2015-2016学年(上)松柏中学九年级第一次月考(Units1-3)
九年级英语全册Units1_3综合水平测试新版人教新目标版(含答案)
九年级英语全册新版人教新目标版：Units 1～3 综合水平测试得分________卷后分________评价________听力部分(20分)一、听句子，选择相符的图片，有一项多余。
(5×1分＝5分)A B CD E F1．__F__ 2.__E__ 3.__D__ 4.__A__ 5.__C__二、听短对话，选择正确的答案。
(5×1分＝5分)(C)6.What does the boy want to buy?A．Some books. B．Some flowers.C．Some stamps.(A)7.Where does the man want to go?A．To a bank. B．To a restaurant.C．To a shopping center.(B)8.What festival might the speakers celebrate that day?A．The Spring Festival.B．The Dragon Boat Festival.C．The MidAutumn Festival.(B)9.Why does Tina not make up conversations?A．Because she wants to stay alone.B．Because she doesn't have a partner.C．Because she has to finish writing first.(A)10.What's the matter with the boy?A．He can't read quickly.B.He can't pronounce the words.C．He can't remember the words.三、听长对话，选择正确的答案。
(5×1分＝5分)听下面一段对话，回答第11、12小题。
2015-2016学年(上)松柏中学九年级第一次月考(Units1-3)
松柏中学2015-2016学年初三（上）第一次月考英语试卷九年级Units 1-3（二）基础知识与运用（每小题1.5分，共30分）V. 选择填空：从A、B、C中，选出一个最佳答案完成句子。
17. —I find that learning a language isn’t easy.—I think so. You should be patient. ________.A. It doesn’t matterB. It serves you rightC. It takes time18. He celebrates two festival with his family every year. One is the Spring Festival, and ________, the Mid-Autumn Festival.A. otherB. othersC. the other19. We should often practice ________ English with each other.A. speakingB. spokeC. speak20. I think this movie is ________ interesting. Why not go to another cinema?A. moreB. lessC. fewer21. —How will you improve your English pronunciation?—________ watching English movie.A. WithB. ByC. Under22. —________ lovely day it is today!—Yes. Let’s go out and enjoy the sunshine!A. How aB. What aC. How23. You can’t improve your spoken English ________ to practice it every day.A. unlessB. butC. since24. —Have you asked the policeman ________?—Yes, he told us to turn left onto Main street. It’s on the right.A. where can we find a bankB. when we can get to the nearest bankC. how to get to the nearest bank25. We live near a big supermarket, so it’s very ________ for us to do some shopping.A. noisyB. boringC. convenient26. Jimmy ________ in Shanghai for seven years. Now he lives abroad with his father.A. studiesB. studiedC. has studied27. —It seems that you are worried.—I am wondering ________ they can be here on time today.A. whenB. whetherC. where28. —Let’s go to Water World for a trip tomorrow, OK?—________. Where did you suggest going?A. Pardon me?B. I don’t knowC. I agree with youⅥ.完形填空:从A、B、C中选择一个最佳答案, 使短文意思完整.The first note I ever wrote for my mother said “Hi, Mom! Have a nice day! Love, Marie!” I was twelve when I wrote it, and I folded the 29 into her change purse (零钱包).My mother worked as a cleaner in a clothing factory. I knew that when she 30 meals in the dining hall, she would have to look for change in her purse. I didn’t know that she would keep that note, and always carry it with her.From the day that I 31 folded the small piece of paper into my mother’s change purse, she and I left each other 32 notes. They would be put in the fridge, under a lamp, or beside the TV set. I even found one hidden in my shoe. Fromthe outside, our notes may have been general records of our days, ideas and wishes. But to my mother and 33 , they were a lifeline — a communication with each other that no one else shared.On October 20, 2009, my mother died after a long illness. I stood near her bed, holding her hand. I didn’t cry the day my mom died, 34 I didn’t cry a week later when I went to collect her things. I was so thankful that she no longer had aches and pains.Recently, I 35 a note that my mom had left me. It had been hidden in the pages of my favorite childhood book for years. It read “Dear Marie, I love you always. Miss you a lot. Don’t forget me. Be 36 ! Love, Mom.” That day, I cried.29. A. note B. book C. diary30. A. prepared B. bought C. cooked31. A. carefully B. wisely C. quickly32. A. funny B. beautiful C. secret33. A. her B. me C. us34. A. and B. but C. because35. A. found B. invented C. looked for36. A. patient B. strict C. happy（三）阅读理解（每小题2分，共50分）VII.阅读以下五篇短文，根据文章内容选择最佳答案作答37-61小题。
福建厦门松柏中学2023-2024学年九年级上学期月考数学试题及参考答案
2023-2024学年松柏中学九年级（上）适应性练习数学（试卷满分：150分 考试时间：120分钟）一、选择题（每小题4分，共40分，每小题都有四个选项，其中有且只有一个选项正确）1. 如图所示，其中是中心对称图形的是（ ）A. B.C. D.2. 关于x 的方程2230ax x −+=是一元二次方程，则（ ）A 0a ≠ B. 0a > C. 1a = D. 0a ≥ 3. 若二次函数22y x =的图象经过点P （1，a ），则a 的值为（ ） A. 12 B. 1 C. 2 D. 44. 把抛物线2y x 向上平移1个单位，所得到抛物线的函数表达式为（ ）A. 21y x =+B. 2(1)y x =+C. 21y x =−D. 2(1)y x =− 5. 点()2,5P −关于原点的对称点的坐标是（ ）A. ()2,5−−B. ()2,5C. ()2,5−D. ()5,2− 6. 关于x 的方程2(1)10ax a x +−−=，下列结论正确的是（ ）A. 当0a =时，方程无实数根B. 当1a =−时，方程只有一个实数根C. 当1a =时，有两个不相等实数根D. 当0a ≠时，方程有两个相等的实数根 7. 如图，正方形ODEF 绕着点O 顺时针旋转50°得到正方形OABC ，连接AF ，则OFA ∠的度数是（）.的A. 30°B. 25°C. 20°D. 15°8. 如图，在同一直角坐标系中，0k ≠，函数2y kx =和7y kx k =−−的图象可能是（ ） A. B.C D.9. 已知二次函数2225y x bx b b −++−（b 为常数）的图象与x 轴有交点，且当 3.5x <时，y 随x 的增大而减小，则b 的取值范围是（ ）A. 5b ≤B. 5b ≥C. 3.55b ≤≤D. 3.55b ≤< 10. 如图①，在菱形ABCD 中，∠A=120°，点E 是边BC 的中点，点F 是对角线BD 上一动点，设FD 的长为x ，EF 与CF 长度的和为y ．图②是y 关于x 的函数图象，点P 为图象上的最低点，则函数图象的右端点Q 的坐标为（ ）.A. (B. (C. ()D. ( 二、填空题（本大题有6小题，每小题4分，共24分）11. 一元二次方程2100x =的解是_________．12. 拋物线29(2)5y x =−+的顶点坐标是_________．13. 在平面直角坐标系中，将点()8,4P 绕原点O 逆时针旋转90°得到点P ′，则点P ′的坐标为_________．14. 要组织一次篮球联赛，赛制为单循环形式（每两队之间都赛一场），计划安排15场比赛，设有x 队参加比赛，根据题意，可列方程为______．15. 已知,a b 是方程2320x x +−=的两个实根，a b +=_________，3232a a b ++=_________． 16. 如图，抛物线2y ax bx c ++交x 轴分别于点()()3,0,1,0A B −，交y 轴正半轴于点D ，拋物线顶点为C ．下列结论：①0abc >；②30a c +=；③当ABC是等边三角形时，a = ④若方程21.5ax bx c ++=有四个根，则这四个根的和为4−； 其中，正确结论的序号为_________． 三、解答题（86分）17. 解不等式组：20,12x x x −≤ −< 18. 解方程：（1）240x x −=（2）223x x =−+19. 某厂一月份的杯子产量为160万只，由于市场需求逐渐减少，三月份的产量减少到90万只．求该厂二、三月份的杯子产量的月平均减少率．20. 二次函数24y x bx c ++图象经过()()1,1,0,0−−两点的（1）求这个二次函数的解析式；（2）若另外三点()()()1212,20,,20,,x x x x n +也在该二次函数图象上，求n 的值；（3）当x _________时，0y >．21. 如图，有长为20米的篱笆，一面利用墙（墙的最大可用长度a 为5米），围成长方形花圃．设花圃的宽AB 为x 米，面积为S 米2，（1）求S 与x 的函数关系式，并写出x 的取值范围；（2）能围成面积为32米2的花圃吗？如果能，请求出AB 的长，如果不能，请说明理由．22. 如图，在正方形ABCD 中，点E 是AB 边上的一点（与,A B 两点不重合），将BCE 绕着点C 顺时针旋转，使CB 与CD 重合，这时点E 落在点F 处，连接EF ．（1）按照题目补全图形；（2）题中的旋转中心为_________，旋转角度可为_________°．（3）若正方形边长为,m BE n =，比较AEF △与CEF △的面积大小，并说明理由．23. 当解某些计算较复杂的一元二次方程时，可考虑用“缩根法”简化运算．“缩根法”是指将一元二次方程先转化成系数比原方程简单的新一元二次方程，然后解新一元二次方程，并将新方程的两根同时缩小若干倍，从而得到原方程的两个根．已知：关于x 的一元二次方程()200ax bx c a ++=≠的两根为12,x x αβ==，求关于x 的一元二次方程()2200p ax pbx c ap ++=≠的两根．解：()22200,()0p ax pbx c ap a px b px c ++=≠∴+⋅+= ，令px t =， 得新方程20at bt c ++=，新方程的解为12,,,t t px px αβαβ==∴==，∴原方程的两根为12,x x p p αβ==．这种解一元二次方程的方法叫做“缩根法”举例：用缩根法解方程24935240x x +−=．解：22497,3557,(7)57240x x ==×∴+×−= ，令7t x =，得新方程25240t t +−=．解新方程得：123,8,73,78t t x x ==−∴==−， ∴原方程的两根为1238,77x x ==−． 请利用上面材料解决下列问题，并写出具体步骤：（1）用缩根法解方程：236610x x −−=；（2）用缩根法解方程：2316016000x x −+=．24. 单板滑雪大跳台是北京冬奥会比赛项目之一，滑雪大跳台在设计时融入了敦煌壁画中“飞天”的元素，故又名“雪飞天”、图1为“雪飞天”滑雪大跳台赛道的横截面示意图，运动员从D 点起跳后到着陆坡AC OC 为x 轴，铅垂线OB 为y 轴，建立平面直角坐标如图2，从起跳到着落的过程中，运动员的铅垂高度()m y 与水平距离()m x 近似满足二次函数的关系．在着陆坡AC 上设置点()32,4K 作为标准点，着陆点在K 点或超过K 点视为成绩达标．（1）某运动员的一次试跳中，测得该运动员的水平距离x 与铅垂高度y 的几组数据如下：水平距离()m x0 2 6 10 14 18 铅垂高度()m y 20.00 21.80 24.20 25.00 24.20 21.80根据上述数据，直接写出y 与x 的函数关系式为_________（不需写出自变量的取值范围）；（2）在此次试跳中，该运动员的成绩是否达标？请说明理由；（3）此次试跳中，该运动员在空中从起跳到达最高点的高度或从最高点到下落的高度()m h 与时间()s t 均满足212h gt =（其中g 为常数，表示重力加速度，取210m/s ），运动员要完成“飞天”动作至少要在空中停留3.1秒，问该运动员从起跳到落地能完成动作吗？25. 若函数G 在()m x n m n ≤≤<上的最大值记为M ，最小值记为N ，且满足2M N −=，则称函数在m x n ≤≤上的“极差函数”．（1）函数①21y x =−；②2y x ，其中函数______是在12x ≤≤上的“极差函数”；（填序号） （2）已知函数G ：()2430y ax ax a a =−+>，①当1a =时，函数G 是在1t x t ≤≤+上“极差函数”，求t 的值；②函数G 是在221m x m +≤≤+（m 为整数）上的“极差函数”，若M N 为整数，求a 的值． 的2023-2024学年松柏中学九年级（上）适应性练习数学（试卷满分：150分 考试时间：120分钟）一、选择题（每小题4分，共40分，每小题都有四个选项，其中有且只有一个选项正确）1. 如图所示，其中是中心对称图形的是（ ）A. B.C. D.【答案】B【解析】【分析】根据中心对称图形的定义：把一个图形绕某一点旋转180°，如果旋转后的图形能够与原来的图形重合，那么这个图形就叫做中心对称图形可得答案．【详解】解：选项A 、C 、D 均不能找到这样的一个点，使图形绕某一点旋转180°后与原来的图形重合，所以不是中心对称图形；选项B 能找到这样的一个点，使图形绕某一点旋转180°后与原来的图形重合，所以是中心对称图形； 故选：B ．【点睛】本题主要考查了中心对称图形，关键是找出对称中心．2. 关于x 的方程2230ax x −+=是一元二次方程，则（ ）A. 0a ≠B. 0a >C. 1a =D. 0a ≥【答案】A【解析】【分析】根据一元二次方程的定义，即可求解．【详解】解：∵关于x 的方程2230ax x −+=是一元二次方程∴0a ≠，故选：A ． 【点睛】本题考查了一元二次方程的定义，熟练掌握一元二次方程的定义是解题的关键．一元二次方程定义，只含有一个未知数，并且未知数项的最高次数是2的整式方程叫做一元二次方程．3. 若二次函数22y x =的图象经过点P （1，a ），则a 的值为（ ） A. 12 B. 1 C. 2 D. 4【答案】C【解析】【详解】把点P （1，a ）代入二次函数22y x =即可解得a=2，故答案选C ．4. 把抛物线2y x =向上平移1个单位，所得到抛物线的函数表达式为（ ）A. 21y x =+B. 2(1)y x =+C. 21y x =−D. 2(1)y x =−【答案】A【解析】【分析】求出函数的顶点坐标为(0，0)，向上平移1个单位后变为(0，1)，求解即可．【详解】解：由抛物线2y x =的图象知其顶点坐标为(0，0)，将它向上平移1个单位后，抛物线的顶点坐标为(0，1)，因此所得抛物线的解析式为21y x =+．故选：A ．5. 点()2,5P −关于原点的对称点的坐标是（ ）A. ()2,5−−B. ()2,5C. ()2,5−D. ()5,2− 【答案】C【解析】【分析】根据关于原点的对称点的坐标特点：横纵坐标互为相反数可得答案．【详解】解：因为点()2,5P −关于原点的对称点的坐标特点：横纵坐标互为相反数，所以对称点的坐标是()2,5−，故选：C ．【点睛】此题主要考查了关于原点的对称点的坐标特点，关键是掌握点的坐标的变化规律．6. 关于x 的方程2(1)10ax a x +−−=，下列结论正确的是（ ）A. 当0a =时，方程无实数根B. 当1a =−时，方程只有一个实数根C. 当1a =时，有两个不相等的实数根D. 当0a ≠时，方程有两个相等的实数根【答案】C【解析】 【分析】根据a 的值确定方程的类型，若为一元一次方程，直接求解；若为一元二次方程，根的个数用判别式进行判断．【详解】A ．当0a =时，原方程可化为：10x −=，解得1x =，有一个实数根，故A 错误； B ．当1a =−时，原方程可化为：2210x x −+=，解得1x =，有两个相等的实数根，故B 错误； C ．当1a =时，原方程可化为：210x -=，解得1x =±，有两个不相等的实数根，故C 正确； D ．当0a ≠时，22(1)4(1)(1)0a a a ∆=−−⋅−=+≥，所以方程有两个相等的实数根或两个不相等的实数根，故D 错误故选：C ．【点睛】本题考查了含有参数的一元一次方程，一元二次方程的解法，熟练掌握方程根的个数的判断方法是解题的关键．7. 如图，正方形ODEF 绕着点O 顺时针旋转50°得到正方形OABC ，连接AF ，则OFA ∠的度数是（ ）A. 30°B. 25°C. 20°D. 15°【答案】C【解析】 【分析】由旋转和正方形性质，可得140AOF ∠=°，由OA OF =，即可得到OFA ∠．【详解】解：根据旋转的定义可知，50AOD ∠=︒，又90DOF ∠=°，5090140AOF ∴∠=°+°=°．OA OF = ，()180140220OFA ∴∠=°−°÷=°．故选C ．【点睛】本题考查了正方形的性质和旋转的性质，解题的关键是根据旋转的性质求出AOF ∠的度数．8. 如图，在同一直角坐标系中，0k ≠，函数2y kx =和7y kx k =−−的图象可能是（ ）A. B.C. D.【答案】A【解析】【分析】根据一次函数、二次函数的图象与性质逐项判断即可求解．【详解】解：∵函数2y kx =和7y kx k =−−， 当0k <时，一次函数经过一、二、三象限，抛物线开口向下，当0k >时，一次函数经过二、三、四象限，抛物线开口向上，故选A【点睛】本题考查了一次函数、二次函数的图象与性质，熟知两种函数的图象与性质是解题关键． 9. 已知二次函数2225y x bx b b −++−（b 为常数）的图象与x 轴有交点，且当 3.5x <时，y 随x 的增大而减小，则b 的取值范围是（ ）A. 5b ≤B. 5b ≥C. 3.55b ≤≤D. 3.55b ≤<【答案】C【解析】【分析】根据图象与x 轴有交点，得出判别式△≥0，解得b ≤5；再求出抛物线的对称轴，结合抛物线开口向上，且当x ＜3.5时，y 随x 的增大而减小，可得b ≥3.5，从而得出答案．【详解】解：∵二次函数y =x 2-2bx +b 2+b -5（b 为常数）的图象与x 轴有交点，∴△=（-2b ）2-4（b 2+b -5）≥0解得：b ≤5； ∵抛物线的对称轴为直线22b x b −=−=，抛物线开口向上，且当x ＜3.5时，y 随x 的增大而减小，∴b ≥3.5，∴实数b 的取值范围是3.5≤b ≤5．故选：C ．【点睛】本题考查了抛物线与x 轴的交点和二次函数的图象与性质，掌握抛物线与x 轴的交点个数与判别式的关系及二次函数的性质是解题的关键．10. 如图①，在菱形ABCD 中，∠A=120°，点E 是边BC 的中点，点F 是对角线BD 上一动点，设FD 的长为x ，EF 与CF 长度的和为y ．图②是y 关于x 的函数图象，点P 为图象上的最低点，则函数图象的右端点Q 的坐标为（ ）A. (B. (C. ()D. ( 【答案】D【解析】 【分析】连接AF ，在菱形ABCD 中点A 与点C 关于BD 对称，推出AF CF =，推出y EF CF EF AF =+=+，当,,A F E 三点在同一直线上时y 取最小值，y 的最小值为线段AE 的长，观察图像可知，14F D =，在Rt △ADF 1中，由三角函数求出AD 的长，由平行得出1ADF ∆∽1EBF ∆，求出BE 和F 1B 的长，当点F 和点B 重合时，此时x 取最大值6，y EF CF EB CB =+=+，即可求出点Q 的坐标．【详解】解：连接AF ，如图，∵在菱形ABCD 中点A 与点C 关于BD 对称，∴AF CF =，∴y EF CF EF AF =+=+，当,,A F E 三点在同一直线上时y 取最小值，y 的最小值为线段AE 的长，由图②知此时4x =，即14F D =，在菱形中点E 是边BC 的中点，易得,AE BC EA AD ⊥⊥，∵120,A AB AD ∠== ，∴30ADB ∠= ，∴1cos BC AD F D ADB ==∠=∵AD //BC ，∴11ADF EBF ∆∆ ， ∴112F DAD F B BE==，∴11112,22F B F D BE BC ====，∴116,BD F B F D =+=，当点F 和点B 重合时，此时x 取最大值6，y EF CF EB CB =+=+=．∴点Q 的坐标为(，故选D ． 【点睛】本题考查动点问题的函数图象菱形的性质和解直角三角形，解答本题的关键是明确题意，找出所求问题需要的条件，利用数形结合的思想解答．二、填空题（本大题有6小题，每小题4分，共24分）11. 一元二次方程2100x =的解是_________．【答案】1210,10x x =−= 【解析】【分析】根据直接开平方法解一元二次方程，即可求解．【详解】解2100x =解得：1210,10x x =−=， 故答案为：1210,10x x =−=． 【点睛】本题考查了解一元二次方程，熟练掌握解一元二次方程的方法是解题的关键．12. 拋物线29(2)5y x =−+的顶点坐标是_________．【答案】()2,5【解析】【分析】根据顶点式2()y a x h k =−+的顶点坐标为(),h k 求解即可．【详解】解：抛物线29(2)5y x =−+的顶点坐标是()2,5，故答案为：()2,5．【点睛】本题考查了二次函数顶点式2()y a x h k =−+的顶点坐标为(),h k ，掌握顶点式求顶点坐标是解题的关键．13. 在平面直角坐标系中，将点()8,4P 绕原点O 逆时针旋转90°得到点P ′，则点P ′的坐标为_________．【答案】()4,8−【解析】【分析】如图，过P 、P ′两点分别作x 轴，y 轴的垂线，垂足为A 、B ，由旋转90°可知，OPA OP B ′ ≌，则4P B PA ′==，8BOOA ==，由此确定点P ′的坐标． 【详解】解：如图，过P 、P ′两点分别作x 轴，y 轴的垂线，垂足为A 、B ，线段OP 绕点O 逆时针旋转90°，PO ∴∠P ′90AOB =∠=°，AOP ∴∠=∠P ′OB ，且OP O =P ′，PAO ∠=∠P ′90BO =°，OAP OBP ∴′ ≌()AAS ，则4P B PA ′==，8BOOA ==， ∴P ′()4,8−．故答案为：()4,8−．【点睛】本题考查了点的坐标与旋转变换的关系．关键是根据旋转的条件，确定全等三角形．14. 要组织一次篮球联赛，赛制为单循环形式（每两队之间都赛一场），计划安排15场比赛，设有x 队参加比赛，根据题意，可列方程为______． 【答案】(1)152x x −= 【解析】【分析】设邀请x 个球队参加比赛，那么第一个球队和其他球队打(1)x −场球，第二个球队和其他球队打(2)x −场，以此类推可以知道共打(1231)x +++…+−场球，然后根据计划安排15场比赛即可列出方程． 【详解】解：设邀请x 个球队参加比赛，依题意得123115x +++…+−=， 即(1)152x x −=， 故答案为：(1)152x x −=． 【点睛】本题考查了由实际问题抽象出一元二次方程，此题和实际生活结合比较紧密，准确找到关键描述语，从而根据等量关系准确地列出方程是解决问题的关键．15. 已知,a b 是方程2320x x +−=的两个实根，a b +=_________，3232a a b ++=_________．【答案】 ①. 3− ②. 6−【解析】【分析】根据一元二次方程根与系数的关系可得3a b +=−，根据一元二次方程根的定义可得2320a a +−=，代入代数式3232a a b ++，即可求解．【详解】解：∵,a b 是方程2320x x +−=的两个实根，∴3a b +=−，2320a a +−=∴232a a +=∴3232a a b ++=()()()232222236a a a b a b a b ++=+=+=×−=− 故答案为：3−，6−．【点睛】本题考查了一元二次方程的解的定义，一元二次方程根与系数的关系：若12,x x 是一元二次方程()200ax bx c a ++=≠的两根，12b x x a +=−，12c x x a=，掌握一元二次方程根与系数的关系是解题的关键． 16. 如图，抛物线2y ax bx c ++交x 轴分别于点()()3,0,1,0A B −，交y 轴正半轴于点D ，拋物线顶点为C ．下列结论：①0abc >；②30a c +=；③当ABC 是等边三角形时，a = ④若方程21.5ax bx c ++=有四个根，则这四个根的和为4−； 其中，正确结论的序号为_________．【答案】①②④【解析】【分析】根据二次函数图象的性质，等边直角三角形的性质，二次函数与一元二次方程的关系一一判断即可．【详解】解：∵抛物线开口向下，则a<0，∵抛物线2y ax bx c ++交x 轴分别于点()()3,0,1,0A B −， ∴对称轴为直线3112x −+==− 即12b x a=−=− ∴2b a =0<，抛物线交y 轴正半轴于点D ，则0c >，∴0abc >，故①正确又0a b c ++=，∴20a a c ++=，即30a c +=，故②正确；如图，设对称轴与x 轴相交于点E ，∵()30A −，，()10B ，， ∴4AB =，∵ABC 是等边三角形，CE AB ⊥，∴4AC AB ==，60CAB ∠=°，122AE AB ==，∴CE =，1OE AO AE =−=，∴(1,C −，设抛物线解析式为()21y a x =++ ∵抛物线经过点()10B ，，∴()2011a =++∴a =， 故③错误； ∵方程21.5ax bx c ++=有四个根，∴方程2 1.5ax bx c ++=有两个根，2 1.5ax bx c ++=−有两个根，设方程2 1.5ax bx c ++=有两个根为12,x x ，2 1.5ax bx c ++=−有两个根为34,x x ， ∴1222b a x x a a+=−=−=−，3422b a x x a a +=−=−=−， ∴12344x x x x +++=−． 故④正确．故答案为：①②④．【点睛】本题考查二次函数的性质，等边三角形的判定等知识，解题的关键是熟练掌握二次函数的性质．三、解答题（86分）17. 解不等式组：20,12x x x −≤ −< 【答案】12x −<≤【解析】【分析】分别求出每一个不等式的解集，根据口诀：同大取大、同小取小、大小小大中间找、大大小小找不到确定不等式组的解集． 【详解】解：2012x x x −≤ −< ①② 解不等式①得：2x ≤，解不等式②得：1x >−，∴不等式组的解集为：12x −<≤．【点睛】本题考查了解一元一次不等式组，正确掌握一元一次不等式解集确定方法是解题的关键． 18. 解方程：（1）240x x −=（2）223x x =−+【答案】（1）120,4x x == （2）123,1x x =−= 【解析】【分析】（1）根据因式分解法解一元二次方程，即可求解；（2）先化为一般形式，然后根据因式分解法解一元二次方程，即可求解．【小问1详解】解：240x x −=，∴()40x x −=， 即0x =或40x −=， 解得：120,4x x ==； 【小问2详解】解：223x x =−+，∴2230x x +−=，∴()()310x x +−=， ∴30x +=或10x −=，解得：123,1x x =−=． 【点睛】本题考查了解一元二次方程，熟练掌握解一元二次方程的方法是解题的关键．19. 某厂一月份的杯子产量为160万只，由于市场需求逐渐减少，三月份的产量减少到90万只．求该厂二、三月份的杯子产量的月平均减少率．【答案】25%【解析】【分析】根据题意和题目中的数据，可以得到方程()2160190x −=，即可解决本题．【详解】解：设月平均减少率为x ，则 ()2160190x −=， 解得：10.2525%x ==，2 1.75x =（舍去）， 答：该厂二、三月份的杯子产量的月平均减少率为25%．【点睛】本题主要考查了由实际问题抽象出一元二次方程，解答本题的关键是明确题意，列出相应的方程．20. 二次函数24y x bx c ++的图象经过()()1,1,0,0−−两点（1）求这个二次函数的解析式；（2）若另外三点()()()1212,20,,20,,x x x x n +也在该二次函数图象上，求n 值；的（3）当x _________时，0y >．【答案】（1）245y x x =+ （2）0（3）54x <−或0x > 【解析】【分析】（1）先设出二次函数的解析式，然后将已知条件代入其中并解答即可；（2）先求出抛物线对称轴，再由抛物线的对称性可得12528x x +=−，从而得到1254x x +=−，然后代入解析式即可求得n 的值；（3）令0y =，解方程，得出抛物线与坐标轴交点，根据抛物线开口向上，即可求解．【小问1详解】解：∵二次函数的图象经过点()()1,1,0,0−−三点， ∴041c b c = −+=− ， 解得50b c = =， 所以这个函数关系式是：245y x x =+；【小问2详解】解：∵二次函数为245y x x =+， ∴对称轴为直线55248x =−=−×， ∵三点()()()1212,20,,20,,x x x x n +也在该二次函数图象上， ∴12528x x +=−， ∴1254x x +=−， ∴25545044n =×−+×−=．【小问3详解】解：当0y =时，2450x x +=， 解得：125,04x x =−=，， 又∵40a =>， ∴当54x <−或0x >时，0y >． 故答案为：54x <−或0x >时． 【点睛】本题主要考查二次函数，掌握二次函数的图象和性质以及待定系数法是解题的关键． 21. 如图，有长为20米的篱笆，一面利用墙（墙的最大可用长度a 为5米），围成长方形花圃．设花圃的宽AB 为x 米，面积为S 米2，（1）求S 与x 的函数关系式，并写出x 的取值范围；（2）能围成面积为32米2花圃吗？如果能，请求出AB 的长，如果不能，请说明理由．【答案】（1）S 与x 的函数关系式为：2220S x x =−+15102x≤<（2）能，AB 的长为8米【解析】【分析】（1）由题可知，花圃的宽AB 为x 米，则BC 为(202)x −米，即可得2(202)220S x x x x =−=−+；根据题意得020210x <−≤，即可得；（2）由题意，得222032x x −+=，解得12x =，28x =，根据510x ≤<得2x =不合题意，舍去，即可得．【小问1详解】解：由题可知，花圃的宽AB 为x 米，则BC 为(202)x −米， 2(202)220S x x x x =−=−+，∵02025x <−≤, ∴15102x ≤<，的∴2220S x x =−+15102x≤<； 【小问2详解】 解：由题意，得222032x x −+=，2220320x x −+−=210160x x −+=(2)(8)0x x −−=解得12x =，28x =， ∵15102x ≤<， ∴2x =不合题意，舍去，∴AB 的长为8米．【点睛】本题考查了二次函数的实际应用，一元二次方程的应用，解题的关键是理解题意，掌握这些知识点． 22. 如图，在正方形ABCD 中，点E 是AB 边上的一点（与,A B 两点不重合），将BCE 绕着点C 顺时针旋转，使CB 与CD 重合，这时点E 落在点F 处，连接EF ．（1）按照题目补全图形；（2）题中的旋转中心为_________，旋转角度可为_________°．（3）若正方形边长为,m BE n =，比较AEF △与CEF △的面积大小，并说明理由．【答案】（1）见解析 （2）C ，90°（3）CEF AEF S S >△△，理由见解析【解析】【分析】（1）按照题目要求根据旋转的性质即可画出图形；（2）根据旋转的性质即可求解．（3）首先求出AEF S ，然后证明2AECF ABCDS S m ==四边形四边形，根据CEF AEF AECF S S S =−四边形 求出CEF S △，即可比较AEF △与CEF △的面积大小．【小问1详解】解：如图所示；【小问2详解】根据旋转性质可知：旋转中心为点C ，旋转角度为90BCD ∠=°，故答案为：C ，90．【小问3详解】CEF AEF S S >△△；理由：根据旋转性质可知：DF BE n ==，∵正方形的边长为m ，∴AF AD DF m n =+=+，AE AB BE m n =−=−， ∴()()2211112222AEF S AE AF m n m n m n =⋅=+−=− ， ∵CBE CDF S S =△△，∴2AECF ABCDS S m ==四边形四边形， ∴CEF AEF AECF S S S =−四边形 2221122m m n =−− 221122m n + ∵0n >， ∴222211112222m n m n +>−， ∴CEF AEF S S >△△．【点睛】本题考查了作图—旋转变换，旋转的性质，整式混合运算的实际应用，解决本题的关键是掌握旋转的性质，正确求出AEF S 和CEF S △．23. 当解某些计算较复杂的一元二次方程时，可考虑用“缩根法”简化运算．“缩根法”是指将一元二次方的的程先转化成系数比原方程简单的新一元二次方程，然后解新一元二次方程，并将新方程的两根同时缩小若干倍，从而得到原方程的两个根．已知：关于x 的一元二次方程()200ax bx c a ++=≠的两根为12,x x αβ==，求关于x 的一元二次方程()2200p ax pbx c ap ++=≠的两根．解：()22200,()0p ax pbx c ap a px b px c ++=≠∴+⋅+= ，令px t =， 得新方程20at bt c ++=，新方程的解为12,,,t t px px αβαβ==∴==，∴原方程的两根为12,x x p p αβ==．这种解一元二次方程的方法叫做“缩根法”举例：用缩根法解方程24935240x x +−=．解：22497,3557,(7)57240x x ==×∴+×−= ，令7t x =，得新方程25240t t +−=．解新方程得：123,8,73,78t t x x ==−∴==−，∴原方程的两根为123,7x x == 请利用上面材料解决下列问题，并写出具体步骤：（1）用缩根法解方程：236610x x −−=；（2）用缩根法解方程：2316016000x x −+=．【答案】23. 1x =，=2x 24. =1403x ，240x = 【解析】 【分析】（1）设=6x t ，得到新方程210t t −−=，再求出新方程的解，即可得出原方程的解； （2）将方程两边都乘以3，得−+=2948048000x x ，设=3x t ，得到新方程−+=216048000t t ，再求出新方程的解，即可得出原方程的解．【小问1详解】解：设=6x t ，得到新方程210t t −−=，解得1t =，2t =即6x =或=6x ， 所以原方程两个根是1x==2x ； 【小问2详解】 解：原方程整理为−+=2948048000x x ，设=3x t ，得到新方程−+=216048000t t ，解得140t =，=2120t ， 所以原方程的解是=1403x ，240x =． 【点睛】本题主要考查了“缩根法”解一元二次方程即换元法解一元二次方程，掌握解一元二次方程的方法是解题的关键．24. 单板滑雪大跳台是北京冬奥会比赛项目之一，滑雪大跳台在设计时融入了敦煌壁画中“飞天”的元素，故又名“雪飞天”、图1为“雪飞天”滑雪大跳台赛道的横截面示意图，运动员从D 点起跳后到着陆坡AC 着落时的飞行路线可以看作是抛物线的一部分，取水平线OC 为x 轴，铅垂线OB 为y 轴，建立平面直角坐标如图2，从起跳到着落的过程中，运动员的铅垂高度()m y 与水平距离()m x 近似满足二次函数的关系．在着陆坡AC 上设置点()32,4K 作为标准点，着陆点在K 点或超过K 点视为成绩达标．的（1）某运动员的一次试跳中，测得该运动员的水平距离x 与铅垂高度y 的几组数据如下： 水平距离()m x0 2 6 10 14 18 铅垂高度()m y 20.00 21.80 24.20 25.00 24.20 21.80根据上述数据，直接写出y 与x 的函数关系式为_________（不需写出自变量的取值范围）；（2）在此次试跳中，该运动员的成绩是否达标？请说明理由；（3）此次试跳中，该运动员在空中从起跳到达最高点的高度或从最高点到下落的高度()m h 与时间()s t 均满足212h gt =（其中g 为常数，表示重力加速度，取210m/s ），运动员要完成“飞天”动作至少要在空中停留3.1秒，问该运动员从起跳到落地能完成动作吗？【答案】（1）()21102520y x =−−+ （2）不达标，理由见解析（3）不能【解析】 【分析】（1）根据题意可得抛物线的顶点坐标为()1025.00，，从而得到抛物线的解析式为()21025y a x =−+，再把点()0,20代入，即可求解； （2）把32x =代入（1）中解析式，即可求解；（3）求得运动员在空中从起跳到达最高点的高度或从最高点到下落的高度，分别把5h =和20h =代入212h gt =，求出t 的值，即可求解． 【小问1详解】解：根据题意得：抛物线的顶点坐标为()1025.00，，∴抛物线的解析式为()21025y a x =−+， 即10,25h k ==， 即该运动员铅垂高度的最大值为25m ；把点()0,20代入()21025y a x =−+得： ()22001025a =−+，解得：120a =−， ∴满足的函数关系式为()21102520y x =−−+； 【小问2详解】解：∵()32,4K 作为标准点，着陆点在K 点或超过K 点视为成绩达标．∴当32x =时，()213210250.8420y =−−+=<， ∴该运动员的成绩不达标；【小问3详解】解：设直线AC 的解析式为y mx n =+， ∵()8,16A ，()32,4K∴816324m n m n += +=解得：1220m n =− = ，所以直线AC 的解析式为1202y x =−+ 联立()212021102520y x y x =−+ =−−+解得：020x y = =或305x y = = ∴抛物线与AC 的交点为()30,5 解：当25205h =−=时，215102t =×，解得：1t =或1−（舍去），当25520h −时，2120102t =×， 解得：2t =或2−（舍去）， ∴该运动员从起跳到落地所用时间为123 3.1+=<，∵运动员要完成“飞天”动作至少在空中要停留3.1秒钟，∴该运动员从起跳到落地不能完成动作．【点睛】本题主要考查了二次函数的实际应用，明确题意，准确得到函数关系式是解题的关键． 25. 若函数G 在()m x n m n ≤≤<上的最大值记为M ，最小值记为N ，且满足2M N −=，则称函数在m x n ≤≤上的“极差函数”．（1）函数①21y x =−；②2y x ，其中函数______是在12x ≤≤上的“极差函数”；（填序号） （2）已知函数G ：()2430y ax ax a a =−+>，①当1a =时，函数G 是在1t x t ≤≤+上的“极差函数”，求t 的值；②函数G 是在221m x m +≤≤+（m 为整数）上的“极差函数”，若M N 为整数，求a 的值． 【答案】（1）① （2）①t 的值为12或52；②a 的值是18 【解析】【分析】（1）当12x ≤≤时，分别计算出两个函数的M ，N 的值，再计算出M N −，然后根据定义进行判断即可；（2）①当1a =时，()224321y x x x =−+=−−，可得抛物线对称轴为直线2x =，顶点坐标为()21−，，分四种情况：1t ≤，312t <≤，322t <≤，2t >，分别列方程可解得t 的值；②求出抛物线()22432y ax ax a a x a =−+=−−的对称轴为直线2x =，由221m m +≤+得m 1≥，从而得到23m +≥，根据函数G 是在221m x m +≤≤+（m 为整数）上的“极差函数”，求出244M am am =−，2N am a =−，从而得到()22442am am am a −−−=，即23420am am a −+−=①，根据M N为整数，可得1m +是4的因数，即可求得3m =，代入①即可求得a 的值．【小问1详解】 解：当12x ≤≤时，①21y x =−对函数①21y x =−， 20k => ，∴当12x ≤≤时，y 随x 的增大而增大，当1x =时，2111y N =×−==，当2x =时，2213y M =×−==，312M N ∴−=−=，∴函数①21y x =−是“极差函数”；对函数②2y x =，10a => ，对称轴为直线0x =，∴当12x ≤≤时，y 随x 的增大而增大，当1x =时，211y N ===，当2x =时，224y M ===，413M N ∴−=−=，∴函数②2y x =不是“极差函数”；故答案为：①；【小问2详解】解：①当1a =时，()224321y x x x =−+=−−，∴抛物线对称轴为直线2x =，顶点坐标为()21−，，当12t +≤，即1t ≤时，()221M t =−−，()()2212111N t t =+−−=−−，∴()()2221112t t −−−−−= ∴ 解得：12t =， 当312t <≤时，()221M t =−−，1N =−， ()()22112t −−−−=∴，解得：2t =+舍去)或2t =（舍去）， 当322t <≤时，()()2212111M t t =+−−=−−，1N =−， ()()21112t −−−−=∴，解得：1t =(舍去)或1t =舍去)，当2t >时，()()2212111M t t =+−−=−−，()221N t =−−，()()2211212t t −−−−−= ∴， 解得：52t =， 综上所述，t 的值为12或52； ②()22432y ax ax a a x a =−+=−− ，∴抛物线的对称轴为直线2x =，221m m +≤+ ，1m ∴≥23m ∴+≥，函数G ：243y ax ax a =−+在221m x m +≤≤+(m 为整数)上的“极差函数”， ()()2221421344M a m a m a am am ∴=+−++=−，()()222423N a m a m a am a =+−++=−，()22442am am am a ∴−−−=，即23420am am a −+−=①，M N为整数， 2244am am am a−∴−为整数， 即41m m +为整数， 44411m m m =−++ ，且m 为整数， ∴1m +是4的因数，又m 1≥，1m ∴=或3m =，而1m =时，M N 不符合题意，舍去，3m ∴=,把3m =代入①得：271220a a a −+−=，解得：18a=，a∴的值是18．【点睛】本题主要考查了二次函数的综合应用，熟练掌握二次函数的图象与性质，理解题中“极差函数”的定义，采用分类讨论的思想解题，是解决此题的关键．。
福建厦门松柏中学初三上期中考数学试卷(,)
2015-2016学年(上)松柏中学九年级期中考试卷
松柏中学2015-2016学年初三（上）期中考英语试卷九年级Units4-6（二）基础知识与运用（每小题1.5分，共30分）V. 选择填空：从A、B、C中，选出一个最佳答案完成句子。
17. — Do you know where Bill is from?— I only remember that he is from ________ European country.A. theB. aC. an18. — How do you often go to school?— I ________ take a bus, but now I ________ walking.A. used to; used toB. was used to; am used toC. used to; am used to19. — Do you think Tina is a very ________ girl?— Yes. And she’s popular with everyone in our class.A. seriousB. strangeC. lively20. They took ________ in their son, for he did quite well in the exam.A. prideB. proudC. influence21. — How nice your shoes are! Where did you buy them?— I bought them in Hong Kong. This pair of shoes ________ hand and it feels very comfortable.A. is made ofB. are made fromC. is made by22. Kate is so busy that she ________ goes shopping.A. oftenB. seldomC. usually23. — What’s the matter with Jack?— He got hurt in the P.E. class yesterday, so he was absent ________ school today.A. inB. offC. from24. Every driver should ________ drinking alcohol (酒精) before driving.A. tryB. avoidC. finish25. No matter ________ you are, you should follow the rules.A. whatB. whenC. who26. Lucy’s birthday party didn’t start ________ all her friends arrived.A. untilB. sinceC. while27. I will try my best to stop my son from ________ the same mistake.A. makeB. madeC. making28. — Can you help me move the desk, Peter?— ________.A. It doesn’t matterB. That’s rightC. My pleasureVI. 完形填空：从A、B、C中，选择一个最佳答案，使短文意思完整。
2015-2016学年（上）松柏中学九年级Unit2练习卷
2015-2016学年（上）松柏中学九年级Unit2练习卷2015-2016学年（上）松柏中学九年级unit2练习卷(⼆) 基础知识与运⽤（每⼩题1.5分，共30分）V. 选择填空：从A、B、C中，选出⼀个最佳答案完成句⼦。
17. — Do you know the boy who is talking to Jane over there?— No, he is completely a ________ to me.A. studentB. strangerC. relative18. Linda still misses her grandpa although he has been ________ for years.A. diedB. deathC. dead19. Jack was very excited because he received lots of ________ on his birthday.A. presentsB. storiesC. candles20. Every time she went shopping, she ended up ________ something she didn’t need.A. buyB. boughtC. buying21. — I have ________ three pounds during the past two months. What should I do?—You’d better eat less and do more exercise.A. washed awayB. set upC. put on22. The doctor warns me ________ more vegetables if I want to keep healthy.A. to eatB. to eatingC. eat23. — It seems that you are worried.— I am wondering ________ they can be here on time today.A. whenB. whetherC. where24. He celebrates two festivals with his family every year. One is the Spring Festival, and ________ ,the Mid-Autumn Festival.A. otherB. othersC. the other25. — ________ do you like best about the Lantern Festival?— I like the lanterns. I think they are fun ________.A. What; to watchB. What; watchingC. How; to watch26. — ________ lovely day it is today!—Yes. Let’s go out and enjoy the sunshine.A. How aB. What aC. How27. — Could you tell me ________?— Usually at the Dragon Boat Festival.A. when do Chinese people eat ZongziB. Why do Chinese people eat ZongziC. when Chinese people eat zongzi28. — I am going to the USA to spend my holidays next month.— ________.A. Sounds like funB. No, not at allC. Don’t w aste timeVI. 完形填空：从A、B、C中，选择⼀个最佳答案，使短⽂意思完整。
units 1-3单元练习(含答案)
Units 1-3一、单选1. --- What’s the of the car at present? --- It’s about 70 kilometers an hour.A. placeB. speedC. priceD. mark2. --- How nice the fish tastes! Could you tell me who taught you to cook it?---To be honest, I learnt it watching TV. I learn to cook many dishes TV.A. by; inB. by; onC. in; onD. in; in3. --- Many women have to __________ their husbands for their livings .--- That may not be true . Many women choose to go out to work themselves .A．put on B. decide on C．depend on D．come on4. When you come across new words in reading, it is not a good idea to in a dictionary at once.A. make up themB. look up themC. make them upD. look them up5. --- What did Tina say? --- Sorry, I didn’t ________ what she said.A. pay attention toB. get on withC. hold on toD. look forward to6. --- I wonder if I can learn English well. ---________. All things are difficult before they are easy.A. I am afraid soB. You’re slowC. It takes timeD. It’s a piece of cake7. ---You look a bit worried . ---It’s raining , but I ________my umbrella at home .A. tookB. broughtC. leftD. forgot8. --- Can you spare time to come to our Thanksgiving party? --- Well, I don’t know ________A. that I can finish my work by thenB. if can I finish the work by thenC. that can I finish the work by thenD. whether I can finish the work by then9. My father wants to know _________ next week .A. when my uncle leavesB. when will my uncle leaveC. when my uncle will leaveD. when does my uncle leave10. ---I haven’t d ecided where to go. Do you have any good ideas ? --- I ________ that we go swimming .A. promiseB. agreeC. realizeD. suggest11. I wonder _______ you would like to come to my birthday party .A. thatB. whetherC. that whetherD. that if12. — Look at the photo I took in Jinghong, Yunnan Province. ____ the Dai people were having!— Wow! They were celebrating the Water Festival.A. What funB. How funC. What a funD. How a fun13. ---Could you tell me____ about Valentine’s Day in Japan?--- Well, not only adults but children celebrate it.A. somethingB. anythingC. everythingD. nothing14. --- I am going back to America for Thanksgiving Day. ---____. And we will miss you.A. Enjoy yourselfB. You’re welcomeC. That’s interestingD. The same to you15.---What do you think of him ? --- He is such a kind man that we all ________ him very much .A. absorbB. acceptC. attractD. admire二、阅读理解（A）Winter solstice, as the name shows, means the coming of winter. As an important solar term in the traditional Chinese calendar, it is also a traditional holiday for Chinese, which is also called “冬节”，“长至节”，“亚岁”, etc. Generally, winter solstice occurs between December 21st and 23rd. According to the traditional Chinese calendar, five days constitutes a pentad and three pentads constitute a solar term. One year is divided into twelve periods and twelve climates which are regarded as twenty-four solar terms. The Winter Solstice is one of twenty-four solar terms. On this day, in the Northern Hemisphere the period of daytime is the shortest of the year and the period of night is longest. . In Northern China during winter solstice there is a custom of eating dumplings.1. There are _________ solar terms in a year.A. twelveB. fiveC. twenty-fourD. thirty-one2. People often eat _________ during winter solsticeA. mooncakesB. dumplingsC. noodlesD. chicken3. Winter solstice is in __________.A. JanuaryB. SeptemberC. OctoberD. December4. On winter solstice the period of night is ________in China.A. the longestB. the shortestC. darkestD. brightest5. Which day has the longest daytime in China?A. The beginning of springB. Summer solsticeC. Grain fullD. The beginning of autumn（B）Life comes in a package. This package includes happiness and sadness, failure and success, hope and despair. Life is a learning process. Experiences in life teach us new lessons and make us a better person. With each passing day we learn to deal with various situations.Love plays a main role in our life. Love makes you feel wanted. Without love a person could become cruel. In the early stage of our life, our parents are the ones who show us with love and care. They teach us about what is right and wrong, good and bad. But we don’t always care about it. It is only after marriage and having kids that a person understands others’ feelings.Happiness can bring people a peaceful mind. No mind is happy without peace. Sadness is the cause of the death of a loved one or the failure. But all of these things will pass away.Failure is the path to success. It helps us to touch the sky, teaches us to survive and shows us a specific way. Success brings in money, pride and self-respect.Hope is what keeps life going. Parents always hope their children will do well. Hope makes us dream. Hope builds in patience. Life teaches us not to despair even in the darkest hour, because after every night there is a day.Life teaches us not to regret over yesterday, for it has passed and is out of our control. Tomorrow is unknown, for it could either be bright or dark. So the only choice is to work hard today, so that we will enjoy a better tomorrow.6. We usually have to accept if we want to be successful.A. loveB. failureC. sadnessD. hope7. In which section can readers probably read the passage?A. Business.B. Travel.C. Lifestyles.D. Education.8. What does the word “despair” mean in Chinese?A. 颓废B. 遗憾C. 悲伤D. 绝望9. What’s the meaning of the last sentence of the whole passage?A. When choosing between “today” and “tomorrow”, you’d better enjoy tomorrow.B. If you work hard today, you’ll have a better life in the future.C. What you can only choose is to work hard today rather than tomorrow.D. The only choice you make is that you should enjoy a better tomorrow.10. What’s the purpose of the passage?A. To encourage people to love each other.B. To tell people how to deal with happiness and sadness.C. To give readers some information about life.D. To remind people to keep having a beautiful dream.B卷一、根据首字母及句意补全单词，并将单词完整地写在答题卷相应题号后1.A______ comes after March and people like to play kind jokes on the first day of that month.2. People usually say dogs are good at k_______ their way home by their sense of smell.3. Our First Lady, Peng Liyuan is also a very famous Chinese f_____ singer.4.Tianfu Square is in the c______ part of our city.5.My cousin h_____ my dictionary behind the plant when I went out of my room for dinner.二、完成对话。
福建省厦门市松柏中学2024-2025学年九年级上学期数学月考试题
福建省厦门市松柏中学2024-2025学年九年级上学期数学月考试题一、单选题1．下面的图形是用数学家名字命名的，其中既是轴对称图形又是中心对称图形的是（ ）A ． 赵爽弦图B ． 笛卡尔心形线C ． 科克曲线D ． 斐波那契螺旋线2．下列各式中，y 是x 的二次函数的为（ ） A ．2y ax bx c =++ B ．21y x =-+C ．y =D ．29y x =-+3．已知x ＝1是方程x 2﹣m ＝0的根，则m 的值可以是（ ） A ．1B ．﹣1C ．2D ．﹣24．抛物线y ＝x 2﹣9的顶点坐标是（ ） A ．(0，﹣9)B ．(﹣3，0)C ．(﹣9，0)D ．(3，0)5．下列对一元二次方程x 2+x+3=0根的情况的判断，正确的是（ ） A ．有两个不相等实数根 B ．有两个相等实数根 C ．没有实数根D ．有且只有一个实数根6．将抛物线y=﹣(x ＋1)2＋3向右平移2个单位再向上平移2个单位后得到的新抛物线的表达式为( )A ．y=﹣(x ＋3)2＋1B ．y=﹣(x ﹣1)2＋5C ．y=﹣(x ＋1)2＋5D ．y=﹣(x ＋3)2＋57．如图，将ABC V 绕点A 逆时针旋转55︒得到ADE V ，若70E ∠=︒且AD BC ⊥于点F ，则BAC ∠的度数为（ ）A ．65︒B ．70︒C ．75︒D ．80︒8．二次函数y=ax 2+bx-c 与一次函数y=ax+c 在同一直角坐标系中图象大致是（ ）A ．B ．C ．D ．9．如图，将一个小球从斜坡的点O 处抛出，小球的抛出路线可以用抛物线2142y x x =-刻画，斜坡可以用直线12y x =刻画．下列结论错误的是（ ）A ．小球落地点与点O 的水平距离为7mB ．当小球抛出高度达到7.5m 时，小球与点O 的水平距离为3mC ．小球与点O 的水平距离超过4m 时呈下降趋势D ．小球与斜坡的距离的最大值为49m 810．已知二次函数2(0)y ax bx c a =++≠，当y t ≥时，2x m ≤--或24x m ≥-+．若(3,)A m p --，(2,)B m q 是抛物线2y ax bx c =++上的两点，且p q >，则m 的取值范围为（ ）A ．513m -<<B ．1m <-或53m >C ．513m -<<D ．53m <-或1m >二、填空题11．方程29x =的解是． 12．已知()211350mm x x +-+-=是关于x 的一元二次方程，则m 的值为．13．若抛物线y ＝（x ﹣2）2+（m +1）的顶点在第一象限，则m 的取值范围为．14．《念奴娇·赤壁怀古》，在苏轼笔下，周瑜年少有为，文采风流，雄姿英发，谈笑间，樯橹灰飞烟灭，然天妒英才，英年早逝，欣赏下面改编的诗歌，“大江东去浪淘尽，千古风流数人物． 而立之年督东吴，早逝英年两位数．十位恰小个位三，个位平方与寿符．”则这位风流人物去世的年龄为岁．15．已知二次函数223y x ax =-+（其中x 是自变量且0a ≠），且21x -≤≤时，y 的最小值为1，则a 的值是．16．设等腰三角形的一腰与底边的长分别是方程x 2﹣6x+a=0的两根，当这样的三角形只有一个时，则a 的取值范围为．三、解答题 17．解方程2210x x --=18．如图，在平行四边形ABCD 中，点M ，N 分别在边AB ，CD 上，且AM CN =．求证：DM BN =．19．先化简，再求值： 2111a a a -⎛⎫+÷ ⎪⎝⎭，其中1a ．20．已知关于x 的一元二次方程x 2﹣4x ﹣m 2＝0． （1）求证：该方程有两个不相等的实数根；（2）若该方程的两个实数根x 1，x 2满足12123x x x x ++＝，求m 的值．21．如图，在五边形ABCDE 中，90ABC AED ∠=∠=︒，120BAE ∠=︒，60CAD ∠=︒，AB AE =．(1)将AED △绕点A 顺时针旋转得到ABF △，使AE 与AB 重合，请画出图形； (2)求证：CD BC DE =+．22．如图，抛物线y ＝x 2+bx +c 与x 轴交于A （﹣1，0）和B 点，与y 轴交于点C （0，﹣3）．（1）求该抛物线的解析式；（2）观察图象，直接写出不等式x 2+bx +c ＞0的解集；（3）设（1）中的抛物线上有一个动点P ，点P 在该抛物线上滑动且满足S △P AB ＝8，请求出此时P 点的坐标．23．2022年9月，教育部正式印发《义务教育课程方案》，《劳动教育》称为一门独立的课程，某学校率先行动，在校园开辟了一块劳动教育基地；一面利用学校的墙（墙的最大可用长度为15米），用长为30米的篱笆，围成矩形养殖园如图1，已知矩形的边CD靠院墙，ADx．和BC与院墙垂直，设AB的长为m(1)当围成的矩形养殖园面积为2100m时，求BC的长；(2)如图2，该学校打算在养殖园饲养鸡、鸭、鹅三种家禽，需要在中间多加上两道篱笆作为隔离网，并与院墙垂直，请问此时养殖园的面积能否达到2100m若能，求出AB的长；若不能，请说明理由．24．项目式学习项目主题：合理设计智慧泉源项目背景：洒水车是城市绿化的生力军，清扫道路，美化市容，降温除尘，方便出行．如图1，一辆洒水车正在沿着公路行驶（平行于绿化带），为绿化带浇水．数学小组成员想了解洒水车要如何把控行驶路线与绿化带之间的距离，才能保证喷出的水能浇灌到整个绿化带．围绕这个问题，该小组开展了“合理设计智慧泉源”为主题的项目式学习．任务一测量建模建立如图2所示的平面直角坐标系，可以把洒水车喷出水的上、下边缘抽象为两条抛物线的部分图象，喷水口H离地面竖直高度h为1.2米．上边缘抛物线最高点A离喷水口的水平距离为2米，高出喷水口0.4米．（1）求上边缘抛物线的函数解析式；任务二推理分析小组成员通过进一步分析发现：当喷头竖直高度调整时，喷头喷出的水柱抛物线形状不发生改变，即下边缘抛物线是由上边缘抛物线向左平移得到的，把绿化带横截面抽象为矩形DEFG ，其水平宽度 1.8DE =米，竖直高度 1.1EF =米，洒水车到绿化带的距离OD 为d 米．（2）求下边缘抛物线与x 轴交点B 的坐标；（3）若 2.2d =米，则洒水车行驶时喷出的水能否浇灌到整个绿化带？请说明理由． 25．已知直线(0)y kx m k =+<与抛物线2y x bx c =++相交于抛物线的顶点P 和另一点Q ，点P 在第四象限．()1若点()2,P c -，点Q 的横坐标为1，求点Q 的坐标；()2过点Q 作x 轴的平行线与抛物线2y x bx c =++的对称轴交于点E ，直线PQ 与y 轴交于点M ，若EQ PE =，22(5)4b c b =-<-，求OMQ V的面积S 的取值范围．。
人教九年级英语第一次月考(Units1-3)试卷(含答案)
人教九年级英语第一次月考（Units1-3）试卷时间：100分钟满分：100分一、单项选择。
(共15小题，每小题1分，共15分)( )1.I t’stime for me to visit the Guan yin Lake.A. fiveB. the fiveC. fifthD. the fifth()2.(青岛中考) Jack is happy. Mr.Wang, an excellent teacher, teachesmath this term.A. heB. himC. himself D his()3. I think that the races are .A. watch funB. fun watchC. fun to watchD. fun to watching()4.(上海中考)Mr. Zhou is good at cooking and hehasdecidedhis own restaurant.A.openB. openedC. to openD. opening( )5. -Could you tell me how to remember new words quickly?-Yes. I think a tree can help you a lot.A.grammarB. equationC. punctuationD.vocabulary()6.(包头中考) As we all know, a person learns many things by making mistakes and them.A.correctsB. correctC. to correctD. correcting()7.(扬州中考)- I offered Sandy a helping hand. However, sheit.-Maybe she can manage herself.A. receivedB. returnedC. refusedD. rewarded()8. Tom didn’t go to bed he finished his homework last night.A. becauseB. ifC. untilD. while()9.(铁岭中考) Jim has read lots of books and he is full of .A.courageB. knowledgeC. healthD. challenge( )10.(云南中考)- What do you think of your junior high school life?-I think it is one ofperiods in my life.A.wonderfulB. more wonderfulC. much wonderfulD. the most wonderful( )11.(天津中考)-Jerry, have you ever been to the Great Wall?-Yes. I there with my parents last year.A.goB. wentC. will goD. have go( ) 12. My mother asked me ifwith her.A. will I go shoppingB. I will go shoppingC. would I go shoppingD. I would go shopping()13.(盐城中考)-do you plan to buy?- I haven't made up my mind. I'll just look around.A. WhoB. HowC. WhyD.What( )14. -I don't know how to improve my spoken English.-Whyan English language club?A. don't joinB. not joinsC. not you joinD.don’t you join()15.(长春中考)- Shall we make a cake for Tina as a birthday gift?- .It will give her a big surprise.A. Good ideaB. It's a pityC. You're welcomeD. Never mind二、完形填空。
人教版九年级英语全册 Unit1-3 单元练习题(有答案)
九年级units1--3测试卷一、单项选择题(共30题,共30分)1.He suggested ________ home.A goingB wentC goes2.I always go to school ______.A in timeB on timeC in a time3.Teacher always warns the school kids _______ with strangers.A not to talkB not talkC no talking4.—Open the window please, Mike.—______? I didn’t hear what you said.A WhatB PardonC Really5.— _______ nice dress it is!—Thank you!A What aB WhatC How6.—I wonder ______ we should go, Tom?—How about the Water City Restaurant?A whatB whichC where7.I think this book is interesting. I feel ______.A excitedB excitingC excites8.They met many different people ______ their way ______ the bank?A in; ofB on; toC with; for9.Please ______ at six in the morning.A wake up himB wake him upC woke him10.Are you looking forward ______ at the concert?A to see himB to seeing himC see him11.He is ______. Tell him not______.A in a rush; rushB in rush; to rushC in a rush; to rush12.The Internet is very useful. We can get a lot of ________ from it.A thingB messageC informationsD information13.— I think this book is ______.—Yes, it’s just 5 yuan.A interestingB fascinatingC inexpensive14.Can you tell me how to ______ the post office?A get toB arrive atC get in15.I wonder _______ what he said is right.A ifB thatC whatD /16.—Can you tell me where we should go?—_________ the Science Museum?A Yes, I canB How isC How aboutD Shall we17.I’m not sure whether I can hold a party in the open air, because it ______ the weather.A stands forB depends onC lives onD agrees with18.What a nice day! We should go sightseeing ______ watching TV in the hotel.A because ofB instead ofC together withD out of19.Her son ______ coke, but now he ______ milk.A is used to drinking; used to drinkB used to drinking; drinksC used to drink; is used to drinking20.—How do people celebrate Halloween?—They ______ like a ghost.A put upB dress upC turn up21.—What do you _____ Spring festival?—It’s a funny day.A think ofB care ofC feel of22.The doctor warns my father not ________.A to drinkB drinksC drinking23.His cat has ________ for five weeks.A diedB been deadC dying24.Do you know the true _______ of Christmas?A meanB meansC spiritsD spirit25.I don’t like spiders. I think they are _______.A scaryB tiredC boredD friendly26.Our class meeting ended up ______.A singB singingC to singD sang27.The New Year is _________cleaning and washing away bad things.A a time toB a time aboutC a time for28.—Tim got up late today.—______, he missed the first bus.A As a result ofB As a resultC As a result that29.There are two people in the room. ______ is Tom, and ______ is Lucy.A it; the otherB one; the otherC one; the others30.Have you decided when ________ for London?A will you leaveB you will leaveC are you goingD you are going二、完形填空(共10题,共10分)The Dragon Boat Festival is celebrated 31 the fifth day of the fifth lunar month by 32 zongzi and holding dragon boat races.The festival began during the period of Warring States (战国时期), and has a 33 of more than 2,000 years. The date of the festival is said to be the date when Qu Yuan 34 . He was a wise and upright (正直的)man, and was loved by people. He wanted the emperor of Chu 35 against the State of Qin with the cooperation (联合) with the State of Qi, but was refused and sent to the border area. During his stay in other states, he wrote 36 poems(诗) expressing his strong feelings for Chu. On the day when Chu was defeated by Qin, Qu Yuan jumped into Miluo River expressing his strong love for his native land by taking his own life.After the 37 of Qu Yuan, people of Chu went to Miluo River to mourn (哀悼) over the great 38 they loved so much. Some threw eggs and rice wrapped in leaves into the river to feed the fish 39 keep them away from Qu Yuan.Now the Dragon Boat Festival has become a 40 festival for the Chinese people.31.A at B on C in D by32.A eating B to eat C ate D was eating33.A vacation B history C date D day34.A died B born C bore D dead35.A fighter B fighting C fight D to fight36.A much B a lot C many D lots37.A die B dying C dead D death38.A emperor B doctor C poet D teacher39.A in order to B so that C in order that D as a result40A modern B traditional C international D fashionable三、阅读理解(共30分)A (★★☆☆☆)Some Festivals Around the World（）41. What do people do at the Holi Festival?A They drink beer.B They treat guests.C They watch the dog-sledding race.D They throw colored powder and water.（）42. What can you see on Saint Patrick’s Day?A Parades.B Dogs.C Bonfires.D Tents（）43. Where is the Oktoberfest celebrated?A In ChinaB in GermanyC In EnglandD In Ireland.（）44. What can we know about the dog-sledding race according to the passage?A The race takes place on March 17th.B The race runs through six kilometers.C The race takes place in India every yearD Over 20 persons take part in the race every year.（）45. Which of the following is NOT true according to the passage?A The Holi Festival is an Indian festival.B Saint Patrick’s Day is celebrated in March.C The Oktoberfest lasts only for two days.D It is best to visit Quebec in winter.B( ★★☆☆☆ )Can you swim? Do you like swimming? Well, how can you learn to swim? I think the best way is to go into the water and learn, I’m afraid you’ll never learn to swim just by reading books about swimming or looking at others swimming.It’s the same with English study. We must practice, practice and practice.Listening and speaking are very important for beginners. We can listen to English programs on the r adio. You may just understand a few words. It doesn’t matter. Just be relaxed, and try to catch every word.Somebody may be a good listener, but he is afraid to speak because he is afraid of making mistakes. You know we sometimes make mistakes when we peak Chinese. Don’t be afraid. We must be brave. If you really want to learn English well, you must try to speak with everyone as long as he knows English.When there’s nobody to talk with, you can talk to yourself in English. It’s interesting and also a good way to practice your spoken English. Remember, the more you speak, the fewer mistakes you’ll make.Reading and writing are more important for senior（年级较高的）school students. First we must choose the books we’re interested in. A lot of reading will improve yo ur language sense. This is very important.It’s easier said than done. Well, let’s do more practice from now on. I’m sure you’ll learn English well in this way.根据材料内容选择最佳答案。
福建省厦门市思明区松柏中学九年级上册期中数学试卷 含解析
精品资料九年级（上）期中数学试卷一．选择题（共10小题）1．关于x的方程（m+1）x2+2mx﹣3＝0是一元二次方程，则m的取值是（）A．任意实数B．m≠1 C．m≠﹣1 D．m＞12．点P（2，﹣5）关于原点对称点的坐标是（）A．（﹣5，﹣2）B．（2，5）C．（﹣2，5）D．（﹣5，2）3．如果将抛物线y＝x2+2向下平移1个单位，那么所得新抛物线的表达式是（）A．y＝（x﹣1）2+2 B．y＝（x+1）2+2 C．y＝x2+1 D．y＝x2+34．如图所示，在⊙O中，，∠A＝30°，则∠B＝（）A．150°B．75°C．60°D．15°5．平面上一点P与⊙O的点的距离的最小值是2，最大值是8，则⊙O的直径是（）A．6或10 B．3或5 C．6 D．56．如图，已知线段OA交⊙O于点B，且OB＝AB，点P是⊙O上的一个动点，那么∠OAP的最大值是（）A．30°B．45°C．60°D．90°7．如图，△ODC是由△OAB绕点O顺时针旋转31°后得到的图形，若点D恰好落在AB上，且∠AOC的度数为100°，则∠DOB的度数是（）A．34°B．36°C．38°D．40°8．下列说法：①平分弦的直径垂直于弦②三点确定一个圆，③相等的圆心角所对的弧相等④垂直于半径的直线是圆的切线⑤三角形的内心到三条边的距离相等其中不正确的有（）A．1个B．2个C．3个D．4个9．如图，抛物线y＝ax2+bx+c（a≠0）的对称轴为直线x＝1，与x轴的一个交点坐标为（﹣1，0），其部分图象如图所示，下列结论：①4ac＜b2；②3a+c＞0；③方程ax2+bx+c＝0的两个根是x1＝﹣1，x2＝3；④当y＞3时，x的取值范围是0≤x＜2；⑤当x＜0时，y随x增大而增大其中结论正确的个数是（）A．1个B．2个C．3个D．4个10．如图，边长为2a的等边三角形ABC中，M是高CH所在直线上的一个动点，连接MB，将线段BM绕点B逆时针旋转60°得到BN，连接HN．则在点M运动过程中，线段HN长度的最小值是（）A．a B．a C．D．二．填空题（共6小题）11．已知关于x的方程x2﹣3x﹣m＝0的一个根是1，则m＝．12．如图，若∠BOD＝140°，则∠BCD＝．13．某一抛物线顶点在y轴上，且函数有最小值，则具有这样性质的抛物线表达式可能为（只写一个）14．有一人患了流感，经过两轮传染后，共有144人患了流感．假设每轮传染中，平均一个人传染了x个人，依题意可列方程，得．15．在等边△ABC中，AB＝5，点D是AB上的定点，点P是BC上的动点，DP绕点D逆时针旋转60°恰好落在AC上，已知BD＝2，则此时DP＝．16．如图，以扇形OAB的顶点O为原点，半径OB所在的直线为x轴，建立平面直角坐标系，点B的坐标为（2，0），若抛物线y＝x2+k与扇形OAB的边界总有两个公共点，则实数k的取值范围是．三．解答题（共9小题）17．解方程：x2﹣2x﹣5＝0．18．已知抛物线经过点（0，3）、（1，0）、（2，5）三点，求此抛物线解析式．19．已知关于x的一元二次方程x2﹣2x﹣m＝0有两个不相等的实数根，且n+2m＝4，求n 的取值范围．20．如图，在Rt△ABC中，∠ACB＝90°，BD平分∠ABC．求作⊙O，使得点O在边AB上，且⊙O经过B、D两点；并证明AC与⊙O相切．（尺规作图，保留作图痕迹，不写作法）21．如图，△ABC中，AB＝AC，∠BAC＝50°，P是BC边上一点，将△ABP绕点A逆时针旋转50°，点P旋转后的对应点为P′．（1）画出旋转后的三角形；（2）连接PP′，若∠BAP＝20°，求∠PP′C的度数；22．如图，在⊙O中，＝，∠ACB＝60°．（1）求证：∠AOB＝∠BOC＝∠AOC；（2）若D是的中点，求证：四边形OADB是菱形．23．定义：方程cx2+bx+a＝0是一元二次方程ax2+bx+c＝0的倒方程．（1）已知x＝2是x2+2x+c＝0的倒方程的解，求c的值；（2）若一元二次方程ax2﹣2x+c＝0无解，求证：它的倒方程也一定无解；（3）一元二次方程ax2﹣2x+c＝0（a≠c）与它的倒方程只有一个公共解，它的倒方程只有一个解，求a和c的值．24．已知⊙O中，弦AB＝AC，∠BAC＝120°（1）如图①，若AB＝3，求⊙O的半径．（2）如图②，点P是∠BAC所对弧上一动点，连接PB、PA、PC，试请判断PA、PB、PC 之间的数量关系并说明理由．25．已知二次函数y＝ax2+bx+c的图象经过点A（1，0）．（1）当b＝2，c＝﹣3时，求二次函数的解析式及二次函数最小值；（2）二次函数的图象经过点B（m，e），C（3﹣m，e）且对任意实数x，函数值y都不小于﹣．①求此时二次函数的解析式；②若次函数与y轴交于点D，在对称轴上存在一点P，使得PA+PD有最小值，求点P坐标及PA+PD的最小值．参考答案与试题解析一．选择题（共10小题）1．关于x的方程（m+1）x2+2mx﹣3＝0是一元二次方程，则m的取值是（）A．任意实数B．m≠1 C．m≠﹣1 D．m＞1【分析】本题根据一元二次方程的定义求解．一元二次方程必须满足二次项系数不为0，所以m+1≠0，即可求得m的值．【解答】解：根据一元二次方程的定义得：m+1≠0，即m≠﹣1，故选：C．2．点P（2，﹣5）关于原点对称点的坐标是（）A．（﹣5，﹣2）B．（2，5）C．（﹣2，5）D．（﹣5，2）【分析】平面直角坐标系中任意一点P（x，y），关于原点的对称点是（﹣x，﹣y），据此可得结论．【解答】解：根据中心对称的性质，可知：点P（2，﹣5）关于原点对称的点的坐标为：（﹣2，5）．故选：C．3．如果将抛物线y＝x2+2向下平移1个单位，那么所得新抛物线的表达式是（）A．y＝（x﹣1）2+2 B．y＝（x+1）2+2 C．y＝x2+1 D．y＝x2+3【分析】根据向下平移，纵坐标相减，即可得到答案．【解答】解：∵抛物线y＝x2+2向下平移1个单位，∴抛物线的解析式为y＝x2+2﹣1，即y＝x2+1．故选：C．4．如图所示，在⊙O中，，∠A＝30°，则∠B＝（）A．150°B．75°C．60°D．15°【分析】先根据等弧所对的弦相等求得AB＝AC，从而判定△ABC是等腰三角形；然后根据等腰三角形的两个底角相等得出∠B＝∠C；最后由三角形的内角和定理求角B的度数即可．【解答】解：∵在⊙O中，，∴AB＝AC，∴△ABC是等腰三角形，∴∠B＝∠C；又∠A＝30°，∴∠B＝＝75°（三角形内角和定理）．故选：B．5．平面上一点P与⊙O的点的距离的最小值是2，最大值是8，则⊙O的直径是（）A．6或10 B．3或5 C．6 D．5【分析】点P应分为位于圆的内部位于外部两种情况讨论．当点P在圆内时，点到圆的最大距离与最小距离的和是直径；当点P在圆外时，点到圆的最大距离与最小距离的差是直径，由此得出答案．【解答】解：当点P在圆内时，因为点P与⊙O的点的距离的最小值是2，最大值是8，所以圆的直径为10，当点P在圆外时，因为点P与⊙O的点的距离的最小值是2，最大值是8，所以圆的直径为6．故选：A．6．如图，已知线段OA交⊙O于点B，且OB＝AB，点P是⊙O上的一个动点，那么∠OAP的最大值是（）A．30°B．45°C．60°D．90°【分析】根据题意找出当OP⊥AP时，∠OAP取得最大值．所以在Rt△AOP中，利用直角三角形中锐角三角函数的定义可以求得此时∠OAP的值．【解答】解：根据题意知，当∠OAP取最大值时，OP⊥AP；在Rt△AOP中，∵OP＝OB，OB＝AB，∴OA＝2OP，∴∠OAP＝30°．故选：A．7．如图，△ODC是由△OAB绕点O顺时针旋转31°后得到的图形，若点D恰好落在AB上，且∠AOC的度数为100°，则∠DOB的度数是（）A．34°B．36°C．38°D．40°【分析】根据旋转的性质求出∠AOD和∠BOC的度数，计算出∠DOB的度数．【解答】解：由题意得，∠AOD＝31°，∠BOC＝31°，又∠AOC＝100°，∴∠DOB＝100°﹣31°﹣31°＝38°．故选：C．8．下列说法：①平分弦的直径垂直于弦②三点确定一个圆，③相等的圆心角所对的弧相等④垂直于半径的直线是圆的切线⑤三角形的内心到三条边的距离相等其中不正确的有（）A．1个B．2个C．3个D．4个【分析】举出反例图形，即可判断①②③④；根据角平分线性质即可推出⑤．【解答】解：如图∵弦CD和直径AB，符合AB平分弦CD，且AB是直径，但AB和CD不垂直，∴①错误；∵在同一直线上的三点不能确定一个圆，∴②错误；∵如图圆心角∠COD＝∠AOB，但弧AB和弧CD不相等，∴③错误；∵如图CD⊥半径OA，但CD不是圆的切线，∴④错误；∵根据角平分线的性质即可得出三角形的内心到三角形的三边距离相等，∴⑤正确；∴不正确的有4个，故选：D．9．如图，抛物线y＝ax2+bx+c（a≠0）的对称轴为直线x＝1，与x轴的一个交点坐标为（﹣1，0），其部分图象如图所示，下列结论：①4ac＜b2；②3a+c＞0；③方程ax2+bx+c＝0的两个根是x1＝﹣1，x2＝3；④当y＞3时，x的取值范围是0≤x＜2；⑤当x＜0时，y随x增大而增大其中结论正确的个数是（）A．1个B．2个C．3个D．4个【分析】利用抛物线与x轴的交点个数可对①进行判断；由对称轴方程得到b＝﹣2a，然后根据x＝﹣1时函数值为0可得到3a+c＝0，则可对②进行判断；利用抛物线的对称性得到抛物线与x轴的一个交点坐标为（3，0），则可对③进行判断；根据抛物线在x 轴上方所对应的自变量的范围可对④进行判断；根据二次函数的性质对⑤进行判断．【解答】解：∵抛物线与x轴有2个交点，∴b2﹣4ac＞0，所以①正确；∵x＝﹣＝1，即b＝﹣2a，而x＝﹣1时，y＝0，即a﹣b+c＝0，∴a+2a+c＝0，所以②错误；∵抛物线的对称轴为直线x＝1，而点（﹣1，0）关于直线x＝1的对称点的坐标为（3，0），∴方程ax2+bx+c＝0的两个根是x1＝﹣1，x2＝3，所以③正确；根据对称性，由图象知，当0＜x＜2时，y＞3，所以④错误；∵抛物线的对称轴为直线x＝1，∴当x＜1时，y随x增大而增大，所以⑤正确．故选：C．10．如图，边长为2a的等边三角形ABC中，M是高CH所在直线上的一个动点，连接MB，将线段BM绕点B逆时针旋转60°得到BN，连接HN．则在点M运动过程中，线段HN长度的最小值是（）A．a B．a C．D．【分析】取CB的中点G，连接MG，根据等边三角形的性质可得BH＝BG，再求出∠HBN＝∠MBG，根据旋转的性质可得MB＝NB，然后利用“边角边”证明∴△MBG≌△NBH，再根据全等三角形对应边相等可得HN＝MG，然后根据垂线段最短可得MG⊥CH时最短，再根据∠BCH＝30°求解即可．【解答】解：如图，取BC的中点G，连接MG，∵旋转角为60°，∴∠MBH+∠HBN＝60°，又∵∠MBH+∠MBC＝∠ABC＝60°，∴∠HBN＝∠GBM，∵CH是等边△ABC的对称轴，∴HB＝AB，∴HB＝BG，又∵MB旋转到BN，∴BM＝BN，在△MBG和△NBH中，，∴△MBG≌△NBH（SAS），∴MG＝NH，根据垂线段最短，MG⊥CH时，MG最短，即HN最短，此时∵∠BCH＝×60°＝30°，CG＝AB＝×2a＝a，∴MG＝CG＝×a＝，∴HN＝，故选：D．二．填空题（共6小题）11．已知关于x的方程x2﹣3x﹣m＝0的一个根是1，则m＝﹣2 ．【分析】已知x＝1是方程的根，把x＝1代入方程即可得到关于m的方程，即可求得m 的值．【解答】解：把x＝1代入方程可得：1﹣3﹣m＝0，解得m＝﹣2．故答案为：﹣2．12．如图，若∠BOD＝140°，则∠BCD＝110°．【分析】根据圆周角定理求出∠A，根据圆内接四边形的性质计算即可．【解答】解：由圆周角定理得，∠A＝∠BOD＝70°，∵四边形ABCD是圆内接四边形，∴∠BCD＝180°﹣∠A＝110°，故答案为：110°．13．某一抛物线顶点在y轴上，且函数有最小值，则具有这样性质的抛物线表达式可能为y＝x2+1（答案不唯一）（只写一个）【分析】直接利用抛物线顶点在y轴上，则一次项系数为零，再利用函数有最小值，则二次项系数大于零，进而得出答案．【解答】解：∵抛物线顶点在y轴上，函数有最小值，∴二次函数可以为：y＝x2+1（答案不唯一）．故答案为：y＝x2+1（答案不唯一）．14．有一人患了流感，经过两轮传染后，共有144人患了流感．假设每轮传染中，平均一个人传染了x个人，依题意可列方程，得（1+x）2＝144 ．【分析】患流感的人把病毒传染给别人，自己仍然患病，包括在总数中．设每轮传染中平均一个人传染了x个人，则第一轮传染了x个人，第二轮作为传染源的是（x+1）人，则传染x（x+1）人，依题意列方程：1+x+x（1+x）＝144即可．【解答】解：设每轮传染中平均一个人传染了x个人，依题意得1+x+x（1+x）＝144，即（1+x）2＝144，故答案为：（1+x）2＝144．15．在等边△ABC中，AB＝5，点D是AB上的定点，点P是BC上的动点，DP绕点D逆时针旋转60°恰好落在AC上，已知BD＝2，则此时DP＝．【分析】如图，连接PP'，过点D作DE⊥BC，由旋转的性质可证△DP'P是等边三角形，由“AAS”可证△BDP≌△CPP'，可得BD＝CP＝2，可求BP＝3，由直角三角形的性质和勾股定理可求DP的长．【解答】解：如图，连接PP'，过点D作DE⊥BC，∵DP绕点D逆时针旋转60°，∴DP＝DP'，∠PDP'＝60°，∴△DP'P是等边三角形，∴DP＝PP'，∠DPP'＝60°，∵△ABC是等边三角形，∴AB＝BC＝AC，∠A＝∠B＝∠C＝60°，∵∠BPP'＝∠C+∠PP'C＝∠BPD+∠DPP'，∴∠PP'C＝∠BPD，且DP＝PP'，∠B＝∠C，∴△BDP≌△CPP'（AAS）∴BD＝CP＝2，∴BP＝3，∵∠B＝60°，BD＝2，DE⊥BC，∴BE＝1，DE＝BE＝，∴PE＝2，∴DP＝＝＝，故答案为．16．如图，以扇形OAB的顶点O为原点，半径OB所在的直线为x轴，建立平面直角坐标系，点B的坐标为（2，0），若抛物线y＝x2+k与扇形OAB的边界总有两个公共点，则实数k的取值范围是﹣2＜k＜．【分析】根据∠AOB＝45°求出直线OA的解析式，然后与抛物线解析式联立求出有一个公共点时的k值，即为一个交点时的最大值，再求出抛物线经过点B时的k的值，即为一个交点时的最小值，然后写出k的取值范围即可．【解答】解：由图可知，∠AOB＝45°，∴直线OA的解析式为y＝x，联立消掉y得，x2﹣2x+2k＝0，△＝b2﹣4ac＝（﹣2）2﹣4×1×2k＝0，即k＝时，抛物线与OA有一个交点，此交点的横坐标为1，∵点B的坐标为（2，0），∴OA＝2，∴点A的坐标为（，），∴交点在线段AO上；当抛物线经过点B（2，0）时，×4+k＝0，解得k＝﹣2，∴要使抛物线y＝x2+k与扇形OAB的边界总有两个公共点，实数k的取值范围是﹣2＜k＜．故答案为：﹣2＜k＜．三．解答题（共9小题）17．解方程：x2﹣2x﹣5＝0．【分析】先利用配方法得到（x﹣1）2＝6，然后利用直接开平方法解方程．【解答】解：x2﹣2x＝5，x2﹣2x+1＝6，（x﹣1）2＝6，x﹣1＝±，所以x1＝1+，x2＝1﹣．18．已知抛物线经过点（0，3）、（1，0）、（2，5）三点，求此抛物线解析式．【分析】把点A、B、C的坐标代入函数解析式得到关于a、b、c的三元一次方程组，然后求解即可．【解答】解：将（0，3）、（1，0）、（2，5）三点代入二次函数y＝ax2+bx+c得：，解得，则抛物线解析式为y＝4x2﹣7x+3．19．已知关于x的一元二次方程x2﹣2x﹣m＝0有两个不相等的实数根，且n+2m＝4，求n 的取值范围．【分析】利用判别式的意义得到△＝（﹣2）2﹣4×（﹣m）＞0，然后解关于m的不等式即可．【解答】解：根据题意得△＝（﹣2）2﹣4×（﹣m）＞0，解得m＞﹣1．即m的取值范围为m＞﹣1．20．如图，在Rt△ABC中，∠ACB＝90°，BD平分∠ABC．求作⊙O，使得点O在边AB上，且⊙O经过B、D两点；并证明AC与⊙O相切．（尺规作图，保留作图痕迹，不写作法）【分析】作BD的垂直平分线交AB于O，再以O点为圆心，OB为半径作圆即可；接着证明OD∥BC得到∠ODC＝90°，然后根据切线的判定定理可判断AC为⊙O的切线．【解答】解：如图，⊙O为所作．证明：连接OD，如图，∵BD平分∠ABC，∴∠CBD＝∠ABD，∵OB＝OD，∴∠OBD＝∠ODB，∴∠CBD＝∠ODB，∴OD∥BC，∴∠ODA＝∠ACB，又∠ACB＝90°，∴∠ODA＝90°，即OD⊥AC，∵点D是半径OD的外端点，∴AC与⊙O相切．21．如图，△ABC中，AB＝AC，∠BAC＝50°，P是BC边上一点，将△ABP绕点A逆时针旋转50°，点P旋转后的对应点为P′．（1）画出旋转后的三角形；（2）连接PP′，若∠BAP＝20°，求∠PP′C的度数；【分析】（1）将△ABP绕点A逆时针旋转50°，点P旋转后的对应点为P′，据此可得旋转后的三角形；（2）依据旋转的性质，即可得到∠PAP'＝∠BAC＝50°，AP＝AP'，△ABP≌△ACP'，再根据等腰三角形的性质，即可得到∠B的度数以及∠AP'P＝65°、∠APB＝95°＝∠AP'C，最后依据∠PP'C＝∠AP'C﹣∠AP'P进行计算即可．【解答】解：（1）旋转后的三角形ACP'如图所示：（2）由旋转可得，∠PAP'＝∠BAC＝50°，AP＝AP'，△ABP≌△ACP'，∴∠APP'＝∠AP'P＝65°，∠AP'C＝∠APB，∵∠BAC＝50°，AB＝AC，∴∠B＝65°，又∵∠BAP＝20°，∴∠APB＝95°＝∠AP'C，∴∠PP'C＝∠AP'C﹣∠AP'P＝95°﹣65°＝30°．22．如图，在⊙O中，＝，∠ACB＝60°．（1）求证：∠AOB＝∠BOC＝∠AOC；（2）若D是的中点，求证：四边形OADB是菱形．【分析】（1）根据圆心角、弧、弦的关系，由＝得AB＝AC，加上∠ACB＝60°，则可判断△ABC是等边三角形，所以AB＝BC＝CA，于是根据圆心角、弧、弦的关系即可得到∠AOB＝∠BOC＝∠AOC；（2）连接OD，如图，由D是的中点得＝，则根据圆周角定理得∠AOD＝∠BOD ＝∠ACB＝60°，易得△OAD和△OBD都是等边三角形，则OA＝AD＝OD，OB＝BD＝OD，所以OA＝AD＝DB＝BO，于是可判断四边形OADB是菱形．【解答】证明：（1）∵＝，∴AB＝AC，∵∠ACB＝60°，∴△ABC是等边三角形，∴AB＝BC＝CA，∴∠AOB＝∠BOC＝∠AOC；（2）连接OD，如图，∵D是的中点，∴＝，∴∠AOD＝∠BOD＝∠ACB＝60°，又∵OD＝OA，OD＝OB，∴△OAD和△OBD都是等边三角形，∴OA＝AD＝OD，OB＝BD＝OD，∴OA＝AD＝DB＝BO，∴四边形OADB是菱形．23．定义：方程cx2+bx+a＝0是一元二次方程ax2+bx+c＝0的倒方程．（1）已知x＝2是x2+2x+c＝0的倒方程的解，求c的值；（2）若一元二次方程ax2﹣2x+c＝0无解，求证：它的倒方程也一定无解；（3）一元二次方程ax2﹣2x+c＝0（a≠c）与它的倒方程只有一个公共解，它的倒方程只有一个解，求a和c的值．【分析】（1）先写出x2+2x+c＝0的倒方程为cx2+2x+1＝0，然后把x＝2代入cx2+2x+1＝0可求出c的值；（2）根据判别式的意义，由方程ax2﹣2x+c＝0无解得到ac＞1，再写出一元二次方程ax2﹣2x+c＝0的倒方程为cx2﹣2x+a＝0，计算倒方程的判别式，从而得到结论；（3）利用倒方程只有一个解可判断倒方程为一元一次方程，则c＝0，解此方程得x＝，把x＝代入ax2﹣2x＝0得a×﹣a＝0，然后解关于a的方程即可．【解答】（1）解：x2+2x+c＝0的倒方程为cx2+2x+1＝0，把x＝2代入cx2+2x+1＝0得4c+4+1＝0，解得c＝﹣；（2）证明：∵一元二次方程ax2﹣2x+c＝0无解，∴△＝（﹣2）2﹣4ac＜0，∴ac＞1，一元二次方程ax2﹣2x+c＝0的倒方程为cx2﹣2x+a＝0，∵△′＝（﹣2）2﹣4ca＝4﹣4ac，而ac＞1，∴△′＜0，∴它的倒方程也一定无解；（3）一元二次方程ax2﹣2x+c＝0的倒方程为cx2﹣2x+a＝0，而倒方程只有一个解，∴c＝0，则﹣2x+a＝0，解得x＝，把x＝代入ax2﹣2x＝0得a×﹣a＝0，而a≠c，∴a＝2或a＝﹣2．24．已知⊙O中，弦AB＝AC，∠BAC＝120°（1）如图①，若AB＝3，求⊙O的半径．（2）如图②，点P是∠BAC所对弧上一动点，连接PB、PA、PC，试请判断PA、PB、PC 之间的数量关系并说明理由．【分析】（1）连接OA、OB、OC，如图1，证明△OAB≌△OAC得到∠OAB＝∠OAC，则∠OAB ＝∠OAC＝60°，然后判断△OAB为等边三角形得到OA＝AB＝3；（2）把△ACB绕点A顺时针旋转120°得到△ABQ，如图2，则AQ＝AP，BQ＝PC，∠ABQ ＝∠C，∠QAP＝120°，再判断点P、B、Q共线，作AH⊥PQ于H，如图2，则QH＝PH，利用余弦的定义得到PH＝PA，从而得到PB+PC＝PA．【解答】解：（1）连接OA、OB、OC，如图1，∵AB＝AC，OA＝OB＝OC，∴△OAB≌△OAC（SSS），∴∠OAB＝∠OAC，而∠BAC＝120°，∴∠OAB＝∠OAC＝60°，∴△OAB为等边三角形，∴OA＝AB＝3，即⊙O的半径为3；（2）PB+PC＝PA．理由如下：∵AB＝AC，∠BAC＝120°∴把△ACB绕点A顺时针旋转120°得到△ABQ，如图2，∴AQ＝AP，BQ＝PC，∠ABQ＝∠C，∠QAP＝120°，∵∠ABP+∠C＝180°，∴∠ABP+∠ABQ＝180°，∴点P、B、Q共线，作AH⊥PQ于H，如图2，则QH＝PH，∵∠APH＝（180°﹣120°）＝30°，∴cos∠APH＝＝，∴PH＝PA，∴PQ＝2PH＝PA，∴PB+PC＝PA．25．已知二次函数y＝ax2+bx+c的图象经过点A（1，0）．（1）当b＝2，c＝﹣3时，求二次函数的解析式及二次函数最小值；（2）二次函数的图象经过点B（m，e），C（3﹣m，e）且对任意实数x，函数值y都不小于﹣．①求此时二次函数的解析式；②若次函数与y轴交于点D，在对称轴上存在一点P，使得PA+PD有最小值，求点P坐标及PA+PD的最小值．【分析】（1）利用待定系数法以及配方法即可解决问题．（2）①首先求出b、c（用a表示），想办法列出不等式即可解决问题．②根据解析式求得对称轴，然后根据对称性求得A的对称点的坐标，连接A′D交抛物线的对称轴与点P．此时PA+PD＝A′D，则PA+PD最小．【解答】解：（1）将b＝2，c＝﹣3代入得：y＝ax2+2x﹣3．将点A（1，0）代入，a+2﹣3＝0，∴a＝1．∴y＝x2+2x﹣3，∵y＝（x+1）2﹣4，∴当x＝﹣1时，y最小值为﹣4．（2）①由题意可知：对称轴x＝＝．∴﹣＝，∴b＝﹣3a，又∵a+b+c＝0，∴c＝2a，∴y＝ax2﹣3ax+2a顶点纵坐标为＝＝，∵函数值y不小于﹣∴a＞0，且﹣≥﹣，∴a2﹣2a+1≤0，∴（a﹣1）2≤0，∵（a﹣1）2≥0，∴a﹣1＝0，∴a＝1．∴抛物线的解析式为y＝x2﹣3x+2；②如图所示：求得A关于对称轴的对称点A′的坐标，连接A′D交抛物线的对称轴与点P．此时PA+PD＝A′D，则PA+PD最小，∵y＝x2﹣3x+2＝（x﹣）2﹣，∴对称轴为直线x＝，∴A关于对称轴的对称点A′（2，0），由y＝x2﹣3x+2可知D（0，2），设直线A′D的解析式为y＝kx+n，∴解得∴直线A′D的解析式为y＝﹣x+2，把x＝代入得，y＝，∴P（，），∵AD＝＝＝2，∴PA+PD的最小值为2．感谢您的使用。
人教版九年级英语全册 Unit1-3 单元练习题(有答案)
人教版九年级英语全册 Unit1-3 单元练习题(有答案)九年级units1--3测试卷一、单项选择题(共30题,共30分)1.He suggested ________ home.A goingB wentC goes2.I always go to school ______.A in timeB on timeC in a time3.Teacher always warns the school kids _______ with strangers.A not to talkB not talkC no talking4.—Open the window please, Mike.—______? I didn’t hear what you said.A WhatB PardonC Really5.—_______ nice dress it is!—Thank you!A What aB WhatC How6.—I wonder ______ we should go, Tom?—How about the Water City Restaurant?A whatB whichC where7.I think this book is interesting. I feel ______.A excitedB excitingC excites8.They met many different people ______ their way ______ the bank?A in; ofB on; toC with; for9.Please ______ at six in the morning.A wake up himB wake him upC woke him10.Are you looking forward ______ at the concert?A to see himB to seeing himC see him11.He is ______. Tell him not______.A in a rush; rushB in rush; to rushC in a rush; to rush12.The Internet is very useful. We can get a lot of ________ from it.A thingB messageC informationsD information13.—I think this book is ______.—Yes, it’s just 5 yuan.A interestingB fascinatingC inexpensive14.Can you tell me how to ______ the post office?A get toB arrive atC get in15.I wonder _______ what he said is right.A ifB thatC whatD /16.—Can you tell me where we should go?—_________ the Science Museum?A Yes, I canB How isC How aboutD Shall we17.I’m not sure whether I can hold a party in the open air, because it ______ the weather.A stands forB depends onC lives onD agrees with18.What a nice day! We should go sightseeing ______ watching TV in the hotel.A because ofB instead ofC together withD out of19.Her son ______ coke, but now he ______ milk.A is used to drinking; used to drinkB used to drinking; drinksC used to drink; is used to drinking20.—How do people celebrate Halloween?—They ______ like a ghost.A put upB dress upC turn up21.—What do you _____ Spring festival?—It’s a funny day.A think ofB care ofC feel of22.The doctor warns my father not ________.A to drinkB drinksC drinking23.His cat has ________ for five weeks.A diedB been deadC dying24.Do you know the true _______ of Christmas?A meanB meansC spiritsD spirit25.I don’t like spiders. I think they are _______.A scaryB tiredC boredD friendly26.Our class meeting ended up ______.A singB singingC to singD sang27.The New Year is _________cleaning and washing away bad things.A a time toB a time aboutC a time for28.—Tim got up late today.—______, he missed the first bus.A As a result ofB As a resultC As a result that29.There are two people in the room. ______ is Tom, and ______ is Lucy.A it; the otherB one; the otherC one; the others30.Have you decided when ________ for London?A will you leaveB you will leaveC are you goingD you are going二、完形填空(共10题,共10分)The Dragon Boat Festival is celebrated31 the fifth day of the fifth lunar month by32zongzi and holding dragon boat races.The festival began during the period of Warring States (战国时期), and has a33of morethan 2,000 years. The date of the festival is said to be the date when Qu Yuan34 . He was a wiseand upright (正直的)man, and was loved by people. He wanted the emperor of Chu35 againstthe State of Qin with the cooperation (联合) with the State of Qi, but was refused and sent to theborder area. During his stay in other states, he wrote36poems(诗) expressing his strongfeelings for Chu. On the day when Chu was defeated by Qin, Qu Yuan jumped into Miluo Riverexpressing his strong love for his native land by taking his own life.After the37of Qu Yuan, people of Chu went to Miluo River to mourn (哀悼) over the great38they loved so much. Some threw eggs and rice wrapped in leaves into the river to feed thefish39keep them away from Qu Yuan.Now the Dragon Boat Festival has become a40festival for the Chinese people.31.A atB onC inD by32.A eatingB to eatC ateD was eating33.A vacation B historyC dateD day34.A diedB bornC boreD dead35.A fighterB fighting C fightD to fight36.A muchB a lotC manyD lots37.A dieB dyingC deadD death38.A emperorB doctorC poetD teacher39.A in order toB so thatC in order thatD as a result40A modernB traditionalC internationalD fashionable三、阅读理解(共30分)A (★★☆☆☆)Some Festivals Around the WorldThe Holi FestivalThe Holi Festival takes place in March every year in India. Part of the celebration is thelighting of bonfires（篝火）, during the day before the start of the festival and people wouldthen throw colored powder（粉末）and water at one another.Saint Patrick’s DaySaint Patrick’s Day is on March 17th. It’s an importantholiday in Ireland. This holiday is toremember Saint Patrick who did good things for the people of Ireland.During the holiday, there are parades（游行）and lots of green. You can see people in greenclothes, and you can even see green buildings.The OktoberfestGermany takes pride in its beer drinking as a form of art. This widely-known beer festival iscelebrated every year in September and can last for over two weeks. Groups of people wouldmove towards the large beer tents through the streets of Munich. They can be treated with allkinds of German beer.The Quebec Winter CarnivalQuebec is an old city in Canada. Many people agree that winter is the best time to visit it.When winter comes, it’s party time in Quebec. The Quebec Winter Carnival is all aboutoutdoor fun. It starts from the first Sunday in February and lasts for ten days. One of the mostexciting events is the dog-sledding race. It has morethan 20 teams and the race runs throughsix kilometers of the city’s streets.（）41. What do people do at the Holi Festival?A They drink beer.B They treat guests.C They watch the dog-sledding race.D They throw colored powder and water.（）42. What can you see on Saint Patrick’s Day?A Parades.B Dogs.C Bonfires.D Tents（）43. Where is the Oktoberfest celebrated?A In ChinaB in GermanyC In EnglandD In Ireland.（）44. What can we know about the dog-sledding race according to the passage?A The race takes place on March 17th.B The race runs through six kilometers.C The race takes place in India every yearD Over 20 persons take part in the race every year.（）45. Which of the following is NOT true according to the passage?A The Holi Festival is an Indian festival.B Saint Patrick’s Day is celebrated in March.C The Oktoberfest lasts only for two days.D It is best to visit Quebec in winter.B(★★☆☆☆)Can you swim? Do you like swimming? Well, how can you learn to swim? I think the best way isto go into the water and learn, I’m afraid you’ll neverlearn to swim just by reading books aboutswimming or looking at others swimming.It’s the same with English study. We must practice, practice and practice.Listening and speaking are very important for beginners. We can listen to English programs on theradio. You may just understand a few words. It doesn’t matter. Just be relaxed, and try to catchevery word.Somebody may be a good listener, but he is afraid to speak because he is afraid of makingmistakes. You know we sometimes make mistakes when we peakChinese. Don’t be afraid. Wemust be brave. If you really want to learn English well, you must try to speak with everyone aslong as he knows English.When there’s nobody to talk with, you can talk to yourself in English. It’s interesting and also agood way to practice your spoken English. Remember, the more you speak, the fewer mistakesyou’ll make.Reading and writing are more important for senior（年级较高的）school students. First we mustchoose the books we’re interested in. A lot of reading will improve your language sense. This isvery important.It’s easier said than done. Well, let’s do more practice from now on. I’m sure you’ll learn Englishwell in this way.根据材料内容选择最佳答案。
2015-2016学年(上)松柏中学九年级 Unit1练习卷
松柏中学练习卷Unit1 How can we became good learners?(二) 基础知识与运用（每小题1.5分，共30分）V. 选择填空：从A、B、C中，选出一个最佳答案完成句子。
17. — How will you improve your English pronunciation?— ________ watching English movies.A. WithB. ByC. Under18. The ________ on her face shows that she is very nervous.A. expressionB. smileC. surprise19. Li Lin is very ________. He likes answering questions in class.A. funnyB. activeC. shy20. —Annie has improved a lot in English since she joined the English club.—Yes, you’re right. How ________ she chose to be in that club!A. wiselyB. clearlyC. hardly21. I’m a very slow reader. Can you tell me how to ________ my reading speed?A. cutB. returnC. increase22. The writer has _________ lots of characters during the past years.A. createdB. reportedC. offered23. — What are you going to do this evening, Jane?—I’m going to ________ my lesson to get a good result in tomorrow’s test.A. repeatB. reviewC. stop24. You can’t improve your spoken English ________ you practice it every day.A. unlessB. butC. since25. — What are you doing there, Henry?—I’m ________ the time of the next train in the timetable(时间表).A. looking afterB. looking upC. giving up26. Tom was so careless that he didn’t ________ the sign when he passed by.A. take care ofB. look forward toC. pay attention to27. — My spoken English is poor. What should I do?— _______ finding a native speaker to talk with?A. What aboutB. What ifC. Why don’t28. —I find that learning a language isn’t easy.— I think so. You should be patient. _______.A. It doesn’t matterB. It serves you rightC. It takes timeVI. 完形填空：从A、B、C中，选择一个最佳答案，使短文意思完整。
2015-2016学年(上)松柏中学九年级Unit2练习卷
2015-2016学年（上）松柏中学九年级unit2练习卷(二) 基础知识与运用（每小题1.5分，共30分）V. 选择填空：从A、B、C中，选出一个最佳答案完成句子。
17. — Do you know the boy who is talking to Jane over there?— No, he is completely a ________ to me.A. studentB. strangerC. relative18. Linda still misses her grandpa although he has been ________ for years.A. diedB. deathC. dead19. Jack was very excited because he received lots of ________ on his birthday.A. presentsB. storiesC. candles20. Every time she went shopping, she ended up ________ something she didn’t need.A. buyB. boughtC. buying21. — I have ________ three pounds during the past two months. What should I do?—You’d better eat less and do more exercise.A. washed awayB. set upC. put on22. The doctor warns me ________ more vegetables if I want to keep healthy.A. to eatB. to eatingC. eat23. — It seems that you are worried.— I am wondering ________ they can be here on time today.A. whenB. whetherC. where24. He celebrates two festivals with his family every year. One is the Spring Festival, and ________ ,the Mid-Autumn Festival.A. otherB. othersC. the other25. — ________ do you like best about the Lantern Festival?— I like the lanterns. I think they are fun ________.A. What; to watchB. What; watchingC. How; to watch26. — ________ lovely day it is today!—Yes. Let’s go out and enjoy the sunshine.A. How aB. What aC. How27. — Could you tell me ________?— Usually at the Dragon Boat Festival.A. when do Chinese people eat ZongziB. Why do Chinese people eat ZongziC. when Chinese people eat zongzi28. — I am going to the USA to spend my holidays next month.— ________.A. Sounds like funB. No, not at allC. Don’t w aste timeVI. 完形填空：从A、B、C中，选择一个最佳答案，使短文意思完整。
福建省厦门市松柏中学2015初中学业水平模拟考试物理试题(一)(无答案)
物理模拟题（一）第 1 页 共 8 页2015初中学业水平模拟考试物 理 试 题（一）第I 卷（选择题 共28分） 一、单项选择题(本大题包括8小题，每小题2分，共16分。
在每小题给出的四个选项中，只有一项符合题目的要求） 1．关于声现象的理解，下列说法正确的是 A.使用手机时，调节音量旋钮是为了改变声音的音调 B.“女高音”歌唱时比“男高音”响度大 C.钢琴发声是由于琴弦振动产生的 D.声音在空气中的传播速度为3×108 m/s 2．公共汽车上涉及到许多物理知识，其中分析正确的是 A.汽车座椅做成凹形——用来增大压强 B.使用的IC 收费卡——利用了超声波原理C.后门上方安装的摄像头——利用凸透镜成倒立放大的实像D.车窗打开时，遮阳的窗帘总是往外飘——窗外空气流速大，压强小3．—个球，先后在盛有不同液体的容器A、B、C 和D 中保持静止，情况如图所示。
班级 姓名 考号 注意事项： 1．本试卷分第Ⅰ卷和第Ⅱ卷两部分。
答卷前，考生务必用0.5毫米黑色签字笔将自己的姓名、座号、准考证号等填写在答题卡规定的位置上。
考试结束后，将本试卷和答题卡一并交回。
2．第Ⅰ卷每小题选出答案后，用2B 铅笔把答题卡上对应题号的答案标号涂黑。
如需改动，用橡皮擦干净后，再选涂其他答案标号。
不涂在答题卡上，答在试卷上无效。
3．第Ⅱ卷必须用0.5毫米黑色签字笔作答，答案须写在答题卡各题目指定的区域内，在试卷上答题不得分；如需改动，先划掉原来的答案，然后再写上新的答案。
时间： 满分60分物理模拟题（一）第 2 页 共 8 页四个容器中的液面到容器底面的距离相同，容器底面受到的液体压强最大的是4．如图是某物质加热时温度随时间变化的图像。
下列对图像的分析正确的是A．T 2一定是物质的熔点 B．T 2一定是物质的沸点C．0～t 1时间内物质的分子热运动加剧 D．t 1～t 2时间内物质的温度不变,内能不变5．如图所示的电路，电源电压不变，闭合开关s，当滑动变阻器的滑片P 向右滑动时，下说法错误的是A.电压表的示数变小B.电流表的示数变小C.小灯泡的实际功率变大D.小灯泡的亮度变暗6．如图是某家庭电路的一部分，下列说法正确的是A.电冰箱接入三孔插座后，电灯与电冰箱是串联B.电冰箱接入三孔插座能使电冰箱金属外壳接地物理模拟题（一）第 3 页 共 8 页C.若在图中甲、乙两处分别装电灯或开关，甲处应装电灯，乙处应装开关D.断开开关S 时，站在地上的人接触A 点或B 点都不会触电7．如图所示，先闭合开关S 2，再闭合开关S 1，则电磁铁的磁性将A. 不变B. 减弱C. 增强D. 无法判断8．如图所示，R 1=5Ω，R 2=10Ω，则电压表v 1，v 2示数之比是A．1：2 B．2：1 C．1：3 D．3：1二、多项选择题(本大题包括4小题，每小题3分，共12分。
福建省厦门市松柏中学2015初中学业水平模拟考试英语试题(一)(无答案)
英语模拟题（一）第 1 页 共 17 页2015初中学业水平模拟考试 英 语 试 题（一）第I 卷 （选择题 共75分） 一、听力测试 （共20小题，计20分） （一）录音中有五个句子，每个句子听一遍，然后从每小题A、B、C 中选出适合每个句子的答语。
1. A. She likes sports. B. She is tall and thin. C. She is looking at a picture. 2. A. By bus. B. With Jack. C. At seven. 3. A. Good idea. B. Thank you. C. To the beach. 4. A. Game shows. B. I think so. C. Quiet music. 5. A. Last Sunday. B. Some vegetables. C. Once a week.（二）录音中有五组对话，听对话两遍后，从每小题A、B、C 中选出能回答所给问题的正确答案。
6. When will the film begin?班级 姓名 考号 注意事项： 1．本试卷分第Ⅰ卷和第Ⅱ卷两部分。
答卷前，考生务必用0.5毫米黑色签字笔将自己的姓名、座号、准考证号等填写在答题卡规定的位置上。
考试结束后，将本试卷和答题卡一并交回。
2．第Ⅰ卷每小题选出答案后，用2B 铅笔把答题卡上对应题号的答案标号涂黑。
如需改动，用橡皮擦干净后，再选涂其他答案标号。
不涂在答题卡上，答在试卷上无效。
3．第Ⅱ卷必须用0.5毫米黑色签字笔作答，答案须写在答题卡各题目指定的区域内，在试卷上答题不得分；如需改动，先划掉原来的答案，然后再写上新的答案。
A. At 8:00.B. At 8:15.C. At 7:45.7. What will the weather be like in Shanghai tomorrow?A. Sunny.B. Windy.C. Rainy.8. Where does the woman want to go?A. Supermarket.B. Fifth Street.C. Station.9. Where does the man come from?A. America.B. England.C. Australia.10. How did the boy go to school this morning?A. By bike.B. On foot.C. By bus.（三）录音中有一段对话，听对话两遍后，从每小题A、B、C中选出能回答所给问题的正确答案。
九年级英语人教版上册+全单元测试卷++月考试卷一(Units+1～3)
月考试卷一(Units 1～3)Ⅰ.听句子，选出该句的最佳应答语。
(每小题1分，共5分)听力材料：1.How do you study English?2．Has he asked Mr.Black for help?3．What did you do on the Dragon Boat Festival?4．Who do you celebrate the festival with?5．Why not make zongzi at home by ourselves?( B )1.A.Very well.B．By listening to tapes.C．In English class.( A )2.A.Yes，he has. B．No，he doesn't. C．Yes，he is.( A )3.A.I went boating. B．I was your partner. C．I admired the star.( B )4.A.On the square. B．My family. C．Yesterday evening.( C )5.A.I think so. B．I don't know. C．Good idea.Ⅱ.听对话，选择最佳答案。
(每小题1分，共5分)听力材料：6.M：Cindy，which is more difficult，grammar or pronunciation?W：Oh，I usually make mistakes in listening.7．M：I went to Singapore this Spring Festival and Lin Tao visited Macao.What about you，Lily?W：I traveled to Thailand.8．M：I am going to Australia in July.W：To Australia？I believe that July is the coldest month of the year there.9．W：Bob，I think the amusement park is small but uncrowded.M：But it's not clean.I don't want to go there again.10．W：I wonder if the bookstore closes at 5：00 p．m.M：On weekdays it does，but it closes two hours later on weekends.( C )6.What is probably the most difficult for Cindy?A．Grammar. B．Pronunciation. C．Listening.( B )7.Where did Lin Tao go during the Spring Festival?A．To Singapore. B．To Macao. C．To Thailand.( B )8.When is the man going to Australia?A．In January. B．In July. C．In October.( B )9.Why doesn't Bob want to go to the amusement park again?A．Because it's small. B．Because it's dirty. C．Because it's crowded.( C )10.What time does the bookstore close on Sundays?A．At 3：00 p．m. B．At 5：00 p．m. C．At 7：00 p．m.Ⅲ.听长对话，选择最佳答案。
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松柏中学2015-2016学年初三（上）第一次月考英语试卷九年级Units 1-3（二）基础知识与运用（每小题1.5分，共30分）V. 选择填空：从A、B、C中，选出一个最佳答案完成句子。
17. —I find that learning a language isn’t easy.—I think so. You should be patient. ________.A. It doesn’t matterB. It serves you rightC. It takes time18. He celebrates two festival with his family every year. One is the Spring Festival, and ________, the Mid-Autumn Festival.A. otherB. othersC. the other19. We should often practice ________ English with each other.A. speakingB. spokeC. speak20. I think this movie is ________ interesting. Why not go to another cinema?A. moreB. lessC. fewer21. —How will you improve your English pronunciation?—________ watching English movie.A. WithB. ByC. Under22. —________ lovely day it is today!—Yes. Let’s go out and enjoy the sunshine!A. How aB. What aC. How23. You can’t improve your spoken English ________ to practice it every day.A. unlessB. butC. since24. —Have you asked the policeman ________?—Yes, he told us to turn left onto Main street. It’s on the right.A. where can we find a bankB. when we can get to the nearest bank实用文档 1C. how to get to the nearest bank25. We live near a big supermarket, so it’s very ________ for us to do some shopping.A. noisyB. boringC. convenient26. Jimmy ________ in Shanghai for seven years. Now he lives abroad with his father.A. studiesB. studiedC. has studied27. —It seems that you are worried.—I am wondering ________ they can be here on time today.A. whenB. whetherC. where28. —Let’s go to Water World for a trip tomorrow, OK?—________. Where did you suggest going?A. Pardon me?B. I don’t knowC. I agree with youⅥ.完形填空:从A、B、C中选择一个最佳答案, 使短文意思完整.The first note I ever wrote for my mother said “Hi, Mom! Have a nice day! Love, Marie!” I was twelve when I wrote it, and I folded the 29 into her change purse (零钱包).My mother worked as a cleaner in a clothing factory. I knew that when she 30 meals in the dining hall, she would have to look for change in her purse. I didn’t know that she would keep that note, and always carry it with her.From the day that I 31 folded the small piece of paper into my mother’s change purse, she and I left each other 32 notes. They would be put in the fridge, under a lamp, or beside the TV set. I even found one hidden in my shoe. From the outside, our notes may have been general records of our days, ideas and wishes. But to my mother and 33 , they were a lifeline — a communication with each other that no one else shared.On October 20, 2009, my mother died after a long illness. I stood near her bed, holding her hand. I didn’t cry the day my mom died, 34 I didn’t cry a week later when I went to collect her things. I was so thankful that she no longer had aches and pains.Recently, I 35 a note that my mom had left me. It had been hidden in the pages of my favorite childhood book for years. It read “Dear Marie, I love you always. Miss you a lot. Don’t forget me. Be 36 ! Love, Mom.” That day, I cried.29. A. note B. book C. diary30. A. prepared B. bought C. cooked31. A. carefully B. wisely C. quickly32. A. funny B. beautiful C. secret33. A. her B. me C. us34. A. and B. but C. because实用文档 235. A. found B. invented C. looked for36. A. patient B. strict C. happy（三）阅读理解（每小题2分，共50分）VII.阅读以下五篇短文，根据文章内容选择最佳答案作答37-61小题。
ANews ReviewAPEC Blue People in Beijing got the saying after the APEC meeting in Beijing. It refers to (指) the clear blue sky during the meeting. To get such a blue sky, many factories in Beijing and nearby cities stopped work, and the number of cars on the road was cut.A Warning Ticket A 24-year-old woman in Nanjing was given a warning ticket for eating food on the subway. Eating is not allowed on Nanjing subway. Up to now, 2,698 people have been punished (惩罚) because of their eating, smoking or selling goods on the subway.A Teacher-free Exam Recently, students at Ningbo Huamao Foreign Language School in Zhejiang took their mid-term exam — a teacher-free exam. After handing out the exam papers, the teachers left the classroom, leaving the students to take the exam without being watched. They only came back to collect the papers at the end.A Tomato Fight Do you want a tomato shower? Come to the “tomato fight” in Spain! Once every year, people in the town of Bunol throw tomatoes at each other. Don’t worry. It’s not a real fight. People do this only for fun.37. APEC Blue refers to ________ in Beijing during the APEC meeting.A. the factoriesB. the clear blue skyC. the cars on the road38. A 24-year-old woman in Nanjing was given a warning ticket for ________ on the subway.A. drinkingB. smokingC. eating food39. In a teacher-free exam, students take their exam ________.A. without being watchedB. at the end of the termC. without giving answers40. In the town of Bunol, Spain, people throw tomatoes at each other ________.A. to have funB. to enjoy dinnerC. to start a fight41. You may probably read the passage above in ________.A. a science reportB. a short novelC. a newspaperBOur new foreign colleagues (同事) are going to arrive very soon, and here are some tips to communicate with them politely.How close do you stand when you talk to a friend? You can stand close to people in the Middle East but don’t stand too close to North Americans! Give them more personal space.Do you know How to touch people correctly? Chinese girls often walk arm in arm with their friends. South Americans sometimes hold your arm when they talk to you, so you can’t move away! But in Britain many people don’t like other people实用文档 3。