重庆实验外国语学校和一外的区别
重庆实验外国语学校2023-2024学年初三数学试题
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（满分150分，考试时间120分钟重庆实验外国语学校2023-2024学年（上）初三数学试题（第六套）） 一、选择题：（本大题10个小题，每小题4分，共40分）在每个小题的下面都给出了代号A、B、C、D的四个答案，其中只有一个是正确的，请将答题卡上题号右侧正确答案所对应的方框涂黑．
1. −5的倒数是（ ）
A．51 B．−
5
1 C．5 D．−5
2.以下是回收、绿色包装、节水、低碳四个标志，其中为中心对称图形的是（ ）
A. B. C． D． 3．如图，直线a，b被直线c所截，//ab，=145，则2的度数为（ ）
A. 145 B. 135 C. 1250 D. 45
3题图 5题图 4. 下列各点中，在反比例函数xy=−
6图象上的点是（ ）
A.1,6（） B.−−6,1（） C.61（，） D.−23（，） 5. 如图，△ABC与△DEF是位似图形，点O为位似中心，OCCF=:1:2．若ABC的周长为4，则
DEF
的周长是（ ） A．4 B．8 C．12 D．16
6. 抛物线yxax=−−228经过−3,m（）和5m（，），则抛物线的最低点为（ ）
A.−1,9（） B.−1,9（） C.−28（，） D.−20（，） 7. 有一个人患了流感，经过两轮传染后共有169个人患了流感，设每轮传染中平均一个人传染了x个人，则下列
方程正确的是（ ） A．xxx+++=1(1)169 B．xx+=(1)169 2 / 6
C．169)1(=++xxx D．1692=+xx 8. 如图，ABC内接于O，AB是O的直径，ABDE⊥于点F，6=AF，8=DF， 连接BE，CBEABE=，则BC的长度为（ ）
A．314 B．5 C．316 D．33
9． 如图，在正方形ABCD中，O为对角线BD的中点，E为正方形内一点，连接BE，CE，CEBCBE=，延长BE，与ECD的平分线交于点F，连接OF，若223=OF，则正方形ABCD的边长为（ ）
重庆市九龙坡区重庆实验外国语学校2022-2023学年八年级上学期开学数学试卷(含答案)
2022-2023学年重庆实验外国语学校八年级（上）开学数学试卷（附答案与解析）一、选择题：（本大题12个小题，每小题4分，共48分）在每个小题的下面，都给出了代号为A、B、C、D的四个答案，其中只有一个是正确的，请将答题卡上题号右侧正确答案所对应的方框涂黑。
1．（4分）在实数：3.1010010001，，，π中，无理数是（）A．3.1010010001B．C．D．π2．（4分）下列调查中，适宜采用全面调查（普查）方式的是（）A．对全国初中生视力情况的调查B．对暑期重庆市中小学生的阅读情况的调查C．疫情期间，对进入重庆市科技馆的游客“渝康码”的检查D．对重庆市各大超市蔬菜农药残留量的调查3．（4分）已知a＞b，则下列结论正确的是（）A．3﹣a＜3﹣b B．﹣a＞﹣b C．a2＞b2D．5a＞3b4．（4分）一个三角形三个内角的度数之比为2：4：7，这个三角形一定是（）A．直角三角形B．等腰三角形C．锐角三角形D．钝角三角形5．（4分）如图，在△ABC和△ABD中，已知AC＝AD，则添加以下条件，仍不能判定△ABC≌△ABD的是（）A．BC＝BD B．∠ABC＝∠ABD C．∠C＝∠D＝90°D．∠CAB＝∠DAB 6．（4分）下列命题中，是真命题的是（）A．平方根等于它本身的数是0和1B．的算术平方根是4C．5是25的平方根D．有理数分为正有理数和负有理数7．（4分）已知在平面直角坐标系中，点A（m+4，2m+3）位于第四象限，则m的取值范围是（）A．m＞﹣B．m＜﹣4C．﹣4＜m＜D．﹣4＜m＜﹣8．（4分）《孙子算经》中有这样一个数学问题：今有木，不知长短，引绳度之，余绳四尺五寸；屈绳量之，不足一尺．木长几何？意思是：用一根绳子去量一根长木，绳子还剩余4.5尺；将绳子对折再量长木，长木还剩余1尺，木长多少尺？小明同学准备用二元一次方程组解决这个问题，他已列出一个方程是x﹣y＝4.5，则符合题意的另一个方程是（）A．x+1＝y B．2x+1＝y C．x﹣1＝y D．2x﹣1＝y 9．（4分）如图，AD，BE是△ABC的高线，AD与BE相交于点F．若AD＝BD＝6，且△ACD的面积为12，则AF的长度为（）A．4B．3C．2D．1.510．（4分）观察下列图形，图①中有7个空心点，图②中有11个空心点，图③中有15个空心点，…，按此规律排列下去，第50个图形中有（）个空心点．A．196B．199C．203D．20711．（4分）若关于x的不等式组恰好有3个整数解，且关于y的方程的解是非负数，则符合条件的所有整数m之和是（）A．﹣6B．﹣5C．﹣3D．﹣212．（4分）如图，已知在四边形ABCD中，AC为对角线，∠B＝90°，AB＝BC，AC＝AD，在BC边上取一点E，连接AE、DE．若∠DAC＝2∠BAE，现有下列五个结论：①∠DEC ＝∠DAC；②∠BAE与∠ACD互余；③AE平分∠BED；④DE＝AB+BE，⑤S△ADC＝S△CED+S△ABE，其中正确的命题个数有（）A．2个B．3个C．4个D．5个二、填空题：（每小题4分，共32分）请将每小题的答案直接填在答题卡中对应的横线上。
重庆市九龙坡区重庆实验外国语学校2023-2024学年七年级上学期期末数学试题(含解析)
2023-2024学年度（上）七年级期末考试数学试题（满分150分，120分钟完成）一、选择题：（本大题共10个小题，每小题4分，共40分）在每个小题的下面，都给出了代号为A 、B 、C 、D 的四个答案，其中只有一个是正确的，请将答题卡上对应题目的正确答案标号涂黑．1．下列四个数中，最小的是（ ）A ．0B ．C ．1D ．2．若单项式与是同类项，则的值分别为（ ）A ．B ．C ．D ．3．将一副三角板如图摆放，若，则的度数为（ ）A ．B ．C ．D ．4．下列说法正确的是（ ）A ．对顶角相等B ．两条直线被第三条直线所截，同位角相等C ．过一点有且只有一条直线与已知直线平行D ．直线外一点到这条直线的垂线段，叫做点到直线的距离5．已知，求的值为（ ）A ．2000B ．2008C ．2016D ．20246．如图，下列条件中，能判断的是（ ）4-1-32a b x y +2a x y -,a b 3,1a b ==-3,1a b =-=3,1a b ==3,1a b =-=-30BOC ∠=︒AOD ∠120︒130︒140︒150︒240a a +-=2332012a a ++AB CD ∥A ．B ．10．某多项式除首尾两项外其余各项都可删减，对值，并用减号连接，则称此为两项，三项．“删减变形”只针对多项式，同时去掉与180α︒-180︒x z m n --++y -17．已知关于的方程有正整数解，则整数的所有可能的取值之和x 3(2)6x ax --=a20．若一个四位自然数去掉个位与十位数字后得到的两位数恰好是个位数字与十位数字的和的9倍，则这个四位数为“九数”；又如：，M M 4525M =459≠ M a b证明：∵，，（已知）①② （ ③ ），（已知） ④ （ ⑤ ）(1)求证：；(2)若平分，求26．列方程解应用题：甲、乙两个工程队共同承包了一项总长度为计划由甲、乙两个工程队分别从两端同时开始施工，每天比甲队多施工120米．BD AC ⊥EF AC ⊥90BDF EFC ∴∠=∠=︒BD ∴∥2∴∠=12∠=∠ 1∴∠=DG AC ∥EF ,30DEC GDE ∠∠=︒∠(1)如图1．点在直线、之间，连接、，若，则的度数为______；(2)如图2，点在直线的上方，平分平分，延长交交于点，若，求的度数；(3)如图3，点在直线的上方，平分交于点．将绕着点以每秒的速度逆时针方向旋转得，旋转时间为：秒：同时将射线绕着点以每秒的速度顺时针方向旋转得射线，当射线与射线首次重合时，和射线同时停止转动．在旋转过程中，作的角平分线，作的角平分线，请直接写出当时的值．参考答案与解析1．B 【分析】本题主要考查有理数大小的比较，熟练掌握有理数大小比较的方法是解题的关键．根据正数负数；两个负数比较大小，绝对值大的反而小进行判断即可．【详解】解：，这四个数中，最小的数是．C MN GH AC BC 24,40NAC CBH ∠=︒∠=︒ACB ∠C MN AE ,CAN BF ∠GBC ∠EA BFD 21,20CAE ACB ∠=︒∠=︒BDE ∠C MN 40,100,CAN CBG BF ∠=︒∠=︒GBC ∠MN F CAN ∠A 1︒C AN ''∠t BF B 3︒BF 'BF 'BG CAN ∠BF C AN ''∠AP F BH ∠'BQ AP BQ ∥t 0>>4101-<-<< ∴4-故选：B2．A【分析】根据同类项的定义进行解答即可．本题考查了同类项的定义：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．掌握同类项的定义是解题的关键．【详解】由题意得，解得，．故答案为：A3．D【分析】本题考查角的和差，结合已知条件求得的度数是解题的关键．由题意可得，然后利用角的和差计算即可．【详解】解：由题意可得，∵，∴，∴，故选D ．4．A【分析】本题主要考查了平行线的性质、平行公理、点到直线的距离，熟记各定义和性质是解题关键．【详解】解：A 、对顶角相等，故A 正确；B 、两条平行直线被第三条直线所截，同位角相等，故B 错误；C 、过直线外一点有且只有一条直线与已知直线平行，故C 错误；D 、从直线外一点到这条直线的垂线段的长度，叫做这点到直线的距离，故D 错误．故选：A ．5．D【分析】本题考查了求代数式的值，熟练掌握整体的思想是解答本题的关键．用整体代入法求解即可．【详解】解：∵，∴，32a ab =⎧⎨+=⎩3a =1b =-AOC ∠90AOB COD ∠=∠=︒90AOB COD ∠=∠=︒30BOC ∠=︒903060AOC AOB BOC ∠∠∠=-=︒-︒=︒6090150AOD AOC COD ∠=∠+∠=︒+︒=︒240a a +-=24a a +=∴．故选D ．6．C【分析】本题主要考查了平行线的判定，能根据图形准确找出同位角、内错角和同旁内角是解决问题的关键．结合图形分析两角的位置关系，根据平行线的判定方法逐项进行判断即可得到结论．【详解】解：，，故A 选项不符合题意；，不能判定，故B 选项不符合题意；，，故C 选项符合题意；，，故D 选项不符合题意；故选：C ．7．D【分析】本题考查了一元一次方程的应用，解答本题的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．根据快马可追上慢马时与慢马所走的路程相等列方程即可．【详解】解：由题意，得．2332012a a ++()232012a a =++3420122024=⨯+=180D A B A B C ∠+∠=︒ AD BC ∴∥B D ∠=∠ AB CD ∥12∠=∠ AB CD ∴∥34∠∠= AD BC ∴∥270180(12)x x =+由点E ，F 分别是线段、的中点，得由点E ，F 分别是线段、的中点，得AB BC AB BC26．(1)甲原计划每天修，乙原计划每天修(2)甲工程队提高效率后平均每天施工【分析】本题考查的是一元次方程的应用，确定相等关系是解本题的关键．（1）设甲原计划每天修米．则乙为米．利用“原计划由甲、乙两个工程队分别从两端同时开始施工，恰好9天完成整个工程”建立一元一次方程求解即可；（2）设甲提高后速度为米/天，由各部分的工作量之和等于总工作量列方程求解即可．【详解】（1）解：设甲原计划每天修米．则乙为米．,解得：,乙：,答：甲原计划每天修，乙原计划每天修．（2）设甲提高后速度为米/天解得：答：甲工程队提高效率后平均每天施工．27．(1)；(2)(3)19或20【分析】本题考查了列代数式，一元一次方程的应用，解题的关键是理解题意，正确列代数式，找到相等关系列方程求解．（1）依题意可知，分别列出甲、乙商品的销售价格即可；（2）根据利润为售价减去成本列方程即可解答；()18030275DEG ∴∠=︒-︒÷=︒180EDG DEG DGE ∠+∠+∠=︒Q 180307575DGE ∴∠=︒-︒-︒=︒180DGE DGF ∠+∠=︒18075105DGF ∴∠=︒-︒=︒240m 360m360mx (120)x +y x (120)x +9(120)5400x x ++=240x =240120360m +=240m 360m y (240360)655400y +⨯+=360y =360m 1.5m 0.810.4m +12m =（3）求出选择优惠方案一一次性付款，两种优惠方案结合应付款数，比较即可．【详解】（1）解：（元），元，故答案为：，；（2）解：由题意得，整理得，解得；（3）解：妈妈选择优惠方案一一次性付款，应付款（元），如果选择优惠方案二一次性付款，应付款（元），如果选择两次购物，可选择如下：方法一：购买一盒草莓60元，一盒蓝莓20元，选择优惠方案一付款，应付款（元），购买一个进口车厘子礼盒380元，选择优惠方案二付款，应付款（元），则共付款（元）；方法二：购买一盒草莓60元，选择优惠方案一付款，应付款（元），购买一个进口车厘子礼盒380元，一盒蓝莓20元，选择优惠方案二付款，应付款（元）；则共付款（元）；∴从优惠的角度看，小优最多还能为妈妈节省（元），故答案为：19．28．(1)(2)(3)综上所述，当时的值为18或90【分析】（1）根据平行线的性质解决；（2）根据角平分线的定义及三角形外角的性质即可解决；（3）根据角平分线的结合平行线的性质，分情况列方程解决．()150% 1.5a m m =+=()()3100.80.810.4b m m =++⨯=+1.5m ()0.810.4m +()()800.810.432001.5760m m m m +--+-=()807.40.2100760m m -+=2m =()60203800.810358++⨯-=()60203800.75345++⨯=()60200.81054+⨯-=3800.75285⨯=54285339+=600.8543⨯-=()380200.75300+⨯=43300343+=35833919-=64︒80BDE ∠=︒AP BQ ∥t，，，，，平分，MN GH ∥CP GH ∴∥,NAC ACP CBH BCP ∴∠=∠∠=∠21CAE OAE ∴∠=∠=︒2021AOB C OAC ∴∠=∠+∠=︒+︒MN GH ∥62AOB OBH ∴∠=∠=︒BF GBC ∠11，，由题意得：解得：；当点在下方时，反向延长，，由题意得：解得：；综上所述，当时的值为【点睛】本题考查了平行线的性质、,MN GH AP BQ ∥∥PAN ATB QBH ∴∠=∠=∠11805034022t t --+⨯=18t =BQ GH ,MN GH AP BQ ∥∥PAN ARH GBQ ∴∠=∠=∠13401802t +⨯=-90t =AP BQ ∥t。
重庆市九龙坡区重庆实验外国语学校2023-2024学年九年级上学期期末数学模拟试题
重庆市九龙坡区重庆实验外国语学校2023-2024学年九年级上学期期末数学模拟试题一、单选题1．6的倒数是（ ）A ．16-B ．0.6-C ．16D ．62．由五个大小相同的正方体搭成的几何体如图所示，从左面看该几何体的形状图是（ ）A ．B ．C ．D ． 3．如图，点A 为反比例函数k y x=图象上一点，过A 作AB x ⊥轴于点B ，连接OA ，若ABO V 的面积为4，则k 的值为（ ）A ．8B ．4C ．4-D ．8-4．已知两个相似三角形的对应边之比为1：3，则它们的周长比为（ ） A ．1：9 B ．9：1 C ．1：6 D ．1：35．将含45︒角的一个直角三角板和一把直尺如图放置，若260∠=︒，则1∠的度数是（ ）A ．60︒B ．70︒C ．75︒D ．80︒6．估计( ） A ．3和4之间 B ．4和5之间 C ．5和6之间 D ．6和7之间 7．如图，第①个图形中有1个正方形，按照如图所示的方式连接对边中点得到第②个图形，图中共有5个正方形；连接第②个图形中右下角正方形的对边中点得到第③个图形，图中共有9个正方形；按照同样的规律得到第④个图形、第⑤个图形……，则第⑥个图形中正方形的个数是（ ）① ② ③ ④A ．17B ．21C ．25D ．298．如图，AB 为O e 的切线，切点为A ，连接OA 、OB ，OB 交O e 于点C ，点D 在O e 上，连接CD 、AD ，若301ADC OC ∠=︒=，，则AB 的长为（ ）．A．1 B C ．2 D ．49．如图，在正方形ABCD 中，对角线AC ，BD 相交于点O ，E 为OB 上一点，过点E 作EF BC ∥交OC 于点 F ，连接CE ，DF ． 若115DFE ∠=︒，则BCE ∠的度数为（ ）A ．35︒B ．30︒C ．25︒D ．20︒10．依次排列的两个整式,a b ，将第1个整式乘以2再减去第2个整式，称为第1次操作，得到第3个整式2a b -；将第2个整式乘以2再减去第3个整式，称为第2次操作，得到第4个整式32b a -；将第3个整式乘以2再减去第4个整式，称为第3次操作，得到第5个整式65;a b -L L ，以此类推，下列4个说法，其中正确的结论有（ ）①第7个整式为2221a b -②第34个整式中a 系数的绝对值比b 系数的绝对值大1③第11个整式与12个整式所有系数的绝对值之和为1024④若1a b ==，则第2023次操作完成后，所有整式之和为2025A ．1个B ．2个C ．3个D ．4个二、填空题11．计算()()302122π-⎛⎫-+---= ⎪⎝⎭．12．函数y =x 的取值范围是． 13．已知一个正多边形的内角是135o ，它是边形.14．在A B C D Y 中，现有以下四个条件：①AC BD =，②AC BD ⊥，③90ABC ∠=︒，④AB BC =，小马准备从以上四个条件中，随机选出两个，可以得出ABCD Y 为正方形的概率为． 15．如图，在扇形AOB 中，90AOB ∠=︒，点C 为OA 的中点，CE OA ⊥交弧AB 于点E ，以点O 为圆心，OC 的长为半径作弧CD 交OB 于点D ，若6OA =，则阴影部分的面积为．16．四边形ABCD 中，45ABC CAB ADC ∠=∠=∠=︒，ACD V 面积为48且CD 的长为12，则BCD V 的面积为．17．已知关于x 的不等式组14225x x a +⎧≤⎪⎨⎪->⎩至少有3个整数解，且关于y 的分式方程8122ay y y-=---有整数解，那么满足条件的所有整数a 的和是． 18．如果一个四位自然数M 各数位上的数字均不为0，将M 的千位和个位上的数字对调，同时将M 的百位和十位上的数字对调，得到新的四位数N ，称N 为M 的“一对称数”，并规定()9M N F M -=．例如：3412的“对称数”为2143，()3412214334121419F -==，则()2176F =；若6500201s m =++（m 为整数，14m ≤≤），320107t n =++（n 为整数，19n ≤≤），且29m n +>，s 和t 的各数位数字均不为0，且s 的“对称数”与t 的“对称数”之和能被9整除，规定()()k F s F t =-，则k 最大值为．三、解答题19．计算：（1）（x +3y ）（x ﹣y ）﹣（x +y ）2（2）（a ﹣1﹣81a +）22691a a a -+÷- 20．如图，已知平行四边形ABCD ．(1)用尺规完成以下基本作图：在CB的延长线上取点E，使CE＝CD，连接DE交AB于点F，作∠ABC的平分线BG交CD于点G．（保留作图痕迹，不写作法）(2)在第（1）问所作的图形中，求证：四边形BFDG为平行四边形．证明：∵BG平分∠ABC∴∠ABG＝∠CBG∵四边形ABCD为平行四边形∴AB∥CD∴∠ABG＝∠CGB，∠CDE＝∠BFE∴∠CGB＝①∴CB＝CG．∵CE＝CD，CB＝CG∴CE﹣CB＝CD﹣CG，即BE＝②∵CD＝CE∴∠CDE＝③∵∠CDE＝∠BFE，∠CDE＝∠BEF∴∠BFE＝④∴BE＝BF∵BE＝DG，BE＝BF∴DG＝⑤∵AB∥CD，DG＝BF∴四边形BFDG为平行四边形．（推理根据：⑥）21．受到“新型肺炎”影响，全国中小学未能按时开学，为响应国家“停课不停学”的号召，重庆某重点中学组织全校师生开展线上教学活动，体育备课组也为同学们提出了每日锻炼建议．疫情过去开学后，体育组彭老师为检测同学们在家锻炼情况，在甲、乙两班同学中各随机抽取20名学生进行检测，并对数据进行了整理、分析．下面给出了部分信息：甲班:33,35,38,39,39,41,42,43,43,44,45,46,46,47,48,49,49,49,50,50乙班成绩在4045x ≤<中的数据是41,43,41,44,42,40,43整理数据：分析数据：根据以上信息，回答下列问题：()1a =b =c =()2根据以上数据，你认为哪个班级在家体育锻炼的效果比较好，请说明理由(1条理由即可)．()3已知九年级共有2000名学生，请估计全年级体育成绩大于等于45分的学生有多少人？ 22．请列方程解决下面的问题：小明自主创业开了一家服装店，因为进货时没有进行市场调查，在换季时积压了一类服装．为了缓解资金压力，小张决定将这类服装打折销售．若每件服装按标价的五折出售将亏90元，而按标价的九折出售将赚30元．(1)请你算一算每件服装的标价和进价各是多少元？(2)该服装改款后，小张又以同样的进价进货50件，若标价不变，按标价销售了30件后，剩下的服装进行甩卖，为了保证这批服装总利润率达到10%，小张最低能打几折？ 23．如图，在矩形ABCD 中，6AB =，4=AD ，点E 为CD 的中点，动点P ，Q 同时从点E 出发，点P 以每秒1个单位长度沿折线E D A →→方向运动到点A 停止，点Q 也以每秒1个单位长度沿折线E C B →→方向运动到点B 停止．设运动时间为x 秒，APQ △的面积为y ．(1)请直接写出y 关于x 的函数表达式并注明自变量x 的取值范围；(2)在给定的平面直角坐标系中画出这个函数的图象，并写出该函数的一条性质；(3)若直线1y x m =+与y 的图象有且只有一个交点，请直接写出m 的取值范围________． 24．在公园里，同一平面内的五处景点的道路分布如图所示，经测量，点D 、E 均在点C 的正北方向且600CE =米，点B 在点C 的正西方向，且BC =点B 在点A 的南偏东60°方向且400AB =米，点D 在点A 的东北方向．( 1.414≈ 1.732≈，2.449≈)(1)求道路AD 的长度(精确到个位)；(2)若甲从A 点出发沿——A D E 的路径去点E ，与此同时乙从点B 出发，沿——B A E 的路径去点E ，其速度为40米/分钟．若两人同时到达点E ，请比较谁的速度更快？快多少？(精确到十分位)25．如图，在平面直角坐标系中，抛物线()20y ax bx c a =++≠与x 轴交于()4,0A 、B −2,0 两点，与y 轴交于点()0,4C ．(1)求抛物线的函数表达式；(2)点P 是抛物线上位于直线AC 上方一动点，且在抛物线的对称轴右侧，过点P 作y 轴的平行线交直线AC 于点E ，过点P 作x 轴的平行线与抛物线的对称轴交于点F ，求PE PF +的最大值及此时点P 的坐标；(3)在（2）中PE PF +取得最大值的条件下，将该抛物线沿x 轴向右平移6个单位长度，平移后的抛物线与平移前的抛物线交于点H ，点M 为平移前抛物线对称轴上一点．在平面直角坐标系中确定一点N ，使以点H ，P ，M ，N 为顶点的四边形是菱形，写出所有符合条件的点N 的坐标，并写出求解点N 的坐标的其中一种情况的过程． 26．如图，ABC V 是等腰直角三角形，45ABC ∠=︒，AB AC =，点D 是AC 上任意一点，点H 是射线BC 上一点，连接BD ，AH ．(1)如图1，当点H 在线段BC 上时，若AH BD ⊥，AB =AH =HC 的长；(2)如图2，将ABD △绕点D 顺时针旋转90︒得到△FED ，连接CE ，连接AF ，CE 和AF 相交于点M ．求证：AD ；(3)如图3，连接DH ，将A D H V 沿AH 翻折得到AD H '△，连接BD '，若点F 是BD '的中点，且30ABD ∠=︒，2AD =，当CF 取最小值时，求BH CH的值．。
重庆实验外国语学校2023-2024学年七年级上学期期末模拟一数学试题
重庆实验外国语学校2023-2024学年七年级上学期期末模拟一数学试题一、单选题1．12-的倒数是（ ） A ．12 B ．12- C ．2 D ．2-2．下列计算正确的是（ ）A ．2222x y x y x y -=-B ．()2222a b a b +=+C ．()7310ab ab --=D ．()a b c a b c --=--3．如图所示的几何体是由6个大小相同的小立方体搭成，你认为从左面看到的几何体的形状应该为（ ）A ．B ．C ．D ．4．下列说法正确的是（ ）A ．两点的距离就是连接两点的线段B ．两点之间，直线最短C ．射线AB 和射线BA 是两条射线D ．两个锐角的和一定是锐角5．如图，已知点C 将线段AB 分成1:3的两部分，点D 是AB 的中点，若2CD =，则线段AB 的长为（ ）．A ．6B ．8C ．10D ．126．如图，∠1+∠2＝180°，∠4＝80°，则∠3＝（ ）A．80°B．100°C．110°D．120°7．如图，将一副三角尺叠放在一起，使直角顶点重合于点O，若3COB AOD∠=∠，OE为AOD∠的角平分线，则COE∠的度数是（）A．45︒B．60︒C．65︒D．67.5︒8．元旦假期小李去歌乐山爬山，上山每小时走4km，下山时按原路返回，下山每小时走5km，结果上山比下山多花16小时，设下山所用时间为x小时，可列方程为（）A．1456x x⎛⎫-=⎪⎝⎭B．1456x x⎛⎫+=⎪⎝⎭C．1546x x⎛⎫-=⎪⎝⎭D．1546x x⎛⎫+=⎪⎝⎭9．如图是由边长为1的木条组成的几何图案，观察图形规律，第一个图案由1个正方形组成，共用的木条根数14S=，第二个图案由4个正方形组成，共用的木条根数212S=，第三个图案由9个正方形组成，共用的木条根数324S=，以此类推……那么第6个图案共用的木条根数6S为（）A．60 B．72 C．84 D．11210．将一副三角板按如图放置，三角板ABD可绕点D旋转，下列结论中正确的个数是（）（1）若CD平分∠ADB，则∠BCD＝125°（2）若AB//DF，则∠BDC＝10°（3）若∠ADF ＝120°，则∠ADC ＝75°（4）若AB ⊥FD ，则AB //EFA ．1个B ．2个C ．3个D ．4个二、填空题11．地球上陆地的面积约为2149000000km ，这个数用科学记数法表示为2km ．12．已知一个角的余角是这个角的补角的14，则这个角的度数为．13．已知单项式312m n x y +-与12n xy --的和为单项式，则m n -=． 14．已知关于x 的方程213x -=与3102a x --=有相同的解，则a =． 15．如图，是一个运算程序的示意图，若开始输入x 的值为2-，则输出的结果是．16．延长线段AB 至点C ，使得13BC AB =，点D 为线段AC 的中点，且6cm DC =，则AB 的长是cm ．17．已知方程()2323210m n m x y ---+=是关于x 、y 的二元一次方程．则m n +=． 18．如图，∠AOD=90°，∠AOB ：∠BOC=1：3，OD 平分∠BOC ，则∠AOC=度．19．如图，AB CD DCE ∠，P 的角平分线CG 的反向延长线和ABE ∠的角平分线BF 交于点F ，60E F ∠∠-=︒，则E ∠=．20．我们把13的倍数称为“大吉数”，判断一个数m 是否是大吉数，可以用m 的末三位数减去末三位数以前的数字所组成的数，其差记为()F m ，如果()F m 是“大吉数”，这个数就是“大吉数”．比如：数字253448，这个数末三位是448，末三位以前是253，则(253448)448253195F =-=，因为1951315÷=，所以(253448)F 是“大吉数”，那么253448也是“大吉数”．若整数151m n =+（其中09n ≤≤，且n 为整数）是“大吉数”，则m =．若,p q 均为“大吉数”，且1010110p x =+，4060101q y z =++（08,16,03x y z ≤≤≤≤≤≤，且x 、y 、z 均为整数），则()F p q +的最大值为．三、解答题21．计算： (1)1111164848612⎛⎫-⨯--+ ⎪⎝⎭(2)()()32126214-⨯+-÷-+- 22．解方程：(1)解方程：1051173x x -=+ (2)解方程组：3523153232x y x y +=⎧⎪-+⎨-=-⎪⎩ 23．先化简，再求值：()()232232332224xy y x y x y y xy y +---++-，其中2x =，=3y -．24．完成下面的证明推理过程，并在括号里填上根据．如图，DE BC ∥，DF 、BE 分别平分ADE ∠和ABC ∠，求证：FDE DEB =∠∠证明：DE BC Q ∥（已知）ADE ∴∠=________（ ）DF Q 、BE 分别平分ADE ∠和ABC ∠（已知）12ADF ADE ∴∠=∠，12ABE ABC ∠=∠（ ） ADF ABE ∴∠=∠∴________∥________（ ）FDE ∴∠=________（ ）25．如图，直线CD 、EF 交于点O ，OA ，OB 分别平分COE ∠和DOE ∠，且1290∠+∠=︒．(1)求证：AB CD ∥；(2)若2:32:5∠∠=，求AOF ∠的度数．26．某客运公司的甲、乙两辆客车分别从相距380千米的A ，B 两地同时出发相向而行，并以各自的速度匀速行驶，两车行驶2小时时甲车先到达服务区C 地，此时两车相距20千米，甲车在服务区C 地休息了20分钟，然后按原速度开往B 地；乙车行驶2小时10分钟时也经过C 地，未停留继续开往A 地．(1)求甲、乙两车行驶的速度分别是多少千米/小时：(2)乙车出发多长时间，两车相距200千米？27．W 商场10月份用72000元同时购进A 、B 两款服装共350件，其中A 款服装每件进价180元，B 款服装每件进价240元．(1)求商场10月份分别购进A ，B 两款服装各多少件；(2)商场决定将A 、B 两款服装按2:3的价格售出，销售一段时间后A 款服装售出了12，B 款服装售出了13，剩下的A ，B 两款服装恰好数量相等，为尽快售完，商场将B 款服装的售价提高50%，同时推出买一送一活动，即买一件B 款服装送一件A 款服装，直至两款服装全部售完，经结算10月份售出A ，B 两款服装共获利40%．那么B 款服装的原售价是多少元？(3)由于“双十一购物狂欢节”，京东，天猫等电商平台推出了预售，满减，送券，领红包等优惠活动，11月份该商场所有商品销量均减少．为吸引顾客，11月份商场对全场打折促销．店长根据市场调查推出两种促销方案如下（两种方案不能叠加享受）：方案一：顾客所购商品的原价总和每满300元送60元的现金券，无论用券与否原总价打九折；若有券，折后可用券抵扣．例如：某人购物总和为620元，则他实际付款为6200.9260438⨯-⨯=（元）．方案二：例如：某人购物原价总和1000元，则他实际付款：3000.93000.73000.61000.5710⨯+⨯+⨯+⨯＝（元）．已知小依选择方案一购物，小钟选择方案二购物，他们所购物品原价总和为1500元，且小钟所购物品的原总价高于小依．店员建议他们两人组合，一次性购买所有物品，并且选择最优惠的购买方案，这样比两人各自购物实际付款总额少84元．那么小依与小钟各自所购物品的原总价分别是多少元？28．已知：如图，AB CD ∥，直线EF 分别交AB CD ，于点G ，H ，点P 为直线EF 上的点，连接AP CP ，．(1)如图1，点P 在线段GH 上时，请你直接写出BAP DCP APC ∠∠∠，，的数量关系；(2)如图2，点P 在HG 的延长线上时，连接CP 交AB 于点Q ，连接HQ AC ，，若ACP PHQ CQH ∠+∠=∠，求证：AC EF ∥；(3)在（2）的条件下，如图3，CK 平分ACP ∠，GK 平分AGP ∠，GK 与CK 交点K ，连接AK ，若42PQH PCK PHQ ∠=∠+∠，CKG CHQ ∠=∠，21ACK ∠=︒，求BAC ∠的大小．。
重庆市九龙坡区实验外国语学校2023-2024学年七年级上学期期末英语试题
重庆市九龙坡区实验外国语学校2023-2024学年七年级上学期期末英语试题学校:___________姓名：___________班级：___________考号：___________一、语音题二、语法选择is his model plane? Oh, it’s on the sofa, near the bed.Andy 12 a computer in the room. He likes reading books on it. 13 near the computer is an English dictionary. He thinks the dictionary is very useful (有用的) and it 14 help him with his English. On the dictionary, there are two 15 and a brown watch, but the watch doesn’t work. He wants his mother 16 him a new (新的) one.7．A．a B．an C．the8．A．on B．between C．behind9．A．am B．is C．are10．A．He B．His C．Him11．A．What B．Where C．How12．A．have B．has C．having13．A．And B．But C．So14．A．must B．can C．can’t15．A．key B．keys C．keys’16．A．buy B．buys C．to buy三、完形填空that.All my family 25 nice to me. I always go to the library with my brothers and sister. I can always have fun with them. I 26 love my family.17．A．in B．on C．under D．near 18．A．uncles B．daughters C．brothers D．sons 19．A．library B．store C．school D．family 20．A．taking B．meeting C．playing D．doing 21．A．easy B．difficult C．boring D．interesting 22．A．me B．us C．them D．her 23．A．and B．but C．after D．so 24．A．sees B．watches C．helps D．says 25．A．is B．are C．am D．be 26．A．well B．really C．very D．only四、阅读理解). It’s beautiful and many students like27．Jason makes ________.A．a small house B．some pencil boxes C．a telephone D．some bottles 28．Carl needs ________ to make the pencil boxes.A．some pencils B．some telephones C．some plastic bottles D．some boxes 29．________ helps Annie make the telephone.A．Annie’s mother B．Jason’s father C．Annie’s father D．Carl’s motherHi, my name is Amy. I am twelve. We have a small toy (玩具) store near my school. After school, my mom takes me there to help my dad. In our store, children can play with theno toy is lost. Many children from my school often come to our store to see our new toys. Little girls like to go for dolls (玩偶), and boys go for cars. Some only want to play with the toys. Some really want to buy them. It’s not very relaxing for me but I like going to the store and helping my father.30．The toy store is ________.A．near Amy’s school B．near a book store C．near a clothes store D．near a fruit store31．________ takes Amy to help her dad after school.A．Amy’s teacher B．Amy’s mother C．Amy’s sister D．Amy’s brother 32．Boys like playing with ________ in the store.A．dolls B．cars C．planes D．computersA．努力的B．有趣的C．负责的D．热情的My uncle has two dogs, a big one and a small one. He likes them very much.One day, my uncle’s friend Mr. Smith comes to his home, and he sees two holes (洞) in the door, a big hole and a small hole. He is surprised (惊讶的) and asks, “My friend, why are there two holes in your door?” “I have two dogs. My dogs can come in and come out from the two holes.” My uncle says. “But why do you need two holes? One is enough (足够的)!” Mr. Smith asks. “But how can the big dog go through (通过) the small hole?” my uncle says.Mr. Smith laughs and says, “You can keep (保留) the big hole, and the small dog can go through it too.”34．My uncle has ________ dogs.A．one B．two C．three D．four35．The holes are for ________ to come in and out of his home.A．my uncle’s friends B．my uncle C．my uncle’s dogsD．my uncle’s childrenA．one dog B．one friend C．one hole D．one door 37．From the story, we know that ________.A．the big dog can go through the small hole B．the small dog can’t go through the big holeC．the two dogs can go through the big hole D．my uncle doesn’t like the small dogDear Yu Mei,Thank you very much for your e-mails. I know a lot about China from your e-mails. I want to go to China, but my Chinese isn’t very good. Now I am learning (学习) it from my parents in America. They know many things about China. They want to be English teachers in a middle school in Chongqing next year (明年).My parents says Chinese people like eating rice, meat and vegetables. Is it right? For me, I like bread and hamburgers. I like drinking (喝) milk and coffee. But many Chinese people like tea. How about you?What sports do you do? Do you like playing ping-pong? I know many Chinese are good at playing it. In America, you can always see students play basketball and baseball. But Idon’t play them. I think they are too difficult for me. After school, I like to go to the library. I really like books.Do you like books? Can you write (写) to me about your favorite book in your next email?Yours,Jenny 38．Jenny is learning Chinese from ________.A．her parents B．her grandparents C．Yu Mei D．her friends 39．Jenny likes eating ________.A．rice and vegetables B．meat and hamburgersC．bread and meat D．bread and hamburgers40．Jenny doesn’t talk about (谈论) ________ in this email.A．food B．sports C．clothes D．books41．Y u Mei may (可能) write about ________ in her next email.A．her family B．her favorite book C．Chinese food D．her friends❶Do you like apples? Apples are red, yellow or green. They are fruit and grow (生长) on apple trees. You can pick (采摘) them from the trees and eat them. Or you can buy some in the fruit store. Many fruit stores sell apples.❶In China, people like buying apples because they are good to eat. People like buying them for their friends and family as gifts (礼物). Because they think apples can bring (带来) them safety (安全).❶In the U.K, people eat apples in their breakfast, lunch and dinner. They think apples are very healthy fruit. There is a saying “An apple a day keeps the doctor away.” in the U.K. If you eat an apple a day, you can be healthy. That’s because apples have many vitamins (维生素).❶People in the U.K. make apples into different food, too. They make fruit salad, apple juice and so on.42．From Paragraph one (第一段), we know ________.A．some apples are green B．apples do not grow on treesC．we can’t buy apples in fruit stores D．people in China don’t like eating apples 43．Chinese people buy apples for friends because they think ________.A．apples are good to eat B．apples look goodC．apples are at good prices D．apples bring them safety 44．According to Paragraph 3 (根据第三段), we can infer (推断) that ________.A．everyone likes eating apples B．apples have many vitaminsC．doctors ask people to eat apples every day D．vitamins are good for our health 45．The best structure of the passage(文章结构) can be ________.A．❶/❶❶/❶B．❶❶/❶❶C．❶/❶/❶❶D．❶❶/❶/❶五、补全对话阅读下面对话，从7个选项中选择5个恰当的句子完成此对话。
2023年重庆外国语学校(一外)小升初数学试卷附详细答案
2023年重庆外国语学校(一外)小升初数学试卷(时间：60分 满分：100分)请将答案写在答题卡对应的区域。
2023.09.16一、填空题(每题3分，共30分) 1.若A=12+13+15+17+111+113，则A 的整数部分等于_______。
2.15+110+120+140+180+⋯+1102400.2×12+0.2×13+0.2×16=________。
3.20222020+2022×20212020×2019+2022×2021×20202020×2019×2018+...+2022×2021×…×4×32020×2019×…×2×1=_______。
4.5个小朋友在一起做游戏，他们的年龄各不相同，小贝的年龄不是最小的，那么小贝年龄最大的可能性是_______%。
5.把7根相同的棒棒糖分给3个小朋友，每人至少分得一根，那么一共有_____种分法。
6.两根铁棒直立于桶底水平的木桶中，木桶中加水后，一根铁棒在水面以上的长度是总长度的13，另一根在水面以上的长度是总长度的14，若两个铁棒长度之和是34厘米，则它们的长度之差是______厘米。
7.已知全天的每个整点(如8:00，9:00，……)从甲地发出一辆车到乙地，全天的每个半点(如8:30，9:30，……)，从乙地发出一辆车到甲地。
如果每辆交通车都行驶在同一条道路上，从甲到乙、从乙到甲，各需用时5小时，那么从甲行驶到乙的交通车在行驶途中，会与______辆从乙到甲的交通车相遇。
(不计算车站内相遇的车辆)。
8.abc ̅̅̅̅̅表示一个十进制的三位数，若abc ̅̅̅̅̅等于由a ，b ，c 三个数字所组成的全体两位数的和，则满足上述条件的三位数有______个。
9.0时0分时(时针分针均在12处)，时针和分针重合，请问1～12时之间(不含12时)，时针与分针总共重合______次。
重庆实验外国语学校2023-2024学年高一上学期期末考试英语试题
重庆实验外国语学校2023-2024学年高一上学期期末考试英语试题学校:___________姓名：___________班级：___________考号：___________一、阅读理解Many countries around the globe pride themselves on their lingual diversity. Here are a few of the most polyglot places on Earth.ArubaAruba sits in the far southern Caribbean sea near V enezuela. Dutch is an official language and is taught in all schools, both English and Spanish are also compulsory(必修的)languages in Aruba’s education system. However, none of these languages is considered the native language of Aruba on the street, at home locals communicate with one another in Papiament. Papiamento is an official language alongside Dutch, and it is used regularly in the media and in government.East TimorThis tiny young nation sits in the far south-eastern comer of the Indonesian Archipelago. Once a colony(殖民地)of Portugal, Timor decided to adopt Portuguese as an official language after independence. The local tongue, Tetum, is the most widely spoken language on the street. In addition, English and Indonesian are used throughout the country, and both are officially recognized as working languages.IndiaHindi and English are the official national languages of India, and the majority of educated Indians have knowledge of both, though English is preferred over Hindi in southern India. Each state in India has its own official language (s), most of which differ from Hindi. These languages are used in the local media and on the street.South AfricaSouth Africa has 11 official languages. In many urban areas, English is the lingua franca (通用语). It is also the main language of the government and media, even though less than ten percent of South Africans speak it as a first language. Afrikaans, a Germanic language similar to Dutch, is spoken in the southern and western regions of the country. South Africa has nine official Bantu languages, of which：Zulu and Xhosa are the most common. 1．Which of the following is the official language of Aruba?A．Dutch and Spanish.B．Dutch and Papiamento.C．Spanish and English.D．English and Papiamento.2．Which of the following is true according to the passage?A．Aruba was once a colony of Portugal.B．East Timor lies in the far southernCaribbean sea.C．English is preferred over Hindi in India.D．South Africa media uses English as the main language.3．What do these places have in common?A．They adopt English as an official language.B．They are education-centred places.C．They have more than two official languages.D．They are multilingual communities.The first time I realized that I had a love for sports competitions was during the Field Day in elementary school. Small for my age, and more of a bookworm than a sports lover, IDay, which focused on individual skills, was different. In the Softball Throw event, I got my first taste of sporting victory. Credit goes to the example of my first coach, my father. He lifted weights every morning at home. He bought us all baseball gloves and hats, and in the warm months, we spent hours playing catch.Once I got to sixth grade and switched to private school, our entire student body was assigned to either the Red or the White team. Throughout the year, we competed against each other in various games and exercises for points. I eventually became president of The Committee of Games. I also played on the field hockey team and the basketball team. And at home, playing tennis, skating, skiing and biking were simply normal things we did. During the break time, magazines were also quite popular for us teens. These regularly featured articles on physical exercise. Somehow, my college roommate and I took up the habit of completing Royal Canadian Air Force (RCAF) exercises every day, a practice that continued into my marriage, when we had no spare money to use to join a gym.So, though it shocks some of our friends, that early foundation continued in adulthood into a sports and fitness focus, considered important even on vacation. I still love reading and the arts, too. As far as I’m concerned, life is the richest with my feet in both worlds. 4．What does the underlined word “humiliation” mean in Paragraph 1?A．Stress.B．Threat.C．Shame.D．Glory.5．According to the author, what contributes to her victory in the Softball Throw event?A．Her confidence in her sports skills.B．The efforts she put into exercising.C．Her advanced sports gloves and hats.D．The strong influence of her father. 6．What happened after the author stepped into adulthood?A．She changed the focus into reading.B．She stuck to working out.C．She regularly exercised on weekends.D．She joined Royal Canadian Air Force. 7．What is the author’s purpose in writing the text?A．To express her love for sports.B．To show her father’s guidance on sports.C．To stress the advantages of physical exercise.D．To share her childhood memories about sports.You might think of martial arts movies when you see people performing graceful moves down a river, all standing on a bamboo strip, but actually it is a form of intangible cultural heritage: single bamboo drifting (独竹漂).Over 2,000 years ago, the high-quality wood, nanmu, in Guizhou was in great demand by the royal court in the north. With no better transportation, people had to stand on one log to drift down the river. Later, local people began to compete along the way and the game of wood drifting was born. In the Qing Dynasty, wood drifting became single bamboo drifting because of bamboo’s lower price. Due to various skills it takes for one to master this act, single bamboo drifting was included in the national intangible cultural heritage list in 2021.Yang Liu, an inheritor (继承者) of single bamboo drifting, learned it at 7. “Usually, the bamboo under our feet is about 9 meters long, and the bamboo in our hands is about 5 meters. If the length of the bamboo is not long enough, it will not float. Keeping our feet firmly positioned on the narrow bamboo pole is the key, so we should fight against the current (水流) by constantly changing the angle. I lost my balance and fell into the water many times while practicing. Once I fell, I gave it another try until I knew how to handle the most difficult part,” she said.The love for the ancient skill keeps Yang going. Yang also shows creativity when spreading the culture of single bamboo drifting. For example, she includes dance in single bamboo drifting to make it more graceful. As han fu culture has been on the rise, Yang started wearing hanfu while performing, creating a more beautiful feel. In 2020, Yang began to post her videos on social media. “I’m extremely proud to get the response from viewers that singlebamboo drifting makes the line between what is possible and impossible unclear. It’s my mission to keep it alive and make it known to more people,” Yang Liu told China Daily. 8．What can be learned from the first two paragraphs?A．Nanmu was delivered to the north by land.B．Single bamboo drifting needs lots of skills.C．Bamboo was costly in Guizhou over 2,000 years ago.D．The martial arts movie is a form of cultural heritage.9．What is the biggest challenge in learning single bamboo drifting?A．Keeping balance on a bamboo pole.B．Maintaining a fixed angle.C．Finding the proper bamboo.D．Holding the bamboo firmly in hands. 10．What do the viewers think of single bamboo drifting?A．It’s confusing.B．It’s impossible.C．It’s unbelievable.D．It’s effortless. 11．Which of the following is a suitable title for the text?A．Balancing with Grace B．Chinese Cultural HeritageC．A Creative Performer D．Transporting Bamboo down the RiverResearchers in China have found a new, genetically (基因上) pure species of the critically endangered Chinese giant salamander (中国大鲵) in the wild. The new species was found in a largely undisturbed part of the Jiulingshan National Nature Reserve in Jiangxi Province. The animals are the only known genetically pure, reproducing giant salamander population in its natural habitat in the country. “The discovery of the new species in a closed nature reserve provides hope that other genetically pure species may still exist in other such places,” said Robert Murphy, a professor at the University of Toronto and one of the co-authors of the study.The Chinese giant salamander is believed to have remained almost unchanged for 170 million years. While Chinese giant salamanders used to be thought of as one species, recent studies have revealed that there are five to eight genetically distinct species in the country. However, the species arc under great threat of extinction due to habitat loss, water pollution and overexploitation (过度开发) of wild populations over the past decades.Chinese giant salamanders have been protected in China since the 1980s. “After the discovery of multiple species of Chinese giant salamanders, China quickly put into place several actions, such as providing additional funding for critical research, establishing a seriesof nature reserves for the species, and promoting cooperation between scientists and biologists,” Murphy said.The researchers are now trying to track down more giant salamanders. Murpby said the discovery opened up new possibilities, such as establishing breeding farms with genetically pure salamanders to help populate ecosystems. In their paper, the researchers also stressed the importance of undisturbed habitats for protecting wildlife. “Closed nature reserves a new pathway for discovering and conserving endangered species,” they said.12．Why is the new discovery by Chinese researchers important?A．It confirms the need for more independent studies on biodiversity.B．It proves the genetic transformation of Chinese giant salamanders.C．It suggests the importance of increasing funding for nature reserves.D．It indicates the presence of other genetically pure species elsewhere.13．What can be learned from paragraph 2?A．Some species of Chinese giant salamanders have become extinct.B．Chinese giant salamander numbers have declined in recent decades.C．Chinese giant salamanders have remained unchanged for 170 million years.D．Some breeding programs have been launched to protect Chinese giant salamanders. 14．What is paragraph 3 mainly about?A．China’s lessons from the past.B．China’s cooperation with other countries.C．China’s efforts to protect giant salamanders.D．China’s ambition to develop new nature reserves.15．What would the researchers most probably agree with according to the last paragraph?A．More closed nature reserves should be established.B．Traditional conservation methods are more efficient.C．Mixed breeding can be used to protect endangered species.D．Large breeding farms are beneficial to the growth of giant salamanders.How to Feel ConnectedIt’s easy to feel disconnected from what is going on around you in today’s fast-paced world. 16 You can get in touch and feel connected, however, by following the tips below:Consider why you feel disconnected. Knowing what is making you feel disconnected can help you choose the best ways to address it. 17 Ask yourself these questions: Are you keeping yourself occupied with work too much? Do you rely on electronic communication instead of face to face communication? Do you lack friendships that are satisfying?Interact with people in person. Technology is a great way to stay in touch, but sometimes you need to spend time with other people in person. 18 Or simply visiting someone once a week can keep it strong. You can also take steps to feel more connected by making small-talk with strangers who are sharing parts of your day.19 Your loved ones could feel shy, so you may never know how to improve your relationship unless you ask the right questions. Asking them to open the doors can give you some insight on what you can do. Learning this information can help to strengthen your bond.Show your commitment to them. Simply showing up and being there for your loved ones says a lot about how much you value your relationships. Putting in the time shows them that you are committed and want to stay connected. 20A．Ask others what they need from you.B．Sometimes you can feel isolated and distant from the ones you love.C．Be brave to express your love.D．Reach out to people to schedule a time to get together.E．Attending family events can help to strengthen your relationship.F．Targeting your efforts toward those issues allows you to close that distance more effectively.G．You can have a gift delivered to friends on special occasions.二、完形填空Five years ago, my husband and I bought a farm. As we restore the land, I feel mybeds. The farm was holding our 25 together. Before my son went to treatment, we planted a “union” in the old farm to support the health of trees by grouping other helpful plants around them. We dug around and 26 the weaker trees. We placed in garlic, wildflowers, etc and the garden seems to grow well.We also learned how to depend on others. Our workman worked 27 and helped when I asked. Asking for help is a principle in the recovery community, a lesson my son is 28 . The desire to recover this land has continuously 29 in me and I have seen this 30 towards restoration in my son as well. It truly does take a village to rebuild a farm and a (an) 31 . And my son has found his own kind of union that 32 him.Owning a farm was never our 33 but it came when our family needed a 34 project. Digging is an act of faith, hope and 35 of what will appear next. 21．A．disappearing B．lasting C．returning D．crashing 22．A．song B．light C．shadow D．storm 23．A．secured B．found C．explored D．repaired 24．A．clear B．remove C．shelter D．access 25．A．patients B．friends C．staff D．family 26．A．turn to B．respond to C．attend to D．contribute to 27．A．steadily B．equally C．widely D．critically 28．A．preparing B．selecting C．processing D．learning 29．A．grown B．changed C．faded D．remained 30．A．gratitude B．contribution C．responsibility D．drive 31．A．house B．life C．organization D．career 32．A．supports B．impresses C．recognizes D．persuades 33．A．destination B．plan C．adventure D．belief 34．A．familiar B．flexible C．meaningful D．tough 35．A．prediction B．admiration C．expectation D．evaluation三、语法填空阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。
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重庆实验外国语学校和一外的区别
1.学校设置不同：重庆实验外国语学校位于重庆，是一所集国际课程、普通教育和学前教育的综合性国际学校，拥有小学部、初中部和高中部，专业覆盖英语、数学、物理、化学等数学类、理类专业；而一外则是一所特色鲜明的中外合作办学的民办比邻学校，以外语和文化课程为主，提供外语、艺术等课程。
2.收费标准不同：重庆实验外国语学校的收费标准较高，近几年收费标准已达到十万元以上，包括学费、住宿费、服装费等；而一外的收费标准则低于重庆实验外国语学校，通常在万元左右，不同班级的学费也不一样。
3.教学理念不同：重庆实验外国语学校以培养全面发展、具备国际视野的世界公民为教育目标，注重学生的外语综合能力，鼓励学生参加国际赛事、文化交流活动；而一外则保留中国传统文化的教育理念，以文化教育为主，注重培养学生的跨文化交际能力，激发学生的国学兴趣，努力提高学生的双语综合能力。