:9,7;()3符合最少情况时,从上面往下看得到的图形如下:(答案不唯一)【点睛】本题考查了简单组合体的三视图,画简单组合体的三视图要循序渐进,通过仔细观察和想象,再画它的三视图.x=-24、(1)31;(2)1【分析】(1)先乘方,后乘除,最后计算加减;(2)去分母,去括号,移项,合并同类项,系数化为1即可.【详解】(1) 232019322()(8)()(1)43-⨯-+-÷---3274()(8)()(1)48=-⨯-+-⨯--- 3271=++31=;(2)去分母得:3(31)2(57)12x x ---=,去括号得:93101412x x --+=,移项得:91012314-=+-x x ,合并同类项得:1x -=,把x 的系数化为1得:1x =-.【点睛】本题考查了有理数的混合运算以及解一元一次方程,熟练掌握运算法则是解本题的关键.。
上海市静安区2023-2024学年度第一学期期末教学质量调研(含解析)
静安区2023-2024学年度第一学期期末教学质量调研九年级物理试卷(本卷满分100分:完卷时间60分钟)考生注意:1.本调研试卷含五个大题。
2.考生务必按要求在答题纸规定的位置上作答,在其他纸张上答题一律无效。
一、单项选择题(共16分)下列各题均只有一个正确选项,请将所选选项的代号用2B铅笔填涂在答题纸的相应位置上,更改答案时,用橡皮擦去,重新填涂。
1.上海地区,家用电视机工作时的电压为()A.1.5伏B.24伏C.110伏D.220伏2.下列物质中,其密度跟人体密度最接近的是( )A.水B.铜C.空气D.水银3.下列实例中,属于增大压强的是()A.图钉钉帽宽大B.铁轨下铺枕木C.刀刃磨得锋利D.坦克车装有履带4.根据连通器的原理,下列情形中,当水面静止时,液面的位置符合事实的是()A.U形管中的液面位置B.茶壶倾斜时,壶身和壶嘴中的液面位置C.下水道存水弯中的液面位置D.锅炉液位计液面的位置5.关于条形磁体及其磁场,下列描述中正确的是()A.条形磁体可以吸引铝块B.条形磁体两端的磁性最强A .C .8.在如图所示的电路中,A .电流表A 的示数,p p F F <<乙乙甲甲,p p F F =<甲乙甲乙(1)根据图中的图线,可以发现:无人机从B点到C点的飞行过程中,大气压强变化18.在如图电路中缺少两根导线,请按要求用笔线代替导线完成电路连接。
要求开关S后,向右移动变阻器的滑片时,电压表的示数变大。
21.在如图所示的电路中,电源电压保持不变,电阻22.均匀圆柱体甲、乙分别竖直置于水平地面上,两圆柱体的质量、密度和底面积见下表。
25.小华同学做“用电流表、电压表测电阻”实验。
现有电源(电压为R持不变)、待测电阻、电流表、电压表、待用滑动变阻器有两种规格(分别标有表一圆柱体密度1.D【详解】我国家庭电路的电压为220V,各家用电器之间是并联关系,故上海地区,家用电视机工作时的电压为220V,故ABC不符合题意,D符合题意。
静安区2020学年第一学期期末教学质量调研初三数学试卷(含答案)
静安区2020学年第一学期期末教学质量调研九年级数学试卷 2021.1(完成时间:100分钟 满分:150分 )考生注意:1.本试卷含三个大题,共25题.答题时,考生务必按答题要求在答题纸规定的位置上作答,在草稿纸、本试卷上答题一律无效;2.除第一、二大题外,其余各题如无特别说明,都必须在答题纸的相应位置上写出证明或计算的主要步骤; 3. 答题时需使用函数型计算器.一、选择题:(本大题共6题,每题4分,满分24分) 1.如果0a ≠,那么下列计算正确的是(A )0()0a =-; (B )01a =--(); (C )01a -=; (D )01a =--.2.下列多项式中,是完全平方式的为 (A )214x x -+; (B )21124x x++; (C )21144x x +-; (D )21144x x -+. 3.将抛物线3)1(22-+=x y 平移后与抛物线22x y =重合,那么平移的方法可以是 (A )向右平移1个单位,再向上平移3个单位; (B )向右平移1个单位,再向下平移3个单位; (C )向左平移1个单位,再向上平移3个单位; (D )向左平移1个单位,再向下平移3个单位.4.在△ABC 中,点D 、E 分别在边BA 、CA 的延长线上,下列比例式中能判定DE //BC的为 (A )BC AB DE AD =; (B )AC AB AD AE =; (C )AC AB CE BD =; (D )AC BD AB CE=.5.如果锐角α,那么下列结论中正确的是 (A )︒=30α; (B )︒=60α; (C )︒<<︒4530α; (D )︒<<︒6045α.6.在Rt △ABC 中,∠C =90°,CD 是高,如果AB =m ,∠A =α, 那么CD 的长为 (A )sin tan m αα⋅⋅; (B )sin cos m αα⋅⋅; (C )cos tan m αα⋅⋅; (D )cos cot m αα⋅⋅.二、填空题:(本大题共12题,每题4分,满分48分) 7.32的相反数是 ▲ . 8.函数()f x 的定义域为 ▲ .92x =-的根为 ▲ .10.二次函数223y x x =-图像的开口方向是 ▲ . 11.抛物线236y x =-的顶点坐标为 ▲ .12.如果一次函数(2)1y m x m =-+-的图像经过第一、二、四象限,那么常数m 的取值范围为 ▲ .13.在二次函数223y x x =-+图像的上升部分所对应的自变量x 的取值范围是 ▲ . 14.如图,在△ABC 中,点D 、E 分别在边AB 、AC 上,∠AED =∠B ,如果AD =2,AE =3,CE =1,那么BD 长为 ▲ . 15.在△ABC 中,点G 是重心,∠BGC =90°,BC =8,那么AG 的长为 ▲ .16. 如图,在△ABC 中,点D 、E 分别在边AB 、AC 上,DE //BC , 如果AB =12,BC =9,AC =6,四边形BCED 的周长为21,那么 DE 的长为 ▲ .17.如图,在梯形ABCD 中,AD //BC ,BD 与AC 相交于点O ,OB =2OD ,设=,AD b =,那么AO = ▲ . (用向量a 、b 的式子表示)18. 在Rt △ABC 中,∠C =90°,AB =13,2tan 3B =(如图),将 △ABC 绕点C 旋转后,点A 落在斜边AB 上的点A ’,点B 落在 点B ’,A ’B ’与边BC 相交于点D ,那么CDA'D的值为 ▲ .三、解答题:(本大题共7题,满分78分) 19.(本题满分10分)计算:cot30cos45sin 60tan 45︒-︒︒-︒.(第17题图)(第18题图)BACED(第14题图)B AC ED (第16题图)20.(本题满分10分)已知线段x 、y 满足2x y x x y y +=-,求xy的值.21.(本题满分10分, 其中每小题5分)如图,点A 、B 在第一象限的反比例函数图像上,AB 的延长线与y 轴交于点C ,已知点A 、B 的横坐标分别为6、2,AB =25.(1)求∠ACO 的余弦值; (2)求这个反比例函数的解析式. 22.(本题满分10分)如图,一处地铁出入口的无障碍通道是转折的斜坡,沿着坡度相同的斜坡BC 、CD 共走7米可到出入口,出入口点D 距离地面的高DA 为0. 8米,求无障碍通道斜坡的坡度与坡角(角度精确到1' ,其他近似数取四个有效数字).23.(本题满分12分,其中每小题6分)已知:如图,在△ABC 中,点D 、E 分别在边AB 、AC 上,DE ∥BC ,2AD AE AC =⋅.求证:(1)△BCD ∽△CDE ;(2)AB ADBCCD =22.BC AOyx(第21题图)(第22题图) A D C BDABCD CB A E (第23题图)24.(本题满分12分,其中每小题4分)如图,在平面直角坐标系xOy 中,直线102y x m m =-+>()与x 轴、y 轴分别交于点A 、B .抛物线24y ax bx =++(a ≠ 0)经过点A ,且与y 轴相交于点C ,∠OCA =∠OAB .(1)求直线AB 的表达式;(2)如果点D 在线段AB 的延长线上,且AD=AC .求经过点D 的抛物线24y ax bx =++的表达式;(3)如果抛物线24y ax bx =++的对称轴与线段AB 、AC 分别相交于点E 、F ,且EF =1,求此抛物线的顶点坐标.25.(本题满分14分,其中第(1)小题5分,第(2)小题5分,第(3)小题4分)已知∠MAN 是锐角,点B 、C 在边AM 上,点D 在边AN 上,∠EBD =∠MAN ,且 CE //BD ,sin ∠MAN=35,AB =5,AC =9. (1)如图1,当CE 与边AN 相交于点F 时,求证:DF ·CE=BC ·BE ; (2)当点E 在边AN 上时,求AD 的长;(3)当点E 在∠MAN 外部时,设AD =x ,△BCE 的面积为y ,求y 与x 之间的函数解析式,并写出定义域.(第24题图)(第25题图)(备用图)(图1)FABDC E NM静安区2020学年第一学期期末教学质量调研九年级数学试卷参考答案及评分说明2021.1 一、选择题: 1.D ; 2.A ; 3.A ; 4.C ; 5.C ; 6.B .二、填空题: 7.32-; 8.2x <; 9.1x =;10.向下; 11.(0, 6-); 12.12m <<; 13.1x >; 14. 4; 15.8; 16.6; 17.1233a+b ; 18三、解答题:19.解:原式=··········································································· (4分)································································ (3分)6. ···························································· (3分)20.解:222xy y x xy +=-, ··········································································· (2分)2230x xy y --=, ············································································ (2分) ∵0y ≠,∴22310x xy y--=, ···························································· (2分)∴x y =, ············································································· (2分)∵负值不符合题意,∴x y =. ·················································· (2分) 21.解:(1)分别过点A 、B 作AD ⊥y 轴,BE ⊥x 轴,垂足分别为D 、E ,AD 、BE相交于点H . ············································································· (1分) ∵BE//y 轴,∴∠ACO=∠ABH ,∠AHB=∠ADC =90°. ∵点A 、B 的横坐标分别为6、2,∴AH =4. ···································· (1分)在Rt △ABH 中,∵BH2. ················· (1分)cos cos BH ACO=ABH AB ∠∠===. ····································· (2分)(2)设反比例函数的解析式为(0)ky k x=≠, ············································ (1分) 设点A (6,6k ),则B (2,2k ) , ······················································· (1分) ∴226k k-=, ················································································ (1分) ∴6k =. ······················································································ (1分)∴反比例函数解析式为6y x=. ·························································· (1分)22.解:(1)延长DC 、AB 相交于点E . ························································· (1分)∵斜坡BC 、CD 的坡度相同,∴∠CEB =∠CBE ,∴CE =CB . ··················· (2分) ∴DE =DC +CB =7米. ··································································· (1分)在Rt △ADE 中,AE = 6.9541(米). ················ (2分)∴ i =AD :AE =0.8:6.9541≈1:8.693. ················································· (2分)∵tan ∠AED =AD :AE ≈0.11504,∴∠AED ≈6°34 '. ································· (1分)答:无障碍通道的坡度约为1∶8.693,坡角约为6°34 '. ······························· (1分)23.证明:(1)∵AC AE AD ⋅=2,∴ADACAE AD =. ·············································· (1分) 又∵∠A =∠A ,∴△ADE ∽△ACD . ············································ (1分) ∴∠ADE =∠ACD , ·································································· (1分) ∵DE ∥BC ,∴∠EDC =∠DCB ,∠B =∠ADE , ······························ (1分) ∴∠B =∠ACD , ······································································ (1分) ∴△BCD ∽△CDE . ································································ (1分)(2)∵△BCD ∽△CDE ,∴CD DEBC CD =. ·············································· (2分) ∴22CD CD CD CD DE DE =BC BC BC BC CD BC=⋅⋅=. ············································· (2分) ∵DE ∥BC ,∴DE ADBC AB=. ························································· (1分) ∴ABADBC CD =22. ········································································· (1分)24.解:(1)∵直线12y x m =-+与x 轴、y 轴分别交于点A (2m ,0)、B (0,m ). ···· (1分)∴ OA =2m ,OB =m .∵∠OCA =∠OAB ,∴tan ∠OCA =tan ∠OAB=OA OC =12OB OA =. ··················· (1分) ∵24y ax bx =++(a ≠ 0)经过点C (0,4),OC =4.∴ OA =2,OB =1. ·········································································· (1分)∴直线AB 的表达式为112y x =-+. ··················································· (1分) (2)过点D 作DG ⊥x 轴,垂足为G ,∵ ∠DGA =∠AOC =90︒,∠DAG =∠ACO ,AD=AC ,∴△DGA ≌△AOC . ······································································ (1分)∴ DG =AO =2,AG =OC =4,OG =2,∴点D (2-,2). ·························· (1分) ∵抛物线42++=bx ax y 经过点A 、D ,∴0424,2424,=a b a b ++⎧⎨=-+⎩ ·········································································· (1分)∴3,412a b .⎧=-⎪⎪⎨⎪=-⎪⎩∴抛物线的表达式为231442y x x =--+. ···························· (1分)(3)设抛物线的对称轴FE 与OA 交于点H , ∵ EF //OC ,∴13AH AE EF AO AB BC ===,AH =23,OH =43.························· (1分) ∴0424,4,23=a b b a ++⎧⎪⎨-=⎪⎩ ·········································································· (1分)∴3,8a b .=⎧⎨=-⎩∴抛物线的表达式为2384y x x =-+. ·································· (1分)当43x =时,43y =-,抛物线的顶点坐标为44)33(,-. ·························· (1分)25.解:(1)∵ CE //BD ,∴ ∠CEB =∠DBE ,∠DBA =∠BCE . ························· (1分)∵∠A=∠DBE ,∴ ∠A =∠BEC .∴ △ABD ∽△ECB . ························· (1分)∴AD EBAB EC =. ··············································································· (1分) ∵AD DF AB BC =, ··············································································· (1分) ∴EB DF EC BC =,∴ DF ·CE=BC ·BE . ···················································· (1分)(2)过点B 作BH ⊥AN ,垂足为H . ∵ CE//BD ,∴∠CEB =∠EB D =∠A ,又∵∠BCE =∠ECA ,∴△CEB ∽△CAE . ············································ (1分) ∴CE CACB CE =,∴2CE =CB CA ⋅,∵AB =5,AC =9,∴BC =4,∴24936CE ==⨯,∴CE =6. ························· (1分)∵BD ABCE AC =,∴561093AB CE BD ==AC ⋅⨯=. ········································ (1分)在Rt △ABH 中,3sin 535BH AB A =⋅=⨯=,∴ AH4=.DH=.AD=4························· (2分) (3)过点B 作BH ⊥AN ,垂足为H .BH =4,AH =3,DH =4x -.2222224)3825BD =DH +BH x x x =-+=-+(.···································· (1分)∵△ECB ∽△ABD ,∴22EBC ADB S BC S BD △△=. ················································ (1分) ∵322ABD S AD BH x =⋅△1=,∴21638252y x x x =-+, ······························· (1分) ∴224825x y x x =-+.定义域为44x <<+. ··························· (1分)。
上海市静安区2022届数学七上期末模拟教学质量检测试题(一)
上海市静安区2022届数学七上期末模拟教学质量检测试题(一)一、选择题1.如图,点C 、D 是线段AB 上的两点,点D 是线段AC 的中点.若AB=10cm ,BC=4cm ,则线段DB 的长等于( )A.2cmB.3cmC.6cmD.7cm2.下列判断中,正确的是( )①锐角的补角一定是钝角;②一个角的补角一定大于这个角;③如果两个角是同一个角的补角,那么它们相等;④锐角和钝角互补. A.①②B.①③C.①④D.②③3.如图,AD 是∠EAC 的平分线,AD ∥BC ,∠B=30°,则∠C 的度数为( )A .50° B.40° C.30° D.20° 4.解方程2x 13x 4134---=时,去分母正确的是( ) A.4(2x-1)-9x-12=1 B.8x-4-3(3x-4)=12 C.4(2x-1)-9x+12=1D.8x-4+3(3x-4)=125.我国古代名著《九章算术》中有一个问题,原文:“今有凫起南海,七日至北海;雁起北海,九日至南海.今凫雁俱起,问何日相逢?”译文:野鸭从南海起飞,7天后达到北海;大雁从北海起飞,9日后达到南海,今野鸭和大雁分别从南海和北海同时起飞,几天后相遇?设x 天后相遇,可列方程为( ) A.()791x +=B.11179x ⎛⎫+=⎪⎝⎭C.11197x ⎛⎫-=⎪⎝⎭D.11179x ⎛⎫-=⎪⎝⎭6.下列计算中,正确的是( ) A .2a ﹣3a =aB .a 3﹣a 2=aC .3ab ﹣4ab =﹣abD .2a+4a =6a 27.如果设正方形纸的边长为acm ,所折无盖长方体形盒子的高为hcm ,用a 与h 来表示这个无盖长方体形盒子的容积是( ) A .2()a h h -⋅B .2(2)a h h -⋅C .2()a h h +⋅D .2(2)a h h +⋅8.下列说法中正确的是( )A .2x y 4不是整式B .0是单项式C .22πab -的系数是2-D .223xy -的次数是59.在23-、 2.5-- 、1(2)2--、2(3)-- 、3(3)- 中,负数的个数是( )A.1B.2C.3D.4 10.计算-3+1的结果是( )A.-4B.-2C.2D.411.有理数m ,n 在数轴上分别对应的点为M ,N ,则下列式子结果为负数的个数是( ) ①m n +;②m n -;③m n -;④22m n -;⑤33m n .A.2个B.3个C.4个D.5个12.下列变形中: ①由方程125x -=2去分母,得x ﹣12=10; ②由方程29x=92两边同除以29,得x=1; ③由方程6x ﹣4=x+4移项,得7x=0; ④由方程2﹣5362x x -+=两边同乘以6,得12﹣x ﹣5=3(x+3). 错误变形的个数是( )个. A.4 B.3C.2D.1二、填空题13.如图,C 、D 两点将线段AB 分成2:3:4三部分,E 为线段AB 的中点,10AD cm =,则线段DE =______cm .14.如图,长度为12cm 的选段AB 的中点为,M C 为线段MB 上一点,且:1:2MC MB =,则线段AC 的长度为___cm .15.小明沿街道匀速行走,他注意到每隔6分钟从背后驶过一辆1路公交车,每隔4分钟迎面驶来一辆1路公交车.假设每辆1路公交车行驶速度相同,而且1路公交车总站每隔固定时间发一辆车,那么发车间隔的时间是________ 分钟. 16.单项式1325m nx y ---与24yx 的和仍是单项式,则n m =______. 17.如图,在第1个1ABA ∆中,B ∠=40°,11BAA BA A ∠=∠,在1A B 上取一点C ,延长1AA 到2A ,使得在第2个12A CA ∆中,1212A CA A A C ∠=∠;在2A C 上取一点D ,延长12A A 到3A ,使得在第3个23A DA ∆中,2323A DA A A D ∠=∠;…,按此做法进行下去,第3个三角形中以3A 为顶点的内角的度数为_____; 第n 个三角形中以n A 为顶点的内角的度数为_____度.18.一组“数值转换机”按下面的程序计算,如果输入的数是36,则输出的结果为106,要使输出的结果为127,则输入的最小正整数是__________.19.某地气温在早上7点时测得温度为﹣0.5摄氏度,到10点时上升了0.5摄氏度,到中午12点时又上升了0.5摄氏度,则在12点时的温度是________摄氏度. 20.有理数2018的相反数是______________. 三、解答题21.如图1,点为直线上一点,过点作射线,使,将一直角三角板的直角顶点放在点处,一边在射线上,另一边在直线的下方.(1)将图1中的三角板绕点逆时针旋转至图,使一边在的内部,且恰好平分,问:此时直线是否平分?请直接写出结论:直线______(平分或不平分).(2)将图1中的三角板绕点以每秒的速度沿逆时针方向旋转一周,在旋转的过程中,第秒时,直线恰好平分锐角,则的值为_______.(直接写出结果)(3)将图1中的三角板绕点顺时针旋转,请探究:当始终在的内部时(如图3),与的差是否发生变化?若不变,请求出这个差值;若变化,请举例说明.22.如图,C 是线段AB 上一点,M 是AC 的中点,N 是BC 的中点. (1)若AM=1,BC=4,求MN 的长度; (2)若MN=5,求AB 的长度.23.一个长方形的周长为26cm ,如果这个长方形的长减少1cm ,宽增加2cm 就成了一个正方形,则这个长方形的面积是_____. 24.(20分)计算化简 (1)12﹣(﹣6)+(﹣8)+5(2)﹣42×(﹣2)+[(﹣2)3﹣(﹣4)] (3)a+2b+3a ﹣2b(4)2(a ﹣1)﹣(2a ﹣3)+3.25.先化简,再求值:()()()2331a a a +-+-,其中12a =. 26.计算题:(1)23+17+(-7)+(-16);(2)(-514)+(-3.5); (3)(+23)+(-34);(4)23+(-15)+(-1)+13. 27.计算:28.用一根绳子环绕一棵大树.若环绕大树3周,则绳子还多4尺;若环绕大树4周,则绳子又少3尺.这根绳子有多长?环绕大树一周要多少尺?【参考答案】*** 一、选择题13.1cm 14. 15.8 16.9 17.SKIPIF 1 < 0SKIPIF 1 < 0解析:017.5 1702n - 18.15 19.5 20.-2018 三、解答题 21.(1)平分(2)或49(3)不变,22.(1)MN= 3;(2)AB= 10. 23.这个长方形的面积为240cm24.(1)15;(2)28;(3)4a ;(4)4. 25.102a -,926.(1)17(2)-8.75(3)-112(4)-1527.-128.这根绳子有25尺长,环绕大树一周要7尺.。
上海7A静安区-期末-教研(含答案)(1)
静安区2017学年第一学期期末学习质量调研七年级英语2018.1 Part 2 Phonetics, Vocabulary and GrammarⅡ. Choose the best answer.22. Please beat the egg for two minutes and get it ready for the soup. Which of the following is correct for theunderlined part in the word?A. /ɪ/B. /e/C. /i:/D. /eɪ/23. Which of the following underlined parts is different in pronunciation from others?A. The public library is three blocks down the Green Street.B. Dad wants to buy some frozen food on his way home.C. We are going to have a wonderful winter holiday in two weeks.D. Look at the traffic lights. Please cross the road safely.24. Mr. Lin is ____ SPCA officer. He will visit our school tomorrow morning.A. aB. anC. theD. /25. Please add some water _____ the dough, or it will be too dry.A. toB. onC. forD. from26. I bought the little child _____ sweets and the boy looked very happy.A. a piece ofB. a bottle ofC. a pair ofD. a packet of27. Miss Tang is a(n) _____ and she often answers the phone in the office.A. architectB. ambulance workerC. secretaryD. dentist28. I don’t like the color of the scarf, please show me ______ one.A. otherB. anotherC. the othersD. the other29. We shouldn’t watch TV for _______. It’s bad for our eyes.A. too muchB. too manyC. too littleD. too long30. ___ delicious the sea food with garlic tastes!A. HowB. WhatC. What aD. What an31. Mike _____ as a policeman for over 20 years. He keeps our city safe.A. workedB. will workC. is workingD. has worked32. –Would you like a bowl of seafood noodles?–No, thanks. I’d rather _____ some pizza.A. haveB. to haveC. havingD. had33. When I lived in the city center, I _____ the Science Museum very often.A. visitB. visitedC. have visitedD. will visit34. –____ is your project going to be about, Tony?–About keeping a pet.A. HowB. WhichC. WhatD. Who35. It is really cold today, ______ you should wear thick clothes before going out.A. ifB. butC. soD. because36. Miss Liu has never been to Hainan island. _____ her friends.A. So hasB. So haveC. Neither hasD. Neither have37. –Shall we go to the market to buy some food for the picnic tomorrow?–___.A. A good ideaB. I don’t think soC. It’s a pleasureD. No, we can’tA. carriedB. InternetC. far awayD. at leastE. quicklyF. listened toG. slowBefore newspapers, people talked to each other to get news. Then people printed thenews on paper and newspapers appeared. Later they ___38___ the radio for news. Todaywe can watch news on TV and read it on the ___39___ any time we want.TravelPeople long ago walked from place to place or traveled by horse and cart(马车).When they traveled long distances they went by train or ship. It was ___40___ anddifficult. Today we can travel in cars, fast trains, buses, or airplanes to go to places that are ___41___. We can travel to places across the ocean or across the world in a day. Travel is fast and convenient now.Communication(交流)Long ago, people used letters to communicate. They mailed letters to friends and families. Letters were ___42___ by horse and cart, and later by train or boat or by airplane. Today, communication is different. We can send e-mails, text messages, or phone calls to communicate ___43___ with friends and family all over the world.Ⅱ. Complete the sentences with the given words in their proper forms.44. We rescued the dog and her two little ________ from the river.(puppy)45. If you want to visit our library, please go to the _________ floor.(five)46. Tom is a boy of only six, but he can take care of ________.(he)47. David’s parents have planned a trip to _________ for the spring festival.(Canadian)48. A cold drink is often a _________ of milk and juice.(mix)49. Reading some books _________ helps enrich your knowledge.(regular)50. The life in the suburbs is much more _________ than that in the city.(peace)51. We should do something for those ________ animals in cold winter.(home)Ⅱ. Complete the following sentences as required.52. Kitty put the TV set opposite the sofa just now.(改为否定句)Kitty ________ ________ the TV set opposite the sofa just now.53. Students are going to have a food festival in the school next weekend.(对划线部分提问)________ ________ students going to have a food festival in the school?54. Susan would like to keep the lovely cat as her pet.(保持句意基本不变)Susan ________ ________keep the lovely cat as her pet.55. Gary often played coputer games. But now he doesn’t play them any longer.(保持句意基本不变)Gray ________ ________ play computer games. But now he doesn’t play them any longer.56. I, James, soon, hearing from, am looking forward to(连词成句,注意大小写和标点符号)___________________________________________________________________________Part 3 Reading and WritingⅡ. Readign comprehension.A. Choose the best answer.You don’t have much time for your diary, but you really want to remember your important moments in life. Nine Square Diary (九宫格日记) is coming to help you. This new kind of diary has nine squares. And they are about nine different parts in life, such as plans, feelings and health. Writing this diary is just like filling in blanks. I like it because it is so convenient that you can finish it in only a few minutes.The above is a page of Nine Square Diary from Sun Ning, a middle school student.57. You will write down something in the part“_____”when you catch a bad cold.A. PlanB. ProgressC. DreamD. Health58. You are going to buy things for your picnic. It’s a ______.A. feelingB. planC. dateD. progress59. The word“select”in the part of“Progress”probably means _____.A. chooseB. loveC. washD. eat60. Nine Square Diary is really a good way for you to _____.A. help othersB. show your feelingsC. remember important momentsD. have nice dreams61. The writer thinks it a(n) _____ way to write a diary with the help of Nine Squares.A. interestingB. convenientC. differentD. happyB. Choose the best answer and complete the passage.Do you want to be 100 years old? You can learn from the Japanese. There are more than 20,000 men and women over 100 years old in Japan. You may ask,“Why do they ___62___ so long? They have a lot of stress(压力).”Yes. They usually work long hours and change their way in crowded trains. And just like in other countries, many people have bad ___63___--they often drink alcohol and they smoke. What’s more, many people don’t get a lot of sleep, and they hardly ever take holidays. So, what is the secret?Dr. Shibahara, 92, has some ideas.“It’s the diet. The Japanese diet is very ___64___.”People drink green tea two or three times a day. They eat fish two or three times a week and only sometimes eat meat.“___65___ is very important,”says Dr. Shibahara. Japanese people usually walk a lot. Everyday Dr. Shibahara takes the stairs, not the elevator(电梯). He ___66___ spends time with otherpeople. He takes night classes, goes to the movies with his grandchildren and often goes onpicnics with his life. She is 89!“Lonely people die young,”Dr. Shibahara says.“Eat well, walkmore, and spend more time with family and friends,”he advises.62. A. work B. live C. study D.play63. A. habits B. foods C. drinks D.hobbies64. A. big B. delicious C. strange D. healthy65. A. Sleep B. Study C. Exercise D. Play66. A. already B. still C. also D. neverC. Fill in the blanks with proper words.Before the 16th century, people in Europe didn’t have a lot of the things that we eatand drink every day. At the end of the 15th century, people from Europe s___67___ totravel to other parts of the world. They went to America, Africa and Asia. They broughtback a lot of new kinds of food.Chocolate came from Mexico. The Aztecs there drank chocolate with pepper! Andtoday chicken with chocolate sauce is a popular m___68___ in Mexico. The Spanishbrought chocolate to Europe and they were the first to put sugar in it. Until the 1870’s,chocolate was o___69___ a drink. The Swiss made the first bar of chocolate in 1876.Tomatoes and peppers came from Mexico, too. The Spanish brought seeds back toSpain and g___70___ the plants there. Soon they spread to other countries in Europeand then to other parts of the world.Coffee came from Africa. The Turks took it to Turkey and then to Europe.Tea came from China in the 17th century. At first it was very e___71___ and rich peopledrank it, but in the 19th century the British started to plant tea in India. They produced a lot,so it was cheap and everybody drank it.D. Answer the questions.“Tell me a story Grandpa!”“Okay,”says Grandpa.“I’ll tell you a story about my grandfather, Carlo. In 1910, Carlo was 10 years old. He and his family lived in Italy. They were very poor, so they came to the United States for a better life.”“Really? I’m ten, too.”says Henry,“And Mom, Dad, and I visit a different country every summer!”“Yes, Henry. Things are different now,”says Grandpa.“How did they go here?”asks Henry.“By ship,”say Grandpa.“It wasn’t an easy trip because the ship was crowded and dirty. There wasn’t much food and many people got sick. Carlo was sick, too. They arrived at Ellis Island in New York after ten days.”“Wow! That’s slow!”says Henry.“Now it only takes about nine hours in an airplane.”“I know,”say Grandpa.“It’s very different today.”“What happened at Ellis Island?”asks Henry.“Doctors checked everyone, and Carlo was very scared(害怕). People who weren’t healthy couldn’t enter New York,”says Grandpa.“The clerks asked them many questions.”“What questions, Grandpa?”asks Henry.“Where are you from? Are you healthy or are you sick?”say Grandpa.“Luckily, Carlo was feeling better so they let him in. And that’s why we live here today and not in Italy.”“That was a cool story, Grandpa!”says Henry.“I have an idea. Let’s take a trip to Italy, by airplane.”72. Where did Carlo’s family move when he was 10?73. When do Henry and his parents visit a different country?74. How can one get to Ellis Island from Italy in about nine hours?75. What was Carlo’s feeling when doctors checked him at Ellis Island?76. Why does Henry want to take a trip to Italy?Ⅱ. Writing.77. Write at least 50 words about the topic“I want to be a(n) ___(job)”.(请按下列要求,以“我想成为一名_______(职业)”为题写话,不少于50词,标点符号不占格。
上海市静安区2019-2020学年七年级下学期期末语文试题(教师版)
静安区七年级第二学期期末测试卷(时间:100分钟满分:100分)第一部分积累与运用(24分)一、基础知识(10分)1. 下列加点字注音有误的一项是()A. 奠.基diàn萦.带yíngB. 谰.语lán污秽.suìC. 亘.古gèn镐.头gǎoD. 校.补jiào气冲斗.牛dǒu【答案】B【解析】【详解】B.污秽suì——huì。
故选B。
2. 下列选项中字形全对的一项是()A. 谣言锲而不舍B. 秩序徽不足道C. 繁琐大廷广众D. 烦燥侮人不倦【答案】A【解析】【详解】B.徽.不足道——微不足道;C.繁.琐——烦琐,大廷.广众——大庭广众;D.烦燥.——烦躁,侮.人不倦——诲人不倦;故选A。
3. 下列句子中,加点成语运用恰当的一项是()A. 他异口同声....地说:“这里的风景真美。
”B. 新和中学的录播室装修一新,真是蓬毕生辉....呀。
C. 每一个老兵都有一段历史,每一个老兵身上都有一段鲜为人知....的故事。
D. 在我国古典文学中,很多作品擅长通过人物语言塑造人物形象,例如《公输》中墨子的形象惟妙惟肖....。
【答案】C【解析】【详解】A.异口同声:不同的人说同样的话,形容意见一致。
句中“他”是一个人,使用错误;B.蓬毕生辉:使寒门增添光辉(多用作宾客来到家里,或赠送可以张挂的字画等物的客套话)。
句中“录播室装修一新”,用“蓬毕生辉”形容不恰当;C.鲜为人知:很少有人知道。
符合语境,使用正确;D.惟妙惟肖:描写或模仿得非常逼真。
句中指塑造人物形象,使用不恰当;故选C。
4. 下面选项中与例句引号用法相同的一项是()例:在地球仪上题着这样一句话——“你首先拥抱了我!”A. 走进山林,一路上我遇到那么多的“朋友”。
B. 有戏迷,也有醉鬼,尖声唱着“一马离了”或“苏三离了洪洞县”。
C. 2015年6月1日,“东方之星”倾覆了,让我们永远记住这个令人哀伤的日子。
上海市静安区2023-2024学年高一下学期期末教学质量调研数学试题(含答案)
静安区2023学年第二学期教学质量调研高一数学试卷2024.06考生注意:1.本试卷共4页,18道试题,满分100分,考试时间90分钟.2.本试卷分设试卷和答题纸.试卷包括试题与答题要求.作答必须涂(选择题)或写(非选择题)在答题纸上,在试卷上作答一律不得分.一、填空题(本大题共有10题,满分35分,其中115题每题3分,610题每题4分)【考生应在答题纸相应编号的空格内直接填写结果.】1.已知向量,则______.2.若复数满足(为虚数单位),则______.3.已知(其中为正整数)是公比为的等比数列,且,则______.4.已知角的终边经过点,则______.5.已知向量,且,则实数______.6.已知平面上两点的坐标分别是是直线上的一点,且,则点的坐标是______.7.在中,若,那么______.8.设是正实数,将函数,得到的曲线仍然是某个函数的图像,则的最大值______.9.已知角的终边经过点,则______.10.函数的部分图像的示意图如图所示,已知,且,则______.二、选择题(本大题共有3题,满分12分,每题4分)【每题有且只有一个正确答案,考生应在答题纸的相应编号上,将代表答案的小方格涂黑,选对得相应分值,()()()2,3,2,4,1,2a b c ==-=-- ()a b c -⋅=z ()()1i 12z +-=i z ={}n a n q 171,93a a ==2q =α()8,6P --cos2α=()(),1,2,1a kb =-=- ()a b b +∥k =,A B ()()2,5,3,0,M AB 23AM MB =-M ABC △sin sin sin 346A B C =::::cos C =αy =()0θθα<<α()π,2π,θθ∈()cos1sin1,cos1sin1+-θ=()()()sin 0,0,0πf x A x A ωϕωϕ=+>><<()()120f x f x +=21π2x x -<()12f x x +=否则一律得零分.】11.已知,则角的终边所在的象限为第( )象限.A .一B .二C .三D .四12.已知函数,且,则( )A .11B .14C .17D .2013.若函数在内是严格减函数,则实数的取值范围是( ).A .B .C .D.三、解答题(本大题共有5题,满分53分)【解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.】14.(本题满分10分,本题共有2个小题,第(1)小题满分5分,第(2)小题满分5分)已知一元二次方程.(1)在复数范围内解该方程;(2)设这个方程的两个复数根在复平面上所对应的向量分别为(为坐标原点),求与夹角的大小.(结果用反三角函数值表示)15.(本题满分10分)设是数列的前项和(其中为正整数),已知,且数列是等差数列,求.16.(本题满分10分,本题共有2个小题,第(1)小题满分5分,第(2)小题满分5分)化简下列各式:(1);(2).17.(本题满分11分,本题共有2个小题,第(1)小题满分7分,第(2)小题满分4分)已知函数.(1)某同学打算用“五点法”画出函数在某一周期内的图像,列表如下:tan 0,sin 0αα><α()3sin 3f x x ax b x =++-20π2f ⎛⎫-=- ⎪⎝⎭2πf ⎛⎫= ⎪⎝⎭()21log a y x -=()0,∞+a 1a >a <a >1a <<2450x x -+=12,z z 12,OZ OZ O 1OZ2OZθn S {}n a n n 244,20a S ==n S n ⎧⎫⎨⎬⎩⎭n S ππcos sin 44αα⎛⎫⎛⎫+++ ⎪ ⎪⎝⎭⎝⎭()()()()πcot sin πcos 2π2πtan πsin 2πtan 2αααααα⎛⎫- ⎪-+⎝⎭⋅⋅+-⎛⎫+ ⎪⎝⎭()()πsin 0,2f x A x ωϕωϕ⎛⎫=+>< ⎪⎝⎭()y f x =x 2π3-π310π3请在答题纸上填写上表的空格处数值,并写出函数的表达式和单调递增区间;(2)将(1)中函数的图像向下平移个单位得到的图像,若函数在闭区间上恰有两个零点,请直接写出实数的取值范围.18.(本题满分12分,本题共有3个小题,第(1)小题满分3分,第(2)小题满分4分,第(3)小题满分5分)在某一个十字路口,每次亮绿灯的时长为(为时间单位:秒),那么每次绿灯亮时,在同一条直行道路上同方向能有多少辆汽车通过该十字路口?该问题涉及车长、车距、车速,前方堵塞状况包括行人非机动车等因素.为了将问题简化,在路况车况驾驶状态等都良好的前提下,提出如下基本假设:1.通过路口的车辆长度都相等;2.等待通行时,前后相邻两辆车的车距都相等;3.绿灯亮时,汽车都是沿同方向从静止状态匀加速启动,到达最高限速汽车开始匀速行驶;4.离路口信号灯最近的第一辆车在绿灯亮后延迟时间开始动起来.前一辆车启动后,下一辆车启动的延迟时间相等,在延迟时间内,车辆保持静止;5.按照交通安全法规行驶,行车秩序良好,没有碰擦或堵塞等现象发生.一名建模爱好者收集数据整理如下:1.车长设为,取,车距设为,取,第一辆车离停车线距离为;()y f x =()y f x =m ()y g x =()y g x =[]0,πm 15s s 1s l 5m d 2m 0m2.加速度记作,取,汽车在匀加速运动时段行驶路程;3.前后车启动延迟时间记为,取;4.第辆车启动延迟时间为;5.该十字路口限速,换算为;6.第辆车到达最高限速的时间为取.设第辆车在绿灯持续时间内驶离停车线的距离为.根据上述假设与数据,,依次类推.请你解决下列问题:(1)求;(结果保留一位小数,单位:)(2)对于第辆车,写出函数的分段表达式;(3)求在亮绿灯的内,这一条直行道路上同方向能有多少辆汽车通过该十字路口.静安区2023学年第二学期教学质量调研高一数学试卷含评分标准 2024.6考生注意:1.本试卷共4页,18道试题,满分100分,考试时间90分钟.2.本试卷分设试卷和答题纸.试卷包括试题与答题要求.作答必须涂(选择题)或写(非选择题)在答题纸上,在试卷上作答一律不得分.一、填空题(本大题共有10题,满分35分,其中题每题3分,题每题4分)【考生应在答题纸相应编号的空格内直接填写结果.】1.已知向量,则______.-22.若复数满足(i 为虚数单位),则3.已知(其中为正整数)是公比为的等比数列,且,则______.34.已知角的终边经过点,则______.a 22m /s s t 212S at =T 1s n ,n n t t nT =*40km /h v =1111m /s .n **,*/n n n t t t v a -=555s .n s t ()n S t ()()1200m,070m S S ==-.()()310,15S S m n ()n S t 15s 15~610~()()()2,3,2,4,1,2a b c ==-=--()a b c -⋅= z ()()1i 12z +-=z ={}n a n q 171,93a a ==2q =a ()8,6P --cos2a =7255.已知向量,且,则实数______.26.已知平面上两点的坐标分别是,是直线上的一点,且,则点M的坐标是______.(0,15)7.在中,若,那么______.8.设是正实数,将函数,得到的曲线仍然是某个函数的图像,则a 的最大值为______.9.已知角终边上有一点,则______.10.函数的部分图像的示意图如图所示,已知,且,则______.二、选择题(本大题共有3题,满分12分,每题4分)【每题有且只有一个正确答案,考生应在答题纸的相应编号上,将代表答案的小方格涂黑,选对得相应分值,否则一律得零分.】11.已知,则角的终边所在的象限为第( )象限.A .—B .二C .三D .四C12.已知函数,且,则( ).A .11B .14C .17D .20B13.若函数在内是严格减函数,则的取值范围是( ).A .B .C .D .D三、解答题(本大题共有5题,满分53分)【解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.】14.(本题满分10分,本题共有2个小题,第(1)小题满分5分,第(2)小题满分5分)()(),1,2,1a k b =-=- ()a b b +∥k =A B ⋅()()2,53,0⋅M AB 23AM MB =-ABC △sin sin sin 346A B C =::::cos C =1124-a y =()0a θθ<<π6()π,2π,θθ∈()cos1sin1,cos1sin1+-θ=9π14-()()()sin 0,0,0πf x A x A ωϕωϕ=+>><<()()120f x f x +=21π2x x -<()12f x x +=tan 0,sin 0a a ><a ()3sin 3f x x ax b x =++-20π2f ⎛⎫-=- ⎪⎝⎭2πf ⎛⎫= ⎪⎝⎭()21log a y x -=()0,∞+a 1a >a <a >1a <<已知一元二次方程.(1)在复数范围内解该方程;(2)设这个方程的两个复数根在复平面上所对应的向量分别为(为坐标原点),求与夹角的大小.(结果用反三角函数值表示)解:(1),方程有一对虚数根.(1分)(累计1分)解得.(4分)(累计5分)(2),(2分)(累计7分),求得与夹角的大小为.(3分)(累计10分)15.(本题满分10分)设是数列的前项和(其中为正整数),已知,且数列是等差数列,求.解:设公差为,,(或者即,)(2分)(累计2分)又,所以(或者)(2分)(累计2分)解得.(2分)(累计6分)所以为正整数(3分)(累计9分)所以.(1分)(累计10分)16.(本题满分10分,本题共有2个小题,第(1)小题满分5分,第(2)小题满分5分)化简下列各式:(1);2450x x -+=12,z z 12,OZ OZ O 1OZ2OZθ162040∆=-=-<122i,2i z z =-=+()()122,1,2,1OZ OZ =-=22,3cos 5OZ OZ OZθ⋅==1OZ 2OZ θ3arccos 5n S {}n a n n 244,20a S ==n S n ⎧⎫⎨⎬⎩⎭n S n S n ⎧⎫⎨⎬⎩⎭d 42113,42S S S d S d =+=+42242S S d =+15222ad =++214S S =+1135,24S d S d +=⎧⎨+=⎩1146,24a d a d +=⎧⎨+=⎩()111,2d a S ===()21,1n n S Sn n n n n=+-=+.()1n S n n =+ππcos sin 44a a ⎛⎫⎛⎫+++ ⎪ ⎪⎝⎭⎝⎭(2).解:(1).(5分)(累计5分)(辅助角公式3分,结果2分)方法2:(5分)(累计5分)(两角和与差公式3分,结果2分)(2).(5分)(累计10分)(诱导公式3分,化简结果2分)17.(本题满分11分,本题共有2个问题,第(1)小题满分7分,第(2)小题满分4分)已知函数.(1)某同学打算用“五点法”画出函数在某一周期内的图像,列表如下:请在答题纸填写上表的空格处,并写出函数的表达式和单调递增区间;(2)将(1)中函数的图像向下平移个单位得到的图像,若函数在闭区间上恰有两个零点,请直接写出的取值范围.解:(3分)(累计3分)()()()()πcot sin πcos 2π2πtan πsin 2πtan 2a a a a a a ⎛⎫- ⎪-+⎝⎭⋅⋅+-⎛⎫+ ⎪⎝⎭ππππcos sin 4444a a a a ⎛⎫⎛⎫⎛⎫+++=++= ⎪ ⎪⎪⎝⎭⎝⎭⎝⎭))ππcos sin sin cos 44a a cosa sina a a a ⎛⎫⎛⎫+++=-+= ⎪ ⎪⎝⎭⎝⎭()()()()πcot sin πcos 2πsin 2πtan πsin 2πtan tan 2a a a a a a a a ⎛⎫- ⎪-+⎝⎭⋅⋅=+-⎛⎫+ ⎪⎝⎭tan a ⋅cos sin cot sin a a a a ⋅=--()()πsin 0,2f x A x ωϕωϕ⎛⎫=+>< ⎪⎝⎭()y f x =()y f x =()y f x =m ()y g x =()y g x =[]0,πm ()4π7π1,,33(累计分)单调递增区间.(2分)(累计7分)(2)的取值范围是.(4分)(累计11分)(区间端点或者不等式值正确得2分,在区间端点值正确的前提下,区间端点处开闭或者不等式符号一处1分,共2分)18.(本题满分12分,本题共有3个小题,第(1)小题满分3分,第(2)小题满分4分,第(3)小题满分5分)在某一个十字路口,每次亮绿灯的时长为(s 为时间单位:秒),那么,每次绿灯亮时,在同一条直行道路上同方向能有多少辆汽车通过该十字路口?该问题涉及车长,车距、车速、前方堵塞状况,包括行人非机动车等因素.为了将问题简化,在路况车况驾驶状态等都良好的前提下,建模爱好者提出如下基本假设:1.通过路口的车辆长度都相等;2.等待通行时,前后相邻两辆车的车距都相等;3.绿灯亮时,汽车都是沿同方向从静止状态匀加速启动,到达最高限速汽车开始匀速行驶;4.离路口信号灯最近的第一辆车在绿灯亮后延迟1s 时间开始动起来.前一辆车启动后,下一辆车启动的延迟时间相等,在延迟时间内,车辆保持静止;5.按照交通安全法规行驶,行车秩序良好,没有碰擦或堵塞等现象发生.一名建模爱好者收集数据整理如下:1.车长设为,取,车距设为,取,第一辆车离停车线距离为;2.加速度记作,取,汽车在匀加速运动时段行驶路程;3.前后车启动延迟时间记为,取;()()1π,223f x x ⎛⎫=+ ⎪⎝⎭分5()5ππ4π,4π33k k k Z ⎡⎤-+∈⎢⎥⎣⎦m 15s l 5m d 2m 0m a 22m /s t s 212S at =T 1s4.第辆车启动延迟时间为;5.该十字路口限速,换算为,6.第辆车到达最高限速的时间为取.设第辆车在绿灯持续时间内驶离停车线的距离为.根据上述假设与数据,,依次类推.请你解决下列问题:(1)求;(结果保留一位小数,单位:m )(2)对于第辆车,写出函数的分段表达式;(3)求在亮绿灯的15s 内,这一条直行道路上同方向能有多少辆汽车通过该十字路口.解:(1),(1分)(2分)(累计3分)(2)对第辆车,列出函数的分段表达式,相当于已经解决一般化的问题.通过对小汽车三个运动阶段的分析,整理得:(4分)(累计7分)其中,,或者写成(4分)(累计7分)(表达式中可以保留,也可以写成—;表达式书写结果只要合理都应适当给分,例如某段表达正确或者某个具体的正确,给1分;题设已经明确,可以不写)(3)由于十字路口亮绿灯的时长为,即,于是,该实际问题可表述为数学问题:求n ,n n t t n T =40km /h v =å1111m /s .n **,*/n n n t t t v a -=555s .n s t ()n S t ()()1200m,070m S S ==-.()()310,15S S n ()n S t ()30140m S =-.()()2111525551111145551247m 2S =⨯⨯+⨯-≈....n ()n S t *2*2***(0),01()(0)(),21(0)()(),2n n n n n n n n n n n S t t S t S a t t t t tS a t t v t t t t ⎧⎪≤<⎪⎪=+-≤<⎨⎪⎪+-+-≥⎪⎩()()071n S n =--()()()()220,00555,55505551111555,15555n n n S t nS n t n S t n t n ⎧≤<⎪⎪+≤<+⎨⎪++--≥≥+⎪⎩......()0n S ()71n -()n S t 015t ≤≤15s 15s t =()150n S >的最大.(1分)(累计8分)与计算的方法相同,计算,,第8辆车没有行驶到停车线时绿灯已经结束,没能通过十字路口.在亮绿灯的内,这一条直行道路上同方向至多有7辆汽车通过该十字路口.(4分)(累计12分)(从,解得正整数,计算进行判断或者从递减判断亦可)n ()115S ()()221575551111157551066S =-++⨯-≈....()()231514555111115855885,S =-++⨯-≈....()()241521555111115955704,S =-++⨯-≈....()()2515285551111151055522,S =-++⨯-≈....()()2615355551111151155341,S =-++⨯-≈....()()2715425551111151255160,S =-++⨯-≈....()()2815495551111151355210S =-++⨯-≈-<....15s 55515n +≤.9n ≤()()()98715,15,15S S S (){}15n S。
下海市静安区2020年七年级第二学期期末调研语文试题含解析
下海市静安区2020年七年级第二学期期末调研语文试题注意事项1.考生要认真填写考场号和座位序号。
2.试题所有答案必须填涂或书写在答题卡上,在试卷上作答无效。
第一部分必须用2B 铅笔作答;第二部分必须用黑色字迹的签字笔作答。
3.考试结束后,考生须将试卷和答题卡放在桌面上,待监考员收回。
一、句子默写1.在下列横线上填写出相应的句子。
(1)可以调素琴,阅金经。
__________________,__________________。
(刘禹锡《陋室铭》)(2)东市买骏马,______________,______________,北市买长鞭。
(《木兰诗》)(3)《己亥杂诗(其五)》中表现诗人甘愿牺牲自我的无私奉献精神的诗句是:________________,__________________。
【答案】 (1)无丝竹之乱耳无案牍之劳形(2)西市买鞍鞯南市买辔头(3)落红不是无情物化作春泥更护花【解析】【详解】试题分析:默写常见的名句名篇。
首先要选准诗句,生僻字平时要多写几遍。
这类试题是通过书写的方式考背诵,关键是不能错字、别字、形似字。
近几年总出理解性默写题目,这种题目的难度比根据上下文默写要难,首先要根据诗歌内容选准诗句,然后不要出现错别字。
此题要注意“牍”“鞍鞯”“辔”等字词的书写。
二、选择题2.下列句子没有..语病的一项是()A.虽然鲁迅先生的胃不大好,每饭后必吃“脾自美”胃药丸一二粒。
B.抚河是江西省第二大河流,全长312公里,光彩夺目的“临川文化”正发源于此。
C.凡是同叶圣陶先生有些交往的,不为他的待人厚而感动。
D.是否拼搏和奋斗,是实现全面建成小康新抚州这一美好愿景的钥匙。
【答案】B【解析】【详解】A.因果关系,“虽然”改为“因为”;C.表意不明,改为:凡是同叶圣陶先生有些交往的,无不为他的待人厚而深受感动;D.两面对一面。
删去“是否”。
故选B。
3.下列加点的成语使用有误的一项是()A.邓稼先是中华民族核武器事业的奠基人和开拓者。
下海市静安区2020年七年级第二学期期末调研数学试题含解析
下海市静安区2020年七年级第二学期期末调研数学试题考生须知:1.全卷分选择题和非选择题两部分,全部在答题纸上作答。
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一、选择题(每题只有一个答案正确)1.下列因式分解错误的是( )A .()23632x xy x x y -=-B .()()22933x y x y x y -=-+ C .()2244121x x x ++=+D .()()2221x x x x --=+- 【答案】D【解析】【分析】根据因式分解的方法逐个判断即可.【详解】 解:A 、因式分解正确,故本选项不符合题意;B 、因式分解正确正确,故本选项不符合题意;C 、因式分解正确,故本选项不符合题意;D 、()()2221x x x x --=-+,故D 因式分解不正确,故本选项符合题意; 故选:D .【点睛】本题考查了因式分解的定义,能熟记因式分解的定义的内容是解此题的关键,注意:把一个多项式化成几个整式的积的形式,叫因式分解.2.在平面直角坐标系中,点P (-1,1)所在的象限是( )A .第一象限B .第二象限C .第三象限D .第四象限【答案】B【解析】【分析】根据平面直角坐标系的特点,由P 点的横纵坐标的符号判断所在的象限即可.【详解】因为x =-1<0,y=1>0所以P (-1,1)所在的象限是第二象限.故选:B.【点睛】本题考查了各象限内点的坐标的符号特征,记住各象限内点的坐标的符号是解决的关键,四个象限的符号特点分别是:第一象限(+,+);第二象限(-,+);第三象限(-,-);第四象限(+,-).3.如图,∠AOB=120°,OP 平分∠AOB ,且OP=2.若点M ,N 分别在OA ,OB 上,且△PMN 为等边三角形,则满足上述条件的△PMN 有( )A .1个B .2个C .3个D .3个以上【答案】D【解析】【详解】试解:如图在OA 、OB 上截取OE=OF=OP ,作∠MPN=60°.∵OP 平分∠AOB ,∴∠EOP=∠POF=60°,∵OP=OE=OF ,∴△OPE ,△OPF 是等边三角形,∴EP=OP ,∠EPO=∠OEP=∠PON=∠MPN=60°,∴∠EPM=∠OPN ,在△PEM 和△PON 中,PEM PONPE PO EPM OPN∠∠⎧⎪⎨⎪∠∠⎩=== , ∴△PEM ≌△PON .∴PM=PN ,∵∠MPN=60°,∴△PNM 是等边三角形,∴只要∠MPN=60°,△PMN 就是等边三角形,故这样的三角形有无数个.故选D .4.若a b <,则下列结论中正确的是( )A .22am bm ≤B .am bm >C .a b m m <D .am bm <【答案】A【解析】【分析】 根据不等式的性质,结合举反例逐项分析即可.【详解】A. ∵a b <,m 2≥0,∴ 22am bm ≤,正确;B. 当m=0时,=am bm ,故错误;C. 当m<0时,∴a b m m>,故错误; D. 当m<0时,∴am bm >,故错误;故选A.【点睛】本题考查了不等式的性质:①把不等式的两边都加(或减去)同一个整式,不等号的方向不变;②不等式两边都乘(或除以)同一个正数,不等号的方向不变;③不等式两边都乘(或除以)同一个负数,不等号的方向改变.5.填在下面各正方形中的四个数之间都有一定的规律 ,按此规律得出a ,b 的值分别为( )A .9, 10B .9, 91C .10, 91D .10, 110【答案】C【解析】 分析正方形中的四个数:∵第一个正方形中0+3=3,0+4=4,3×4+1=13;第二个正方形中2+3=5,2+4=6,5×6+1=31;第三个正方形中4+3=7,4+4=8,7×8+1=57.∴c=6+3=9,a=6+4=10,c=9×10+1=91.故选C.6.如图,大正方形的边长为m ,小正方形的边长为n ,x ,y 表示四个相同长方形的两边长(x y >).则①x y n -=;②224m n xy -=;③22x y mn -=;④22222m n x y -+=,中正确的是( )A .①②③B .①②④C .①③④D .①②③④【答案】A【解析】【分析】 根据长方形的长和宽,结合图形进行判断,即可得出选项.【详解】①x−y 等于小正方形的边长,即x−y=n ,正确;②∵xy 为小长方形的面积, ∴224m n xy -=, 故本项正确;③()()22x y x y x y mn -=+-=,故本项正确;④()222222222242m n m n x y x y xy m -++=+-=-⨯= 故本项错误.则正确的有3个①②③.故选A.【点睛】此题考查因式分解的应用,整式的混合运算,解题关键在于掌握运算法则.7.下列说法中,正确的有( )①如果两条直线被第三条直线所载,那么内错角相等;②经过直线外的一点,有且只有一条直线与已知直线平行;③联结直线外一点与直线上各点的所有线段中,垂线段最短;④如果两个角相等,那么这两个角是对顶角.A .0个B .1个C .2个D .3个【答案】C【解析】【分析】根据平行线的性质定理,平行线公理,垂线段的性质定理,对顶角的定义,即可得到答案.【详解】∵两直线平行,内错角相等,∴①错误;∵经过直线外的一点,有且只有一条直线与已知直线平行,∴②正确;∵联结直线外一点与直线上各点的所有线段中,垂线段最短,∴③正确;∵如果两个角相等,这两个角不一定是对顶角,还要强调位置关系,∴④错误;故选C.【点睛】本题主要考查平行线的性质定理,平行线公理,垂线段的性质定理,对顶角的定义,掌握上述的定理和性质是解题的关键.8.《九章算术》中有一道“盈不足术”的问题,原文为:今有人共买物,人出八,盈三;人出七,不足四,问人数,物价各几何?意思是:“现有几个人共同购买一件物品,每人出8钱,则多3钱;每人出7钱,则差4钱,求物品的价格和共同购买该物品的人数.设该物品的价格是x钱,共同购买该物品的有y人,则根据题意,列出的方程组是()A.8374y xy x-=⎧⎨-=⎩B.8374y xy x-=⎧⎨-=-⎩C.8374y xy x-=-⎧⎨-=-⎩D.8374y xy x-=⎧⎨-=⎩【答案】B【解析】【分析】设该物品的价格是x钱,共同购买该商品的由y人,根据题意每人出8钱,则多3钱;每人出7钱,则差4钱列出二元一次方程组.【详解】设该物品的价格是x钱,共同购买该商品的由y人,依题意可得83 74y xy x-=⎧⎨-=-⎩故选:B【点睛】本题考查由实际问题抽象出二元一次方程组以及数学常识,找准等量关系,正确列出二元一次方程组. 9.如图,在△ABC中,∠C=90°,∠B=30°,以A为圆心,任意长为半径画弧分别交AB、AC于点M和N,再分别以M、N为圆心,大于12MN的长为半径画弧,两弧交于点P,连结AP并延长交BC于点D,则下列说法中正确的个数是()①AD是∠BAC的平分线;②∠ADC=60°;③点D在AB的中垂线上;④BD=2CD.A.4 B.3 C.2 D.1【答案】A【解析】【分析】①根据作图的过程可以判定AD是∠BAC的角平分线;②利用角平分线的定义可以推知∠CAD=30°,则由直角三角形的性质来求∠ADC的度数;③利用等角对等边可以证得△ADB的等腰三角形,由等腰三角形的“三合一”的性质可以证明点D在AB的中垂线上;④根据直角三角形的性质得出AD=2CD,再由线段垂直平分线的性质得出AD=BD,进而可得出结论.【详解】解:①根据作图的过程可知,AD是∠BAC的平分线.故①正确;②如图,∵在△ABC中,∠C=90°,∠B=30°,∴∠CAB=60°.又∵AD是∠BAC的平分线,∴∠1=∠2=12∠CAB=30°,∴∠3=90°﹣∠2=60°,即∠ADC=60°.故②正确;③∵∠1=∠B=30°,∴AD=BD,∴点D在AB的中垂线上.故③正确;∵∠2=30°,∴AD=2CD.∵点D在AB的中垂线上,∴AD=BD,∴BD=2CD.故④正确.故选A.考点:作图—基本作图;角平分线的性质;线段垂直平分线的性质.10.某厂准备加工500个零件,在加工了100个零件后,引进了新机器,使每天的工作效率是原来的2倍,结果共用6天完成了任务.若设该厂原来每天加工x个零件,则由题意可列出方程()A.10050062x x+=B.10050062x x+=C.10040062x x+=D.10040062x x+=【答案】D【解析】【分析】根据共用6天完成任务,等量关系为:用老机器加工100个零件用的时间+用新机器加工400个用的时间=6,即可列出方程.【详解】解:设该厂原来每天加工x个零件,根据题意得:10040062x x+=.故选:D.【点睛】此题考查了由实际问题抽象出分式方程,分析题意,根据关键描述语,找到合适的等量关系是解决问题的关键.二、填空题1123.【答案】<.【解析】【分析】把1化为25 ,比较大小即可. 【详解】1=25 ,∵2325 ∴235故答案为:<【点睛】本题考查的是无理数的大小比较,可进行估算或同时平方或把1化为25比较大小均可.12.如图,《九章算术》是中国传统数学重要的著作,奠定了中国传统数学的基本框架.《九章算术》中记载:“今有共买鸡,人出八,盈三;人出七,不足四.问人数、鸡价各几何?”译文:“今天有几个人共同买鸡,每人出8钱,则多了3钱,每人出7钱,则少4钱.问人数和鸡的价钱各是多少?”设人数有x 人,鸡的价钱是y 钱,可列方程组为________________.【答案】8374x y x y -=⎧⎨+=⎩【解析】【分析】根据题意可以找出题目中的等量关系,等量关系为“鸡的价钱=人数×每人出的钱数-多了的钱”和“鸡的价钱=人数×每人出的钱数+少了的钱).根据等量关系即可列出相应的方程组.【详解】解:等量关系为“鸡的价钱=人数×每人出的钱数-多了的钱”和“鸡的价钱=人数×每人出的钱数+少了的钱).由题意可得,8374x y x y -=⎧⎨+=⎩, 故答案为:8374x y x y -=⎧⎨+=⎩【点睛】本题考查由实际问题抽象出二元一次方程组,解答本题的关键是明确题意,找到等量关系,列出相应的方程组.13.若关于x 的不等式组{2x 713x a 12-≤->的整数解共有6个,则a 的取值范围是______.【答案】-18≤a<-15【解析】【分析】首先确定不等式组的解集,先利用含a 的式子表示,根据整数解的个数就可以确定有哪些整数解,根据解的情况可以得到关于a 的不等式组,从而得出a 的范围.【详解】解不等式271x -≤,得:4x ≤,解不等式312x a ->,得:123a x +>, 因为不等式组的整数解有6个,所以12213a +-≤<-, 解得:1815a -≤<-,故答案为:1815a -≤<-.【点睛】本题主要考查了一元一次不等式组的整数解.利用不等式组的整数解个数来列出关于a 的不等式组是解题的关键. 14.如图,在ABC ∆中,AD 是BC 边上的高,AE 平分BAC ∠,若130∠=,220∠=,则B ∠=__________.【答案】50°【解析】【分析】由角平分线的定义和已知可求出∠BAC ,由AD 是BC 边上的高和已知条件可以求出∠C,然后运用三角形内角和定理,即可完成解答.【详解】解:∵AE 平分BAC ∠,若130∠=∴BAC ∠=2160∠=;又∵AD 是BC 边上的高,220∠=∴C ∠=90°-270∠=又∵BAC+∠B+∠C=180°∴∠B=180°-60°-70°=50°故答案为50°.【点睛】本题考查了角平分线、高的定义以及三角形内角和的知识,考查知识点较多,灵活运用所学知识是解答本题的关键.15.某道路安装的护栏平面示意图如图所示,每根立柱宽为0.2米,立柱间距为3米,设有x根立柱,护栏总长度为y米,则y与x之间的关系式为_______.【答案】y=1.2x﹣1.【解析】【分析】根据题意得到等式:护栏总长度等于(每根立柱宽+立柱间距)乘以立柱数-1.【详解】由题意得y与x之间的关系式为y=(0.2+1)x﹣1=1.2x﹣1.故答案为:y=1.2x﹣1.【点睛】本题考查列二元一次方程,解题的关键是读懂题意,得到等式关系.16.为了奖励兴趣小组的同学,张老师花94元钱购买了《智力大挑战》和《数学趣题》两种书.已知《智力大挑战》每本17元,《数学趣题》每本6元,则《数学趣题》买了_____本.【答案】10【解析】【分析】通过理解题意可知本题存在的等量关系是:购买了《智力大挑战》花的钱+购买了《数学趣题》花的钱=94元,此题可采用讨论法.【详解】设购买了《智力大挑战》x本,购买了《数学趣题》y本,由题意可得:17x+6y=94当x=1时,解得y=25 2;当x=2时,解得y=10;当x=3时,解得y=436; 当x=4时,解得y=133;当x=5时,解得y=32;所以,只有x=2时符合题意. 故答案为10 【点睛】本题解题时只能列出一个等量关系式,这样就只能抓住购买的书都是整数这个关键,再分别代入求解即可. 17.若a 2+b 2=5,ab =2,则(a +b)2=________. 【答案】1 【解析】试题解析:∵(a+b )2=a 2+b 2+2ab , ∴把a 2+b 2与ab 代入,得 (a+b )2=5+2×2=1. 考点:完全平方公式. 三、解答题18.计算:36-327+|1-3| 【答案】2+3. 【解析】 【分析】直接利用立方根的性质以及绝对值的性质和算术平方根的性质分别化简得出答案. 【详解】解:原式=6-3+3-1 =2+3. 【点睛】此题主要考查了实数运算,正确化简各数是解题关键.19.如图,在ABC △中,AB AC =,点D 在AC 上,且BD BC AD ==,求A ∠的度数.【答案】36A ∠=︒ 【解析】 【分析】根据等边对等角可得∠ABC=∠C ,∠A=∠ABD ,∠C=∠BDC ,再根据三角形的一个外角等于与它不相邻的两个内角的和可得∠BDC=∠A+∠ABD=2∠A ,然后根据三角形的内角和定理列出方程求解即可. 【详解】 ∵AB=AC , ∴∠ABC=∠C , ∵BD=BC=AD ,∴∠A=∠ABD ,∠C=∠BDC ,在△ABD 中,∠BDC=∠A+∠ABD=2∠A , 在△ABC 中,∠A+∠ABC+∠C=180°, ∴∠A+2∠A+2∠A=180°, ∴∠A=36°. 【点睛】本题考查了等腰三角形的性质,主要利用了等边对等角的性质,三角形的内角和定理,以及三角形的一个外角大于任何一个与它不相邻的内角的性质,熟练掌握相关性质是解题的关键.20.某小组在学校组织的研究性学习活动中了解所居住的小区500户居民的人均收入情况,从中随机调查了40户居民家庭收入情况(收入取整数,单位:元),并绘制了如下的频数分布表和频数分布直方图,根据以上提供的信息,解答下列问题:(1)补全频数分布表. (2)补全频数分布直方图.(3)请你估计该居民小区家庭人均收入属于中等收入(1000≤x<1600)的大约有多少户?【答案】(1)见解析;(2)见解析;(3)375户【解析】【分析】(1)根据总户数和各段得得百分比求出频数,再根据频数与总数之间的关系求出百分比,从而把表补充完整;(2)根据(1)所得出的得数从而补全频数分布直方图;(3)根据图表求出大于1000而不足1600的所占的百分比,再与总数相乘,即可得出答案.【详解】解:(1)补全频数分布表如下:分组频数百分比600≤x<800 2 5%800≤x<1000 6 15%1000≤x<1200 18 45%1200≤x<1400 9 22.5%1400≤x<1600 3 7.5%1600≤x<1800 2 5%合计40 100%(2)补全频数分布直方图如下:(3)估计该居民小区家庭人均收入属于中等收入(1000≤x<1600)的大约有500×(45%+22.5%+7.5%)=375户.【点睛】此题考查了频数(率)分布直方图,掌握频数、百分比与总数之间的关系,再从图中获得必要的信息是解题的关键,利用统计图获取信息时,必须认真观察、分析、研究统计图,才能作出正确的判断和解决问题.21.某校组织学生走上街头宣传雾霾的危害,他们要复印一部分宣传资料(不少于20页),校门口有两家复印店.甲店收费标准:复印页数不超过20时,每页收费0.12元,超过20时,超过部分每页收费将为0.09元;乙店收费标准:不论复印多少页,每页收费0.1元.(1)复印页数为多少时,两家店收费一样;(2)请你帮他们分析去哪家店比较合算.【答案】(1)当复印页数为1页时,两家店收费一样;(2)见解析.【解析】【分析】(1)设复印页数为x页时,两家店收费一样.根据收费相等列出方程;(2)根据他们不同的收费金额作出判断.【详解】(1)设复印页数为x页时,两家店收费一样,根据题意,得0.12×20+0.09(x–20)=0.1x,解得x=1.答:当复印页数为1页时,两家店收费一样;(2)当复印页数小于1页时,去乙店合算;当复印页数等于1页时,两店收费相同;当复印页数大于1页时,去甲店合算.【点睛】本题考查了一元一次方程的应用,根据数量关系总价=单价×数量列出关于x的一元一次方程是解题的关键.22.化简求值:()()()()234523223324523y x x y x y x yx y x ---+-+÷+-,其中13x =,2019y =. 【答案】-12x+9,5 【解析】 【分析】原式中括号中利用多项式乘以多项式,以及平方差公式化简,多项式除以单项式法则计算得到最简结果,把x 与y 的值代入计算即可求出值. 【详解】()()()()234523223324523y x x y x y x y x y x ---+-+÷+-=4y 2-9x 2-4y 2+5x 2+4x 2-12x+9 =-12x+9 当x=13时,原式=-4+9=5. 【点睛】考查了整式的混合运算-化简求值,熟练掌握运算法则是解本题的关键. 23. (1)计算:9×(﹣13)2﹣|﹣8|; (2)解方程组:371x y x y -=⎧⎨-=-⎩.【答案】 (1)-5;(2)45x y =⎧⎨=⎩.【解析】 【分析】(1)原式利用乘方的意义,算术平方根定义,以及绝对值的代数意义计算即可求出值; (2)方程组利用加减消元法求出解即可. 【详解】解:(1)原式=1+2﹣8=﹣5;(2)371x y x y -=⎧⎨-=-⎩①②,①﹣②得:2x =8, 解得:x =4,把x =4代入①得:y =5,则方程组的解为45x y =⎧⎨=⎩.【点睛】此题考查了解二元一次方程组,利用了消元的思想,消元的方法有:代入消元法与加减消元法. 24.如图,已知//AB CD ,110ABE ∠=,36DCE ∠=,求BEC ∠的大小.【答案】106° 【解析】 【分析】直接利用平行线的性质得出∠BEF=180°-∠ABE ,∠CEF =∠DCE =36°,进而得出答案. 【详解】解:过E 点作直线//EF AB ∵//AB CD ∴//EF CD∴BEC BEF CEF ∠=∠+∠180ABE DCE =-∠+∠18011036=-+106=.【点睛】此题主要考查了平行线的性质,正确掌握平行线的性质是解题关键.25.先化简后求值 1(x 1y+xy 1)﹣1(x 1y ﹣3x )﹣1xy 1﹣1y 的值,其中x=﹣1,y=1. 【答案】6x ﹣1y ,﹣10 【解析】 【分析】 【详解】解: 1(x 1y+xy 1)﹣1(x 1y ﹣3x )﹣1xy 1﹣1y =1x 1y+1xy 1﹣1x 1y +6x ﹣1xy 1﹣1y =6x ﹣1y ,当x=﹣1,y=1时,原式=6x ﹣1y=6×(-1)-1×1=-6-4=-10.。
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静安区2017学年第一学期期末学习质量调研七年级英语2018.1 Part 2 Phonetics, Vocabulary and GrammarⅡ. Choose the best answer.22. Please beat the egg for two minutes and get it ready for the soup. Which of the following is correct for theunderlined part in the word?A. /ɪ/B. /e/C. /i:/D. /eɪ/23. Which of the following underlined parts is different in pronunciation from others?A. The public library is three blocks down the Green Street.B. Dad wants to buy some frozen food on his way home.C. We are going to have a wonderful winter holiday in two weeks.D. Look at the traffic lights. Please cross the road safely.24. Mr. Lin is ____ SPCA officer. He will visit our school tomorrow morning.A. aB. anC. theD. /25. Please add some water _____ the dough, or it will be too dry.A. toB. onC. forD. from26. I bought the little child _____ sweets and the boy looked very happy.A. a piece ofB. a bottle ofC. a pair ofD. a packet of27. Miss Tang is a(n) _____ and she often answers the phone in the office.A. architectB. ambulance workerC. secretaryD. dentist28. I don’t like the color of the scarf, please show me ______ one.A. otherB. anotherC. the othersD. the other29. We shouldn’t watch TV for _______. It’s bad for our eyes.A. too muchB. too manyC. too littleD. too long30. ___ delicious the sea food with garlic tastes!A. HowB. WhatC. What aD. What an31. Mike _____ as a policeman for over 20 years. He keeps our city safe.A. workedB. will workC. is workingD. has worked32. –Would you like a bowl of seafood noodles?–No, thanks. I’d rather _____ some pizza.A. haveB. to haveC. havingD. had33. When I lived in the city center, I _____ the Science Museum very often.A. visitB. visitedC. have visitedD. will visit34. –____ is your project going to be about, Tony?–About keeping a pet.A. HowB. WhichC. WhatD. Who35. It is really cold today, ______ you should wear thick clothes before going out.A. ifB. butC. soD. because36. Miss Liu has never been to Hainan island. _____ her friends.A. So hasB. So haveC. Neither hasD. Neither have37. –Shall we go to the market to buy some food for the picnic tomorrow?–___.A. A good ideaB. I don’t think soC. It’s a pleasureD. No, we can’tA. carriedB. InternetC. far awayD. at leastE. quicklyF. listened toG. slowBefore newspapers, people talked to each other to get news. Then people printed thenews on paper and newspapers appeared. Later they ___38___ the radio for news. Todaywe can watch news on TV and read it on the ___39___ any time we want.TravelPeople long ago walked from place to place or traveled by horse and cart(马车).When they traveled long distances they went by train or ship. It was ___40___ anddifficult. Today we can travel in cars, fast trains, buses, or airplanes to go to places that are ___41___. We can travel to places across the ocean or across the world in a day. Travel is fast and convenient now.Communication(交流)Long ago, people used letters to communicate. They mailed letters to friends and families. Letters were ___42___ by horse and cart, and later by train or boat or by airplane. Today, communication is different. We can send e-mails, text messages, or phone calls to communicate ___43___ with friends and family all over the world.Ⅱ. Complete the sentences with the given words in their proper forms.44. We rescued the dog and her two little ________ from the river.(puppy)45. If you want to visit our library, please go to the _________ floor.(five)46. Tom is a boy of only six, but he can take care of ________.(he)47. David’s parents have planned a trip to _________ for the spring festival.(Canadian)48. A cold drink is often a _________ of milk and juice.(mix)49. Reading some books _________ helps enrich your knowledge.(regular)50. The life in the suburbs is much more _________ than that in the city.(peace)51. We should do something for those ________ animals in cold winter.(home)Ⅱ. Complete the following sentences as required.52. Kitty put the TV set opposite the sofa just now.(改为否定句)Kitty ________ ________ the TV set opposite the sofa just now.53. Students are going to have a food festival in the school next weekend.(对划线部分提问)________ ________ students going to have a food festival in the school?54. Susan would like to keep the lovely cat as her pet.(保持句意基本不变)Susan ________ ________keep the lovely cat as her pet.55. Gary often played coputer games. But now he doesn’t play them any longer.(保持句意基本不变)Gray ________ ________ play computer games. But now he doesn’t play them any longer.56. I, James, soon, hearing from, am looking forward to(连词成句,注意大小写和标点符号)___________________________________________________________________________Part 3 Reading and WritingⅡ. Readign comprehension.A. Choose the best answer.You don’t have much time for your diary, but you really want to remember your important moments in life. Nine Square Diary (九宫格日记) is coming to help you. This new kind of diary has nine squares. And they are about nine different parts in life, such as plans, feelings and health. Writing this diary is just like filling in blanks. I like it because it is so convenient that you can finish it in only a few minutes.The above is a page of Nine Square Diary from Sun Ning, a middle school student.57. You will write down something in the part“_____”when you catch a bad cold.A. PlanB. ProgressC. DreamD. Health58. You are going to buy things for your picnic. It’s a ______.A. feelingB. planC. dateD. progress59. The word“select”in the part of“Progress”probably means _____.A. chooseB. loveC. washD. eat60. Nine Square Diary is really a good way for you to _____.A. help othersB. show your feelingsC. remember important momentsD. have nice dreams61. The writer thinks it a(n) _____ way to write a diary with the help of Nine Squares.A. interestingB. convenientC. differentD. happyB. Choose the best answer and complete the passage.Do you want to be 100 years old? You can learn from the Japanese. There are more than 20,000 men and women over 100 years old in Japan. You may ask,“Why do they ___62___ so long? They have a lot of stress(压力).”Yes. They usually work long hours and change their way in crowded trains. And just like in other countries, many people have bad ___63___--they often drink alcohol and they smoke. What’s more, many people don’t get a lot of sleep, and they hardly ever take holidays. So, what is the secret?Dr. Shibahara, 92, has some ideas.“It’s the diet. The Japanese diet is very ___64___.”People drink green tea two or three times a day. They eat fish two or three times a week and only sometimes eat meat.“___65___ is very important,”says Dr. Shibahara. Japanese people usually walk a lot. Everyday Dr. Shibahara takes the stairs, not the elevator(电梯). He ___66___ spends time with otherpeople. He takes night classes, goes to the movies with his grandchildren and often goes onpicnics with his life. She is 89!“Lonely people die young,”Dr. Shibahara says.“Eat well, walkmore, and spend more time with family and friends,”he advises.62. A. work B. live C. study D.play63. A. habits B. foods C. drinks D.hobbies64. A. big B. delicious C. strange D. healthy65. A. Sleep B. Study C. Exercise D. Play66. A. already B. still C. also D. neverC. Fill in the blanks with proper words.Before the 16th century, people in Europe didn’t have a lot of the things that we eatand drink every day. At the end of the 15th century, people from Europe s___67___ totravel to other parts of the world. They went to America, Africa and Asia. They broughtback a lot of new kinds of food.Chocolate came from Mexico. The Aztecs there drank chocolate with pepper! Andtoday chicken with chocolate sauce is a popular m___68___ in Mexico. The Spanishbrought chocolate to Europe and they were the first to put sugar in it. Until the 1870’s,chocolate was o___69___ a drink. The Swiss made the first bar of chocolate in 1876.Tomatoes and peppers came from Mexico, too. The Spanish brought seeds back toSpain and g___70___ the plants there. Soon they spread to other countries in Europeand then to other parts of the world.Coffee came from Africa. The Turks took it to Turkey and then to Europe.Tea came from China in the 17th century. At first it was very e___71___ and rich peopledrank it, but in the 19th century the British started to plant tea in India. They produced a lot,so it was cheap and everybody drank it.D. Answer the questions.“Tell me a story Grandpa!”“Okay,”says Grandpa.“I’ll tell you a story about my grandfather, Carlo. In 1910, Carlo was 10 years old. He and his family lived in Italy. They were very poor, so they came to the United States for a better life.”“Really? I’m ten, too.”says Henry,“And Mom, Dad, and I visit a different country every summer!”“Yes, Henry. Things are different now,”says Grandpa.“How did they go here?”asks Henry.“By ship,”say Grandpa.“It wasn’t an easy trip because the ship was crowded and dirty. There wasn’t much food and many people got sick. Carlo was sick, too. They arrived at Ellis Island in New York after ten days.”“Wow! That’s slow!”says Henry.“Now it only takes about nine hours in an airplane.”“I know,”say Grandpa.“It’s very different today.”“What happened at Ellis Island?”asks Henry.“Doctors checked everyone, and Carlo was very scared(害怕). People who weren’t healthy couldn’t enter New York,”says Grandpa.“The clerks asked them many questions.”“What questions, Grandpa?”asks Henry.“Where are you from? Are you healthy or are you sick?”say Grandpa.“Luckily, Carlo was feeling better so they let him in. And that’s why we live here today and not in Italy.”“That was a cool story, Grandpa!”says Henry.“I have an idea. Let’s take a trip to Italy, by airplane.”72. Where did Carlo’s family move when he was 10?73. When do Henry and his parents visit a different country?74. How can one get to Ellis Island from Italy in about nine hours?75. What was Carlo’s feeling when doctors checked him at Ellis Island?76. Why does Henry want to take a trip to Italy?Ⅱ. Writing.77. Write at least 50 words about the topic“I want to be a(n) ___(job)”.(请按下列要求,以“我想成为一名_______(职业)”为题写话,不少于50词,标点符号不占格。