中考试题苏州市吴江区青云中学二模拟试卷
1 2016年苏州市中考吴江区青云中学数学二模拟试卷
2016.06
一、选择题：本大题共10小题，每小题3分，共30分，在每小题所给出的四个选项中，恰有一项是符合题目要求的，请将正确选项的代号填入题后括号内．
1．－3
2的相反数是（ ） A ．－23
B ．32
C ．2
3 D ．－32 2．计算a 2b ·a 的结果是（ ）
A ．a 3b
B ．2a 2b
C ．a 2b 2
D ．a 2b
3．江苏省占地面积约为107200平方公里．将107200用科学记数法表示应为（ ）
A ．0.1072×106
B ．1.072×105
C ．1.072×106
D ．10.72×104
4．如图，∠1＝50°，如果AB ∥DE ，那么∠D 的度数为（ ） A . 40° B . 50°
C . 130°
D . 140°
5．已知实数0<a ，则下列事件中是必然事件的是（ ）
A ．03<+a
B ．03<-a
C ．03>a
D ．03>a 6．已知点A （2，1）在二次函数m x x y +-=82（m 为常数）的图像上，则点A 关于图像对称轴的对称点坐标是（ ）
A ．（4，1）
B ．（5，1）
C ．（6，1）
D ．（7，1）
7．下列各数中，是无理数的是（ ）
A ．cos30°
B ．(－π)0
C ．－3
1 D ．64 8．体积为80的正方体的棱长在（ ）
A ．3到4之间
B ．4到5之间
C ．5到6之间
D ．6到7之间
9．如图，将等边△ABC 的边AC 逐渐变成以B 为圆心、BA 为半径的 ⌒AC
，长度不变，AB 、BC 的长度也不变，则∠ABC 的度数大小由60°变为（ ）
A ．⎪⎭⎫ ⎝⎛π60°
B ．⎪⎭⎫ ⎝⎛π90°
C ．⎪⎭⎫ ⎝⎛π120°
D ．⎪⎭
⎫ ⎝⎛π180° 10．如图，正方形OABC 的边长为6，A ，C 分别位于x 轴、y 轴上，点P 在AB 上，CP 交OB 于点Q ，函数y ＝
x k 的图象经过点Q ，若S △BPQ ＝41S △OQC ，则k 的值为（ ） A ．－12 B ．12 C ．16 D ．18 C （第4题） 1 A B D
E。
吴江中考二模语文试卷
一、基础知识（共15分）1. 下列加点字注音全部正确的一项是（）A. 谚语（yàn）端午（duān）琢磨（mó）B. 美味（měi）嫩滑（nèn）恬静（tián）C. 崇尚（chóng）畅快（chàng）悠然（yōu）D. 贪婪（lán）羞涩（sè）欣慰（xīn）2. 下列词语书写完全正确的一项是（）A. 沐浴（mù yù）招贴（zhāo tiě）摆脱（bǎi tuō）B. 炽热（chì rè）美轮美奂（měi lún měi huàn）烂漫（làn màn）C. 恋恋不舍（liàn liàn bù shě）惊心动魄（jīng xīn dòng pò）风驰电掣（fēng chí diàn chè）D. 踉踉跄跄（liàng liàng qiàng qiàng）摧枯拉朽（cuī kū lā xiǔ）雕梁画栋（diāo liáng huà dòng）3. 下列句子中，没有语病的一项是（）A. 随着我国科技水平的不断提高，我国航天事业取得了举世瞩目的成就。
B. 在这次活动中，我们不仅增长了知识，而且锻炼了能力。
C. 随着经济的发展，我国人民的生活水平不断提高，精神面貌焕然一新。
D. 为了使我们的校园更加美丽，我们要努力做到不乱扔垃圾。
4. 下列各句中，加点成语使用正确的一项是（）A. 小明平时学习很努力，这次考试取得了优异的成绩，他真是出类拔萃。
B. 在这次比赛中，我国运动员发扬了顽强拼搏的精神，勇夺金牌。
C. 面对困难，我们要保持乐观的心态，不要一蹶不振。
D. 老师总是耐心地教导我们，使我们受益匪浅。
最新初中数学中考模拟试题(江苏省苏州市吴江市
江苏省苏州市吴江市青云中学中考数学二模试卷一、选择题（共10小题，每小题3分，满分30分）1．（3分）﹣4的绝对值等于（）A ．﹣B ．﹣C．﹣4D．42．（3分）计算（﹣xy3）2的结果是（）A．x2y6B．﹣x2y6C．x2y9D．﹣x2y93．（3分）如图，BC⊥AE于点C，CD∥AB，∠B＝40°，则∠ECD的度数是（）A．70°B．60°C．50°D．40°4．（3分）下列式子为最简二次根式的是（）A ．B ．C ．D ．5．（3分）把多项式2x2﹣8分解因式，结果正确的是（）A．2（x2﹣8）B．2（x﹣2）2C．2（x+2）（x﹣2）D．2x（x ﹣）6．（3分）“天虹商场”一天售出某品牌运动鞋12双，其中各种尺码的鞋的销售量如表所示：则这12双鞋的尺码组成的一组数据中，众数和中位数分别是（）A．25，25B．24.5，25C．24.5，24.5D．25，24.75 7．（3分）某村原有林地108公顷，旱地54公顷，为保护环境，需把一部分旱地改造为林地，使旱地面积占林地面积的20%．设把x公顷旱地改为林地，则可列方程（）A．54﹣x＝20%×108B．54﹣x＝20%（108+x）C．54+x＝20%×162D．108﹣x＝20%（54+x）8．（3分）在边长为1的小正方形组成的网格中，有如图所示的A、B两点，在格点中任意放置点C，恰好能使△ABC的面积为1的概率为（）A．B．C．D．9．（3分）如图，在正方形ABCD中，AB＝2，点E是DC中点，AF平分∠EAB，FH⊥AD 交AE于点G，则GH的长为（）A．B．C．D．10．（3分）已知菱形OABC在平面直角坐标系的位置如图所示，顶点A（5，0），OB＝4，点P是对角线OB上的一个动点，D（0，1），当CP+DP最短时，点P的坐标为（）A．（1，）B．（，）C．（，）D．（，）二、填空题：本大题共8小题，每小题3分，共24分．11．（3分）计算：（x+1）（2x﹣3）的结果为．12．（3分）过度包装既浪费资源又污染环境．据测算，如果全国每年减少十分之一的包装纸用量，那么能减少3120000吨二氧化碳的排放量．把数据3120000用科学记数法表示为．13．（3分）抛物线y＝x2﹣4x+1的顶点坐标为．14．（3分）分式方程＝1﹣的解是．15．（3分）如图，在△ABC中，AC＞AB，点D在BC上，且BD＝BA，∠ABC的平分线BE交AD于点E，点F是AC的中点，连结EF．若四边形DCFE和△BDE的面积都为3，则△ABC的面积为．16．（3分）如图，四边形ABCD是⊙O的内接四边形，⊙O的半径为2，弧AC的长为π，则∠ADC的大小是．17．（3分）如图，在平行四边形ABCD中，对角线AC、BD交于点O、AC⊥AB、∠ABC＝30°，过点A作AE⊥BC于点E，交BD于点F，则＝．18．（3分）如图，一次函数与反比例函数的图象交于A（1，12）和B（6，2）两点．点P 是线段AB上一动点（不与点A和B重合），过P点分别作x、y轴的垂线PC、PD交反比例函数图象于点M、N，则四边形PMON面积的最大值是．三、解答题：本大题共10小题，共76分，解答时应写出必要的计算过程、推演步骤或文字说明．19．（5分）计算：20170﹣|﹣2|+﹣（）﹣1．20．（5分）解不等式组：，并把它的解集在数轴上表示出来．21．（6分）先化简，再求值：÷（1+），其中x＝+2．22．（6分）某中学为开拓学生视野，开展“课外读书周”活动，活动后期随机调查了九年级部分学生一周的课外阅读时间，并将结果绘制成两幅不完整的统计图，请你根据统计图的信息回答下列问题：（1）请你补全条形统计图；（2）在扇形统计图中，课外阅读时间为5小时的扇形的圆心角度数是度；（3）若全校九年级共有学生700人，估计九年级一周课外阅读时间为6小时的学生有多少人？23．（8分）4件同型号的产品中，有l件不合格品和3件合格品．（1）从这4件产品中随机抽取1件进行检测，不放回，再随机抽取1件进行检测．请用列表法或画树状图的方法，求两次抽到的都是合格品的概率；（解答时可用A表示l件不合格品，用B、C、D分别表示3件合格品）（2）在这4件产品中加入x件合格品后，进行如下试验：随机抽取1件进行检侧，然后放回，多次重复这个试验，通过大量重复试验后发现，抽到合格品的频率稳定在0.95，则可以推算出x的值大约是多少？24．（8分）如图，△ABC中，D是BC边上一点，E是AD的中点，过点A作BC的平行线交CE的延长线于点F，且AF＝BD，连接BF．（1）求证：△AEF≌△DEC；（2）若AB＝AC，试判断四边形AFBD的形状，并证明你的结论．25．（8分）货车和轿车分别从甲、乙两地同时出发，沿同一公路相向而行．轿车出发2.4h 后休息，直至与货车相遇后，以原速度继续行驶．设货车出发xh后，货车、轿车分别到达离甲地y1km和y2km的地方，图中的线段OA、折线BCDE分别表示y1、y2与x之间的函数关系．（1）求点D的坐标，并解释点D的实际意义；（2）求线段DE所在直线的函数表达式；（3）当货车出发h时，两车相距50km．26．（10分）如图，已知⊙O是△ABC的外接圆，AD是⊙O的直径，且BD＝BC．延长AD 到E，使得∠EBD＝∠CAB．（1）如图1，若BD＝2，AC＝6．①求证：BE是⊙O的切线；②求DE的长；（2）如图2，连结CD，交AB于点F，若BD＝2，CF＝3，求⊙O的半径．27．（10分）如图1，在直角坐标系xOy中，直线l：y＝kx+b交x轴、y轴于点E、F，点B 的坐标是（2，2），过点B分别作x轴、y轴的垂线，垂足为A、C，点D是线段CO上的动点，连结BD，将△BCD沿直线BD折叠后得到△BC′D．（1）当图1中的直线l经过点A，且k＝﹣时（如图2）．①b＝，点C′的坐标为（，）②求点D由C到O的运动过程中，线段BC′扫过的图形与△OAF重叠部分的面积．（2）当图1中的直线l经过点D，C′时（如图3），将△DOE沿直线DE折叠后得到△DO′E，连结O′C，O′O，若△DO′E与△CO′O相似，求k、b的值．28．（10分）如图，抛物线y＝﹣x2+bx+c的图象与x轴交于A（﹣4，0）、B（1，0）两点，与y轴交于点C，连结AC．（1）求该抛物线的函数表达式；（2）动点M从点A出发，沿AC方向以个单位/秒的速度向终点C匀速运动，动点N 从点O出发，沿着OA方向以个单位/秒的速度向终点A匀速运动，设点M、N同时出发，运动时间为t（0＜t≤2）．①连结MN、NC，当t为何值时，△CMN为直角三角形；②在两个动点运动的过程中，该抛物线上是否存在点P，使得以点O、P、M、N为顶点的四边形是平行四边形？若存在，求出点P的坐标；若不存在，请说明理由．江苏省苏州市吴江市青云中学中考数学二模试卷参考答案与试题解析一、选择题（共10小题，每小题3分，满分30分）1．（3分）﹣4的绝对值等于（）A．﹣B．﹣C．﹣4D．4【分析】根据绝对值的性质：一个负数的绝对值是它的相反数解答即可．【解答】解：根据绝对值的性质，|﹣4|＝4．故选：D．【点评】本题考查了绝对值的性质：一个正数的绝对值是它本身，一个负数的绝对值是它的相反数，0的绝对值是0，属于基础题，比较容易解答．2．（3分）计算（﹣xy3）2的结果是（）A．x2y6B．﹣x2y6C．x2y9D．﹣x2y9【分析】根据幂的乘方和积的乘方的运算方法：①（a m）n＝a mn（m，n是正整数）；②（ab）n＝a n b n（n是正整数）；求出计算（﹣xy3）2的结果是多少即可．【解答】解：（﹣xy3）2＝（﹣x）2•（y3）2＝x2y6，即计算（﹣xy3）2的结果是x2y6．故选：A．【点评】此题主要考查了幂的乘方和积的乘方，要熟练掌握，解答此题的关键是要明确：①（a m）n＝a mn（m，n是正整数）；②（ab）n＝a n b n（n是正整数）．3．（3分）如图，BC⊥AE于点C，CD∥AB，∠B＝40°，则∠ECD的度数是（）A．70°B．60°C．50°D．40°【分析】由BC与AE垂直，得到三角形ABC为直角三角形，利用直角三角形两锐角互余，求出∠A的度数，再利用两直线平行同位角相等即可求出∠ECD的度数．【解答】解：∵BC⊥AE，∴∠ACB＝90°，在Rt△ABC中，∠B＝40°，∴∠A＝90°﹣∠B＝50°，∵CD∥AB，∴∠ECD＝∠A＝50°，故选：C．【点评】此题考查了平行线的性质，以及垂线，熟练掌握平行线的性质是解本题的关键．4．（3分）下列式子为最简二次根式的是（）A．B．C．D．【分析】判定一个二次根式是不是最简二次根式的方法，就是逐个检查最简二次根式的两个条件是否同时满足，同时满足的就是最简二次根式，否则就不是．【解答】解：A、符合最简二次根式的定义，故本选项正确；B、被开方数4＝22，即被开方数含能开得尽方的因数，不是最简二次根式，故本选项错误；C、被开方数8＝2×22，即被开方数含能开得尽方的因数，不是最简二次根式，故本选项错误；D、被开方数含有分母，不是最简二次根式，故本选项错误；故选：A．【点评】本题考查最简二次根式的定义，最简二次根式必须满足两个条件：（1）被开方数不含分母；（2）被开方数不含能开得尽方的因数或因式．5．（3分）把多项式2x2﹣8分解因式，结果正确的是（）A．2（x2﹣8）B．2（x﹣2）2C．2（x+2）（x﹣2）D．2x（x﹣）【分析】首先提取公因式2，进而利用平方差公式分解因式得出即可．【解答】解：2x2﹣8＝2（x2﹣4）＝2（x﹣2）（x+2）．故选：C．【点评】此题主要考查了提取公因式法以及公式法分解因式，熟练应用平方差公式分解因式是解题关键．6．（3分）“天虹商场”一天售出某品牌运动鞋12双，其中各种尺码的鞋的销售量如表所示：则这12双鞋的尺码组成的一组数据中，众数和中位数分别是（）A．25，25B．24.5，25C．24.5，24.5D．25，24.75【分析】找中位数要把数据按从小到大的顺序排列，位于最中间的一个数（或两个数的平均数）为中位数；众数是一组数据中出现次数最多的数据．【解答】解：从小到大排列此数据为：23.5、24、24、24.5、24.5、24.5、25、25、25、25、26、26，中间两个数是24.5和25，则中位数是24.75；数据25出现了五次，出现的次数最多，则众数是25．故选：D．【点评】此题考查了中位数和众数．注意找中位数的时候一定要先排好顺序，然后再根据奇数和偶数个来确定中位数，如果数据有奇数个，则正中间的数字即为所求．如果是偶数个则找中间两位数的平均数．注意众数可以不止一个．7．（3分）某村原有林地108公顷，旱地54公顷，为保护环境，需把一部分旱地改造为林地，使旱地面积占林地面积的20%．设把x公顷旱地改为林地，则可列方程（）A．54﹣x＝20%×108B．54﹣x＝20%（108+x）C．54+x＝20%×162D．108﹣x＝20%（54+x）【分析】设把x公顷旱地改为林地，根据旱地面积占林地面积的20%列出方程即可．【解答】解：设把x公顷旱地改为林地，根据题意可得方程：54﹣x＝20%（108+x）．故选：B．【点评】本题考查一元一次方程的应用，关键是设出未知数以以改造后的旱地与林地的关系为等量关系列出方程．8．（3分）在边长为1的小正方形组成的网格中，有如图所示的A、B两点，在格点中任意放置点C，恰好能使△ABC的面积为1的概率为（）A．B．C．D．【分析】按照题意分别找出点C所在的位置：当点C与点A在同一条直线上时，AC边上的高为1，AC＝2，符合条件的点C有4个；当点C与点B在同一条直线上时，BC边上的高为1，BC＝2，符合条件的点C有2个，再根据概率公式求出概率即可．【解答】解：可以找到6个恰好能使△ABC的面积为1的点，∴概率为：，故选：D．【点评】此题主要考查了概率公式，解决此题的关键是正确找出恰好能使△ABC的面积为1的点．9．（3分）如图，在正方形ABCD中，AB＝2，点E是DC中点，AF平分∠EAB，FH⊥AD 交AE于点G，则GH的长为（）A．B．C．D．【分析】在Rt△ADE中，根据勾股定理可求AE，设AG＝x，可得GF＝x，HG＝2﹣x，根据相似三角形的性质列出方程求出x，进一步得到GH的长即可求解．【解答】解：∵在正方形ABCD中，AB＝2，点E是DC中点，∴DE＝1，在Rt△ADE中，AE＝＝，∵AF平分∠EAB，∴∠GAF＝∠BAF，∵FH⊥AD，∴AB∥HF∥CD，AB＝HF，∴∠GF A＝∠BAF，∴AG＝GF，设AG＝x，则GF＝x，GH＝2﹣x，则＝，即＝，解得x＝，GH═2﹣x＝2﹣＝．故选：B．【点评】考查了勾股定理，相似三角形的性质，角平分线的性质，条件多而复杂，注意知识的综合运用与转化．10．（3分）已知菱形OABC在平面直角坐标系的位置如图所示，顶点A（5，0），OB＝4，点P是对角线OB上的一个动点，D（0，1），当CP+DP最短时，点P的坐标为（）A．（1，）B．（，）C．（，）D．（，）【分析】如图，连接AC交OB于K，作KH⊥OA于H．由四边形ABCD是菱形，推出AC⊥OB，A、C关于对角线OB对称，推出PC＝PC，推出PC+PD＝P A+PD，所以当D、P、A共线时，PC+PD的值最小，求出直线OB与直线AD的交点即可解决问题．【解答】解：如图，连接AC交OB于K，作KH⊥OA于H．∵四边形ABCD是菱形，∴AC⊥OB，A、C关于对角线OB对称，∴PC＝PC，∴PC+PD＝P A+PD，∴当D、P、A共线时，PC+PD的值最小，在Rt△OAK中，∵OK＝2，OA＝5，∴AK＝＝，∵KH⊥OA，∴KH＝＝2，OH＝＝4，∴K（4，2），∴直线OK的解析式为y＝x，直线AD的解析式为y＝﹣x+1，由，解得，∴OB与AD的交点P′（，），∴当点P与P′重合时，CP+DP最短时，点P的坐标为（，），、故选：D．【点评】本题考查轴对称﹣最短问题、坐标与图形的性质、菱形的性质等知识，解题的关键是灵活运用所学知识解决问题，学会用转化的思想思考问题，学会构建一次函数解决交点问题，所以中考常考题型．二、填空题：本大题共8小题，每小题3分，共24分．11．（3分）计算：（x+1）（2x﹣3）的结果为2x2﹣x﹣3．【分析】多项式与多项式相乘的法则：多项式与多项式相乘，先用一个多项式的每一项乘另外一个多项式的每一项，再把所得的积相加．依此计算即可求解．【解答】解：（x+1）（2x﹣3）＝2x2﹣3x+2x﹣3＝2x2﹣x﹣3．故答案为：2x2﹣x﹣3．【点评】考查了多项式乘多项式，运用法则时应注意以下两点：①相乘时，按一定的顺序进行，必须做到不重不漏；②多项式与多项式相乘，仍得多项式，在合并同类项之前，积的项数应等于原多项式的项数之积．12．（3分）过度包装既浪费资源又污染环境．据测算，如果全国每年减少十分之一的包装纸用量，那么能减少3120000吨二氧化碳的排放量．把数据3120000用科学记数法表示为 3.12×106．【分析】科学记数法的表示形式为a×10n的形式，其中1≤|a|＜10，n为整数．确定n 的值时，要看把原数变成a时，小数点移动了多少位，n的绝对值与小数点移动的位数相同．当原数绝对值＞1时，n是正数；当原数的绝对值＜1时，n是负数．【解答】解：将3120000用科学记数法表示为3.12×106．故答案为：3.12×106．【点评】此题考查科学记数法的表示方法．科学记数法的表示形式为a×10n的形式，其中1≤|a|＜10，n为整数，表示时关键要正确确定a的值以及n的值．13．（3分）抛物线y＝x2﹣4x+1的顶点坐标为（2，﹣3）．【分析】用配方法将抛物线的一般式转化为顶点式，可求顶点坐标．【解答】解：∵y＝x2﹣4x+1＝（x﹣2）2﹣3，∴抛物线顶点坐标为（2，﹣3）．【点评】将解析式化为顶点式y＝a（x﹣h）2+k，顶点坐标是（h，k），对称轴是x＝h．14．（3分）分式方程＝1﹣的解是x＝﹣1．【分析】分式方程变形后，去分母转化为整式方程，求出整式方程的解得到x的值，经检验即可得到分式方程的解．【解答】解：去分母得：x＝2x﹣1+2，解得：x＝﹣1，经检验x＝﹣1是分式方程的解．故答案为：x＝﹣1．【点评】此题考查了解分式方程，解分式方程的基本思想是“转化思想”，把分式方程转化为整式方程求解．解分式方程一定注意要验根．15．（3分）如图，在△ABC中，AC＞AB，点D在BC上，且BD＝BA，∠ABC的平分线BE交AD于点E，点F是AC的中点，连结EF．若四边形DCFE和△BDE的面积都为3，则△ABC的面积为10．【分析】依据BD＝AB，BE是∠ABC的平分线，即可得到AE＝DE，进而得出△BDE的面积与△ABE的面积均为3，再根据EF是△ACD的中位线，即可得出△ACD的面积为4，即可得到△ABC的面积为3+3+4＝10．【解答】解：∵BD＝AB，BE是∠ABC的平分线，∴AE＝DE，∴△BDE的面积与△ABE的面积均为3，又∵点F是AC的中点，∴EF是△ACD的中位线，∴2EF＝CD，EF∥DC，∴△AEF∽△ADC，∴S△ACD＝4S△AEF，∵四边形CDEF的面积为3，∴△ACD的面积为4，∴△ABC的面积为3+3+4＝10．故答案为：10．【点评】本题主要考查了三角形中位线定理以及相似三角形的判定与性质，相似三角形的面积的比等于相似比的平方．16．（3分）如图，四边形ABCD是⊙O的内接四边形，⊙O的半径为2，弧AC的长为π，则∠ADC的大小是135°．【分析】连接OC、OA，根据弧长公式求出∠AOC，根据圆周角定理求出∠ABC，根据圆内接四边形的性质计算即可．【解答】解：连接OC、OA，设∠AOC＝n°，则＝π，解得，n＝90，∴∠AOC＝90°，由圆周角定理得，∠ABC＝45°，∴∠ADC＝180°﹣∠ABC＝135°，故答案为：135°．【点评】本题考查的是圆内接四边形的性质、圆周角定理以及弧长公式的应用，掌握圆内接四边形的对角互补是解题的关键．17．（3分）如图，在平行四边形ABCD中，对角线AC、BD交于点O、AC⊥AB、∠ABC＝30°，过点A作AE⊥BC于点E，交BD于点F，则＝．【分析】由直角三角形的性质和勾股定理得出AB＝2AE，BE＝AE，AC＝2CE，AE＝CE，设CE＝a，则a，AB＝2，BE＝3a，由平行四边形的性质得出AD∥BC，AD＝BC＝4a，AO＝AC＝a，证明ADF∽△EBF，得出＝，求出AF＝AE＝a，即可得出结论．【解答】解：∵AE⊥BC，∠ABC＝30°，∴∠AEB＝∠AEC＝90°，AB＝2AE，∠BAE＝90°﹣30°＝60°，∴BE＝AE，∵AC⊥AB，∴∠CAE＝30°，∴AC＝2CE，AE＝CE，设CE＝a，则a，AB＝2，BE＝3a，∴BC＝4a，∵四边形ABCD是平行四边形，∴AD∥BC，AD＝BC＝4a，AO＝AC＝a，∴△ADF∽△EBF，∴＝，∴AF＝AE＝a，∴＝＝，故答案为：．【点评】本题考查了相似三角形的判定与性质、平行四边形的性质、含30°角的直角三角形的性质、勾股定理等知识；熟练掌握平行四边形的性质和直角三角形的性质，证明三角形相似是解决问题的关键．18．（3分）如图，一次函数与反比例函数的图象交于A（1，12）和B（6，2）两点．点P 是线段AB上一动点（不与点A和B重合），过P点分别作x、y轴的垂线PC、PD交反比例函数图象于点M、N，则四边形PMON面积的最大值是．【分析】由点A、B的坐标利用待定系数法即可求出一次函数与反比例函数的解析式，设出点P的坐标为（n，﹣2n+14）（1＜n＜6）．由反比例的函数解析式表示出来M、N点的坐标，分割矩形OCPD，结合矩形的面积及反比例函数k的几何意义即可得出结论．【解答】解：设反比例函数解析式为y＝，一次函数解析式为y＝kx+b，由已知得：12＝和，解得：m＝12和．∴一次函数解析式为y＝﹣2x+14，反比例函数解析式为y＝．∵点P在线段AB上，∴设点P的坐标为（n，﹣2n+14）（1＜n＜6）．∴S四边形PMON＝S矩形OCPD﹣S△ODN﹣S△OCM＝n（﹣2n+14）﹣×12﹣×12＝﹣2n2+14n ﹣12＝﹣2+．∴当n＝时，四边形PMON面积最大，最大面积为．故答案为：．【点评】本题考查了反比例函数与一次函数的交点问题、待定系数法求函数解析式以及反比例函数k的几何意义，解题的关键是利用分割法求出四边形PMON面积关于点P横坐标的函数关系式．本题属于基础题，难度不大，解决该题型题目时，根据分割法找出面积的函数关系式，再结合函数的性质（单调性、二次函数的顶点之类）来解决最值问题．三、解答题：本大题共10小题，共76分，解答时应写出必要的计算过程、推演步骤或文字说明．19．（5分）计算：20170﹣|﹣2|+﹣（）﹣1．【分析】首先计算乘方、开方，然后从左向右依次计算，求出算式的值是多少即可．【解答】解：20170﹣|﹣2|+﹣（）﹣1＝1﹣2+3﹣4＝﹣2【点评】此题主要考查了实数的运算，零指数幂、负整数指数幂的求法，要熟练掌握，解答此题的关键是要明确：在进行实数运算时，和有理数运算一样，要从高级到低级，即先算乘方、开方，再算乘除，最后算加减，有括号的要先算括号里面的，同级运算要按照从左到右的顺序进行．另外，有理数的运算律在实数范围内仍然适用．20．（5分）解不等式组：，并把它的解集在数轴上表示出来．【分析】先求出每个不等式的解集，再求出不等式组的解集，最后在数轴上表示出来即可．【解答】解：解不等式①得：x≤1，解不等式②得：x＞﹣2，∴不等式组的解集为﹣2＜x≤1，在数轴上表示为：．【点评】本题考查了解一元一次不等式组的应用，能根据不等式的解集找出不等式组的解集是解此题的关键．21．（6分）先化简，再求值：÷（1+），其中x＝+2．【分析】先将分式化简，然后将x的值代入即可求出答案．【解答】解：原式＝÷＝×＝当x＝+2时，∴原式＝＝1+【点评】本题考查分式的化简求值，解题的关键是熟练运用分式的运算法则，本题属于基础题型．22．（6分）某中学为开拓学生视野，开展“课外读书周”活动，活动后期随机调查了九年级部分学生一周的课外阅读时间，并将结果绘制成两幅不完整的统计图，请你根据统计图的信息回答下列问题：（1）请你补全条形统计图；（2）在扇形统计图中，课外阅读时间为5小时的扇形的圆心角度数是144度；（3）若全校九年级共有学生700人，估计九年级一周课外阅读时间为6小时的学生有多少人？【分析】（1）根据统计图可知，课外阅读达3小时的共10人，占总人数的20%，由此可得出总人数；求出课外阅读时间4小时与6小时男生的人数，再求出的人数补全条形统计图即可；（2）求出课外阅读时间为5小时的人数，再求出其人数与总人数的比值即可得出扇形的圆心角度数；（3）求出总人数与课外阅读时间为6小时的学生人数的百分比的积即可．【解答】解：（1）∵课外阅读达3小时的共10人，占总人数的20%，∴＝50（人）．∵课外阅读4小时的人数是32%，∴50×32%＝16（人），∴男生人数＝16﹣8＝8（人）；∴课外阅读6小时的人数＝50﹣6﹣4﹣8﹣8﹣8﹣12﹣3＝1（人），如图所示．（2）∵课外阅读5小时的人数是20人，×360°＝144°．故答案为：144°；（3）∵课外阅读5小时的人数是4人，∴700×＝56（人）．答：九年级一周课外阅读时间为6小时的学生大约有56人．【点评】本题考查的是条形统计图，熟知条形统计图与扇形统计图的特点是解答此题的关键．23．（8分）4件同型号的产品中，有l件不合格品和3件合格品．（1）从这4件产品中随机抽取1件进行检测，不放回，再随机抽取1件进行检测．请用列表法或画树状图的方法，求两次抽到的都是合格品的概率；（解答时可用A表示l件不合格品，用B、C、D分别表示3件合格品）（2）在这4件产品中加入x件合格品后，进行如下试验：随机抽取1件进行检侧，然后放回，多次重复这个试验，通过大量重复试验后发现，抽到合格品的频率稳定在0.95，则可以推算出x的值大约是多少？【分析】（1）利用独立事件同时发生的概率等于两个独立事件单独发生的概率的积即可计算；（2）根据频率估计出概率，利用概率公式列式计算即可求得x的值；【解答】解：（1）共有12种情况，抽到的都是合格品的情况有6种，P（抽到的都是合格品）＝＝；（2）∵大量重复试验后发现，抽到合格品的频率稳定在0.95，∴抽到合格品的概率等于0.95，∴＝0.95，解得：x＝16．【点评】本题考查了概率的公式、列表法与树状图法及用频率估计概率的知识，解题的关键是了解大量重复试验中事件发生的频率可以估计概率．24．（8分）如图，△ABC中，D是BC边上一点，E是AD的中点，过点A作BC的平行线交CE的延长线于点F，且AF＝BD，连接BF．（1）求证：△AEF≌△DEC；（2）若AB＝AC，试判断四边形AFBD的形状，并证明你的结论．【分析】（1）根据两直线平行，内错角相等求出∠AFE＝∠DCE，∠F AE＝∠CDE，然后利用“角角边”证明△AEF和△DEC全等；（2）由（1）知AF平行等于BD，易证四边形AFBD是平行四边形，而AB＝AC，AD是中线，利用等腰三角形三线合一定理，可证AD⊥BC，即∠ADB＝90°，那么可证四边形AFBD是矩形．【解答】（1）证明：∵AF∥BC，∴∠AFE＝∠DCE，∠F AE＝∠CDE，∵点E为AD的中点，∴AE＝DE，在△AEF和△DEC中，，∴△AEF≌△DEC（AAS）；（2）解：若AB＝AC，则四边形AFBD是矩形．理由如下：∵AF∥BD，AF＝BD，∴四边形AFBD是平行四边形，∵△AEF≌△DEC，∴AF＝CD，∵AF＝BD，∴CD＝BD；∵AB＝AC，BD＝CD，∴∠ADB＝90°，∴平行四边形AFBD是矩形．【点评】本题考查了矩形的判定，全等三角形的判定与性质，平行四边形的判定，是基础题，明确有一个角是直角的平行四边形是矩形是解本题的关键．25．（8分）货车和轿车分别从甲、乙两地同时出发，沿同一公路相向而行．轿车出发2.4h 后休息，直至与货车相遇后，以原速度继续行驶．设货车出发xh后，货车、轿车分别到达离甲地y1km和y2km的地方，图中的线段OA、折线BCDE分别表示y1、y2与x之间的函数关系．（1）求点D的坐标，并解释点D的实际意义；（2）求线段DE所在直线的函数表达式；（3）当货车出发或4.25h时，两车相距50km．【分析】（1）待定系数求出OA解析式，继而根据点D的纵坐标为300求得其横坐标，即可得答案；（2）根据休息前2.4小时行驶300km可得行驶后行驶300km也需要2.4h，即可得点E 坐标，待定系数法即可求得DE所在直线解析式；（3）先求出BC所在直线解析式，再根据①轿车休息前与货车相距200km，②轿车休息后与货车相距200km，分别列出方程求解可得．【解答】解：（1）设OA所在直线解析式为y＝mx，将x＝8、y＝600代入，求得m＝75，∴OA所在直线解析式为y＝75x，令y＝300得：75x＝300，解得：x＝4，∴点D坐标为（4，300 ），其实际意义为：点D是指货车出发4h后，与轿车在距离甲地300 km处相遇．（2）由图象知，轿车在休息前2.4小时行驶300km，∴根据题意，行驶后300km需2.4h，故点E坐标（6.4，0 ）．设DE所在直线的函数表达式为y＝kx+b，将点D（4，300 ），E（ 6.4，0）代入y＝kx+b得：，得，∴DE所在直线的函数表达式为y＝﹣125x+800．（3）设BC段函数解析式为：y＝px+q，将点B（0，600）、C（2.4，300）代入，得：，解得：，y＝﹣125x+600，①当轿车休息前与货车相距50km时，有：﹣125x+600﹣75x＝50或300﹣75x＝50，解得：x＝2.75（不合题意舍弃）或x＝；②当轿车休息后与货车相距50km时，有：75x﹣（﹣125x+800）＝50，解得：x＝4.25；故答案为：或4.25．【点评】本题考查了一次函数的应用，待定系数法是求函数解析式的关键，注意分类讨论思想的渗透．26．（10分）如图，已知⊙O是△ABC的外接圆，AD是⊙O的直径，且BD＝BC．延长AD 到E，使得∠EBD＝∠CAB．（1）如图1，若BD＝2，AC＝6．①求证：BE是⊙O的切线；②求DE的长；（2）如图2，连结CD，交AB于点F，若BD＝2，CF＝3，求⊙O的半径．【分析】（1）①连接OB，由条件可求得∠EBD＝∠ABO，再利用圆周角定理可求得∠EBD+∠OBD＝90°，可证明BE是⊙O的切线；②利用圆内接四边形的性质可求得∠BDE＝∠ACB，可证明△ACB∽△BDE，利用相似三角形的性质可求得DE的长；（2）延长DB、AC交于点H，可证得△ABD≌△ABH，可求得HB，再利用△DCH∽△DBF，可求得DF的长，设⊙O的半径为r，则AD＝AH＝2r，在Rt△DCH中可求得CH ＝4，在Rt△ADC中，AD＝2r，CD＝8，AC＝2r﹣4，由勾股定理可得到关于r的方程，可求得圆的半径．【解答】解：（1）①如图1，连接OB，∵BD＝BC，∴∠CAB＝∠BAD，∵∠EBD＝∠CAB，∴∠BAD＝∠EBD，∵AD是⊙O的直径，∴∠ABD＝90°，OA＝BO，∴∠BAD＝∠ABO，∴∠EBD＝∠ABO，∴∠OBE＝∠EBD+∠OBD＝∠ABD+∠OBD＝∠ABD＝90°，∵点B在⊙O上，∴BE是⊙O的切线；②∵四边形ACBD是圆的内接四边形，∴∠ACB＝∠BDE，且∠EBD＝∠CAB，∴△ACB∽△BDE，∴＝，即＝，解得DE＝；（2）如图2，延长DB、AC交于点H，∵AD为⊙O的直径，∴∠ABD＝∠ABH＝90°，∵BD＝BC，∴∠DAB＝∠HAB，在△ABD和△ABH中∴△ABD≌△ABH（ASA），∴BD＝HB＝2，∵∠DCH＝∠FBD＝90°，∴△DCH∽△DBF，∴＝，即＝，解得DF＝5，设⊙O的半径为r，则AD＝AH＝2r，在Rt△DCH中，CH＝＝＝4，∴AC＝2r﹣4，在Rt△ACD中，由勾股定理可得AD2＝AC2+CD2，∴（2r）2＝（2r﹣4）2+82，解得r＝5，即⊙O的半径为5．【点评】本题为圆的综合应用，涉及切线的判定和性质、相似三角形的判定和性质、圆圆角定理、全等三角形的判定和性质、方程思想等知识．在（1）②中证明△ACB∽△BDE 是解题的关键，在（2）中构造三角形全等求得DF的长是解题的关键．本题考查知识点较多，综合性较强，难度适中．27．（10分）如图1，在直角坐标系xOy中，直线l：y＝kx+b交x轴、y轴于点E、F，点B 的坐标是（2，2），过点B分别作x轴、y轴的垂线，垂足为A、C，点D是线段CO上的动点，连结BD，将△BCD沿直线BD折叠后得到△BC′D．（1）当图1中的直线l经过点A，且k＝﹣时（如图2）．①b＝，点C′的坐标为（2﹣，1）②求点D由C到O的运动过程中，线段BC′扫过的图形与△OAF重叠部分的面积．（2）当图1中的直线l经过点D，C′时（如图3），将△DOE沿直线DE折叠后得到△DO′E，连结O′C，O′O，若△DO′E与△CO′O相似，求k、b的值．【分析】（1）①利用翻折变换的性质得出∠CBD＝∠C′BD＝15°，C′B＝CB＝2，进而得出CH的长，进而得出答案；②首先求出直线AF的解析式，进而得出当D与O重合时，点C′与A重合，且BC′扫过的图形与△OAF重合部分是弓形，求出即可；（3）根据题意得出△DO′E与△COO′相似，则△COO′必是Rt△，进而得出Rt△BAE ≌Rt△BC′E（HL），再利用勾股定理求出EO的长进而得出答案．【解答】解：（1）①如图2，∵B（2，2），∴A（2，0），k＝﹣，∴代入直线AF的解析式为：y＝﹣x+b，∴b＝，。
江苏省苏州市吴江区青云中学2019届中考二模语文试卷
2018—2019学年青云中学中考二模初三语文 2019.5第一部分(25分)1.阅读下面的文字，按要求答题。
(6分)苏州山塘街绵yán_______七里，现在依然保持着“水域古街”、“一河一街”的传统格局和小桥流水、粉墙带瓦的历史风貌。
白日的老街，xīxī_______攘攘。
古戏台上吴音软柔、水袖màn_______舞，老字号“黄天源”、“采芝斋”里顾客盈门，前店后坊的刺绣店、玉雕店、蓝印花布店虽然并不富丽唐皇，却也生意兴隆。
入夜的山塘河更值得你流连，乘一叶画舫，听一曲丝竹，看河道两岸五颜六色的灯饰将两岸装扮得流光溢彩，斑驳的历史痕迹在你身边流淌，让人再无xiá________顾及都市的喧嚣。
（1）根据拼音写汉字。
（4分）①绵yán_______ ②xī xī___________攘攘③水袖màn_______舞④无xiá________（2）文中有两个错别字，把它们找出来并改正。
（2分）①改为②改为2.默写古诗文名句，并写出相应的作家、篇名。
（10分）①子夏曰：“___________________，切问而近思，仁在其中矣。
”（《论语》十二章）②不畏浮云遮望眼，_____________________。
（王安石《登飞来峰》）③_____________________？烟波江上使人愁。
（__________《黄鹤楼》）④几处早莺争暖树，_____________________。
（白居易《钱塘湖春行》）⑤荡胸生曾云，______________________。
（杜甫《望岳》）⑥念天地之悠悠，________________________。
（陈子昂《_________________》）⑦________________________。
风休住，蓬舟吹取三山去。
（李清照《渔家傲》）⑧予独爱莲之出淤泥而不染，濯清涟而不妖，中通外直，不蔓不枝，香远益清，亭亭净植，_________________________________。
2024届江苏省苏州市吴江区青云中学中考语文模拟试题含解析
2024届江苏省苏州市吴江区青云中学中考语文模拟试题注意事项：1．答卷前，考生务必将自己的姓名、准考证号、考场号和座位号填写在试题卷和答题卡上。
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将条形码粘贴在答题卡右上角"条形码粘贴处"。
2．作答选择题时，选出每小题答案后，用2B铅笔把答题卡上对应题目选项的答案信息点涂黑；如需改动，用橡皮擦干净后，再选涂其他答案。
答案不能答在试题卷上。
3．非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再写上新答案；不准使用铅笔和涂改液。
不按以上要求作答无效。
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考试结束后，请将本试卷和答题卡一并交回。
一、积累1．填入下面横线上的句子，排列顺序最恰当的一项是当然，真正为学生减负，还需要整个社会教育价值观念的转变、教育科学精神认识的提高。
①这样的竞争，必然有输有赢，可能还会有人体力透支，跑不下去。
②但其实，孩子培养得怎么样，要看拿什么样的尺子去衡量。
③让每个孩子的禀赋、才能、爱好都能被发现，让每个孩子都能够按照适合自己的节奏成长，才能让他们体会到学习的成就和成长的快乐。
④当所有人都要求孩子必须跑步前进的时候，教育就不再是“一朵云推动另一朵云”的心灵唤醒，而完全成了一场你追我赶的竞争。
⑤每个孩子都是独一无二的，都有自己的特长。
⑥如果只以谁分数高来贴标签，就难免泯灭了一些孩子身上的闪光点。
A．④①②⑤⑥③B．⑤⑥②③④①C．④①⑥③⑤②D．⑥③②④①⑤2．下列词语中加点字的注音，全部正确的是（）A．悖．谬(bèi)狡黠．（jié）气喘吁吁．．（xū）有模．有样（mú）B．濒．临（bīn）脚踝．（huái）相濡．以沫（rú）唾．手可得（chuí）C．豢．养（huàn）着．落（zhuó）分道扬镳．（biāo）憨．态可掬（hān）D．拜谒．（yè）沏．茶（qī）矢．志不渝（shǐ）颓垣．断壁（huán）3．下列关于名著的表述，不正确．．．的一项是（）A．关羽义释黄忠，张飞义释严颜，为刘备增添了两员虎将。
江苏省苏州市吴江区青云实验中学中考英语二模试卷
英语试卷第I卷(选择题共55分)一、单项填空（共15小题，每小题1分，满分15分）1. Yesterday ______ 8-year-old boy fell into the river. ______ boy was saved by ______ policeman.A. an, A, aB. an, The, aC. a, The, theD. a, An, the2. I remembered ________ your umbrella here yesterday. Maybe you put it somewhere.A. bringingB. to bringC. bringD. brought3. Red represents power ______ it is also the colour of heat and strong feelings.A. soB. orC. butD. and4. They were too late. When they got to the fashion show, it ________.A. was overB. had been overC. has been overD. will be over.5. Millie is free this weekend. She _______ watch the game show on TV on Sunday.A. ought toB. needC. mightD. has to6. The line of cars in the street was endless. It seemed to be to walk across the street.A. hopefulB. hopelessC. helpfulD. helpless7. --- Good luck with your new diet, Ricky. ---A. Thanks, Millie.B. You’re welcome.C. My pleasure .D. Oh, really？8. --- What did he say? --- He asked .A. if did your uncle catch the “bird flu” virusB. who has been sent up into space in “Shenzhou-VI”C. when Zhalong Nature Reserve became one of the world’s important wetlandsD. that the 2008 Olympic Games will be held in Beijing9. I think ______ is necessary ______ us to do something to protect birds.A. this, forB. it, ofC. this, ofD. it, for10. He got good marks in exams because he put all his ______ into his study.A. affectB. effectC. effortD. offer11. I out of the window and the police after the suspect.A. looked, watched,runB. looked, saw, runningC. watched, saw, runD. saw, watched, running12. Dr Ma _______ in a hospital, but now he works for ORBIS on the plane.A. used to workB. used to workingC. was used to workingD. was used to work13. I like skiing better than climbing because I think climbing is ____________skiing.A. not as exciting asB. not as more exciting asC. not as most exciting asD. more exciting than14. The traffic ______ very bad ______ the snowstorm.A. was, becauseB. was, because ofC. were, becauseD. were, because of15. Which of the following is not used for giving advice?A. You had better not watch a horror film since you get scared easily.B. You mustn’t give your goldfish too much food.C. The swimming pool isn’t open today. I don’t know where to go swimming.D. Perhaps you should buy some souvenirs for your parents.二、完型填空（共10小题，每小题1分，满分10分）（有关乡村音乐）Country music is very old. It came from the United States, Canada, Ireland and Great Britain. It is a mixture of __16__ from all of these places.In the west of America, cowboys had to take care of the cattle (牛). They had to watch them all day and all night because the cattle were nervous and ___17___ ran away. A cowboy’s life was ___18__ and dangerous. When he was alone in the desert with the cattle, he drank strong coffee to __19___ awake (清醒的) at night. He also sang songs to the cattle to make them quiet. He sang about the stars and the moon, about his family and his friends. The cattle ___20____the cowboy and went to sleep. They would not run away __21__ he sang beautiful and peaceful songs.In the south of America, many people came from Ireland, Scotland and England. Other people came from France and Canada. They enjoyed their own kind of music. They used guitars, violins and other musical instruments (器具), too. They also added instruments from their homes, __22__ bottles and plates. When they __23__ their friends and families on holidays, they usually sang and played country music. Country music describes life __24__. It talks about love, jobs, home and money. It talks about friends and enemies, trucks and highways, farms and crops. People in many parts of the world like country music because everyone knows ___25__ about these ideas. Also, many country music fans wear Western clothes and dance together to country music. Many bands (乐队) all over the world now perform country music.16. A. music B. view C. sport D. exercise17. A. never B. seldom C. sometimes D. ever18. A. funny B. lonely C. happy D. noisy19. A. smell B. keep C. seem D. sound20. A. ran to B. followed C. watched D. listened to21. A. that B. whether C. if D. what22. A. like B. unlike C. as D. for example23. A. came B. went C. introduced D. visited24. A. incorrectly B. clearly C. shortly D. recently25. A. nothing B. everything C. something D. anything三、阅读理解(共15小题，每小题2分，满分30分)A26. If you’re interested in football games, you’ll choose _______ first.A. Food and HealthB. Sports WorldC. Today’s NewsD. Game Show27. Li Ming’s grandfather l ikes watching TV news , but he goes to bed before 22:00 every day. How many times can he watch TV news on these two channels ?A. Once.B. Twice.C. Three times.D. Four times.BOn January 18, a 12-man Chinese team landed on the Antarctic icecap peak(南极冰盖最高点). They are the first people to reach the peak of Dome A(海穹A). It is 4039 meters above sea level(平面).The team built a station there to study the changes of the weather, to get ice samples(标本) from 150 meters to 200 meters below, and to do other studies. So far, the team has got nearly 100-meter-long ice samples from a place about 300 meters under the icecap peak.It is the first time that people have been able to get samples from the icecap peak in Antarctic and it is very important for people to study the weather changes and environmental changes in this area.The Chinese scientists also built a weather study system at the peak. The system can send out information about temperature, how strong the wind is, and many other things about the weather.The Antarctic icecap makes up (组成) 70% of the earth’s fresh water(淡水). By studying Dome A, scientists can get the lowest temperature of the earth and other information about the world’s weather changes. We can’t get this information from other places on the earth because Dome A is the best place for this kind of studies. So it is very important to land on the peak of Dome A.28. According the passage, which of the following sentences is CORRECT?A. The Chinese team was the first to land on the Antarctic.B. The team built a station there to change the world’s weather.C. Dome A is the best place for scientists to study the world’s weather changes.D. The Chinese team isn’t the first to get ice samples from the ice cap beak in Antarctic.29. Choose the right order (顺序) according to this passage.① They built a station to study the changes of the weather.② A Chinese team landed on the Antarctic icecap peak.③ The Chinese scientists built a weather study system.④ They got ice samples from the icecap peak.A. ②①④③B. ②①③④C. ③②①④D. ②③④①30. From this passage, we can infer(推断): After the Chinese team landed on theAntarctic icecap peak, ______________.A. we can go there for holidaysB. the world’s weather must be better and betterC. the peak will be the best place for people to live inD. our country will do better in the world’s weather research.31. What’s the best title for this passage?A. The Antarctic Icecap Makes Up 70% of the Earth Fresh Water.B. Chinese Team First Landed on the Antarctic Icecap Peak.C. Weather and Environment Changes in Antarctic.D. The Importance of Dome A.COnce a tiger was in a cage. Soon a good man went by. As soon as the tiger saw the man, the tiger began to cry. “Please! Please!” the tiger called. “Please, let me out.” “No,” said the good man. “If I do, you will eat me.” “I will not eat you,” the tiger said. “Please let me out.”The good man believed the tiger. He opened the door of the cage. The tiger jumped out. “How silly you are,” the tiger laughed. “Now I am going to eat you.” “Wait!” the man cried. “You ought not to eat me. Let us ask others what they think.” “You may ask three others. ” the tiger said.The good man asked a tree. The tree said, “I give shade (树荫). And yet I am cut down. Let the tiger eat you.”Next, the good man asked a bird. The bird said, “I hurt no one. Yet people hunt and kill me. Let the tiger eat you.”The last one that the good man asked was a road. The road said, “I don’t care if the tiger eats you. People could not get along too well without me. Yet all day and all night people step on me without even a ‘thank you’.”The tiger was ready to eat the good man. Just then a dog came by. “What is happening?” asked the dog. The man told the dog th e whole story.“I don’t understand,” said the dog. “The tiger wants to eat you because you put him in a cage?”“No, no,” said the man. “Some other men put him in a cage.”“Oh,” the dog said. “He is going to eat you because you do not have a cage.”“Silly dog!” the tiger cried. “Don’t you understand? I was in the cage. This man let me out.”“Oh, I see,” the dog said. “When the man was in the cage, you let him out.”“I was in the cage!” the tiger cried. “In this way!” with that, he jumped back into the cage.At once, the dog closed the door of the cage. “Oh,” the dog laughed. “At last I understand!”The good man and the dog walked off. The tiger looked sad in the cage. If he waited long enough, perhaps another good man would come by.32. When the tiger saw the man, he began to cry, because _____________.A. he wanted the man to help him out of the cageB. he wanted to eat the manC. he wanted to eat the dogD. he wanted to eat the bird33. The tree ____________ with the tiger because _______ to the tree.A. agreed; humans were kindB. agreed; humans were not kindC. disagreed; humans were kindD. disagreed; humans were not kind34. The bird let the tiger eat the man because __________.A. people helped birdsB. it liked tigersC. it liked the manD. people hunted and killed him35. What happened to the tiger at last?A. The dog agreed that the tiger could eat the good man.B. The tiger jumped back into the cage and was closed in the cage again.C. The tiger ate the good man and the dog.D. The tiger made friends with the good man and the dog.DEdith Cavell was born in a little English village. She was a clever, hard-working girl and did well at school, especially in music and French. After she left school, her first job was to take care of the children of a rich family in Belgium（比利时）. The language they spoke was French, so she found that her school studies were useful. She could understand them easily, at the same time she taught the children to speak English and play the piano.After hearing that her father was seriously ill, Edith returned home to look after him. She then decided to become a nurse. Afterwards for five years she worked in an English hospital where she proved to be highly professional（专业的）at her job.A Belgian doctor was so impressed（印象深的）that he invited her to his country to organize a training school for nurses. The First World War (第一次世界大战) broke out in 1914 and Edith Cavell’s school of nursing became a hospital. She stayed th ere to look after the sick and wounded soldiers (伤员). Edith treated them with kindness. Between November 1914 and August 1915 she secretly helped about 200 wounded soldiers and prisoners (囚犯) escape from the Germans. Later the German army found out what Edith had done and they arrested her. Finally, the Germans killed her, but they could not kill her memory. A tall statue（雕塑）has been built in Trafalgar Square, London, in honor（纪念）of the brave English nurse.36. Edith Cavell was from __________.A. FranceB. EnglandC. BelgiumD. Germany37. Edith Cavell’s first job was to __________.A. teach FrenchB. look after the children of a rich familyC. teach EnglishD. look after the sick and wounded soldiers38. Why did Edith return home from Belgium?A. Because she found work in an English hospital.B. Because she organized a training school for nurses.C. Because the First World War broke out.D. Because her father was seriously ill.39. What’s the Chinese meaning of “kill her memory” in this passage?A. 杀死她B. 使她失去记忆C. 抹去对她的记忆D. 摧残她40. According to the passage, which of the following is TRUE?A. Edith was good at music and German at school.B. Edith was a highly professional doctor.C. Edith was invited to her country to organize a training school for nurses.D. People have built a tall statue in honor of Edith.2012—2013年第二学期中考二模试卷第II卷(非选择题共45分)四、单词拼写(共10小题，每小题1分，满分10分)41. I like _______________ (冬天) best because I am fond of skating.42. On my __________ (第九) birthday, I got a computer from my aunt.43. Red-crowned cranes look ______________ ( 更漂亮 ) than seagulls.44. Mr Dong _____ ( 想念 ) his old friends very much because they have moved to places far away.45.Doing lots of listening practice is one of the ____(秘诀) of becoming a good English learner.46. The fans gathered around the ____________ in order to get their signatures. ( 冠军)47. Are you afraid of going out at night by __________, boys? (你自己)48. Don’t drink the ____________ water. It w ill make you ill. ( 污染 )49. Every time you answer a question ___________, you will get a point.50. Mom, I’m so _____________. Can I have something to drink?五、翻译句子（15分）51. 我工作地如此努力是因为我希望这次演出圆满成功。
江苏省苏州市吴江区青云中学2024年中考英语仿真试卷含答案
江苏省苏州市吴江区青云中学2024年中考英语仿真试卷含答案注意事项：1．答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。
2．回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案标号。
回答非选择题时，将答案写在答题卡上，写在本试卷上无效。
3．考试结束后，将本试卷和答题卡一并交回。
Ⅰ. 单项选择1、— The food looked bad, but it ________ OK.—So we can’t judge a man by his appearance.A．is tasted B．tasted C．was tasted D．taste2、—How do you feel about people who keep you ____?—They drive me ____.A．wait; excited B．to wait; fun C．waiting; mad D．waiting; happy3、---- Michael Jackson is a giant and a legend in the music industry.---- ______. I am a huge fan of him.A．Forget it B．Wonderful C．Y ou bet D．Me too4、Everyone except Tom and Jim _______ going to visit some friends in Shenzhen.A．is B．are C．am D．be5、The two buildings _____ in a very traditional style. Many visitors were interested in them.A．built B．were built C．are building D．will build6、I have some problems with my health. Can you give me some _______?A．advice B．messages C．suggestion D．information7、—Daniel, do you know you got a full mark in the math test?—Really? I didn’t know anything about it you told me.A．after B．since C．until D．when8、—Who’s singing in the next room?— It ____ be her . She has gone to New York.A．can’t B．must C．shouldn’t D．can9、---I saw Kevin in the supermarket this morning.---No, it him. He moved to Canada last week.A．can be B．must be C．can't be D．mustn’t be10、.—Jack, , or you will get heavier. —Ok, I will have a try.A．doesn't play sports any more B．doesn't eat so much meatC．don't play sports any more D．don't eat so much meatⅡ. 完形填空11、When I was in college, a white cat liked to show up from time to time on our campus(校园)．It is clear that he was astray(流浪的) 1 because he looked thin and weak．Students would play with him after class and 2 him all kinds of food．The school didn’t say 3 about the cat for a long time．But one day, we were told that one of our fellow students had an infectious (传染性的) disease and that the cat was 4 the source(源头)．After that, we didn’t allow 5 any stray animals on campus．The school started to make efforts to keep animals 6 campus as well．7 we were not allowed to feed the white cat, it was hard for him to find food on the street．He became weak and8 ．But while the rest of us ignored the cat, a security guard at our school decided to 9 the responsibility(责任) of caring for him．He 10 the cat to an animal doctor for a health check．He then went to a nearby supermarket and bought food 11 the cat, as well as a small bed for him to sleep in．He made sure the cat was healthy and comfortable．12 the man did seemed like a small effort to some people, but he 13 his job—his only source of income—just to feed a tiny cat who no one else 14 ．It was a very heartwarming thing to see．All lives are equal．Everyone with a heart 15 love are those who truly understand the true meaning of life．Everyone makes every effort to help stray animals so that kindness goes a long way．1．A．animal B．boy C．cat D．dog2．A．afforded B．borrowed C．cooked D．fed3．A．anything B．everything C．nothing D．something4．A．politely B．possibly C．properly D．peacefully5．A．greeting B．meeting C．touching D．playing6．A．out B．into C．on D．off7．A．Although B．Since C．Whenever D．Whether8．A．funny B．happy C．lucky D．skinny9．A．put on B．take on C．turn on D．try on10．A．brought B．carried C．took D．got11．A．at B．for C．to D．with12．A．What B．Which C．That D．Where13．A．lost B．refused C．risked D．warned14．A．cared for B．looked for C．left for D．stood for15．A．lack of B．full of C．known for D．tired outⅢ. 语法填空12、Melbourne is in Australia. It is a beautiful city1．huge gardens, great parks and many2．(amaze) buildings.Many people came to visit it every year.Melbourne is also3．ancient city in Australia. It has an interesting history of more than 170 years. The first people came in 1835,and in the 1850s,gold 4．(discover). Because of this, Melbourne became a very rich city. Many new buildings were built at that time.And today, Melbourne is one of the world’s 5．(great) cities. It is known 6．its 7．(beautiful) and its famous universities. It is also Australia’s top city for8．(sport).Many of them are very popular. For example, young people are mad 9．soccer here. In 1956,the Olympic Games came to this city, and for the first time they were showed live on TV around the world.Melbourne is a nice place and you can always have great10．here.Ⅳ. 阅读理解A13、1．How many days will the show last?A．11 days B．10 days C．9 days D．8 days2．If the show begins at 10 am, it will probably finish at _____.A．2 pm B．7 pm C．11:30 am D．11:45 am3．A couple and their two children will spend _____ if they watch the show at 2 pm.A．$140 B．$120 C．$100 D．$854．What will happen to a latecomer?A．He or she can still watch the whole show.B．He or she can only enter during a break.C．He or she won’t have a proper break.D．He or she will fail to enter the theatre.5．_____ will not be allowed in.A．TeenagersB．Old people over 60C．Families with three childrenD．Children under 3B14、Are you a gourmand(美食主义者)? Do you want to eat every delicious food in the world? Then do you watch the popular program?“A Bite of China(舌尖上的中国)” is a documentary on Chinese delicious food which has been broadcasted by Chinese central television. Is there any holiday that isn't celebrated with a special festival food? Here are several traditional Chinese foods:Eggs hold a special meaning in many cultures, and China is no exception(例外). The Chinese believe eggs mean producing something new. After a baby is born, parents may hold a "red egg and ginger party," where they pass out eggs to announce the birth. In some areas of China the number of eggs represents the sex of the child, for example, an even number(1,3,5,---) for a girl, and an odd number(2,4,6---) if a boy has been born.Noodles are a symbol of longlife in Chinese culture. They are as much a part of a Chinese birthday celebration as a birthday cake with lit candles is in many countries. Since noodles represent long life, it is considered very unlucky to cut it off.Although westerners sometimes may be very sorry to see fish lying on a plate, in China a whole fish is a symbol of richness. In fact, at a party it is traditional to serve the whole fish last, pointed toward the valued guest. Fish also has a special meaning because the Chinese word for fish, yu, sounds like the word for richness or plenty, and it is believed that eating fish will help your wishes come true in the year to come.A very popular dish during the Dragon Boat Festival is Zongzi. This tasty dish is made of rice dumplings with meat, peanut or other delicious food in bamboo leaves. The tradition of Zongzi is meant to remind us of a great man, Qu Yuan. The 50-minute program tries to bring something new by presenting more cultural elements(元素),such as eating habits and the quality of eating.1．A bite of China is _______________.A．a book B．a documentaryC．a guide book D．a newspaper2．How many kinds of traditional food are mentioned in the passage?A．two B．threeC．four D．five3．A girl has been born in Mr. Li’s home. How many red eggs may he pass out to his friends according to Chinese tradition?A．two eggs B．noneC．three eggs D．six eggs4．Which of the following is RIGHT according to the passage?A．We can cut birthday noodles off in China if we think they are too long.B．It is impolite to server a whole fish last at a party in China.C．The program lasts for one hour.D．There are many kinds of Zongzi during the Dragon Boat Festival.5．What does the writer mean in the last paragraph?A．The writer thinks the program is too long.B．The writer thinks the program has more meanings inside than the story itself.C．The writer thinks everyone can have a good eating habit after watching the program.D．The writer thinks the program has brought many kinds of delicious food to us.C15、When you cough or sneeze, please turn your head away from others and cover your mouth with the full part of your hand. And then, you should say, “Excuse me.” This is a rule I set for my studentsIt is so simple, but many kinds have never been told to do this. In fact, I notice adults cough and sneeze in public without putting a hand over the mouth. I hate traveling by subway in New York during cold and flu season, because it is certain that someone is going to stand right behind me and cough or sneeze on my neck.One important thing I point out to the kids is that after they sneeze or cough on their hand, they should wash their hands as soon as possible. Or they will be passing those germs (病菌) along to everything and everyone they touch.In order to help the kids remember this rule, I tell them about an old story. It says that when you sneeze, evil spirits (幽灵) jump into your b ody. If you don’t cover your mouth, the spirits will enter, but if you cover your mouth, you will keep them out, We say “God bless you” (上帝保佑你) when someone sneezes, and in Germany you should say “Gesundheit” (祝你健康). That means “Good health to you.” Both expressions are said just in case you didn’t cover your mouth in time and the spirits were able to enter your body. The kids love finding out the origins (起源) of these expressions and it encourages them to put the advice to use more often.1．What does the u nderline word ‘this” mean?A．Don’t cough or sneeze in front of people.B．Don’t stand beside someone who coughs or sneezes.C．Cover your mouth when coughing or sneezing and say sorry.D．Many people cough or sneeze on the underground train.2．After coughing or sneezing on their hand, students are advised to ______.A．say “God bless you” B．wash their hands as soon as possibleC．go to see a doctor as soon as possible D．go home and have a good rest3．Why does the writer hate traveling by subway in New York during cold and flu season?A．Because many people cough or sneeze on the underground train.B．Because it’s too crowded.C．Because people like coughing or sneezing there.D．Because there are too many germs.4．According to the article, the writer would like the kids ______.A．to be polite to adults B．to be in better healthC．to do well in exams D．to have good manners5．From the passage, we can infer (推断) that the writer must be ______.A．a reporter B．a doctor C．a teacher D．a studentD16、News ReviewLearn to swim. Do you want to study in Tsinghua(清华) University? If your answer is yes, you need to be able to swim or get prepared to learn to swim from now on. Recently, the university has made a new rule that students must pass the50-meter swimming test to finish school. This rule has been brought into a broad discussion. Some agree with it because it can help students do more sports, but others disagree. They believe that it doesn’t respec t their personal wishes. It shouldn’t be a must for graduation. What’s your opinion?______________________“Thomas Edison was an great inventor in the US. When he was seven, her mother caught a serious illness so she had to receive an operation（手术）in time. However, the room was too dark. So Edison brought a mirror and an oil lamp to light the room. How smart he was.” This story comes from the Chinese textbook forGrade-two students in the primary school. But recently, many people believe it was not true because the first operation about that illness in the world took place in 1886. Edison reached seven years old in 1854. Some people wonder why the story appears in the textbook. Maybe that’s because the editor(编辑) cares too much about the educational meaning without checking whether it was true or not.Paper books never disappear With the development of E-books, many people prefer to read on the Internet. Some experts worry that paper books may die down as time goes by. However, a recent study has shown a rising enthusiasm of paper books all over the world, especially among young people of 16 to 24. Just in last month, 7% more paper books have been sold in the UK and E-book sale has fallen in a row by 4% in total over the month. Also, a survey made by Voxburner says that 60% of 16-to-24-year-olds prefer paper books. The most popular reasons given were, “ I love the feeling of holding the books and the smell of the paper, and I won’t end up with headache and sore eyes.1．According to the first paragraph, students in Tsinghua University must ____________ to finish school.A．do some sports B．pass a swimming test C．learn to discuss D．respect each other2．The blank in the second paragraph should be filled in “ _____________.”A．Thomas Edison’s childhood B．Some good stories in the textbookC．Textbooks are not true D．Educational meaning in Edison’s story3．The Chinese meaning of the underlined word “enthusiasm” in this passage is “________”.A．热情B．厌恶C．危机D．成本4．To explain why paper books never disappear, the writer does all the following things EXCEPT___________.A．list some numbers B．give us some reasonsC．show a survey result D．tell a story of his ownE17、A famous study was done in a school by a professor from a university. At the start of the school year, the teachers were given the names of five children. They were told that these five were the most excellent students in the class. But the fact was that these students were only average，and they were not the best students at all. Well, guess what? At the end of the year, all the five average students scored among the highest in the class.What made these average students change so much to become top students？The only difference was the change in their teachers’ attitude. Because the te achers believed that these five kids were the top students，they expected more from them. And so these five average students began to believe and expect more from themselves. So they worked harder to do as well as they could.Do you know why? If you expect the best from people, they’ll usually want to give you their best. A great leader said, “Treat a person just how he appears to be on the outside, and you’ll make him even worse. But treat a person like he’salready a success，and you’ll help make him the best he can be.”Like the true story of 7-year-old Johnny, his teacher got so angry with him that one day she said，“Johnny，you’re the naughtiest boy in this class. I’m sure you’ll never change.” The next year Johnny had a new teacher. And on the first day of class，she met with Johnny after school and said，“Johnny, I’ve heard a lot about you! But do you know that I don’t believe a word of it.” And every day after that, this new teacher treated Johnny as if he was one of the smartest students even when Johnny did naughty things. Later on, Johnny became a school leader. Because that’s the power of our belief and attitude toward children.1．The professor started his research by _______.A．teaching the five children himselfB．asking the five children to find a new teacherC．telling the five students to work harder than ever beforeD．telling the teacher the five students were the best in the class2．The five average students became top students mainly because of ________.A．the professor’s study B．the teachers’h ard workC．the change in the teachers D．the change in the teachers’ attitude3．What does the passage mainly tell us？A．Attitude and belief can change a person.B．Only teachers can make you a top student.C．A professor’s study can help you score highest.D．If you want to get more，you should have new teachers.F18、Advertising means to draw people’s attention to something. It is a central feature of our lives. Sales depend upon it. So does our knowledge of what is available. Read the following adverts and see how much you understand them. Secure: 安全的；牢固的mowing: 割草1．About what they advertise, we can safely say that __________.A．Adverts I and Ⅲ advertise two productsB．Adverts Ⅲ and IV advertise servicesC．Adverts II and Ⅲ advertise beliefsD．Adverts I and IV provide jobs2．From the above material we know ______of the adverts are trying to be price competitive.A．1. B．2. C．3. D．4.3．If you want to repair your house, you can call__________.A．4442-37058 B．0732-605-041 C．232-567 D．150-0004．It’s clear that _________.A．a newspaper uses one of them in its own newspaperB．all of them advertise for the largest number of customersC．all of them list the pricesD．all of them have included contact information5．From these examples of adverts, we can know that __________.A．some adverts are provided by newspapers free of chargeB．newspaper is the most common means of advertisingC．advertising is an expensive businessD．adverts should attract customersⅤ.书面表达19、书面表达如今的交通已经成了许多城市的主要困扰。
吴江中考语文二模试卷
一、基础知识（共20分）1. 下列词语中，加点字的注音全都正确的一项是（）A. 沉默（mò）骄傲（jiāo）舒适（shū）B. 灵敏（mǐn）挑剔（tiāo）欣慰（wèi）C. 恬静（tián）起伏（fú）轻蔑（miè）D. 恐惧（jù）翱翔（áo）悲怆（chuàng）2. 下列句子中，没有语病的一项是（）A. 通过这次活动，我们深刻认识到，要想实现我们的目标，必须克服困难，勇于拼搏。
B. 为了保护环境，我们应该从现在做起，从小事做起，如不乱扔垃圾、不使用一次性筷子等。
C. 纵观历史，我们可以发现，每一个伟大的人物背后，都有无数默默奉献的普通人。
D. 他的文章写得很精彩，读起来让人心情舒畅，仿佛置身于美丽的画卷之中。
3. 下列各句中，加点词语运用不正确的一项是（）A. 这个方案得到了大家的一致赞同，可以说群策群力，效果显著。
B. 她的歌声婉转动听，犹如夜莺在枝头欢唱。
C. 面对突如其来的疫情，我们要保持冷静，科学防控，共同抗击。
D. 他的书法功底深厚，每一笔都遒劲有力，仿佛能跃然纸上。
二、阅读理解（共30分）（一）现代文阅读（共15分）阅读下面的文章，完成下列小题。
我心中的歌——读《平凡的世界》有感李晓华在我心中，有一首歌，它唱响了我的人生。
这首歌，就是路遥先生的《平凡的世界》。
《平凡的世界》讲述了一个发生在黄土高原的故事，主人公孙少平，一个平凡而又不平凡的青年。
他生活在贫穷落后的农村，却有着不平凡的梦想。
他经历了生活的艰辛，却始终坚守着自己的信念，努力拼搏，最终实现了自己的梦想。
我喜欢这本书，因为它让我看到了平凡中的伟大。
孙少平虽然生活在社会的底层，但他却有着一颗追求美好生活的决心。
他用自己的双手，一点一滴地改变着自己的命运。
他的故事让我明白，只要我们努力拼搏，就一定能够改变自己的命运。
这本书还让我看到了人性的光辉。
2023年江苏省苏州市吴江区中考二模物理试卷(word版)
2023年江苏省苏州市吴江区中考二模物理试卷(word版)一、单选题(★★) 1. 学习物理要注意联系生活实际，观察物理现象，以下说法符合实际的是（）A．人体正常体温为 39℃B．家用电冰箱正常工作时的电流约为5AC．一节新干电池电压为 2V D．人体的安全电压不高于 36V(★★★) 2. 如图MN是介质A和B的分界面，其中之一是空气，一束光从介质A入射到介质B，折射角为（）A．30°B．40°C．50°D．60°(★★★) 3. 关于密度，以下说法正确的是（）A．一杯水喝去一半后，密度变小B．密度是物质的特性，与其质量、体积无关C．冰熔化成水，密度没有发生变化D．玻璃打碎了，密度会变小(★) 4. 最先发现电流与电压、电阻之间关系的科学家是（）A．欧姆B．焦耳C．法拉第D．奥斯特(★★) 5. 如图所示，“华龙一号”是我国具有自主知识产权的第三代核反应堆，设置了完善的严重事故预防和缓解措施，使核能的利用更安全。
下列关于核能说法正确的是（）A．核能可直接转化为电能B．核反应堆是可控的链式反应装置C．核能是一种可再生的能源D．核能是原子内部的化学反应释放出来的能量(★★) 6. 小芳步行的部分信息如图，其中的配速是指步行1km所需的时间，根据信息可推断整个过程小芳（）A．平均每走一步通过的路程约为0.5mB．每小时步行11.6kmC．平均速度约为5.17km/hD．步行5km用时11.6min(★★★)7. 在干燥的冬天，接触金属水龙头时，经常会突然感到一瞬间的发麻，犹如“触电”一般，下列措施中不能有效防止此“触电”发生的是（）A．室内用加湿器加湿B．常用手触摸木制桌椅C．勤洗手保持手部湿润D．地毯中夹杂导电纤维(★★) 8. 如图，在老师的指导下，小明成功制作了一个简易电动机，通电后，电动机转了起来。
若要改变电动机的转动方向，可以让小明（）A．改变通电电流的大小B．将电源的正负极对调C．换用磁性更强的磁铁D．增加电动机的线圈匝数(★★) 9. 某同学将一质量为600g的金属块轻轻放入盛满盐水的容器中，溢出了100mL的盐水，则金属块受到的盐水的浮力可能是（g取10N/kg）（）A．0.8N B．0.9N C．1.0N D．1.1N(★★★) 10. 将蜡烛放在如图所示位置，能通过凸透镜成倒立、缩小的像。
江苏省苏州市青云中学九年级数学第二次模拟试题
吴江区青云中学2014～2015学年九年级数学二模试卷满分：130分考试时间：120分钟一、选择题：本大题共10小题，每小题3分，共30分1．－15的倒数是（）A．5 B．－5C．15D．－152．下列图形中，是轴对称图形的是（）A．B．C．D．3．如图，直线l1∥l2，则∠α为（）A．150°B．140°C．130°D．120°4．一个多边形的每个内角均为140°，则这个多边形是（）A．七边形B．八边形C．九边形D．十边形5．如图，在△ABC中，AE交BC于点D，∠C＝∠E，AD＝3，BD＝5，DC＝2，则DE的长等于（）A．152B．103C．65D．566．在“大家跳起来”的学校跳操比赛中，九年级参赛的10名学生成绩统计如图所示，对于这10名学生的参赛成绩，下列说法中错误的是（）A．众数是90分 B．中位数是90分 C平均数是90分 D．极差是15分7．下列图中阴影部分的面积与算式2131242-⎛⎫-++⎪⎝⎭的结果相同的是（）8．在平面直角坐标系中，已知点A(0，2)，⊙A的半径是2，⊙P的半径是1，满足与⊙A及x轴都相切的⊙P有（）A．1个B．2个C．3个D．4个9．对于正数x，规定f（x）＝1xx+，例如()333134f==+，111313413f⎛⎫==⎪⎝⎭+，计算111201520142013f f f ⎛⎫⎛⎫⎛⎫+++ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭…()()()1112332f f f f f ⎛⎫⎛⎫++++++ ⎪ ⎪⎝⎭⎝⎭…()()()201320142015f f f +++的结果是（ ）A ．2014B ．2014.5C ．2015D ．2015.5 10.在一张直角三角形纸片的两直角边上各取一点，分别沿斜边中点与 这两点的连线剪去两个三角形，剩下的部分是如图所示的直角梯形， 其中三边长分别为2、4、3，则原直角三角形纸片的斜边长是（ ） A ．10 B ．45 C ．10或 45 D ．10或217二、填空题（本大题共8小题，每小题3分，共24分） 11.人的眼睛可以看见的红光的波长是0.000077 cm ，请把这个数用科学记数法表示，其结果是_______cm.12.函数23x y x +=-中自变量x 的取值范围是_______．13.分解因式：a 3－2a 2b ＋ab 2＝_______．14．圆锥底面圆的半径为3m ，其侧面展开图是半圆，则圆锥的母线长为_______m.15.如图，在△ABC 中，A 、B 两个顶点在x 轴的上方，点C 的坐标是(－1，0).以点C 为位似中心，在x 轴的下方作△ABC 的位似图形△A'B'C ，并把△ABC 的边长放大到原来的2倍．设点B 的对应点B'的横坐标是2，则点B 的横坐标是_______．16.如图，在梯形ABCD 中，AD ∥BC ，对角线AC ⊥BD ，且AC ＝12，BD ＝5，则这个梯形中位线的长等于_______．17．已知M 、N 两点关于y 轴对称，且点M 在双曲线y ＝12x上，点N 在直线y ＝x ＋3上，设点M 的坐标为（a ，b ），则y ＝－abx 2＋(a ＋b)x 的顶点坐标为_______．18．如图，已知正方形ABCD 的边长为1，以顶点A 、B 为圆心、1为半径的两弧交于点E ，以顶点C 、D 为圆心、1为半径的两弧交于点F ，则EF 的长为_______．三、解答题：本大题共11小题，共76分，解答题应写出必要的计算过程、推理步骤或文字说明19．（本小题满分5分）计算：()()32cos60332π-︒--+---．20．（本小题满分5分）先化简()222211121a a a a a a +-÷++--+，然后a 在－1、1、2三个数中任选一个合适的数代入求值．21.（本小题满分5分）求不等式组()3112323x xx⎧+>-⎪⎨-+≥⎪⎩的整数解．22．（本小题满分6分）如图，在航线l的两侧分别有观测点A和B，点A到航线l的距离为2 km，点B 位于点A北偏东60°方向且与A相距10 km处，现有一艘轮船从位于点B南偏西76°方向的C处，正沿该航线自西向东航行，5 min后该轮船行至点A的正北方向的D处．(1)求观测点B到航线l的距离；(2)求该轮船航行的速度．(结果精确到0.1 km/h，参考数据：3≈1.73， sin76°≈0.97， cos76°≈0.24， tan76°≈4.01)23.（本小题满分6分）“三等分任意角”是数学史上一个著名问题，已知一个角∠MAN，设∠α＝13∠MAN．(1)当∠MAN＝69°时，∠α的大小为_______；(2)如图，将∠MAN放置在每个小正方形的边长为1 cm的网格中，角的一边AM与水平方向的网格线平行，另一边AN经过格点B，且AB＝2.5 cm现要求只能使用带刻度的直尺，请你在图中作出∠α，并简要说明作法（不要求证明）________________________________________________________．24.（本小题满分7分）某学校为了提高学生学科能力，决定开设以下校本课程：A．文学院，B．小小数学家，C小小外交家，D．未来科学家．为了解学生最喜欢哪一项校本课程，随机抽取了部分学生进行调查，并将调查结果绘制成了两幅不完整的统计图，请回答下列问题：(1)这次被调查的学生共有_______人；(2)请你将条形统计图补充完整；(3)在平时的小小外交家的课堂学习中，甲、乙、丙、丁四人表现优秀，现决定从这四名同学中任选两名参加全国英语口语大赛，求恰好同时选中甲、乙两位同学的概率（用树状图或列表法解答）．①②25．（本小题满分7分）在我校一年一度的校园文化艺术节中，数学组的传统项目是设计轴对称图案和七巧板创意拼图.初二年级将52位报名的同学分成A、B两组进行现场设计，学校要求A组完成150份轴对称图案，B组完成200份七巧板拼图.（假定A、B组同时进行，整个过程不休息.一副作品可由一人独做也可多人合做或他人续做，且每幅作品制作过程是连续的.）（1）根据历年数据统计，一人设计一副轴对称图案约用时25h，一副七巧板拼图约用时12h，应如何分配A、B两组的人数，使活动持续时间最短？（2）在按（1）分配的人数开始1h后发现，设计一副轴对称图案用时仍为25h，而设计一副七巧板实际用时23h，于是从A组抽调6名同学加入B组继续设计，求整个活动实际所持续的时间．26．（本小题满分8分）如图，已知MN是⊙O的直径，直线PQ与⊙O相切于点P，NP平分∠MNQ．(1)求证：NQ⊥PQ；(2)若⊙O的半径R＝2，NP＝23，求NQ的长．27.（本小题满分8分）如图，在平面直角坐标系中，直线y＝2x＋b(b<0)与坐标轴交于A．B两点，与双曲线y＝kx(x>0)交于点D，过点D作DC⊥x轴，垂足为C，连接OD．已知△AOB∽△ACD，相似比为12．(1)如果b＝－2，求k的值；(2)试探究k与b的数量关系，并直接写出直线OD的解析式．28．（本小题满分9分）如图，在平面直角坐标系中，矩形OABC的边OA在y轴的正半轴上，OC在x轴的正半轴上，OA＝2，OC＝3．过原点O作∠AOC的平分线交AB于点D，连接DC，过点D作DE⊥DC，交OA于点E．(1)求过点E、D、C的抛物线的解析式；(2)将∠EDC绕点D按顺时针方向旋转后，角的一边与y轴的正半轴交于点F，另一边与线段OC交于点G，如果DF与(1)中的抛物线交于另一点M，点M的横坐标为65，求OG的长；(3)对于(2)中的点G，在位于第一象限内的该抛物线上是否存在点Q，使得直线GQ与线段AB的交点P与点C、G构成的△PCG是等腰三角形？若存在，请求出点Q的坐标；若不存在，请说明理由．29．（本小题满分10分）在平面直角坐标系中，抛物线y=x2+（k﹣1）x﹣k与直线y=kx+1交于A，B两点，点A在点B的左侧．（1）如图1，当k=1时，直接写出A，B两点的坐标；（2）在（1）的条件下，点P为抛物线上的一个动点，且在直线AB下方，试求出△ABP面积的最大值及此时点P的坐标；（3）如图2，抛物线y=x2+（k﹣1）x﹣k（k＞0）与x轴交于点C、D两点（点C在点D的左侧），在直线y=kx+1上是否存在唯一一点Q，使得∠OQC=90°？若存在，请求出此时k的值；若不存在，请说明理由．参考答案1—10 BDDCB CBDBC11．7.7×10－5 12．x>3 13．a(a－b)2 14．6 15．－2.516．6.5 17．（3，92） 18．3－1 19．12720．31aa+-5．21．－2<x≤32其整数解为－1，0，1．22．(1)3 km (2)40.6 km/h.23．(1) 23°(2)如图，让直尺有刻度的一边过点A，设该边与过点B的竖直方向的网格线交于点C，与过点B的水平方向的网格线交于点D；保持直尺有刻度的一边过点A，调整点C、D的位置，使CD＝5 cm，画射线AD，此时∠MAD即为所求的∠α．24．(1)200(人)．(2)60(人)．(3)1 625．26．(1)略(2)3．27．(1)12．(2)y＝43x28．(1)y＝－56x2＋136x＋1. (2)1．(3)Q(2，2)或Q（1，73）或Q(125，75)．29．（1）当k=1时，抛物线解析式为y=x2﹣1，直线解析式为y=x+1．联立两个解析式，得：x2﹣1=x+1，解得：x=﹣1或x=2，当x=﹣1时，y=x+1=0；当x=2时，y=x+1=3，∴A（﹣1，0），B（2，3）．（2）设P（x，x2﹣1）．如答图2所示，过点P作PF∥y轴，交直线AB于点F，则F（x，x+1）．∴PF=y F﹣y P=（x+1）﹣（x2﹣1）=﹣x2+x+2．S△ABP=S△PFA+S△PFB=PF（xF﹣xA）+PF（xB﹣xF）=PF（xB﹣xA）=PF∴S△ABP=（﹣x2+x+2）=﹣（x﹣）2+当x=时，yP=x2﹣1=﹣．∴△ABP面积最大值为，此时点P坐标为（，﹣）．（3）设直线AB：y=kx+1与x轴、y轴分别交于点E、F，则E（﹣，0），F（0，1），OE=，OF=1．在Rt△EOF中，由勾股定理得：EF==．令y=x2+（k﹣1）x﹣k=0，即（x+k）（x﹣1）=0，解得：x=﹣k或x=1．∴C（﹣k，0），OC=k．假设存在唯一一点Q，使得∠OQC=90°，如答图3所示，则以OC为直径的圆与直线AB相切于点Q，根据圆周角定理，此时∠OQC=90°．设点N为OC中点，连接NQ，则NQ⊥EF，NQ=CN=ON=．∴EN=OE﹣ON=﹣．∵∠NEQ=∠FEO，∠EQN=∠EOF=90°，∴△EQN∽△EOF，∴，即：，解得：k=±，∵k＞0，∴k=．∴存在唯一一点Q，使得∠OQC=90°，此时k=。
江苏省苏州市吴江区青云中学中考化学二模试卷
江苏省苏州市吴江区青云中学中考化学二模试卷一、单项选择题（本题包括25题，每题2分，共50分．每题只有一个选项符合题意．）1．（2分）11月15日国务院总理李克强主持召开国务院常务会议，审议通过了《“十三五”生态环境保护规划》．下列做法有利于环境保护的是（）A．田间焚烧秸秆，净化环境B．生活污水直接排放河流C．经常使用一次性筷子，塑料袋等D．布袋购物，减少“白色污染”2．（2分）下列变化属于物理变化的是（）A．空气液化B．葡萄酿酒C．光合作用D．煤油燃烧3．（2分）下列属于纯净物的是（）A．生理盐水B．黄铜C．液氧D．石油4．（2分）塑料矿泉水瓶底部常见的可回收标志是（）A．B．C．D．5．（2分）下列物质由原子直接构成的是（）A．氯化钠B．水银C．酒精D．氧气6．（2分）汽车自燃时，下列措施正确的是（）A．加速行驶，让风把火吹灭B．打开汽车空调，使温度降低至着火点以下C．小火时，用灭火器对准火源喷灭火剂D．把引擎盖、车窗全部打开7．（2分）下列食品中富含蛋白质的是（）A．菠菜B．米饭C．鲤鱼D．豆油8．（2分）镁带燃烧反应的化学方程式为2Mg+CO2═2MgO+C．该反应属于（）A．分解反应B．化合反应C．复分解反应D．置换反应9．（2分）下列说法正确的是（）A．排水法收集氧气，要等导管口气泡均匀连续冒出时再开始收集B．保持空气化学性质的最小粒子是空气分子C．检验氢氧化钠与氯化铵反应生成的气体可用湿润的蓝色石蕊试纸D．不同种元素最本质的区别是中子数不同10．（2分）归纳总结是学习化学的基本方法，以下归纳总结都正确的是（）A．物质的性质决定用途①浓硫酸具有脱水性常用于干燥气体②N2具有稳定性可用作焊接金属保护气B．物质的鉴别①可用点燃的方法鉴别棉线和羊毛线②可用氢氧化钠溶液区分硝酸铵和硝酸钾C．物质的构成①分子、原子、离子是构成物质的基本微粒②原子和离子不能相互转化D．化学符号中“2”的意义①CO2：两个氧原子②Mg2+：一个镁离子带两个单位正电荷11．（2分）下列实验操作中，正确的是（）A．滴加试剂B．振荡试管C．氧气验满D．测酸碱度12．（2分）某同学要配制50g质量分数为14%的氯化钠溶液，下列关于配制该溶液的说法不正确的是（）①若用氯化钠固体配制，需称取氯化钠固体7.0g②选用200ml量筒量取所需水的体积③实验中用到的玻璃仪器有烧杯、量筒、玻璃棒和试剂瓶④用量筒量取水时，俯视读数，配得溶液的溶质质量分数偏小．A．①③B．②④C．①②D．②13．（2分）下列说法中正确的是（）A．铁制品在潮湿的空气中不易生锈B．“真金不怕火炼”说明黄金的熔点高C．铝的金属活动性比铁强，则铝制品比铁制品更容易锈蚀D．不锈钢的抗腐蚀性强于纯铁，硬度大于纯铁14．（2分）下列事实的解释合理的是（）事实解释A淀粉没有甜味淀粉不属于糖类B打开汽水瓶盖时，汽水会自动喷出来压强减小，气体在水中的溶解度变小C洗洁精可以去除油污洗洁精溶解了油污D过滤时使用玻璃棒玻璃棒起搅拌作用A．A B．B C．C D．D15．（2分）用浓硫酸、水、锌粒等药品制取氢气并检验氢气的纯度，下列操作或装置正确的是（）A．读取液体体积B．稀释浓硫酸C．制取氢气D．检验氢气纯度16．（2分）科学家发现，通过简单的化学反应，可以将树木纤维素转变成超级储能装置．如图是该反应的微观示意图，下列说法不正确的是（）A．该反应前后原子的种类、个数均保持不变B．W物质中碳元素的质量分数为75%C．反应生成的Z、W两物质的分子个数比为2：3D．参加反应的X、Y的质量比等于生成的Z、W的质量比17．（2分）按下列顺序，不外加试剂就能将①CuSO4②NaNO3③MgCl2④NaOH这四种溶液鉴别出来的是（）A．①②④③B．④①③②C．①④③②D．③①④②18．（2分）推理与归纳是化学学习和研究中常用的思维方法．下列说法正确的是（）A．向一杯久置的NaOH溶液中加入少量稀盐酸，无气泡产生，则说明该溶液没有变质B．中和反应生成盐和水，则能生成盐和水的反应也一定是中和反应C．化合物是由多种元素组成的纯净物，则由多种元素组成的纯净物一定是化合物D．向某溶液中滴加氯化钡溶液，产生白色沉淀，则该溶液一定含SO42﹣19．（2分）下列归纳全部正确的是（）A、实验记录B、生活化学①用量筒量取7.25毫升水②用托盘天平称取9.76g的NaCl固体①将硝酸铵溶于水制作“冷敷包”②人体缺锌易导致侏儒症C、解释说明D、化学原理①稀有气体作保护气，因为其化学性质稳定②波尔多液不能用铁桶盛放，因为其含有CuSO4①酸雨形成的原因CO2+H2O＝H2CO3②铝制品耐腐的原因4Al+3O2＝2Al2O3A．A B．B C．C D．D20．（2分）下列有关实验的叙述错误的是（）A．用pH试纸测定未知溶液的酸碱度时，应将pH试纸预先用水湿润B．实验室用高锰酸钾制取O2，在实验结束时应先将导管移出水面，再停止加热C．稀释浓硫酸时，要把浓硫酸缓缓注入盛有水的烧杯中，用玻璃棒引流并不断搅拌D．在粗盐提纯实验中，待蒸发皿中出现较多固体时，停止加热，利用余热将滤液蒸干21．（2分）某无色溶液中大量存在的离子如图所示，其中X可能是（）A．Ag+B．Fe3+C．Na+D．CO32﹣22．（2分）向一定量稀盐酸中逐滴加入NaOH溶液，下列图象中不正确的是（）A．B．C．D．23．（2分）克拉霉素是一种常用的抗生素，可用于治疗某些病菌引起的扁桃体炎、支气管炎等疾病．克拉霉素的化学式为C38H69NO13，下列说法正确的是（）A．克拉霉素由38个碳原子、69个氢原子、1个氮原子和13个氧原子构成B．克拉霉素不属于有机物C．克拉霉素中N、O元素的质量比为1：13D．克拉霉素由C、H、N、O四种元素组成24．（2分）如图是a、b、c三种物质的溶解度曲线，下列说法正确的是（）A．t1℃时，20g a加入到50g水中，充分溶解后得到70ga的饱和溶液B．t2℃时，a、b、c三种物质的溶解度大小关系是a＞b＞cC．t1℃时a、c两物质的饱和溶液中所含的溶质质量一定相等D．t2℃时，将75g的a饱和溶液降温到t1℃，析出30g晶体25．（2分）为除去下列物质中的杂质（括号内是杂质），下列操作方法正确的是（）选项物质操作方法A NaCl溶液（CuCl2）加入过量的NaOH溶液，过滤A．A B．B C．C D．D二、非选择题（共50分）26．（12分）化学用语是学习化学的重要工具．（1）按要求写出化学符号：①缺元素会导致侏儒症②碳酸钾中的阴离子③两个汞原子④氧化亚铜中铜元素化合价为+1价（2）请用下列字母序号填空a．K2CO3 b．KNO3c．CH4d．Fe2O3e．NaHCO3①可用作发酵粉的是②可以做燃料的物质是③用作复合肥的是④铁锈的主要成分是（3）写出下列反应的化学方程式．①镁带在氧气中燃烧；②工业上用磁铁矿炼铁；③加热高锰酸钾制氧气；④熟石灰和硝酸铵混合加热．27．（9分）合理利用化学知识，生活更科学、更美好．（1）柚子肉质脆嫩，香气浓郁．香气浓郁是因为（用分子的观点解释），柚子皮可以去除冰箱中的异味，说明它具有性．（2）鉴别自来水是软水还是硬水，可加入适量的并搅拌．生活中为降低水的硬度并杀灭水中病菌，常采用的方法是．（3）炒菜时若锅中油不慎着火，可以采取的灭火方法是（写出一种即可）．在燃烧的煤炉中洒少量水，火不但不灭，反而燃烧更旺．这是因为在高温条件下，炭与水蒸气反应生成氢气和一种有毒气体，写出该反应的化学方程式．（4）化学与食品健康有着密切的联系．如图是某芝麻酱说明书，请回答下列问题：①图中未出现的营养素是．②图中属于微量元素的有几种？答：种．③淀粉属糖类，要检验某种食物中是否含有淀粉，通常选用（填试剂名称）滴在食物样品上．28．（9分）以电石渣[主要成分Ca（OH ）2和CaCO3]为原料制备KClO3的流程如图．查阅资料：在75℃左右，氯化步骤中氯气转化成Ca（ClO3）2时发生一系列的反应，其中Cl2与Ca（OH）2反应的总化学方程式可表示为：6Ca（OH）2+6Cl2＝Ca（ClO3）2+5CaCl2+aH2O（1）氯化前，先将电石渣粉碎的目的是．（2）氯化步骤中所得产物氯酸钙Ca（ClO3）2中Cl的化合价为价，a数值为．（3）操作X为．转化步骤中Ca（ClO3）2与KCl反应生成KClO3的化学方程式为．（相关物质的溶解度见下表）物质Ca（ClO3）2CaCl2KClO3KClT℃时溶解度/g209.074.57.334.2（4）对滤渣M的成分进行探究【提出问题】滤渣M中除了电石渣原有的不溶性杂质外，还含有什么物质？【猜想假设】①CaCO3；②Ca（OH）2；③．【实验验证】实验步骤实验现象结论步骤1：取少量滤渣M加入盛水的小烧杯中，搅拌，静置后先加入；观察到现象猜想①不正确步骤2：向小烧杯中继续加入足量的稀观察到现象猜想③正确29．（6分）某学习小组对粗盐中杂质（难溶性和可溶性）的去除展开相关探究．（1）粗盐中难溶性杂质去除的实验步骤为：①溶解，②过滤，③（写操作名称），④计算产率．（2）步骤②中需要用到的玻璃仪器有：玻璃棒、烧杯、（写仪器名称），其中玻璃棒的作用是．（3）【提出猜想】该粗盐中含有难溶性杂质外，是否还含有可溶性杂质？（4）【查阅资料】①粗盐中可能含有镁盐（Mg2+）和硫酸盐（SO42﹣）等可溶性杂质．②一些物质的溶解性表说明：“溶”表示该物质可溶于水，“不”表示该物质不溶于水．③Mg（OH）2为白色物质，不溶于氢氧化钠溶液；BaSO4为白色物质，不溶于盐酸；MgCO3，BaCO3为白色物质都能溶于盐酸．（5）【实验设计】①取少量除去难溶性杂质后的盐，溶于水配成溶液．②取少量所配溶液于试管中，滴加氢氧化钠溶液，产生白色沉淀，继续滴加氢氧化钠溶液，沉淀不溶，说明该盐含有可溶性的盐．③另取少量所配溶液于试管中，滴加氯化钡溶液，产生白色沉淀，再加稀盐酸，沉淀不溶，说明该盐含有可溶性的盐．（6）【实验结论】该盐含有可溶性杂质．其与氢氧化钠溶液反应的化学方程式为．30．（14分）二氧化碳是一种奇妙的气体，在实验室可以很方便的制取。