期中复习试卷
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2024-2025学年第一学期深圳市宝安区九年级期中数学复习训练试卷(时间:90分钟,满分:100分)一、选择题:本题共10题,每题3分,共30分.每小题只有一个选项符合题目要求.1.下列几何体中,主视图是三角形的为()A .B.C.D.2.一元二次方程2450x x +-=经过配方后,可变形为()A.()221x -=B.()2 21x +=-C.()229x +=D.()229x -=3.如图,直线123l l l ∥∥,直线AC 和DF 被1l ,2l ,3l 所截,AB =8,BC =12,EF =9,则DE 的长为()A.5B.6C.7D.84.“敬老爱老”是中华民族的优秀传统美德.小刚、小强计划利用暑期从A ,B ,C 三处养老服务中心中,随机选择一处参加志愿服务活动,则两人恰好选到同一处的概率是()A.12B.13C.16D.295.如图()4,2E -,()1,1F --,以O 为位似中心,相似比为12,把△EFO 缩小,则点E 的对应点E '的坐标为()A.()8,4-B.()8,4-或()8,4-C.()2,1-D.()2,1-或()2,1-6.在一个暗箱里放有a 个除颜色外其它完全相同的球,这a 个球中红球只有3个.每次将球搅拌均匀后,任意摸出一个球记下颜色再放回暗箱.通过大量重复摸球实验后发现,摸到红球的频率稳定在25%,那么可以推算出a 大约是()A.12B.9C.4D.37.如图,小明在A 时测得某树的影长为8m ,B 时又测得该树的影长为2m ,若两次日照的光线互相垂直,则树的高度为()A.2m B.4m C.6m D.8m8.如图,小树AB 在路灯O 的照射下形成投影BC.若树高AB=2m,树影BC=3m,树与路灯的水平距离BP=4.5m.则路灯的高度OP 为()A.3m B.4mC.4.5mD.5m 9.如图所示,在正方形ABCD 中,G 为CD 边中点,连接AG 并延长交BC 边的延长线于E 点,对角线BD 交AG 于F 点.已知FG=2,则线段AE 的长度为()A.6B.8C.10D.1210.如图,矩形ABCD ,点F 是C 边上的一点,把矩形ABCD 沿BF 折叠,点C 落在C 边上的点E 处,54AD AB ==,,点M 是线段C 上的动点,连接B ,过点E 作B 的垂线交BC 于点N ,垂足为H .以下结论:①ABE DEF ∽;②AE BE =DE EF ;③2CF =;④BM EN =54.其中正确的结论有()A.1个B.2个C.3个D.4个二、填空题:本大题共5个小题.每小题3分,共15分.把答案填在题中横线上.11.若53a b =,则a b b -的值为.12.一个不透明的口袋中装有10个红球和若干个黄球,这些球除颜色外都相同,九年二班数学兴趣小组进行了如下试验:从口袋中随机摸出1个球记下它的颜色后,放回摇匀,记为一次摸球试验,经过大量试验发现摸到红球的频率稳定在0.4附近,则口袋中黄球大约有______个.13.如图,已知路灯离地面的高度AB为4.8m,身高为1.6m的小明站在D处的影长为2m,那么此时小明离电杆AB的距离BD为m.14.如图,在一幅长80cm,宽50cm的长方形风景画的四周镶上一条金色纸边,制成一幅矩形挂图,如果要使整个挂图的面积是5400cm2,则金色纸边的宽为cm.15.如图,四边形ABCD是正方形,AB=6,E是BC中点,连接DE,DE的垂直平分线分别交AB、DE、CD于M、O、N,连接EN,过E作EF⊥EN交AB于F.下列结论中,正确结论是.(填序号)①△BEF∽△CNE;②MNBF=52AF;④△BEF的周长是12.三、解答题:本大题共6个小题,共55分,解答应写出文字说明、证明过程或演算步骤16.解方程:(1)x2﹣4x﹣5=0(2)(3x﹣1)2=2(3x﹣1),17.如图,在△ABC中,AB=AC,D为BC边上一点,E为AC边上一点,且∠ADE=∠B.(1)求证:△ABD∽△DCE;(2)若AC=12,BC=11,CE=2,求BD的长.18.为了培养青少年体育兴趣、体育意识,某校初中开展了“阳光体育活动”,决定开设篮球、足球、乒乓球、羽毛球、排球这五项球类活动,为了了解学生对这五项活动的喜爱情况,随机调查了一些学生(每名学生必选且只能选择这五项活动中的一种).根据以下统计图提供的信息,请解答下列问题:(1)本次被调查的学生有______名,补全条形统计图;(2)扇形统计图中“羽毛球”对应的扇形的圆心角度数是______;(3)学校准备推荐甲、乙、丙、丁四名同学中的2名参加全市中学生篮球比赛,则甲和乙同学同时被选中的概率是多少?19.如图,AB 和DE 是直立在地面上的两根立柱.AB=7m,某一时刻AB 在太阳光下的投影BC=4m.(1)请你在图中画出此时DE 在阳光下的投影;(2)在测量AB 的投影时,同时测量出DE 在阳光下的投影长为8m,计算DE 的长.19.今年超市以每件25元的进价购进一批商品,当商品售价为40元时,三月份销售256件,四、五月该商品十分畅销,销售量持续上涨,在售价不变的基础上,五月份的销售量达到400件.(1)求四、五这两个月销售量的月平均增长百分率.(2)经市场预测,六月份的销售量将与五月份持平,现商场为了减少库存,采用降价促销方式,经调查发现,该商品每降价1元,月销量增加5件,当商品降价多少元时,商场六月份可获利4250元?21.在Rt ABC ∆中,90,20cm,15cm ∠=︒==C AC BC ,现有动点P 从点A 出发,沿AC 向点C 方向运动,动点Q 从点C 出发,沿线段CB 向点B 方向运动,如果点P 的速度是4cm/s ,点O 的速度是2cm/s ,它们同时出发,当有一点到达所在线段的端点时,就停止运动(05t ≤≤).设运动时间为t 秒,求:(1)用含t的代数式表示CQ,CP;(2)当t为多少时,PQ的长度等于10(3)当t为多少时,以点C,P,Q为顶点的三角形与ABC相似?22.(1)某学校“智慧方园”数学社团遇到这样一个题目:如图1,在△ABC中,点O在线段BC上,∠BAO=30°,∠OAC=75°,AO=33,BO:CO=1:3,求AB的长.经过社团成员讨论发现,过点B作BD∥AC,交AO的延长线于点D,通过构造△ABD就可以解决问题(如图2).请回答:∠ADB=°,AB=.(2)请参考以上解决思路,解决问题:如图3,在四边形ABCD中,对角线AC与BD相交于点O,AC⊥AD,AO=33,∠ABC=∠ACB=75°,BO:OD=1:3,求DC的长.参考解答一、选择题:本题共10题,每题3分,共30分.每小题只有一个选项符合题目要求.1.A【分析】分别判断出各选项中的几何体的主视图,即可得出答案.【详解】解:A、圆锥的主视图是三角形,故本选项符合题意;B、球的主视图是圆,故本选项不符合题意;C、长方体的主视图是长方形,故本选项不符合题意;D、三棱柱的主视图是长方形,故本选项不符合题意;故选:A.2.【答案】C【分析】先移项,然后利用完全平方公式配方即可.【详解】∵2450x x +-=,∴245x x +=,∴24454x x ++=+,∴()229x +=.故选:C.3.【答案】B 【分析】根据平行线分线段成比例可知AB DE BC EF=,代值求解即可得到结论.【详解】解:∵123l l l ∥∥,∴AB DE BC EF=,∵AB =8,BC =12,EF =9,∴8129DE =,解得DE =6,故选:B.4.【答案】B【分析】画出树状图展示所有9种等可能的结果数,找出两人恰好选择同一场所的结果数,然后根据概率公式求解.【详解】解:画树状图如图:共有9种等可能的结果数,其中两人恰好选择同一场所的结果数为3,∴小刚、小强两人恰好选择同一场馆的概率3193==,故选:B.5.【答案】D【分析】将点E (-4,2)的坐标同时乘以12或-12即可求得点E ′的坐标【详解】根据题意可知,点E 的对应点E ′的坐标是E (-4,2)的坐标同时乘以12或-12,所以点E ′的坐标为(-2,1)或(2,-1).故选D.6.【答案】A【分析】此题主要考查了利用频率估计概率,解答此题的关键是利用红球的个数除以总数等于频率.【详解】解:∵a 个球中红球有3个,通过大量重复摸球实验后发现,摸到红球的频率稳定在25%,∴325%a=,∴12a =.故选:A.7.【答案】B【分析】根据题意,画出示意图,易得Rt Rt EDC CDF ∽F,进而可得DE CD CD DF=,代入数据求解即可得答案.【详解】解:根据题意做出示意图,则CD EF ⊥,CE CF ⊥,2m DE =,8m DF =,∴90EDC CDF ECF ∠=∠=∠=︒,∴90E ECD ECD DCF ∠+∠=∠+∠=︒,∴E DCF ∠=∠,∴Rt Rt EDC CDF ∽,∴DE CD CD DF=,即28CD CD =,∴22816CD =⨯=,∴4m CD =(负值舍去).故选:B.8.【答案】D【分析】根据在同一灯光照射下任何物体的高度与其影子的比值不变建立等量关系即可求解.【详解】解:在同一灯光照射下任何物体的高度与其影子的比值不变:∵当树高AB=2m,树影BC=3m,且BP=4.5m ∴OP AB PC BC =,代入得:27.53OP =∴5OP =m故选:D9.【答案】D【详解】分析:根据正方形的性质可得出AB∥CD,进而可得出△ABF∽△GDF,根据相似三角形的性质可得出AF AB GF GD==2,结合FG=2可求出AF、AG 的长度,由CG∥AB、AB=2CG 可得出CG 为△EAB 的中位线,再利用三角形中位线的性质可求出AE 的长度,此题得解.详解:∵四边形ABCD 为正方形,∴AB=CD,AB∥CD,∴∠ABF=∠GDF,∠BAF=∠DGF,∴△ABF∽△GDF,∴AF AB GF GD==2,∴AF=2GF=4,∴AG=6.∵CG∥AB,AB=2CG,∴CG 为△EAB 的中位线,∴AE=2AG=12.故选D.10.【答案】B【分析】本题考查折叠的性质以及相似三角形的判定和性质,勾股定理等知识,掌握勾股定理和相似三角形的判定与性质是解题的关键.利用矩形的折叠相关知识,先用勾股定理求出AE DE ,,设EF FC x ==,结合EF FC =和Rt DEF 利用勾股定理列出方程可求出 2.5CF =,从而判定③错误,利用一线三直角模型可证明ABE DEF ∽,从而判定①正确,利用相似三角形的性质可知AB BE =DE EF,而43AB AE =≠=,从判定故②错误,作EG BC ⊥,证明BMC ENG ∽△△,可判断故④正确,从而得解.【详解】由矩形的性质得:5AD BC ==,4AB CD ==,90A ABC C D ∠=∠=∠=∠=︒,由折叠的性质得90BEF C ∠=∠=︒,5BE BC ==,EF FC =,在Rt ABE △中,3AE ===,∴2DE AD AE =-=,设EF FC x ==,∴4DF CD CF x =-=-,在Rt DEF △中,()22224x x +-=,解得 2.5x =,即 2.5CF =,故③错误;在矩形ABCD 中,90A ∠=︒,∴90AEB EBA ∠+∠=︒,又∵90BEF ∠=︒,∴18090FED AEB AEB EBA BEF ∠=︒-∠=︒∠=∠∠--,∵EBA FED ∠=∠,A D ∠=∠,∴ABE DEF ∽,故①正确;∵ABE DEF ∽,∴AB BE =DE EF,∵43AB AE =≠=,∴AE BE ≠DE EF,故②错误;作EG BC ⊥,则四边形ABGE 是矩形,∴4EG AB ==,∵EN BM ⊥,∴90BHN C EGN ∠=∠=∠=︒,∴9090BMC MBC BNH NEG ∠=︒-∠=∠=︒-∠,∴BMC ENG ∽△△,∴54BM BC EN EG ==,故④正确;故正确的有①④,共两个.故选B.二、填空题:本大题共5个小题.每小题3分,共15分.把答案填在题中横线上.11.【答案】23【分析】本题主要考查了比例的基本性质.根据分比定理“如果::a b c d =,那么():():a b b c d d -=-(b 、0)d ≠”解答.熟练掌握分比定理是解题的关键.【详解】解: 53a b =,∴53233a b b --==.故答案为:23.12.【答案】15【解析】【分析】设袋子中黄球约有x个,根据题意可知从袋子中随机摸出一个红球的概率为0.4,由此根据概率公式建立方程求解即可.【详解】解:设袋子中黄球约有x个,∵通过多次重复试验发现摸出红球的频率稳定在0.4附近,∴从袋子中随机摸出一个红球的概率为0.4,∴100.4 10x=+,解得15x=,经检验,15x=是原方程的解,∴袋子中黄球约有15个,故答案为:15.13.【答案】4【分析】根据题意得△ABC∽△EDC,相似三角形成比例得解.【详解】∵△ABC∽△EDC,∴ED CD=AB CB,1.62=4.8CB,CB=6,BD=6-2=4.故BD为4m.14.【答案】5.【分析】利用等量关系应该是:(风景画的长+2个纸边的宽度)×(风景画的宽+2个纸边的宽度)=整个挂图的面积,由此可得出方程,解方程即可求解.【详解】解:设金色纸边的宽为xcm,由题意得(80+2x)(50+2x)=5400,解得:x 1=5,x 2=-70(舍去)答:金色纸边的宽为5cm .故答案为:515.【答案】①②④【分析】由∠BFE =∠CEN ,∠B =∠C 即可证得△BEF ∽△CNE ,即可判断①正确;根据三角形面积公式即可判断②正确;求得BF =4,即可得到BF =2AF ,即可判断③错误;根据勾股定理求得EF ,即可求△BEF 的周长是12,即可判断④正确;即可求解.【详解】解:∵EF ⊥EN ,∴∠FEN =90°,∴∠BEF +∠CEN =90°,∵四边形ABCD 是正方形,∴∠ABC =∠DCB =90°,∴∠BEF +∠BFE =90°,∴∠BFE =∠CEN ,∵∠B =∠C ,∴△BEF ∽△CNE ,故①正确;∵四边形ABCD 是正方形,AB =6,E 是BC 中点,∴CD =AB =BC =6,∴CE =BE =3,∴DE ==∵MN 垂直平分BE ,∴122OD OE DE ===,EN =DN ,设DN =x ,则EN =x ,CN =6﹣x ,连接MD ,∵222EN EC CN =+,∴2223(6)x x =+-,解得154x =,∴15.4DN =,∵1122DMN S DN AD MN OD ∆=⋅⋅=⋅⋅,∴DN AD MN OD ⋅=⋅,即15642MN ⨯=,∴MN =∵△BEF ∽△CNE ,∴BFBECE CN =,∵BE =CE =3,1596,44CN =-=,∴334BF =,∴BF =4,∴AF =6﹣4=2,∴BF =2AF ,故③错误;∵BE =3,BF =4,∴EF =5,∴△BEF 的周长=3+4+5=12,故④正确;故答案为:①②④.三、解答题:本大题共6个小题,共55分,解答应写出文字说明、证明过程或演算步骤16.解:(1)x 2﹣4x﹣5=0(x+1)(x﹣5)=0x+1=0或x﹣5=0解得:x 1=﹣1,x 2=5;(2)(3x﹣1)2=2(3x﹣1),(3x﹣1)2﹣2(3x﹣1)=0,(3x﹣1)[(3x﹣1)﹣2]=03x﹣1=0或3x﹣3=0解得:x 1=13,x 2=1.17.解:(1)证明:∵AB =AC∴∠B =∠C∵∠ADC =∠B +∠BAD∠ADC =∠ADE +∠CDE∵∠ADE =∠B∴∠BAD=∠CDE∴△ABD ∽△CDE(2)∵AB =AC ,AC =12∴AB =12由(1)知,△ABD∽△CDE∴ABCD=BDCE即1211BD-=2BD∴BD=3或818.(1)解:根据题意得本次被调查的学生人数3030%100=÷=(人),喜爱足球的人数为:100302010535----=(人),条形图如图所示,故答案为:100;(2)解:“羽毛球”人数所占比例为:10100=10%÷,所以,扇形统计图中“羽毛球”对应的扇形的圆心角度数36010%=36=︒⨯︒,故答案为:36︒;(3)解:设甲、乙、丙、丁四名同学分别用字母A,B,C,D表示,根据题意画树状图如下:∵一共有12种可能出现的结果,它们都是等可能的,符合条件的有两种,∴P (A 、B 两人进行比赛)21126==.19.解:(1)连接AC,过点D 作DF∥AC,交直线BC 于点F,线段EF 即为DE 的投影.(2)∵AC∥DF,∴∠ACB=∠DFE.∵∠ABC=∠DEF=90°∴△ABC∽△DEF.∴AB:DE=BC:EF,∵AB=7m,BC=4m,EF=8∴7:4=DE:8∴DE=14(m).20.(1)解:设平均增长率为x ,由题意得:()22561400x ⨯+=,解得:0.25x =或 2.25x =-(舍);∴四、五这两个月的月平均增长百分率为25%;(2)解:设降价y 元,由题意得:()()402540054250y y --+=,整理得:2653500y y +-=,解得:5y =或70y =-(舍);∴当商品降价5元时,商场六月份可获利4250元.21.解:(1)由运动知,AP =4t cm,CQ =2t cm,AC =20cm,∴CP =(20-4t )cm,点P 在AC 上运动,∴4t ≤20,即t ≤5,点Q 在BC 运动,∴2t ≤15,∴t ≤7.5,∴0≤t ≤5,故答案为:CQ =2t cm,CP =(20-4t )cm,0≤t ≤5;(2)在Rt△PCQ 中,根据勾股定理得,222PQ CP CQ +=,222(204)(2)t t ∴=-+,解得:2t =或6t =(舍去),故答案为:2;(3) 以点C ,P ,Q 为顶点的三角形与ABC ∆相似,且∠C =∠C =90°,∴①△CPQ ∽△CAB ,CP CQ AC BC∴=,20422015t t -∴=,∴t =3,②△CPQ ∽△CBA ,CP CQ BC AC∴=,20421520t t -∴=,4011t ∴=,即当t 为3或4011时,以点C ,P ,Q 为顶点的三角形与ABC ∆相似,故答案为:3或4011.22.解:(1)∵BD∥AC,∴∠ADB=∠OAC=75°.∵∠BOD=∠COA,∴△BOD∽△COA,∴13OD OB OA OC ==.∴OD=13∵∠BAD=30°,∠ADB=75°,∴∠ABD=180°-∠BAD-∠ADB=75°=∠ADB,故答案为(2)过点B作BE∥AD交AC于点E,如图所示.∵AC⊥AD,BE∥AD,∴∠DAC=∠BEA=90°.∵∠AOD=∠EOB,∴△AOD∽△EOB,∴BO EO BE DO AO DA==.∵BO:OD=1:3,∴13 EO BEAO DA==.∵∠ABC=∠ACB=75°,∴∠BAC=30°,AB=AC,∴AB=2BE.在Rt△AEB中,BE2+AE2=AB22+BE2=(2BE)2,解得:BE=4,∴AB=AC=8,AD=12.在Rt△CAD中,AC2+AD2=CD2,即82+122=CD2,.。
2024-2025学年外研版英语小学三年级上学期期中复习试卷与参考答案一、听力部分(本大题有12小题,每小题2分,共24分)1、听力材料:A. Hello, how are you?B. I’m fine, thank you. And you?C. I’m not good. I have a cold.Question: How is the speaker in option B feeling?Answer: A解析:在选项B中,说话者说“I’m fine, thank you. And you?”,表示他感觉很好。
因此,答案是A。
2、听力材料:A. There are three apples on the table.B. There are two cats in the garden.C. There are five birds in the sky.Question: Which sentence is about the number of objects in the sky? Answer: C解析:在选项C中,句子提到“there are five birds in the sky”,表示天空中有五只鸟。
因此,答案是C。
A. It’s sunny.B. It’s rainy.C. It’s windy.Answer: BExplanation: The correct answer is B because the dialogue or text in the listening section likely mentions that it is raining today.4、How many apples does Tom have?A. 5 apples.B. 10 apples.C. 15 apples.Answer: BExplanation: The correct answer is B because the listening section should provide information about the number of apples Tom has, and the dialogue or text should state that Tom has ten apples.5、What is the boy doing in the picture?A. He is eating an apple.B. He is reading a book.C. He is playing with a ball.Answer: BExplanation: The boy in the picture is sitting at a table with a book in his hands, indicating he is reading a book.A. It’s sunny.B. It’s cloudy.C. It’s rainy.Answer: AExplanation: The teacher says, “Look outside, the sky is clear and bright. It’sa sunny day today.” Therefore, the correct answer is sunny.7、Listen to the conversation and choose the correct answer.A. The boy wants to play soccer.B. The girl wants to play basketball.C. They both want to go to the park.Answer: BExplanation: The conversation goes like this:Boy: Hey, do you want to play soccer with me?Girl: No, I’d rather play basketball.The girl expresses her preference for basketball, so the correct answer is B.8、Listen to the question and choose the correct answer.Question: What is the weather like today?A. It’s sunny.B. It’s rainy.C. It’s cloudy.Answer: BExplanation: The question asks about the weather. In the dialogue, the speaker says, “It’s raining cats and dogs outside.” This implies t hat it is raining heavily, so the correct answer is B.9.You hear a conversation between two friends at a playground. The first person says, “Hey, look at that kite in the sky. It’s so colorful!”A. What are they talking about?1.A kite2.A ball3.A bikeAnswer: 1. A kiteExplanation: The conversation explicitly mentions a kite, which is the focus of their discussion.10.Listen to a short dialogue between a teacher and a student. The teacher asks, “How was your weekend, Tom?”A. What does the teacher ask Tom about?1.His homework2.His weekend activities3.His school projectsAnswer: 2. His weekend activitiesExplanation: The teacher’s question, “How was your weekend,” directly inquires about Tom’s experiences over the weekend, not about his homework or school projects.11.Listen to the dialogue and choose the correct answer.A. What’s the weather like today?B. It’s a sunny day.C. I’m going to the park.Answer: BExplanation: The question asks about the weather. The dialogue likely mentions that it’s a sunny day, so the correct answer is B.12.Listen to the story and answer the question.Q: Where does the story take place?A. In a schoolB. At the beachC. In a forestAnswer: CExplanation: The story is likely about an adventure in a forest. Therefore, the correct answer is C.二、选择题(本大题有12小题,每小题2分,共24分)1、What is the weather like today?A. It’s sunny.B. It’s rainy.C. It’s windy.Answer: BExplanation: The correct answer is “It’s rainy” because the question asksfor the weather today, and option B correctly identifies it as rainy. Options A and C describe different weather conditions but do not match the question’s prompt.2、My mother buys me a new book every weekend. This weekend, she will buy me _______.A. aB. anC. theAnswer: AExplanation: The correct answer is “a” because it is used to indicate an indefinite article before a singular noun that begins with a consonant sound. “New book” starts with the consonant sound /n/, so “a” is the appropriate article to use. Option B, “an,” is used before vowels or vowel sounds, and option C, “the,” is used to refer to something specific that is already known or mentioned.3、My birthday is in __________.A. June 21stB. July 12thC. August 25thAnswer: BExplanation: The question is asking for the month of the student’s birthday. The correct answer is July 12th.4、There are__________apples on the table.A. 5B. 10C. 15Answer: BExplanation: The question is asking for the number of apples on the table. The correct answer is 10.5、Choose the correct word to complete the sentence.Tom is very__________in English.A. goodB. interestingC. happyAnswer: AExplanation: The correct ans wer is “good” because it means that Tom is skilled or has a high level of proficiency in English. “Interesting” and “happy” are not appropriate in this context.6、Match the phrases with their correct meanings.A. I have a pen.1.I have a pencil.B. I have a pencil.2.I have a book.C. I have a book.3.I have a pen.Answer: A-3, B-1, C-2Explanation: The phrases should be matched with their corresponding items. “I have a pen” matches with “I have a pencil” (B-1), “I have a pencil” matches with “I have a book” (B-2), and “I have a book” matches with “I have a pen” (C-3).7、What is the animal that lives in the forest?A. FishB. ElephantC. ChickenD. SharkAnswer: BExplanation: The correct answer is “Elephant” because elephants are commonly found in forests. The other options are animals that typically live in different habitats. Fish live in water, chickens are often domesticated and can live in various environments, and sharks are found in oceans.8、Which color is the sky at night?A. RedB. BlueC. YellowD. BlackAnswer: DExplanation: The correct answer is “Black” because at night, the sky appears dark as the Earth’s atmosphere absorbs the sunlight, making the sky seem black. The other colors mentioned are typically associated with the sky during the day.9.Choose the correct word to complete the sentence.The cat is sleeping on the __________.A. floorB. tableC. chairAnswer: AExplanation: The correct answer is “floor” because it is the most common place where a cat would sleep. “Table” and “chair” are less likely as they are typically used for sitting or placing objects on.10.Select the word that does not belong in the following list.A. appleB. bananaC. pencilD. eggAnswer: CExplanation: “Apple,” “banana,” and “egg” are all types of food. “Pencil” is a writing instrument and does not belong with the other items listed, which are all edible.11.Choose the correct word to complete the sentence.A. playB. playedC. playingD. to playThe teacher asked us_______(A) at the park today.Answer: CExplanation: The sentence is in the simple past tense, so we need the past simple form of the verb. “Playing” is the gerund form, which is not appropriate here. “To play” is the infinitive form, and “play” is the base form. The correct choice is “played,” which is the past simple form.12.Select the word that does not belong in the group.A. happyB. sadC. hungryD. happyThe children are feeling_______(D) because it’s lunchtime.Answer: DExplanation: The word “happy” is repeated in the options, which means it does not belong in the group of words that describe different feelings. “Happy,” “sad,” and “hungry” are all adjectives that describe different emotions, while “happy” is repeated, making it the odd one out.三、完型填空(10分)Task 3: Cloze TestRead the passage and choose the best word for each blank from the options given below.Last weekend, Tom went to the [1] park with his family. They decided to have a picnic because the weather was [2]. As they were setting up the blanket, they saw a [3].1.A. large B. small C. beautiful D. nice2.A. sunny B. cloudy C. windy D. rainy3.A. dog B. cat C. bird D. fishTom and his family [4] the dog over to their blanket. The dog [5] them to play fetch.4.A. followed B. brought C. called D. watched5.A. invited B. challenged C. taught D. taughtAnswers:1.D. nice2.A. sunny3.A. dog4.A. followed5.B. challenged四、阅读理解(26分)Title: My Weekend AdventureOne sunny Saturday morning, Xiao Ming woke up early. He had planned a special adventure for the weekend. His parents were going to visit their grandparents, so he had the whole day to himself. Xiao Ming decided to go on a nature hike in the nearby forest.As he put on his hiking boots and backpack, he felt excited. He took a map of the forest and some snacks. The path was well-marked, and Xiao Ming followed it carefully. He loved the sound of the birds singing and the rustling leaves under his feet. The forest was filled with beautiful trees, flowers, and streams.After walking for about an hour, Xiao Ming came across a small clearing. There was a wooden bench there, and he decided to take a break. He sat down and enjoyed the peacefulness of nature. As he looked around, he noticed something unusual. There was a small, golden bird perched on a low branch. It was beautiful and shiny, with a bright red crest on its head.Xiao Ming was fascinated. He watched the bird for a few minutes, trying to catch a glimpse of its feathers in the sunlight. Suddenly, the bird fluttered its wings and flew towards him. Xiao Ming reached out his hand, and the bird landed on his palm. It was so light and warm.The bird stayed with Xiao Ming for about 10 minutes, and then it flew away. Xiao Ming felt a sense of wonder and happiness. He continued his hike, but now he felt even more connected to nature.Finally, after a few hours, Xiao Ming reached the forest exit. He was tired but happy. He had had an unforgettable adventure. As he walked home, he thought about the golden bird and the beautiful day he had just spent in the forest.Questions:1.Why did Xiao Ming decide to go on a nature hike?2.What did Xiao Ming notice about the bird when he first saw it?3.How did Xiao Ming feel at the end of his adventure?Answers:1.Xiao Ming decided to go on a nature hike because his parents were visiting their grandparents, and he had the whole day to himself.2.Xiao Ming noticed that the bird was small, golden, and had a bright red crest on its head.3.Xiao Ming felt tired but happy at the end of his adventure.五、写作题(16分)Title: My Favorite AnimalInstructions: Write a short passage describing your favorite animal. Include its name, appearance, and why you like it so much. Be creative and use interesting adjectives.Example:My favorite animal is the giraffe. Giraffes are very tall and have long necks. They have brown and white spots all over their bodies, which make them look likethey are wearing a unique pattern. I like giraffes because they are gentle and have a calm nature. They are also very unique and special because no two giraffes have the same spots. In addition, giraffes are the tallest land animals in the world, which is amazing. I enjoy watching them in the zoo and learning more about their fascinating lives.Analysis:This example follows the instructions by describing a favorite animal (giraffe), including its name, appearance (tall, long neck, brown and white spots), and reasons for liking it (gentle, calm nature, unique spots, tallest land animal). The passage is creative and uses adjectives like “unique,” “fascinating,” and “amazing” to enhance the description. The structure is clear and concise, making it easy for the reader to understand the writer’s preference for the giraffe.。
中学音乐期中复习真题试卷一、选择题(每题 3 分,共 30 分)1、下列音符中,时值最长的是()A 八分音符B 四分音符C 二分音符D 全音符2、一个全音符等于几个八分音符()A 2 个B 4 个C 8 个D 16 个3、下列力度记号中,表示“很强”的是()A ppB pC fD ff4、以下哪个是中国民族乐器()A 小提琴B 钢琴C 二胡D 萨克斯5、《梁山伯与祝英台》是一首()A 小提琴协奏曲B 钢琴协奏曲C 二胡协奏曲D 萨克斯协奏曲6、京剧的行当分为()A 生、旦、净、丑B 唱、念、做、打C 手、眼、身、法、步D 以上都是7、以下哪首歌曲是由周杰伦演唱的()A 《双截棍》B 《青花瓷》C 《七里香》D 以上都是8、音乐的基本要素包括()A 旋律、节奏、和声、音色B 力度、速度、调式、曲式C 以上都是D 以上都不是9、以下哪种节奏型属于切分节奏()A X X XB X X XC X X XD X X X10、《命运交响曲》的作者是()A 莫扎特B 贝多芬C 舒伯特D 巴赫二、填空题(每题 3 分,共 30 分)1、常见的音符有_____、_____、_____、_____等。
2、音的高低是由_____决定的,音的长短是由_____决定的。
3、我国的五声音阶是_____、_____、_____、_____、_____。
4、声乐演唱的形式有_____、_____、_____等。
5、西洋乐器中的弦乐器有_____、_____、_____等。
6、音乐记号“mf”表示_____。
7、歌曲《让我们荡起双桨》的曲作者是_____。
8、力度记号“p”表示_____。
9、节奏是指音乐中_____的组织形态。
10、民族乐器中的吹奏乐器有_____、_____、_____等。
三、判断题(每题 2 分,共 20 分)1、音程是指两个音之间的距离。
()2、《二泉映月》是一首笛子独奏曲。
()3、合唱是一种多声部的演唱形式。
2024-2025学年福建省语文小学六年级上学期期中复习试卷(答案在后面)一、基础知识与积累(本大题有9小题,每小题4分,共36分)1、下列词语中,加点字的注音完全正确的一项是:A. 窗棂(líng)静谧(mì)沉湎(miǎn)B. 拈轻怕重(niān)咄咄逼人(duō)铿锵有力(qiāng)C. 蕴藏(yùn)恍若隔世(huǎng)翻箱倒柜(dǎo)D. 毛茸茸(róng)琢磨(mó)呼啸山庄(xiào)2、下列句子中,没有语病的一项是:A. 学校决定对教学楼进行大规模的翻新,预计将在明年上半年完工。
B. 为了提高学生的环保意识,学校组织了一次植树造林活动。
C. 他虽然成绩优秀,但是性格内向,不太喜欢与人交流。
D. 通过这次社会实践,我深刻地认识到了团队合作的重要性。
3、下列加点字注音全部正确的一项是:A. 拥挤(yōng jǐ)倒霉(dǎo méi)摇曳(yáo yè)B. 奔跑(bēn pǎo)咆哮(páo xiào)呼啸(hū xiào)C. 慷慨(kāng kǎi)搏斗(bó dòu)纷飞(fēn fēi)D. 翻滚(fān gǔn)漂泊(piāo bó)奔腾(bēn téng)4、下列词语中,字形、字音完全正确的一项是:A. 翱翔(áo xiáng)拥挤(yōng jǐ)倾盆大雨(qīng pén dà yǔ)B. 倔强(jué jiàng)摆脱(bǎo tuō)惊涛骇浪(jīng tāo hài làng)C. 坚固(jiān gù)沉默(chén mò)油然而生(yóu rán ér shēng)D. 慷慨(kāng kǎi)骄傲(jiāo ào)倾盆大雨(qīng pén dà yǔ)5、下列词语中加点字音形完全正确的一项是:A. 珍珠(zhēn zhū)琢磨(zhuó mó)竹篮(zhú lán)B. 倾斜(qīng xié)暴发(bào fā)红晕(hóng yùn)C. 慢吞吞(màn tūn tūn)沉默(chén mò)奋进(fèn jìn)D. 暴躁(bào zào)纠结(jiū jié)紧张(jǐn zhāng)6、下列句子中加点词语使用不恰当的一项是:A. 小明家的葡萄架上挂满了紫色的葡萄,晶莹剔透,真美啊!B. 李老师耐心地为我们讲解题目的解题思路,让我们受益匪浅。
2024-2025学年度上学期高一数学期中复习卷本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,满分150分,考试时间120分钟.第Ⅰ卷(选择题)一、单选题:本题共8小题,每小题5分,共40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.已知集合{}21A y y x ==+,集合(){}2,1B x y y x ==+,下列关系正确的是()A .AB =B .0A ∈C .(1,2)B ∈D .(0,0)B∈2.函数3y =的定义域为()A .{}|33x x -≤≤B .{|33x x -<<且}1x ≠C .{}|33x x -<<D .{|3x x <-或}3x >3.已知)1fx =-()f x 的解析式为()A .2()1f x x =-B .2()1(1)f x x x =+≥-C .2()1(1)f x x x =-≥-D .2()1f x x =+4.学里有一种证明方法为无字证明,是指仅用图形而无需文字解释就能不证自明的数学命题.在同一平面内有形状、大小相同的图1和图2,其中四边形ABCD 为矩形,BCE 为等腰直角三角形,设AB )0BC b a =≥>,则借助这两个图形可以直接无字证明的不等式是()A .2a b+≥B .2aba b≤+C .22a b +≥D .2a b +≤5.幂函数()()233mf x m m x =--在区间()0,∞+上单调递减,则下列说法正确的是()A .4m =B .4m =或1m =-C .是奇函数D .是偶函数6.在上定义运算:()1x y x y *=-.若关于x 的不等式()10x x *-≥的解集是集合{}12x a x +≤≤的子集,则实数a 的取值范围()A. B. C. D.7.已知函数2()2+1,[0,2]f x x x x =-+∈,函数()1,[1,1]g x ax x =-∈-,对于任意1[0,2]x ∈,总存在2[1,1]x ∈-,使得21()()g x f x =成立,则实数a 的取值范围是()A .(,3]-∞-B .[3,)+∞C .(,3][3,)-∞-+∞ D .(,3)(3,)-∞-⋃+∞8.记号[]x 表示不超过实数x 的最大整数,若()270x f x ⎡⎤=+⎢⎥⎣⎦,则()()()()()1236970f f f f f +++++ 的值为()A .B .C .D .二、多选题:本题共3小题,每小题6分,共18分.在每小题给出的选项中,有多项符合题目要求.全部选对的得6分,部分选对的得部分分,有选错的得0分.9.已知p :260x x +-=;q :10ax +=.若p 是q 的必要不充分条件,则实数的值可以是()A .B .12-C .13D .13-10.下列说法正确的有()A .若()f x 的定义域为[]22-,,则()21f x -的定义域为13,22⎡⎤-⎢⎥⎣⎦B .()2x f x x=和()g x x =表示同一个函数C.函数2y x =-17,8⎛⎤-∞ ⎥⎝⎦D .函数()f x 满足()()221f x f x x --=-,则()213f x x =+11.定义域为的函数()f x 满足:()()22,,22x y x y x y f x f y f f +-⎛⎫⎛⎫∀∈=- ⎪ ⎪⎝⎭⎝⎭R ,当0x >时,()0f x <,则下列结论正确的有()A .()01f =B .()12y f x =+-的图象关于点()1,2--对称C .()()()()()()202320252024202220242023f f f f f f +=+D .()f x 在s +∞上单调递增()f x ()f x R 1a <-2a <-1a ≤-1a ≥-4898489949004901a 2-第Ⅱ卷(非选择题)三、填空题:本题共3小题,每小题5分,共15分.12.已知不等式²0ax bx c ++≤的解集为{|3x x ≤-或}4x ≥,则不等式²230bx ax c b +--≤的解集是______.13.设()2f x ax bx =+是定义在[]1,2a a -上的偶函数,则a b +的值是______;()f a =______.14.若存在常数k 和b ,使得函数()F x 和()G x 对其公共定义域上的任意实数x 都满足:()F x kx b ≥+和()G x kx b ≤+恒成立,则称此直线y kx b =+为()F x 和()G x 的“隔离直线”.已知函数()()2325,(0)f x x x g x x x=-=<,若函数()f x 和()g x 之间存在隔离直线2y x b =-+,则实数b 的取值范围是______.四、解答题:本题共5小题,共77分.解答应写出文字说明、证明过程或演算步骤.15.(本小题满分13分)已知关于x 的不等式()22237320x a x a a +-++-<的解集为.(1)若()7,3M =-,求不等式()22237320x a x a a -----+≤的解集;(2)若中的一个元素是,求实数的取值范围.16.(本小题满分15分)设全集,集合,集合.(1)若“x A ∈”是“x B ∈”的充分不必要条件,求实数a 的取值范围;(2)若B A ⊆,求实数a 的取值范围.M M 0a U =R {}|15A x x =≤≤{}122|B x a x a =--≤≤-17.(本小题满分15分)已知函数21()x f x x-=.(1)判断函数()f x 的奇偶性,并证明;(2)用函数单调性的定义证明:在(0,)+∞上为增函数;(3)求函数在区间[]2,4--上的最大值和最小值.18.(本小题满分17分)某企业投资生产一批新型机器,其中年固定成本为万元,每生产x 台,需另投入生产成本()R x 万元.当年产量不足25台时,()23R x x kx =+;当年产量不小于25台时()3200202133010R x x x =+-+,且当年产量为台时需另投入成本万元;若每台设备售价万元,通过市场分析,该企业生产的这批机器能全部销售完.(1)求的值;(2)求该企业投资生产这批新型机器的年利润所()W x (万元)关于年产量(台)的函数关系式(利润=销售额-成本);(3)这批新型机器年产量为多少台时,该企业所获利润最大?并求出最大利润.19.(本小题满分17分)若函数()f x 与()g x 满足:对任意的1x D ∈,总存在唯一的2x D ∈,使()()12f x g x m =成立,则称()f x 是()g x 在区间D 上的“m 阶伴随函数”;对任意的1x D ∈,总存在唯一的2x D ∈,使()()12f x f x m =成立,则称()f x 是区间D 上的“m 阶自伴函数”.(1)判断()21f x x =+是否为区间[]0,3上的“阶自伴函数”?并说明理由;(2)若函数()31f x x =-为区间上的“阶自伴函数”,求b 的值;(3)若()42f x x =+是()2221g x x ax a =-+-在区间[]0,2上的“2阶伴随函数”,求实数a的取值范围.()f x ()f x 1000101100200k x 2⎥⎦⎤⎢⎣⎡b ,211。
2024-2025学年第一学期人教版八年级期中数学复习训练试卷(天津)试卷满分:120分 考试时间:100分钟一、选择题本大愿共12小题每小题3分共36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.下列图形中,不是轴对称图形的是( )A .B .C .D .2.下列长度的三条线段中,能组成三角形的是( )A .,,B .,,C .,,D .,,3.用直尺和圆规作一个角等于已知角,如图,能得出的依据是( )A .B .C .D .4 . 一个等腰三角形的两边长分别为6和12,则这个等腰三角形的周长为( )A .30B .24C .18D .24或305. 如图,是的两条中线,连接.若,则( )A .1B .1.5C .2.5D .56. 如图,在△ABC 中,根据尺规作图痕迹,下列说法不一定正确的是( )3cm 1cm 1cm 1cm 2cm 3cm2cm 3cm 4cm 4cm 4cm 9cmAOB AO B '''∠=∠SSS SAS ASA AASAD CE ,ABC V ED 10ABC S =△S =阴影A.AF=BF B.AE=ACC.∠DBF+∠DFB=90°D.∠BAF=∠EBC7.如图,Rt△ABC中,∠ACB=90°,∠A=55°,将其折叠,使点A落在边CB上A′处,折痕为CD,则∠A′DB=( )A.40°B.30°C.20°D.10°8.如图,AC=FD,BC=ED,要利用“SSS”来判定△ABC和△FED全等时,下面的4个条件中:①AE=FB;②AB=FE;③AE=BE;④BF=BE,可利用的是( )A.①或②B.②或③C.①或③D.①或④9.如图,在△ABC中,已知点D,E,F分别为边AC,BD,CE的中点,且阴影部分图形面积等于4平方厘米,则△ABC的面积为( )A .8平方厘米B .12平方厘米C .16平方厘米D .18平方厘米10 . 如图,中,,且,垂直平分,交于点,交于点,若周长为16,,则为( )A .5B .8C .9D .1011. 如图,在中, 垂直平分,点P 为直线上的任意一点,则的最小值是( )A .6B .7C .8D .1012 .如图,C 为线段上一动点(不与点A ,E 重合),在同侧分别作正三角形和正三角形,与交于点O ,与交于点P ,与交于点Q ,连接.以下五个结论:①;②;③;④;其中恒成立的结论有( )个ABC V AB AE =AD BC ⊥EF AC AC F BC E ABC V 6AC =DC ABC V 906810BAC AB AC BC EF ∠=︒===,,,,BC EF AP BP +AE AE ABC CDE AD BE AD BC BE CD PQ AD BE =PQ AE ∥EQ DP =60AOB ∠=︒A .1B .2C .3D .4二、境空题:本大题共6小题,每小题3分,共18分,请将答案直接填在答题纸中对应的横线上。
2024-2025学年统编版语文小学六年级上学期期中复习试卷(答案在后面)一、基础知识与积累(本大题有9小题,每小题4分,共36分)1、下列词语中加点字的注音完全正确的一项是()A. 沧桑(cāng sāng)惊悚(jīng sǒng)突兀(tū wù)B. 汲引(jī yǐn)崭新(zhǎn xīn)搏击(bó jī)C. 呼啸(hū xiào)潮涌(cháo yǒng)摧毁(cuī huǐ)D. 岁月(suì yuè)崭新(zhēn xīn)搏击(bó jī)2、下列句子中,没有语病的一项是()A. 我曾经多次参观过这个纪念馆,每次都深受教育。
B. 这个展览馆展示了我国几千年的文化史,令人感叹不已。
C. 学校的运动会即将举行,同学们都在积极地为比赛做准备。
D. 通过这次学习,我对我国的历史文化有了更深的了解。
3、下列词语中加点字注音完全正确的一项是()A. 奇迹(jī qì)振奋(zhèn fèn)沉浸(chén jìn)B. 领悟(lǐng wù)摧毁(cuī huǐ)振奋(zhèn fèn)C. 奋进(fèn jìn)领悟(lǐng wù)沉浸(chén jìn)D. 振奋(zhèn fèn)挑战(tiǎo zhàn)沉浸(chén jìn)4、下列句子中,没有语病的一项是()A. 由于天气突变,导致我市出现了大面积的交通拥堵。
B. 他的演讲,不仅提高了我们的思想觉悟,还增强了我们的信心。
C. 她虽然取得了优异的成绩,但是并没有骄傲自满。
D. 为了提高我们的环保意识,学校决定在校园内开展环保宣传活动。
5、下列词语中,没有错别字的一组是()A. 碧波荡漾轰轰烈烈恣意妄为风华正茂B. 轰轰烈烈碧波荡漾妄意妄为风华正茂C. 碧波荡漾轰轰烈烈恣意妄为风华正茂D. 碧波荡漾轰轰烈烈妄意妄为风华正茂6、下列句子中,没有语病的一句是()A. 这场演讲比赛不仅提高了我们的口语表达能力,也使我们的思维能力得到了锻炼。
河南省南阳市语文小学六年级上学期期中复习试卷(答案在后面)一、基础知识与积累(本大题有9小题,每小题4分,共36分)1、下列词语书写完全正确的一组是( )A. 晶莹竭力赏试蜿蜒B. 勉励暴躁腼腆抱怨C. 忧虑严历敏捷魁梧D. 抱负遣责讥笑眷恋2、下列句子中加点成语使用不恰当的一项是( )A. 这场篮球赛精彩纷呈,比赛双方队员个个生龙活虎,场边观众也看得津津有味。
B. 无论在学习中还是工作中,我们都要勤学好问,不耻下问,这样才能不断进步。
C. 走进大自然,我们感到心旷神怡,所有的烦恼都烟消云散了。
D. 教室里人声鼎沸,同学们都在热烈地讨论着这次春游的具体安排。
3、根据拼音写汉字,并解释词语意思。
(每空2分,共10分)•lǚ xíng (旅行): 去不同的地方游玩或办事的行为。
•fēn fù (吩咐): 口头指派或命令。
•yí huò (疑惑): 对事物感到不确定或不解。
•zào rè (燥热): 气候或环境温度高且干燥。
•chéng fá (惩罚): 因做错事而受到的处罚。
5、下列句子中,加点的字音、字形、字义完全正确的一项是()A. 源远流长(yuan)/ 漫步(man)/ 聪明伶俐(ling)B. 风和日丽(he)/ 窃窃私语(qie)/ 震耳欲聋(lou)C. 井井有条(jing)/ 融会贯通(rong)/ 气喘吁吁(xu)D. 惊心动魄(dong)/ 欣喜若狂(xuan)/ 一丝不苟(kou)6、下列词语中,没有错别字且解释正确的一项是()A. 雅俗共赏(yǎsú gòng shǎng)/ 漫不经心(màn bù jīng xīn)/ 惊心动魄(j īng xīn dòng pò)B. 破釜沉舟(pòfǔ chén zhōu)/ 青出于蓝(qīng chū yú lán)/ 鸡犬升天(j īquǎn shēng tiān)C. 息息相关(xīxī xiāng guān)/ 破绽百出(pòzhàn bǎi chū)/ 略知一二(l üèzhī yī èr)D. 落落大方(luòluò dà fāng)/ 妙手偶得(miào shǒu ǒu dé)/ 一言难尽(y īyán nán jìn)7、下列词语中加点字的正确读音是:A. 憧憬(chōng jǐng)B. 蜷缩(juǎn suō)C. 颓废(tuí fèi)D. 镌刻(juàn kè)8、下面的句子中,没有语病的一项是:A. 这本书对我很感兴趣。
2024年部编版语文小学六年级上学期期中复习试卷(答案在后面)一、基础知识与积累(本大题有9小题,每小题4分,共36分)1、下列加点字的注音全部正确的一项是:A. 梦幻(huàn)精湛(zhàn)窈窕(tiǎo)B. 奔腾(bēn)憎恨(zēng)残暴(bào)C. 悠闲(xián)混沌(hùn)沉默(mò)D. 瞬间(shùn)奔波(bēn)领悟(wù)2、下列词语中,没有错别字的一项是:A. 欣喜若狂(xīn xǐ ruò kuáng)精疲力尽(jīng pí lì jìn)赫赫有名(hèhè yǒu míng)B. 举世瞩目(jǔshì zhǔ mù)鸿鹄之志(hóng hú zhī zhì)跃然纸上(yuèrán zhǐ shàng)C. 鸿毛小事(hóng máo xiǎo shì)莫衷一是(mòzhōng yī shì)鸡犬升天(j īquǎn shēng tiān)D. 面面相觑(miàn miàn xiāng jù)鸡鸣狗盗(jīmíng gǒu dào)欣欣向荣(x īn xīn xiàng róng)3、下列词语中,加点字的注音全部正确的一项是:A. 悬崖(xuān yá)沉默(chén mò)深刻(shēn kè)B. 雕刻(diāo kè)峰回路转(fēng huí luò zhuǎn)源远流长(yuán yuǎn liú cháng)C. 欣赏(xīn shǎng)奔腾(bēn téng)翱翔(áo xiáng)D. 汹涌(xiōng yǒng)奔波(bēn bō)调和(tiáo hé)4、下列各句中,没有语病的一项是:A. 通过这次活动,使同学们更加深刻地认识到集体主义精神的重要性。
2024-2025学年上外版英语高二上学期期中复习试卷与参考答案一、听力第一节(本大题有5小题,每小题1.5分,共7.5分)1、What does the man suggest the woman do?•[A] Take a taxi.•[B] Go to the airport earlier.•[C] Ask for help from a friend.•[D] Check the flight schedule online.Listen to the audio clip…Answer: [A] Take a taxi.Explanation:In the conversation, the man suggests that taking a taxi would be the quickest way to get to the airport on time given the current traffic conditions and the fact that her flight is leaving soon. He believes it’s more reliable than waiting for a bus or asking someone for a ride at such short notice.2、Where are the speakers most likely?•[A] In a library.•[B] In a restaurant.•[C] In a classroom.•[D] In a bookstore.Listen to the audio clip…Answer: [B] In a restaurant.Explanation:The speakers are discussing the menu and their food preferences, which indicates they are in a place where meals are served. One speaker mentions trying the new dish that has been highly recommended by the chef, and the other one agrees and talks about ordering drinks, which are typical behaviors of people dining out. Therefore, the context clearly points to them being in a restaurant.3.You hear a conversation between two students discussing their study plan for the upcoming midterm exams.A. The students are preparing for the English midterm exam.B. They are planning to study together in the library.C. They are trying to find a quiet place to study.D. They are discussing their favorite subjects.Answer: BExplanation: In the conversation, the students mention that they are both going to the library to study together, which indicates they are planning to study together in the library.4.You hear a dialogue between a teacher and a student about the student’s performance in a recent test.A. The student is worried about his low score in the test.B. The teacher is impressed with the student’s improvement.C. The teacher is suggesting the student to work harder.D. The student is confident about his performance in the test.Answer: AExplanation: The teacher’s tone and comments suggest concern for the student’s performance, and the student expresses worry about his low score in the test, indicating that the student is worried about his low score.5、What time does the library close on Saturdays?A. At 4:30 p.m.B. At 5:00 p.m.C. At 5:30 p.m.Answer: C. At 5:30 p.m.Explanation: In the dialogue, the librarian mentioned that on Saturdays the closing time is half an hour later than on weekdays, which means it closes at 5:30 p.m. rather than the usual weekday closing time of 5:00 p.m.二、听力第二节(本大题有15小题,每小题1.5分,共22.5分)1、Question: What does the man say about his vacation plans?A) He plans to go to Paris for the summer.B) He’s going to take a short trip during the winter break.C) He will spend his vacation in the countryside.Answer: CExplanation: In the conversation, the man mentions, “I’m thinking of spending my vacation in the countryside, maybe by the lake,” which indicates that he plans to spend his vacation in the countryside.2、Question: Why is the woman hesitant to accept the invitation?A) She is already planning a trip with her friends.B) She doesn’t have enough time to prepare for the trip.C) She is worried about the weather forecast for the weekend.Answer: BExplanation: The wo man says, “I was actually planning to go away with some friends this weekend, so I might not be able to make it,” which implies that she is hesitant to accept the invitation because she is already planning a trip with her friends.3、Questions 3 to 5 are based on the passage you have just heard.3、What is the main topic of the passage?A. The history of the InternetB. The impact of social media on communicationC. The development of smartphonesD. The role of technology in educationAnswer: BExplanation: The passage discussed how social media has changed the way people communicate and interact with one another, making option B the correct choice.4、According to the passage, what has been one of the effects of social mediaon society?A. It has made people less social in real life.B. It has increased the speed at which news travels.C. It has decreased the amount of information available.D. It has reduced the quality of education.Answer: BExplanation: The passage mentioned that one effect of social media is that it allows news and information to spread much faster than before, thus the correct answer is B.5.W: Excuse me, do you know where I can find the nearest post office around here?M: Oh, it’s not too far from here. Just walk straight down this street, and you’ll see it on your left after about two blocks.Question: What is the woman looking for?A. A restaurantB. A post officeC. A hotelD. A bookstoreAnswer: BExplanation: The woman is asking where the nearest post office is, which is indicated by the man’s response.6.M: I heard you’re planning a trip to Japan next summer. Are you excited?W: Absolutely! I’ve always wanted to visit Japan. I’m particularly inter ested in their traditional culture and cuisine.Question: What is the woman looking forward to?A. Visiting a restaurantB. Learning about Japanese cultureC. Traveling to a beachD. Shopping for souvenirsAnswer: BExplanation: The woman expresses her excitement about visiting Japan and mentions her interest in their traditional culture, which aligns with optionB.7、You will hear a conversation between two students discussing their weekend plans. Listen and answer the following question.Question: What activity do both students agree to do together?A. Go shoppingB. Watch a movieC. Visit a museumD. Go for a hikeAnswer: B. Watch a movieExplanation: In the conversation, the students mention that they both have free time on Saturday and agree to watch a movie together, which is why the answer is B.8、You will hear a short lecture about the importance of exercise. Listen and answer the following question.Question: According to the lecture, which of the following is a benefit of regular exercise?A. Improved concentrationB. Increased stress levelsC. Decreased immune system functionD. Higher risk of injuryAnswer: A. Improved concentrationExplanation: The lecture emphasizes that regular exercise can lead to better concentration and cognitive function, making A the correct answer. The other options are incorrect because they are not benefits mentioned in the lecture.9.W: I’m sorry, but I can’t find my wallet. Do you have any idea where it might be?M: Why don’t you check your backpack? Sometimes people pu t their wallets there without realizing it.Q: Where does the man suggest the woman look for her wallet?A: In her backpack.B: In her pocket.C: At the front desk.D: At the lost and found.Answer: AExplanation: The man suggests that the woman check her backpack, implying that her wallet might be there.10.W: Have you heard about the new restaurant that opened up on Main Street?I heard it serves the best Italian food in town.M: Yes, I’ve heard good things about it too. I’m actually planning to go there for dinner tonight. Would you like to join me?Q: What does the man plan to do tonight?A: Go to the movies.B: Have dinner at the new Italian restaurant.C: Go to the gym.D: Attend a concert.Answer: BExplanation: The man mentions that he is planning to go to the new Italian restaurant for dinner, indicating his intention.11.You will hear a conversation between two students, discussing their weekend plans. Listen carefully and choose the best answer to each question.A)They are planning to go hiking.B)They are planning to go to a movie.C)They are planning to go shopping.D)They are planning to go to a concert.Answer: BExplanation: The conversation mentions that they are both free on Saturday and they are thinking of going to a movie together.11.Q: What are the speakers planning to do this weekend?A: Go hiking.B: Go to a movie.C: Go shopping.D: Go to a concert.12.You will hear a conversation between a student and a teacher, discussing an upcoming assignment. Listen carefully and choose the best answer to each question.A)The assignment is due in two weeks.B)The assignment is due in one week.C)The assignment is due in three weeks.D)The assignment is due in four weeks.Answer: BExplanation: The teacher says, “You have one week to complete the assignment, so make sure to start working on it as soon as possible.”12.Q: When is the assignment due?A: In two weeks.B: In one week.C: In three weeks.D: In four weeks.解析:根据老师的话,作业在一周内提交,所以答案是B。
2024年宁夏语文初一上学期期中复习试卷(答案在后面)一、积累与运用(本大题有7小题,每小题3分,共21分)1、下列词语中加点字的读音完全正确的一项是:A. 憧憬(chōng jǐng)B. 沉淀(diàn)C. 静谧(bì)D. 贮藏(zhùcáng)2、下列句子中没有错别字的一项是:A. 他勤奋好学,成绩一直很优秀。
B. 昨天晚上的作业我已近完成了。
C. 这本书对我启发很大,让我受益非浅。
D. 妈妈正在厨房里忙碌着准备晚餐。
3、下列词语中,字形和字音都完全正确的一项是:A. 潇洒(xiāo sǎ)鸿鹄之志(hóng hú zhī zhì)瞻前顾后(zhān qián gù h òu)B. 雕梁画栋(diāo liáng huà dòng)鹿死谁手(lùsǐ shéi shǒu)鸿毛微利(hóng máo wēi lì)C. 碧血丹心(bìxuè dān xīn)玉树临风(yùshù lín fēng)满园春色(mǎn yuán chūn sè)D. 走马观花(zǒu mǎ guān huā)奇货可居(qíhuò kě jū)指鹿为马(zhǐ lù wéi mǎ)4、阅读下面的诗句,回答问题。
“海内存知己,天涯若比邻。
”(王勃《送杜少府之任蜀州》)(1)请解释诗句中“海内存知己,天涯若比邻”这句话的意思。
5、下列加点字注音全部正确的一项是:A. 沉默(mò)风和日丽(rì)沧桑(cāng)B. 领略(lǐng)碧螺春(luó)雕梁画栋(diāo)C. 拔苗助长(bá)妙不可言(miào)龙飞凤舞(fèng)D. 暴殄天物(tiǎn)畸形(jī)碧血染红了江山(zhěng)6、下列句子中,没有语病的一项是:A. 这篇文章生动地描绘了我国大好河山的美丽景色,让人感受到了祖国河山的壮美。
2024-2025学年七年级第一学期期中考试(1)一、选择题1.《夏阳候算经》说:“满六以上,五在上方.六不积算,五不单张.”意思就是说,在用算筹计数时,15~分别以纵横方式排列相应数目的算筹来表示,69~则以上面的算筹再加下面相应的算筹来表示.我国是世界上最早使用负数的国家,在《九章算术》中,记载了我国古代在算筹上面斜着放一支算筹表示负数的方法.如:“”表示238+,则“”表示238-.那么,“”表示的数是()A .136-B .136+C .132-D .132+2.如图是2024年我市某天的天气预报截图,依据图中数据可得当天温差是()A .7C ︒B .7C-︒C .18C ︒D .4C︒3.下列计算结果为负数的是()A .3(2)--B .4(2)--C .()()12---D .28(3)÷-4.张老师用长10a 的铁丝做了一个长方形教具,其中一边长为b a -,则另一边的长为()A .11a b-B .4a b-C .122-a bD .6a b-5.如图,数轴上点A 、B 、C 分別表示数a 、b 、c ,有下列结论:0a b +>,0abc <,0a c -<,a b <,则其中正确结论的个数是().A .1个B .2个C .3个D .4个6.下列说法:①23xy -的系数是2-;②1π不是单项式;③1132x y -是多项式;④225mn 次数是3次;⑤3221x x --的次数是5次;⑥23ab 与29b a 是同类项.正确的有()A .2个B .3个C .4个D .5个7.借助符号,数学语言变得简洁明了.例如可用代数式23225227d c a b -+来表示“⊥二三二二五二二七丅丁丙甲乙”(题目选自1905年清朝学堂课本).观察其中的规律,将“⊥二二二六二三丅四乙甲乙”化简后得()A .222a b -+B .222a b +C .2223a b -+D .2223a b +二、填空题8.若数轴上表示数a 的点在原点的左边,且3a =,则a 的值为.9.若122m x y +与323n x y -是同类项,则m n +的值为10.若1=a ,2b =,且a b <,则ab =.11.请你写出一个单项式,同时满足下列条件:①含有字母x 、y ;②系数是3-;③次数是5,则写出的单项式为(写一个即可).12.已知23a b -=,25b c -=-,则多项式223a b c +-的值为.13.定义:任意两个数a 、b ,按规则c a b ab =+-扩充得到一个新数c ,称所得的新数c 为“鸿蒙数”,若2a =,21b x =+,并比较b ,c 的大小,bc .三、解答题21.(本题12分)计算:(1)110.53 2.75742⎛⎫⎛⎫---+-+ ⎪ ⎪⎝⎭⎝⎭;(2)()153303610⎛⎫-⨯--⎪⎝⎭;(3)()2215140.3140.33737-⨯+⨯+⨯-+⨯;(4)()()241110.5233⎡⎤---⨯---⎣⎦.22.(本题8分)化简:(1)94352a a b a b -+--;(2)()()225377547a ab ab a ---++.23.(本题10分)化简求值:(1)222291244129a ab b a ab b -+-+-,其中11,22a b ==-;(2)()()22222231x x y xy x y ⎡⎤+---⎣⎦,其中,x y 满足()21202x y ++-=.24.(本题10分)随着手机的普及,微信(一种聊天软件)的兴起,许多人抓住这种机会,做起了“微商”,很多农产品也改变了原来的销售模式,实行了网上销售,这不刚大学毕业的小明把自家的冬枣产品也放到了网上包邮销售,他原计划每天卖100斤冬枣,但由于种种原因,实际每天的销售量与计划量相比有出入,下表是某周的销售情况(超额记为正,不足记为负.单位:斤);星期一二三四五六日与计划量的差值4+3-5-14+8-21+6-(1)根据记录的数据可知前三天共卖出__________斤;(2)根据记录的数据可知销售量最多的一天比销售量最少的一天多销售斤;(3)本周实际销售总量达到了计划数量没有?(4)若冬枣每斤按8元出售,每斤冬枣的运费平均3元,那么小明本周一共收入多少元?(5)小明想知道销售量的变化情况,请你用表格表示出来:星期一二三四五六日销售量变化(与前一天比)25.(本题10分)按照“双减”政策,丰富课后托管服务内容,学校准备订购一批篮球和跳绳,经过市场调查后发现篮球每个定价120元,跳绳每条定价20元.某体育用品商店提供A 、B 两种优惠方案:A 方案:买一个篮球送一条跳绳;B 方案:篮球和跳绳都按定价的90%付款.已知要购买篮球50个,跳绳x 条(50x >).(1)若按A 方案购买,一共需付款元;(用含x 的代数式表示),若按B 方案购买,一共需付款元;(用含x 的代数式表示)(2)当150x =时,请通过计算说明此时用哪种方案购买较为合算?(3)当150x =时,你能给出一种更为省钱的购买方案吗?请写出你的购买方案,并计算需付款多少元?26.(本题8分)对于任意的非零有理数a ,b ,定义:1ba b a*=-,解决以下问题:(1)计算()34-*;(2)计算()()623-**-;(3)请你举例验证一下交换律即a b b a *=*在这一运算中是否成立.(举一个例子即可).27.(本题10分)对于任意两个数a ,b 的大小比较,有下面的方法:当0a b ->时,一定有a b >;当0a b -=时,一定有a b =;当0a b -<时,一定有a b <.我们把这种比较两个数大小的方法叫做“作差法”.(1)分别求出图1中长方形的周长M 和图2中长方形的周长N ;(2)在(1)的条件下,若b c >,用“作差法”比较M N 、的大小.28.(本题12分)对于有理数a ,b ,n ,d ,若a n b n d -+-=,则称a 和b 关于n 的“相对关系值”为d ,例如,21313-+-=,则2和3关于1的“相对关系值”为3.(1)4-和6关于2的“相对关系值”为;(2)若a 和3关于1的“相对关系值”为7,求a 的值;(3)若0a 和1a 关于1的“相对关系值”为1,1a 和2a 关于2的“相对关系值”为1,2a 和3a 关于3的“相对关系值”为1,…,30a 和31a 关于31的“相对关系值”为1.①01a a +的最大值为;。
上海小学语文四年级期中试卷复习试卷全套姓名:__________ 班级:__________ 学号:__________ 一、基础知识(每题2分,共40分) (共10题)1.看拼音,写词语。
lǒng zhào bó wùfèi téng héng guàn jiāng miàn màn tiān juǎn dìshù shāo jìng jìbái máng máng ruò yǐn ruò xiàn fēng píng làng jìngguī lǜfèng xìzhào yào càn làn jūn yún chóng diékòng xìyǐn bìhén jìshì hòu gōng diàn pán xuán zhù zhái yǐn cáng2.给下列加点字选择正确的读音,打“√”。
闷雷(mēn mèn)薄雾(báo bó)风号浪吼(háo hào)涨潮(zhǎng zhàng)反差(chā chà)不可计数(shǔ shù)应接不暇(yìng yīng)一模一样(mú mó)枝折花落(zhé shé)3.比一比,再组词。
潮()嘲()沸()佛()贯()惯()梢()稍()恢()灰()律()津()缝()逢()耀()曜()占()站()铺()脯()4.查字典填空。
字音试卷一、单选题1.(2024七上·郧阳其中)下列词语中字的读音完全正确的一项是()A.酝酿(niàng)黄晕(yùn)棱镜(líng)咄咄逼人(duō)B.贮蓄(zhù)静谧(mì)吝啬(lìn)淅淅沥沥(xī)C.粗犷(kuàng)澄清(chéng)莅临(lì)翻来覆去(fù)D.着落(zhuó)干涩(sè)高邈(miǎo)人迹罕至(hǎn)2.(2023七上·成华其中)下面加点字注音有误的一项是()A.静谧(mì)称职(chèn)水波粼粼(nín)B.羞怯(qiè)贮蓄(zhù)咄咄逼人(duō)C.气概(gài)坍塌(tān)花团锦簇(cù)D.怂恿(sǒng)缥缈(miǎo)随声附和(hè)3.(2023七上·游仙其中)下列词语中加点字的字音完全正确的一项是()A.翘首(qiáo)脸颊(xiá)发窘(jiǒnɡ)嗔(chēn)视B.畸形(qí)籍贯(jí)绽放(zhàn)鄙薄(bó)C.怠慢(dài)蓦地(mò)造孽(liè)磕绊(bàn)D.蓬蒿(hāo)无垠(yín)擅自(shàn)鹰隼(sǔn)4.(2023七上·成都其中)下列加点字注音有误的一项是()A.酝酿(niàng)贮蓄(zhù)咄咄逼人(duō)B.祷告(dǎo)搓捻(niǎn)怪诞不经(dàn)C.狭隘(ài)干涸(gù)拈轻怕重(niān)D.坍塌(tān)怂恿(sǒng)骇人听闻(hài)5.(2023七上·武侯其中)下面加点字注音有误的一项是()A.嘹亮(liáo)地毯(tǎn)随声附和(hè)B.爱慕(mù)哺乳(fǔ)美不胜收(shèng)C.气概(gài)庇护(bì)咄咄逼人(duō)D.搓捻(niǎn)晕眩(xuàn)惊慌失措(cuò)6.(2023七上·天元其中)下列字音、字形全都正确的一项是()A.烂漫(nàn) 庇护(bì) 呼啸力不瑕供B.称职(chèn) 晕(yūn)眩贮蓄漠不关心C.惩戒(chéng) 絮叨(tāo) 祷告翻来复去D.棱(líng)镜倜傥(tì) 云宵骇人听闻7.(2023七上·新宁其中)下列词语中,字音字形完全正确的一项是()A.晕炫(xuàn) 废墟(xū) 发髻(jì) 柳絮(xù)B.竦峙(sǒng) 干涸(hé) 应和(hé) 笃志(dǔ)C.酝酿(rǎng) 看护(kàn) 镶嵌(xiāng) 踉跄(qiàng)D.憔悴(cuì) 鄙薄(bǐ) 积攒(zǎn) 坍塌(tān)二、积累与运用(2023七上·樟木头其中)青少年最有朝气,最富梦想,未来有无限可能,让我们高扬奋斗风帆,焕发昂扬斗志,励志向未来。
2024-2025学年山东省德州市数学小学三年级上学期期中复习试卷(答案在后面)一、选择题(本大题有6小题,每小题2分,共12分)1、小明的书架上原来有8本书,他借给小红3本书后,书架上还剩多少本书?A、5本B、6本C、7本D、8本2、一个长方形的长是12厘米,宽是5厘米,这个长方形的周长是多少厘米?A、17厘米B、20厘米C、27厘米D、32厘米3、小明有5个苹果,妈妈又给他买了3个苹果,小明现在有多少个苹果?A. 8个B. 10个C. 12个4、小红有8个铅笔,她的同桌给了她2个铅笔,小红现在有多少个铅笔?A. 10个B. 6个C. 5个5、小明有25个苹果,他每天吃掉3个苹果,吃了5天后,小明还剩下多少个苹果?选项:A. 15个B. 20个C. 10个D. 5个6、小华有一些邮票,他给了小丽10张,又给了小芳5张,最后小华还剩下8张邮票。
小华原来有多少张邮票?选项:A. 23张B. 18张C. 13张D. 8张二、填空题(本大题有6小题,每小题4分,共24分)1、小明的书桌上原来有12本书,他借给同学5本,现在他书桌上还剩______ 本书。
2、一个长方形的长是8厘米,宽是5厘米,它的周长是 ______ 厘米。
3、一个长方形的长是10厘米,宽是5厘米,这个长方形的周长是 ______ 厘米。
4、小明有苹果20个,橘子和苹果的总数是35个,小明有多少个橘子?5、计算。
(1)27×3=________(2)240÷8=________(3)560÷7=________(4)120×5=________6、一个数的5倍是100,这个数是 ________ 。
三、计算题(本大题有5小题,每小题4分,共20分)1、小明有24个苹果,他给了小红8个,请问他还剩多少个苹果?2、一辆公交车上有35人,在第一站下去了9人,然后又上来了12人,请问现在车上有多少人?3、(1)357 + 426 =4、(1)768 × 3 =5、计算。
2024-2025学年云南省昆明市数学小学三年级上学期期中复习试卷(答案在后面)一、选择题(本大题有6小题,每小题2分,共12分)1、小明的书架上原来有15本书,他借给同学5本,现在还剩下多少本书?A. 10本B. 20本C. 5本D. 0本2、一个长方形的长是8厘米,宽是3厘米,这个长方形的周长是多少厘米?A. 11厘米B. 16厘米C. 20厘米D. 24厘米3、小明的爸爸今年35岁,小明的妈妈比爸爸小5岁。
那么,小明的妈妈今年()岁。
A、30岁B、34岁C、30岁D、31岁4、小华有15个苹果,小明有苹果是小华的3倍。
那么,小明有多少个苹果?()A、30个B、45个C、15个D、18个5、下列哪个数是质数?A. 14B. 17C. 20D. 256、小明把一些苹果分成每盒5个,最后剩下2个苹果。
如果小明有12盒苹果,那么小明一共有多少个苹果?A. 60B. 62C. 65D. 68二、填空题(本大题有6小题,每小题4分,共24分)1、小明有20个苹果,他吃掉了其中的3个,剩下的苹果个数是______ 。
2、一个长方形的长是8厘米,宽是4厘米,这个长方形的周长是 ______ 厘米。
3、一个长方形的长是12厘米,宽是5厘米,这个长方形的周长是 ________ 厘米。
4、小华有15个苹果,小明给了小华3个苹果后,小华现在有多少个苹果?5、一个三位数,百位数字是3,十位数字是比百位数字小2的数,个位数字是比十位数字大1的数,这个三位数是 ______ 。
6、小明的储蓄罐里有20个硬币,其中1角的硬币比2角的硬币多8个。
问2角的硬币有多少个?三、计算题(本大题有5小题,每小题4分,共20分)1、(1)234 + 567 =_______(2)456 - 234 =_______(3)345 × 2 =_______(4)567 ÷ 3 =_______2、(1)789 + 321 =_______(2)432 - 189 =_______(3)567 × 3 =_______(4)789 ÷ 3 =_______3、小明在做加法练习时遇到了一道题目:157 + 268,请计算出正确答案。
期中复习试卷 Last revision date: 13 December 2020.
期中复习试卷()
1.下列函数中,反比例函数是( )
A 、y=x+1?
B 、y=
C 、 =1
D 、3xy=2
2.两条宽度均为40 m 的公路相交成α角,那么这两条公路在相交处的公共部分(图中阴影部分)
的路面面积是( )A.αsin 1600(m 2) B.αcos 1600(m 2) α(m 2) α(m 2) 3.函数 与 在同一平面直角坐标系中的图像可能是( )。
? ?
4.当三角形的面积一定时,三角形的底和底边上的高成( )关系。
A 、正比例函数
B 、反比例函数
C 、一次函数
D 、二次函数
5.若点A(x 1,1)、B(x 2,2)、C(x 3,-3)在双曲线上 ,则( )
A 、x 1>x 2>x 3
B 、x 1>x 3>x 2
C 、x 3>x 2>x 1
D 、x 3>x 1>x 2 6.三角形在正方形网格纸中的位置如图所示,则sinα的值是( )
A.43
B.34
C.53
D.5
4 7.在△ABC 中,∠C=90°,AB=15,sinA=3
1,则BC=( ) B.5 C.51 D.45
1 8、已知双曲线 上有一点P(m,n)且m 、n 是关于t 的一元二次方程t 2-3t+k=0的两根,且P 点到原点的距离为,则双曲线的表达式为( )
A 、
B 、
C 、
D 、
9、如图2,正比例函数y=x 与反比例y= 的图象相交于A 、C 两点,AB ⊥x 轴于B ,CD ⊥x 轴于D ,则四边形ABCD 的面积为( )
A 、1
B 、
C 、2?
D 、
10、如图3,已知点A 是一次函数y =x 的图象与反比例函数 的图象在第一象限内的交点,点B 在x 轴的负半轴上,且OA =OB ,那么△AOB 的面积为
A 、2
B 、
C 、
D 、
11.已知y 与(2x+1)成反比例且当x=0时,y=2,那么当x=-1时,y=________。
12.已知α为锐角, sin(α-090)=, 则cos α=___ 。
13.如图,一架梯子斜靠在墙上,若梯子底端到墙的距离AC=3米,cos ∠BAC=
4
3,则梯子长AB = 米。
14.如果反比例函数 的图象经过点(3,1),那么k=_______。
15.已知α是锐角,且cosα=54,则sinα= ;已知α是锐角,且sinα=54,则cos(90°-
α)= ; 16.设反比例函数 的图象经过点(x 1,y 1)和(x 2,y 2)且有y 1>y 2,则k 的取值范围是______。
17.函数 与y=-2x 的图象的交点的坐标是____________。
18.如果点(m,-2m)在双曲线 上,那么双曲线在_________象限。
19.反比例函数 , 当x >0时,y 随x 的增大而增大,则m 的值是 。
20.(1)2-1-tan60°+(5-1)0+|3|; (2)
21.如图,张华同学在学校某建筑物的C 点处测得旗杆顶部A 点的仰角为30,旗杆底部
B 点的俯角为45.若旗杆底部B 点到建筑物的水平距离BE=9 米,旗杆台阶高1米,
则旗杆顶点A 离地面的高度为多少米(结果保留根号)。
?
22. 与反比例函数3y x
= 的图象都过A(,1)点.求: (1)正比例函数的解析式
(2)正比例函数与反比例函数的另一个交点的坐标.
23.如图 7,已知一次函数1y x m =+(m 为常数)的图象与反比例函数 2k y x
=(k 为常数,0k ≠)
的图象相交于点 A (1,3). (1)求这两个函数的解析式及其图象的另一交点B 的坐标;
(2)观察图象,写出使函数值12y y ≥的自变量x 的取值范围.
24.梯形ABCD 是拦水坝的横断面图,(图中1:3i =是指坡面的铅直高度DE 与水平宽度CE
的比),∠B=60°,AB=6,AD=4,求拦水坝的横断面ABCD 的面积。
(结果保留三位有效 数字,参考数据:3 1.732=,2 1.414=)
y x B 1- 1- 1 2 3 3 1 2
A (1,3)
A D
1:3i =
01
2(2cos 45sin 90)(44tan 60)(21)-°-°+-°+
25.如图,在平面直角坐标系中,直线AB与Y轴和X轴分别交于点A、点8,与反比例函数y一罟在第一象限的图象交于点c(1,6)、点D(3,x).过点C作CE上y轴于E,过点D作DF上X轴于F.
(1)求m,n的值;
(2)求直线AB的函数解析式;
(3)求证:△AEC∽△DFB.
26.如图,在某建筑物AC上,挂着“美丽家园”的宣传条幅BC,小明站在点F处,看条幅顶端B,测的仰角为0
30,再往条幅方向前行20米到达点E处,看到条幅顶端B,测的仰角为0
60,求宣传条幅BC的长,(小明的身高不计,结果精确到0.1米)
27.已知反比例函数y=的图象经过点A(4, ),若一次函数y=x+1的图象沿x轴平移后经过该反比例函数图象上的点B(2,m),求平移后的一次函数图象与x轴的交点坐标
?
已知反比例函数y= 和一次函数y=2x-1,其中一次函数的图象经过(a,b),(a+k,b+k+2)两点。
(1)求反比例函数的解析式
(2)已知A在第一象限,是两个函数的交点,求A点坐标
(3)利用②的结果,请问:在x轴上是否存在点P,使△AOP为等腰三角形
?。