2020-2021学年最新江苏省南京市联合体中考数学二模试卷及答案
中考数学二模试卷
一、选择题(本大题共6小题,共12.0分)
1. 2的平方根是(
)
A.
±√2 B. √23 C. √2 D. −√2
【答案】A
【解析】解:2的平方根是:±√2.
故选:A.
根据平方根的定义解答.
本题考查了平方根的应用,注意:一个正数有两个平方根,这两个平方根互为相反数.
2. 下列计算正确的是( )
A. a3+a2=a5 B. a3−a2=aC. a3⋅a2=a6D. a3÷a2=a
【答案】D
【解析】解:A、a2与a3不是同类项,不能合并,故本选项错误;
B、a3与a2不是同类项,不能合并,故本选项错误;
C、应为a3⋅a2=a5,故本选项错误;
D、a3÷a2=a,正确.
故选:D.
根据同类项定义;同底数幂相乘,底数不变指数相加;同底数幂相除,底数不变指数相减,对各选项分析判断后利用排除法求解.
本题主要考查同底数幂的乘法,同底数幂的除法,熟练掌握运算性质是解题的关键,不是同类项的一定不能合并.
3. 如图,将菱形ABCD沿BD方向平移得到菱形EFGH,若FD:BF=1:3,菱形ABCD与菱形EFGH的重叠部分面积记为S1,菱形ABCD的面积记为S2,则S1:S2的值为( )
A. 1:3
B. 1:4
C. 1:9
D. 1:16
【答案】D
【解析】解:如图设AD交EF于M,CD交FG于N.
由题意,重叠部分四边形MDNF是菱形,
菱形MFND∽菱形ABCD,
∴S1S2=(DFBD)2,
∵DF:BF=1:3, ∴DF:BD=1:4,
∴S1S2=(DFBD)2=116,
故选:D.
利用相似多边形的性质即可解决问题;
本题考查菱形的性质、相似多边形的性质等知识,解题的关键是熟练掌握基本知识,属于中考常考题型.
4. 如图,已知BA是⊙O的切线,切点为A,连接OB交⊙O于点C,若∠B=45∘,AB长为2,则BC的长度为( )
A. 2√2−1 B. √2 C. 2√2−2 D.
2−√2
【答案】C
【解析】解:连接OA,
∵BA是⊙O的切线,切点为A,
∴∠OAB=90∘,
∵∠B=45∘,
∴△OAB是等腰直角三角形,
∵AB长为2,
∴AO=2,
则BO=2√2,
故BC=2√2−2,
故选:C.
利用切线的性质结合等腰直角三角形的性质得出BO的长,进而得出答案.
此题主要考查了切线的性质以及勾股定理,正确得出△OAB是等腰直角三角形是解题关键.
5. 已知反比例函数y=k2x(k≠0)过点A(a,y1),B(a+1,y2),若y2>y1,则a的取值范围为( )
A. −1
【答案】B
【解析】解:∵反比例函数y=k2x(k≠0)中的k2>0,
∴反比例函数y=k2x(k≠0)的图象经过第一、三象限,且在每一象限内y随x的增大而减小.
∵y2>y1,a+1>a,
∴点A位于第三象限,点B位于第一象限,
∴{a+1>0a<0,
解得−1
故选:B.
根据反比例函数图象所经过的象限和函数的增减性解答.
考查了反比例函数图象上点的坐标特征,解题时,需要熟悉反比例函数解析式中系数与图象的关系.
6. 在二次函数y=−x2+bx+c中,函数y与自变量x的部分对应值如下表:
x −3 −2 −1 1 2 3 4 5 6
y −14 −7 −2 2 m n −7 −14 −23
则m、n的大小关系为( )
A. m>n B. m
【答案】A 【解析】解:∵x=−2时,y=−7,x=4时,y=−7,
∴抛物线对称轴为直线x=−2+42=1,即(1,2)为抛物线的顶点,
∴2为抛物线的最大值,即抛物线开口向下,
∴当x>1时,抛物线为减函数,x<1时,抛物线为增函数,
∴(2,m)与(3,n)在抛物线对称轴右侧,且2<3,
则m>n.
故选:A.
由表格中x=−2与x=4时,对应的函数y都为−7,确定出(1,2)为二次函数的顶点坐标,即x=1为抛物线的对称轴,且抛物线开口向下,进而由抛物线的增减性,即可判断出m与n的大小.
此题考查了二次函数图象上点的坐标特征,以及二次函数的图象与性质,其中根据表格的抛物线的对称轴及开口方向是解本题的关键.
二、填空题(本大题共10小题,共20.0分)
7. 计算(√2)0=______,2−1=______.
【答案】1;12
【解析】解:原式=1,原式=12,
故答案为:1;12
原式利用零指数幂、负整数指数幂法则计算即可求出值.
此题考查了实数的运算,熟练掌握运算法则是解本题的关键.
8. 计算√2𝑥⋅√8𝑥𝑦(𝑥≥0,𝑦≥0)的结果是______.
【答案】4𝑥√𝑦
【解析】解:√2𝑥⋅√8𝑥𝑦(𝑥≥0,𝑦≥0)
=√16𝑥2𝑦
=4𝑥√𝑦.
故答案为:4𝑥√𝑦.
直接利用二次根式的性质化简得出答案.
此题主要考查了二次根式的性质,正确化简二次根式是解题关键.
9. 分解因式𝑎3−𝑎的结果是______.
【答案】𝑎(𝑎+1)(𝑎−1)
【解析】解:𝑎3−𝑎=𝑎(𝑎2−1)=𝑎(𝑎+1)(𝑎−1).
故答案为:𝑎(𝑎+1)(𝑎−1).
先提取公因式a,再对余下的多项式利用平方差公式继续分解.
本题考查了用提公因式法和公式法进行因式分解,一个多项式有公因式首先提取公因式,然后再用其他方法进行因式分解,同时因式分解要彻底,直到不能分解为止.
10. 甲、乙、丙三名射击运动员在某场测试中各射击10次,三人的测试成绩如下:
甲 7 7 8 8 8 9 9 9 10 10
乙 7 7 7 8 8 9 9 10 10 10
丙 7 8 8 8 8 9 9 9 9 10
这三人10次射击命中的环数的平均数𝑥甲=𝑥乙=𝑥丙=8.5,则测试成绩比较稳定的是______,(填“甲”或“乙”或“丙”)
【答案】丙
【解析】解:∵𝑥甲=𝑥乙=𝑥丙=8.5,
∴𝑆甲2=110×[2×(7−8.5)2+3×(8−8.5)2+3×(9−8.5)2+2×(10−8.5)2]=1.05, 𝑆乙2=110×[3×(7−8.5)2+2×(8−8.5)2+2×(9−8.5)2+3×(10−8.5)2]=1.45,
𝑆丙2=110×[(7−8.5)2+4×(8−8.5)2+4×(9−8.5)2+(10−8.5)2]=0.65,
∵𝑆丙2<𝑆甲2<𝑆乙2,
∴测试成绩比较稳定的是丙,
故答案为:丙.
根据方差就是各变量值与其均值离差平方的平均数,根据方差公式计算即可,再利用方差的意义解答即可得出答案.
此题主要考查了方差公式的应用,方差是各变量值与其均值离差平方的平均数,它是测算数值型数据离散程度的最重要的方法.
11. 如图,已知直线𝑎//𝑏,∠1=72∘,∠2=38∘,则∠3=______ ∘.
【答案】70
【解析】解:∵𝑎//𝑏,
∴∠2=∠4=38∘,
又∵∠1=72∘,
∴∠3=180∘−38∘−72∘=70∘,
故答案为:70.
依据𝑎//𝑏,即可得到∠2=∠4=38∘,再根据∠1=72∘,即可得到∠3的度数.
本题考查了平行线的性质和平角的定义,熟练掌握性质定理是解题的关键.
12. 如图,正方形ABCD的顶点B、C都在直角坐标系的x轴上,AC与BD交于点E,若点D的坐标是(3,4),则点E的坐标是______.
【答案】(1,2)
【解析】解:过点E作𝐸𝐹⊥𝑥轴于点F,
∵𝐷的坐标是(3,4),B、C在x轴上,
∴𝐷𝐶=4,𝑂𝐶=3,
∵四边形ABCD是正方形,
∴𝐵𝐶=𝐶𝐷=4,
∴𝑂𝐵=4−3=1,
∵𝐵在x轴的负半轴上,
∴𝐵(−1,0),
∵𝐸为BD中点,𝐸𝐹⊥𝐵𝐶,
∴𝐵𝐹=𝐹𝐶=2,
∴𝐹𝑂=1,𝐸𝐹=12𝐷𝐶=2,
∴𝐸(1,2).
故答案为:(1,2).
根据D的坐标和C的位置求出𝐷𝐶=4,𝑂𝐶=3,根据正方形性质求出OB,即可求出答案. 本题考查了正方形的性质和坐标与图形性质,解此题的关键是求出DC、OC、OB的长度,题目比较好,难度不大.
13. 已知关于x的一元二次方程𝑥2+𝑚𝑥+𝑛=0的两个根是1和−2,则mn的值是______.
【答案】−2
【解析】解:由根与系数的关系可知:1+(−2)=−m,1×(−2)=𝑛,
∴𝑚=1,𝑛=−2
∴𝑚𝑛=−2
故答案为:−2
根据根与系数的关系即可求出答案.
本题考查根与系数的关系,解题的关键是熟练运用根与系数的关系,本题属于基础题型.
14. 已知圆锥的高是3cm,母线长5cm,则圆锥的侧面积是______𝑐𝑚2.(结果保留𝜋).
【答案】20𝜋
【解析】解:∵圆锥的高是3cm,母线长5cm,
∴勾股定理得圆锥的底面半径为4cm,
∴圆锥的侧面积=𝜋×4×5=20𝜋𝑐𝑚2.
故答案为:20𝜋.
首先利用勾股定理求得圆锥的底面半径,然后利用圆锥的侧面积=𝜋×底面半径×母线长,把相应数值代入即可求解.
本题考查圆锥侧面积公式的运用,掌握公式是关键.
15. 已知⊙𝑀过原点,𝐴(1,2),𝐵(3,1)三点,则圆心M坐标为______.
【答案】(32,12)
【解析】解:过A作𝐸𝐹⊥𝑦轴于E,过B作𝐵𝐹⊥𝐸𝐹于F,
∴∠𝐴𝐸𝑂=∠𝐵𝐹𝐴=90∘,
∴∠𝐸𝐴𝑂+∠𝐴𝑂𝐸=90∘,
∵𝐴(1,2),𝐵(3,1),
∴𝑂𝐸=𝐴𝐹=2,𝐴𝐸=𝐵𝐹=1,
∴△𝐴𝐸𝑂≌△𝐵𝐹𝐴(𝑆𝐴𝑆),
∴∠𝐴𝑂𝐸=∠𝐵𝐴𝐹,
∴∠𝐸𝐴𝑂+∠𝐵𝐴𝐹=90∘,
∴∠𝑂𝐴𝐵=90∘,
∴△𝑂𝐴𝐵是直角三角形,
∴𝑂𝐵是△𝑂𝐴𝐵外接圆的直径,
∴𝑀是OB的中点,
∵𝑂(0,0),𝐵(3,1),
∴𝑀(32,12);
故答案为:(32,12).
先根据三角形全等证明△𝑂𝐴𝐵是直角三角形,根据圆周角定理∠𝐴𝑂𝐵=90∘得OB为⊙𝑀的直径,则可得到线段OB的中点即点M的坐标.
本题考查了圆周角定理及其推论、全等三角形的判定和性质,熟练掌握90∘的圆周角所对的弦是直径是关键.
16. 如图,在直角坐标系中,△𝐴𝑂𝐵为直角三角形,∠𝐴𝑂𝐵=90∘,∠𝑂𝐴𝐵=30∘,点A坐标为(3,1),AB与x轴交于点C,则AC:BC的值为______.
南京市联合体2020-2021学年第一学期期末试卷七年级英语(含答案)
1 南京市联合体2020-2021学年第一学期期末试卷
七年级英语
二、单项填空
( ) 16. --- When will you have the party for New Year?
--- the evening of December 31st.
A.In B. At C. On D. Of ( ) 17. --- What do you think of the twin sisters?
--- of them are lovely and I like to make friends with them.
A.All B. Each C. EveryD.Both () 18. --- What does Daniel like doing in his free time?
--- I don’t know because wetalk about it when we meet.
A.neverB.oftenC.alwaysD.sometimes ( ) 19. --- A few students don’t seem
these days because of the flu(流感).
--- I’m sorry to hear that.
A.well B. kind C. bad D. badly () 20. --- What outdoor activity would you like to try?
--- I want to go and I can play with my dog.
A.swimming B. skatingC.boatingD.walking
( ) 21. My little dog likes eating and when he wakes up in the morning, he his food
everywhere.
A.looks afterB.looks forC.looks outD.looks like ( ) 22. --- do you eat fruit
江苏省南京市2020-2021学年上学期八年级英语期中试卷分类汇编:词汇运用
1 江苏省南京市
2020-2021年上学期八年级英语期中试卷分类汇编
词汇运用
江苏省南京市秦淮区2020-2021学年八年级上学期英语期中试卷
五、填空(共 15 小题;每小题 1 分,满分 15 分)
A)根据括号中所给的汉语写出单词,使句子意思完整正确。
56. To give perfect __________(每日的) reports, the girl practises in front of the mirror every day.
57. Two young men are sitting at a ________ (正方形的) table, drinking coffee and chatting.
58. The farmer near the town raises _________(少) sheep than the one in the village.
59. I bought an ____________(橡皮) for my cousin yesterday.
60. This kind of food made Jessie feel even ____________(口渴).
B)根据句子意思,用括号中所给单词的适当形式填空。
61. Suzy has a pair of ________ (smile) eyes, she always looks happy.
62. There is a _________(week) test on each subject in our school.
63. Ye Shiwen is one of the best __________ (swim) in the world.
64. I am _________ (happy) these days because have some problems with my new lessons.
2020-2021南京联合体初三英语一模试卷(含答案和部分解析)
2020-2021 南京联合体初三英语一模试卷一、单项填空(共 15 小题;每小题 1 分,满分 15 分)
从 A、B、C 和 D 四个选项中,选出可以填入空白处的最佳选项。
1. It is believed that December 21, 1891, the first basketball game in
history was played.
A. in B. on C. at D. for
2. There still some apple juice in the fridge. You needn’t go to the
supermarket.
A. was B. were C. is D. are
3. --- Mum, our dolls’ clothes are so dirty.
--- You may wash them, but be careful to keep clean.
A. them B. your C. yours D. theirs
4. --- Excuse me. Could you tell me to get to the Sports Center?
--- Sure. Take Line 2 and get off at the Sports Center Station.
A. when B. how C. what D. where
5. Spotty is a good guard dog. Every night he
asleep. the house while his owner is
A. helps B. moves C. guards D. builds
6. Believe in yourself. Do this and no matter where you are, you will have
to fear.
2021年江苏省南京市中考语文模拟试卷分类汇编_古诗文阅读专题
古诗文阅读专题
江苏省南京市联合体2020-2021学年第二学期第一次调研测试九年级语文试卷
(一)阅读下列古诗文,完成6-10题(15分)
君子亭记
[明]王守仁
阳明子①既为何陋轩,复因轩之前营,架楹为亭,环植以竹,而名之曰“君子”。曰:
“竹有君子之道四焉:中虚而静,通而有间,有君子之德。外节而直,贯四时而柯叶无所改,
有君子之操。应蛰②而出,遇伏③而隐,雨雪晦明,无所不宜,有君子之明。清风时至,玉声
珊然,揖逊俯仰,若洙、泗④群贤之交集;风止籁静,挺然特立,不挠不屈,若端冕正笏⑤而
列于堂陛之侧,有君子之容。竹有是四者,而以‘君子’名,不愧于其名;吾亭有竹焉,而
因以竹名,名不愧于吾亭。”
(节选自《王阳明散文选译》,西南交通大学出版社2008年12月版)【注】①阳明子:即王守仁,明代哲学家,被贬至贵州龙场,自建居所,命名为何陋轩。②蛰:二十四节气之“惊蛰”。③伏:暑天。④洙、泗:二水名,流经山东曲阜,孔子与弟子习礼之地。⑤正笏:恭敬地拿着上朝的笏板。义师院丛竹
[金]郭长倩南轩移自处西坛,瘦玉亭亭十数竿。
得法未应输老柏,植根兼得近幽兰。
虽无秾艳①包春色,自许贞心老岁寒。
百草千花零落尽,请君来向此中看。【注】①秾艳:艳丽,艳美。6.小联整理了下面的表格,用以梳理《君子亭记》的内容。请你完成空缺部分。(4分)
竹子的特点君子的品行(4)▲
竹子的内部特点谦虚学习君子之德
(1)▲坚贞守节君子之操
竹子的生长特性(3)▲君子之明
(2)▲端庄自持君子之容
7.小联对下面句子不太理解,请你翻译成现代汉语。(3分)
吾亭有竹焉,而因以竹名,名不愧于吾亭。
▲
8.小联不明白《义师院丛竹》的作者是怎样来表达对竹子的赞美的,请你给他解释。(3分)
▲
(一)(15分)
6.(4分)①竹子的外形特点;②竹子在风中的仪态;③审时度势;④君子四道
7.(3分)而我的亭子种了许多竹子(1分),因为有竹而取名“君子”(1分),“君子”之
名是无愧于这个亭名的(1分)。
江苏南京市联合体2020-2021学年八年级上学期英语期中测试卷(无听力部分)
一、听力:略 2020-2021 八上联合体期中测试卷
二、单项填空(共 15 小题,每小题 1 分,满分 15 分)
从 A、B、C、D 四个选项中,选出可以填入空白处的正确选项。
( ) 16. --- What is your brother like? --- .
A. He likes watching TV B. He is a worker in a factory
C. He is very helpful and friendly D. He works on a farm
( ) 17. --- Would you like to us in playing games? --- Sure.
A. join in B. join C. take part in D. take part
( ) 18. I don’t think the boy with a pair of glasses finishes his work his cousin.
A. more careful than B. as careful as C. as more carefully as D. as carefully as
( ) 19. --- What do you like doing in your free time, Joe?
--- I love reading and I think life without books is .
A. interesting B. interested C. boring D. bored
( ) 20. When the man walked past the restaurant, he found a lady sitting the window.
A. by B. with C. next D. on
( ) 21. If we want to keep healthy, we shouldn’t eat fast food and take enough exercise.
福建省福清市高中联合体2020-2021学年高一下学期期中考试英语试题 Word版含答案
1 福清市高中联合体2020-2021学年第二学期高一年期中考试
英语试卷
(试卷满分150分,考试时间120分钟)
Ⅰ卷
第一部分 听力(共两节,满分30分)
做题时,先将答案标在试卷上。录音内容结束后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节(共5小题;每小题1.5分,满分7.5分)
听下面5段对话。每段对话后有一个小题从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。
1. Where does the conversation probably take place?
A. In a school. B. In an office. C. In a restaurant.
2. What is the woman's trouble?
A. She is late for the class.
B. She can't find the classroom.
C. She has little chance of getting into that class.
3. What will the woman see tonight?
A. A comedy. B. A match. C. A drama.
4. What is the woman worried about the boy?
A. His study. B. His work. C. His health.
5. When will the next party be held?
A. In April. B. In May. C. In August.
第二节(共15题;每小题1.5分,满分22.5分)
听下面5段对话或独白。每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。听每段对话或独白前,你将 2 有时间阅读各个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间。每段对话或独白读两遍。
江苏省南京市联合体2019-2021年(三年)八年级上学期期末考试英语试题分类汇编:填空
江苏省南京市联合体
2019-2021年(三年)八年级上学期期末考试英语试题分类汇编
填空
江苏省南京市联合体2020-2021学年八年级上学期期末考试英语试卷
五、填空 (共 30 小题,每小题 1 分,满分 30 分)
A)根据括号中所给的汉语或音标写出单词,使句子意思完整正确,并将答案填写在答题卡标号为 51-57的相应横线上。
51.When we have problems with our homework, we can________ (讨论) them with others.
52.Bears move around __________ (缓慢地) in the daytime and they sleep through the winter.
53.---Tom, can you __________ (描述) what you saw during your stay in France?
--- Of course.
54.Everyone is a member of the ____________ (社会). We are like a big family.
55.Yancheng Nature Reserve ____________ (覆盖) an area of over 4,530 square kilometers.
56.Andy felt so _________/ˈnɜːvəs/ that he couldn’t say a word in front of the whole class.
57.I shall go to bed now. I am too ____________ /sli:pi/ to watch the end of the fashion show.
B)根据句子意思,用括号中所给词适当确形式填, 并将答案填写在答题卡标号为 58-65 的相应横线上。
江苏省2020-2021学年高三上学期12月英语试卷精选汇编:语法填空专题(部分答案)
语法填空专题
江苏省南京市六校联合体2021届高三上学期12月联考试题
第二节 语篇填空(共10小题:每小题1.5分,满分15分)
阅读下面材料,在空白处填入适当的内容(1个单词)或括号内单词的正确形式。
There are now well over 1,000 colleges and universities that don’t require SAT or
ACT scores in deciding whom to admit, a number that is growing every year. 61
new study finds that scores on these tests are of little value in predicting students’
performance in college, and 62 (raise) the question: Should those tests be
required at all?
When a college considers test-optional admissions policies, the first 63 (react)
people feel is that the college will admit less 64 (qualify) students. Actually, more
students from diverse backgrounds 65 (admit) to colleges abolishing test scores
and students graduate at a higher rate. 66 , some researchers question the impact the
policies have had 67 schools. They argue that 68 the study is showing can’t
江苏省南京市联合体2019-2021年(三年)八年级上学期期末考试英语试题分类汇编:阅读理解
江苏省南京市联合体
2019-2021年(三年)八年级上学期期末考试英语试题分类汇编
阅读理解
江苏省南京市联合体2020-2021学年八年级上学期期末考试英语试卷
四、阅读理解(共 10 小题,每小题 1 分,满分 10 分)
阅读下列材料,从每题所给的四个选项A、B、C、D 四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
A
Moonlight Middle School
Name: Frank Class: 1 Grade: 7
Chinese Good this term. but he needs to read more and speak more
Maths He is a little weak in this, but he is trying his best to catch up with others
English He is the best in the class, so he can remember many English words
History He is not good at this, and he does not do his best this term
Science He can work out many difficulties. Well done!
Geography Good! He knows the names of many places in the world, but sometimes he is
careless
P.E. He loves sports and does well in baseball. He often practices it with his friend,
Andy every Wednesday and Friday after school.
Class teacher: Wang Bing
2020-2021学年11月9日南京联合体七上英语期中试卷+答案
【联合体英语】2020七上期中考试试卷
一、听力部分(共15小题;每小题1分,计15分)
略
二、单项填空(共15小题;每小题1分,满分15分)
从A、B、C、D四个选项中,选出可以填入空白处的最佳选项。16.Doyouhaveacomputerlesson________theafternoon,Kate?
A.forB.atC.onD.in
17.Ourschoolhall________tallandbeautiful.Weoftenhavemeetingshere.
A.readsB.looksC.watchesD.sees
18.---________doyouvisityourgrandparents?
---Twiceaweek.
A.HowlongB.HowmuchC.HowmanyD.Howoften
19.XiaoDongandhisfatheroften________footballandwatchfootballgameson
TV.
efromD.wakeup
20.---What________doyoulikebest?
---Ilikeplayingtennisandrunning.
A.subjectsB.colorsC.sportsD.matches
21.---IsMr.Zhaoyourteacher?
---Yes.Heteaches________Maths.
C.weD.our
22.Theschoolday________atseveneverymorning.
A.beginsB.isbeginningC.beginD.willbegin23.---Howdoestheboylook?
---Heisvery________.Heplaysfootballfortwohourseveryday.
A.happyB.sadC.strongD.free
