【附31套中考模拟卷】湖南长沙市师大附中学教育集团重点达标名校2019-2020学年中考语文对点突破模拟试卷含

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【20套精选试卷合集】湖南省长沙市湖南师大附中联考2019-2020学年中考英语模拟试卷含答案

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【20套试卷合集】湖南省长沙市湖南师大附中联考2019-2020学年数学八上期中模拟试卷含答案

2019-2020学年八上数学期中模拟试卷含答案一、选择题（每题3分，共计30分；每道题只有一个选项是符合题意的，请将正确答案填在后面的括号内）1.在实数0.333…-π，3.1415，2.001…（相邻两个1之间0的个数逐渐增加）中，无理数有（）21世纪教育A. 1个B. 2个C. 3个D. 4个2. 下列二次根式中的最简二次根式是（）A. B. C. D.3.下列式子正确的是（）±4 B.=4 =-4 D.=±44.下列各组线段为边作三角形，不能构成直角三角形的是( ）A. 2 , 3 , 4B. 1, ,C. 5 , 12 , 13D. 9, 40 , 415.1的大小在以下两个整数之间（）A. 1与2B. 2与3C. 3与4D. 4与56.点M（-3，-5）是由N先向上平移4个单位，再向左平移3个单位而得到，则点N的坐标为（）A. （0，-9）B. （-6，-1）C. （1，-2）D. （1，-8）7..如图1，等边△ABC边长为3cm，将△ABC沿AC向右平移1cm，得到△DEF，则四边形ABEF的周长( )21·世纪*教育A．9cm B．10cm C．11cm D．12cm8.在Rt△ABC中，∠C＝90°，∠A, ∠B, ∠C所对的边分别为a，b，c, 已知a∶b＝3∶4，c＝10，则△ABC的面积为( )A．24 B．12 C．28 D．309.如图，将正方形OABC放在平面直角坐标系中，O是原点，A的坐标为(，则点C的坐标为（）A.，1） B. （1-C.（，1） D.（1-） 10.已知，如图，一轮船以16海里/时的速度从港口A 出发向东北方向航行，另一轮船以12海里/时的速度同时从港口A 出发向东南方向航行，离开港口2小时后，则两船相距（） A ．25海里 B ．30海里 C ．35海里 D ．40海里二、填空题（每空3分，共27分,请直接写出结果）。

湖南师大附中教育集团2019-2020学年九年级上学期第一次联考数学试题(解析版)

湖南师大附中教育集团2019-2020学年度第一次九年级联考数学试题一、选择题：本大题共12个小题,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．）A. 1和2之间B. 2和3之间C. 3和4之间D. 4和5之间【答案】C【解析】【分析】根据5.766 6.25,1.962 2.25<<<<,即可求出和的取值范围,+,即可得出结论．【详解】解:∵5.766 6.25,1.962 2.25<<<<∴2.4 2.5,1.4 1.5<<<∴2.4 1.4 2.5 1.5+<+<+即3.84<+3和4之间故选C ．【点睛】此题考查的是判断无理数的取值范围,根据被开方数的取值范围,求出算术平方根的取值范围是解决此题的关键．2.下列运算正确的是（）A. 428a a a =•B. 2242a a a +=C. 222()a b a b +=+D. 326(2)4a a -= 【答案】D【解析】【分析】根据同底数幂的乘法、合并同类项法则、完全平方公式、积的乘方和幂的乘方逐一判断即可．【详解】解：A ． 44262a a a a +==•，故本选项错误；B ． ()2222112a a a a +=+=，故本选项错误； C ． 222()2a b a ab b +=++，故本选项错误；D ． 322326(2)(2)4a a a ⨯-=-=，故本选项正确．故选D ．【点睛】此题考查的是幂的运算性质、合并同类项和完全平方公式，掌握同底数幂的乘法、合并同类项法则、完全平方公式、积的乘方和幂的乘方是解决此题的关键．3.太阳与地球之间的平均距离约为150000000km ，用科学记数法表示这一数据为（）A. 81.510km ⨯B. 71510km ⨯C. 100.1510km ⨯D. 91.510km ⨯【答案】A【解析】【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 的值时，要看把原数变成a 时，小数点移动了多少位，n 的绝对值与小数点移动的位数相同．当原数绝对值＞10时，n 是正数；当原数的绝对值＜1时，n 是负数．【详解】解：根据科学记数法的定义：150000000km =81.510km ⨯故选A ．【点睛】此题考查的是科学记数法,掌握科学记数法的定义是解决此题的关键．4.2019年全国高中数学联赛，湖南师大附中入选省队人数、签约清北人数、一等奖人数均为全省第一．其中一等奖获奖人数附中及其他三所兄弟学校从高到低依次为：20，17，12，12．这组数据的中位数是（）A. 17B. 12C. 14．5D. 15．5 【答案】C【解析】【分析】根据中位数的定义：一组数据按从小到大(或从大到小)的顺序依次排列,处在中间位置的一个数或最中间两个数据的平均数，即可得出结论．【详解】解：根据中位数的定义，这组数据的中位数是（17＋12）÷2=14.5故选C ．【点睛】此题考查的是求一组数据的中位数，掌握中位数的定义是解决此题的关键．5.如图，//AB CD ，EF 分别为交AB ，CD 于点E ，F ，150∠=o ，则2∠的度数为（）A. 50oB. 120oC. 130oD. 150o【答案】C【解析】【分析】根据两直线平行，同位角相等可得∠BEF=∠1=50°，然后根据平角的定义即可求出∠2的度数．【详解】解：∵//AB CD∴∠BEF=∠1=50°∴∠2=180°－∠BEF=130°故选C ．【点睛】此题考查的是平行线的性质和平角的定义，掌握两直线平行，同位角相等和平角的定义是解决此题的关键．6.如图，O e 的直径AB 垂直于弦CD ，垂足为E ，22.5A ∠=︒，4OC =，CD 的长为( )A. B. 4 C. 8 D. 【答案】A【解析】【分析】根据圆心角等于同弧所对圆周角的2倍得到∠COE=45︒,由垂径定理得到CD=2CE, 90CEO ∠=︒,，用勾股定理求得CE =CD=2CE= 【详解】∵22.5A ∠=︒，∵∵COE=45︒,∵直径AB 垂直于弦CD ，∵CD=2CE, 90CEO ∠=︒,∵4OC =,∵CE=sin 4542OC ⋅︒=⨯=，∵CD=2CE=故选：A.【点睛】此题考查圆的垂径定理、圆周角定理，利用∠COE=45︒求得CE =CD=2CE=.7.如图，D ，E 分别是ABC ∆中AB ，AC 边上的点，//DE BC ，下列结论错误的（）A. AD AE AB AC =B. AD AE DB EC =C. AB AC DB EC =D. DE AE BC EC= 【答案】D【解析】【分析】根据平行线分线段成比例定理及推论逐一判断即可．【详解】解：∵//DE BC ∴AD AE AB AC=，故A 正确；AD AE DBEC =，故B 正确； AB AC DB EC=，故C 正确； DE AE AE BC AC EC=≠，故D 错误．故选D ．【点睛】此题考查的是平行线分线段成比例定理及推论，掌握根据平行线分线段成比例定理及推论判断比例式是解决此题的关键．8.若1x 、2x 是一元二次方程2750x x -+=的两根，则1211+x x 的值是（） A. 75 B. 75- C. 57 D. 57- 【答案】A【解析】【详解】这里a=1，b=-7，c=5，由题意知，x 1x 2=5，x 1+x 2=7，则1211+x x =121275x x x x += 故选A9.如图，菱形ABCD 中，对角线AC 、BD 交于点O ，E 为边AD 中点，菱形ABCD 的周长为28，则OE 的长等于（）A. 3．5B. 4C. 7D. 14【答案】A【解析】【分析】根据菱形的性质和周长，即可求出AD ，然后根据直角三角形斜边上的中线等于斜边的一半即可得出结论．【详解】解：∵菱形ABCD 的周长为28，∴AD=AB=BC=CD=28÷4=7，∠AOD=90°∵E 为边AD 中点，∴在Rt △AOD 中，OE=1 3.52AD = 故选A ．【点睛】此题考查的是菱形的性质和直角三角形的性质，掌握菱形的四边都相等、菱形的对角线互相垂直和直角三角形斜边上的中线等于斜边的一半是解决此题的关键．10.化简22422b a a b b a+--的结果是（） A. 2a b -+B. 2a b --C. 2a b +D. 2a b -【答案】B【解析】【分析】先将分式化成同分母，再计算分式的减法，最后化简分式即可. 【详解】原式22422b a a b a b=--- 2242b a a b-=- (2)(2)2b a b a a b+-=- 2a b =--故选：B.【点睛】本题考查了分式的加减法运算，根据运算法则将分式转化为同分母是解题关键11.一次函数1y kx b =+与反比例函数2m y x=的图象交于(1,2)A -、(2,1)B -两点，使12y y >成立的自变量x 的取值范围是（）A. 12x -<<B. 10x -<<或2x >C. 1x <-或2x >D. 1x <-或02x << 【答案】D【解析】【分析】在同一直角坐标系中，画出两个函数的图象，根据图象找到一次函数图象在反比例函数图象上方时，x 的取值范围即可．【详解】解：在同一直角坐标系中，根据A 、B 两点坐标画出一次函数1y kx b =+与反比例函数2m y x=的图象，如下图所示由图可知：当12y y >时，1x <-或02x <<故选D ．【点睛】此题考查的是一次函数和反比例函数的结合题，掌握一次函数和反比例函数图象的画法、结合图象求自变量的取值范围是解决此题的关键．12.如图，在平行四边形ABCD 中，78ABC ∠=o ，AE BC ⊥于点E ，AE 交BD 于点F ，若2DF AB =，则AFD ∠的大小是（）A. 62oB. 64oC. 66oD. 68o【答案】B【解析】【分析】取DF 的中点G ，连接AG ，根据平行四边形的性质和平行线的性质可得∠FAD=∠AEB=90°，∠CBD=∠GDA ，然后根据直角三角形斜边上的中线等于斜边的一半可推出AB=AG=FG=DG ，根据等边对等角可得∠ABG=∠AGB ，∠GAD=∠GDA ，然后根据三角形的外角的性质和已知条件即可求出∠GDA ，然后根据直角三角形的两个锐角互余即可得出结论．【详解】解：取DF 的中点G ，连接AG ，如下图所示∵四边形ABCD 是平行四边形，AE BC ⊥∴BC ∥AD ，∠AEB=90°∴∠FAD=∠AEB=90°，∠CBD=∠GDA在Rt △FAD 中，DF=2AG=2FG=2GD∵2DF AB =∴AB=AG=FG=DG∴∠ABG=∠AGB ，∠GAD=∠GDA∴∠ABG=∠AGB=∠GAD ＋∠GDA=2∠GDA=2∠CBD∴∠ABC=∠ABG ＋∠CBD=3∠CBD=78°∴∠CBD=26°∴∠GDA=26°在Rt △AFD 中，∠AFD=90°－∠GDA=64°故选B ．【点睛】此题考查的是平行四边形的性质、平行线的性质、直角三角形的性质和等腰三角形的性质，掌握平行四边形的性质、平行线的性质、直角三角形斜边上的中线等于斜边的一半和等边对等角是解决此题的关键．二、填空题（本大题共6个小题，每题3分，满分18分，将答案填在答题纸上） 13.因式分解：2818a b b -=__________．【答案】2(23)(23)b a a -+【解析】【分析】先提取公因式，然后利用平方差公式因式分解即可【详解】解：2818a b b -=()2249b a -=2(23)(23)b a a -+故答案为：2(23)(23)b a a -+．【点睛】此题考查的是因式分解，掌握用提公因式法和平方差公式因式分解是解决此题的关键． 14.从大小形状完全相同标有1、2、3数字的三张卡片中随机抽取两张，和为偶数的概率为____. 【答案】13【解析】试题解析：画出树状图得：∵和为偶数的情况有两种，所有可能的情况有6种，∴P （和为偶数）=21=63．15.圆心角为120o 的扇形的半径为3，则这个扇形的面积为__________．【答案】3π【解析】【分析】根据扇形的面积公式：S 扇形=2360n r π计算即可．【详解】解：这个扇形的面积为212033360ππ••= 故答案为：3π．【点睛】此题考查的是求扇形的面积，掌握扇形的面积公式S 扇形=2360n r π是解决此题的关键． 16.如图，AB 为圆O 的直径，C ，D 是圆O 上两点，若50ABC ∠=o ，则D ∠的度数为__________．【答案】40o【解析】【分析】根据直径所对的圆周角为直角，可得∠ACB=90°，然后根据直角三角形的两个锐角互余即可求出∠CAB ，最后根据同弧所对的圆周角相等即可求出∠D ．【详解】解：∵AB 为圆O 的直径，50ABC ∠=o∴∠ACB=90°∴∠CAB=90°－∠ABC=40°∴∠D=∠CAB=40°故答案为：40°．【点睛】此题考查的是圆周角定理的推论和直角三角形的性质，掌握直径所对的圆周角为直角、同弧所对的圆周角相等和直角三角形的两个锐角互余是解决此题的关键．17.计算：22244(4)2x x x x x+--÷+= ．【答案】x -2【解析】试题解析：原式=244(2)(2)(2)x x x x x x x +-+⨯+-=2(2)(2)(2)(2)x x x x x x -+⨯+- =x-2.考点：分式的混合运算.18.已知关于x 的一元二次方程2(1)40ax a x -+-=的两根分别为1x ，2x ，且110x -<<，223x <<，则实数a 的取值范围是__________．【答案】332a << 【解析】【分析】设2(1)4y ax a x =-+-，根据一元二次方程的解和二次函数图象与x 轴交点的关系，并求出二次函数的图象与y 轴的交点坐标，即可画出二次函数的大致图象，然后根据图象分别找到当x=-1、x=2、x=3时，y 的取值范围代入即可求出a 的取值范围．【详解】解：设2(1)4y ax a x =-+-∵关于x 的一元二次方程2(1)40ax a x -+-=的两根分别为1x ，2x ， ∴二次函数2(1)4y ax a x =-+-的图象与x 轴的两个交点的横坐标为1x ，2x ，将x=0代入二次函数解析式中，解得y=-4∴二次函数的图象与y 轴交于（0，-4）∵110x -<<，223x <<，∴该二次函数的图象大致为如下图所示，由图可知：a ＞0，当x=-1时，y ＞0，即()()211(1)40y a a =---+->，解得：32a >；当x=2时，y ＜0，即222(1)40y a a =-+-<，解得：3a <当x=3时，y ＞0，即233(1)40y a a =-+->，解得：76a >∴实数a 的取值范围是332a << 故答案为：332a <<．【点睛】此题考查的是一元二次方程的解和二次函数图象与x 轴交点的关系，掌握把一元二次方程的问题转化成二次函数的问题是解决此题的关键．三、解答题：本大题共8个小题，第19、20题每小题6分，第21、22题每小题8分，第23、24题每小题9分，第25、26题每小题10分，共66分．解答应写出文字说明、证明过程或演算步骤．19.201(()(12-⨯--【答案】-7【解析】【分析】根据二次根式的性质、负指数幂的性质和零指数幂的性质计算即可．【详解】解：原式2(2)41=+-⨯- 281=--7=-【点睛】此题考查的是实数的混合运算，掌握二次根式的性质、负指数幂的性质和零指数幂的性质是解决此题的关键．20.解不等式组2723222334x x x x x --⎧≤⎪⎪⎨--⎪<-+⎪⎩．【答案】24x <≤【解析】【分析】根据不等式的基本性质分别解出不等式①和②，然后取公共解集即可．【详解】解：2723222334x x x x x --⎧≤⎪⎪⎨--⎪<-+⎪⎩①② 解不等式①，得4x ≤解不等式②，得2x >∴不等式组的解集为24x <≤【点睛】此题考查的是解不等式组，掌握不等式组的解法和公共解集的取法是解决此题的关键． 21.为了解中考体育科目训练情况，某县从全县九年级学生中随机抽取了部分学生进行了一次中考体育科目测试（把测试结果分为四个等级：A 级：优秀；B 级：良好；C 级：及格；D 级：不及格），并将测试结果绘制成了如下两幅不完整的统计图．请根据统计图中的信息解答下列问题：（1）本次抽样测试的学生人数是人；（2）图1中α∠的度数是，并把图2条形统计图补充完整；（3）该县九年级有学生4500名，如果全部参加这次中考体育科目测试，请估计不及格的人数为．（4）老师想从4位同学（分别记为E 、F 、G 、H ，其中E 为小明）中随机选择两位同学了解平时训练情况，请用列表或画树形图的方法求出选中小明的概率．【答案】（1）40；（2）162o ，图详见解析；（3）450；（4）12．【解析】【分析】（1）根据B 级的人数和所占抽样总人数的百分率，即可求出抽样总人数；（2）先用抽样总人数减去A 级、B 级、D 级人数即可得到C 级的人数，用C 级人数除以抽样总人数乘360°即可得出α∠的度数，然后补全条形统计图即可．（3）根据D 级的人数和抽样总人数求出不及格率，再乘九年级总人数即可；（4）根据题意画出树形图，然后根据树形图求概率即可．【详解】解：（1）本次抽样测试的学生人数是12÷30%=40人故答案为：40．（2）C 级人数为40－6－12－4=18人∴α∠=1836016240⨯︒=︒ 故答案为：162o条形统计图如下图所示：（3）不及格率为：4÷40×100%=10%∴不及格的人数为4500×10%=450人故答案为：450（4）根据题意画树形图如下：共有12种等可能的结果，其中选中小明的有6种，则P （选中小明）61122==．【点睛】此题考查的是条形统计图、扇形统计图和求概率问题，掌握结合条形统计图和扇形统计图得出有用信息和画树状图求概率是解决此题的关键．22.如图，AD 是圆O 的弦，AB 经过圆心O ，交圆O 于点C ，30DAB B ∠=∠=o ．（1）求证：直线BD 与圆O 相切．（2）连接CD ，若5CD =，求AB 的长．【答案】（1）详见解析；（2）15【解析】【分析】（1）连接OD ，根据等边对等角可得30ODA DAB B ∠=∠=∠=o ，然后根据三角形的内角和定理即可求出∠ODB ，最后根据切线的判定定理即可得；（2）先证出DOC ∆是等边三角形，即可求出OA=OD=CD=5，然后根据30°所对的直角边是斜边的一半即可求出OB ，从而求出AB ．【详解】解：（1）连接OD∵OA=OD ，30DAB B ∠=∠=o∴30ODA DAB B ∠=∠=∠=o∴18018030303090ODB ODA DAB B ∠=-∠-∠-∠=---=o o o o o o∴直线BD 与圆O 相切（2）由（1）知，30ODA DAB ∠=∠=o∴60DOB ODA DAB ∠=∠+∠=o又∵OC OD =∴DOC ∆是等边三角形∴5OA OD CD ===又∵30B ∠=o ，90ODB ∠=o∴210OB OD ==∴51015AB OA OB =+=+=【点睛】此题考查的是切线的判定、等腰三角形的性质、等边三角形的判定及性质和直角三角形的性质，掌握切线的判定定理、等边对等角、等边三角形的判定及性质和30°所对的直角边是斜边的一半是解决此题的关键．23.某商店计划购进一批A 、B 两种型号的计算器，若购进A 型计算器10只和B 型计算器8只，共需要资金880元；若购进A 型计算器2只和B 型计算器5只，共需要资金380元．（1）求A 、B 两种型号的计算器每只进价各是多少元？（2）该商店计划购进这两种型号计算器共50只．根据市场行情，销售一只A 型计算器可获利9元，销售一只B 型计算器可获利18元．该商店希望销售完这50只计算器，所获利润不少于购进总成本的25%．则该商店至少要采购B 型计算器多少只？【答案】（1）A 种型号的计算器每只进价40元，B 种型号的计算器每只进价为60元；（2）该经销商至少要采购B 型计算器13只．【解析】【分析】（1）设A 种型号的计算器每只进价x 元，B 种型号的计算器每只进价为y 元，根据题意，列出二元一次方程组，并解方程组即可；（2）设该经销商要采购B 型计算器m 只，根据“所获利润不少于购进总成本的25%”列不等式，并解不的【详解】解：（1）设A 种型号的计算器每只进价x 元，B 种型号的计算器每只进价为y 元，根据题意，得 10888025380x y x y +=⎧⎨+=⎩ 解得：4060x y =⎧⎨=⎩答：A 种型号计算器每只进价40元，B 种型号的计算器每只进价为60元．（2）设该经销商要采购B 型计算器m 只，根据题意，得189(50)[6040(50)]25%m m m m +-≥+-•解之，得12.5m ≥所以，该经销商至少要采购B 型计算器13只答：该经销商至少要采购B 型计算器13只．【点睛】此题考查的是二元一次方程组的应用和一元一次不等式的应用，掌握实际问题中的等量关系和不等关系是解决此题的关键．24.如图，四边形ABCD 中，AB AD =，60BAD ∠=o ，30BCD ∠=o ，将AC 绕着点A 顺时针旋转60o 得AE ，连接BE ，CE ．（1）求证：ADC ∆≌ABE ∆；（2）求证：222AC DC BC =+；（3）若2AB =，点Q 在四边形ABCD 内部运动，且满足222AQ BQ DQ =+，求点Q 运动路径的长度．【答案】（1）详见解析；（2）详见解析；（3）23π．【解析】的（1）根据等式的基本性质可得DAC BAE ∠=∠，然后利用SAS 即可证出ADC ∆≌ABE ∆；（2）根据四边形的内角和和全等三角形的性质可得270ABC ABE ∠+∠=o ，从而求出∠CBE=90°，根据勾股定理可得222CE BE BC =+，根据等边三角形的判定及性质可得CE AE AC ==，从而证出结论；（3）如图，设Q 为满足条件的点，将AQ 绕着点A 顺时针旋转60度得AF ，连接QF ，BF ， QB ，DQ ，AF ， DB ，先利用SAS 证出ADQ ∆≌ABF ∆，从而得出BF DQ =，∠AQD=∠AFB ，然后证出AFQ ∆为等边三角形，△ADB 为等边三角形，从而得出AQ FQ =， DB=AB=2，然后根据勾股定理的逆定理可得90FBQ ∠=o，根据四点共圆证出点Q 的路径为过B 、D 、C 三点的圆上»BD ，求出圆心角和半径即可求出点Q 运动路径的长度．【详解】证明：（1）∵60CAE DAB ∠=∠=o∴DAB CAB CAE CAB ∠-∠=∠-∠∴DAC BAE ∠=∠在ADC ∆和ABE ∆中AD AB DAC BAE AC AE =⎧⎪∠=∠⎨⎪=⎩∴ADC ∆≌ABE ∆（2）在四边形ABCD 中360270ADC ABC DAB DCB ∠+∠=-∠-∠=o o∵ADC ∆≌ABE ∆∴ADC ABE ∠=∠，CD BE =∴270ABC ABE ABC ADC ∠+∠=∠+∠=o∴360()90CBE ABE ABC ∠=-∠+∠=o o∴222CE BE BC =+又∵AC AE =，60CAE ∠=o∴△AEC 为等边三角形∴CE AE AC ==∴222AC DC BC =+（3）如图，设Q 为满足条件的点，将AQ 绕着点A 顺时针旋转60度得AF ，连接QF ，BF ， QB ，DQ ，AF ， DB ．∵60QAF DAB ∠=∠=o∴DAB QAB QAF QAB ∠-∠=∠-∠∴DAQ BAF ∠=∠在ADQ ∆和ABF ∆中 AD AB DAQ BAF AQ AF =⎧⎪∠=∠⎨⎪=⎩∴ADQ ∆≌ABF ∆∴BF DQ =，∠AQD=∠AFB ，∵60QAF ∠=o ，AQ=AF ，∠DAB=60°，AD=AB∴AFQ ∆为等边三角形，△ADB 为等边三角形∴AQ FQ =， DB=AB=2∵222AQ BQ DQ =+∴222FQ BQ BF =+∴90FBQ ∠=o∴()360DQB AQD AQB ∠=-∠+∠o()()360360360150AFB AQB QAF FBQ =-∠+∠⎡⎤=--∠+∠⎣⎦=o o o o∵∠BCD=30°∴∠DQB ＋∠BCD=180°∴点Q 的路径为过B 、D 、C 三点的圆上»BD设圆心为O ，连接OD 、OB则260BOD BCD ∠=∠=o ，∴△OBD 为等边三角形∴2DO DB ==，∴点Q 的运动的路径长为：60221803ππ⨯=．【点睛】此题考查的是全等三角形的判定及性质、等边三角形的判定及性质、勾股定理及逆定理、四点共圆和求点的运动路径长度，掌握构造全等三角形的方法、全等三角形的判定定理、等边三角形的判定及性质、勾股定理及逆定理、利用四点共圆判定点的运动路径及弧长公式是解决此题的关键．25.四边形的一条对角线将这个四边形分成两个三角形，如果这两个三角形相似（不全等），那么我们将这条对角线叫做这个四边形的相似对角线．（1）如图1，四边形ABCD 中，100DAB ∠=o ，130DCB ∠=o ，对角线AC 平分DAB ∠，求证：AC 是四边形ABCD 的相似对角线；（2）如图2，直线33y x =-+分别与x ，y 轴相交于A ，B 两点，P 为反比例函数k y x=（k 0<）上的点，若AO 是四边形ABOP 的相似对角线，求反比例函数的解析式；（3）如图3，AC 是四边形ABCD 的相似对角线，点C 的坐标为(3,1)，//AC x 轴，30BCA DCA ∠=∠=o ，连接BD ，BCD ∆A ，C 两点的抛物线2y ax bx c =++（0a <）与x 轴交于E ，F 两点，记1m AC =+，若直线y mx =与抛物线恰好有3个交点，求实数a 的值．【答案】（1）详见解析；（2）y x =或y x -=y x-=；（3）12a =-或92a =- 【解析】【分析】（1）设ACD α∠=，则130ACB α∠=-o ，然后根据角平分线的性质可求得∠BAC=∠DAC=50°，根据三角形的内角和定理可得B α∠=，最后根据相似三角形的判定定理可证AC 是四边形ABCD 的相似对角线；（2）根据一次函数即可求出点A 、B 的坐标，再根据锐角三角函数值即可求出30OAB ∠=o ，60OBA ∠=o ，然后根据相似对角线的定义和相似三角形对应角的情况分类讨论，分别利用锐角三角函数求出点P 的坐标，即可求出反比例函数的解析式；（3）根据锐角三角函数和面积公式可得4CD BC •=，然后根据相似对角线的定义即可求出AC ，从而求出两个m 的值和两条直线的解析式3y x =-和3y x =，根据图形可知3y x =-，一定与抛物线有两个交点，故3y x =与抛物线有且仅有一个交点，然后联立方程令一元二次方程的△=0即可求出a 的值．【详解】（1）证明：如图1，设ACD α∠=，则130ACB α∠=-o∵100DAB ∠=o ，AC 平分DAB ∠∴∠BAC=∠DAC=1502DAB ∠=o ∴18018050(130)B BAC ACB αα∠=-∠-∠=---=o o o o在ABC ∆和ACD ∆中∵B ACD ∠=∠，BAC CAD ∠=∠∴ABC ∆∽ACD ∆∴AC 是四边形ABCD 的相似对角线．（2）如图2，可求得直线33y x =-+与两坐标轴交点分别为(4,0)A ，(0,)3B ∴OA=4，在Rt △AOB中，tan OB OAB OA ∠== ∴30OAB ∠=o ，60OBA ∠=o当OA 是四边形OBAP 的相似对角线时，有如下情况：①当∠APO=∠AOB=90°时，过点P 作PQ ⊥x 轴于Q ，如下图所示，此时又分以下两种情况的（i ）当60AOP ABO ∠=∠=o ，Rt △OAP 中，OP=OA ·cos ∠AOP=2在Rt △OPQ 中，OQ=OP ·cos ∠AOP=1，PQ= OP ·sin ∠∴此时点(1,P ，将P 点坐标代入k y x=，得k =∴该反比例函数的解析式为y =；（ii ）30BAO AOP ∠=∠=o ，在Rt △OAP 中，OP=OA ·cos ∠在Rt △OPQ 中，OQ=OP ·cos ∠AOP=3，PQ= OP ·sin ∠∴此时点(3,P ，将P 点坐标代入k y x=，得k =-∴该反比例函数的解析式为y x-= ②当∠OAP=∠AOB=90°时，此时又分以下两种情况（i ）当∠AOP=∠OAB=30°时，如下图所示，∵OA=AO ，∠OAP=∠AOB=90°∴△OAP ≌AOB ，不符合相似对角线的定义，故舍去；（ii ）当60AOP ABO ∠=∠=o 时，如下图所示，在Rt △OAP 中，AP=OA ·tan ∠AOP=∴此时点(4,P -，将P 点坐标代入k y x=，得k =-该反比例函数的解析式为y =； ③当∠AOP=∠AOB=90°时，此时点P 在y 轴上，故不存在反比例函数图象，故舍去．综上所述：反比例函数的解析式为y =y =y =．（3）如图3，作BCD ∆的底边CD 边上的高BH ，则30CBH ∠=o ， ∴12CH BC =在Rt CHB ∆中，由勾股定理可求得BH BC =，∵12BCD S CD BC ∆=BC •=∴4CD BC •=∵AC 是四边形ABCD 的相似对角线若BCA ∆∽DCA ∆，由CA=CA 可得BCA ∆≌DCA ∆，不符合相似对角线的定义，故舍去，∴BCA ∆∽ACD ∆， ∴BC AC AC DC=， ∴2AC CD BC =•∴24AC =，即2AC =由点C 的坐标为(3,1)可知，点A 的坐标为(1,1)，将A ，C 两点的坐标代入抛物线2(0)y ax bx c a =++<，得1931a b c a b c ++=⎧⎨++=⎩解得4b a =-，31c a =+，所以抛物线的解析式可化为2431y ax ax a =-++ 由1m AC =+，得直线y mx =的解析为3y x =,3y x =-，∵直线3y x =-与抛物线2431y ax ax a =-++(0)a <的交点必有两个∴直线3y x =与该抛物线的交点有且只有一个∴方程组23431y x y ax ax a =⎧⎨=-++⎩有且只有一组解即关于x 的一元二次方程2(43)310ax a x a -+++=有两个相等的实数根．∴2(43)4(31)0a a a ∆=+-+=，解得12a =-或92a =-【点睛】此题考查的是新定义问题、新定义与反比例函数、新定义与二次函数的综合大题，此题难度较大，涉及知识点较多，掌握相似三角形的性质、利用待定系数法求反比例函数解析式、二次函数与一次函数交点个数与一元二次方程根的判别式的关系和分类讨论的数学思想是解决此题的关键．26.如图，已知二次函数2y ax bx c =++（0a ≠）的图象与x 轴交于点A 和点(2,0)B -，与交y 轴于点(0,4)C ，0()f x 表示当自变量为0x 时的函数值，对于任意实数m ，均有(1)(3)f m f m -=-．（1）求该二次函数的解析式；（2）点Q 是线段AB 上的动点，过点Q 作//QE AC ，交BC 于点E ，连接CQ ．当CQE ∆的面积最大时，求点Q 的坐标；（3）若平行于x 轴的动直线l 与该抛物线交于点P ，与直线AC 交于点F ，点D 的坐标为(2,0)．是否存在这样的直线l ，使得ODF ∆是等腰三角形？若存在，请求出点P 的坐标；若不存在，请说明理由．【答案】（1）2142y x x =-++；（2）(1,0)Q ；（3）存在，点P 的坐标为：(1+或(1-或(1+或(1【解析】【分析】（1）根据题意即可求出抛物线的对称轴，然后利用抛物线的对称性即可求出点A 的坐标，设二次函数的解析式为(2)(4)y a x x =+-，将点C 的坐标代入即可求出二次函数的解析式，化为一般式即可；（2）设点Q 的坐标为(,0)m ，过点E 作EG x ⊥轴于点G ，根据点A 、B 、C 的坐标即可求出OA 、OB 、OC 、BQ 和AB ，根据相似三角形的判定及性质，即可用含m 的式子表示EG ，然后根据CQE CBQ EBQ S S S ∆∆∆=-即可求出CQE S ∆与m 的二次函数关系式，根据二次函数求最值即可；（3）根据等腰三角形腰的情况分类讨论，分别在每种情况下求出点F 的坐标，然后根据点P 和点F 的纵坐标相等，将点P 的纵坐标代入二次函数解析式中即可求出点P 的横坐标．【详解】解：（1）当1x m =-与3x m =-时函数值相等，可知抛物线的对称轴为1312m m x -+-==，由点B 的坐标(2,0)-可求得A 点的坐标为(4,0)设二次函数的解析式为(2)(4)y a x x =+-将点(0,4)C 代入，得12a =- 所以，二次函数解析式为2142y x x =-++．（2）设点Q 的坐标为(,0)m ，过点E 作EG x ⊥轴于点G ，如图∵A （4,0），(2,0)B -， (0,4)C ，∴OA=4，OB=2，OC=4， BQ=m+2∴AB=6∵//QE AC ∴BE BQ BC BA = ∵//EG OC ∴BE EG BC CO= ∴EG BQ CO BA =，即246EG m +=， ∴243m EG += ∴CQE CBQ EBQ S S S ∆∆∆=-1122BQ CO BQ EG =•-• ()12BQ CO EG =•- 124(2)(4)23m m +=+- 21(1)33m =--+ 又∵24m -≤≤ 的∴当1m =时，CQE S ∆有最大值3，此时(1,0)Q（3）存在．①若DO DF =，如下图所示则2AD OD DF ===，∴∠DOF=∠DFO ，∠DAF=∠DFA∴∠DOF+∠DAF=∠DFO+∠DFA=∠OFA∴AFO ∆是直角三角形，OF ⊥AC∵OA=OC=4∴点F 为AC 的中点∴根据中点坐标公式：点F 的坐标为4004,(2,2)22++⎛⎫=⎪⎝⎭∵直线l ∥x 轴 ∴点P 的纵坐标=点F 的纵坐标=2，将y=2代入二次函数解析式中，得21422x x -++=，得11x =+21x =此时点P 的坐标为：(12)P +或(12)P -②若FO FD =，过点F 作FM x ⊥轴于点M由等腰三角形的性质得：112OM OD ==， ∴3AM =，在等腰直角三角形AOC 中，∠OAC=45°∴△AMF 也是等腰直角三角形∴FM=AM=3∴(1,3)F∵直线l ∥x 轴∴点P 的纵坐标=点F 的纵坐标=3，将y=3代入二次函数解析式中，得由21432x x -++=，得11x =，21x =此时，点P 的坐标为：(1P +或(1P③若OD OF =，∵4OA OC ==，且90AOC ∠=o∴AC =∴点O 到AC 的距离为而2OF OD ==<∴AC 上不存在点F 使得2OD OF ==此时，不存在这样的直线l ，使得ODF ∆是等腰三角形综上，存在这样的直线l ，使得ODF ∆是等腰三角形，所求点P 的坐标为：(1+或(1-或(1或(1【点睛】此题考查的是二次函数与几何图形的综合大题，难度系数较大，掌握利用待定系数法求二次函数解析式、把面积最值问题转化为二次函数最值问题和分类讨论的数学思想是解决此题的关键．。

2024届湖南省长沙市湖南师大附中教育集团重点中学中考一模数学试题含解析

2024学年湖南省长沙市湖南师大附中教育集团重点中学中考一模数学试题请考生注意：1．请用2B 铅笔将选择题答案涂填在答题纸相应位置上，请用0．5毫米及以上黑色字迹的钢笔或签字笔将主观题的答案写在答题纸相应的答题区内。

写在试题卷、草稿纸上均无效。

2．答题前，认真阅读答题纸上的《注意事项》，按规定答题。

一、选择题（每小题只有一个正确答案，每小题3分，满分30分）1．一元二次方程210x x --=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 ．没有实数根D ．无法判断 2．在代数式3m m - 中，m 的取值范围是（） A ．m≤3 B ．m≠0 C ．m≥3 D ．m≤3且m≠03．如图，四边形ABCD 内接于⊙O ，若∠B ＝130°，则∠AOC 的大小是（）A ．130°B ．120°C ．110°D ．100°4．如图，在平面直角坐标系中，⊙P 的圆心坐标是（3，a ）（a ＞3），半径为3，函数y ＝x 的图象被⊙P 截得的弦AB 的长为42，则a 的值是（）A ．4B ．3＋2C ．32D ．33+5．下列各式计算正确的是（）A ．2223a a +=B ．()236b b -=-C ．235c c c ⋅=D ．()222m n m n -=- 6．如图是二次函数图象的一部分，其对称轴为x=﹣1，且过点（﹣3，0）．下列说法：①abc ＜0；②1a ﹣b=0；③4a+1b+c ＜0；④若（﹣5，y 1），（，y 1）是抛物线上两点，则y 1＞y 1．其中说法正确的是（）A ．①②B ．②③C ．①②④D ．②③④7．如图1是一座立交桥的示意图（道路宽度忽略不计），A 为人口，F ，G 为出口，其中直行道为AB ，CG ，EF ，且AB ＝CG ＝EF ；弯道为以点O 为圆心的一段弧，且BC ，CD ，DE 所对的圆心角均为90°．甲、乙两车由A 口同时驶入立交桥，均以10m/s 的速度行驶，从不同出口驶出，其间两车到点O 的距离y （m ）与时间x （s ）的对应关系如图2所示．结合题目信息，下列说法错误的是（）A ．甲车在立交桥上共行驶8sB ．从F 口出比从G 口出多行驶40mC ．甲车从F 口出，乙车从G 口出D ．立交桥总长为150m8．如果关于x 的一元二次方程k 2x 2-(2k+1)x+1=0有两个不相等的实数根，那么k 的取值范围是（）A ．k>－14 B ．k>－14且0k ≠ C ．k<－14 D ．k ≥－14且0k ≠ 9．若关于x 的一元二次方程x(x+1)+ax=0有两个相等的实数根，则实数a 的值为（） A ．1- B ．1 C ．22-或 D ．31-或10．若x ＝－2 是关于x 的一元二次方程x 2－52ax ＋a 2＝0的一个根，则a 的值为( ) A ．1或4 B ．－1或－4 C ．－1或4D ．1或－4 二、填空题（共7小题，每小题3分，满分21分）11．大自然是美的设计师，即使是一片小小的树叶，也蕴含着“黄金分割”，如图，P 为AB 的黄金分割点（AP>PB ），如果AB 的长度为10cm ，那么PB 的长度为__________cm ．12．计算：112a a -＝________． 13．阅读材料：设a =（x 1，y 1），b =（x 2，y 2），如果a ∥b ，则x 1•y 2=x 2•y 1．根据该材料填空：已知a =（2，3），b =（4，m ），且a ∥b ，则m=_____．14．20-114+-3-2014-4+6⨯（）（）=________15．如图，两个三角形相似，AD=2，AE=3，EC=1，则BD=_____．16．因式分解：mn （n ﹣m ）﹣n （m ﹣n ）=_____．17．函数y ＝1x +的自变量x 的取值范围为____________．三、解答题（共7小题，满分69分）18．（10分）如图，AB 是⊙O 的直径，点C 是AB 延长线上的点，CD 与⊙O 相切于点D ，连结BD 、AD ．求证；∠BDC ＝∠A ．若∠C ＝45°，⊙O 的半径为1，直接写出AC 的长．19．（5分）用你发现的规律解答下列问题．111122=-⨯ 1112323=-⨯ 1113434=-⨯ ┅┅计算111111223344556++++=⨯⨯⨯⨯⨯ ．探究1111......122334(1)n n ++++=⨯⨯⨯+ ．（用含有n 的式子表示）若1111......133557(21)(21)n n ++++⨯⨯⨯-+的值为1735，求n 的值． 20．（8分）规定：不相交的两个函数图象在竖直方向上的最短距离为这两个函数的“亲近距离”（1）求抛物线y ＝x 2﹣2x +3与x 轴的“亲近距离”；（2）在探究问题：求抛物线y ＝x 2﹣2x +3与直线y ＝x ﹣1的“亲近距离”的过程中，有人提出：过抛物线的顶点向x 轴作垂线与直线相交，则该问题的“亲近距离”一定是抛物线顶点与交点之间的距离，你同意他的看法吗？请说明理由．（3）若抛物线y ＝x 2﹣2x +3与抛物线y ＝214x +c 的“亲近距离”为23，求c 的值． 21．（10分）如图，在矩形ABCD 中，AD ＝4，点E 在边AD 上，连接CE ，以CE 为边向右上方作正方形CEFG ，作FH ⊥AD ，垂足为H ，连接AF.(1)求证：FH ＝ED ；(2)当AE 为何值时，△AEF 的面积最大？22．（10分）如图，在平面直角坐标系中，直线y 1=2x ﹣2与双曲线y 2=k x交于A 、C 两点，AB ⊥OA 交x 轴于点B ，且OA=AB ．（1）求双曲线的解析式；（2）求点C 的坐标，并直接写出y 1＜y 2时x 的取值范围．23．（12分）有一个n 位自然数...abcd gh 能被x 0整除，依次轮换个位数字得到的新数bcd...gha 能被x 0+1整除，再依次轮换个位数字得到的新数cd...ghab 能被x 0+2整除，按此规律轮换后，d...ghabc 能被x 0+3整除，…，...habc g 能被x 0+n ﹣1整除，则称这个n 位数a ...bcd gh 是x 0的一个“轮换数”．例如：60能被5整除，06能被6整除，则称两位数60是5的一个“轮换数”；再如：324能被2整除，243能被3整除，432能被4整除，则称三位数324是2个一个“轮换数”．（1）若一个两位自然数的个位数字是十位数字的2倍，求证这个两位自然数一定是“轮换数”．（2）若三位自然数abc 是3的一个“轮换数”，其中a=2，求这个三位自然数abc ．24．（14分）如图，一次函数y 1=﹣x ﹣1的图象与x 轴交于点A ，与y 轴交于点B ，与反比例函数2k y x=图象的一个交点为M （﹣2，m ）．（1）求反比例函数的解析式；（2）求点B 到直线OM 的距离．参考答案一、选择题（每小题只有一个正确答案，每小题3分，满分30分）1、A【解题分析】把a=1,b=-1,c=-1,代入24b ac ∆=-，然后计算∆，最后根据计算结果判断方程根的情况.【题目详解】21,1,14145a b c b ac ==-=-∴∆-=+=∴方程有两个不相等的实数根.故选A.【题目点拨】本题考查根的判别式，把a=1,b=-1,c=-1,代入24b ac ∆=-计算是解题的突破口.2、D【解题分析】根据二次根式有意义的条件即可求出答案．【题目详解】由题意可知：300m m -≥⎧⎨≠⎩解得：m≤3且m≠0故选D ．【题目点拨】本题考查二次根式有意义的条件，解题的关键是熟练运用二次根式有意义的条件，本题属于基础题型． 3、D【解题分析】分析：先根据圆内接四边形的性质得到18050D B ∠=︒-∠=︒，然后根据圆周角定理求AOC ∠．详解：∵180B D ∠+∠=︒，∴18013050D ∠=︒-︒=︒，∴2100.AOC D ∠=∠=︒故选D.点睛：考查圆内接四边形的性质, 圆周角定理，掌握圆内接四边形的对角互补是解题的关键. 4、B【解题分析】试题解析：作PC ⊥x 轴于C ，交AB 于D ，作PE ⊥AB 于E ，连结PB ，如图，∵⊙P 的圆心坐标是（3，a ），∴OC=3，PC=a ，把x=3代入y=x 得y=3，∴D 点坐标为（3，3），∴CD=3，∴△OCD 为等腰直角三角形，∴△PED 也为等腰直角三角形，∵PE ⊥AB ，∴AE=BE=12AB=12×42=22，在Rt △PBE 中，PB=3，∴PE=223-22=1（），∴PD=2PE=2，∴a=3+2．故选B ．考点：1．垂径定理；2．一次函数图象上点的坐标特征；3．勾股定理．5、C【解题分析】解：A ．2a 与2不是同类项，不能合并，故本选项错误；B ．应为()236b b -=，故本选项错误；C ．235·c c c =，正确；D ．应为()2222m n m n mn -=+-，故本选项错误．故选C ．【题目点拨】本题考查幂的乘方与积的乘方；同底数幂的乘法．6、C【解题分析】∵二次函数的图象的开口向上，∴a ＞0。

湖南长沙市湖南师大附中集团2019-2020学年第一学期期中联考七年级语文试卷含答案

湖南师大附中集团2019-2020学年第一学期期中联考七年级语文试卷一、积累与运用(共30分)1.下列各项字形和加点字注音全都正确的一项是(2分)( )A.贮．蓄(chǔ) 菡萏．(dàn) 郎润喜出望外B.徘徊．(huí) 匿．笑(nì) 分歧翻来复去C.着．落(zhuó) 攲．斜(qī) 姊妹花枝招展D.应和．(hè) 荫．蔽(yìn) 取诀各得其所2.下列语段中加点词运用不正确的一项是(2 分)( )云冈石窟位于山西大同以西武周山南崖，现存53个洞窟及许多小窟，东西绵延一公里。

石窟佛像造型刚健浑厚、咄咄逼人．．的游牧．．．．,透露出5世纪北方鲜卑民族粗犷部落的内在气质。

游客伫立其下，静思祷告，只会感到高邈、深邃，从而被那个时代的精神力量震撼。

A.咄咄逼人B.粗犷C.祷告．．．． D.高邈3.下列语句，没有语病的一项是(2分)( )A.近日，江苏无锡发生的高架桥侧翻事故是因为运输车辆超载所致。

B.鲁迅的作品，把大爱与批判交融起来，构筑了大气和深刻并存的精神格局。

C.王菲版《我和我的祖国》，没有高声呼吼，只有温情倾诉，传递出一种轻松愉悦。

D.网络时代，为了避免数据不被盗取，最好的规避方法就是不连没有密码的Wi-Fi。

4.依次填入下面横线的语句，顺序最恰当的一项是(2 分)( )这跨越半个多世纪的敦煌保卫战，至今还在继续。

她有愧于家庭，也怠慢了自己，却用一生的守望，换来了莫高窟壁画的永久性保存。

正如季羡林先生所说，这件事功德无量!①从青春少女到满头华发②如果没有樊锦诗这样的人③樊锦诗守护国宝半个多世纪④敦煌可能要比古代快一百倍的速度走向死亡⑤我们将来或许无缘亲睹敦煌莫高窟——这份珍贵的文化遗产A.①②④⑤③B. ②⑤④③①C.①③②⑤④D.②④⑤①③5.下列有关中国古代文化常识的表述，不正确的一.项是(2 分)( )A.鲍照诗云“三五二八时，千里与君同”，其中“三五”“二八”分别指农历每月十五、十六日。

湖南省长沙市师大附中集团(广益实验中学)2019-2020年九年级第一学期第三次月考英语试卷(wor

师大附中集团（广益实验中学）2019-2020学年第一学期第三次月考试卷九年级英语总分：120分时量：90分钟考试时间：2019年12月II. 知识运用（两部分，共20小题，计20分）第一节语法填空（共10小题，计10分）21. —________ great progress you’ve made in English! Congratulations!—Thanks a lot!A. What aB. HowC. What22. On November 28,2018. Chinese football player, Wang Shuang, ________ AFC Women’sPlayer of the Year.A. is namedB. was namedC. named23. It’s ________ walk from our school to the shopping center where you can buy the dress.A. fifteen minutesB. a fifteen-minuteC. fifteen minute’s24. Your little brother has fallen into sleep. Would you mind ________ the music?A. turning downB. to turn downC. turn down25. —What kind of shows do you like, talk shows or soap operas?—________. Only game shows can make me relaxed.A. BothB. NeitherC. Either26. I was really touched by the program “Touching China” introduced some of the most movingstories that happened in 2018.A. whichB. thatC. who27. —Have you moved into your new house?—Not yet. The roomsA. are paintingB. are being paintedC. are being painting28. —Shall I tell Mike about it?—No, you ________. I’ve told him already.A. mustn’tB. shouldn’tC. needn’t29. —The sky looks terrible!—It will be worse ________ we take action to protect the environment.A. unlessB. ifC. when30. —When did the film My People, My Country start?—It ________ for twenty minutes.A.has begunB. has been onC. began第二节词语填空（共10小题，计10分）Last winter a friend invited us to help serve(招待) dinner at Tent City. A number of tents(帐篷)were 31 for the homeless in the area.I took my two boys with me. They were nine and five at the time. They had a lot of32 because this whole thing challenged(挑战)their common ideas about how people lived in the world.“Why don’t they have homes?”“Why don’t they get food the way we do?”We talked through the 33 people end up in this situation and the importance of 34 a safety “home” for them. I explained that oftentimes, the only safety “home” is other people who are 35 to share some of their time and resources(资源).The people we served aged from the young to the elderly. Many of them were missing teeth or had dirty clothes. To my surprise, they were quite 36 that I had brought the boys. Many said what fun it was to have active, joyful children around.After dinner, I saw my older son sitting together with several elderly gentlemen who were talking about sports in front of a small television set. He was having a 37 time sharing and hearing stories.As some people returned to their tents, I heard him tell them, “Thanks so much for coming to dinner with us.” I could see through their facial expressions that his simple words 38 them greatly. I held his hand lovingly as we left to go home because it touched me too.It was a great reminder of how treating(对待)people with 39 , no matter who they are, can lift all of us up. Even it’s the longest 40 for some of them.31. A. sent up B. set up C. cut up32. A. questions B. jokes C. stories33. A. excuses B. reasons C. lies34. A. drawing B. buying C. creating35. A. ready B. tired C. serious36. A. shameful B. thankful C. nervous37. A. great B. boring C. hard38. A. surprised B. disappointed C. touched39. A. purpose B. respect C. promise40. A. dinner B. holiday C. winterIII. 阅读技能（共三节，共24小题，计48分）第一节图表理解（共5小题，计10分）41. According to the chart(图表), we learn ________.A. guest artists will give classes for group classes of the Art ProgramB. only beginners are welcome by the Development ProgramC. the Development Program helps improve thinking skills42. The texts are most probably written for ________.A. teachersB. studentsC. parentsBLijiang River National Park, China Lijiang River is in Guilin. The limestonecaves(石灰岩洞)and green hills along theriver are amazing. The hills are different inshape. One looks like an elephant drinkingwater with its trunk(象鼻). People call the hill“Elephant Trunk Hill”. The best way to enjoyLijiang River is to take an 83-km-long boattrip from Guilin to Yangshuo.Serengeti National Park, Tanzania Do you love animals? The Serengeti NationalPark might be fun for you to visit. You can seesome big animals here, such as lions,elephantsand buffaloes(水牛). If you visit the park, youshould not miss the annual(每年的)animalmigration(迁徙). This is the most famousevent at the park.Lake District National Park, England The Lake District is E ngland’s largest nationalpark. In fact, it covers about 1 percent of allthe land area in Britain. As its name suggests,the park has the deepest lake in England. It is74 meters deep. The park is a great place forplaying water sports like sailing.43. Which of the following is NOT true?A. It’s a wise choice to take a boat to enjoy Lijiang River.B. The annual animal migration is worth watching for the visitors.C. Water sports are not allowed in the Lake District National Park.44. What is the common feature(特点)of these three parks?A. Man-made.B. Natural.C. Mountainous.45. The information might come from ________.A. a novelB. a science magazineC. a travel guide第二节短文阅读（共10小题，计20分）AZephyr is an 8-month-old yellow dog. She walks the halls of campus (校园) and even goes to class with students at Hutto High School in Texas, US.This school has a guide dog training program. It started two years ago. Zephyr is one of the many dogs who have been trained by students to become a guide dog for the blind. Many other schools in Texas have similar programs.In this program, students first work as dog-sitters. They receive training and go to meetings with Guide Dogs for the Blind, the largest guide dog school in North America.They help to take care of the dogs for a while before getting a dog of their own. Then, they start to teach the dogs and train them in different environments. The student trainers will work with the dogs for one year.Izabelle Harris, 15, joined the program about a year ago, first as a dog-sitter, and now as one of the trainers. Zephyr is her dog. On one recent morning, she and other students trained their dogs to walk over water drainage grates(下水道盖), which dogs often avoid, as well as to avoid food on the ground or other people trying to play with them. When the school bell rang, the dogs followedtheir trainers to the next class, sitting or lying quietly between their trainers’ feet.“Hopefully someday, Zephyr will be the eyes for someone,” Harris said.46. The program trains dogs to help ________.A. blind peopleB. lonely personsC. pet lovers47. What do we know about the guide dog training program?A. It has lasted for two years.B. It is only at Hutto High School.C. Zephyr was the first guide dog in the program.48. What does the underlined word “dog-sitters” mean?A. 驯狗员B. 狗保姆C. 兽医49. As trainers, students in the training program have to ________.a. learn how to take care of dogsb. keep the dogs for one yearc. work as a trainer first, then a dog-sitterA. a. cB. b. cC. a, b49. About lzabelle Harris, we learn that ________.A. she has been in the program for about one yearB. she trains her dog to play with people.C. her dog isn’t allowed into her classBI got into the teaching job by chance. When I was in 9th grade, my math teacher asked me to teach a class for a few students who were having difficulty with math. And believe me, I really enjoyed teaching that class and I never knew teaching would be so interesting. I loved my “students”, and was happy to answer the creative questions they asked.After my graduation, I worked as a software (软件) developer for a few years. But I realized that no job could provide me with the satisfaction that I experienced while teaching.I felt nervous on my first day of teaching. But now I can say that giving lessons was one of the best experiences of my life: I was a Computer Science major(专业),but I tried to help my students with subjects that were not within my field. Every morning I would feel energized and excited t hinking about the class and the bright faces that would be there to greet me, “Good morning, Madam. ”To me, each day was a new beginning, with new feelings and new experiences. I loved to open their young minds and read their curious(好奇的)faces while they tried to deal with difficult topics. It was very wonderful to motivate(激励)them to take part in the classroom, think critically(批判地),question and also respect others’ views.Although the students didn’t always feel like it was easy, it was very exciting to prove to them that they could really learn anything. That is why I loved to teach.51. The writer’s very first “students” were her ________.A. teachersB. classmatesC. parents52. Why did the writer give up her job as a software developer?A. Because she needed better pay.B. Because she missed her old school.C. Because she couldn’t feel satisfaction of working.53. ________ might be the advantage for the writer to work as a good teacher.A. Her Computer Science majorB. Her love for children and educationC. Her experience as a software developer54. What can we infer(推断) from the last paragraph?A. The writer’s classes were hard to understand.B. Some of the students showed no interest in difficult points.C. Every student was cared, understood and respected in the writer’s classes.55. What can be the best title for the passage?A. Enjoy teaching, feel satisfaction.B. An unforgettable learning experience.C. How to build a good relationship with students.第三节语篇补全（共4小题，计8分）Years ago, Linda Henkel, an American scientist, was travelling at the Grand Canyon(美国大峡谷). “When I was at the canyon, someone came to the front, took a picture and walked away. “she recalls as she shares her travelling experience.” He didn’t even look at t he scenery(风景)! It’s just like, ‘Got it-Done!’”Henkel is surprised by how much people depend on pictures for their memories. These days, people take pictures before dinner, during friends’ birthday parties. and so on. 56. ________ However, according to He nkel’s research, the opposite is true.In her study, Henkel led a group of college students around a museum. She asked them to look at 15 exhibits (展览品) carefully and then photograph(拍照)15 others.The next day, she tested the students’ memory of the tour. She found that the students remembered fewer details about the exhibits they had photographed.Henkel explained that when people rely on their cameras, they pay less attention to the event themselves. 57. ________So taking pictures may prevent our brains from remembering things and places. But shouldn’t looking over the pictures wake up our memories? Henkel says this is true. 58. ________ “In order to remember, we have to review the photos carefully,” Henkel says. 59. ________第四节阅读表达（共5小题，计10分）Can you distinguish(区分)the fact from the fiction or the fake(的事)when you read news stories online every day? If not, a new game could give you a hand.The game BBC iReporter is designed to help young people understand what fake news stories are. It gives them the chance to take on the role of a reporter in the BBC newsroom. Before delivering a credible story(发布可靠的报道),players must make their own decisions about which information they should trust and where they should go to check their facts.The game is just one part of the BBC School Report national program to help 11-to-18-year-olds identify (确认) fake news, More than 100 BBC reporters are sent to 1,000 high schools across the U. K. to support the program by the BBC.Fran Unsworth, the director of BBC News, said, “It’s important that people have access (机会或权利) to news they can trust--and know how to distinguish between fact and fiction. "The move follows a year-long study by the University of Salford in England. According to the study, most of the children aged 9 to 14 said they knew what fake news was, but many of them could not always notice fake information when presented with them.60.Why is the game BBC iReporter designed?_________________________________________________________________61.What does a player do in the BBC iReporter?_________________________________________________________________62.Can an adult be a player in the BBC School Report national program?_________________________________________________________________63.How does the BBC support the national program?_________________________________________________________________64.According to the study, what do many of the children have difficulty with?_________________________________________________________________IV. 写作技能（三部分，共11小题，计32分）第一节语篇翻译（共5小题，计10分）65. Though you are a teenager now, there will come a time when you start to make money. While it may be fun to have your own money to spend, it can also be difficult trying to manage it properly. Here are some tips on how to manage your money.Use your money wisely.Most teenagers earn(获得) money for everyday use, or because you are saving up for something. 66. So when you receive your money, you must first decide what you want to do with it. However, try to avoid the temptation(诱惑)to spend it all in one go! 67. Remember: It takes a long time to earn money, but it goes very quickly.Bank your savings.68. 将你不需要的钱存在家里或银行。

湖南省长沙市师大附中教育集团2019-2020学年度九年级上第一次联考数学试卷(含答案)

湖南师大附中教育集团2019—2020学年度第一次九年级联考数学试题注意事项：1．答题前，请考生先将自己的姓名、准考证号填写清楚，并认真核对条形码上的姓名、准考证号、考室和座位号；2．必须在答题卡上答题，在草稿纸、试题卷上答题无效；3．答题时，请考生注意各大题题号后面的答题提示；4．请勿折叠答题卡，保持字体工整、笔迹清晰、卡面清洁；5．答题卡上不得使用涂改液、涂改胶和贴纸；6．本学科试卷共26个小题，考试时量120分钟，满分120分．一、选择题(本大题共12个小题，每小题3分，共36分．在下列各题的四个选项中，只有一项是符合题意的，请在答题卡中填涂符合题意的选项．)1.6＋2的大小在（）A．1和2之间B．2和3之间C．3和4之间D．4与5之间2．下列运算正确的是（）A．a4·a2＝a8B．a2＋a2＝2a4C．(a＋b)2＝a2＋b2 D．(－2a3)2＝4a63．太阳与地球之间的平均距离约为150 000 000 km，用科学记数法表示这一数据为（）A．1.5×108km B．15×107kmC．0.15×1010km D．1.5×109km4．2019年全国高中数学联赛，湖南师大附中入选省队人数、签约清北人数、一等奖人数均为全省第一．其中一等奖获奖人数附中及其他三所兄弟学校从高到低依次为：20，17，12，12.这组数据的中位数是（）A．17 B．12 C．14.5 D．15.55．如图，AB ∥CD ，EF 分别为交AB ，CD 于点E ，F ，∠1＝50°，则∠2的度数为（）A ．50°B ．120°C ．130°D ．150°6．如图，⊙O 的直径AB 垂直于弦CD ，垂足为E ，∠A ＝22.5°，OC ＝4，CD 的长为（）A ．22B ．4C ．42D ．87．如图，D ，E 分别是△ABC 中AB ，AC 边上的点，DE ∥BC ，下列结论错误的是（）A.AD AB ＝AE ACB.AD DB ＝AE ECC.AB DB ＝AC ECD.DE BC ＝AE EC8．x 1，x 2是一元二次方程x 2－7x ＋5＝0的两根，则实数1x 1＋1x 2的值为（） A ．－75B.75C ．－57D.579．如图，菱形ABCD 中，对角线AC 、BD 交于点O ，E 为边AD 中点，菱形ABCD 的周长为28，则OE 的长等于（）A ．3.5B ．4C ．7D ．1410．化简b 22a －b ＋4a 2b －2a的结果是（） A ．－2a －b B ．b －2a C ．2a －b D ．b ＋2a11．一次函数y 1＝kx ＋b 与反比例函数y 2＝m x的图象交于A (－1，2)、B (2，－1)两点，使y 1>y 2成立的自变量x 的取值范围是（）A ．－1<x <2B ．－1<x <0或x >2C ．x <－1或x >2D ．x <－1或0<x <212．如图，在平行四边形ABCD 中，∠ABC ＝78°，AE ⊥BC 于点E ，AE 交BD 于点F ，若DF ＝2AB ，则∠AFD 的大小是（）A ．62°B ．64°C ．66°D ．68°二、填空题(本大题共6个小题，每小题3分，共18分)13．因式分解：8a 2b －18b ＝____________．14．从大小形状完全相同，分别标有1，2，3数字的三张卡片中随机抽取两张，和为偶数的概率为__________．15．圆心角为120°的扇形的半径为3，则这个扇形的面积为________．16．如图，AB 为⊙O 的直径，C ，D 是⊙O 上两点，若∠ABC ＝50°，则∠D 的度数为________．17．化简：⎝⎛⎭⎫x 2＋4x －4÷x 2－4x 2＋2x＝____________． 18．已知关于x 的一元二次方程ax 2－(a ＋1)x －4＝0的两根分别为x 1，x 2，且－1<x 1<0，2<x 2<3，则实数a 的取值范围是____________．三、解答题(本大题共8个小题，第19、20题每小题6分，第21、22题每小题8分，第23、24题每小题9分，第25、26题每小题10分，共66分. 解答应写出必要的文字说明、证明过程或演算步骤)19．计算：（－2）2＋(－4)×⎝⎛⎭⎫－12－2－(1－2)0.20．解不等式组⎩⎨⎧x －22≤7－x 3，2－2x 3<－x 3＋x －24.21．为了解中考体育科目训练情况，某县从全县九年级学生中随机抽取了部分学生进行了一次中考体育科目测试(把测试结果分为四个等级：A 级：优秀；B 级：良好；C 级：及格；D 级：不及格)，并将测试结果绘制成了如下两幅不完整的统计图．请根据统计图中的信息解答下列问题：(1)本次抽样测试的学生人数是________人；(2)图1中∠α的度数是________，并把图2条形统计图补充完整；(3)该县九年级有学生4500名，如果全部参加这次中考体育科目测试，请估计不及格的人数为________．(4)老师想从4位同学(分别记为E 、F 、G 、H ，其中E 为小明)中随机选择两位同学了解平时训练情况，请用列表或画树形图的方法求出选中小明的概率．22．如图，AD是⊙O的弦，AB经过圆心O，交⊙O于点C，∠DAB＝∠B＝30°.(1)求证：直线BD与⊙O相切；(2)连接CD，若CD＝5，求AB的长．23.某商店计划购进一批A、B两种型号的计算器，若购进A型计算器10只和B型计算器8只，共需要资金880元；若购进A型计算器2只和B型计算器5只，共需要资金380元．(1)求A、B两种型号的计算器每只进价各是多少元？(2)该商店计划购进这两种型号的计算器共50只．根据市场行情，销售一只A型计算器可获利9元，销售一只B型计算器可获利18元．该商店希望销售完这50只计算器，所获利润不少于购进总成本的25%.则该商店至少要采购B型计算器多少只？24．如图，四边形ABCD中，AB＝AD，∠BAD＝60°，∠BCD＝30°，将AC绕着点A顺时针旋转60°得AE，连接BE，CE.(1)求证：△ADC≌△ABE；(2)求证：AC2＝DC2＋BC2；(3)若AB＝2，点Q在四边形ABCD内部运动，且满足AQ2＝BQ2＋DQ2，求点Q运动路径的长度．25.四边形的一条对角线将这个四边形分成两个三角形，如果这两个三角形相似(不全等)，那么我们将这条对角线叫做这个四边形的相似对角线．(1)如图1，四边形ABCD中，∠DAB＝100°，∠DCB＝130°，对角线AC平分∠DAB，求证：AC是四边形ABCD的相似对角线；(2)如图2，直线y＝－33x＋433分别与x，y轴相交于A，B两点，P为反比例函数y＝kx(k<0)上的点，若AO是四边形ABOP的相似对角线，求反比例函数的解析式；(3)如图3，AC是四边形ABCD的相似对角线，点C的坐标为(3，1)，AC∥x轴，∠BCA＝∠DCA＝30°，连接BD，△BCD的面积为 3.过A，C两点的抛物线y＝ax2＋bx＋c(a<0)与x轴交于E，F两点，记|m|＝AC ＋1，若直线y＝mx与抛物线恰好有3个交点，求实数a的值．26.如图，已知二次函数y＝ax2＋bx＋c(a≠0)的图象与x轴交于点A和点B(－2，0)，与交y轴于点C(0，4)．f(x0)表示当自变量为x0时的函数值，对于任意实数m，均有f(m－1)＝f(3－m)．(1)求该二次函数的解析式；(2)点Q是线段AB上的动点，过点Q作QE∥AC，交BC于点E，连接CQ.当△CQE的面积最大时，求点Q的坐标；(3)若平行于x轴的动直线l与该抛物线交于点P，与直线AC交于点F，点D的坐标为(2，0)．是否存在这样的直线l，使得△ODF是等腰三角形？若存在，请求出点P的坐标；若不存在，请说明理由．。

湖南省长沙市师大附中集团(广益实验中学)2019-2020年九年级第一学期第三次月考英语试卷(wor.pdf

师大附中集团（广益实验中学）2019-2020学年第一学期第三次月考试卷九年级英语总分：120分时量：90分钟考试时间：2019年12月II. 知识运用（两部分，共20小题，计20分）第一节语法填空（共10小题，计10分）21. —________ great progress you’ve made in English! Congratulations!—Thanks a lot!A. What aB. HowC. What22. On November 28,2018. Chinese football player, Wang Shuang, ________ AFC Women’sPlayer of the Year.A. is namedB. was namedC. named23. It’s ________ walk from our school to the shopping center where you can buy the dress.A. fifteen minutesB. a fifteen-minuteC. fifteen minute’ｓ24. Your little brother has fallen into sleep. Would you mind ________ the music?A. turning downB. to turn downC. turn down25. —What kind of shows do you like, talk shows or soap operas?—________. Only game shows can make me relaxed.A. BothB. NeitherC. Either26. I was really touched by the program “Touching China” introduced some of the most movingstories that happened in 2018.A. whichB. thatC. who27. —Have you moved into your new house?—Not yet. The roomsA. are paintingB. are being paintedC. are being painting28. —Shall I tell Mike about it?—No, you ________. I’ve told him already.A. mustn’ｔB. shouldn’ｔC. needn’ｔ29. —The sky looks terrible!—It will be worse ________ we take action to protect the environment.A. unlessB. ifC. when30. —When did the film My People, My Country start?—It ________ for twenty minutes.A.has begunB. has been onC. began第二节词语填空（共10小题，计10分）Last winter a friend invited us to help serve(招待) dinner at Tent City. A number of tents(帐篷)were 31 for the homeless in the area.I took my two boys with me. They were nine and five at the time. They had a lot of32 because this whole thing challenged(挑战)their common ideas about how people lived inthe world.“Why don’t they have homes?”“Why don’t they get food the way we do?”We talked through the 33 people end up in this situation and the importance of34 a safety “home”　for them. I explained that oftentimes, the only safety “home”　is otherpeople who are 35 to share some of their time and resources(资源).The people we served aged from the young to the elderly. Many of them were missing teethor had dirty clothes. To my surprise, they were quite 36 that I had brought the boys. Manysaid what fun it was to have active, joyful children around.After dinner, I saw my older son sitting together with several elderly gentlemen who weretalking about sports in front of a small television set. He was having a 37 time sharing andhearing stories.As some people returned to their tents, I heard him tell them, “Thanks so much for coming dinner with us.” I could see through their facial expressions that his simple words 38 themgreatly. I held his hand lovingly as we left to go home because it touched me too.It was a great reminder of how treating(对待)people with 39 , no matter who they are,can lift all of us up. Even it’s the longest40 for some of them.31. A. sent up B. set up C. cut up32. A. questions B. jokes C. stories33. A. excuses B. reasons C. lies34. A. drawing B. buying C. creating35. A. ready B. tired C. serious36. A. shameful B. thankful C. nervous37. A. great B. boring C. hard38. A. surprised B. disappointed C. touched39. A. purpose B. respect C. promise40. A. dinner B. holiday C. winterIII. 阅读技能（共三节，共24小题，计48分）第一节图表理解（共5小题，计10分）AMonarch SchoolGroup classes in art are offered every day. Nice and patient teachers are waiting for your child. Monthly shows and weekly Classes with guest artists. Art Program for beginners only.Tel: 650-720-1677www. monarch. comAlmaden SchoolEvery child can be different and special. Our Development Program helps students of grades 1-6 improve thinking skills through math, science, life skills, cultural activities and fun games.Tel: 650-403-357541. According to the chart(图表), we learn ________.A. guest artists will give classes for group classes of the Art ProgramB. only beginners are welcome by the Development ProgramC. the Development Program helps improve thinking skills42. The texts are most probably written for ________.A. teachersB. studentsC. parentsBLijiang River National Park, China Lijiang River is in Guilin. The limestonecaves(石灰岩洞)and green hills along theriver are amazing. The hills are different inshape. One looks like an elephant drinkingwater with its trunk(象鼻). People call the hill“Elephant Trunk Hill”. The best way to enjoyLijiang River is to take an 83-km-long boattrip from Guilin to Yangshuo.Serengeti National Park, Tanzania Do you love animals? The Serengeti NationalPark might be fun for you to visit. You can seesome big animals here, such as lions,elephantsand buffaloes(水牛). If you visit the park, youshould not miss the annual(每年的)animalmigration(迁徙). This is the most famousevent at the park.Lake District National Park, England The Lake District is E ngland’s largest nationalpark. In fact, it covers about 1 percent of allthe land area in Britain. As its name suggests,the park has the deepest lake in England. It is74 meters deep. The park is a great place forplaying water sports like sailing.43. Which of the following is NOT true?A. It’s a wise choice to take a boat to enjoy Lijiang River.B. The annual animal migration is worth watching for the visitors.C. Water sports are not allowed in the Lake District National Park.44. What is the common feature(特点)of these three parks?A. Man-made.B. Natural.C. Mountainous.45. The information might come from ________.A. a novelB. a science magazineC. a travel guide第二节短文阅读（共10小题，计20分）AZephyr is an 8-month-old yellow dog. She walks the halls of campus (校园) and even goes to class with students at Hutto High School in Texas, US.This school has a guide dog training program. It started two years ago. Zephyr is one of themany dogs who have been trained by students to become a guide dog for the blind. Many otherschools in Texas have similar programs.In this program, students first work as dog-sitters. They receive training and go to meetingswith Guide Dogs for the Blind, the largest guide dog school in North America.They help to take care of the dogs for a while before getting a dog of their own. Then, theystart to teach the dogs and train them in different environments. The student trainers will workwith the dogs for one year.Izabelle Harris, 15, joined the program about a year ago, first as a dog-sitter, and now as oneof the trainers. Zephyr is her dog. On one recent morning, she and other students trained their dogsto walk over water drainage grates(下水道盖), which dogs often avoid, as well as to avoid food onthe ground or other people trying to play with them. When the school bell rang, the dogs followedtheir trainers to the next class, sitting or lying quietly between their trainers’ feet.“Hopefully someday, Zephyr will be the eyes for someone,” Harris said.46. The program trains dogs to help ________.A. blind peopleB. lonely personsC. pet lovers47. What do we know about the guide dog training program?A. It has lasted for two years.B. It is only at Hutto High School.C. Zephyr was the first guide dog in the program.-sitters” mean?48. What does the underlined word “dogA. 驯狗员B. 狗保姆C. 兽医49. As trainers, students in the training program have to ________.a. learn how to take care of dogsb. keep the dogs for one yearc. work as a trainer first, then a dog-sitterA. a. cB. b. cC. a, b49. About lzabelle Harris, we learn that ________.A. she has been in the program for about one yearB. she trains her dog to play with people.C. her dog isn’t allowed into her classBI got into the teaching job by chance. When I was in 9th grade, my math teacher asked me toteach a class for a few students who were having difficulty with math. And believe me, I reallyenjoyed teaching that class and I never knew teaching would be so interesting. I loved myto answer the creative questions they asked.“students”, and was happyAfter my graduation, I worked as a software (软件) developer for a few years. But I realizedthat no job could provide me with the satisfaction that I experienced while teaching.I felt nervous on my first day of teaching. But now I can say that giving lessons was one ofthe best experiences of my life: I was a Computer Science major(专业),but I tried to help mystudents with subjects that were not within my field. Every morning I would feel energized andexcited thinking about the class and the bright faces that would be there to greet me, “Goodmorning, Madam. ”To me, each day was a new beginning, with new feelings and new experiences. I loved toopen their young minds and read their curious(好奇的)faces while they tried to deal with difficulttopics. It was very wonderful to motivate(激励)them to take part in the classroom, thinkcritically(批判地),question and also respect others’ views.Although the students didn’t always feel like it was easy, it was very exciting to prove tothem that they could really learn anything. That is why I loved to teach.________.51. The writer’s very first “students” were herA. teachersB. classmatesC. parents52. Why did the writer give up her job as a software developer?A. Because she needed better pay.B. Because she missed her old school.C. Because she couldn’t feel satisfaction of working.53. ________ might be the advantage for the writer to work as a good teacher.A. Her Computer Science majorB. Her love for children and educationC. Her experience as a software developer54. What can we infer(推断) from the last paragraph?A. The writer’s classes were hard to understand.B. Some of the students showed no interest in difficult points.C. Every student was cared, understood and respected in the writer’s classes.55. What can be the best title for the passage?A. Enjoy teaching, feel satisfaction.B. An unforgettable learning experience.C. How to build a good relationship with students.第三节语篇补全（共4小题，计8分）Years ago, Linda Henkel, an American scientist, was travelling at the Grand Canyon(美国大峡谷). “When I was at the canyon, someone came to the front, took a picture and walked away.“she recalls as she shares her travelling experience.” He didn’t even look at the scenery(风景)! It’s -Done!’”just like, ‘Got itHenkel is surprised by how much people depend on pictures for their memories. These days,birthday parties. and so on. 56. ________people take pictures before dinner, during friends’　However, according to He nkel’s research, the opposite is true.In her study, Henkel led a group of college students around a museum. She asked them tolook at 15 exhibits (展览品) carefully and then photograph(拍照)15 others.memory of the tour. She found that the students The next day, she tested the students’　remembered fewer details about the exhibits they had photographed.Henkel explained that when people rely on their cameras, they pay less attention to the eventthemselves. 57. ________So taking pictures may prevent our brains from remembering things and places. Butshouldn’t looking over the pictures wake up our memories? Henkel says this is true. 58. ________9. ________“In order to remember, we have to review the photos carefully,” Henkel says. 5 Why? There are just too many of them!A. Unluckily, most people never take the time to look over their pictures.B. So never taking a camera is a good choice.C. However, it happens only if we spend enough time on it.E. As a result, they often fail to remember their experiences well.D. They believe taking pictures will help them remember the moment.第四节阅读表达（共5小题，计10分）Can you distinguish(区分)the fact from the fiction or the fake(的事)when you read newsstories online every day? If not, a new game could give you a hand.The game BBC iReporter is designed to help young people understand what fake newsstories are. It gives them the chance to take on the role of a reporter in the BBC newsroom. Beforedelivering a credible story(发布可靠的报道),players must make their own decisions about whichinformation they should trust and where they should go to check their facts.The game is just one part of the BBC School Report national program to help11-to-18-year-olds identify (确认) fake news, More than 100 BBC reporters are sent to 1,000 highschools across the U. K. to support the program by the BBC.Fran Unsworth, the director of BBC News, said, “It’s important that people have access (机会或权利) to news they can trust--and know how to distinguish between fact and fiction. "The move follows a year-long study by the University of Salford in England. According tothe study, most of the children aged 9 to 14 said they knew what fake news was, but many of them could not always notice fake information when presented with them.60.Why is the game BBC iReporter designed?_________________________________________________________________61.What does a player do in the BBC iReporter?_________________________________________________________________62.Can an adult be a player in the BBC School Report national program?_________________________________________________________________63.How does the BBC support the national program?_________________________________________________________________64.According to the study, what do many of the children have difficulty with?_________________________________________________________________IV. 写作技能（三部分，共11小题，计32分）第一节语篇翻译（共5小题，计10分）65. Though you are a teenager now, there will come a time when you start to make money. While it may be fun to have your own money to spend, it can also be difficult trying to manage it properly. Here are some tips on how to manage your money.Use your money wisely.Most teenagers earn(获得) money for everyday use, or because you are saving up for something. 66. So when you receive your money, you must first decide what you want to do withit. However, try to avoid the temptation(诱惑)to spend it all in one go! 67. Remember: It takes a long time to earn money, but it goes very quickly.Bank your savings.68. 将你不需要的钱存在家里或银行。

湖南省长沙市湖南师大附中联考2019-2020学年中考数学模拟试卷

湖南省长沙市湖南师大附中联考2019-2020学年中考数学模拟试卷一、选择题1．在同一条道路上，甲车从A 地到B 地，乙车从B 地到A 地，乙先出发，图中的折线段表示甲、乙两车之间的距离y （千米）与行驶时间x （小时）的函数关系的图象，下列说法错误的是（）A ．乙先出发的时间为0.5小时B ．甲的速度是80千米/小时C ．甲出发0.5小时后两车相遇D ．甲到B 地比乙到A 地早112小时 2．如图，小正方形的边长均为1，则图中三角形（阴影部分）与△ABC 相似的是（）A. B. C. D.3．定义：在平面直角坐标系中，圆心坐标和半径均为整数的圆称为“整圆”．如图，直线l ：y ＝﹣34x+12与x 轴、y 轴分别交于A ，B 两点，点P 在x 轴上，⊙P 与l 相切，当P 在线段OA （点P 与点O ，A 不重台）上运动时，使得⊙P 成为整圆的点P 个数是（）A.3个B.5个C.7个D.9个4．估计的值在( )A.和之间B.和之间C.和6之间D.6和之间5．函数21k y x+=（k 为常数）的图象过点（2，y 1y 2），则y 1与y 2的大小关系是（） A ．y 1＜y 2 B ．y 1＝y 2 C ．y 1＞y 2 D ．与k 的取值有关6．下列说法中错误的是( ) ．A ．一个三角形中至少有一个角不少于60°B ．三角形的中线不可能在三角形的外部C ．直角三角形只有一条高D ．三角形的中线把三角形的面积平均分成相等的两部分7．如图，在菱形中，，，点是这个菱形内部或边上的一点，若以点，，为顶点的三角形是等腰三角形，则，（，两点不重合）两点间的最短距离为（）A. B. C. D.8．如图，在△ABC 中，AB ⊥AC ，AB=5cm ，BC=13cm ，BD 是AC 边上的中线，则△BAD 的面积是（）A.215cmB.230cmC.260cmD.265cm9．《庄子》一书里有：“一尺之棰（木棍），日取其半，万世不竭（尽，完）”这句话可以用数学符号表示：1＝23111++222+…+12n +…；也可以用图形表示．上述研究问题的过程中体现的主要数学思想是（）A ．函数思想B ．数形结合思想C ．公理化思想D ．分类讨论思想10．关于方程x 2+2x ﹣4＝0的根的情况，下列结论错误的是（） A ．有两个不相等的实数根 B ．两实数根的和为﹣2C ．没有实数根D ．两实数根的积为﹣4 11．我国古代伟大的数学家刘微将勾股形（古人称直角三角形为勾股形）分割成一个正方形和两对全等的直角三角形．后人借助这种分割方法所得的图形证明了勾股定理，如图所示若a ＝3，b ＝4，则该三角形的面积为（）A ．10B ．12C ．998D ．53412．如图，BD 为⊙O 的直径，点A 为弧BDC 的中点，∠ABD ＝35°，则∠DBC ＝（）A ．20°B ．35°C ．15°D ．45°二、填空题 13．在平面坐标系中，正方形ABCD 的位置如图所示，点A 的坐标为（1，0），点D 的坐标为（0，2），延长CB 交x 轴于点A 1，作正方形A 1B 1C 1C ，延长C 1B 1交x 轴于点A 2，作正方形A 2B 2C 2C 1，…按这样的规律进行下去，第2014个正方形的面积为_________。

2023-2024学年湖南长沙市师大附中教育集团中考英语全真模拟试题含答案

2023-2024学年湖南长沙市师大附中教育集团中考英语全真模拟试题含答案注意事项:1．答题前，考生先将自己的姓名、准考证号码填写清楚，将条形码准确粘贴在条形码区域内。

2．答题时请按要求用笔。

3．请按照题号顺序在答题卡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、试卷上答题无效。

4．作图可先使用铅笔画出，确定后必须用黑色字迹的签字笔描黑。

5．保持卡面清洁，不要折暴、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、—Do you prefer basketball with me?—No, I’d rather stay at home and watch TV.A．play B．to playC．playing D．played2、The public hope that Mercedes-Benz will provide better after-sales in the future.A．master B．service C．method D．situation3、—Lisa, you speak French？—Yes, but only a little.A．need B．must C．may D．can4、The number of the students in our class is _______than _______in yours.A．bigger, that B．more, those C．smaller, the ones D．larger, it5、The earth is the only planet __________ provid es us with everything we need. It’s our duty to protect it.A．who B．what C．that6、— Why do you prefer lemons to orange?— Because they taste ________.A．soft B．sour C．sweet D．terrible7、—Who is __________ young man with long hair? —He’s a friend of mine.A．a B．an C．the D．\8、---What are you going to do this weekend?---______. If there is enough time, I may go to Shanghai with my friends.A．It doesn’t matter B．It depends C．Don’t mention it D．Forget it9、--Where are you going? --To the libr ary. I’ve finished reading this book, so I am going to _____ itA．buy B．throw C．return D．borrow10、—I met your father in the street this morning.—Ah? .He flew to Europe yesterday!A．I’m not sure B．Never mind C．Y ou are kiddingⅡ. 完形填空11、In our life, it seems difficult to be polite to other people all the time. Many people become 1 to otherpeople very easily. Here are three pieces of 2 to help you be a polite person.You should say hello to other people with a smile, 3 it may be the first time you have met them. Nobody will feel strange or uncomfortable if 4 smile at someone when you first meet them. A sweet smile is the best way to show your kindness and start a conversation. Whenever you need help 5 someone, say “please” before asking him or her. If someone has helped you, don’t 6 to say “Thank you” in return. If you have done something wrong, be sure to say “Sorry”. Other people would be glad to help you in the future and these simple 7 will show how polite you are.In some situations, you may not 8 on someone’s opinions, If you disagree on what someone says, it’s best to be calm and polite. 9 the words carefully , and try to understand what the person is saying. If he becomes rude, keep quiet for a moment. When he calms down, tell him your idea more 10 . Let’s be a polite person! 1．A．young B．old C．rude2．A．advice B．news C．suggestion3．A．if B．though C．until4．A．you B．yourself C．your5．A．off B．about C．from6．A．forget B．remember C．require7．A．texts B．notes C．words8．A．check B．agree C．change9．A．Look for B．Listen to C．See10．A．quick B．sadly C．politelyⅢ. 语法填空12、用所给动词的正确形式填空Henry Ford was about seven years old when his father died. His mother found it difficult1．(support) the large family. However, she tried her best to do so. Also, she 2．(send) Henry,the eldest son, to school. At one time, Henry needed a grammar book for his study. His family was so poor that his mother could not afford one. One morning, Henry found that a deep snow had fallen, and the cold wind 3．(blow). "Ah,"he said, "it 4．(be) an ill wind that blows nobody good." With these words, he ran to the house of a neighbor, and offered his service to move away the snow around it. The offer5．(accept).When he finished the work, he received his pay. Then he went to another place for the same purpose, and then to anther, until he6．(earn) enough tobuy a grammar book.From that time, Henry was always the first in all his classes. He knew no such word as "fail", and he succeeded in allhe tried to do. Having the will, he always found the way.Ⅳ. 阅读理解A13、Every year on my birthday since I was 2，a white gardenia （栀子花）was sent to my house．No card ever came with it．Calls to the flower shop were not helpful at all．After some time I stopped trying to find out the sender's name and was just pleased with the beautiful flower，in soft pink paper．I couldn't stop imagining who the giver might be．Some of my happiest moments were spent daydreaming（幻想）about the sender．My mother encouraged these daydreams．She'd ask me if I had been especially kind to someone．Perhaps it was one of my classmates Perhaps it was the old man who I once helped．As a girl，I had more fun imagining that it might be a boy that I had met．A month before my high school graduation（毕业），my father died．I was so sad that I became completely uninterested in my coming graduation dance，and I didn't care whether I had a new dress or not．My mother，in her own sadness，would not let me miss （过）any of those things．She wanted her children to feel loved．In fact，my mother wanted her children to see themselves much like the gardenia：lovely，strong and perfect．My mother died ten years after I was married．That was the year the gardenia stopped coming．1．The writer received on her birthday since she was 2．A．a white gardeniaB．a cardC．a card and soft pink paperD．a gardenia and a card3．The writer was very when she was imagining who sent the flower．A．happy B．sadC．worried D．nervous4．It can be inferred （椎断）from the passage that ．A．the writer didn't get a new dress for the danceB．the writer probably joined in the graduation danceC．the writer's father died ten years earlier than her motherD．the writer's father received a gardenia on each of his birthdays5．The writer got the gardenias from on her birthdays．A．her classmate B．the old man C．the boy D．her mother6．The passage mainly talks about ．A．what a gardenia meantB．what a girl dreamed aboutC．how a mother loved her childrenD．how a daughter missed her father．B14、A farmer had a cow. He took very good care of this cow and one day when it was ill, he was very worried. He telephoned the vet. “What’s the problem?” The vet asked him when he arrived.“My cow's ill,” the farmer said. “I don’t know what's the matter with her. She’s lying down and won’t eat. She's making a strange noise.”The vet looked over the cow. "She's certainly ill," he said, "and she needs to take some very strong medicine."He took a bottle out of his box, put two pills into his hand and said, "Give her these. The pills should make her better."“How should I give them to her?” the farmer asked.The vet gave him a tube (管子)and said, "Put this tube in her mouth, then put the pills in the tube and blow. That'll make it."The next day the vet came to the farm again. The farmer was sitting outside his house and looked more worried.“How's your cow?” the vet asked.“No change,” the farmer said, “and I’m feeling very strange myself.”“Oh?” the vet said, "Why?"“I did what you said,” the farmer answered. “I put the tube in the cow's mouth and then put two pills down it.”“And?” the vet asked.“The cow blew first,” the farmer said.1．In the story, the vet must be _________.A．the farmer's friend B．a milk factoryC．a hospital for cows D．a doctor for animals2．The farmer asked the vet for help when his cow _______A．couldn't lie down B．didn't eat the pillsC．couldn't make any noise D．was ill3．What medicine did the vet give the farmer?A．Bottle of pills. B．A long tube.C．Two pills. D．A small box.4．The vet taught the farmer how _________.A．to blow the tube B．to make the cow take the pillsC．to take the medicine D．to put the tube in his mouth5．Which of the following is true?A．The farmer ate the pills himself.B．The cow got better after taking the medicine.C．The vet came to help farmer change the cow the next day.D．The farmer waited for the vet outside his house the next day.C15、A well-known saying goes l ike this, “mind at peace give you coolness”. As the temperature rises day by day, it’s time to create some coolness besides keeping calm.Chinese people have some traditional ways to reduce the summer heat without air-conditioners (空调). Such ways include healthy food and tools that also help people experience the beauty of summer. Here are some choices which will bring you a surprisingly cool experience.The first one is plum juice(酸梅汤). It is a traditional healthy drink in summer in Beijing. It can reduce summer heat in the human body. People can have the juice all year round, yet summer is the best time.The second is a bamboo mat. It is a lovely must-have that can cool your summer with a naturally nice smell. There are many sizes for beds and chairs and s o on. It’s really comfortable to lie on a bamboo mat and drink some plum juice while watching TV in summer.The last one is Chinese fans. Available in many shapes and materials, Chinese fans are special for the water-ink paintings they carry. Fans made of silk were often used by women, especially young unmarried ladies in ancient China. They used fans to hide their mouths or aces when they wanted to avoid showing shyness. If you want to lead alow-carbon(低碳) style of living, a fan is necessary in summer.根据短文内容选择最佳答案。

2024学年湖南省长沙市湖南师大附中教育集团重点中学中考英语仿真试卷含答案

2024学年湖南省长沙市湖南师大附中教育集团重点中学中考英语仿真试卷含答案注意事项1．考生要认真填写考场号和座位序号。

2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。

第一部分必须用2B 铅笔作答；第二部分必须用黑色字迹的签字笔作答。

3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。

Ⅰ. 单项选择1、The public hope that Mercedes-Benz will provide better after-sales in the future.A．master B．service C．method D．situation2、I left a message to my parents yesterday, but ______ of them called me back.A．both B．none C．neither3、Our geography teacher told us Columbus（哥伦布）America in 1492.A．created B．invented C．discovered D．beat4、My mother asks me ________ computer games before finishing my homework.A．not to play B．not play C．to not play D．not playing5、I don′t care how you do the job. I only care it can be done. Just give me a date!A．where B．what C．why D．when6、—Mr. Wang，could you tell me the magazine?—At most ten days.A．how often I can keepB．how often can I keepC．how long I can keepD．how long can I keep7、一Most of the wild animals are because of their bad living environment.一So we must do something to save them.A．in need B．on dutyC．at work D．in danger8、— May I take this magazine out of the reading room?—No, you _______. It’s against the rule.A．needn’t B．mustn’t C．won’t D．shouldn’t9、The government nature parks to protect the wild animals.A．thought of B．took awayC．set up D．looked up10、―Which magazine do you like better, Let's talk in English or English Salon?―I like of them. They are useful for English learning.A．all B．both C．either D．neitherⅡ. 完形填空11、完型填空请认真阅读下面短文，从短文后各题所给的ABCD四个选项，选出最佳选项，并在答题卡上将该项涂黑。

2023-2024学年湖南省长沙市师大附中教育集团—重点达标名校中考试题猜想英语试卷含答案

2023-2024学年湖南省长沙市师大附中教育集团—重点达标名校中考试题猜想英语试卷含答案请考生注意：1．请用2B铅笔将选择题答案涂填在答题纸相应位置上，请用0．5毫米及以上黑色字迹的钢笔或签字笔将主观题的答案写在答题纸相应的答题区内。

写在试题卷、草稿纸上均无效。

2．答题前，认真阅读答题纸上的《注意事项》，按规定答题。

Ⅰ. 单项选择1、Everyone knows fire is very useful in our daily life, it is also dangerous.A．so B．or C．because D．but2、Betty you the answer as soon as she works it out later.A．tells B．told C．will tell D．is telling3、—Let’s volunteer our free time to help the people in trouble, shall we?—OK, your idea ___________ great.A．tastes B．feels C．looks D．sounds4、Linda will never forget the words her father told her.A．that B．who C．where D．what5、—Don’ t smoke here, Dad. Smoking ________ in public places.—Oh, sorry. I will stop right now.A．isn’t allowed B．aren’t allowed C．doesn’t allow D．won’t allow6、-- ____ people are there in your family, Jack?--Four. They are my father, my mother, my sister and I.A．How much B．How many C．How long D．How often7、______ dangerous it is to ride fast on a busy road!A．What B．What a C．How D．How a8、— These problems will lead to the failure (失败) of the plan.— So we must solve them first.A．create B．cause C．control9、—is the bridge?—It’s about 2 kilometres long.A．How far B．How long C．How wide D．How deep10、— Could you go swimming with me this afternoon, Tom?—_______, but I have to do the chores first.A．I’d like to B．Of course not C．No, I couldn’tⅡ. 完形填空11、There was a woman in Detroit(底特律), who has two sons. She was worried 1 them, especially the younger one,Ben, 2 he was not doing well in school. Boys in his class made fun of him because he seemed so slow.The mother decided that she would, herself, have to get her sons to do better in school. She told them to go to the Detroit Public Library to read a 3 a week and do a report about it for her.One day, in Ben’s 4 the teacher held up a rock and asked if anyone knew it. Ben put up his hand and the teacher let him speak. “Why did Ben raise his hand?” the class wondered. He 5 said anything; what could he possibly want to say?Well, Ben not only 6 the rock: he said a lot about it. He named other rocks in its group and even knew 7the teacher had found it. The teacher and the students were 8 . Ben had learned all this from doing one of his book 9 .Ben later went on to the top of his class. When he finished high school, he went to Yale University and at last became one of the best doctors in the United States.After Ben had grown up, he 10 something about his mother that he did not know as a child. She, herself, had never learned how to read.1．A．about B．on C．with D．over2．A．because B．so C．but D．though3．A．notice B．message C．book D．question4．A．class B．room C．house D．library5．A．always B．even C．quickly D．never6．A．found B．played C．knew D．threw7．A．whether B．when C．where D．why8．A．afraid B．surprised C．worried D．unhappy9．A．pictures B．exercises C．shops D．reports10．A．learnt B．remembered C．understood D．guessedⅢ. 语法填空12、Not everyone has the chance 1．( be ) a detective(侦探). But I got one when I was 13 years old. It happened in 1988. One afternoon, I 2．( walk ) down the street when I saw my father's new car. I expected 3．(meet) my father, but to my surprise, I saw a young woman driving instead. "My father's car 4．(steal)" I thought. So I quickly stopped a taxi and got in. I said to the driver, "Please 5．(follow) that new car in front." And I told him why.The taxi driver had a car phone, and I asked him to call the police. Soon we heard the sound of a police car and its loudspeaker. The police told the woman to stop her car. Our car came to a stop, too. I got out right now and 6．(say) to the woman, "It's not your car. It's my father's."The woman smiled and said, "Oh. Y ou're Mr. Johnson's younger son, right? I 7．see) your photo at your father's office." Before I could say another word, the woman explained that she was my father's new assistant.My father asked her to take his computer to the shop to have it repaired. He lent his car. After 8．(hear) her words, we called my father and he told us what she said was true. The police and the taxi driver laughed I felt very sorry. It was both the first and last time for me to work as a detective. Don't you think my story funny?Ⅳ. 阅读理解A13、“My dear Mr Bennet,” said his lady to him one day, “have you heard that Nethe rfield Park is let (出租) at last?”Mr Bennet replied that he had not.“But it is,” returned she, “for Mrs Long has just been here, and she told me all about it.”Mr Bennet made no answer.“Do not you want to know who has taken it?” cried his wife impatientl y“You want to tell me, and I have no objection (反对) to hearing it.”This was invitation enough.“Why, my dear, you must know, Mrs Long says that Netherfield is taken by a young man of large fortune (财富) from the north of England; that he came down on Monday to see the place, and was so satisfied with it that he agreed immediately with Mr Morris, the owner of Netherfield, and some of his servants are to be in the house by the end of next week.”“What is his name?”“Bingley.”“Is he married or single?”“Oh! Single, my dear, to be sure! A single man of large fortune; 4 or 5,000 a year. What a fine thing for our girls! It is probable that he may fall in love with one of them, and so you must visit him as soon as he comes.”“I see no chance for that. You and the girls may go, or you may send them by themselves, which perhaps will be still better; for, as you are as handsome as any of them, Mr Bingley might like you the best of all.”“But, my dear, you must indeed go and see Mr Bingley when he comes into the neighbourhood.”“It is more than I can be sure, I assure (向……保证) you.”“But consider your daughters. Sir William and Lady Lucas have decided to go, for in general, you know they visit no new comers. Indeed you must go, for it will be impossible for us to visit him, if you do not.”But in fact Mr Bennet was among the earliest of those who waited to visit Mr Bingley. He had always planned to visit him, though to the last always assuring his wife that he should not go.1．How did Mrs Bennet feel when she heard that Bingley would move there?A．Excited and hopeful. B．Nervous and curious.C．Surprised and crazy. D．Pleased and proud.2．Why did Mr Bennet show no interest in Mr Bingley’s moving there when his wife talked about it?A．Because his daughters were not pretty enough.B．Because his wife was prettier than his daughters.C．Because he didn’t care about his daughters’ happiness.D．Because he didn’t want to show his true feelings to others.3．What does the underlined word “that” mean?A．Mr Bingley had decided to live there.B．Mr Bennet himself would visit Mr Bingley.C．Mr Bingley would like Mrs Bennet best.D．Mr Bingley would fall in love with one of their daughters.4．Why did Mrs Bennet mention “Sir William and Lady Lucas”?A．To show Mr Bingley was well worth visiting.B．To show Sir William and Lady Lucas were their friends.C．To show it was polite for a couple to visit a new comer together.D．To show Sir William and Lady Lucas were too proud to get along well with.B14、In front of my daughter, Shelly, was a bowl filled with cabbage. She hated cabbage. She only sat there in silence with tears in her eyes.“Shelly, my dear, why don’t you eat a little? If not, your mum will shout at us.”Shelly didn’t feel happy. “OK, dad. I will eat, just a little.” Then Shelly said, “Dad, if I eat it all, will you give me what I want?”“Yes.”Slowly she began to eat. It took her almost half an hour to finish all the food in the bowl. Then she came up to me and said, “Dad, I want to have my hair cut off!”“Shelly, why don’t you ask for something else? If we see your head like that, we’ll feel very sad,” I said.“But Dad, you promised! Now you’re going back on your words. ”I had to keep my promise. Shelly had all her hair cut off. She smiled.On Monday morning, I took Shelly to schoo l. Just when I arrived, a boy got out of a car and shouted, “Shelly, please wait for me!”Guess what? The boy had no hair, either.“Sir, your daughter is great!” a man got out of the car and said, “This boy is my son, Harish. He has cancer. He lost his hai r when he got ill. Shelly cut hers off so Harish felt less different. She is a special girl.”I stood for a while, “My little daughter, you teach me how selfless real love is!”1．Shelly _____________ before she ate her meal.A．felt happy B．felt unhappyC．cut off her hair D．shouted at her dad2．In order to get what she wanted, Shelly ate ______________ at last.A．all the food in the bowl B．nothingC．just a little of the cabbage D．everything except the cabbage3．By cutting off her hair, Shelly only meant _____________.A．to tell people she was selflessB．to become more differentC．to look more special and beautifulD．to show her care and love for HarishC15、This story happened three years ago. Jack was an eight-year-old boy at that time. He was a good pupil. He was good at every subject at school. But he could not get up early. He often slept until nine or ten o’clock in the morning. So he was often late for school.Jack’s mother didn’t want him to be late for school again. So she bought him a clock. She said to him, “ You must get up when you hear the clock ring.”“Yes, Mum.” said Jack. After that Jack got up at twenty to seven when he heard the clock ring.One day his mother forgot to make the clock ring at the usual time. And the next m orning Jack didn’t get up.It was six forty-two at that moment.It was time for breakfast. Mother went to see him. Jack was still in bed and his eyes were open.“Why didn’t you get up? ” Mother was angry.“You told me to get up when I heard the clock ring. So I am waiting for the bell.”“Mum, is the clock still sleeping ?” Jack asked.1．How old was Jack when the story happened?A．Ten. B．Nine. C．Seven. D．Eight.2．Jack’s mother bought him a clock, because______.A．she liked it B．she didn’t want Jack to be late for school C．Jack liked it D．she lost one3．What time did Jack usually get up after he had the clock?A．7∶20. B．6∶20. C．6∶40. D．7:40.4．What happened to Jack one day when the clock didn’t ring?A．He didn’t get up all the morning.B．He got up early.C．He got up late. D．He didn’t have breakfast.5．Jack still stayed in bed to wait for ______.A．the breakfast B．the bell C．his mother D．his bagD16、1．（小题1）Diamond House was built_____.A．about twenty years ago B．hundreds of years agoC．in 1984 D．about ten years ago2．（小题2）Seaview is_____ more expensive than Sunshine Apartment.A．thirty-four thousand dollars B．twelve thousand dollarsC．five thousand dollars D．twenty-two thousand dollars3．（小题3）Which of the following is true?A．Seaview has got 3 bedrooms and two kitchens.B．Diamond House has got a garden and a garage.C．Diamond House is cheaper than Sunshine Apartment.D．Sunshine Apartment has got a small garden.4．（小题4）If I like doing shopping in the city center every day, I should buy _____. A．Seaview B．Sunshine ApartmentC．Diamond House D．None of them5．（小题5）The Smiths want to buy a house with 2 bedrooms, a bathroom, a living room and a garage. Which one do they choose?A．Seaview B．Sunshine ApartmentC．Diamond House D．None of themE17、4-Day Beijing Culture Group TourAre you new to Shanghai? Do you want to see more of China? If the answer is yes, how about going to Beijing for the weekend? Visit the Great Wall and other places of interest, and enjoy Beijing Roast Duck.Tour price: $590Call us! 800-820-62228-Day Colorful Yunnan Group TourIf you like a spring climate and clean air, then Yunnan is the place for you! Another true highlight(亮点) of the area is experiencing the cultures of minorities(少数民族)that live in this area.Places to visit: Kunming, Dali, LijiangTour price: $1,290Call us: 800-820-81884-Day Beautiful Guilin Private TourAre you tired of city life? Do you want some fresh air? Then come to Guilin and Y angshuo for a few relaxing days to enjoy the river life, or just take it easy in one of the many cafes and bars.Tour price:1person $6302-5persons $5656-9persons $527Call us: 800-810-65625-Day Sanya Private TourSanya is famous for its wonderful sunshine, white sandy beaches and clear water. Instead of a busy trip, you can relax here by walking along the beaches and enjoying the fresh air!Tour price:1person $5692-5persons $5486-9persons $535Call us! 800-810-52221．If you want to take a trip to the beach, you should call _______.A．800-810-6562 B．800-820-6222C．800-820-8188 D．800-810-52222．If you take the "4-Day Beautiful Guilin Private Tour", you will be able to _________.A．visit the Great Wall B．enjoy the river lifeC．enjoy the spring climate D．experience city life3．How long will the " Beijing Culture Group Tour" last?A．Four days. B．Five days. C．A week. D．Eight days.4．Mrs. Li plans to take the "5-Day Sanya Private Tour" with her two daughters. How much do they need to pay?A$1,890.A．$1,707. B．$1,644. C．$1,770.5．If you take the "____", you will be able to experience different cultures.A．4-Day Beijing Culture Group TourB．8-Day Colorful Yunnan Group TourC．4-Day Beautiful Guilin Private(私人的) TourD．5-Day Sanya Private TourF18、Jess really felt very happy．When he arrived at his seat in the classroom that morning，he found an invitation on his desk．It was from several of his classmates asking him to join them on a camping trip．This was the first time he was asked to join in an out-of-school activity．Why were they asking him now? Nobody seemed to like him．In fact, he had been so lonely that he drowned his feelings with food. As a result, he had put on a lot of weight, and this gave the kids something more to make fun of him．Cindy, who was standing near Jess when he read the invitation, went out quickly to tell the others that the trick had worked．Everyone was pleased that Jess thought that was true．But there was no camping trip．The whole thing was made up．At first, Cindy thought it was fun．But later, when Jess told her that he was going to buy a sleeping bag with his savings, Cindy had a second idea．She knew that Jess’s family had little money, and she hated to see him spend his savings on something he would never use．Cindy also hated to tell Jess the truth．Her close friends would be angry with her．What could she do now?1．The underlined sentence “…he drowned his feelings with food” means“________”．A．he ate a lot to make himself feel less lonely B．he asked for a lot of food from his classmates C．he brought his food to his classmates D．he had a lot of food to put on weight2．What would happen if Cindy told Jess the truth?A．Jess would go on the camping trip himself．B．Jess’s family would be angry with Cindy．C．Cindy might have trouble with her friends．D．Jess would be thankful to his classmates．3．If Jess really bought a sleeping bag，____________．A．everyone else would also buy one B．it would be the best in the classC．Cindy would pay for it D．he would have it for no use4．From the story we can guess__________．A．everybody would go camping except Jess B．Jess had few friends in the classC．Cindy was Jess’ best friend in the class D．Jess joined in many out-0f-school activitiesⅤ.书面表达19、根据要求完成小作文三年初中生活就要结束了，你一定收获很多。

2024届湖南长沙市师大附中教育集团中考英语最后冲刺模拟试卷含答案

2024届湖南长沙市师大附中教育集团中考英语最后冲刺模拟试卷含答案注意事项：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、–Would you mind if I borrow your digital camera?--___________. Because I stored plenty of important pictures in it.A．Y es, I’d be glad to.B．Sorry, I’m afraid I can’t.C．No problem.D．Y es, of course.2、—It’s very kind of Lucy to prepare all the things for the picnic.— Do you mean we bring anything?A．can’t B．shouldn’t C．needn’t D．mustn’t3、He is ______honest and hard-working boy．So he should be given ______ second chance.A．a; a B．the; the C．an; the D．an; a4、How much she looked without her glasses!A．well B．good C．best D．better5、Tony is a quiet student，____ he is active in class.A．so B．and C．but6、— What shall we do now?—__________ it’s raining hard, let’s stay at home.A．So B．Since C．Though D．Otherwise7、—Do you know ________?—Yes, there is. It is just across from the cinema.A．where the bookstore is B．how I can get to the bookstoreC．when the bookstore opens D．whether there is a bookstore near here8、Sally, this is _____ time you’ve asked me about that matter. What’s wrong with you?A．three B．the three C．third D．the third9、— What were you doing when we were playing basketball yesterday afternoon?— I ______ the classroom.A．was cleaning B．have cleanedC．will clean D．clean10、We must be more careful and try to /ə'vɔɪd/ making the same mistakes.A．aloud B．allow C．avoid D．affordⅡ. 完形填空11、I know that there are times when friends are away from each other for a while-or even forever-and that your lives take different 1 . Yet, I always hope for a happy ending. I know that friends reconnect again if possible.My friend Julie and I had a long period in our 2 . We used to see each other daily. I would eat brown rice in her kitchen while we 3 our secrets.Later, we celebrated each other’s 4 . My husband and I welcomed J ulie’s first son (born on my birthday). By the time he was learning to walk, Julie and her family had moved to another 5 . We spoke on the phone sometimes and exchanged Christmas cards.After they welcomed their third son, they moved to Edmonton, which is a 6 city. We haven’t seen each other since then. They changed their phone numbers. I received a 7 from her, but I couldn’t find that envelope later. Ie-mailed her a few times, 8 didn’t get a reply.It was 9 not to be in touch with an old friend. I let it go. I knew that Julie and I would reconnect again if possible. So I 10 it go.Last year, Julie’s husband got in touch with me on Facebook. I felt11 bad, and soon my feeling 12 true: Julie had passed away the month before. She died of cancer.I 13 that I had not been part of Julie’s support system, or the last years of her joyous, painful time on Earth. I cried. I’m so sorry, Julie, for14 on more chances.Last week, I donated my hair in 15 of Julie to make wigs (假发) for cancer patients. It was a small way of showing that I loved her and will never forget her. And that I look forward to us reconnecting again – if possible . 1．A．times B．paths C．methods D．actions2．A．friendship B．conversation C．relationship D．direction3．A．talked B．collected C．shared D．felt4．A．birthdays B．successes C．victories D．weddings5．A．village B．town C．city D．country6．A．bigger B．farther C．smaller D．nearer7．A．gift B．message C．letter D．call8．A．but B．and C．or D．so9．A．silly B．painful C．harmful D．impolite10．A．make B．let C．hear D．watch11．A．something B．anything C．everything D．nothing12．A．sounded B．looked C．turned D．proved13．A．thought B．forgot C．regretted D．believed14．A．expecting B．refusing C．promising D．receiving15．A．need B．fear C．front D．memoryⅢ. 语法填空12、阅读下面短文，在空白处填入一个适当的词，或填入括号中所给单词的正确形式。

2023年湖南省长沙市师大附中教育集团—重点达标名校中考押题语文预测卷含解析

2022-2023中考语文模拟试卷考生须知：1．全卷分选择题和非选择题两部分，全部在答题纸上作答。

选择题必须用2B铅笔填涂；非选择题的答案必须用黑色字迹的钢笔或答字笔写在“答题纸”相应位置上。

2．请用黑色字迹的钢笔或答字笔在“答题纸”上先填写姓名和准考证号。

3．保持卡面清洁，不要折叠，不要弄破、弄皱，在草稿纸、试题卷上答题无效。

一、积累1．下列词语中没有错别字的一项是（）A．驻扎剃须刀按图索骥不容质疑B．坐标洽谈会包罗万象恻隐之心C．宣泄满堂采德高望重等闲之辈D．踊跃路由器逢场做戏甘拜下风2．下列句子中，修辞方法运用分析不正确的一项是A．在古代文学作品中，借代是很常见的手法，例如：“千里共婵娟”中“婵娟”代指“月亮”，“留取丹心照汗青”中“汗青”代指“史册”。

B．“这块水晶里，包着红屋顶，黄草山，像地毯上的小团花的灰色树影。

”一句中的“水晶”使用了比喻的修辞手法。

C．“这时雨也并不可怕，因为你浑身的毛孔都热得张开了嘴，巴望着那清凉的甘露”一句中将“毛孔”比作“嘴”，很形象。

D．设问在句中起强调的作用，比如“可我为什么今天听雨竟也兴高采烈呢？这里面并没有多少雅味，我想到的主要是麦子，是那辽阔原野上的青青的麦苗。

”3．下列各项中，有语病的一项是（）A．读了恶书、烂书，等于给脑海中输送了负能量，还不如不开卷，任凭风霜雪雨来教导。

B．在伟人传记的字里行间汲取精神养分，让自己的身心变得充盈富足起来，也就有了对抗社会风浪袭击。

C．要是在人生观、价值观上好好培育，除草，驱虫，施肥，灌溉，“种心”也就收获了“心正”。

D．如果生命的长度没法把控，那么我们就应该尽量延伸生命的宽度。

4．依次填入下面文段横线处的语句，衔接最恰当的一组是（）“恰”在诗中竟然这样的传神。

真正的好文字也是恰好。

①我最喜欢的是后两句，“恰恰”多有意思的词语，生动鲜活，惟妙惟肖，有音律之美。

②小时候读杜甫的诗“黄四娘家花满蹊，千朵万朵压枝低。

留连戏蝶时时舞，自在娇莺恰恰啼。