2015年深圳宝安区二模模拟测试题
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2015年广东省深圳市宝安区中考数学模拟试卷一、选择题(本部分共12小题,每小题3分,共36分.)1.(3分)4的平方根是()A.2 B.﹣2 C.±2 D.162.(3分)2011年8月12日,第26届世界大学生夏季运动会将在深圳开幕.本届大运会的开幕式举办场地和主要分会场深圳湾体育中心总建筑面积达256520m2.数据256520m2用科学记数法(保留三个有效数字)表示为()A.2.565×105m2B.0.257×106m2C.2.57×105m2 D.25.7×104m23.(3分)下列各图是一些常用图形的标志,其中是轴对称图形但不是中心对称图形的是()A.B.C.D.4.(3分)下列运算正确的是()A.3ab﹣2ab=1 B.x4•x2=x6C.(x2)3=x5D.3x2÷x=2x5.(3分)下列说法正确的是()A.一个游戏的中奖概率是,则做5次这样的游戏一定会中奖B.为了解深圳中学生的心理健康情况,应该采用普查的方式C.事件“小明今年中考数学考95分”是可能事件D.若甲组数据的方差S=0.01,乙组数据的方差S=0.1,则乙组数据更稳定6.(3分)如图,已知BD是⊙O的直径,点A、C在⊙O上,=,∠AOB=60°,则∠BDC的度数是()A.20°B.25°C.30°D.40°7.(3分)不等式组的解集在数轴上表示正确的是()A.B.C.D.8.(3分)一家商店将某种商品按进货价提高100%后,又以6折优惠售出,售价为60元,则这种商品的进货价是()A.120元B.100元C.72元D.50元9.(3分)若ab>0,则函数y=ax+b与函数在同一坐标系中的大致图象可能是()A.B.C.D.10.(3分)如图,直径为10的⊙A上经过点C(0,5)和点0(0,0),B是y 轴右侧⊙A优弧上一点,则∠OBC的余弦值为()A.B.C.D.11.(3分)如图,Rt△ABC中,∠C=90°,∠A=30°,AB=4,将△ABC绕点B按顺时针方向转动一个角到△A′BC′的位置,使点A、B、C′在同一条直线上,则图中阴影部分的周长是()A.4π+4B.4πC.2π+4D.2π12.(3分)如图,已知四边形OABC是菱形,CD⊥x轴,垂足为D,函数的图象经过点C,且与AB交于点E.若OD=2,则△OCE的面积为()A.2 B.4 C.2 D.4二、填空题(本题共4小题,每小题3分,共12分.)13.(3分)因式分解:a3﹣4a=.14.(3分)如图,在⊙O中,圆心角∠AOB=120°,弦AB=2cm,则OA=cm.15.(3分)在数据1,2,3,1,2,2,4中,众数是.16.(3分)在△ABC中,AB=6,AC=8,BC=10,P为边BC上一动点,PE⊥AB于E,PF⊥AC于F,M为EF中点,则AM的最小值为.三、解答题(满分52分)17.(6分)计算:()﹣1﹣|﹣2+tan45°|+(﹣1.41)0.18.(6分)先化简,再求值:,其中x=2.19.(8分)某校为了解九年级学生体育测试情况,以九年级(1)班学生的体育测试成绩为样本,按A,B,C,D四个等级进行统计,并将统计结果绘制成如下的统计图,请你结合图中所给信息解答下列问题:(说明:A级:90分~100分;B级:75分~89分;C级:60分~74分;D级:60分以下)(1)请把条形统计图补充完整;(2)样本中D级的学生人数占全班学生人数的百分比是;(3)扇形统计图中A级所在的扇形的圆心角度数是;(4)若该校九年级有500名学生,请你用此样本估计体育测试中A级和B级的学生人数约为人.20.(8分)如图,在△ABC中,BE是它的角平分线,∠C=90°,D在AB边上,以DB为直径的半圆O经过点E,交BC于点F.(1)求证:AC是⊙O的切线;(2)已知sinA=,⊙O的半径为4,求图中阴影部分的面积.21.(8分)现计划把甲种货物1240吨和乙种货物880吨用一列货车运往某地,已知这列货车挂在A、B两种不同规格的货车厢共40节,使用A型车厢每节费用为6000元,使用B型车厢每节费用为8000元.(1)设运送这批货物的总费用为y万元,这列货车挂A型车厢x节,试定出用车厢节数x表示总费用y的公式.(2)如果每节A型车厢最多可装甲种货物35吨和乙种货物15吨,每节B型车厢最多可装甲种货物25吨和乙种货物35吨,装货时按此要求安排A、B两种车厢的节数,那么共有哪几种安排车厢的方案?22.(8分)如图1,边长为2的正方形ABCD中,E是BA延长线上一点,且AE=AB,点P从点D出发,以每秒1个单位长度沿D→C→B向终点B运动,直线EP交AD 于点F,过点F作直线FG⊥DE于点G,交AB于点R.(1)求证:AF=AR;(2)设点P运动的时间为t,①求当t为何值时,四边形PRBC是矩形?②如图2,连接PB.请直接写出使△PRB是等腰三角形时t的值.23.(8分)如图1,已知抛物线y=ax2﹣2ax+4与x轴交于A、B两点,与y轴交于点C,且OB=OC.(1)求抛物线的函数表达式;(2)若点P是线段AB上的一个动点(不与A、B重合),分别以AP、BP为一边,在直线AB的同侧作等边三角形APM和BPN,求△PMN的最大面积,并写出此时点P的坐标;(3)如图2,若抛物线的对称轴与x轴交于点D,F是抛物线上位于对称轴右侧的一个动点,直线FD与y轴交于点E.是否存在点F,使△DOE与△AOC相似?若存在,请求出点F的坐标;若不存在,请说明理由.2015年广东省深圳市宝安区中考数学模拟试卷参考答案与试题解析一、选择题(本部分共12小题,每小题3分,共36分.)1.(3分)4的平方根是()A.2 B.﹣2 C.±2 D.16【分析】根据平方根的定义,求数a的平方根,也就是求一个数x,使得x2=a,则x就是a的平方根,由此即可解决问题.【解答】解:∵(±2)2=4,∴4的平方根是±2.故选:C.2.(3分)2011年8月12日,第26届世界大学生夏季运动会将在深圳开幕.本届大运会的开幕式举办场地和主要分会场深圳湾体育中心总建筑面积达256520m2.数据256520m2用科学记数法(保留三个有效数字)表示为()A.2.565×105m2B.0.257×106m2C.2.57×105m2 D.25.7×104m2【分析】科学记数法的表示形式为a×10n的形式,其中1≤|a|<10,n为整数.确定n的值是易错点,由于256520有6位,所以可以确定n=6﹣1=5.有效数字的计算方法是:从左边第一个不是0的数字起,后面所有的数字都是有效数字.用科学记数法表示的数的有效数字只与前面的a有关,与10的多少次方无关.【解答】解:256520m2=2.57×105m2,故选:C.3.(3分)下列各图是一些常用图形的标志,其中是轴对称图形但不是中心对称图形的是()A.B.C.D.【分析】根据轴对称图形与中心对称图形的概念求解.【解答】解:A、是轴对称图形,是中心对称图形,故本选项错误;B、是轴对称图形,不是中心对称图形,故本选项正确;C、不是轴对称图形,也不是中心对称图形,故本选项错误;D、是中心对称图形,是轴对称图形,故本选项错误.故选:B.4.(3分)下列运算正确的是()A.3ab﹣2ab=1 B.x4•x2=x6C.(x2)3=x5D.3x2÷x=2x【分析】根据合并同类项法则;同底数幂相乘,底数不变指数相加;幂的乘方,底数不变指数相乘;同底数幂相除,底数不变指数相减,对各选项计算后利用排除法求解.【解答】解:A、应为3ab﹣2ab=ab,故选项错误;B、x4•x2=x6,正确;C、应为(x2)3=x6,故选项错误;D、应为3x2÷x=3x,故选项错误.故选:B.5.(3分)下列说法正确的是()A.一个游戏的中奖概率是,则做5次这样的游戏一定会中奖B.为了解深圳中学生的心理健康情况,应该采用普查的方式C.事件“小明今年中考数学考95分”是可能事件D.若甲组数据的方差S=0.01,乙组数据的方差S=0.1,则乙组数据更稳定【分析】分别利用方差以及众数和中位数以及全面调查与抽样调查的概念,判断得出即可.【解答】解:A、一个游戏的中奖概率是,则做5次这样的游戏不一定会中奖,故此选项错误;B、为了解深圳中学生的心理健康情况,应该采用抽样调查的方式,故此选项错误;C、事件“小明今年中考数学考95分”是可能事件,此选项正确;D、若甲组数据的方差S=0.01,乙组数据的方差S=0.1,则甲组数据更稳定,故此选项错误;故选:C.6.(3分)如图,已知BD是⊙O的直径,点A、C在⊙O上,=,∠AOB=60°,则∠BDC的度数是()A.20°B.25°C.30°D.40°【分析】由BD是⊙O的直径,点A、C在⊙O上,=,∠AOB=60°,利用在同圆或等圆中,同弧或等弧所对的圆周角等于这条弧所对的圆心角的一半,即可求得∠BDC的度数.【解答】解:∵=,∠AOB=60°,∴∠BDC=∠AOB=30°.故选:C.7.(3分)不等式组的解集在数轴上表示正确的是()A.B.C.D.【分析】分别解两个不等式,然后求它们的公共部分即可得到原不等式组的解集.【解答】解:解x+1≥﹣1得,x≥﹣2;解x<1得x<2;∴﹣2≤x<2.故选:D.8.(3分)一家商店将某种商品按进货价提高100%后,又以6折优惠售出,售价为60元,则这种商品的进货价是()A.120元B.100元C.72元D.50元【分析】根据题意假设出商品的进货价,从而可以表示出提高后的价格为(1+100%)x,再根据以6折优惠售出,即可得出符合题意的方程,求出即可.【解答】解:设进货价为x元,由题意得:(1+100%)x×60%=60,解得:x=50,故选:D.9.(3分)若ab>0,则函数y=ax+b与函数在同一坐标系中的大致图象可能是()A.B.C.D.【分析】根据ab>0及一次函数与反比例函数图象的特点,可以从a>0,b<0和a<0,b>0两方面分类讨论得出答案.【解答】解:∵ab>0,∴分两种情况:(1)当a>0,b>0时,一次函数y=ax+b数的图象过第一、二、三象限,反比例函数图象在第一三象限,选项C符合;(2)当a<0,b<0时,一次函数的图象过第二、三、四象限,反比例函数图象在第二、四象限,无符合选项.故选:C.10.(3分)如图,直径为10的⊙A上经过点C(0,5)和点0(0,0),B是y 轴右侧⊙A优弧上一点,则∠OBC的余弦值为()A.B.C.D.【分析】首先根据圆周角定理,判断出∠OBC=∠ODC;然后根据CD是⊙A的直径,判断出∠COD=90°,在Rt△COD中,用OD的长度除以CD的长度,求出∠ODC的余弦值为多少,进而判断出∠OBC的余弦值为多少即可.【解答】解:如图,延长CA交⊙A与点D,连接OD,,∵同弧所对的圆周角相等,∴∠OBC=∠ODC,∵CD是⊙A的直径,∴∠COD=90°,∴cos∠ODC===,∴cos∠OBC=,即∠OBC的余弦值为.故选:C.11.(3分)如图,Rt△ABC中,∠C=90°,∠A=30°,AB=4,将△ABC绕点B按顺时针方向转动一个角到△A′BC′的位置,使点A、B、C′在同一条直线上,则图中阴影部分的周长是()A.4π+4B.4πC.2π+4D.2π【分析】先根据Rt△ABC中,∠C=90°,∠A=30°,AB=4求出BC及AC的长,再根据弧长的计算公式求出、的长,那么阴影部分的周长=AC+的长+A′C′+的长,将数值代入计算即可.【解答】解:∵Rt△ABC中,∠C=90°,∠A=30°,AB=4,∴∠ABC=60°,BC=AB=2,AC=BC=2,∴∠CBC′=∠ABA′=180°﹣60°=120°,∴的长==π,的长==,∴阴影部分的周长=AC+的长+A′C′+的长=2++2+π=4π+4.故选:A.12.(3分)如图,已知四边形OABC是菱形,CD⊥x轴,垂足为D,函数的图象经过点C,且与AB交于点E.若OD=2,则△OCE的面积为()A.2 B.4 C.2 D.4【分析】连接AC,已知OD=2,CD⊥x轴,根据OD×CD=xy=4求CD,根据勾股定理求OC,根据菱形的性质,S=S△OAC=OA×CD求解.△OCE【解答】解:连接AC,∵OD=2,CD⊥x轴,∴OD×CD=xy=4,解得CD=2,由勾股定理,得OC==2,由菱形的性质,可知OA=OC,∵OC∥AB,∵△OCE与△OAC同底等高,=S△OAC=×OA×CD=×2×2=2.∴S△OCE故选:C.二、填空题(本题共4小题,每小题3分,共12分.)13.(3分)因式分解:a3﹣4a=a(a+2)(a﹣2).【分析】首先提取公因式a,进而利用平方差公式分解因式得出即可.【解答】解:a3﹣4a=a(a2﹣4)=a(a+2)(a﹣2).故答案为:a(a+2)(a﹣2).14.(3分)如图,在⊙O中,圆心角∠AOB=120°,弦AB=2cm,则OA=2cm.【分析】过点O作OC⊥AB,根据垂径定理,可得出AC的长,再由余弦函数求得OA的长.【解答】解:过点O作OC⊥AB,∴AC=AB,∵AB=2cm,∴AC=cm,∵∠AOB=12O°,OA=OB,∴∠A=30°,在直角三角形OAC中,cos∠A==,∴OA==2cm,故答案为2.15.(3分)在数据1,2,3,1,2,2,4中,众数是2.【分析】根据众数的定义就可以求解.【解答】解:众数是一组数据中出现次数最多的数据,本组数据中3和4各出现1次,1出现2次,2出现3次.出现次数最多的是2,所以众数是2.故填2.16.(3分)在△ABC中,AB=6,AC=8,BC=10,P为边BC上一动点,PE⊥AB于E,PF⊥AC于F,M为EF中点,则AM的最小值为 2.4.【分析】根据已知得当AP⊥BC时,AP最短,同样AM也最短,从而不难根据相似比求得其值.【解答】解:∵四边形AFPE是矩形∴AM=AP,AP⊥BC时,AP最短,同样AM也最短∴当AP⊥BC时,△ABP∽△CAB∴AP:AC=AB:BC∴AP:8=6:10∴AP最短时,AP=4.8∴当AM最短时,AM=AP÷2=2.4.三、解答题(满分52分)17.(6分)计算:()﹣1﹣|﹣2+tan45°|+(﹣1.41)0.【分析】把()﹣1==3,tan45°=1代入计算,任何不等于0的数的0次幂都等于1.【解答】解:原式==3﹣(2﹣)+1=2+.18.(6分)先化简,再求值:,其中x=2.【分析】先把除法运算转化为乘法运算,而做乘法运算时要注意先把分子、分母能因式分解的先分解,然后约分.再把x的值代入求值.【解答】解:原式=,当x=2时,原式=1.19.(8分)某校为了解九年级学生体育测试情况,以九年级(1)班学生的体育测试成绩为样本,按A,B,C,D四个等级进行统计,并将统计结果绘制成如下的统计图,请你结合图中所给信息解答下列问题:(说明:A级:90分~100分;B级:75分~89分;C级:60分~74分;D级:60分以下)(1)请把条形统计图补充完整;(2)样本中D级的学生人数占全班学生人数的百分比是;(3)扇形统计图中A级所在的扇形的圆心角度数是;(4)若该校九年级有500名学生,请你用此样本估计体育测试中A级和B级的学生人数约为人.【分析】(1)利用A类有10人,占总体的20%,求出总人数,再求出D级的学生人数;(2)利用各部分占总体的百分比之和为1,即可求出D级的学生人数占全班学生人数的百分比;(3)利用A级所占的百分比即可求出A级所在的扇形的圆心角度数;(4)用样本估计总体,利用样本中A、B级所占的百分比及可求出A级和B级的学生人数.【解答】解:(1)读图可得:A类有10人,占总体的20%,所以总人数为10÷20%=50人,则D级的学生人数为50﹣10﹣23﹣12=5人.据此可补全条形图;(2)在扇形统计图中,因为各部分占总体的百分比之和为1,所以D级的学生人数占全班学生人数的百分比是1﹣46%﹣24%﹣20%=10%;(3)读扇形图可得:A级占20%,所在的扇形的圆心角为360°×20%=72°;(4)读扇形图可得:A级和B级的学生占46%+20%=66%;故九年级有500名学生时,体育测试中A级和B级的学生人数约为500×66%=330人.20.(8分)如图,在△ABC中,BE是它的角平分线,∠C=90°,D在AB边上,以DB为直径的半圆O经过点E,交BC于点F.(1)求证:AC是⊙O的切线;(2)已知sinA=,⊙O的半径为4,求图中阴影部分的面积.【分析】(1)连接OE.根据OB=OE得到∠OBE=∠OEB,然后再根据BE是△ABC 的角平分线得到∠OEB=∠EBC,从而判定OE∥BC,最后根据∠C=90°得到∠AEO=∠C=90°证得结论AC是⊙O的切线.(2)连接OF,利用S阴影部分=S梯形OECF﹣S扇形EOF求解即可.【解答】解:(1)连接OE.∵OB=OE∴∠OBE=∠OEB∵BE是∠ABC的角平分线∴∠OBE=∠EBC∴∠OEB=∠EBC∴OE∥BC∵∠C=90°∴∠AEO=∠C=90°∴AC是⊙O的切线;(2)连接OF.∵sinA=,∴∠A=30°∵⊙O的半径为4,∴AO=2OE=8,∴AE=4,∠AOE=60°,∴AB=12,∴BC=AB=6,AC=6,∴CE=AC﹣AE=2.∵OB=OF,∠ABC=60°,∴△OBF是正三角形.∴∠FOB=60°,CF=6﹣4=2,∴∠EOF=60°.∴S梯形OECF=(2+4)×2=6.S扇形EOF==∴S阴影部分=S梯形OECF﹣S扇形EOF=6﹣.21.(8分)现计划把甲种货物1240吨和乙种货物880吨用一列货车运往某地,已知这列货车挂在A、B两种不同规格的货车厢共40节,使用A型车厢每节费用为6000元,使用B型车厢每节费用为8000元.(1)设运送这批货物的总费用为y万元,这列货车挂A型车厢x节,试定出用车厢节数x表示总费用y的公式.(2)如果每节A型车厢最多可装甲种货物35吨和乙种货物15吨,每节B型车厢最多可装甲种货物25吨和乙种货物35吨,装货时按此要求安排A、B两种车厢的节数,那么共有哪几种安排车厢的方案?【分析】(1)这列货车挂A型车厢x节,则挂B型车厢(40﹣x)节,从而可得出y与x的表达式;(2)设A型车厢x节,则挂B型车厢(40﹣x)节,根据所装的甲货物不少于1240吨,乙货物不少于880吨,可得出不等式组,解出即可.【解答】解:(1)y=0.6x+0.8(40﹣x)=﹣0.2x+32;(2)设A型车厢x,节,则挂B型车厢(40﹣x)节,由题意得:,解得:24≤x≤26,故有三种方案:①A、B两种车厢的节数分别为24节、16节;②A型车厢25节,B型车厢15节;③A型车厢26节,B型车厢14节.22.(8分)如图1,边长为2的正方形ABCD中,E是BA延长线上一点,且AE=AB,点P从点D出发,以每秒1个单位长度沿D→C→B向终点B运动,直线EP交AD 于点F,过点F作直线FG⊥DE于点G,交AB于点R.(1)求证:AF=AR;(2)设点P运动的时间为t,①求当t为何值时,四边形PRBC是矩形?②如图2,连接PB.请直接写出使△PRB是等腰三角形时t的值.【分析】(1)依题意可知AD=AE,∠DAE=90°,则∠DEA=45°,在△ERG中,RG ⊥DE,则∠FRA=45°,可证AF=AR;(2)①当四边形PRBC是矩形时,则有PR∥BC,AF∥PR,可证△EAF∽△ERP,利用相似比求AR,而AR=DP=t,由此求t的值;②当△PRB是等腰三角形时,PC=2BR,列方程求t的值.【解答】(1)证明:如图,在正方形ABCD中,AD=AB=2,∵AE=AB,∴AD=AE,∴∠AED=∠ADE=45°,又∵FG⊥DE,∴在Rt△EGR中,∠GER=∠GRE=45°,∴在Rt△ARF中,∠FRA=∠AFR=45°,∴∠FRA=∠RFA=45°,∴AF=AR;(2)解:①如图,当四边形PRBC是矩形时,则有PR∥BC,∴AF∥PR,∴△EAF∽△ERP,∴,即:由(1)得AF=AR,∴,解得:或(不合题意,舍去),∴,∵点P从点D出发,以每秒1个单位长度沿D→C→B向终点B运动,∴(秒);②若PR=PB,过点P作PK⊥AB于K,设FA=x,则RK=BR=(2﹣x),∵△EFA∽△EPK,∴,即:=,解得:x=±﹣3(舍去负值);∴t=(秒);若PB=RB,则△EFA∽△EPB,∴=,∴,∴BP=AB=×2=∴CP=BC﹣BP=2﹣=,∴(秒).综上所述,当PR=PB时,t=;当PB=RB时,秒.23.(8分)如图1,已知抛物线y=ax2﹣2ax+4与x轴交于A、B两点,与y轴交于点C,且OB=OC.(1)求抛物线的函数表达式;(2)若点P是线段AB上的一个动点(不与A、B重合),分别以AP、BP为一边,在直线AB的同侧作等边三角形APM和BPN,求△PMN的最大面积,并写出此时点P的坐标;(3)如图2,若抛物线的对称轴与x轴交于点D,F是抛物线上位于对称轴右侧的一个动点,直线FD与y轴交于点E.是否存在点F,使△DOE与△AOC相似?若存在,请求出点F的坐标;若不存在,请说明理由.【分析】(1)令x=0得,y=4,求出点C (0,4),根据OB=OC=4,得到点B (4,0)代入抛物线表达式求出a 的值,即可解答;(2)过点M 作MG ⊥x 轴于G ,过点N 作NH ⊥x 轴于H ,设P (x ,0),△PMN 的面积为S ,分别表示出PG=,MG=,PH=,NH=,根据S=S 梯形MGHN ﹣S △PMG ﹣S △PNH =,利用二次函数的性质当x=1时,S 有最大值是,即可解答; (3)存在点F ,使得△DOE 与△AOC 相似.有两种可能情况:①△DOE ∽△AOC ;②△DOE ∽△COA ,先求出点E 的坐标,再求出直线DE 的解析式,利用方程组求出点F 的坐标,即可解答.【解答】解:(1)令x=0得,y=4,∴C (0,4)∴OB=OC=4,∴B (4,0)代入抛物线表达式得:16a ﹣8a +4=0,解得a=∴抛物线的函数表达式为(2)如图2,过点M 作MG ⊥x 轴于G ,过点N 作NH ⊥x 轴于H ,由抛物线得:A (﹣2,0),设P (x ,0),△PMN 的面积为S ,则PG=,MG=,PH=,NH=∴S=S 梯形MGHN ﹣S △PMG ﹣S △PNH===∵,∴当x=1时,S有最大值是∴△PMN的最大面积是,此时点P的坐标是(1,0)(3)存在点F,使得△DOE与△AOC相似.有两种可能情况:①△DOE∽△AOC;②△DOE∽△COA由抛物线得:A(﹣2,0),对称轴为直线x=1,∴OA=2,OC=4,OD=1①若△DOE∽△AOC,则∴,解得OE=2∴点E的坐标是(0,2)或(0,﹣2)若点E的坐标是(0,2),则直线DE为:y=﹣2x+2解方程组得:,(不合题意,舍去)此时满足条件的点F1的坐标为(,)若点E的坐标是(0,﹣2),同理可求得满足条件的点F2的坐标为(,)②若△DOE∽△COA,同理也可求得满足条件的点F3的坐标为(,)满足条件的点F4的坐标为(,)综上所述,存在满足条件的点F,点F的坐标为:F 1(,)、F 2(,)、F 3(,)或F 4(,).。
2015年深圳中考模拟题(二)参考答案一.选择题:1.C;2.B;3.D;4.C;5.C;6.C;7.C;8.D;9.B;10.A;11.D;12.A. 二.填空题:13.a(a-1)²;14.8;15.①③④;三.解答题:17.解:原式=16252929⨯-)=18. 解:÷(x+1﹣)=÷[﹣]=÷=×=当x=﹣2时,原式==.19.(1)100;40%. (2)体育人数为30;(3)800.20.(1证明:∵四边形ABCD是正方形,∴∠ABC=90°,AB=BC,∵BE⊥BF,∴∠FBE=90°,∵∠ABE+∠EBC=90°,∠CBF+∠EBC=90°,∴∠ABE=∠CBF,在△AEB和△CFB中,∴△AEB≌△CFB(SAS),∴AE=CF.(2)解:∵AB=BC=FC=8,∴由勾股定理得BF=4=BE,再由勾股定理得∵BE=BF,∠EBF=90°,∴∠BEF=∠BFE=45°,∵∠BFC=∠BEA=90°,∴∠EFC=∠BEF=45°,∴BE∥FC,∴4182BE EGFC GF===,∴GF=2321. 解:(1)设乙工程队单独完成这项工作需要a天,由题意得+36()=1,解得a=80,经检验a=80是原方程的解.答:乙工程队单独做需要80天完成;(2)∵甲队做其中一部分用了x天,乙队做另一部分用了y天,∴=1 即y=80﹣x,又∵x<46,y<52,∴,解得42<x<46,∵x、y均为正整数,∴x=45,y=50,答:甲队做了45天,乙队做了50天.22.(1)解:A(12,0),B(0,12),∴OA=OB=12,∴∠OBA=∠OAB=45°,∵DC⊥OB,∴∠OBA=∠BDC=45°,∴DC=BC.令DC=BC=a,则OC=12-a,∴S△DOC=12OC·CD=a(12-a)=16,解得:124,8a a==,∵DC<CO,∴DC=4,OC=8,∴D(4,8).(2)过点P作PM⊥OQ于点M,∵PQ=PO,∴.∴.∵CP=4t,∴PO=8-4t,∵cos∠MOP=OM OCOP OD=8(84)t=-,解得:t=3221.∴当t=3221时,△POQ是以OQ 为底边的等腰三角形.(3)连接DN.∵DO是⊙O的直径,∴∠DNO=90°,∵∠DOM=45°,DN=NO= ==DOM=∠DOA=45°,∠MDO=∠ODA,∴△MDO∽△ODA,∴MO DOOA DA=,∵AB=BD===,∴AD=,又∵DO=4∴MO= DO OADA⋅==MN=MO-23. 解:(1)∵点A、B是抛物线y=x2与直线y=﹣x+的交点,∴x2=﹣x+,解得x=1或x=﹣.当x=1时,y=1;当x=﹣时,y=,∴A(﹣,),B(1,1).(2)∵点P(﹣2,t)在直线y=﹣2x﹣2上,∴t=2,∴P(﹣2,2).设A(m,m2),如答图1所示,分别过点P、A、B作x轴的垂线,垂足分别为点G、E、F.∵PA=AB,∴AE是梯形PGFB的中位线,∴GE=EF,AE=(PG+BF).∵OF=|EF﹣OE|,GE=EF,∴OF=|GE﹣EO|∵GE=GO﹣EO=2+m,EO=﹣m ∴OF=|2+m﹣(﹣m)|=|2+2m| ∴OF=2m+2,∵AE=(PG+BF),∴BF=2AE﹣PG=2m2﹣2.∴B(2+2m,2m2﹣2).∵点B在抛物线y=x2上,∴2m2﹣2=(2+2m)2解得:m=﹣1或﹣3,当m=﹣1时,m2=1;当m=﹣3时,m2=9∴点A的坐标为(﹣1,1)或(﹣3,9).(3)∵△AOB的外心在边AB上,∴AB为△AOB外接圆的直径,∴∠AOB=90°.设A(m,m2),B(n,n2),如答图2所示,过点A、B分别作x轴的垂线,垂足为E、F,则易证△AEO∽△OFB.∴,即,整理得:mn(mn+1)=0,∵mn≠0,∴mn+1=0,即mn=﹣1.设直线m的解析式为y=kx+b,联立,得:x2﹣kx﹣b=0.∵m,n是方程的两个根,∴mn=﹣b.∴b=1.设直线m与y轴交于点D,则OD=1.易知C(0,﹣2),OC=2,∴CD=OC+OD=3.∵∠BPC=∠OCP,∴PD=CD=3.设P(a,﹣2a﹣2),过点P作PG⊥y轴于点G,则PG=﹣a,GD=OG﹣OD=﹣2a﹣3.在Rt△PDG中,由勾股定理得:PG2+GD2=PD2,即:(﹣a)2+(﹣2a﹣3)2=32,整理得:5a2+12a=0,解得a=0(舍去)或a=﹣,当a=﹣时,﹣2a﹣2=,∴P(﹣,).。
绝密★启用前试卷类型:A 2015年深圳市高三年级第二次调研考试语文试题2015. 4本试卷共10页,包括六个部分24小题,满分150分。
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一、本大题4小题,每小题3分,共12分。
1.下列词语中加点的字,每对读音都不相同...的一组是()A.拱.手/供.述揭.榜/劫.难强.行/强.制B.湛.蓝/斟.酌憋.闷/别.扭量.力/量.刑C.杠.杆/内讧.舐.犊/伺.机螳臂当.车/安步当.车D.精粹./猝.然稽.查/畸.形冠.冕堂皇/张冠.李戴2.下面语段中画线的词语,使用不恰当...的一项是()羊年的春节,派发微信红包成为让老百姓大快人心的问候新方式。
诚然,互联网红包的走俏和盛行捕捉到了大众的心理与趣味,却在一定程度上冲淡了传统节庆的味道,模糊了传统红包那份真挚祝福、祝愿的内涵,使得人与人之间多了小屏幕上的互动,少了现实中的交流。
其实,任何一种新民俗若不能稳固亲情,恐怕只会昙花一现。
A.大快人心B.诚然C.冲淡D.昙花一现3.下列句子中,没有..语病的一项是()A.在“一带一路”国家战略影响下,未来5年,中国对外投资将超过5000亿美元以上,出境游客数量约5亿人次,周边国家以及丝绸之路沿线国家将率先受益。
绝密★启用前2015届广东省宝安中学高三模拟考试语文试卷(带解析)试卷副标题考试范围:xxx ;考试时间:117分钟;命题人:xxx学校:___________姓名:___________班级:___________考号:___________注意事项.1.答题前填写好自己的姓名、班级、考号等信息 2.请将答案正确填写在答题卡上第I 卷(选择题)一、选择题(题型注释)1、把下列句子组成语意连贯的语段,排序最恰当的一项是( ) ①才会有效遏制住当前频频发生的非伤即亡的暴力征收拆迁事件 ②而且,依法执政本就是行政机关的天然职责 ③只有追究非法拆迁人背后的雇主责任④才能使本就是出于行政行为的行政机关担当起职责⑤他们不能为了避免与被征收拆迁人之间发生矛盾冲突就私下把职责转给开发商或拆迁公司⑥而不是让那些直接施暴者当替罪羊了事③④⑥①②⑤ B .③⑥④①②⑤ C .③④①②⑤⑥ D .②⑤③⑥①④2、下列句子,没有语病的一项是( )A .业内人士分析,三精制药目前这种“广告+开会”的营销模式面临着众多挑战,未来能否实现业绩提升还存在着不确定性。
B .尼泊尔发生强烈地震后,我国立即派出了包括地震局12人、北京军区某工兵团40试卷第2页,共12页人、武警总医院10人在内的62名队员组成的中国国际救援队。
C .《朝日新闻》民意调查结果显示,60%的日本受访者认为安倍政权的执政姿态有损东亚地区的和平与稳定,比去年上升9%。
D .我们大家都知道,人的需求是有不同层次的,生命如果沉湎于欲望的层次,那么人的理想境界是无法真正开掘出来的。
3、下面语段中画线的词语,使用不恰当的一项是( )你们有我们不曾有的机遇,但也有我们不曾经历的挑战。
文学理论无法识别毒奶粉的成分,古典文献挡不住地沟油的泛滥。
当利益成为唯一的价值标准,很多人把信仰、理想、道德都当成交易的筹码,我很担心,怀疑会不会成为我们时代否定一切、解构一切的粉碎机?我们会不会因为心灰意冷而固步自封,变成钱理群先生所言“精致利己主义”,世故老道,善于表演,懂得配合?泛滥 B .筹码 C .心灰意冷 D .固步自封4、下列词语中加点的字,每对读音都不相同的一组是( ) A .河畔/绊倒角隅/丰腴雇佣/佣金 B .沏茶/堆砌挟持/携手果实累累/罪行累累 C .沉疴/坎坷囹圄/揶揄症结/症状 D .践踏/饯别怂恿/悚然弹冠相庆/沐猴而冠第II卷(非选择题)二、作文(题型注释)5、阅读下面的文字,根据要求作文。
2015年深圳市高三年级第二次调研考试文科综合·地理 2015.41.监测雾霾分布最适合采用的地理信息技术是A .全球定位系统(GPS )B .地理信息系统(GIS )C .遥感(RS )D .数字地球(DE )2.图1表示我国某省多年平均水分盈亏量(盈亏量=降水量-蒸发量)年内逐月变化。
该省最可能是A .广东B .甘肃C .河南D .黑龙江 3.城市广泛采用种植草木的绿色屋顶,将 A .减少城区蒸发量 B .增大城区地表径流量 C .增大城区地下径流量 D .减弱城区热岛效应4.图2是某摄影爱好者镜头朝正北方向拍摄的新月形沙丘照片。
根据沙丘形态判断,该地盛行A .东南风B .西北风C .东北风D .西南风5.读图3,分析判断造成20°N~40°N与20°S~40°S人口比重巨大差异的主要原因是A .气候差异B .地形差异C .洋流差异D .海陆分布差异6.位于天山南麓的博斯腾湖是新疆面积最大的湖泊,近年湖水水位下降明显。
图4是博斯腾湖等深线图。
关于博斯腾湖的叙述,正确的是A. 湖水主要参与海陆间循环B. 该湖西部比东部的湖底坡度大C. 主要补给水源是雨水D. 湖泊水位降低时西侧湖底露出面积较大7.北半球春分日北京时间8时,此刻位于180°经线与赤道交点上空的宇航员看到的地球昼夜范围是A .全部是白昼B .夜大于昼C .昼大于夜D .昼夜各半8.图5是“2012年我国各省份钢铁产业与市场的空间耦合度示意图”(耦合度越大则钢铁产量与消费量匹配程度越好)。
下列说法正确的是人口比重按纬度分布 图 3-10-8 -12 -6-14m-4-2 0 86°50′E 87°00′E 87°10′E 87°20′E 图4A. 从生产、消费角度看,吉林的钢铁产业布局最为合理B. 广东耦合度低是因为钢铁产量远大于市场需求量C. 环渤海地区耦合度低是因为钢铁产量远小于市场需求量D. 我国钢铁工业应大量向内地转移9.图6 表示我国2014 年12 月3 日至5 日0℃等温线位置变化,此变化说明该时段A .气温持续上升B .有强冷空气南下C .甲地比乙地受冷空气影响强烈,降温剧烈D .0℃等温线东段一直位于秦岭淮河一线 10.西藏旅游资源丰富而独特,但也是我国高风险旅游区。
2015年深圳高三年级第二次调研考试本试卷三大题,满分135分。
考试用时120分钟。
Ⅰ语言知识及应用(共两节.满分45分)第一节完形填空(共l5小题;每小题2分.满分30分)A recent study by Dr. Martin Wang of Taiwan Student Center showed that there has been a decrease in TV watching among students, instead of watching TV, students are now playing video games and using the Internet more. In the l , Dr. Wang surveyed students throughout Taiwan in 2014. He asked them what they did in their spare time. The data was compared to a 2 survey he did in 2013. "Although students are watching 3 TV, they are still playing indoors." said Dr. Wang. "We saw a big 4 in surfing the Internet and playing video games."Dr. Wang found students watch TV 5 ten percent less, but they play video games five percent more and surf the Internet eight percent more. Some experts believe the trend is 6 Video games and Internet surfing have both been 7 to increase intelligence. However, Dr. Wang warned there are some side 8 . For example, using computer too much may cause students to become nearsighted. Furthermore, the more students 9 indoors, the less they exercise.The study indicated that two percent less students list playing sports as their favorite 10 . "The lack of exercise can cause depression (沮丧) and weight 11 ," said Dr. Wang.In addition, students may become clumsier.Though the study proved that students are 12 more, Dr. Wang thought that this is misleading. Most students are not reading novels. 13 , they are reading Japanese cartoon books. Dr. Wang pointed out that most students, after doing their homework, are too tired to read 14 books. Dr. Wang suggested that Taiwan schools should 15 the amount of homework for students so that they may have adequate time to read and exercise.1. A. school B. class C. center D. study2. A. recent B. similar C. new D. latter3. A. less B. more C, fewer D. better4. A. increase B. pressure C. gap D. decline5. A. gradually B. sharply C. nearly D. rapidly6. A. subjective B. positive C. negative D. sensitive7. A. changed B. decided C. ignored D. shown8. A. reasons B. benefits C. effects D. aspects9. A. gather B. refuse C. wait D. stay10. A. activity B. subject C. instrument D. work11. A. decrease B. loss C. gain D. record12. A, reading B. playing C. thinking D. learning13. A. Therefore B. Instead C, Somehow D. Anyway14. A. funny, B. simple C. amusing D. serious15. A. enlarge B. bargain C. reduce D. measure第二节语法填空(共l0小题;每小题l.5分,满分l5分)A rich man wanted to have a wonderful wedding for his daughter, and wanted the wedding to be famous. 16 he invited the best musicians to make wonderful music and the best cooks to make good food. He also invited a shoemaker, because he was the 17 (wise) man in town, and ifhe will come, the wedding will be famous!The shoemaker came to the city for the first time. It 18 (rain) at that time and the streets were full of holes, 19 were full of water. Unfortunately he fell into a hole; getting out of the hole, he was wet and dirty.He went 20 (hurry) to the house of the rich man. The servants opened the door and saw him. They said, "Go away! No beggars today. It's the daughter's wedding: and it'll be 21 famous one !"He went to another rich man's house, washed himself and borrowed some fine clothes and boots. Then he went to the wedding. Everyone was happy 22 (see) him. But he poured the wine into the pocket of his coat, the soup into his boots, put the meat and vegetables into the pocket of 23 trousers.Suddenly the rich man shouted, "Are you crazy? Are you a wise man 24 a fool?""Oh, I'm sorry, Sir. You see, I came twice this morning; the only difference was my clothes! I thought you had invited my clothes 25 dinner! So I fed my clothes!"Ⅱ阅读(共两节,满分50分)第一节阅读理解(共20小题;每小题2分,满分40分)ASeveral years ago, when I worked in Los Angeles, I met one l0-year-old boy who wanted to study judo despite the fact that he had lost his left arm in a disastrous car accident.The boy began lessons with an old Japanese judo master. The boy was doing well, so he couldn't understand why, after three months of training, the master had taught him only one move."Master," the boy finally said, "Shouldn't I be learning more moves?""This is the only move you know, but this is the only move you'll ever need to know," the master replied.Not quite understanding, but believing in his master, the boy kept training.Several months later, the master took the boy to his first tournament. Surprising himself, the boy easily won his first two matches. The third match proved to be more difficult, but after some time, his opponent (对手) became impatient and charged; the boy quickly and cleverly used his one move to win the match. Still amazed by his success, the boy was now in the finals.This time, his opponent was bigger, stronger, and more experienced. For a while, the boy appeared to be beaten. Concerned that the boy might get hurt, the referee called a time-out. He was about to stop the match when the master interrupted."No," the master insisted, "Let him continue."Soon after the match continued, his opponent made an obvious mistake: he dropped his guard. Instantly, the boy used his move to hit him to the ground. The boy had won the match and the tournament. He was the champion.On the way home, the boy and the master reviewed every move in each and every match. Then the boy gathered the courage to ask what was really on his mind."Master, how did i win the tournament with only one move? ""You won for two reasons," the master answered. "First," you've almost mastered one of the most difficult throws in all of judo. And second; the only known defense for that move is for your opponent to grasp your left arm."26. What happened to the boy in a terrible car accident?A. He lost one of his arms. B, He met his judo master.C. He was taught a lesson.D. He learned an important move.27. How did the boy feel after three months' training?A. Thoughtful and hopeful.B. Puzzled, but believing.C. Understanding and diligent.D. Doubtful but happy.28. Why did the master stop the referee to have a time-out in the final match?A. Because he was strict and cruel.B. Because he thought it ridiculous.C. Because he had faith in his student.D. Because he wanted the boy to be beaten.29. According to the passage the boy succeeded because of_____A. wide imagination and long-time practiceB. great ambition and sincere truthfulnessC. correct guidance and strong determinationD. serious concern and considerable character30. What does the author want to tell us in the passage?A. There is nothing difficult in the world for us.B. Never look down upon your opponent.C. It is important to grasp chance in your life.D. Weakness can become one's strength.BThe Spring Festival holiday is supposed to be a period of time entirely for family reunion. However, as people's enthusiasm for digital hongbao increased, the amount of time they spend with family members during the holiday decreases. There has been widespread criticism(批评) over digital hongbao that it has alienated family reunion."I used to discuss programs in the Spring Festival Gala (春晚) with my family members, but this year, I barely had time to watch the gala because I was staring at my cellphone all the time," said Kang, a 30-year-old radio station editor. "I went to karaoke with my cousins during the holiday, and 1 was grasping digital hongbao the whole time, even when I was singing karaoke.""On the last day of the holiday, I started to regret spending too much time on these digital hongbao. Therefore, instead of fighting for hongbao, I watched TV with my morn that night. I left home feeling so sorry! I should have spent more time with my parents."But Kang said regret came with a sense of achievement when he managed to bring classmates together."Next year, I will still play this game, but with less money and for a smaller amount of time," Kang said.Dong Chenyu, a teacher from Beijing Foreign Studies University, said it's unfair to blame hongbao for destroying family reunion."When television was invented, people accused it of standing in the way of face-to-face human communication. The same accusation came up on telephone and text message services when they were first invented. The same goes with digital hongbao,'" Dong said."It does nothing but offers a new way of human communication. The rest is people's choice. As long as no one expects to earn money from this and takes this as a means of gambling ( 赌博) , it's a good way to improve human connections," Dong said.31. The underlined word "alienated" in Paragraph 1 most probably meansA. improvedB. separatedC. encouragedD. reserved32. How did Mr. Kang feel about digital hongbao according to Paragraph 2?A. He felt regretted spending too much money.B. He was happy to spend too much of his time.C. He had a strong preference for it.D. He felt a sense of guilty in getting it.33. From the underlined sentence we know that Mr. Kang feltA. both regretted and successfulB. either regretted or successfulC. not only happy but also satisfiedD. not pleased but stressed34.What can we infer from what Mr, Dong said about digital hongbao?A. It will bring us trouble in holiday reunion.B. It will be out of fashion in near future.C. Lots of people will use it to earn money.D. Mr. Dong is in favour of digital hongbao.35. Which of the following is the best title of the passage ?A. Spring Festival ReunionB. Double-edged SwardC. New Holiday EnthusiasmD. Family Reunion DestructionCIf you want to express something so unbelievable that it must have been a special effect, you have a new word to add to your vocabulary.It's "'Duang", an onomatopoetic (拟声词) word which doesn't relate to any particular Chinese character and refers to a special effect.A video parody (恶搞) adapted from a shampoo commercial featuring Hong Kong actor Jackie Chan spread quickly online, leading Internet users to invent the new word.The video begins with Chan flashing his black, smooth hair, which would have been perfect except that it was not his real hair.Next, a self-satisfied Chan admits, to the repetitive, rhythmical sounds of "Duang", "I refused to approve of this product when they first came to me because of my thin hair, but the director insisted, saying special effects could be used to make my hair look healthy on the screen. Now you see, it's all special effects. It's not real."The original advertisement became the target of punishment by the government for over- spreading the effects of the shampoo after it was broadcast in 2004."Duang" has now become one of the hottest topics on Sina Weibo, a Twitter-like Chinese social network site among those crazy ones imitating Jackie Chan's speech in different situations.The actor's Weibo account was flooded with comments containing the word in this sweeping online trend.The video came at a time when the famous movie star has been under public attention after trying to save the ill image of his son, Jaycee Chan, who was released from prison this week.Data from Baidu, the major Chinese search engine, also proved the phrase's popularity as it has been searched more than 586,000 times within two days.The word of geili's sudden rise in 2010 caught the attention of international media when it made up for the word's official translation-geilivable-to describe something cool or awesome.It's not the first time that online word has become a regular vocabulary in China.36. From the passage we know that the word "Duang" was originally madeA. by some crazy Internet usersB. to refer to a kind of productC. by Hong Kong actor Jackie ChanD. to express some special meaning37. Why do the public parody Jackie Chan's advertisement of shampoo?A. Because they think it right to do so.B. Because they don't like Jackie Chan,C. Because his son was put in prison,D. Because its effect is over-spread.38. What's the situation about the new word "Duang" now?A. The word can only be used on the Internet,B. People can use it freely to express any idea.C. It can be used in any situation to express surprise.D. It is widely used in advertisements about shampoo.39. From the passage we know that the new word "geili " isA. only popular in ChinaB. a cool and awesome wordC. used by ordinary peopleD. also widely used abroad40. What is the purpose of the author in writing the passage?A. To tel1 us online words have enriched Chinese vocabulary.B. To teach all the internet users how to invent new words.C. To explain how Jackie Chan invented the popular word.D. To urge people to fight against the false advertisements.DLast year I wrote an article discussing the significance of Amazon for investors (投资者) and the global economy. I argued that finding transformative companies at a very early stage and owning them through to maturity is central to investment success. This requires time and patience; even great companies have hard times. But it is the finding big potential companies of the future that is most attractive. Their occurrence is not random. They are concentrated by department, geography and especially management ideas. I suggested a year ago that the next great global company was Alibaba.Today Alibaba's market value is around $250 billion--or a bit more than Bp and Glaxo companies combined.As Tolstoy's famous saying "All happy families are alike" goes, Alibaba displays characteristics that are quite common among great companies. They have founders with the ability to make plans for the future with a clear purpose. Alibaba is unimaginable without Jack Ma. He is now China's richest man but more significantly the dreamer who convinced 17 questioning friends. And he successfully made us accept the leading place of e-commerce from his Hangzhou apartment.Like all the great companies, Alibaba pays little attention to immediate interests, as Ma remarks: "Customers first, employees second, and shareholders third." His ambitions are almost boundless.Alibaba is the symbol of the transformation of China. Alibaba's marketplace produced 14.5 billion orders in half a year. The company is still growing 50% year on year. Its sales amount is bigger than those of Amazon and eBay companies combined. China is not imitating but jumping ahead. Alibaba, Tencent and Baidu are well located among the world's top 10 Internet companies. The east coast of China is the only global competitor to the West coast of America, It is no wonder that Mark Zuckerberg, the CEO of Facebook, has taught himself to speak Chinese.41. According to Paragraph 1, the key to successful investment isA. to find transformative companiesB. to have enough investment capitalC. to overcome all kinds of difficultiesD. to have rich investment experience42. What is the most important point in finding big potential companies of the future?A. Developing department.B. Favorable location.C. Management ideas.D. A large sum of capital.43. What does it mean by using Tolstoy's saying "All happy families are alike" ?A. Alibaba has the same characteristics as other famous companies,B. Alibaba has the same size and staff as other famous companies.C. Alibaba has the same happy life as other famous companies.D. Alibaba has the same apartments as other famous companies.44. From the last paragraph we know that in the period of transformationA. Alibaba becomes the richest in the worldB. Internet companies are much more popularC. Alibaba becomes the competitor of TencentD. Chinese companies are growing more powerful45. Why does Mark Zuckerberg learn to speak Chinese?A. Because he wants to do some research about Chinese.B. Because he has noticed the rise of Chinese companies.C. Because he wants to become one of the top 10 in China.D. Because he wants to follow the example of Alibaba.第二节信息匹配(共5小题;每小题2分,满分l0分)首先,请阅读下列城市提供服务的一些机构及其服务内容:AThe President's Higher Education Community Servic e − Honor Roll,launched in 2006, annually highlights the role that colleges and universitiesplay in solving community problems, such as building up students'confidence, creative abilities and placing more students on a lifelong pathof civic engagement.BDays of Service, one of the Corporation for National and CommunityService (CNCS) makes the effort to encourage Americans to volunteer intheir communities in memory of Martin Luther King. On these days ofservice, CNCS provides tools and resources for organizations andindividuals to become engaged in service activities.CThe Community Child Car Program is a comprehensive program which combines child care services, child development services, child mental health services, and family support services for low-income families. The program also enables these parents to work or attend school or job training,DNeighborhood Partnerships Office is a part of our effort to provideopportunities for Americans of all ages and backgrounds to give back andserve in their communities. It helps repair houses, ensuring that thesegroups have the abilities, tools, and volunteer resources they need to helpour communities.EFamily Service of Santa Monica is always offering professionalteam that truly makes a difference in the life of abused children inour communities. For children suffering from family violence, italso offers a place where they can live a peaceful life and learnmore, it also offers help for children who are disabled or ill.FCommunity Services assists you in growing your family throughadoption. It was set up in 1948, which is one of the country'slargest non-profit adoption services. It helps over 200 childreneach year find comfortable homes and foster adoptionopportunities both at home and abroad.请将下面寻求服务的市民与他们所需要的服务机构进行匹配:46.Jackson once worked for the President's Higher Education Community Service--Honor Roll.Since he is proud of black people, especially Martin Luther King, now he would like to work for Days of Service.47.Jack is a clerk in a big company while his wife is a cleaner. They are too busy to look after theirtwo-year-old daughter, so they look for someone else with child care experience to look after her. However, they are not well-paid.48.Peter is an art student who lacks confidence. He is very shy and always follows others. Heseldom tries to create anything new because he thinks he is unable to make it. Now, his parents desire to find role models to inspire him.49. Tom Wilton got married 5 years ago. However, his wife lost the ability of giving birth after shegot a serious illness. Now they want badly to adopt a child to make their family complete. But they have no idea where and how to get a child as they need.50. Eddy was born in a poor family. His father is always drunk and beats him while his mother cando nothing but complain. Though he is eager to receive a good education, he has no chance to go to school. He wishes to live in a peaceful place where he is cared and respected.第一节基础写作(共1小题,满分15分)你接受一项写作任务,要为英语校报写一篇通讯。
2015年深圳市高三年级第二次调研考试语文试题 2015. 4一、本大题4小题,每小题3分,共12分。
1.下列词语中加点的字,每对读音都不相同的一组是()A.拱.手/供.述揭.榜/劫.难强.行/强.制B.湛.蓝/斟.酌憋.闷/别.扭量.力/量.刑C.杠.杆/内讧.舐.犊/伺.机螳臂当.车/安步当.车D.精粹./猝.然稽.查/畸.形冠.冕堂皇/张冠.李戴2.下面语段中画线的词语,使用不恰当的一项是()羊年的春节,派发微信红包成为让老百姓大快人心的问候新方式。
诚然,互联网红包的走俏和盛行捕捉到了大众的心理与趣味,却在一定程度上冲淡了传统节庆的味道,模糊了传统红包那份真挚祝福、祝愿的内涵,使得人与人之间多了小屏幕上的互动,少了现实中的交流。
其实,任何一种新民俗若不能稳固亲情,恐怕只会昙花一现。
A.大快人心 B.诚然 C.冲淡 D.昙花一现3.下列句子中,没有语病的一项是()A.在“一带一路”国家战略影响下,未来5年,中国对外投资将超过5000亿美元以上,出境游客数量约5亿人次,周边国家以及丝绸之路沿线国家将率先受益。
B.亚洲基础设施投资银行不仅将经济增长动力引擎的基础设施建设,还会提高亚洲资本的利用效率及对区域发展的贡献水平。
C.2014“寻找最美乡村教师”活动继续围绕中国梦为主题开展,在推选出“最美乡村教师”的同时,特别增设一个团队奖,授予那些积极参与志愿支教的大学生团队。
D.李光耀是深谙东西方文化的政治家,他将东方的儒家文化和西方现代的法制、民主思想融合,创立了别具一格的新加坡发展模式。
4.在横线处填入下列语句,衔接最恰当的一项是()①去年刚一胜利,不用说是想回来的。
②然而我终于回来了。
③飞机过北平城上时,那棋盘似的房屋,那点缀着的绿树,那紫禁城,那一片黄琉璃瓦,在晚秋的夕阳里,真美。
④可是这一年来的情形使我回来的心淡了,想象中的北平,物价像潮水一般涨,整个的北平也像在潮水里晃荡着。
⑤回到北平来,回到原来服务的学校里,好些老工友见了面用道地的北平话道:“您回来啦!”是的,回来啦。
2015届初中物理综合卷一。
选择题1.如图1所示,站在地面上的观众看到滑翔者和鸟都飞得很快,而滑翔者感觉自己和鸟在“比翼齐飞”。
则下列说法正确的是()A、以地面为参照物,滑翔者是静止的B.以地面为参照物,鸟是静止的C、以滑翔者为参照物,鸟是运动的D.以滑翔者为参照物,鸟是静止的(自编,图片来自八上物理课本第一章引言)2.在图2中,跳伞运动员在空中匀速直线下降,下面分析正确的是()A.运动员受到的重力与运动员的手拉绳子的力是一对平衡力B.运动员受到的重力与降落伞对绳子的拉力是一对平衡力C.运动员受到的重力与降落伞的绳子对运动员的拉力是一对平衡力D.跳伞运动员在空中匀速直线下降是因为受到惯性的作用。
(自编,图片来自八下物理课本第21页)3.如图3所示,用弹簧测力计沿水平方向拉木块,使木块在水平木板上做匀速直线运动。
下列说法正确的是( )。
A.木块只受到拉力、滑动摩擦力两个力B.弹簧测力计的示数大于滑动摩擦力的大小C.木块的速度越大,滑动摩擦力越大D.在木块上再放置一个砝码,则滑动摩擦力会变大(根据八下物理课本第23-24页内容自编)4.在探究“物体动能的大小与哪些因素有关”的实验中,让同一铁球从斜面的不同高度由静止释放,撞击同一木块(如图4所示),下列说法中正确的是( )。
A.本实验研究的是木块的动能与它的质量、速度的关系。
B.在探究动能与速度的关系时,要保持小球的质量不变,让小球从相同的高度滚下,以不同的速度推动木块移动。
C.在探究动能与物体质量的关系时,要选择两个质量不同的小球,并让它们分别从同一斜面的不同高度滚下。
D.实验中通过观察木块移动的距离来比较动能大小的。
(根据八下物理课本第67-68页内容自编)5.如图5所示是农村常用的活塞式抽水机,下列说法正确的是:()A、水能够从D流向B是因为受到活塞A向上的拉的力;B、若把该抽水机放到真空中,也能把水抽上来。
C、活塞A稍高于出水口C时,装置内的水会不断地自动流出,D、因为大气压有一定的限度,因而抽水机抽水的高度也有一定的限度,不超过10.336米6.“给我一个支点和一根足够长的棍,我就能撬动整个地球.”下列生产和生活中的杠杆与阿基米德设想的杠杆属于同一类型的是:A、天平B、铁锹C、钓鱼竿D、铡刀7.下列有关说法正确的是( )A.同种电荷相互吸引,异种电荷相互排斥B.在电源外部,电子的运动方向从电源的正极流向负极C.电荷在导体中运动就会形成电流D.人体、湿木头、酸、碱、盐的水溶液都属于导体8.如图6是简化了的玩具警车的电路图,以下说法中正确的是:A.开关S1控制整个电路B.电动机与小灯泡工作时互不影响C.电动机与小灯泡工作时,通过它们的电流相等D.开关S1、S2都闭合时电动机与小灯泡是串联的9.在如图所示的实验装置中,能够用来研究电动机原理的装置是( )10.用如图7所示的实验装置探究“产生感应电流的条件”。
二模模拟试卷
一、选择题(本部分共12小题,每小题3分,共36分。
) 1.4的平方根是( )A .2 B .–2 C .±2 D .16 2.2011年8月12日,第26届世界大学生夏季运动会将在深圳开幕。
本届大运会的开幕式举办场地和主要分会场深圳湾体育中心总建筑面积达256520m 2。
数据256520m 2用科学记数法(保留三个有效数字)表示为( ) A .25m 102.565⨯ B .26m 100.257⨯ C .25m 102.57⨯ D .24m 1025.7⨯
3.下列各图是一些常用的标志图案,其中是轴对称图形但不是中心对称图形的是( )
A .
B .
C .
D . 4.下列运算中正确的是( )
A .123=-ab ab
B .6
24x ·
x x = C .532)(x x =
D .x x x 232
=÷
5.下列说法正确的是( )
A .一个游戏的中奖概率是5
1,则做5次这样的游戏一定会中奖. B .为了解深圳中学生的心理健康情况,应该采用普查的方式.
C .事件“小明今年中考数学考95分”是可能事件.
D .若甲组数据的方差20.01S =甲,乙组数据的方差2
0.1S =乙
,则乙组数据更稳定. 6. 如图,已知BD 是⊙O 直径,点A 、C 在⊙O 上,⌒AB =⌒BC , ∠AOB =60°,则∠BDC 的度数是( ) A.20° B.25° C.30° D. 40° 7. 不等式组11112
x x +≥-⎧⎪⎨<⎪⎩的解集在数轴上表示正确的是
8.一家商店将某种商品按进货价提高100%后,又以6折优惠售出,售价60元,则这种商品的进货价是( )A .120元 B .100元 C .72元 D .50元
9、若0>ab ,则函数b ax y +=与函数b
y =在同一坐标系中的大致图象可能是( )
1
2
02
- A
D
B
C D
C
B
A
O
(第6题)
10、如图,直径为10的⊙A 山经过点C(0,5)和点0(0,0), B 是y 轴右侧⊙A 优弧上一点,则∠OBC 的余弦值为( ) A.
12 B .34
C. D .45
11、如图,Rt △ABC 中,∠C=90º,∠A =30º,AB = 4,将△ABC 绕 点B 按顺时针方向转动一个角到△A ′BC ′的位置,使点A 、B 、C ′在同一条直线上,则图中阴影部分的周长是( )
A .344+π
B .π4
C .342+π
D .π2
12.如图,已知四边形OABC 是菱形,CD ⊥x 轴,垂足为D ,函数x
y 4
=
的图象经过点C ,且与AB 交于点E 。
若OD =2,则△OCE 的面积为( ) A .2 B .4 C .22
D .24
二、填空题(本题共4小题,每小题3分,共12分。
) 13、分解因式:3
4a a -=__________________________。
14、如图,在⊙O 中,圆心角∠AOB=120°,弦
AB=,则圆心到AB 的距离是______cm 。
15、在数据1,2,3,1,2,2,4中,众数是
16、在△ABC 中,AB =6,AC =8,BC =10,P 为边BC 上一动点,PE ⊥AB 于E ,PF ⊥AC 于F ,M 为EF 中点,则AM 的最小值为 .
三、解答题(满分52分)
17
、计算:1
01245(2 1.41)3-⎛⎫
--++ ⎪⎝⎭
18、先化简,再求值:211122
x x x -⎛
⎫-÷
⎪++⎝⎭
,其中2x =.
A B
C ′
A ′
19、宝安区教育局为了解今年九年级学生体育测试情况,随机抽查了部分学生的体育测试成绩为样本,按A 、B 、C 、D 四个等级进行统计,并将统计结果绘制成如下的统计图,请你结合图中所给信息解答下列问题:
(说明:A 级:90分~100分;B 级:75分~89分;C 级:60分~74分;D 级:60分以下) (1)请把条形统计图补充完整;
(2)样本中D 级的学生人数占全班学生人数的百分比是 ; (3)扇形统计图中A 级所在的扇形的圆心角度数是 ;
(4)若该校九年级有500名学生,请你用此样本估计体育测试中A 级和B 级的学生人数之和为
20、如图在△ABC 中,BE 是它的角平分线,∠C=900,D 在AB 边上,以DB 为直径的半圆O 经过点E 交BC 于点F. (1)求证:AC 是⊙O 的切线;
(2)已知sinA=1
2
,⊙O 的半径为4,求图中阴影部分的面积.
21. 现计划把甲种货物1240吨和乙种货物880吨用一列货车运往某地,已知这列货车挂有A 、B 两种不同规格的货车厢共40节,使用A 型车厢每节费用为6000元,使用B 型车厢每节费用为8000元.
(1)设运送这批货物的总费用为y 万元,这列货车挂A 型车厢x 节,试求出用A 型车厢节数x 表示总费用y 的公式.
(2)如果每节A 型车厢最多可装甲种货物35吨和乙种货物15吨,每节B 型车厢最多可装甲种货物25吨和乙种货物35吨,装货时按此要求安排A 、B 两种车厢的节数,用哪一种方案费用最低。
B 46%
C 24%
D A 20%
等级
5
22.如图7-1,边长为2的正方形ABCD 中,E 是BA 延长线上一点,且AE=AB ,点P 从
点D 出发,以每秒1个单位长度沿D→C→B 向终点B 运动,直线EP 交AD 于点F ,过点F 作直线FG ⊥DE 于G ,交AB 于点R 。
(1)求证:AF=AR ;(3分) (2)设点P 运动的时间为t ,
①求当t 为何值时,四边形PRBC 是矩形?(4分) ②如图7-2,连接PB 。
请直接写出....
使△PRB 是等腰三角形时t 的值.(2分)
23.如图10-1,已知抛物线y = 422
+-ax ax 与x 轴交于A 、B 两点,与y 轴交于点C ,
且OB=OC .
(1)求抛物线的函数表达式;(3分)
(2)若点P 是线段AB 上的一个动点(不与A 、B 重合),分别以AP 、BP 为一边,在直线AB 的同侧作等边三角形APM 和BPN ,求△PMN 的最大面积,并写出此时点P 的坐标; (3)如图10-2,若抛物线的对称轴与x 轴交于点D ,F 是抛物线上位于对称轴右侧的一个动点,直线FD 与y 轴交于点E .是否存在点F ,使△DOE 与△AOC 相似?若存在,请求出点F 的坐标;若不存在,请说明理由.(4分)
A B C
D E R G F P 图7-1 A B C D R G F
P 图
7-2 图10-1
图10-2。