(1)如图1，在正方形ABCD中，点E是8C边上的一个动点，连接E,将AE绕点A顺时针旋转90°得AF,连接DE,BF,判断DE与BF的数量和位置关系，并说明理由：26.（本小题满分12分）(2)如图2，在矩形BCD中，AB=2,BC=6,点E是C边上的-个动点，连接AE,将AE先绕点A顺时针旋转90°，再缩短为原来的了，得到4F,连接DE,BF①判断DE与BF的数量关系，并说明理由；②如图3，连接DF,直接写出3DF+DE的最小值，装B:H:图2图3图1数学试卷（预测二）第8页（共8页）

1/6安徽省中考联盟压轴卷数学参考答案1.A2.B3.A4.C5.B6.D7.B8.D9.C10.C提示：如图1，当点M在AB上，点N在BC上时，即0≤x

老遥2023年河北省初中毕业生升学文化课考试数学模拟试卷（五）本试卷共12页.总分120分，考试时间120分钟得分评卷人一、选择题.（本大题有16个小题.1~10小题各3分；11~16小题各2分，共42分.在每小题给出的四个选项中，只有一项是符合题目要求的)1.安装空调一般会采用如图1所示的方法固定，其运用的数学知识是(A.三角形的稳定性空调B.两点之间，线段最短C.两点确定一条直线图1D.垂线段最短2.点A在数轴上对应实数a,将点A沿数轴正方向移10个单位长度后，对应的实数是a的相反数，则a的值是()A.5B.-5C.10D.-103.图2为一张锐角三角形纸片，下列三条线段，能够通过折纸得到的是()①边BC上的中线AD;②△ABC的角分线AE;③边BC上的高AFA.①②B.①③c.②③图2D.①②③4.与V72-62-22结果相同的是()A.7-6+2B.7-6-2C.-7+6+2D.7+6-2数学模拟试卷（五）第1页（共12页)

19.(8分)请阅读材料，完成相应的任务.黄金三角形黄金三角形是一种特殊的等腰三角形，因其腰与底边（或底边与腰）的比金等于黄金比气一而得名.黄金三角指有的角三角形布能角三角形.其中锐角三角形的顶角为36°，底角为72°，而纯角三角形的顶角为108°，底角为36°.作一个黄金三角形为锐角三角形的作法为：如图1，作正方形ABCD,取AD的中点E,以点E为圆心，以EC长为半径作孤交AD的延长线于点F,以点A为圆心，以AD长为半径作弧，再以点D为圆心，以DF长为半径作弧，两弧交于点G,连接AG,DG,则△ADG为黄金三角形.证明如下：(1)证明△ADG为黄金三角形.证明-：设正方形ABCD的边长为2a,则AD=CD=20,:E是0的中点0B=0-2·四边形ABCD是正方形，.∠ADC=90在Rt△CDE中，由勾股定理得EC=√CD+DE2=图1√/(2a)2+a=√5a(2)证明△ADG的顶角为36°、GH入证明二：如图2，在AG上截取AH=DG,连接DHE由(1)知AD=AG=2a,DG=(√5-1)a,.AH=DG=(J5-1)aAG=2aDG_(5-1)a-5-12图2HG=AG-AH=2a-(5-1)a=(3-/5)a.HG(3-5)a-V5-1DG(5-1)a2数学第7页（共10页）L

厅力材料全国教辅类一级报纸Mr.Smith goinga his old house onLEARNINGORoad?(1)Rent it新教材it at a low price?was thinking of外研高三基础ng it into a restaurant.t a bad idea.(1)0 to Hotel StratfordENGLISH器关污第12期总19741期th Avenue,please2022年9月20日星期二serious traffic jam主管单位山西省教育厅主办单位山西教育教辅传媒集团编辑出版学英语报杜社长吕夺明总编李若编审Nancy E.Riey国内统一刊号CN14-0702F同址http://www.xyybs.comssing near it so Ike a different route.★经外语教学与研究出版社授权在全国范围使用★vigation system saysaround 20 minutes.TEST YOURSELFs such a beautifueather report says本期资源码：tc9a46(Units3~4,(选择性必修)Book1sed to be windy inon.And there is a入商源码肤取月密童弹Classt chance of heavyNameMarks满分150分)e evening.(3)ggest you take an■试题命制：（学英语》报社试题测评组when you go out第一部分听力（共两节，满分30分】ays makes a call第一节（共5小题：每小题1.5分，满分7.5分7.What does the man suggest doing?听第9段材料，回答第14至17题ng working hours例：How much is the shirt?A.Hurrying home.14.What did the woman want to be at first?

+绿十2Y2y3定0，m(x=ty+12t设M(M),N(22),则十%=一2十2m为=32+26分（i)由PAM共线，得n2产20由PB,N共线，得n”222②……7分则由08经号产，团又号+营=1片以产20，®4T2将④代入③，得m=号-(-2)(-2》=--1)y-1少=P边边-(y+2)+1=+1m+22y1y22y1y22y1y2-632+2所以m=4.……8分(ⅱ)，点B一定在以MN为直径的圆内，证明如下：点B在以线段MN为直径的圆内台BM.BN0,⑤……9分因为Bi=(-2,y),Bp=(2,n）,所以Bi.B驴=2(-2)十nM,…10分由①、④，有%=3(2-)，故Bi.B市=2(-2)十ny=2-m1,而-2

第15期A3版Keys:(One possible version)语法进阶I.1.smoking2.to tell 3.doing1.Mrs Smith is very proud of her son,who was admitted by4.interesting5.had finishedthe University of Oxford last year.6.will be climbing7.had (been)sold8.have been painting2.Although my grandma has lived in New York for two9.1syears,she still can't adapt to the life there.10.getsⅡ3.Jenny feels a little homesick,so she may go home thisweekend.1.to take2.surrounded3.had received4.to translate5.to call4.Helen left Oxford last night and what she left for us6.playingⅢwas only a long letter.1.what2.that5.When I entered the office,I saw Professor Smith was3.whether4.whybeing interviewed by a journalist.5.whom6.whichV6.Tony's suggestion that we go camping in the junglethis time sounds exciting.1.so he must have gone home7.I'm too tired now,so I think it impossible (for me)to2.I had intended to take a trip to Paris with my friendfinish the task on timeSusanVI.1.was riding 2.needed3.whose3.You can come whenever you are free4.to cut5.for4.Because it is the city where I spent my childhood6.replacement7.paying8.grandchildren 9.regularly 10.a

again.a weekend of joy with untimited sleeping hours and dimer courses spec..made to my taste.雀weekend at home.【waved goodbye to my friends a签they ju7e以into their (athers'warm and comfortable cars.Curiously,this gave riseofeeling in me.It was not exactly what they called jealousy,but something edis(波走)、事knew all【could expect was an old bike Mom would ride alongonithebdly-oiled chain creaking(嘎吱f作响)against the wheel to announce her2riva.Every Friday when Mom came to pick me up for the weekend,it was a momentfull of great expectation and great unease.I always felt my face buming as we rodeour way in and out of the numerous cars and saw my friends'faces sticking out of cheear windows.It was like stepping into a ballroom with beautifully dressed ladies andfinding yoursel in a smelly T-shirt.To tell you the truth.Mom is quite a headache once in a while.She jesr looksahomely middle-aged housewife.Being a practitioner of DIY.she knits mowt ofysweaters,chiefly in old styles.Whenever caught by some curious classmates askingwhut brand my sweaters are.I'd force a smile and reply in a half joking-mannerhomemade.I couldn't remember when I started to find her such an embarrassment.As a litdleboy.I relied on her so much.She had been working at home.cooking in the kitehe.knitting by the lamp or riding across town to buy me a book I badly needed.I hadalways been much fun riding with mom.But just now there seemed to be soeingstanding between us.something that made her so strange to me and me to her.注意：1.线写词梵应为150左右：2、请按如下格式在答题卡的相应位置作答。Today she showed up in a strange raincoat.Mom tried to cover me with the back of the raincoat agaim as a storms set in._笺娇武意(4中饭)第10页绝位严·

当a>0时，由f'(x)>0,得x>a或x0，所以(x)在(0，十o∞)上单调递增。…8分【高二数学·参考答案第3页（共5页）】·23-466B·

第三单元物质构成的奥秘3.元素的分类80考》图解要点2图解要点2：金属元素：“钅”字旁（金、汞除外），最外层电子数一般我是金因为有漏元素我在小于4，易失电子分类非金属元素：“石”“”字旁、“气”字头，最外层电子数般大于或等于4(H、B除外)，易得电子我是气态非还不是因稀有气体元素：“气”字头，最外层电子数一般为8，氦金属元素！为有我！为2，不易得失电子知识点2元素周期表130考拓展延伸：1.元素周期表的发现5考元素周期表中的规律1869年，俄国化学家门捷列夫发现了元素周期律并编1.同一横行（周期）：从左至制出第一张元素周期表。右电子层数相同。2.同一纵列（族）：原子核外2.元素周期表中“一格”的信息125考（以镁元素为例）》拓展延伸最外层电子数相同（氦除原子序数(=核电荷数=元素符号外)，化学性质相似。质子数=核外电子数)12 Mg镁相对原子质量（单位为“1”，元素名称24.31般省略不写)重难题解法》答案见本册P86●元素周期表与微粒结构示意图105考·现学活用。例（教材P53图改编)如图1是钙元素在元素周期表中的相练（柳州中考改编）请根据镓元素(Ga)的原子结关信息及对应的原子结构示意图，图2是几种粒子的结构示构示意图回答下列问题：意图，请回答下列相关问题。20 Ca钙28n1882818m40.083图1图213A114☒铝(1)钙元素的相对原子质量为26.9828.09(2)图1中n的数值为30Y31☑32Ge锗(3)图2中与钙原子化学性质相似的是(填序号)。65.3869.7272.63(4)图2所示粒子共表示种元素，其中具有相对稳(1)m的值为定结构的原子是(填名称)。(2)镓离子的离子符号为带你审题根据题干和图示信息可知本题考查的是元素周期●表与微粒结构示意图，利用元素周期表中“一格”信息图示和(3)试分析，镓元素在元原子的结构示意图进行分析。素周期表中的位置应在解题思路（1)由元素周期表中“一格”信息图示，可知元素名称(填字母)处。正下方的数字表示该元素的相对原子质量。(2)原子结构示意图中，质子数等于核外电子数。(3)原子的最外层电子数相同，则化学性质相似。(4)质子数或核电荷数相同的粒子属于同种元素；最外层电子数为8的粒子具有相对稳定结构。23