海口美舍16届21周周考
2024-2025学年海南省海口市美兰区重点名校第二学期初三年级期中考试英语试题试卷含答案
2024-2025学年海南省海口市美兰区重点名校第二学期初三年级期中考试英语试题试卷注意事项：1．答题前，考生先将自己的姓名、准考证号填写清楚，将条形码准确粘贴在考生信息条形码粘贴区。
2．选择题必须使用2B铅笔填涂；非选择题必须使用0．5毫米黑色字迹的签字笔书写，字体工整、笔迹清楚。
3．请按照题号顺序在各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试题卷上答题无效。
4．保持卡面清洁，不要折叠，不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。
Ⅰ. 单项选择1、The UN colorful activities on April 20 to celebrate Chinese Language Day.A．held B．missed C．kept2、Mr. Green is very strict with his children, and he ______ allows them to watch TV on school days.A．always B．usually C．sometimes D．never3、The summer holiday is coming , We`re going to have______ holiday.A．a two-month B．a two-months C．two months D．two-months4、You’d better _______ too much meat. You are much too fat.A．not eat B．eat otherC．not to eat D．don’t eat5、—Excuse me, where is the nearest bookstore around here?—Just go along Center Street and turn left. Xinhua bookstore is ______ your right.A．in B．on C．at D．to6、She usually has ________ egg and some porridge for ________ breakfast.A．an; the B．an; \ C．a; the D．a; \7、The mobile phone has infl uenced people’s life a lot since it _________.A．invents B．inventedC．is invented D．was invented8、— Why do you like living in the countryside?一Because there's noise and fewer cars there.A．less B．little C．fewer D．few9、The terrible earthquake happened ________ 13: 46 ________ the afternoon of March 11th.A．on; in B．at: on C．at; in D．on; on10、I like watching table tennis matches and favourite player is Fan Zhendong.A．my B．your C．his D．herⅡ. 完形填空11、完形填空（10小题，每小题1分，共10分）先通读短文，掌握其大意，然后从A、B、C、D四个选项中选出一个可以填入相应空白处的最佳答案，并将其标号填入答题卡相应位置。
海口美舍学校2014-2015第一学期七年级生物月考试卷
海口美舍学校2015—2016学年度第一学期七年级生物12月份月考试卷一、选择题：（每小题2分，共40分，请把最佳答案字母填入相应的表格中）一、选择题(共20个小题,每小题2分,共40分)1.北宋欧阳修的诗句中“西湖春色归，春水绿如染”，以及唐朝刘禹锡的诗句中“苔痕上阶绿，草色入帘青”分别描述了两类植物大量繁殖后的自然景观，它们分别是：（）A、藻类植物和苔藓植物B、藻类植物和蕨类植物C、苔藓植物和蕨类植物D、苔藓植物和藻类植物2.藻类植物是低等植物,其主要原因是( )A.没有根、茎、叶的分化B.可进行光合作用C.多数个体微小D.生活在水里3.大多数蕨类植物的茎生长在地下,有不定根,进行孢子生殖。
下列属于蕨类植物的是( )A.水绵B.贯众C.马尾松D.桃4.下列四种植物中,具有根、茎、叶,但不能产生种子的是( )5.大豆种子与玉米种子的结构比较，大豆种子中没有( )A.种皮B.胚芽C.胚根D.胚乳6.下列关于植物类群的叙述,正确的是( )A.银杏、苏铁和雪松是裸子植物,其种子外面均没有果皮包被B.海带和紫菜都是藻类植物,它们依靠其根固着在浅海岩石上C.卷柏的根、茎、叶内有输导组织,所以适应陆地生活的能力较强D.油菜和石花菜都是利用种子进行繁殖,这是它们更适于陆地生活的原因7.小影很喜欢吃奶奶家的板栗、甜玉米、蕨菜和银杏，她想把这些植物带回家去种。
她不可能得到哪种植物的种子( )A.板栗B.甜玉米C.蕨菜D.银杏8.大豆是五谷之一,其营养成分主要贮存在种子的( )A.胚芽B.胚轴C.子叶D.胚根9.在玉米种子的纵切面上滴加碘液后,在在纵切面上遇到碘液会变蓝色的结构是:A、胚乳B、子叶C、胚芽D、胚10.将种子植物分为裸子植物和被子植物的分类依据是( )A.生活的环境B.植株的高矮C.人类对其的利用D.种子外有无果皮11.在具有适量的水分、充足的空气和适宜的温度等环境条件下播种,种子会萌发的自身条件是( )①胚有活性②胚是完整的③充足阳光④肥沃的土壤A.①②B.③④C.②③D.①④12．北方常在早春播种后进行地膜覆盖，这是为了( )A．增加空气 B．增加光照 C．提高温度 D．防止被虫蛀13.我们吃的绿豆芽主要是由什么发育而来的( )A.胚芽B.胚轴C.胚根D.子叶14．某生物学习小组探究阳光对大豆发芽的影响，在甲乙丙丁四个盆中分别种了A、甲和乙B、乙和丙C、丙和丁D、甲和丁15.幼根中生长最快的部位是( )A.根尖B.根毛C.根冠D.发育早的部位16.在根尖的结构中,生长最快的部位和吸收水分的主要部位分别是( )A.伸长区和成熟区B.分生区和成熟区C.分生区和伸长区D.成熟区和伸长区17.叶芽的结构中,能够发育成茎的是( )A.芽轴B.幼叶C.芽原基D.生长点18.我国东北黑土地上种植的马铃薯块大、质优、淀粉含量高,这说明黑土地中含有充足的( )A.含氮的无机盐B.含磷的无机盐C.含钾的无机盐D.含铁的无机盐19.“有收无收在于水，多收少收在于肥”。
海南省海口市2016-2017学年度九年级上英语期中试卷(有答案)(精选)
海南省海口市大华中学2016—2017学年度九年级第一学期英语期中测试班别：姓名：分数：(满分120分, 时间90分钟) 第一部分听力（20分）Ⅰ.听句子，选择正确图片。
每个句子读一遍。
（5分）1._____2._____3._____4._____5._____Ⅱ.听对话，选择正确答案。
每段对话读两遍。
（5分）( )6.Which country will have the largest population by 2040?A.China.B.India.C.America.( )7.What is the TV program about?A.A film.B.How to help poor college students.C.How to protect the environment.( )8. What are they taling about?A.Soil pollution.B.Noise pollution.C.Air pollution.( )9.How to mae our city greener?A.Plant more trees .B.Don’t throw rubbish here and there.C.Not spit in public.( )10.Jane has been to _____.A.a children’s schoolB.children’s homeC.a disabled children’s homeⅢ.听对话，选择正确答案。
对话读两遍。
（5分）( )11.Who is this phone call for?A.Fred.B.Alice.C.Mum.( )12.What’s the weather lie today?A.Cloudy.B.Sunny.C.Windy.( )13.Where are they going?A.To the school.B.To the beach.C.To the farm.( )14.What are they going there for?A.Visiting the farm.B.Taing a wal.C.Having a picnic.( )15.When will they start tomorrow?A.At 6 30.B.At 6 45.C.At 7 15.Ⅳ.听短文，选择正确答案。
2016年海南省乔国修数学中考题
海南省2016年初中毕业生学水平考试数学科试题（考试时间100分钟，满分120分）一、选择题（本大题满分42分，每小题3分）在下列各题的四个备选答案中，有且只有一个是正确的，请在答题卡上把你认为正确的答案的字母代号按．要．求．用2B 铅笔涂黑．1．（2016海南省，1，3分）2016 的相反数是（）A．2016 B．－2016 C．12016D．－12016【答案】B2. （2016海南省，2，3分）若代数式x＋2 的值为 1，则x 等于（）A．1 B．－1 C．3 D．－3【答案】B3. （2016海南省，3，3分）如图 1 是由四个相同的小正方体组成的几何体，则它的主视图为（）A B C D 图 1【答案】A4. （2016海南省，4，3分）某班 7 名女生的体重(单位：kg)分别是 35、37、38、40、42、42、74，这组数据的众数是（）A．74 B．44 C．42 D．40【答案】C5. （2016海南省，5，3分）下列计算中，正确的是（）A．(a3)4= a12B．a3·a5= a15C．a2＋a2= a4D．a6÷a2= a3【答案】A6. （2016海南省，6，3分）省政府提出 2016 年要实现 180000 农村贫困人口脱贫，数据180000 用科学记数法表示为（）A．1.8× 103 B．1.8× 104C．1.8× 105D．1.8× 106数学科试题第 1页（共 12页）【答案】C7. （2016海南省，7，3分）解分式方程11x+1=0，正确的结果是（）A．x=0 B．x=1 C．x=2 D．无解【答案】A8. （2016海南省，8，3分）面积为 2 的正方形的边长在（）A．0 和 1 之间B．1 和 2 之间 C．2 和 3 之间D．3 和 4 之间【答案】B9. （2016海南省，9，3分）某村耕地总面积为 50 公顷，且该村人均耕地面积y（单位：公顷/人）与总人口x（单位：人）的函数图象如图 2 所示，则下列说法正确的是（）A．该村人均耕地面积随总人口的增多而增多B．该村人均耕地面积y 与总人口x 成正比例C．若该村人均耕地面积为 2 公顷，则总人口有 100 人D．当该村总人口为 50 人时，人均耕地面积为 1 公顷【答案】D10. （2016海南省，10，3分）在平面直角坐标系中，将△AOB 绕原点O 顺时针旋转 180°后得到△A1OB1，若点B 的坐标为（2，1），则点B 的对应点B1 的坐标为（）A．（1，2） B．（2，－1）C．（－2，1） D．（－2，－1）【答案】D11. （2016海南省，11，3分）三张外观相同的卡片分别标有数字 1、2、3，从中随机一次抽出两张，这两张卡片上的数字恰好都小于 3 的概率是（）A．13B．23C．16D．19【答案】A数学科试题第 2页（共 12页）12. （2016海南省，12，3分）如图 3，AB 是⊙O 的直径，直线P A 与⊙O 相切于点A，PO 交⊙O 于点C，连接BC，若∠P=40° , 则∠ABC 的度数为（）A．20° B．25° C．40° D．50°【答案】B13. （2016海南省，13，3分）如图4，矩形ABCD 的顶点A、C 分别在直线a、b上，且a∥b，∠ 1=60°，则∠ 2 的度数为（）A．30° B．45° C．60° D．75°【答案】C14. （2016海南省，14，3分）如图 5，AD 是△ABC 的中线，∠ADC=45°，把△ADC 沿着直线AD 对折，点C 落在点E 的位置，如果BC=6，那么线段BE 的长度为（）【答案】D二、填空题（本大题满分16分，每小题4分）15. （2016海南省，15，4分）因式分解：ax－a y =_________________．【答案】()a x y16. （2016海南省，16，4分）某企业去年的年产值为a 万元，今年比去年增长 10%，则今年的年产值是________万元．数学科试题第 3页（共 12页）【答案】11.a17. （2016海南省，17，4分）如图 6，AB 是⊙O 的直径，AC、BC 是⊙O 的弦，直径DE⊥AC于点P，若点D 在优弧ABC上，AB=8，BC =3，则DP=_________．【答案】5.518. （2016海南省，18，4分）如图 7，四边形ABCD 是轴对称图形，且直线AC 是对称轴，AB∥CD，则下列结论：①AC⊥BD；②AD∥B C；③四边形ABCD 是菱形；④△ABD≌△CDB．其中正确的是_________________ (只填写序号)．【答案】①②③④三、解答题（本大题满分62分）19. （2016海南省，19，10分）（1）计算：6÷ (－3)＋4－8× 2－2；【答案】解：原式=－2＋2－8×14=－2＋2－2=－2．（2）解不等式组：12112xx-<⎧⎪⎨+≥⎪⎩【答案】解：解不等式组：12112①②xx⎧-<⎪⎨+⎪⎩…﹐﹒不等式①的解集为x＜3．不等式②的解集为x≥1．所以不等式组的解集为：1≤x＜3．20. （2016海南省，20，8分）世界读书日，某书店举办“书香”图书展．已知《汉语成语大词典》和《中华上下五千年》两本书的标价总和为150 元，《汉语成语大词典》按标价的50%出售，《中华上下五千年》按标价的 60%出售，小明花80 元买了这两本书，求这两本书的标价各多少元．数学科试题第 4页（共 12页）数学科试题 第 5页（共 12页）【答案】解：设《汉语成语大词曲》的标价是x 元，《中华上下五千年》的标价是y 元，依题意得：150506080%%x y x y ⎧+=⎪⎨+=⎪⎩﹐﹒解得10050x y ⎧=⎨=⎩﹐﹒答：汉语成语大词曲》的标价是100元，《中华上下五千年》的标价是50元．21. （2016海南省，21，8分）在太空种子种植体验实践活动中，为了解“宇番 2 号”番茄，某校科技小组随机调查 60 株番茄的挂果数量 x (单位:个)，并绘制如下不完整的统计图表：请结合图表中的信息解答下列问题： （1）统计表中，a = ，b = ； （2）将频数分布直方图补充完整；（3）若绘制“番茄挂果数量扇形统计图”，则挂果数量在“35≤ x ＜45”所对应扇形的圆心角度数为___________° ；（4）若所种植的“宇番 2 号”番茄有 1000 株，则可以估计挂果数量在“55≤ x ＜65”范围的番茄有____________株． 【答案】解：（1）15，0.3． （2）如图所示：121583 宇番2号“番茄挂果数量频数分布直方图（3）72．（4）300．22. （2016海南省，22，8分）如图 8，在大楼AB 的正前方有一斜坡CD，CD=4 米，坡角∠DCE=30°，小红在斜坡下的点C 处测得楼顶B 的仰角为60°，在斜坡上的点D 处测得楼顶B 的仰角为 45°，其中点A、C、E 在同一直线上．（1）求斜坡CD的高度DE；（2）求大楼AB的高度（结果保留根号）．【答案】解：（1）在Rt△DCE中，∠DCE=30°，∴sin∠DCE=DE CD．∴DE=CD·sin∠DCE．∴DE=4×12=2米．（2）延长BD交AE延长线点F．由题意知∠BDG=45°．∴∠F=∠BDG=45°．∵∠DEF=90°，∴∠EDF=∠F=45°．∴EF=DE=2米．设AC=x，则AB=AC·tan∠ACB，∴AB=x·tan60°．在Rt△DCE中，CE米．∴AF=EF+EC+CA=2++x．在Rt△ABF中，tan∠F=ABAF，即tan45°∴x=21)+=4+∴AB=6+∴大楼AB的高度为（6+数学科试题第 6页（共 12页）数学科试题 第 7页（共 12页）23. （2016海南省，23，14分）如图 9-1，在矩形 ABCD 中，BC ＞AB ，∠BAD 的平分线 AF 与 BD 、BC 分别交于点 E 、F ，点 O 是 BD 的中点，直线 OK ∥AF ，交 AD 于点 K ，交 BC 于点 G ．（1）求证：①△ DOK ≌ △BOG ；②AB ＋AK =BG ； （2）若 KD =KG ，BC = 24-①求 KD 的长度；②如图 9-2，点 P 是线段 KD 上的动点(不与点 D 、K 重合)，PM ∥DG 交 KG 于点M ，PN ∥KG 交 DG 于点 N ，设 PD =m ，当 S △PMN=42时，求 m 的值．【答案】解：（1）①∵四边形ABCD 是矩形， ∴AD ∥BC ．∴∠KDO =∠GBO ，∠DKO =∠BGO ． ∵点O 是BD 的中点， ∴DO =BO ．∴△DOK ≌△BOG （AAS ）． ②∵四边形ABCD 是矩形， ∴∠BAD =∠ABC =90°，AD ∥BC ． 又∵AF 平分∠BAD ，∴∠BAF =∠DAF =∠BF A =45°．CD FGAB45︒60︒数学科试题 第 8页（共 12页）∴AB =BF ．又OK ∥AF ，即GK ∥AF ， ∴四边形AFGK 是平行四边形． ∴AK =FG ． ∵BG =BF +FG ， ∴AB +AK =BG ．（2）①由（1）知四边形AFGK 是平行四边形， ∴AK =FG ，AF =KG ．若KD =KG ，则有AF=KG =KD =BG ． 设AB =a ，则AF =KG =KD =BG ． 则AK =4--，FG =BG －BF a -．∴4--a -．∴a ∴KD =2．②过点G 作GI ⊥KD 于点I ． 由（2）①知KD =AF =2． ∴GI =AB ∴S △DKG =12× ∵PD =m ， ∴PK =2m -． ∵PM ∥DG ，PN ∥KG ， ∴四边形PMGN 是平行四边形， △DKG ∽△PKM ∽△DPN. S △DPN =CKDEF A B O C数学科试题 第 9页（共 12页）∴ =2()2m ，S △DPN =2()2mS △DKG = ∴同理S △PKM =22()2m -∵S □PMGN =2S △PMN ·S △PMN=. ∴2S △PMN22()2m -2()2m即222()2m -2()2m12=1－22()2m -－2()2m ，(2－m )2+m 2=2， ∴m 1=m 2=1. ∴当S △PMN时，m =1. 24. （2016海南省，24，14分）如图 10-1，抛物线 y =ax 2－6x ＋c 与 x 轴交于点 A (－5，0)、B (－1，0)，与y 轴交于点 C (0，－5) ，点 P 是抛物线上的动点，连接 P A 、PC ，PC 与 x 轴交于点D ．（1）求该抛物线所对应的函数解析式；（2）若点 P 的坐标为（－2，3），请求出此时△ APC 的面积；（3）过点 P 作 y 轴的平行线交 x 轴于点 H ，交直线 AC 于点 E ，如图 10-2． ①若∠ APE =∠ CPE ，求证：=73=EC AE ； ②△ APE 能否为等腰三角形？若能，请求出此时点 P 的坐标；若不能，请说明理由．【答案】解：（1）∵抛物线y=ax2－6x+c过点B(－1，0)、C(0，－5).∴60,5.a cc++=⎧⎨=-⎩解得1,5. ac=-⎧⎨=-⎩∴该抛物线的解析式为y=－x2－6x－5.（2）设直线PC的解析式为y=kx+b.∵点C、P的坐标分别为(0，－5)、C(－2，3)，∴5,2 3.bk b=-⎧⎨-+=⎩解得5,4.bk=-⎧⎨=-⎩∴直线PC的解析式为y=－4x－5. 令y=0，则－4x－5=0，x=－5 4 .∴点D的坐标为(－54，0).AD= |－54－(－5)|=154.过点P作PM⊥x轴于点M.∵点P的坐标为(－2，3)，∴PM=3.∵点C的坐标为(0，－5)，∴OC=5.∴S△APC= S△APD+ S△ADC.∴S△APC=12AD·(PM+OC)=12×154×8=15.数学科试题第 10页（共 12页）数学科试题 第 11页（共 12页）（3）①∵PE ∥y 轴，∴PH ⊥AO .∴∠AHP =∠DHP =90°.又∵PH =PH ，∠APE =∠CPE ，∴△AHP ≌△DHP ，∴AH =DH .设点P (x ，－x 2－6x －5)，∴AH =DH = x －(－5)=x +5.PH =－x 2－6x －5.由PE ∥y 轴得PH DH =CO DO . 则2655x x x ---+=525x --. ∵x +5≠0，∴x +1=525x +. 解得x 1=－72，x 2=0(不符合). ∴OH = 72，AH = 32，∴AE EC =AH HO =37. ②能，分三种情况讨论Ⅰ、若P A =PE .由OA =OC =5，得∠AEP =∠P AE =∠ACO =45°， ∴∠APE =90°.此时点P 与点B 重合.∴此时点P 的坐标为(－1，0).Ⅱ、若AP =AE ，由题意可得∠APE =∠AEP =45°， 又∵PH ⊥AO ，∴AH =PH . 即－x 2－6x －5=x +5.解得x 1=－2，x 2=－5(不符合).则y =3，则点P 的坐标为(－2，3).Ⅲ、∵点A 、C 的坐标为(－5，0)、(0，－5). ∴直线AC 的解析式为y =－x －5.∴点E 的坐标为(x ，－x －5).若AE=PE.则PE= |－x2－6x－5－(－x－5)|. 即PE= |－x2－5x|.又AE=x+5)，则－x2－5xx+5)或x2+5xx+5)，(xx)=0或(xx)=0.解得：x1=x2=－5(不符合)，x3x4=－5(不符合).当x1=，y17，当x3，y3=－7.∴此时点P的坐标为(7)或7).综上所述可得点P的坐标为(－2，3)、(－1，0)、(7)或7).数学科试题第 12页（共 12页）。
2016年海南省中考英语试题及答案
2016年海南省中考英语试题及答案Hainan Province 2016 r ___ English Test (Exam Time: 90 minutes。
Full Marks: 120)Part One Listening (Four ns。
20 points in total)I。
Choose the Picture (5 ns。
1 point each)Choose the picture that ___.1.2.3.4.5.II。
Choose the Response (5 ns。
1 point each)Choose the best response to each ___ read twice.6.A。
By train。
B。
At 8:00.7.A。
No。
I don't。
B。
I'd love to.8.A。
Goodbye。
B。
Thank you.9.A。
___.10.A。
Perfect。
You did a good job。
B。
Don't worry。
I can help you。
C。
OK。
It's very nice of you.___ (5 ns。
1 point each)Choose the best answer based on the ___ read twice.11.What's wrong with the boy?A。
He has a toothache。
B。
He has a ___.12.What will the boy do?A。
He will see a doctor。
B。
He will go home to rest。
C。
He will take some medicine.13.What color does the woman like the most?A。
Green。
B。
Red。
C。
Blue.14.When can the woman come back?A。
海南省海口市龙华区2016九年期中
海南省海口市龙华区2016—2017学年度第一学期九年级数学科期中检测题时间：100分钟 满分：120分 得分：一、选择题（每小题3分，共42分）在下列各题的四个备选答案中，只有一个是正确的，请把你认为正确的答案的字母代号填写在下表相应题号的方格内.1.计算2)3(-的结果是A ．3B ．-3C ．-9D ．9 2.若二次根式4-x 有意义，则x 的取值范围是A ．x ＞4B ．x ≥4C ．x ≤4D ．x ≠4 3.下列根式中是最简二次根式的是A B C D 4.下列计算中，正确的是A.-=B ．2+=C 4=D 2=5.下列二次根式中，与2是同类二次根式的是 A.2.0 B.6C.8D.206. 方程052=-x x 的根是 A. x 1=x 2=0B. x 1=x 2=5C. x 1=0，x 2=-5 D ．x 1=0，x 2=57. 用配方法解方程x 2-8x +3=0，下列配方正确的是A ．(x -4)2=13B ．(x +4)2=13C ．(x -4)2=11D ．(x -4)2=-38.一元二次方程3x 2-5x +1=0的根的情况是A ．有两个不相等的实数根B ．有两个相等的实数根C ．只有一个实数根D ．没有实数根9. 已知关于x 的一元二次方程2x 2-3kx +4=0的一个根是1，则k 的值为 A ． 4 B ．2 C. -2 D. -410.某种品牌运动服经过两次降价，每件零售价由480元降为270元，已知两次降价的百分率相同，求每次降价的百分率．设每次降价的百分率为x ，下面所列的方程中正确的是 A ．480(1+x )2=270 B ．480(1-x )2=270 C ．480(1-2x )2=270 D ．480(1-x 2)=270 11. 下列各组中的四条线段成比例的是A ．a =1，b =3，c =2，d =4B ．a =4，b =6，c =5，d =10C ．a =2，b =4，c =3，d =6D ．a =2，b =4，c =6，d =8 12. 如图1，下列条件不能判定△ABC 与△ADE 相似的是 A.ABAD ACAE = B. ∠B =∠ADE C.∠C =∠AED D ．BCDE ACAE =13. 如图2，在平行四边形ABCD 中，E 为CD 上一点，连接AE ，BD ，且AE ，BD 交于点F ，S △DEF ：S △ABF = 4：25，则DE ：EC =A ．2：5B ．3：2C ． 3：5D ．2：314. 如图3，D 是等边△ABC 边AB 上的一点，且AD =1，BD =2，现将△ABC 折叠，使点C 与点D 重合，折痕为EF ，点E 、F 分别在AC 和BC 上，若BF =1.2，则CE 的长为 A ．53 B ．35 C ．34 D ．512二、填空题（每小题4分，共16分） 15．已知32a b =，那么a b b-= .16. 计算：)26)(26(-+= .17．某校数学兴趣小组为测量学校旗杆AC 的高度，在点F 处竖立一根长为1.5米的标杆DF ，如图4所示，量出DF 的影子EF 的长度为1米，再量出旗杆AC 的影子BC 的长度为6米，那么旗杆AC 的高度为 米．图3ABD CEFAB CD E图1C AD图2 EFCAB M• 图5 图418. 如图5, 在△ABC 中，AB =8，AC =5，M 是AC 边上的一点，AM =2， 在AB 边上取一点N ，使以A 、M 、N 为顶点的三角形与△ABC 相似，则AN 的长为 ． 三、解答题（共62分）19．计算(每小题4分，共12分) （1）1858⨯； （2）214)12(2+-； （3）12237527-+20．（5分）实数a 、b 在数轴上的位置如图6所示，化简：22)(2)1(a b b a -+---.21.解方程(每小题5分，共15分)（1）(x -4)2 =2x -8; （2）y 2-6y -7=0； （3）(2x +1) (x -3)=2.22. (9分)如图7，在直角墙角AOB （OA ⊥OB ，且OA 、OB 长度不限）中，要砌20m 长的墙，与直角墙角AOB 围成地面为矩形的储仓，且地面矩形AOBC 的面积为96m 2． （1）求地面矩形AOBC 的长；（2）有规格为0.80×0.80和1.00×1.00（单位：m ）的地板砖单价分别为55元/块和80元/块，若只选其中一种地板砖都恰好能铺满储仓的矩形地面（不计缝隙），用哪一种规格的地板砖费用较少？•图6 -1 -2 -3 •图723. （7分） 如图8，四边形ABEG 、GEFH 、HFCD 都是边长为1的正方形. （1）求证：△AEF ∽△CEA ；（2）求证：∠AFB +∠ACB =45°.24. （14分）如图9.1，在△ABC 中，∠BAC =90°，点D 为AB 边上的一点，过点D 作DE ⊥BC 于E ，连接CD ，过点A 作AF ∥DE 交CD 于点F ，交BC 于点G ，连接EF . （1）求证：△BED ∽△BAC ；（2）写出所有与△BED 相似的三角形（△BAC 除外）；（3）如图9.2，若四边形ADEF 是菱形，连接对角线AE 与DF 相交于点O . ①求证：OA 2=OC ·OF ；②当AE =12，CF =5时，求OF 的长，并直接写出△BED 与△BAC 的相似比ACDE 的值.图8BOFEAD图9.2G BFEAD图9.1G2016—2017学年度第一学期龙华区第六学区九年级数学科期中检测题参考答案及评分标准一、ABBCC DAABB CDDC 二、15．21 16.2 17. 9 18.516或45三、19．（1）原式=9541858⨯=⨯…（3分）=532 …（4分）（2）原式=2-212++22 …（3分）=3 …（4分）（3）原式=3453-+ …（3分）=8-34…（4分）20. ∵-1＜a ＜0，2＜b ＜3∴22)(2)1(a b b a -+---=1- a - (b -2) + b - a …（3分） =1-a - b +2+ b -a …（4分） = 3-2a …（5分）21.（1）x 1=4 ，x 2=6; （2）y 1=-1，y 2=7； （3）46551+=x ，46552-=x .22.（1）设地面矩形AOBC 的长是x m ，依题意得 …（1分）x (20-x )=96， …（3分）解得x 1=12，x 2=8（不合题意，舍去）. …（5分） 答：地面矩形AOBC 的长是12米. …（6分） （2）规格为0.80×0.80所需的费用：96÷(0.80×0.80)×55=8250（元）．规格为1.00×1.00所需的费用：96÷(1.00×1.00)×80=7680（元）．因为8250＜7680，所以采用规格为1.00×1.00所需的费用较少． …（9分）23. 证明：（1）∵四边形ABEG 、GEFH 、HFCD 是正方形 ∴ AB =BE =EF =FC =1，∠ABE =90° ∴,22==EC AE ，∴∴22==AE EC EF AE ，∴∴.AEEC EFAE =∴又∵∠CEA =∠AEF ，∴ △CEA ∽△AEF . …（4分）（2）∵△AEF ∽△CEA ， ∴∠AFE =∠EAC.∵四边形ABEG 是正方形，∴AD ∥BC ，AG=GE ，∠AGE =90°.∴∠ACB =∠CAD ，∠EAG =45°，∴∠AFB +∠ACB =∠EAC +∠CAD =∠EAG ，∴∠AFB +∠ACB =45° . …（7分）24 （1）∵DE ⊥BC ，∠BAC =90°∴ ∠BED =∠BAC =90°， ∵ ∠B=∠B .∴ △BED ∽△BAC …（3分） （2）△BED ∽△BGA ，△BED ∽△AGC …（5分） （3）①如图，∵四边形ADEF 是菱形，∴AD=AF ，AE ⊥DF∴ ∠1=∠2，∠AOF =90° ∴ ∠2+∠3=90°. ∵∠BAC =90°， ∴ ∠1+∠4=90°. ∴ ∠3=∠4. ∵∠AOC=∠AOC .∴ △OAF ∽△OCA.∴OAOF OCOA =,∴OA 2=OC ·OF. …（9分） ②设OF =x ，则OC =x +5.∵四边形ADEF 是菱形，AE=12， ∴OA=21AE=6由①可知OA 2=OC ·OF ，列方程得：36=x (x +5)， 解得：x 1=4，x 2=-9（不合题意，舍去）∴OF 的长为4. …（12分） △BED 与△BAC 的相似比32=ACDE . …（14分）FBE21 3B O FE ADG4。
2024届海南省海口九中学海甸分校中考联考英语试卷含答案
2024届海南省海口九中学海甸分校中考联考英语试卷含答案考生请注意：1．答题前请将考场、试室号、座位号、考生号、姓名写在试卷密封线内，不得在试卷上作任何标记。
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Ⅰ. 单项选择1、—Which song do you like better, Lucy?—I prefer the song Little Apple________ can attract many people.A．which B．who C．whom D．where2、-- My mother is going to make dumplings tonight, would you like to come for dinner?--_ _.A．Y es, please B．Thank you, I'd love toC．Y es, I won't come D．No, I won' t3、He gave her daughter a dictionary as a birthday present she was learning English.A．when B．after C．because D．until4、— Cindy never eats the food that ______ and often pours it away.—But it’s really wastefull to do so.A．stays B．keeps C．remains D．leaves5、After the government carried out the two-child policy, she had a second child in her________.A．thirtieth B．thirties C．thirty D．the thirtieth6、________ important information you’ve told me!A．What a B．How C．What D．How a7、---Eric, _____ can you have your poster been ready?---I'm not sure. We are still waiting for the final design.A．how long B．how soon C．how often D．how far8、“Lichun” falls ______ February 4th this year. It is the beginning of spring and the first of the 24 solar terms of the Chinese lunar calendar.A．at B．in C．on D．of9、Helen is my friend. She is in ______ at Beijing No.11Middle School.A．Y ear 3 B．3 grade C．3th Year D．grade third10、Mary’s coat is __________ yours. If you feel cold, you can wear hers.A．different from B．the same size asC．just unlike D．the same colourⅡ. 完形填空flowers. But in the cold of 2 , these wonderful flowers bring warmth to us.They are made of paper by my3 ,who is now aged 70. With a few cuts, she4 a piece of paper into a beautiful work of art.When my grandma was young, she was considered clumsy(笨拙的) in the 5 . But on a coldwinter night, she saw some beautiful red paper 6 on her new neighbor's windows She was so interested in it and decided to 7from her neighbor.Tons of paper was wasted, and her fingers werecut many times. But she 8 practicing. It took 10 years 9 my grandma could make paper art skillfully (娴熟地). The red flowers, blooming like burning fire, light up her world. Now, everyone in the village 10 her.My grandma's story has shown me what it takes to realize one's dream.1．A．nice B．real C．full D．sweet2．A．spring B．summer C．autumn D．winter3．A．sister B．aunt C．mother D．grandma4．A．changes B．spreads C．places D．bums5．A．city B．town C．villages D．block6．A．art B．money C．walls D．books7．A．buy B．steal C．learn D．borrow8．A．ended up B．kept on C．put off D．thought about9．A．before B．after C．while D．since10．A．serves B．pardons C．respects D．warnsⅢ. 语法填空12、Alec plays the violin and Stella plays the flute in the band at their school. The school has two bands 1．are known as the training band and th e concert band. Everyone begins in the training band. “At the very beginning, I played it 2．(terrible)!” says Stella. “My family asked me to practice in the back yard 3．they didn’t like the noise.”Alec and Stella have been playing their instruments for a year now so they sound much better. They are both in the concert band and they are learning 4．(difficult) music than before. “We’re learning the music from the film Pirates of the Caribbean. It sounds fantastic!” says Alec. “It is really great 5．( play) in the band with other kids.”As well as being fun, many 6．(scientist) say that learning a musical instrument is good for your brain. It helps children 7．their reading and math skills. It helps them learn to concentrate. Alec thinks that learning the violin has helped 8．(he) at school. “I have to concentrate and think about nothing when I’m practicing,” he says. “AndLearning music can 9．help children become more sure of themselves. As Stel1a says, “The first time I 10．(stand) in front of an audience I was scared. But now I really enjoy it.”Ⅳ. 阅读理解A13、SAFETY RULES ON THE MTR TRAINSAt the station：Be patient.Line up on the platform（站台）and wait for the train.Be polite.Let passengers get off first.Do not rush onto the train.It is dangerous.When you hear a"beep"sound，do not get on the train.The door is closing.Wait for another train.On the train：Do not eat or drink on the train.It makes the train dirty.Do not run on the train.Give up your seat to old men or women，the disabled or women carrying babies1．The text is mainly about how to____________.A．be a careful driver B．buy MTR ticketsC．be a good passenger D．keep safe at home2．People who will get on the train should___________.A．wait in line B．open the door C．ask for help D．leave the seats3．When you hear a “beep” sound, ______________ .A．close the door B．rush onto the trainC．get off the train at once D．stop and wait for the next train4．Which picture shows the good behavior on the train according to the text?A．B．C．D．5．The text is probably a________________.A．report B．notice C．diary D．poemB14、Your brain controls everything you do. It makes it possible for you to think, learn, create and feel; to blink(眨眼) and breathe and for your heart to heat –this fantastic control center is your brain. It is so amazing that a famous scientist once called it “the most complex(复杂) thing we have yet discovered in our universe”.Can this small grey organ(器官), which weighs less than one and a half kilos, really do so much? Amazingly, your brain contains about 100 billion neurons(神经元) -it would take you over 3 ,000 years to count them all. Believe it or not, the activity in your brain never stops. Your neurons create and send more messages than all the phones in the world. And although one neuron creates only a little electricity, all your neurons together can produce enough electricity to power a light bulb (灯泡).So exactly how fast does your brain work? Well, imagine this: a bee lands on your foot. Neurons in your skin send this information to your brain at a speed of more than 240 kilometers per hour. Y our brain then uses other neurons to send the message back to your foot to shake the bee off quickly. These neurons can send this information at more than 320 kilometers per hour. No computer has your brain's unbelievable ability to deal with the amount of information coming from your eyes, ears and other sensory organs.But how does your brain allow you to learn things that you will use in the future? The structure (结构) of your brain changes every time you have a new thought, remember or learn something. For example, riding a bike seems impossible at first, but soon you are able to do it. How? As you practice, your brain sends "bike riding" messages again1．From the passage we know that neurons___________.A．receive messages very slowly B．are only found in your skinC．send messages to your brain D．need electricity to work2．In Paragraph 3, the writer mentions computers to ___________ .A．compare them with the human brainB．show how fast they have becomeC．say that computers have no abilitiesD．ask people to use computers more3．When you have a new thought, ___________ .A．your brain will power a light bulb B．your heart beats fasterC．you remember something D．the structure of your brain changes4．Which of the statements about the brain is TRUE?A．The speed of the neurons in the brain can be up to 320 kilometers per minute.B．The electricity produced by the neurons can hardly power a light bulb.C．We learn a new skill by sending the messages again and again through the brain.D．After receiving the information, the brain send the same neurons back to your foot.5．The article is mainly about ___________.A．all the steps when your brain learns thingsB．what an unbelievable organ the human brain isC．how the brain makes people smarter than computersD．the things you can do to make your brain work fasterC15、It was a winter morning，just a couple of weeks before Christmas．While most people were warming up their cars，Peter，my husband，had to get up early to ride his bike four kilometers away from home to work．When he arrived，he parked his bike outside the backdoor as he usually does．After 10 hours’work，he returned to find his bike gone．The bike，a black Kona 18 speed，was our only transport．Peter used it to get to work and daily life．Our life depends on this bike．1 was so sad that someone would steal our bike that I wrote to the newspaper and told them our story．Shortly after that，several people in our area offered to help．One wonderful stranger even bought a bike，and then called my husband to pick it up．Once again my husband had a way to get to and from his job．People say that a smile can be passed from one person to another，but acts of kindness from strangers are even more so．No matter how big or how small，an act of kindness shows that someone cares．And the results can be everlasting．1．The story happened ．A．in summer B．after ChristmasC．on Christmas Day D．in winter2．The bike was so important to the couple because ．A．the man’s job was bike racingB．the family has nothing but this bikeC．it was a nice Kona 18 speedD．Peter used it for work and daily life3．People got to know the couple’s problem from．A．radio broadcasts B．a newspaperC．TV news D．a stranger4．From their experience，the couple have learnt that ．A．strangers are usually of little helpB．one should take care of their bikeC．news reports make people famousD．an act of kindness can mean a lotD16、Now many people like fast food. We all know that fast food is notverygood for our health. So more and more fast food restaurants are serving healthier food and you can make healthier choices. Here are some tips for ordering healthy food at fast food restaurants.◆Don't order the biggest size. The biggest size seems cheaper, but it is not good for your health. The biggest size has the most fat, sugar and so on. A smaller size is probably enough for you.◆Some drinks are full of sugar. So when you are thirsty, you should choose milk or water.◆Usually fried food is not the best choice. You should choose baked(烘烤的)food. It is healthier.◆Go for the kids menu, because the sizes of kids food are usually smaller. You can eat less.◆Today, more and more fast food restaurants are starting to serve healthier food. You can order the food with words like "healthy’’ or“light”on the menu.By making smart choices, eating at fast food restaurants can be not that bad.根据短文内容，选择最佳答案。
福建省福州市第十六中学2024-2025学年上学期九年级开学考试英语试卷
福建省福州市第十六中学2024-2025学年上学期九年级开学考试英语试卷一、单项选择1．—What kind of ________ does your little son like?—Ice cream and cookies.A．desserts B．vegetables C．drinks2．—Some of my friends eat with their eyes. They prefer to order what ________ nice.—Aha, I’m one of them!A．tastes B．smells C．looks3．—The 2021 Boao Forum for Asia (博鳌亚洲论坛) was held on April 18th.—Yes. And this year’s meeting is ________ 20th birthday of the Forum.A．a B．an C．the4．—Hi, Tom, what do you think is the greatest advantage of shopping online?—At least I ________ spend much time going from shop to shop.A．needn’t B．shouldn’t C．can’t5．I didn’t do well in this exam. However, Jack did ________ than me.A．badly B．worse C．worst6．—Meimei, why are people crowding there?— ________ President Xi Jinping. He is coming to Three Lanes and Seven Alleys today.A．Welcome B．To welcome C．Welcoming7．At the Spring Festival Gala, everyone shouts “Happy New Year” ________ it is twelve o’clock.A．though B．if C．as soon as8．For students, good health ________ proper exercise, enough sleep and happy moods, I think.A．works on B．depends on C．decides on9．— How much does a HUAWEI Mate 40 Pro ________?— About 6000 yuan. We can’t afford it.A．cost B．spend C．pay10．—Mount Wuyi is ________ a beautiful place ________ many people go there for a visit.—Yes, I went there last month. It’s worth exploring.A．such；that B．so；that C．too；to11．—Sally, please tell me when you _________ the poster.—OK. I’ll call you then.A．will finish B．finish C．finished12．—You can choose _________Saturday ________Sunday. Just leave me one day to stay with my parents.—All right.A．either; or B．not only; but also C．both; and13．—My family like watching Craftsmen of the Nation《大国工匠》on CCTV.—Me, too. I am ________ what they do for our country.A．worried about B．strict with C．proud of14．—Are you sure we can't use spoons and chopsticks at the same time?—Yes. We are in Korea now. ________, you know.A．Practice makes perfectB．The results are worth the effortC．When in Rome, do as Romans do15．— I have sore eyes. Can you tell me ________?— People’s Hospital. It has the best doctors in the city.A．if I should go to the hospitalB．which hospital I should chooseC．how I can go to the hospital二、完形填空During World War II , most families were poor and life was not easy for them. John’s family was one of them. They didn’t have a washing machine. Therefore, keeping clothes 16 became a problem for them.Before long, Peter, their neighbor, 17 to join the army and his wife was going with him. They left 18 to John’s family and wished them to look after their home. John’s family told Peter that they could 19 his furniture while he was away. To the family’s 20 , Petersuggested they should use his Bendix washing machine.“It would be better for it to be used, rather than sitting 21 .” he said.Young John helped with the washing, and he 22 a deep love of the old, green Bendix. Later, the war ended and Peter returned. 23 he took the key away and left, John couldn’t help crying. His mother saw this and said to him. “Son, you must remember that machine didn’t belong to (属于) us 24 . It was a gift for us to be able to use it for such a long time. So, 25 being sad about the loss, let’s be thankful that we were able to use it at that time.”We have all experienced loss：loss of people and things. However, if we see the thing we have lost as a gift that we were given for a time, maybe the sad memories will change into thankful ones.16．A．warm B．clean C．beautiful 17．A．decided B．failed C．refused18．A．a plan B．a note C．a key19．A．put down B．take care of C．look for20．A．regret B．surprise C．disappointment 21．A．lightly B．carefully C．quietly 22．A．developed B．accepted C．chose23．A．So B．After C．Before24．A．any longer B．from then on C．at first25．A．instead of B．in case of C．because of三、阅读理解Jackie is writing a summary (总结) and feedback about School Day to his teacher.All of the groups performed well on School Day and received praise from the visitors. In short, our School Day went well and we got no poor opinions from the visitors. Feedback: We have collected opinions from 100 students. Most students thought the activities were good. However, some students thought the prices of the school postcards were a little too high.Satisfaction Feedback (反馈)Follow up: Have a meeting with the headmaster about prizes for excellent student helpers.26．Jackie wrote the text to ________.A．give a report B．have a School DayC．collect opinions from visitors D．hold a meeting with teachers27．Who is the leader (领导者) of Chinese paintings Group?A．Natalie.B．Nick.C．Leo.D．Tina.28．How did the visitors feel about the activities?A．Disappointed.B．Satisfied.C．Worried.D．Surprised. 29．How many students like the recycling bags according to the feedback?A．50.B．25.C．15.D．10.30．Which of the following is TRUE about the activities?A．The School Day was on March 6th.B．Twenty-four students offered their feedback.C．The postcards were cheap.D．Students helpers who did well can get prizes.The elderly people in care homes in London are given hens to look after to stop themfeeling lonely.The project was started by a local charity. ________ Workers in care homes have reported a reduction in the use of medicine where hens are in use.Among those taking part in the project is 80-year-old Ruth Xavier. She said, “I used to keep hens when I was younger and had to prepare their breakfast each morning before I went to school.I like the project a lot. I’m waiting there in my wheelchair in the morning letting the hens out and waiting there again at night to see they’ve gone to bed. It’s good to have a different interest. People have been bringing their children in to see the hens and they come and sit outside to watch them. I’m enjoying the creative activities, and I feel great to have a sense of achievement (成就感).”There are now 700 elderly people looking after hens in 20 care homes in the North East, and the charity has been given money to start it all over the country. Wendy Wilson, a care manager at 60 Penfold Street, one of the first to embark on the project, said, “Elderly people really welcome the idea of the project and the creative way. We are looking forward to the good result and the fun the project can bring to people here.”Lynn Lewis, director of Notting Hill Pathways, said, “We are happy to be taking part in the project. It will really help connect old people through a shared interest and creative activities.”31．What is the purpose of the project?A．To help old people learn new knowledge.B．To provide part-time jobs for the aged.C．To raise money for elderly people.D．To improve the elderly people’s life.32．Which can we put in the “________”?A．It’s a good way to kill time.B．It also helps them to be healthier.C．It makes them live a busy social life.D．It offers them a chance to get close to nature. 33．How has the project affected Ruth Xavier?A．She has learned new life skills.B．She thinks she has done something useful.C．She can remember things better.D．She misses her family less.34．The underlined words “embark on” in Paragraph 4 probably mean ________.A．improve B．Know C．begin D．refuse35．What can we learn about the project from the last two paragraphs?A．It is popular with old people.B．It needs to be more creative.C．It makes a lot of money.D．It takes time to see the results.In Chinese cities, people in yellow or blue suits riding e-bikes are easy to see. They rush between traffic from restaurants to homes and businesses. They are food deliverymen. Though they make our life more convenient, this can come at a cost for them.“The food deliverymen are trapped in the app,” says an article in the Chinese magazine Portrait, which has caused a discussion. It points out that on food delivery service platforms Erleme and Meituan, the time limit (限制) and route for each delivery order is worked out by an algorithm (算法), which doesn’t consider real-life situations such as red lights, speed limits and waiting for the lift.Based on the algorithm, the time limit for a delivery order within 2 kilometers is 30 minutes. Within that time, a deliveryman has to pick up the order and deliver it to the customer. Besides, the deliverymen have shorter limit time in recent years. Delay (延迟) could mean a deduction in pay so deliverymen speed up, often breaking traffic rules and putting people’s lives at risk.Many people asked the platforms to improve the rules applied to the deliverymen. On Sept 9, Erleme announced it would add a button to the app, which allowed customers to extend the time limit for their order, and encouraged customers to show more respect for deliverymen.But this created more heated debates (激烈的讨论). They felt the company was putting the responsibility (责任) on the users rather than solving the problem themselves. Also, even with the ability to allow more time for delivery, it may not fully solve the problem. “If I give them five more minutes, they would not use it to ride slowly or obey the traffic rules. They would simply take one more order. This is not the final cure to solve the problem.”Actually it would be better to improve the platform’s system and the delivery system. Besides, the government should prevent companies from setting short time limit for their deliverymen and keep them safe on the roads.36．In which column of a newspaper can we find the article?A．Nature.B．Life.C．Culture.D．Travel. 37．According to the passage, what can we know about the food deliverymen?A．They had even shorter delivery time limit in the past.B．They seldom wear uniforms when they are working.C．They have difficulty in delivering the food within the time limit.D．The algorithm offers them practical choices of time and routes.38．What does the underlined word “extend” in Paragraph 4 mean in Chinese?A．缩短B．延长C．取消D．挑选39．What do people think of “adding a button to the app”?A．Customers shouldn’t take responsibility for the problem.B．More problems are certain to be brought about.C．The method might be the best solution to the problem.D．The company is sparing no effort to solve the problem.40．What can be the best title for the text?A．Planning the Delivery Time B．Deliverymen Break the RulesC．No Deadlines for Deliverymen D．Lightening Deliverymen’s LoadBy the year 2050, it is estimated that the world’s population will reach nine billion. An interesting question: what happens when people in poorer countries raise their living standard and demand more meat in their diet? Imagine trying to feed nine billion people with enough meat. In short, it’s simply impossible.Australian journalist and science writer, Julian Cribb, explains the challenges the world faces in feeding nine billion people by the year 2050. Cribb says there is a big problem in the food system in the developed world, at least. As more and more people move toward city centers, the less and less they know about where their food comes from. Most think food simply grows on supermarket shelves, and they don’t consider the environmental effects of food production.Food has many hidden cost: huge volumes of water, energy use and land degradation (退化). Consumers add their own costs by simply throwing away a lot of food. The figures waste in West is staggering.To solve this problem of public ignorance (无知) about food, Cribb suggests that food should be taught as a subject at primary school. This would help to create a future generation that could better deal with the world’s coming food challenges. This measure can help to raise ageneration of educated consumers, more productive farmers, and so on.Cribb offers other solutions and suggestions as well. One is to increase the funding for agriculture (农业) science. He suggested organic (有机的) farming should be understood on a scientific basis, changing people’s thinking to one of a new form of “environmental agriculture” to get the very best out of organic farming systems. He says we should stop wasting food and learn how to grow food more cheaply. We should use less water as water is one of the main inputs into food production. Cribb also suggests eating more fruit and vegetables.41．In the second paragraph, one problem of the food system in developed countries is _______.A．increasing ignorance about the means of food production B．an increasing number of people moving to city centersC．overpopulation with nine billion people to feed D．food production doing harm to the environment42．What does the underlined word “staggering” in Paragraph 3 mean in Chinese?A．令人困惑的B．令人吃惊的C．令人恐惧的D．令人满意的43．Which of the following is NOT a reason for making food a subject at school?A．To help students understand more about city environment.B．To train more productive farmers.C．To better prepare students for food challenges.D．To educate students more about food production.44．What is the structure of the passage? (①= Paragraph 1)A．B．C．D．45．What’s the passage mainly about?A．The effect of agriculture on the environment.B．The effect of the world’s population on agriculture.C．Food problems in the future and some solutions.D．The development of agriculture in the future.阅读下面短文。
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九年级数学 第1页（共6页）
2014—2015学年度第一学期
海口市九年级数学科期末检测题
时间：100分钟 满分：120分 得分：
一、选择题（每小题3分，共42分）
在下列各题的四个备选答案中，只有一个是正确的，请把你认为正确的答案的字母代号填写在下表相应题号的方格内.
1．计算2)4(-的结果是
A ．16
B . 4
C . 2
D . -4
2. 当x =2-1时，代数式x 2-1的值是
A ．1
B ．2
C ．2-22
D ．22-2 3．下列根式中, 与23是同类二次根式的是
A . 6
B . 18
C . 30
D .
3
4
4. 若二次根式62-x 在实数范围内有意义，则x 的取值范围是
A ．x ≤3
B ．x ＞3
C ．x ＞-3
D ．x ≥3 5．方程4x 2=8x 的解是
A . x =2
B . x =0
C . x 1=0，x 2=2
D . x 1=-2，x 2=2 6．将一元二次方程x 2-4x +3=0化成(x+m )2=n 的形式，则n 等于 A ．-3 B ．1 C ．4 D ．7 7．用20cm 长的铁丝，折成一个面积为24cm 2的矩形，则矩形的宽为
A ．8cm
B ．6cm
C ．5cm
D ．4cm
8．关于x 的一元二次方程x 2+bx+c =0的两个实数根分别为 -2和3，则
A ．b =1，c =-6
B ．b =-1，c =-6
C ．b =5，c =-6
D ．b =-1，c =6 9. 如图1，在△ABC 中，∠A =90°，AB =3，BC =5，则cos B 等于
九年级数学 第2页（共6页）
A ．5
3
B ．
54 C ．3
4 D ．
4
3
10．如图2，AB 、CD 相交于点O ，AD ∥CB ，若AO =2，BO =3，CD =6，则CO 等于
A ．2.4
B ．3
C ．3.6
D ．4
11. 如图3，在△ABC 中，DE ∥BC ，EF ∥AB ．若AD =2BD ，则CF :BF 的值为
A ．1:2
B ．1:3
C ．1:4
D ．2:3
12．一个布袋里装有5个球,其中3个红球，2个白球，每个球除颜色外其他完全相同，从
中任意摸出一个球，是红球的概率是
A ．61
B ．51
C ．52
D ．5
3
13. 如图4，某地入口处原有三级台阶，每级台阶高为20cm ，深为30c m ，拟将台阶改为
斜坡，设台阶的起点为A ，斜坡的起始点为C ，现设计斜坡的坡度i =1:5，则AC 的长度是
A . 200cm
B . 210 cm
C . 240 cm
D . 300 cm
14．直线l 1∥l 2∥l 3，且l 1与l 2的距离为1，l 2与l 3 的距离为3．把一块含有45°角的直角三
角板如图5放置，顶点A 、B 、C 恰好分别落在三条直线上，AC 与直线l 2交于点D ，则线段BD 的长度为 A ．
425 B ．325 C ．320 D ．4
15
二、填空题（每小题4分，共16分）
图5
l 1
l 2 l 3
图4
A
B
C
图1
A D
图2
O
A
B
D
C
图3 E F
九年级数学 第3页（共6页）
15. 当x 时，
2)1(-x =1-x ．
16．若关于x 的方程x 2-kx+9=0（k 为常数）有两个相等的实数根，则k = . 17．如图6，在△ABC 中，∠BAC =90°，∠B =60°，AD ⊥BC 于点D ，则△ABD 与△ADC
的面积比为 .
18．如图7，在边长为2的正方形ABCD 中，对角线AC 、BD 交于点O ，E 是BC 的中点，
DE 交AC 于点F ，则EF 的长为_______. 三、解答题（共62分）
19．计算(第（1）、（2）小题每题4分，第（3）小题5分，共13分) （1）2726⨯ ； （2）2025
545+-； （3） (1-cos30°
)2+︒60tan 1.
20. (8分) 某果园2011年水果产量为100吨，2013年水果产量为144吨，求这两年该果
园水果产量的年平均增长率．
B
A
D
C 图7
E F
O
图6
B
A
C
九年级数学 第4页（共6页）
21．（8分）如图8，管中放置着三根同样的绳子AA 1、BB 1、CC 1.
（1）小明从这三根绳子中随机选一根，恰好选中绳子AA 1的概率是多少？
（2）小明先从左端A 、B 、C 三个绳头中随机选两个打一个结，再从右端A 1、B 1、C 1
三个绳头中随机选两个打一个结，请用列表或画树状图的方法，求这三根绳子能连结成一根长绳的概率．
22．(9分)某中学九年级学生在学习“直角三角形的边角关系”时，组织开展测量物体高
度的实践活动．在活动中，某小组为了测量校园内①号楼AB 的高度(如图9)，站在②号楼的C 处，测得①号楼顶部A 的仰角α=30°，底部B 的俯角β=45°.已知两幢楼的水平距离BD 为18米，求①号楼AB 的高度．（结果保留根号）
23．（11分）如图10，在平面直角坐标系中，△ABC 的三个顶点坐标分别为A (-2,1)，
B (-1,4)，
C (-3,3)．
（1）画出△ABC 关于y 轴对称的△A 1B 1C 1，并写出A 1点的坐标及sin ∠B 1A 1C 1的值； （2）以原点O 为位似中心，位似比为1:2，在y 轴的左侧，画出将△ABC 放大后的
图9
图8
B 1 A 1 1
九年级数学 第5页（共6页）
△A 2B 2C 2，并写出A 2点的坐标；
（3）若点D (a ,b )在线段AB 上，直接写出经过(2)的变化后点D 的对应点D 2的坐标．
24.（13分）如图11.1，DC ∥AB ，∠D =90°，AC ⊥BC ，AB =10cm ，BC =6cm . 点P 以1cm /s
的速度从点A 出发，沿AB 方向向点B 运动，同时点Q 以2cm /s 的速度从点B 出发，沿B →C →A 方向向点A 运动，当一个运动点到达终点时，另一个运动点也随之停止运动，设运动的时间为t (s ).
（1）① 求证：△ACD ∽△BAC ；② 求DC 的长；
（2）当点Q 在边BC 上运动，求t 为何值时，△PBQ 的面积为
5
64
cm 2； （3）如图11.2，当点Q 在边CA 上运动，求t 为何值时，PQ ∥BC .
图10
图11.1
图11.2。