【全国校级联考】内蒙古北京八中乌兰察布分校2017-2018学年七年级下学期期末考试数学试题(原卷版)
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北京八中乌兰察布分校2017-2018学年第二学期期末考试初一年级语文试题(命题人:田素媛审核人:付晓霞分值 120 时间 120分钟)注意事项:1.答卷前,考生务必将自己的姓名、考号填写在答题卡上。
2. 将答案写在答题卡上。
写在本试卷上无效。
3. 考试结束后,将答题卡交回。
一、积累与运用(一)选择题:1. 下列各组词语中加点字注音有误的一项是()A. 拽.(zhuài)出来毋.(wú)宁坚持不懈.(xiè) 毛骨悚.(sǒng)然B. 威尔逊.(xùn) 贮.(zhù)藏拯.救(zhěng) 广阔无垠.(yín)C. 鲁莽.(mǎng) 销蚀.(shí)寒风凛冽.(liè) 忧心忡忡..(chóng)D. 厄.(è)运吞噬.(shì) 羸.(léi)弱告罄.(qìng)【答案】C【解析】试题分析:字音重点考核多音字、形声字、形似字、音近字、方言、生僻字等。
C项改为:忧心忡忡(chōng)。
2. 下列各组词语中字形有误的一项是()A. 五脏六腑千钧重覆风餐露宿惊心动魄B. 心有灵犀不期而至天涯海角屏息凝神C. 耀武扬威疲惫不堪鲁莽大胆洋洋得意D. 姗姗来迟白雪皑皑夜不成眠闷闷不乐【答案】A......... ......3. 下列句中加点词语使用不正确的一项是( )A. 老教授讲的话含蓄幽默,耐人寻味....。
B. 如果你在沙漠中行走,由于高温的天气,有时候你会看到周围有海市蜃楼....的景象。
C. 大家劝他不要为一点小事就整天怏怏不乐....,他总是不听劝说。
D. 他今年刚参加工作,毫无社会经验,工作起来常常是语无伦次....。
【答案】D【解析】试题分析:语无伦次,伦次:条理。
话讲得乱七八糟,毫无次序。
不能形容“工作”。
点睛:运用成语应注意的几个问题:1、注意理解成语的整体意义,不能望文生义;2、注意把握成语的结构特征,不能肢解其含义;3、注意成语语义的大小、适用范围,不要界限不清;4、注意把握成语的感情色彩,不要褒贬失当;5、注意把握成语的一词多义现象,不要“一概而论”。
蒙古北京八中学乌兰察布分校2024届七年级英语第二学期期末联考模拟试题满分120分,时间90分钟一、单项选择(共10小题,满分10分)1、Which of the following has a different pronunciation (发音) of “-ed”?A. neededB. walkedC. dancedD. liked2、You need to do your homework by ________.A. myselfB. himselfC. yourselfD. herself3、I have to go to school ________ bus on rainy days.A. atB. inC. ofD. by4、—Bill, will you get me the dictionary on that shelf, please?—I’m afraid I can’tit, Daddy. It’s too high.A. findB. reachC. sellD. read5、—What a sunny day! How about playing baseball?—________ Let’s go.A. That sounds good.B. It doesn’t matter.C. You are welcome.D. I don’t think so.6、Helen often helps Peter with ________ English.A. heB. himC. hisD. her7、—It’s already 7 p.m. Why are you so late today?—Sorry, but I worked ________ 6 p.m. and the traffic was busy.A. afterB. fromC. atD. till8、—Look, there is a cute bird, Mom.—It flew into our kitchenthe window just now, Alex.A. acrossB. throughC. aboveD. under9、—Let’s ________ a walk now.—That ________ great.A. take, soundsB. taking, soundingC. take, soundD. takes, sounds10、________ have known each other for ten years.A. I, you and heB. He, you and IC. You, he and ID. You, me and he二、补全对话(10分)11、根据下面的情景,在每个空白处填上适当的句子,使对话的意思完整、通顺。
2024年内蒙古乌兰察布市北京八中学分校七下英语期末学业水平测试试题满分120分,时间90分钟一、完形填空(10分)1、请认真阅读下面短文,从短文后各题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
When my brother and I were children, we spent a few weeks each summer in the countryside with our ___1___. He was a geologist(地质学家)and loved to go on long walks to ___2___ stones to add to his collection at the university.One day our uncle gave us two ___3___ and asked us to help him carry the stones. The whole day, we walked ___4___ the countryside, and every now and then, our uncle put stones in our bags. We were ___5___ surprised that sometimes he also took some stones out from our bags. We thought he had just found better ones.We got back home in the late afternoon. The bags were so heavy that we were really ___6___ when we put them on the ground. Yet our uncle’s bag was nearly ___7___.“Why did you give us so many stones?” we asked.“I didn’t. You did.” he said, waiting for a while before continuing. “You did not know it, but I gave you a little attitude(态度)test today. And whenever you ___8___ about anyone or anything, I put a stone in your bags. And whenever you talked about something in an attitude of positive (积极的)thinking, I ___9___ a stone. And now look at your bags.”The bags were ____10____ full.“Your negative(负面的)thoughts are like stones. You carry them in your ____11____ just like those stones in a bag. The more negative thoughts you have, the ____12____ your mind is. So look at those bags and start paying attention to what you say and ____13____ you talk about things”.This little ____14____ was one of the most important I ever had. And I remember my uncle with great love for ____15____ us one of the most important lessons of life—the power of attitude.1. A. brother B. uncle C. grandfather D. father2. A. make B. bring C. buy D. find3. A. hats B. shoes C. bags D. baskets4. A. around B. through C. over D. beside5. A. little B. a little C. few D. a few6. A. tired B. excited C. surprised D. interested7. A. new B. old C. full D. empty8. A. told B. complained C. agreed D. forgot9. A. worked out B. took out C. put out D. give out10. A. half B. hardly C. almost D. really11. A. head B. bag C. hand D. mind12. A. heavier B. lighter C. quicker D. stronger13. A. when B. why C. how D. where14. A. lesson B. word C. thought D. ideas15. A. learning B. teaching C. having D. reaching二、短文填空(10分)2、根据下列短文内容,在短文后的空格处填上一个恰当的词,使短文完整、通顺,每空一词。
内蒙古北京八中乌兰察布分校2017-2018学年七年级下学期生物期末考试试卷一、单选题1.下列营养缺乏症与其病因对应关系正确的是()A. 坏血病﹣缺乏维生素CB. 夜盲症﹣缺乏维生素DC. 地方性甲状腺肿﹣缺乏铁D. 佝偻病﹣缺乏维生素A【答案】A【考点】水和无机盐的作用,维生素的作用【解析】【解答】解:A、坏血病是由于缺乏维生素C形成的,A正确;B、夜盲症是由于缺乏维生素A形成的,B错误;C、缺碘会患地方性甲状腺肿,含铁的无机盐缺乏会得贫血,C错误.D、幼儿缺钙和维生素D会得佝偻病,D错误.故选:A.【分析】无机盐和维生素对人体都很重要,人体一旦缺乏,就会影响正常的生长和发育,还会引起疾病.2.如图为消化系统的部分结构,下列有关分析错误的是()A. 1是胆囊,贮藏的胆汁能乳化脂肪B. 2是小肠,它的内表面有许多皱襞C. 3是肝,属于消化道外的消化腺D. 5是胰,分泌的胰液中含胰岛素【答案】D【考点】食物的消化【解析】【解答】A、胆囊储存胆汁.胆汁中不含有消化酶,对脂肪起乳化作用,A不符合题意;B、2是小肠,其内表面有许多环形皱襞和小肠绒毛,增加了消化和吸收的面积,B不符合题意;C、3是肝脏,是人体最大的消化腺,位于消化道之外,C不符合题意;D、5是胰腺,胰腺包括内分泌部和外分泌部.外分泌部分泌胰液,属于外分泌腺;内分泌部是胰岛,属于内分泌部,胰岛分泌的是胰岛素,D符合题意。
故答案为:D【分析】消化系统的组成:3.下列疾病中,属于由激素分泌不足而引起的有()①贫血②白化病③巨人症④地方性甲状腺肿⑤肺结核⑥侏儒症A. ①④⑤B. ④⑥C. ②③④D. ③④⑥【答案】B【考点】激素调节【解析】【解答】生长激素的作用是促进人体的生长发育,幼年时,分泌过少会患侏儒症,分泌过多会患巨人症,成年后,分泌过多会患肢端肥大症,甲状腺激素的作用是促进生长发育和新陈代谢,提高神经系统的兴奋性,幼年甲状腺激素分泌过少,会患呆小症,分泌过多会患甲亢,糖尿病是因为胰岛素分泌不足引起的,贫血是由于缺铁引起的,白化病属于一种遗传病,肺结核属于传染病。
两直线平行判定(二)【知识点考查题】一、容易题1.(2017-2018重庆市江津区支坪中学月考)下列命题:①不相交的两条直线平行.②梯形的两底互相平行.③同垂直于一条直线的两直线平行。
④同旁内角相等,两直线平行. 其中真命题有()A.1个B. 2个C. 3个D. 4个【答案】A【考点】两直线平行的判定【考查能力】推理论证能力2.(2017-2018江苏海安县月考)如图,下列推理及括号中所注明的推理依据错误的是()A. ∵∠1=∠3,∴AB∥CD(内错角相等,两直线平行)B. ∵AB∥CD,∴∠1=∠3(两直线平行,内错角相等)C. ∵AD∥BC,∴∠BAD+∠ABC=180°(两直线平行,同旁内角互补)D. ∵∠DAM=∠CBM,∴AB∥CD(两直线平行,同位角相等)【答案】D【考点】两直线平行的判定【考查能力】推理论证能力3.(2017-2018青海省西宁二十一中月考)如图,若∠1=70°,∠2=110°,∠3=70°,则有().A. a∥bB. c∥dC. a⊥dD. 任两条都无法判定是否平行【答案】A【考点】两直线平行的判定【考查能力】推理论证能力4.(2017-2018重庆市重点中学八校联考)如图,下列条件中不能判定AB∥CD的是()A. 错误!未找到引用源。
B.C.D.【答案】C【考点】两直线平行的判定【考查能力】推理论证能力二、中等题5.(2017-2018北京市海淀区月考)如图,已知∠B=40°,要使AB∥CD,需要添加一个条件,这个条件可以是___.【答案】∠BED=40°【考点】两直线平行的判定【考查能力】推理论证能力6.(2017—2018重庆市荣昌区月考)如图,直线a,b与直线c相交,给出下列条件:①∠1=∠2;②∠3=∠6;③∠4+∠7=180°;④∠5+∠3=180°,其中能判断a//b的是______(填序号).【答案】①③④【考点】两直线平行的判定【考查能力】推理论证能力7.(2017-2018江苏省徐州外国语学校月考)如图,EF∥AB,FC∥AB,则可知点E、C、F 在一条直线上.理由是:__________.【答案】过直线外一点有且只有一条直线平行于已知直线【考点】两直线平行的判定【考查能力】推理论证能力【技能技巧考查题】一、较难题8.(2017-2018内蒙古北京八中乌兰察布分校月考)如图,已知BED B D ∠=∠+∠,求证: //AB CD .【答案】见解析试题解析:证明:延长BE 交CD 于F .BED ∠是DEF 的外角,(BED D EFD ∴∠=∠+∠三角形的一个外角等于和它不相邻的两个内角和),又BED B D ∠=∠+∠,(B EFD ∴∠=∠等量代换),//(AB CD ∴内错角相等,两直线平行).【考点】两直线平行的判定【考查能力】推理论证能力9.(2017-2018内蒙古北京八中乌兰察布分校月考)推理填空:如图,E 点为DF 上的点,B 为AC 上的点, 12C D ∠=∠∠=∠,,那么//DF AC ,请完成它成立的理由解:2314(∠=∠∠=∠, ______ ) 又12∠=∠34(∴∠=∠ ______ )∴ ______ // ______ ( ______ )(C ABD ∴∠=∠ ______ )(∠=∠______ )C D∴∠=∠______ )(D ABD∴______ )//(DF AC【答案】见解析试题解析:∵∠2=∠3,∠1=∠4(对顶角相等),又∵∠1=∠2,∴∠3=∠4(等量代换),∴DB∥CE(内错角相等,两直线平行),∴∠C=∠ABD(两直线平行,同位角相等),∵∠C=∠D(已知),∴∠D=∠ABD(等量代换),∴DF∥AC(同位角相等,两直线平行),故答案为:对顶角相等,等量代换,DB,CE,内错角相等,两直线平行,两直线平行,同位角相等,已知,等量代换,同位角相等,两直线平行.【考点】两直线平行的判定【考查能力】推理论证能力10.(原创题)如图,∠EAC=90°,∠1+∠2=90°,∠1=∠3,∠2=∠4.(1)如图①,求证:DE∥BC;(2)若将图①改变为图②,其他条件不变,(1)中的结论是否仍成立?请说明理由.【答案】见解析试题解析:(1)如图1,∵∠1=∠3,∠2=∠4,∴∠1+∠3+∠2+∠4=2(∠1+∠2),∵∠1+∠2=90°,∴∠1+∠3+∠2+∠4=180°;∵∠D+∠B+∠1+∠3+∠2+∠4=360°,∴∠D+∠B=180°,∴DE∥BC.(2)成立.如图2,连接EC;∵∠1=∠3,∠2=∠4,且∠1+∠2=90°,∴∠3+∠4=∠1+∠2=90°;∵∠EAC=90°,∴∠AEC+∠ACE=180°-90°=90°,∴∠AEC+∠ACE+∠3+∠4=180°,∴DE∥BC,即(1)中的结论仍成立.【考点】两直线平行的判定【考查能力】推理论证能力以考察知识为主试题一.选择题(共6小题)1.如图,若两条平行线EF,MN与直线AB,CD相交,则图中共有同旁内角的对数为()A.4 B.8 C.12 D.162.下列说法正确的是()A.若两条直线被第三条直线所截,则同旁内角互补B.相等的角是对顶角C.有一条公共边并且和为180°的两个角互为邻补角D.若三条直线两两相交,则共有6对对顶角3.若∠α与∠β同旁内角,且∠α=50°时,则∠β的度数为()A.50°B.130°C.50°或130°D.无法确定4.如图所示,点E在AC的延长线上,下列条件中能判断AB∥CD的是()A.∠3=∠4 B.∠1=∠2 C.∠D=∠DCE D.∠D+∠ACD=180°5.如图,工人师傅在工程施工中,需在同一平面内弯制一个变形管道ABCD,使其拐角∠ABC=150°,∠BCD=30°,则()A.AB∥BC B.BC∥CD C.AB∥DC D.AB与CD相交6.如图,直线l1,l2,被l3所截得的同旁内角为α,β,要使l1∥l2,只要使()A.α+β=90° B.α=βC.=36°D.α+β=360°以考察技能为主试题二.填空题(共4小题)7.如图,现给出下列条件:①∠1=∠B,②∠2=∠5,③∠3=∠4,④∠1=∠D,⑤∠B+∠BCD=180°,其中能够得到AB∥CD的条件是.8.已知:如图,∠EAD=∠DCF,要得到AB∥CD,则需要的条件.(填一个你认为正确的条件即可)9.如图,Rt△AOB和Rt△COD中,∠AOB=∠COD=90°,∠B=40°,∠C=60°,点D 在边OA上,将图中的△COD绕点O按每秒10°的速度沿顺时针方向旋转一周,在旋转的过程中,在第秒时,边CD恰好与边AB平行.10.如图,下列能判定AB∥CD的条件有(填序号)①∠B+∠BCD=180°;②∠2=∠3;③∠1=∠4;④∠B=∠5;⑤∠D=∠5.三.解答题(共5小题)11.如图,四边形ABCD中,∠A=∠C=90°,BE平分∠ABC,DF平分∠ADC,则BE与DF有何位置关系?试说明理由.12.完成下面的证明:已知:如图.BE平分∠ABD,DE平分∠BDC,且∠1+∠2=90°.求证:AB∥CD.证明:∵DE平分∠BDC(已知),∴∠BDC=2∠1().∵BE平分∠ABD(已知),∴∠ABD=(角的平分线的定义).∴∠BDC+∠ABD=2∠1+2∠2=2(∠1+∠2)().∵∠1+∠2=90°(已知),∴∠ABD+∠BDC=().∴AB∥CD().13.将一块直角三角板放在如图所示的位置,∠1与∠2互余,试判断直线a与b的位置关系并证明.14.如图,直线AB,CD相交于点O,OA平分∠EOC,且∠EOC:∠EOD=2:3.(1)求∠BOD的度数;(2)如图2,点F在OC上,直线GH经过点F,FM平分∠OFG,且∠MFH﹣∠BOD=90°,求证:OE∥GH.15.如图,已知∠1=∠2,∠3=∠4,∠5=∠6,试判断ED与FB的位置关系,并说明为什么.两直线平行判定(二)参考答案与试题解析一.选择题(共6小题)1.(2014春•扬中市校级期末)如图,若两条平行线EF,MN与直线AB,CD相交,则图中共有同旁内角的对数为()A.4 B.8 C.12 D.16【解答】解:以CD为截线,①若以EF、MN为被截直线,有2对同旁内角,②若以AB、EF为被截直线,有2对同旁内角,③若以AB、MN为被截直线,有2对同旁内角;综上,以CD为截线共有6对同旁内角.同理:以AB为截线又有6对同旁内角.以EF为截线,以AB、CD为被截直线,有2对同旁内角,以MN为截线,以AB、CD为被截直线,有2对同旁内角,综上,共有16对同旁内角.故选D.2.(2014春•滦南县期末)下列说法正确的是()A.若两条直线被第三条直线所截,则同旁内角互补B.相等的角是对顶角C.有一条公共边并且和为180°的两个角互为邻补角D.若三条直线两两相交,则共有6对对顶角【解答】解:A、应该是“若两条平行直线被第三条直线所截,则同旁内角互补”,故错误;B、相等的角不一定都是对顶角,如两直线平行,其中的同位角相等但不是对顶角,故错误;C、如果这两个角在公共边的同侧,则不是邻补角,故错误;D、正确.故选D.3.(2016春•永新县期末)若∠α与∠β同旁内角,且∠α=50°时,则∠β的度数为()A.50°B.130°C.50°或130°D.无法确定【解答】解:虽然α和β是同旁内角,但缺少两直线平行的前提,所以无法确定β的度数.故选:D.4.(2016春•建瓯市期末)如图所示,点E在AC的延长线上,下列条件中能判断AB∥CD的是()A.∠3=∠4 B.∠1=∠2 C.∠D=∠DCE D.∠D+∠ACD=180°【解答】解:A、根据内错角相等,两直线平行可得BD∥AC,故此选项错误;B、根据内错角相等,两直线平行可得AB∥CD,故此选项正确;C、根据内错角相等,两直线平行可得BD∥AC,故此选项错误;D、根据同旁内角互补,两直线平行可得BD∥AC,故此选项错误;故选:B.5.(2016•赤峰)如图,工人师傅在工程施工中,需在同一平面内弯制一个变形管道ABCD,使其拐角∠ABC=150°,∠BCD=30°,则()A.AB∥BC B.BC∥CD C.AB∥DC D.AB与CD相交【解答】解:∵∠ABC=150°,∠BCD=30°,∴∠ABC+∠BCD=180°,∴AB∥DC.故选:C.6.(2015春•烟台期末)如图,直线l1,l2,被l3所截得的同旁内角为α,β,要使l1∥l2,只要使()A.α+β=90° B.α=βC.=36°D.α+β=360°【解答】解:当α+β=180°,即(α+β)=α+β=36°时,l1∥l2.故选C.二.填空题(共4小题)7.(2016春•新泰市期中)如图,现给出下列条件:①∠1=∠B,②∠2=∠5,③∠3=∠4,④∠1=∠D,⑤∠B+∠BCD=180°,其中能够得到AB∥CD的条件是①②⑤.【解答】解:①∵∠1=∠B,∴AB∥CD,故本小题正确;②∵∠2=∠5,∴AB∥CD,故本小题正确;③∵∠3=∠4,∴AD∥BC,故本小题错误;④∵∠1=∠D,∴AD∥BC,故本小题错误;⑤∵∠B+∠BCD=180°,∴AB∥CD,故本小题正确.故答案为:①②⑤.8.(2015春•玉田县期末)已知:如图,∠EAD=∠DCF,要得到AB∥CD,则需要的条件∠EAD=∠B.(填一个你认为正确的条件即可)【解答】解:可以添加条件∠EAD=∠B,理由如下:∵∠EAD=∠B,∠EAD=∠DCF,∴∠B=∠DCF,∴AB∥CD.故答案为:∠EAD=∠B.9.(2014春•江阴市期末)如图,Rt△AOB和Rt△COD中,∠AOB=∠COD=90°,∠B=40°,∠C=60°,点D在边OA上,将图中的△COD绕点O按每秒10°的速度沿顺时针方向旋转一周,在旋转的过程中,在第10或28秒时,边CD恰好与边AB平行.【解答】解:①两三角形在点O的同侧时,如图1,设CD与OB相交于点E,∵AB∥CD,∴∠CEO=∠B=40°,∵∠C=60°,∠COD=90°,∴∠D=90°﹣60°=30°,∴∠DOE=∠CEO﹣∠D=40°﹣30°=10°,∴旋转角∠AOD=∠AOB+∠DOE=90°+10°=100°,∵每秒旋转10°,∴时间为100°÷10°=10秒;②两三角形在点O的异侧时,如图2,延长BO与CD相交于点E,∵AB∥CD,∴∠CEO=∠B=40°,∵∠C=60°,∠COD=90°,∴∠D=90°﹣60°=30°,∴∠DOE=∠CEO﹣∠D=40°﹣30°=10°,∴旋转角为270°+10°=280°,∵每秒旋转10°,∴时间为280°÷10°=28秒;综上所述,在第10或28秒时,边CD恰好与边AB平行.故答案为:10或28.10.(2016春•抚州校级期中)如图,下列能判定AB∥CD的条件有①③④(填序号)①∠B+∠BCD=180°;②∠2=∠3;③∠1=∠4;④∠B=∠5;⑤∠D=∠5.【解答】解:选项①中∵∠B+∠BCD=180°,∴AB∥CD (同旁内角互补,两直线平行),所以正确;选项②中,∵∠2=∠3,∴AD∥BC(内错角相等,两直线平行),所以错误;选项③中,∵∠1=∠4,∴AB∥CD(内错角相等,两直线平行),所以正确;选项④中,∵∠B=∠5,∴AB∥CD(同位角相等,两直线平行),所以正确;选项⑤中,∠D=∠5,∴AD∥BC(内错角相等,两直线平行),所以错误;故答案为:①③④.三.解答题(共5小题)11.(2016春•太仓市期末)如图,四边形ABCD中,∠A=∠C=90°,BE平分∠ABC,DF平分∠ADC,则BE与DF有何位置关系?试说明理由.【解答】解:BE∥DF.理由如下:∵∠A=∠C=90°(已知),∴∠ABC+∠ADC=180°(四边形的内角和等于360°).∵BE平分∠ABC,DF平分∠ADC,∴∠1=∠2=∠ABC,∠3=∠4=∠ADC(角平分线的定义).∴∠1+∠3=(∠ABC+∠ADC)=×180°=90°(等式的性质).又∠1+∠AEB=90°(三角形的内角和等于180°),∴∠3=∠AEB(同角的余角相等).∴BE∥DF(同位角相等,两直线平行).12.(2016春•枣阳市期末)完成下面的证明:已知:如图.BE平分∠ABD,DE平分∠BDC,且∠1+∠2=90°.求证:AB∥CD.证明:∵DE平分∠BDC(已知),∴∠BDC=2∠1(角平分线的定义).∵BE平分∠ABD(已知),∴∠ABD=2∠2(角的平分线的定义).∴∠BDC+∠ABD=2∠1+2∠2=2(∠1+∠2)(等量代换).∵∠1+∠2=90°(已知),∴∠ABD+∠BDC=180°(等量代换).∴AB∥CD(同旁内角互补两直线平行).【解答】证明:∵DE平分∠BDC(已知),∴∠BDC=2∠1(角平分线的性质).∵BE平分∠ABD(已知),∴∠ABD=2∠2(角的平分线的定义).∴∠BDC+∠ABD=2∠1+2∠2=2(∠1+∠2)(等量代换).∵∠1+∠2=90°(已知),∴∠ABD+∠BDC=180°(等量代换).∴AB∥CD(同旁内角互补两直线平行).13.将一块直角三角板放在如图所示的位置,∠1与∠2互余,试判断直线a与b的位置关系并证明.【解答】解:a∥b.理由:过点C作CH∥DF,∵CH∥DF,∴∠2=∠BCH.∵∠1+∠2=90°,∴∠BCH+∠1=90°,∵∠BCH+∠ACH=90°,∴∠1=∠ACH,∴CH∥a,∴a∥b.14.(2015秋•南岗区期末)如图,直线AB,CD相交于点O,OA平分∠EOC,且∠EOC:∠EOD=2:3.(1)求∠BOD的度数;(2)如图2,点F在OC上,直线GH经过点F,FM平分∠OFG,且∠MFH﹣∠BOD=90°,求证:OE∥GH.【解答】解:∵∠EOC:∠EOD=2:3,∴∠EOC=180°×=72°,∵OA平分∠EOC,∴∠AOC=∠EOC=×72°=36°,∴∠BOD=∠AOC=36°.(2)延长FM交AB于N,如图所示:∵∠MFH﹣∠BOD=90°,FM平分∠OFG,∴∠MFC=∠MFH=∠BOD+90°=126°,∴∠ONF=126°﹣36°=90°,∴∠OFM=90°﹣36°=54°,∴∠OFG=2∠OFM=108°,∴∠OFG+∠EOC=180°,∴OE∥GH.15.(2009春•平谷区校级期末)如图,已知∠1=∠2,∠3=∠4,∠5=∠6,试判断ED与FB的位置关系,并说明为什么.【解答】解:BF、DE互相平行;理由:如图;∵∠3=∠4,∴BD∥CF,∴∠5=∠BAF,又∵∠5=∠6,∴∠BAF=∠6,∴AB∥CD,∴∠2=∠EHA,又∵∠1=∠2,即∠1=∠EHA,∴BF∥DE.另解:BF、DE互相平行;理由:如图;∵∠3=∠4,∴BD∥CF,∴∠5=∠BAF,∵∠5=∠6,∴∠BAF=∠6,∵△BFA、△DEC的内角和都是180°∴△BFA=∠1+∠BFA+BAF;△DEC=∠2+∠4+∠6∵∠1=∠2;∠BAF=∠6∴∠BFA=∠4,∴BF∥DE.。
2018-2019学年内蒙古乌兰察布市北京八中分校七年级(下)第一次月考生物试卷一、选择题(本大题共12小题,共24.0分)1.现代类人猿和人类的共同祖先是()A. 长臂猿B. 猕猴C. 森林古猿D. 猩猩2.2005年8月,“国际黑猩猩基因测序与分析联盟”宣布,黑猩猩与人类在基因上的相似程度达到96%以上。
这个事例可以说明()A. 人类和黑猩猩的共同祖先是森林古猿B. 人类是由黑猩猩经过漫长的年代进化而来的C. 人类和黑猩猩有较近的亲缘关系D. 生物具有遗传和变异的特性3.男性和女性生殖系统的主要器官分别是()A. 睾丸、子宫B. 睾丸、卵巢C. 阴囊、子宫D. 阴囊、输卵管4.男性两侧输精管结扎后,生理表现为()A. 仍产生精子,不能分泌雄性激素B. 仍产生精子,能分泌雄性激素C. 不产生精子,能分泌雄性激素D. 不产生精子,不能分泌雄性激素5.青春期是人生中最美好的时期.下列对于青春期的叙述错误的是()A. 处于青春期的同学们要远离香烟,拒绝毒品,更合理地营养B. 青春期性器官迅速发育.女孩来月经、男孩出现遗精都是正常的生理现象C. 青春期的青少年性意识开始萌动,要多与父母、老师和同学交谈、交往,心态要阳光D. 青春期是一生中智力发展的黄金时期,但神经系统的调节功能不会增强6.下列营养物质都能给人体提供能量的是()A. 水分、无机盐、淀粉B. 糖类、脂肪、蛋白质C. 水分、蛋白质、脂肪D. 维生素、纤维素、无机盐7.幼儿经常补钙,但仍然患佝偻病,原因是体内缺乏促进小肠对钙吸收的()A. 维生素AB. 维生素BC. 维生素DD. 蛋白质8.我国政府启动的“酱油补铁工程”是继食盐加碘后实施的又一项全民营养工程,“补铁”和“加碘”分别可以预防()A. 脚气病、佝偻病B. 夜盲症、坏血病C. 缺铁性贫血、地方性甲状腺肿D. 呆小症、肢端肥大症9.下列消化器官中,不具有消化功能的是()A. 胃B. 小肠C. 口腔D. 大肠10.下面是我国营养学家建议的居民一日三餐对各类食物的摄取比例示意图,据图回答下列各题。
乌兰察布分校2017—2018学年度七年级下学期期中考试英语试题满分:100分时间:90分钟注意事项:1.答卷前,考生务必将自己的姓名、考号填写在答题卡上。
2. 将答案写在答题卡上。
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第I卷(选择题共55分)I.单项选择(15分)1.She has two computers. One is IBM PC 386, _________ is IBM PC 586.A. anotherB. the otherC. the othersD. other2. You ________________ me about it now, you can think about it first.A. don’t need tellB. don’t need tellingC. needn’t to tellD. needn’t tell3. How do you go to work, ___________your bike or ___________ foot?A. by; byB. by; onC. on; onD. on; by4. —What ___________ rules!—Yeah! You don’t like them and I don’t like them, either.A. interestingB. importantC. relaxingD. terrible5. Lana, ___________ girl, wants to be a teacher when she grows up.A. a 11-year-oldB. an 11-years-oldC. an 11-year-oldD. a 11years old6. —Can you ___________ your new photos to me?—Yes, here you are.A. takeB. makeC. showD. buy7. ________ only takes him about fifteen minutes to get to the station by car.A. ThisB. It C That D .He8—Bill, can you ___________ this word in Chinese?—Yes, I can ___________ a little Chinese.A. say; tellB. tell; sayC. speak; sayD. say; speak9. I play sports ___________ two hours every day.A. forB. onC. atD. in10.—Class, today is the Dragon Boat Festival. Please remember ___________ zongzi.—We will.A. eatingB. to eatC. eatsD. to eating11. You ___________ ta ke me to the station. My brother’s taking me.A. can’tB. mustn’tC. shouldn’tD. don’t have to12.—___________? —Not bad, we’re having a great time. Thank you.A. What are you doing?B. How’s the weather in Beijing?C. How do you get to school?D. How’s it going?13. There are many young children ___________ in the parkA playing B. are playing C. play D. played14. Jane often TV on Sundays, but now she an English book.A. watches; readsB. watches; is readingC. watching; is reading D watch; read15 -----It isn’t a cold spring , is it?---- ___________.you don’t need to wear a sweater.A.Yes, it is a warm spring.B. No, it isn’t a warm spring.C.Yes, it is a cold springD. No, it isn’t a cold spring.II.完形填空(10分)What do you often do for your father on Father’s Day? Father Day has a very 16 history and it became a state festival in 1972 in America. Because some Americans thought that if we had a Mother’s Day, we should also have a Father’s Day.Father’s Day is becoming very 17 in North America. People there do different kindsof things for their fathers on that day. And businessmen find it is a good way to make people buy presents for their fathers from their 18 .Except(除……以外) America, very 19 countries have a Father’s Day, though some havea Children’s Day, or a 20 day for boys or for boys and girls. More and more countries are having Mother’s Day, 21 maybe Father’s Day will become popular soon.Now what are people in North America doing on Father’s Day? The newspapers, radios, and TV 22 children what they should do -buy, buy, buy Father’s Day present for your father. They even want the wife to buy a Father’s Day present not for her father but for h er 23 .The presents they buy for their dads are often not very 24 , as children don’t have much money. But the important thing to remember about Father’s Day is that American children can show their 25 to their fathers on that day.16. A. long B. light C. old D. short17. A. happy B. important C. interesting D. easy18. A. shops B. houses C. offices D. schools19. A. little B. few C. many D. much20. A. busy B. ready C. special D. careful21. A. but B. if C. so D. or22. A. speak B. say C. talk D. tell23. A. husband B. son C. brother D. cousin24. A. beautiful B. expensive C. different D. heavy25. A. money B. promise C. love D. lifeIII.阅读理解(30分)AA. 368-5788B. 345-1238C. 449-3327D. 378-578827. Mr. Cai is ___________.A. a ping-pong teacherB. a piano teacherC. an art teacherD. a bus driver28. People can go to the art club on ___________.A. Monday morningB. Sunday eveningC. Friday morningD. Wednesday evening29. Who may call Tomas?A. Ms. Green. She is thinking about a trip.B. Mr. Smith. He drinks a lot.C. Peter. He wants to learn to drive.D. Miranda. She is late for work.BDear Jenny,I am in Beijing, China now, but my parents are in the USA. I live with my brother Peter. Beijing is big and great. There are many beautiful places and much delicious food here. I like Beijing very much.Peter and I are in the same grade, but we are in different classes. We live far from the school and it takes us a long time to go to school. We have to get up at 6:20 in the morning, and then at 6:30 we ride bikes to the bus stop. It takes us about 20 minutes. At about 7:00, we take the bus to school. We get to school at about 7:30.We have four classes in the morning and two in the afternoon. I think Chinese is very difficult, but Peter thinks it is easy. He can speak Chinese well and he often helps me with it.How is everything going with you in the USA? Write to me soon.Love,Kate30. What time does Kate get to the bus stop?A. At about 6:40.B. At about 6:50.C. At about 7:00.D. At about 7:30.31. It takes Kate about ___________ to get to school from her home.A. 80 minutesB. an hourC. 45 minutesD. half an hour32. From the passage, we can know Peter ___________.A. lives near the schoolB. is in Grade SevenC. goes to school on footD. is good at Chinese33. Which of the following is TRUE?A. Peter gets up at 6:30.B. Kate has five classes a day.C. Kate and Peter are classmates.D. Kate enjoys living in Beijing.CDo you know pigeons? They are a kind of birds. They are in white and grey. Some people say they are not beautiful but they are cute and smart. Many people keep them as pets. Why do people say pigeons are clever? Because pigeons can take letters from one place to another. And theyknow the way home. We often see the picture of a pigeons with an olive branch(橄榄枝) in its mouth. We call them peace pigeons. They are the symbol of peace.34. Pigeons are a kind of ________.A. foodB. vegetablesC. birdsD. plants35. Pigeons are in ________.A. black and greyB. black and whiteC. grey and whiteD. white and red36. Many people keep pigeons as ________.A. interestsB. flowersC. familyD. pets37. Which of the following is TRUE?A. Pigeons can’t fly.B. Pigeons aren’t birds.C. Pigeons like eating olives best.D. Pigeons can take letters from one place to another.DStop reading for a minute and think about what you see when you look up at the sky on a clear night. You probably see many stars(星星). Long long ago, farmers watch some stars to know when to plant their crops. Travelers did so to find their way in the dark. Today stars are still important to some people.Scientists find that most stars are very big. In fact some stars are so far away that it would take millions of years to get to them even by spaceship.Another thing we know today about stars isthat some are made up of(由……组成) hot gases.The gases are so hot that they send out light. Ifyou watch a star carefully, you may notice that ittwinkles(闪烁) sometimes. As you may understand, light from a star must shine through the air before you can see the star. Air is always moving, it makes light from the star move back and forth. When the light moves, it makes the star twinkle. Stars also have different colors. The colors of a star depend on how hot it is. To our surprise, the cool stars are red and the hottest stars are white.38. Long long ago, travelers ________ to find their way in the dark.A. made a fireB. used a lampC. watched starsD. used sticks39. Why does a star sometimes twinkle?A. Because its light travels through the moving air.B. Because its light is too bright.C. Because it is made up of hot gases.D. Because it is too dark.40. Red stars are ________.A. hotB. coldC. warmD. cool41. Which is the TURE according to the passage?A. Today stars are not important to people at all.B. It took us a short time to get to the stars by spaceship.C. You can see the star before it shines through the air.D. Farmers knew when to plant their crops by watching some stars.EWe have twenty minutes’ rest between classes. Look! Most of us are playing during the break time. Some students are on the playground. They are playing basketball. Oh! A boy is running with the ball. And another is trying to stop(阻止) him. They look so cool. And there are some girls watching the game. Some students are in the classroom. They are talking. A few of them are reading and doing homework. Look! A girl is looking at the birds in the tree in front of the classroom. She must be thinking of something interesting because she is smiling. What are the teachers doing? Some of them are working in the office. And some are talking with students. Everyone is doing his or her things. They are busy but happy.42. The students are playing basketball ___________.A. on the playgroundB. in the classroomC. in front of the treeD. in front of the classroom43 The underlined(划线) word means ___________ in the passage.A. 破坏B. 休息C. 破裂D. 摔断44. The teachers are ___________.A. teaching lessonsB. having a basketball gameC. looking at the birdsD. working or talking with students45. The passage is mainly about ___________.A. break time activitiesB. a basketball gameC. studentsD. teachers第II卷(非选择题共45分)注意事项:请考生用0.5毫米黑色签字笔将答案写在答题卡各题目指定区域内相应的位置,答案写在本试卷上无效。
乌兰察布分校2017-2018学年第二学期期中考试初一年级数学试题(命题人:常晓瑞审核人:尹德刚分值:120 时间:120分钟)注意事项:1.答卷前,考生务必将自己的姓名、考号填写在答题卡上。
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写在本试卷上无效。
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一、选择题(本大题共12小题,共36.0分)1.的相反数是A. B. C. D.2.下列各数中:,是无理数的有A. 1个B. 2个C. 3个D. 4个3.一个正方形的面积是15,估计它的边长在A. 1和2之间B. 2和3之间C. 3和4之间D. 4和5之间4.一副三角板按如图方式摆放,且的度数比的度数大,若设,则可得到方程组为A.B.C.D.5.体育课上,老师测量跳远成绩的依据是A.垂直的定义B. 两点之间线段最短C. 垂线段最短D. 两点确定一条直线6.如图,将一张长方形纸条折叠,如果,则A.B.C.D.7.如图,一条公路修到湖边时需绕道,第一次拐角,第二次拐角,为了保持公路AB与DE 平行,则第三次拐角的度数应为A. B. C. D.8.下列说法中正确的个数有在同一平面内,不重合的两条直线只有两种位置关系:相交和平行。
同旁内角互补;相等的角是对顶角;从直线外一点到这条直线的垂线段,叫做这点到这条直线的距离;经过一点,有且只有一条直线与已知直线平行.A. 1个B. 2个C. 3个D. 4个9.已知点是平面直角坐标系中第四象限的点,则化简的结果是A. B. a C. D.10.下列说法:实数和数轴上的点是一一对应的;无理数是开方开不尽的数;负数没有立方根;的平方根是,用式子表示是;某数的绝对值,相反数,算术平方根都是它本身,则这个数是0,11.其中错误的是A. 0个B. 1个C. 2个D. 3个12.下列条件中,能说明的条件有个.A. 1B. 2C. 3D. 413.数轴上表示的对应点分别为,点B关于点A的对称点为C,则点C所表示的数是A. B. C. D.二、填空题(本大题共8小题,共24.0分)14.若m是的算术平方根,则______ .15.若,则______ .16.若无理数与为正数m的平方根,则______ .17.已知是一个二元一次方程,则a的值为______ .18.对于实数,定义新运算,其中为常数,等式右边为通常的加法和乘法运算,若,则______ .19.小丽把一块含角的直角三角尺摆成如图所示的造型,其中角的顶点分别在直线上,若则______,______.20.如图,将沿CB边向右平移得到交AB于点已知:::2:3,AB=9cm,BF=5cm,AG=5cm,则图中阴影部分的面积为______ .21.已知如图,平分,当::2,且时,求的度数为______ 度三、计算题(本大题共2小题,共22.0分,计算题要有解题步骤。
两直线平行判定(一)【知识点考查题】一、容易题1.(2017-2018山东省庆云县九校联考)如图所示,下列能够判定AB//CD的是()A.∠3=∠4B. ∠1=∠2C. ∠D=∠DCED. ∠D+∠ACD=180°【答案】B【考点】两直线平行的判定【考查能力】推理论证能力2.(2017-2018辽宁大石桥市月考)如图,在下列条件中:①∠1=∠2;②∠BAD=∠BCD;③∠ABC=∠ADC且∠3=∠4;④∠BAD+∠ABC=180°,能判定AB∥CD的有( )A.1个B. 2个C. 3个D. 0个【答案】A【考点】两直线平行的判定【考查能力】推理论证能力,是任一点,过点P画一条直3.(2017-2018内蒙古北京八中乌兰察布分校)已知AOB P线与OA平行,则这样的直线()A. 有且仅有一条B. 有两条C. 不存在D. 有一条或不存在【答案】D【考点】两直线平行的判定【考查能力】推理论证能力4.(2017-2018北京海淀区月考)如图,用两个相同的三角板按照如图所示的方式作平行线,能解释其中道理的是( )A. 同位角相等,两直线平行B. 内错角相等,两直线平行C. 同旁内角互补,两直线平行D. 以上都不对【答案】B【考点】两直线平行的判定【考查能力】推理论证能力二、中等题5.(2017-2018山东巨野县太平镇第一中学月考)在同一平面内,如果a⊥b,b⊥c,则a_________c,因为____________________________.【答案】∥垂直于同一条直线的两条直线平行【考点】两直线平行的判定【考查能力】推理论证能力6.(2017-2018北京市海淀区月考)如图,已知A,B,C三点及直线EF,过B点作AB∥EF,过B点作BC∥EF,那么A,B,C三点一定在同一条直线上,依据是___________.【答案】过直线外一点,有且只有一条直线与已知直线平行【考点】两直线平行的判定【考查能力】推理论证能力7.(2018天津市南开区津英中学月考)如图,若∠1=∠2,则_____∥____,依据是____________________________.【答案】AB∥CD【考点】两直线平行的判定【考查能力】推理论证能力【技能技巧考查题】一、较难题8.(2017-2018河南省郑州市枫杨外国语月考)如图,一个长方形的街边公园有一条小路AB,现在要再修建一条与原路平行的小路,并且经过C处.请你用直尺和圆规作出小路的位置,不写作法,保留作图痕迹并根据作图写出两条小路平行的依据.【答案】画图见解析.【解析】试题分析:先过点C做一条直线作为截线,再画一个同位角(或内错角)相等即可.如图所示:【考点】两直线平行的判定【考查能力】推理论证能力9.(2017—2018海南省邵逸夫中学月考)已知:如图,AC∥DF,直线AF分别直线BD、CE 相交于点G、H,∠1=∠2,求证:∠C=∠D.证明: ∵∠1=∠2(已知)∠1=∠DGH( ),∴∠2=__________(等量代换)∴__________∥__________(同位角相等,两直线平行)∴∠C=___________(两直线平行,同位角相等)又∵AC∥DF__________∴∠D=∠ABG_________∴∠C=∠D__________【答案】对顶角相等,∠DGH,BD∥CE ,∠ABG,已知,等量代换,两直线平行,内错角相等【考点】两直线平行的判定【考查能力】运算求解能力10.(2017-2018江苏省徐州市外国语学校月考)已知:如图,AD是△ABC的平分线,点E 在BC上,点G在CA的延长线上,EG交AB于点F,且∠AFG=∠G.求证:GE∥AD.【答案】见解析试题解析:证明:∵AD是∠CAB的平分线,∴∠BAC=2∠DAC,∵∠G+∠GFA=∠BAC,∠AFG=∠G.∴∠BAC=2∠G,∴∠DAC=∠G,∴AD∥GE.【考点】两直线平行的判定【考查能力】推理论证能力以考察知识为主试题一.选择题(共6小题)1.下列图形中,∠1与∠2不是同位角的是()A.B. C.D.2.如图,∠1的内错角是()A.∠2 B.∠3 C.∠4 D.∠53.如图,下列判断正确的是()A.∠2与∠5是对顶角B.∠2与∠4是同位角C.∠3与∠6是同位角D.∠5与∠3是内错角4.四条直线两两相交,且任意三条不相交于同一点,则四条直线共可构成的同位角有()A.24组B.48组C.12组D.16组5.如图,直线a、b被直线c所截,下列条件能使a∥b的是()A.∠1=∠6 B.∠2=∠6 C.∠1=∠3 D.∠5=∠76.学习了平行线后,小敏想出了过己知直线外一点画这条直线的平行线的新方法,她是通过折一张半透明的纸得到的(如图(1)~(4)),从图中可知,小敏画平行线的依据有()①两直线平行,同位角相等;②两直线平行,内错角相等;③同位角相等,两直线平行;④内错角相等,两直线平行.A.①②B.②③C.③④D.①④以考察技能为主试题二.填空题(共4小题)7.如图,已知直线a,b被直线c所截,那么∠1的同位角是.8.如图填空.(1)若ED,BC被AB所截,则∠1与是同位角.(2)若ED,BC被AF所截,则∠3与是内错角.(3)∠1 与∠3是AB和AF被所截构成的角.(4)∠2与∠4是和被BC所截构成的角.9.如图把三角板的直角顶点放在直线b上,若∠1=40°,则当∠2=度时,a ∥b.10.如图,直线a与直线b交于点A,与直线c交于点B,∠1=120°,∠2=45°,若使直线b与直线c平行,则可将直线b绕点A逆时针旋转.三.解答题(共5小题)11.如图,AB∥CD,AE平分∠BAD,CD与AE相交于F,∠CFE=∠E.求证:AD ∥BC.12.已知,如图,EF⊥AC于F,DB⊥AC于M,∠1=∠2,∠3=∠C,求证:AB∥MN.13.如图,已知∠P=∠Q,∠1=∠2,AB与ED平行吗?为什么?14.MF⊥NF于F,MF交AB于点E,NF交CD于点G,∠1=140°,∠2=50°,试判断AB和CD的位置关系,并说明理由.15.如图,已知∠AGD=∠ACB,∠1=∠2.求证:CD∥EF.(填空并在后面的括号中填理由)证明:∵∠AGD=∠ACB()∴DG∥()∴∠3=()∵∠1=∠2()∴∠3=(等量代换)∴∥()两直线平行判定(一)参考答案与试题解析一.选择题(共6小题)1.(2015•江干区二模)下列图形中,∠1与∠2不是同位角的是()A.B. C.D.【解答】解:A图中,∠1与∠2有一边在同一条直线上,另一条边在被截线的同一方,是同位角,不符合题意;B图中,∠1与∠2有一条边在同一条直线上,另一条边在被截线的同一方,是同位角,不符合题意;C图中,∠1与∠2的两条边都不在同一条直线上,不是同位角,符合题意;D图中,∠1与∠2有一边在同一条直线上,另一条边在被截线的同一方,是同位角,不符合题意.故选:C.2.(2015•贵阳)如图,∠1的内错角是()A.∠2 B.∠3 C.∠4 D.∠5【解答】解:根据内错角的定义,∠1的内错角是∠5.故选D.3.(2016春•余干县校级期中)如图,下列判断正确的是()A.∠2与∠5是对顶角B.∠2与∠4是同位角C.∠3与∠6是同位角D.∠5与∠3是内错角【解答】解:A、∠2与∠5是对顶角,故此选项正确;B、∠2与∠4是不是同位角,故此选项错误;C、∠3与∠6是同旁内角,故此选项错误;D、∠5与∠3不是内错角,故此选项错误;故选:A.4.四条直线两两相交,且任意三条不相交于同一点,则四条直线共可构成的同位角有()A.24组B.48组C.12组D.16组【解答】解:∵平面上4条直线两两相交且无三线共点,∴共有3×4=12条线段.又∵每条线段各有4组同位角,∴共有同位角12×4=48组.故选B.5.(2016•百色)如图,直线a、b被直线c所截,下列条件能使a∥b的是()A.∠1=∠6 B.∠2=∠6 C.∠1=∠3 D.∠5=∠7【解答】解:∵∠2=∠6(已知),∴a∥b(同位角相等,两直线平行),则能使a∥b的条件是∠2=∠6,故选B6.(2007•绍兴)学习了平行线后,小敏想出了过己知直线外一点画这条直线的平行线的新方法,她是通过折一张半透明的纸得到的(如图(1)~(4)),从图中可知,小敏画平行线的依据有()①两直线平行,同位角相等;②两直线平行,内错角相等;③同位角相等,两直线平行;④内错角相等,两直线平行.A.①②B.②③C.③④D.①④【解答】解:由作图过程可知,∠1=∠2,为内错角相等;∠1=∠4,为同位角相等;可知小敏画平行线的依据有:③同位角相等,两直线平行;④内错角相等,两直线平行.故选:C.二.填空题(共4小题)7.(2015•鞍山二模)如图,已知直线a,b被直线c所截,那么∠1的同位角是∠2.【解答】解:∠1的同位角是∠2,故答案为:∠2.8.(2010秋•犍为县期末)如图填空.(1)若ED,BC被AB所截,则∠1与∠2是同位角.(2)若ED,BC被AF所截,则∠3与∠4是内错角.(3)∠1 与∠3是AB和AF被ED所截构成的内错角.(4)∠2与∠4是AB和AF被BC所截构成的同位角.【解答】解:(1)如图:若ED,BC被AB所截,则∠1与∠2是同位角,(2)若ED,BC被AF所截,则∠3与∠4是内错角,(3)∠1 与∠3是AB和AF被ED所截构成的内错角,(4)∠2与∠4是AB和AF被BC所截构成的同位角.故答案为∠2;∠4;ED,内错;AB,AF,同位.9.(2016春•丹阳市月考)如图把三角板的直角顶点放在直线b上,若∠1=40°,则当∠2=50度时,a∥b.【解答】解:当∠2=50°时,a∥b;理由如下:如图所示:∵∠1=40°,∴∠3=180°﹣90°﹣40°=50°,当∠2=50°时,∠2=∠3,∴a∥b;故答案为:50.10.(2015•焦作二模)如图,直线a与直线b交于点A,与直线c交于点B,∠1=120°,∠2=45°,若使直线b与直线c平行,则可将直线b绕点A逆时针旋转15°.【解答】解:∵∠1=120°,∴∠3=60°,∵∠2=45°,∴当∠3=∠2=45°时,b∥c,∴直线b绕点A逆时针旋转60°﹣45°=15°.故答案为:15°.三.解答题(共5小题)11.(2015春•日照期末)如图,AB∥CD,AE平分∠BAD,CD与AE相交于F,∠CFE=∠E.求证:AD∥BC.【解答】证明:∵AE平分∠BAD,∴∠1=∠2,∵AB∥CD,∠CFE=∠E,∴∠1=∠CFE=∠E,∴∠2=∠E,∴AD∥BC.12.(2016春•雅安校级期中)已知,如图,EF⊥AC于F,DB⊥AC于M,∠1=∠2,∠3=∠C,求证:AB∥MN.【解答】证明:∵EF⊥AC,DB⊥AC,∴EF∥DM,∴∠2=∠CDM,∵∠1=∠2,∴∠1=∠CDM,∴MN∥CD,∴∠C=∠AMN,∵∠3=∠C,∴∠3=∠AMN,∴AB∥MN.13.(2014春•邗江区校级期中)如图,已知∠P=∠Q,∠1=∠2,AB与ED平行吗?为什么?【解答】解:AB∥ED.理由如下:∵∠P=∠Q,∴PB∥CQ,∴∠PBC=∠BCQ,∵∠1=∠2,∴∠PBC+∠1=∠BCQ+∠2,即∠ABC=∠DCB,∴AB∥ED.14.(2016春•黄冈期中)MF⊥NF于F,MF交AB于点E,NF交CD于点G,∠1=140°,∠2=50°,试判断AB和CD的位置关系,并说明理由.【解答】解:延长MF交CD于点H,∵∠1=90°+∠CFH,∠1=140°,∠2=50°,∴∠CHF=140°﹣90°=50°,∴∠CHF=∠2,∴AB∥CD.15.(2015春•封开县期末)如图,已知∠AGD=∠ACB,∠1=∠2.求证:CD∥EF.(填空并在后面的括号中填理由)证明:∵∠AGD=∠ACB(已知)∴DG∥CB(同位角相等,两直线平行)∴∠3=∠1(两直线平行,内错角相等)∵∠1=∠2(已知)∴∠3=∠2(等量代换)∴CD∥EF(同位角相等,两直线平行)【解答】证明:∵∠AGD=∠ACB(已知),∴DG∥CB(同位角相等,两直线平行),∴∠3=∠1(两直线平行,内错角相等),∵∠1=∠2(已知),∴∠3=∠2(等量代换),∴CD∥EF(同位角相等,两直线平行).。
第5题EDCBA54321北京八中乌兰察布分校2015-2016学年七年级数学下学期期中试题注意事项:1.答卷前,考生务必将自己的姓名、考号填写在答题卡上。
2. 将答案写在答题卡上。
写在本试卷上无效。
3. 考试结束后,将答题卡交回。
一、选择题:(每小题3分,共36分)1.16的算术平方根是()A、±4B、4C、±2D、22、在-3.14, 2, 0, π, 16, 0.101001……中无理数的个数有()A、3个B、2个C、1个D、4个3.在平面直角坐标系中,点P(-2,2x+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4.如图,直线AB、CD相交于点O,若∠1+∠2=100°,则∠BOC等于 ( )A.130°B.140°C.150°D.160°5.如图,把一块含有45°角的直角三角板的两个顶点放在直尺的对边上, 如果∠1=20°,那么∠2等于( )A.30° B.25° C.20° D.15°6、下列能判定AB∥CD的条件有( )个.(1) ∠B+∠BCD=180°(2) ∠1=∠2; (3) ∠3=∠4; (4) ∠B=∠5.A.1B.2C.3D.47.在平面直角坐标系中,点P的横坐标是-3,且点P到x轴的距离为5,则P的坐标是()A、(5,-3)或(-5,-3)B、(-3,5)或(-3,-5)第4题第6题C 、(-3,5)D 、(-3,-3)8.若a 2=9, 3b =-2,则a+b=( )A. -5B. -11C. -5 或 -11D. ±5或±119. 已知m n m y x 344-与y x n5是同类项,则m 与n 的值分别是 ( ) A .4、1 B .1、4 C .0、8 D .8、010、下列命题中,真命题的个数有( )① 同一平面内,两条直线一定互相平行; ② 有一条公共边的角叫邻补角; ③ 内错角相等。
内蒙古北京八中乌兰察布分校2017-2018学年七年级下学期期末考试
数学试题
分值120分时间120分钟
一.选择题:(本大题共12小题。
每小题3分,满分36分.)
1. 一个正数的两个平方根分别是2a-1与-a+2,则a的值为()
A. 1
B. -1
C. 2
D. -2
2. 已知点p(0,m)在y轴的负半轴上,则点M(-m,-m+1)在()
A. 第一象限
B. 第二象限
C. 第三象限
D. 第四象限
3. 如图,直线a∥b,若∠1=50°,∠3=95°,则∠2的度数为()
......
A. 35°
B. 40°
C. 45°
D. 55°
4. 方程是关于x、y的二元一次方程,则()
A. m=±2016;n=±4
B. m=2016,n=4
C. m=-2016,n=-4
D. m=-2016,n=4
5. 如图,数轴上表示1、的对应点分别为点A、点B若点A是BC的中点,则点C所表示的数为()
A. B. C. D.
6. 已知方程组,x与y的值之和等于2,则k的值为()
A. 4
B. -4
C. 3
D. -3
7. 已知a,b,c均为实数,a<b,那么下列不等式一定成立的是()
A. a-b>0
B. -3a<-3b
C.
D.
8. 若关于x的不等式组无解,则a的取值范围是()
A. a>2
B. a≥2
C. 1<a≤2
D. 1≤a<2
9. 某校九年级数学兴趣小组的同学调查了若干名家长对“初中学生带手机上学”现象的看法,统计整理并制作了如下的条形与扇形统计图.
依据图中信息,得出下列结论:
(1)接受这次调查的家长人数为200人
(2)在扇形统计图中,“不赞同”的家长部分所对应的扇形圆心角大小为162°
(3)表示“无所谓”的家长人数为40人
其中正确的结论个数为( )
A. 3
B. 2
C. 1
D. 0
10. 如图,两只蚂蚁以相同的速度沿两条不同的路径,同时从A出发爬到B,则( )
A. 乙比甲先到
B. 甲比乙先到
C. 甲和乙同时到
D. 无法确定
11. 方程5x+3y=54共有( )组正整数解.
A. 2
B. 3
C. 4
D. 5
12. 如果不等式组的解集是x>-1,那么m为( )
A. 1
B. 3
C. -1
D. -3
二、填空题:(本大题共8小题。
每小题3分,满分24分.)
13. 如图所示,两个完全相同的直角梯形重叠一起,将其中一个直角梯形沿平移,阴影部分的面积为
______ .
14. 平面内两两相交的三条直线,如果它们最多有a个交点,最少有b个交点,则a+b___
15. 若二元一次方程组和的解相同,则x= ___ ,y= ____ .
16. 有学生若干人,住若干间宿舍,若每间住4人,则有20人无法安排住宿,若每间住8人,则最后有一间宿舍不满也不空,则学生人数为______ 人
17. 已知点p(x,y)在第三象限,且,,则点p的坐标为_____
18. 某种商品单价为a元,按8折出售后又涨价5%,则最后售价为______元
19. 定义一种新运算:,如,则=______.
20. 如图,直线a∥b,∠2=∠3,若∠1=45°,则∠4=______.
三.计算题:(本大题共3小题。
满分24分。
)
21. 解方程:
(1)(2)
22. 解下列不等式组,并把解集在数轴上表示出来:
(1)(2)
三.解答题:(本大题共4小题。
满分36分。
)
23. 如图,AC∥ED,AB∥FD,∠A=64°,求∠EDF的度数。
24. 已知关于x的不等式组的整数解有5个,求a的取值范围.
25. 已知关于x、y的二元一次方程组的解满足不等式组,则m的取值范围是什么?
26. 某校学生会准备调查七年级学生参加“绘画类”、“书法类”、“乐器类”四类校本课程的人数,在全校进行随机抽样调查,并根据收集的数据绘制了如图两幅统计图信息尚不完整,请根据图中提供的信息,解答下面的问题:
(1)此次共调查了多少名同学?
(2)将条形图补充完整,并计算扇形统计图中乐器部分的圆心角的度数;
(3)如果该校共有1000名学生参加这4个课外兴趣小组,而每个教师最多只能辅导本组的25名学生,估计书法兴趣小组至少需要准备多少名教师?
27. 2017年5月14日至15日,“一带一路”国际合作高峰论坛在北京举行,本届论坛期间,中国同30多个国家签署经贸合作协议,某厂准备生产甲、乙两种商品共8万件销往“一带一路”沿线国家和地区已知2件甲种商品与3件乙种商品的销售收入相同,3件甲种商品比2件乙种商品的销售收入多1500元.
(1)甲种商品与乙种商品的销售单价各多少元?
(2)若甲、乙两种商品的销售总收入不低于5400万元,则至少销售甲种商品多少万件?。