武威市洪祥中学2018年秋九年级(上)数学第一次月考试卷附答案解析
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九年级数学答案一、选择题AAADA BCBBB二、填空题11、312、或13、-314、_115、-216、417、218、三、解答题19.解整理得;整理得,;整理得,;整理得∵,,∴∴,.20.解:∵,∴不论取何实数,该方程都有两个不相等的实数根;将代入方程得,,解得,;方程为,即,设另一根为,则..21.解:(1)该商场投资的月平均增长率是x则11(1+x)2=18.59 得x=该商场投资的月平均增长率是.(万元),(万元),答:该商场三个月为购进商品共投资万元.22.解:∵长方形绕顶点旋转后得到长方形,∴是旋转角,即,∴旋转角度是;根据旋转的性质:,,则是等腰直角三角形的性质.23.解:三角形是由三角形向上平移个单位,再向左平移个单位得到的.24.解:(1)把A(1,a)代入2y x=得1a=∴A(1,1)(2)存在.这样的点P有四个,即1234((2,0),(1,0)P P P P25.解: (1) 把 A(1,b) 分别代入y =ax 2和y =2x -3可得:⎩⎨⎧=-=b ba 32所以⎩⎨⎧-=-=11b a (2) 把 A(1,-1)代入y =ax 2(a ≠0),可得a=-1,所以y=-x 2, 其顶点和对称轴分别是(0,0)和y 轴。
(3)当x <0时,二次函数y =-x 2中的y 随x 的增大而增大; 26. 解:设售价定为元/件. 由题意得,,∵,∴ 当时,有最大值360.答:将售价定为14元/件时,才能使每天所赚的利润最大,最大利润是360元.。
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--环县虎洞镇初级中学九年级上第二次月考数学试卷一、选择题(每题3 分,共 24 分)1.已知关于x的一元二次方程x22x a有两个相等的实数根,则 a 的值是()A. 4B .- 4 C . 1 D .- 12.如果x2x 10 ,那么代数式 x3 2 x27 的值是()A 、 6B 、8C、 -6D、—83.如图, 抛物线y ax 2bx c(a0)的对称轴是直线x=1,且经过点 P( 3,0),则abc的值为()--A. 4B. 3C. 2D. 17.在同一坐标系内,一次函数y=ax+b 与二次函数y=ax 2+8x+b 的图象可能是--支球队参赛,根据题意列出的方程是________________________________ .10.如图,二次函数yax2bx c 的图象开口向上,图象经过点(-1, 2)和( 1, 0),且与 y 轴相交于负半轴.给出四个结论:①abc 0 ;② 2a b 0 ;③ a c 1;④ a 1 ,其中正确结论的序号是 ___________----15.若二次函数 y 2x 2的图象向左平移 2 个单位长度后, 得到函数 y 2(xh)2 的图象, 则 h=三、解答题(共 55 分)x 1 3x ( )3 12x11( )16.当满足条件x( x 4) (x 时,求出方程4) 22317.关于 x 的方程 x 2- 2x + k - 1= 0 有两个不等的实数根.(1)求 k 的取值范围; ( 2)若 k + 1 是方程 x 2-2x + k -1= 418.解下列方程( 1)( 2x - 1) 2— 25 = 0 ; ( 2) y 2=2 x 4 0的根21.为落实国务院房地产调控政策,使“居者有其屋".某市加快了廉租房的建设力度,2013年市政府共投资 3 亿元人民币建设了廉租房12 万平租( 3) x( x +3 ) = 2— x .房,若在这两年--( 1)求( 2)工厂为获得最大利润,应选择生产哪个档次的产品?并求出当天利润的最大值.19.先化简,再求值:(+2﹣x)÷,其中 x 满足 x2﹣4x+3=0.20.已知关于 x 的一元二次方程x22k 1 x k2k0 .( 1)求证:方程有两个不相等的实数根;----参考答案1. D【解析】试题分析:根据题意得: 4- 4×1×(- a ) =0,解得: a=- 1. 考点:根的判别式. 2. C【解析】此题考查代数式的化简和求值、考查整体代换思想的应用;由已知 得 到 x 2x 1 , 所 以7. C .【解析】试题分析:函数值y=所以,两个同一点,故由 A 、C 选向向上,所以, a > 所以,一次 限,所以, A3232 222x 2 x7 xxx7( x x ) 故选 C .x 7 x,所以选 C ;此题不易把方程解出后代入求值, 因为次方程的根是无理数,且出现 3 次方的计算,比较麻烦;3. A. 【解析】试 题 分 析 : 因 为 抛 物 线y ax 2bx c (a 0) 的对称轴是 直线 x=1,且经过点 P ( 3, 0),所以 根据对称性得抛物线与 x 轴的另一个 交 点 是 ( —1,0 ) , 代入y ax 2bx c(a 0)得a b c =0,故选: A.考点:抛物线对称性 . 4. B【解析】试题分析:由图象的位置可设解析式为 y=a [x —(—1)](x —3) ,将( 0,—3 )代 入得,—3=a [0-(-1)](0—3) ,解得 a=1,所以解析式为 y=( x+1)(x-3)=x 2﹣2x﹣故考 5. 【 试边完合方配=5故考法6.【试点由--x||y |=6入,得 x ( —x+5 ) =± 6,22,则 x -5x+6=0 或 x —5x —6=0 ∴每个方程有两个不相等的实数根 故选 A .考点:一次函数综合题.考点: 1。
武威市(凉州区)2018年初中毕业、高中招生考试数学试卷一、选择题:本大题共10小题,每小题3分,共30分.每小题只有一个正确选项.1. -2018的相反数是()A. -2018B. 2018C.D.【答案】B【解析】分析:直接利用倒数的定义进而分析得出答案.详解:-2018的倒数是:-.故选B.点睛:此题主要考查了倒数,正确把握倒数的定义是解题关键.2. 下列计算结果等于的是()A. B. C. D.【答案】D【解析】【分析】A、根据同底数幂的乘法法则计算.B、不是同类项,不能合并.C、不是同类项,不能合并.D、根据同底数幂的乘法法则计算;【点评】考查同底数幂的除法,合并同类项,同底数幂的乘法,熟记它们的运算法则是解题的关键.3. 若一个角为,则它的补角的度数为()A. B. C. D.【答案】C【解析】【分析】两个角的和等于则这两个角互为补角.【解答】一个角为,则它的补角的度数为:故选C.【点评】考查补角的定义,熟练掌握补角的定义是解题的关键.4. 已知,下列变形错误的是()A. B. C. D.【答案】B【解析】【分析】根据两内项之积等于两外项之积对各选项分析判断即可得解.【解答】由得,3a=2b,A. 由得,所以变形正确,故本选项错误;B. 由得3a=2b,所以变形错误,故本选项正确;C. 由可得,所以变形正确,故本选项错误;D.3a=2b变形正确,故本选项错误.故选B.【点评】考查比例的性质,熟练掌握比例的性质是解题的关键.5. 若分式的值为0,则的值是()A. 2或-2B. 2C. -2D. 0【答案】A【解析】【分析】分式值为零的条件是:分子为零,分母不为零.【解答】根据分式有意义的条件得:解得:故选A.【点评】考查分式值为零的条件,分式值为零的条件是:分子为零,分母不为零.6. 甲、乙、丙、丁四名同学在一次投掷实心球训练中,在相同条件下各投掷10次,他们成绩的平均数与方差如下表:甲乙丙丁平均数(米)11.1 11.1 10.9 10.9方差 1.1 1.2 1.3 1.4若要选一名成绩好且发挥稳定的同学参加比赛,则应该选择()A. 甲B. 乙C. 丙D. 丁【答案】A【解析】【分析】根据平均数和方差的意义解答.【解答】从平均数看,成绩好的同学有甲、乙,从方差看,甲、乙中,甲方差小,甲发挥稳定.故选A.【点评】考查平均数和方差的意义,方差越小,乘积越稳定.7. 关于的一元二次方程有两个实数根,则的取值范围是()A. B. C. D.【答案】C【解析】【分析】关于的一元二次方程有两个实数根,得解不等式即可. 【解答】关于的一元二次方程有两个实数根,得解得:故选C.【点评】考查一元二次方程根的判别式,当时,方程有两个不相等的实数根.当时,方程有两个相等的实数根.当时,方程没有实数根.8. 如图,点是正方形的边上一点,把绕点顺时针旋转到的位置,若四边形的面积为25,,则的长为()A. 5B.C. 7D.【答案】D【解析】【分析】利用旋转的性质得出正方形边长,再利用勾股定理得出答案.【解答】∵把△ADE顺时针旋转△ABF的位置,∴四边形AECF的面积等于正方形ABCD的面积等于25,∴AD=DC=5,∵DE=2,∴Rt△ADE中,故选D.【点评】考查旋转的性质,正方形的性质,勾股定理等,熟练掌握旋转的性质是解题的关键.9. 如图,过点,,,点是轴下方上的一点,连接,,则的度数是()A. B. C. D.【答案】B【解析】【分析】连接CD,根据圆周角定理可知∠OBD=∠OCD,根据锐角三角形函数即可求出∠OCD的度数.【解答】连接CD,∵∠OBD与∠OCD是同弧所对的圆周角,∴∠OBD=∠OCD.∵∴故选B.【点评】考查圆周角定理,解直角三角形,熟练掌握在同圆或等圆中,同弧所对的圆周角相等是解题的关键.10. 如图是二次函数(,,是常数,)图象的一部分,与轴的交点在点和之间,对称轴是.对于下列说法:①;②;③;④(为实数);⑤当时,,其中正确的是()A. ①②④B. ①②⑤C. ②③④D. ③④⑤【答案】A【解析】【分析】由开口方向和对称轴的位置可判断①;由对称轴为直线x=1可判断②;由x=3时可判断③;根据函数在时取得最大值,可以判断④,由-1<x<3时,函数图象位于x轴上方可判断⑤.【解答】∵抛物线的开口向下,∴a<0,抛物线的对称轴可知:故①正确;∵抛物线的对称轴∴b=−2a,即2a+b=0,故②正确;由图象知当x=3时,把b=−2a代入得:故③错误;故④正确;由图象可知,当−1<x<3时,函数图象有些部分位于x轴上方,故⑤错误.故选A.【点评】考查二次函数的图象与系数的关系,二次函数图象上点的坐标特征,不等式等知识点,难度适中,属于高频考点.二、填空题:本大题共8小题,每小题3分,共24分.11. 计算:__________.【答案】0【解析】【分析】按照实数的运算顺序进行运算即可.【解答】原式故答案为:0.【点评】本题考查实数的运算,主要考查负整数指数幂,特殊角的三角函数值以及二次根式,熟练掌握各个知识点是解题的关键.12. 使得代数式有意义的的取值范围是__________.【答案】【解析】【分析】根据二次根式有意义和分式有意义的条件列出不等式进行计算即可.【解答】代数式有意义的条件是:解得:故答案为:【点评】考查二次根式和分式有意义的条件,二次根式有意义的条件是被开方数大于等于零,分式有意义的条件是分母不为零.13. 若正多边形的内角和是,则该正多边形的边数是__________.【答案】8【解析】【分析】根据多边形内角和公式进行计算即可.【解答】设正多边形的边数是根据题意得:解得:故答案为:8.14. 已知某几何体的三视图如图所示,其中俯视图为正六边形,则该几何体的侧面积为__________.【答案】108【解析】试题分析:三视图就是主视图(正视图)、俯视图、左视图的总称。
用英语简单介绍白鹿原的作文Bai Lu Yuan, also known as the White Deer Plain, is a renowned literary work that has captivated readers worldwide. This epic novel, written by the acclaimed Chinese author Chen Zhongshi, delves into the captivating history and intricate tapestry of rural life in China during the turbulent 20th century. The story unfolds against the backdrop of the White Deer Plain, a picturesque landscape that serves as a microcosm of the larger societal changes and upheavals that swept across the nation.At the heart of Bai Lu Yuan lies the intricate web of relationships and the constant struggle between tradition and modernity. The novel follows the lives of two families, the Bai and the Lu, whose destinies become intertwined as they navigate the ever-changing social and political landscape. Through their stories, the reader is transported to a bygone era, where the rhythms of daily life are intimately woven with the grand narratives of history.One of the most captivating aspects of Bai Lu Yuan is its rich and vivid depiction of the White Deer Plain itself. The author's masterfuluse of language and imagery brings this rural landscape to life, painting a vivid picture of the rolling hills, the meandering streams, and the weathered farmhouses that dot the horizon. The White Deer Plain becomes more than just a setting; it is a character in its own right, a living, breathing entity that shapes and influences the lives of those who call it home.The novel's exploration of the tension between tradition and modernity is a central theme that resonates deeply with readers. As the characters navigate the changing social and political landscape, they are forced to confront the challenges posed by the encroachment of modernization and the erosion of long-held cultural values. The author skillfully weaves these themes into the narrative, creating a tapestry that is both deeply personal and profoundly universal.One of the most striking aspects of Bai Lu Yuan is its complex and multifaceted portrayal of its characters. The Bai and Lu families are not simply caricatures or archetypes; they are richly drawn individuals, each with their own unique desires, motivations, and flaws. The author's ability to capture the nuances of human nature, the subtle interplay of emotions, and the moral dilemmas faced by his characters, is truly remarkable.As the story unfolds, the reader is drawn into the lives of thesecharacters, empathizing with their struggles and celebrating their triumphs. The novel's ability to evoke a deep emotional response from its readers is a testament to the author's masterful storytelling skills.Beyond its literary merits, Bai Lu Yuan also serves as a powerful historical document, capturing the tumultuous events that shaped China during the 20th century. The novel's depiction of the upheavals of the Warlord Era, the rise of the Communist Party, and the upheavals of the Cultural Revolution, provides a vivid and insightful perspective on these pivotal moments in Chinese history.Through its exploration of these historical events, Bai Lu Yuan offers readers a deeper understanding of the complex social and political forces that have shaped the country's development. The novel's ability to seamlessly weave these historical threads into the narrative is a testament to the author's skill and the depth of his research.In conclusion, Bai Lu Yuan is a masterpiece of modern literature that has rightfully earned its place as a classic of Chinese fiction. Its rich and nuanced portrayal of rural life, its exploration of the tension between tradition and modernity, and its profound insights into the human condition, make it a must-read for anyone interested in the art of storytelling and the complexities of the human experience. Whether you are a seasoned reader or a newcomer to Chineseliterature, Bai Lu Yuan is a work that will leave an indelible mark on your heart and mind.。