南京师大附中高三第二次模拟考试

合集下载

南京师范大学附属中学2024学年下学期高三数学试题第二次月考考试试卷

南京师范大学附属中学2024学年下学期高三数学试题第二次月考考试试卷注意事项：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。

一、选择题：本题共12小题，每小题5分，共60分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1．若直线2y x =-的倾斜角为α，则sin 2α的值为（）A ．45B ．45-C ．45±D ．352．设集合{|0}A x x =>，{}2|log (31)2B x x =-<，则（）．A ．50,3AB ⎛⎫= ⎪⎝⎭B ．10,3A B ⎛⎤= ⎥⎝⎦C ．1,3A B ⎛⎫⋃=+∞ ⎪⎝⎭ D ．(0,)A B =+∞3．公元前5世纪，古希腊哲学家芝诺发表了著名的阿基里斯悖论：他提出让乌龟在跑步英雄阿基里斯前面1000米处开始与阿基里斯赛跑，并且假定阿基里斯的速度是乌龟的10倍.当比赛开始后，若阿基里斯跑了1000米，此时乌龟便领先他100米，当阿基里斯跑完下一个100米时，乌龟先他10米，当阿基里斯跑完下-个10米时，乌龟先他1米....所以，阿基里斯永远追不上乌龟.按照这样的规律，若阿基里斯和乌龟的距离恰好为0.1米时，乌龟爬行的总距离为（） A ．5101900-米 B ．510990-米 C ．4109900-米 D ．410190-米 4．下图为一个正四面体的侧面展开图，G 为BF 的中点，则在原正四面体中，直线EG 与直线BC 所成角的余弦值为（）A 3B 6C ．36D ．336 5．已知椭圆()222210x y a b a b+=>>的左、右焦点分别为1F 、2F ，过1F 的直线交椭圆于A ，B 两点，交y 轴于点M ，若1F 、M 是线段AB 的三等分点，则椭圆的离心率为( ) A ．12 B ．32C ．255D ．55 6．将函数2()3sin 22cos f x x x =-图象上各点的横坐标伸长到原来的3倍（纵坐标不变），再向右平移8π个单位长度，则所得函数图象的一个对称中心为（）A ．3,08π⎛⎫ ⎪⎝⎭B ．3,18⎛⎫-- ⎪⎝⎭πC ．3,08⎛⎫- ⎪⎝⎭πD ．3,18⎛⎫- ⎪⎝⎭π 7．已知函数()0,1ln ,1x f x x x <⎧=⎨≥⎩，若不等式()≤-f x x k 对任意的x ∈R 恒成立，则实数k 的取值范围是（） A ．(],1-∞ B ．[)1,+∞ C ．[)0,1 D ．(]1,0-8．已知三棱柱111ABC A B C -的所有棱长均相等，侧棱1AA ⊥平面ABC ，过1AB 作平面α与1BC 平行，设平面α与平面11ACC A 的交线为l ，记直线l 与直线,,AB BC CA 所成锐角分别为αβγ，，，则这三个角的大小关系为( )A ．αγβ>>B ．αβγ=>C ．γβα>>D ．αβγ>= 9．若直线不平行于平面，且，则（）A ．内所有直线与异面B ．内只存在有限条直线与共面C ．内存在唯一的直线与平行D ．内存在无数条直线与相交10．若x yi +(,)x y ∈R 与31i i +-互为共轭复数，则x y +=（） A ．0 B ．3C ．－1D ．4 11．将3个黑球3个白球和1个红球排成一排，各小球除了颜色以外其他属性均相同，则相同颜色的小球不相邻的排法共有（）A ．14种B ．15种C ．16种D ．18种12．已知复数z 满足32i z i ⋅=+（i 是虚数单位），则z =（）A ．23i +B ．23i -C ． 23i -+D ． 23i --二、填空题：本题共4小题，每小题5分，共20分。

2019届江苏省南京师范大学附属中学高三第二次模拟考试数学试题Word版含答案

2019届江苏省南京师范大学附属中学第二次模拟考试高三数学试题一、填空题1．已知集合(21],[12)A B =-=-，，，则A B = ．2．设复数z 满足(34)50i z ++=（i 是虚数单位），则复数z 的模为．3．射击运动员打靶，射5发，环数分别为9，10，8，10，8，则该数据的方差为．4．如下图是一个算法的伪代码，其输出的结果为．5．在平面直角坐标系xOy 中，抛物线22(0)x py p =>上纵坐标为1的一点到焦点的距离为3，则焦点到准线的距离为．6．从集合{1,2,3,4,5,6,7,8,9}中任取两个不同的数，则其中一个数恰是另一个数的3倍的概率为．7．已知实数,x y 满足1030330x y x y x y -+≥⎧⎪+-≥⎨⎪--≤⎩，则当2x y -取得最小值时，22x y +的值为．8．已知函数()sin ([0,])f x x x π=∈和函数1()tan 3g x x =的图像相交于,,A B C 三点，则ABC ∆的面积为．9．在平面直角坐标系xOy 中，P 是曲线:x C y e =上一点，直线:20l x y c ++=经过点P ，且与曲线C 在P 点处的切线垂直，则实数c 的值为．10．如下图，在ABC ∆中，1,2,,2AB AC BC AD DC AE EB ====．若12BD AC ⋅=-，则CE AB ⋅= ．11．已知()f x 是定义在区间[1,1]-上的奇函数，当0x <时，()(1)f x x x =-．则关于m 的不等式2(1)(1)0f m f m -+-<的解集为．12．在平面直角坐标系xOy 中，设点P 为圆22:(1)4C x y -+=上的任意一点，点(2,3)Q a a -()a R ∈，则线段PQ 长度的最小值为．13．公比为(1)q q ≠的等比数列1234,,,a a a a ，若删去其中的某一项后，剩余的三项（不改变原有顺序）成等差数列，则所有满足条件的q 的取值的代数和为．14．设常数1k >，函数,01()(1),1x x y f x kf x kx x -≤<==--≥⎪⎩，则()f x 在区间(0,2)上的取值范围为．二、解答题15．已知角α的终边上有一点(1,2)p ，（1）求tan()4πα+的值；（2）求5sin(2)6πα+的值． 16．如图，在四棱柱1111ABCD A B C D -中，已知平面11AAC C ⊥平面ABCD，且AB BC CA ===1AD CD ==．（1）求证：1BD AA ⊥；（2）若E 为棱BC 的中点，求证：//AE 平面11DCC D ．17．已知椭圆2222:1(0)x y E a b a b +=>>的右准线的方程为x =，左、右两个焦点分别为12(F F -．（1）求椭圆E 的方程；（2）过12,F F 两点分别作两条平行直线1FC 和2F B 交椭圆E 于,C B 两点（,C B 均在x 轴上方），且12FC F B +等于椭圆E 的短轴的长，求直线1FC 的方程． 18．如下图扇形AOB 是一个观光区的平面示意图，其中AOB ∠为23π，半径OA 为1km ，为了便于游客观光休闲，拟在观光区内铺设一条从入口A 到出口B 的观光道路，道路由圆弧AC 、线段CD 及线段BD 组成．其中D 在线段OB 上，且//CD AO ，设AOC θ∠=．（1）用θ表示CD 的长度，并写出θ的取值范围；（2）当θ为何值时，观光道路最长？19．已知函数323()(1)31,02f x x a x ax a =+--+>．（1）试讨论()(0)f x x ≥的单调性；（2）证明：对于正数a ，存在正数p ，使得当[0,]x p ∈时，有1()1f x -≤≤；（3）设（1）中的p 的最大值为()g a ，求()g a 得最大值．20．设数列{}n a 是各项均为正数的等比数列，其前n 项和为n S ，且155364,48a a S S =-=．（1）求数列{}n a 的通项公式；（2）设有正整数,(51)m l m <<，使得5,5,m l a a a 成等差数列，求,m l 的值；（3）设,,,1k m l N k m *∈<<，对于给定的k ，求三个数5,,l k m a a a 经适当排序后能构成等差数列的充要条件．理科附加21．甲、乙、丙三人进行羽毛球练习赛，其中两人比赛另一个人当裁判，设每周比赛结束时，负的一方在下一局当裁判，假设每局比赛中甲胜乙的概率为12，甲胜丙，乙胜丙的概率都是23，各局的比赛相互独立，第一局甲当裁判．（1）求第三局甲当裁判的概率；（2）记前四次中乙当裁判的次数为Y ，求Y 的分布列和数学期望．22．已知函数()ln (1)ln(1)f x x x x x =+--，(0,1)x ∈．（1）求()f x 的最小值；（2）若1,,,(0,1)a b c a b c ++=∈．求证：ln ln ln (2)ln 2a a b b c c a ++≥-．2019届江苏省南京师范大学附属中学高三第二次模拟考试数学试题参考答案一、填空题1．(2,2)- 2．1 3．45 4．1011 5． 4 6．112 7．5 89．4ln 2-- 10．43- 11．[0,1) 122- 13．0 14．(2,1]k - 二、解答题15．解：根据题意1tan ,sin 2ααα===，（1）1tan tan 142tan()3141tan tan 142παπαπα+++===--；（2）555sin(2)sin 2cos cos 2sin 666πππααα++2sin cos (αα=21(2cos 1)2α+-112(21)52=+⋅-⋅ =． 16．证明：（1）在四边形ABCD 中，因为,BA BC DA DC ==，所以BD AC ⊥，又平面11AAC C ⊥平面ABCD ，且平面11AAC C 平面ABCD AC =，BD ⊂平面ABCD ，所以BD ⊥平面11AAC C ，又因为1AA ⊂平面11AAC C ，所以1BD AA ⊥．（2）在三角形ABC 中，因为AB AC =，且E 为BC 中点，所以AE BC ⊥，又因为在四边形ABCD 中，AB BC CA ===1DA DC ==，所以60ACB ∠=︒，30ACD ∠=︒，所以DC BC ⊥，所以//AE DC ，因为DC ⊂平面11,DCC D AE ⊄平面11DCC D ，所以//AE 平面11DCC D ．17．解：（1）由题设：2a c c ==，得22229,1a b a c ==-=，故椭圆方程为2219x y +=．（2）连结BO 并延长交椭圆E 于D ，则易证12FOD F OB ∆≅∆，所以12OF D OF B ∠=∠，因为12180CFO BF O ∠+∠=︒，所以11180CFO DFO ∠+∠=︒，所以1,,C F D 三点共线．当CD x ⊥轴时，不合题意．当CD 不与x 轴垂直时，设:(CD y k x =+，代入椭圆方程并化简得2222(19)7290k x x k +++-=，设1122(,),(,)C x y D x y ，则1,2x =，所以22122236(1)()(19)k x x k +-=+．又2222212122236(1)()()(19)k k y y k x x k +-=-=+，所以2221212()()CD x x y y =-+-=222236(1)4(19)k k +=+，得k =，所以直线1FC 的方程为y x =+．18．解：（1）在COD ∆中，1OC DCO θ=∠，=,2,33CDO COD ππθ∠=∠=-，由正弦定理知，2sin sin()sin 33CD OD OC ππθθ==-，则2sin()3cos sin 3CD πθθθπ-==，经过点B 作//BE CD 交弧BC 于E ，则点C 在A E 、之间，所以03πθ<≤．（2）由（1）得OD θ=，弧AC 长为1θ⋅，观光道路长cos 1S θθθ=+++-cos 1θθθθ=++，求导得1sin S θθ'=-=1)6πθ+，令0,sin()6S πθ'=+=03πθ<≤，所以6πθ=，当(0,),06S πθ'∈>；当(,),063S ππθ'∈<，所以当6πθ=时，观光道路最长．19．证明：（1）由于2()33(1)3f x x a x a '=+--3(1)()x x a =+-，且0a >，故()f x 在[0,]a 上单调递减，在[,)a +∞上单调递增．（2）因为(0)1,f =3213()122f a a a =--+=21(1)(2)12a a -+-，当()1f a ≥-时，取p a =．此时，当[0,]x p ∈时，有1()1f x -≤≤成立．当()1f a <-时，由于(0)120,()10f f a +=>+<，故存在(0,)p a ∈使得()10f p +=．此时，当[0,]x p ∈时，有1()1f x -≤≤成立．综上，对于正数a ，存在正数p ，使得当[0,]x p ∈时，有1()1f x -≤≤．（3）由（2）知()f x 在[0,)+∞上的最小值为()f a ．当01a <≤时，()1f a ≥-，则()g a 是方程()1f p =满足p a >的实根，即223(1)60p a p a +--=满足p a >的实根，所以()g a = 又()g a 在(0,1]上单调递增，故max ()(1)g a g ==．当1a >时，()1f a <-，由于9(0)1,(1)(1)112f f a ==--<-，故[0,][0,1]p ⊂．此时，()1g a ≤．综上所述，()g a20．解：（1）因为数列{}n a 是各项均为正数的等比数列，所以设数列{}n a 的公比为q ，且0q >．又215364a a a ==，且30a >，所以38a =．又因为5348S S -=，所以2458848a a q q +=+=，解得2q =，所以2n n a =．（2）因为5,5,m l a a a 成等差数列，所以510m l a a a =+，即510222m l ⋅=+．所以，66522m l --=+．故662,2m l --中有且只有一个等于1．因为正整数,m l 满足5m l <<，所以662124m l --⎧=⎪⎨=⎪⎩，得68m l =⎧⎨=⎩．（3）设5,,k m l a a a 经适当排序后能构成等差数列．①若25k m l a a a ⋅=+，则10222k m l ⋅=+，当且仅当1022m k l k --=+，当且仅当11522m k l k ----=+．因为正整数,,k m l 满足k m l <<，当且仅当110l k m k -->--≥，且11l k --≥，所以11221l k m k ---->≥，122l k --≥．当且仅当112124m k l k ----⎧=⎪⎨=⎪⎩，即13m k l k =+⎧⎨=+⎩． ②若25m k l a a a =+，则22522m k l ⋅=⋅+，所以1225m k l k +---=（*）．因为12,2m k l k +-≥-≥，所以12m k +-与2l k -都为偶数，而5是奇数，所以，等式（*）不成立，从而等式25m k l a a a =+不成立，③若25l k m a a a =+，则同②可知，该等式也不成立．综合①②③，得1,3m k l k =+=+．设1,3m k l k =+=+，则5,,k m l a a a 为135,,k k k a a a ++，即5,2,8k k k a a a ．调整顺序后易知2,5,8k k k a a a 成等差数列．综上所述，5,,k m l a a a 经适当排序后能构成等差数列的充要条件为13m k l k =+⎧⎨=+⎩． 21．解答：（1）第二局中可能乙当裁判，其概率为13，也可能丙当裁判，其概率为23，所以第三局甲当裁判的概率为1121433329⨯+⨯=．答：第三局甲当裁判的概率为49．（2）Y 的可能取值为0，1，2．()212203239P Y ==⨯⨯=， ()112211()33332P Y ==⨯⨯+⨯21211173232327+⨯+⨯⨯=， ()1211142()3323327P Y ==⨯⨯+⨯=．所以Y 的分布列为：Y 的数学期望：()0129272727E Y =⨯+⨯+⨯=． 22．解：（1）()ln 1f x x '=+-()ln 11ln 1x x x--=-，令()10,2f x x '==．当1(0,)2x ∈时，()0f x '<；当1(,1]2x ∈时，()0f x '>．所以，()min 1()ln 22f x f ==-．（2）由1a b c ++=，(),,0,1a b c ∈，得111b c a a +=--，1b a -，()0,11c a ∈-．由（1），当(0,1)x ∈，ln (1)ln(1)ln 2x x x x +--≥-，所以，ln ln ln 21111b b c c a a a a+≥-----， ()1[ln ln 11b b b a a--+-()ln ln 1]ln 2c c c a --≥-， ()ln ln 1b b c c a +≥-()()ln 2ln 1b c a ++-()()()1ln 21ln 1a a a =-+--．（*）因为()0,1a ∈，由（1），()()ln 1ln 1ln 2a a a a +--≥-，所以，()()1ln 1ln ln 2a a a a --≥--．由（*）（*），()ln ln 1ln 2ln ln 2b b c c a a a +≥---，所以，()ln ln ln 2ln 2a a b b c c a ++≥-．。

2024学年江苏省南京师大附中高三二模英语试题试卷与答案含解析

2024学年江苏省南京师大附中高三二模英语试题试卷与答案注意事项:1．答题前，考生先将自己的姓名、准考证号码填写清楚，将条形码准确粘贴在条形码区域内。

2．答题时请按要求用笔。

3．请按照题号顺序在答题卡各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试卷上答题无效。

4．作图可先使用铅笔画出，确定后必须用黑色字迹的签字笔描黑。

5．保持卡面清洁，不要折暴、不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。

第一部分（共20小题，每小题1.5分，满分30分）1．Mark ______ have hurried. After driving at top speed, he arrived half an hour early.A．needn’t B．wouldn’t C．mustn’t D．couldn’t2．—Would you mind giving your advice on how to improve our business management?—If you make ________ most of the equipment, there will be ________ rise in production.A．the; a B．/; / C．/; a D．the; /3．The incident turned him into different person, even if he did not realize it at beginning.A．a; a B．the; the C．the; a D．a; the4．— I wonder what makes you a good salesperson.— I ________ as a waiter for three years,which contributes a lot to my today’s work.A．serve B．servedC．have served D．had served5．the key to the car when my boss came towards me.Finally I could drive himhome as usual.A．Never had I found B．Seldom did I findC．Hardly had I found D．No sooner did I find6．What the country did _____ the international trade regulations, for which it was widely condemned. A．approved B．violated C．bothered D．interrupted7．—Are you ready to leave?—Almos t, I’ll be ready to go just as soon as I ________ putting the clean dishes away.A．get through B．give upC．carry out D．set about8．The importance ______ a national day and how it is celebrated are very different from country to country. A．connected to B．given to C．meaning to D．attached to9．Some people use hand-written letters ______ typing because they’re more personal and represent your sincerity. A．in preference to B．in process of C．in reference with D．in search of10．John's success has nothing to do with good luck. It is years of hard work _________ has made him what he is today. A．what B．whichC．where D．that11．They came back from their long walk and went into bed, .A．tiredly but relaxing B．tired but relaxingC．tiredly but relaxed D．tired but relaxed12．Good food，good sleep，no exercise．That's he gained weight．A．how B．when C．what D．whether13．His advice made me happy, but ____others angry.A．making B．to make C．/ D．make14．—Will it cost a lot to be an exchange student?—________, but you can apply for scholarship and student loan.A．I would imagine so B．Y ou’ve got me thereC．By all means D．I’m with you on that15．I thought it hard to complete the project at first, but I______my mind.A．change B．have changedC．had changed D．would change16．As ______ healthier lifestyle is being promoted, the bicycle has also become a tool that keeps people on ______ go. A．the; a B．a; aC．a; the D．a; /17．High-speed trains which travel through my hometown ________ up to 250 km per hour make it a small world. A．with B．againstC．at D．over18．More expressways in Sichuan soon to promote the local economy.A．are being built B．will be builtC．have been built D．had been built19．There has been positive reaction to the proposal to help the disabled, the impact will be lasting especially for younger ones.A．on which B．on whomC．of which D．of whom20．he newly-discovered star was named _____ a Chinese astronomer ________his contributions to astronomy. A．for; in favor of B．after; in honor ofC．by; in memory of D．as; in praise of第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。

江苏省南京市南京师大附中2025届高考仿真卷数学试卷含解析

江苏省南京市南京师大附中2025届高考仿真卷数学试卷注意事项1．考试结束后，请将本试卷和答题卡一并交回．2．答题前，请务必将自己的姓名、准考证号用0．5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置． 3．请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符．4．作答选择题，必须用2B 铅笔将答题卡上对应选项的方框涂满、涂黑；如需改动，请用橡皮擦干净后，再选涂其他答案．作答非选择题，必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答，在其他位置作答一律无效． 5．如需作图，须用2B 铅笔绘、写清楚，线条、符号等须加黑、加粗．一、选择题：本题共12小题，每小题5分，共60分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1．已知函数()f x 的导函数为()f x '，记()()1f x f x '=，()()21f x f x '=，…，()()1n n f x f x +'=(n ∈N *). 若()sin f x x x =，则()()20192021f x f x += （）A ．2cos x -B ．2sin x -C ．2cos xD ．2sin x2．一个袋中放有大小、形状均相同的小球，其中红球1个、黑球2个，现随机等可能取出小球，当有放回依次取出两个小球时，记取出的红球数为1ξ；当无放回依次取出两个小球时，记取出的红球数为2ξ，则（） A ．12E E ξξ<，12D D ξξ< B ．12E E ξξ=，12D D ξξ> C ．12E E ξξ=，12D D ξξ<D ．12E E ξξ>，12D D ξξ>3．已知()()11,101,012x f x f x x x ⎧--<<⎪+⎪=⎨⎪≤<⎪⎩，若方程()21f x ax a -=-有唯一解，则实数a 的取值范围是( )A ．{}()81,-⋃+∞B ．{}()116,12,2⎛⎤-⋃⋃+∞ ⎥⎝⎦C ．{}()18,12,2⎡⎤-⋃⋃+∞⎢⎥⎣⎦D ．{}[]()321,24,-⋃⋃+∞4．中国古代数学名著《九章算术》中记载了公元前344年商鞅督造的一种标准量器——商鞅铜方升，其三视图如图所示（单位：寸），若π取3，当该量器口密闭时其表面积为42.2（平方寸），则图中x 的值为( )A ．3B ．3.4C ．3.8D ．45．某几何体的三视图如图所示，则该几何体的体积是（）A ．53π B ．43π C ．223π+D ．243π+6．设点P 是椭圆2221(2)4x y a a +=>上的一点，12F F ，是椭圆的两个焦点，若1243F F =则12PF PF +=（） A ．4B ．8C ．42D ．477．已知集合A ={x |x <1}，B ={x |31x <}，则 A ．{|0}A B x x =< B ．A B R = C ．{|1}AB x x =>D ．AB =∅8．已知数列{}n a 中，121,2a a ==，且当n 为奇数时，22n n a a +-=；当n 为偶数时，()2131n n a a ++=+．则此数列的前20项的和为（）A ．1133902-+B ．11331002-+C ．1233902-+D ．12331002-+9．双曲线22:21C x y -=的渐近线方程为( ) A ．20x =B ．20x y ±=C ．20x y ±=D ．20x y ±=10．已知集合{}23100A x x x =--<，集合{}16B x x =-≤<，则AB 等于（）A ．{}15x x -<< B ．{}15x x -≤< C ．{}26x x -<<D ．{}25x x -<<11．射线测厚技术原理公式为0tI I e ρμ-=，其中0I I ，分别为射线穿过被测物前后的强度，e 是自然对数的底数，t 为被测物厚度，ρ为被测物的密度，μ是被测物对射线的吸收系数.工业上通常用镅241（241Am ）低能γ射线测量钢板的厚度.若这种射线对钢板的半价层厚度为0.8，钢的密度为7.6，则这种射线的吸收系数为（）（注：半价层厚度是指将已知射线强度减弱为一半的某种物质厚度，ln 20.6931≈，结果精确到0.001） A ．0.110B ．0.112C ．0.114D ．0.11612．若复数z 满足i 2i z -=，则z =（） A ．2B ．3C ．2D ．5二、填空题：本题共4小题，每小题5分，共20分。

2024届三省三校(湖南省长郡中学、南京师大附中、浙江省杭州二中)高三下学期高考模拟语文试题及答案

2024届三省三校（湖南省长郡中学、南京师大附中、浙江省杭州二中）高三下学期高考模拟语文试题一、现代文阅读（35分）（一）现代文阅读I（本题共5小题，18分）阅读下面的文字，完成1-5题。

食物是一个人整体健康的基本支柱，尤其是在身心全面发展的儿童时期。

越来越多的证据表明，优先选择“真正的”食物，而不是过度加工的工业食品非常重要。

然而，如今儿童越来越早地开始食用各种加工食品。

6个月大的孩子刚开始吃辅食，许多家长就会给他们提供以谷物、燕麦或大米为基础原料的速食食品。

如果详细阅读一下提供给儿童的食品配料表，就会看到高果糖玉米糖浆、味精等字眼，以及数百种其他添加剂，这些添加剂不仅没有营养价值，反而对健康有害。

尽管由于它们的含量极少，因此被各国的监管机构所接受，但其累积效应最终会影响一生，还会诱发人们对这类产品产生依赖性。

阿根廷儿科学会的儿科医生罗克萨娜·安娜伊·蒂莫认为，毫无疑问，正是超加工食品导致儿童对不健康食品“上瘾”。

这是因为大多数超加工产品都含有糖、高果糖玉米糖浆或谷氨酸钠（味精）。

谷氨酸钠通常被用于零食和饼干中，因为它能打开味蕾，让味觉无法抗拒。

糖和高果糖玉米糖浆以及精制面粉不仅极易使人上瘾，诱使儿童的大脑想要越吃越多，而且对健康非常有害。

这位儿科医生坚持认为，许多儿童对烘焙食品、甜食和零食的强迫性成瘾行为都是由此造成的。

她还强调，从小就向儿童提供这些产品的家长应该意识到，他们正在刺激儿童大脑中的愉悦和奖赏回路，也就是与成瘾行为相关的回路。

玛丽埃尔·多韦瑙是一位专门从事儿童和成人功能医学研究的儿科医生。

她赞同上述观点，并指出一段时间以来，科学界一直在争论是否要将对这类食物产生的依赖行为定义为“成瘾”行为。

她说：“我认为，这个问题尚未被确认，意味着我们只是在浪费时间。

”她解释说：“之所以可能出现上瘾问题是因为与许多被滥用的药物一样，此类食品在大脑中都能激活奖赏回路。

2025届江苏省南京市附中高三二诊模拟考试数学试卷含解析

2025届江苏省南京市附中高三二诊模拟考试数学试卷注意事项1．考生要认真填写考场号和座位序号。

2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。

第一部分必须用2B 铅笔作答；第二部分必须用黑色字迹的签字笔作答。

3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。

一、选择题：本题共12小题，每小题5分，共60分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1．若复数21iz =+，其中i 为虚数单位，则下列结论正确的是（） A ．z 的虚部为i -B ．2z =C ．z 的共轭复数为1i --D ．2z 为纯虚数2．已知抛物线22(0)y px p =>上的点M 到其焦点F 的距离比点M 到y 轴的距离大12，则抛物线的标准方程为（）A ．2y x =B ．22y x =C ．24y x =D ．28y x =3．若01a b <<<，则b a ， a b ， log b a ，1log ab 的大小关系为（）A ．1log log b a b aa b a b >>> B ．1log log a bb ab a b a >>> C ．1log log b a b aa ab b >>> D ．1log log a b b aa b a b >>> 4．已知等差数列{}n a 的前n 项和为n S ，37a =，39S =，则10a =（） A ．25B ．32C ．35D ．405．陀螺是中国民间较早的娱乐工具之一，但陀螺这个名词，直到明朝刘侗、于奕正合撰的《帝京景物略》一书中才正式出现.如图所示的网格纸中小正方形的边长均为1，粗线画出的是一个陀螺模型的三视图，则该陀螺模型的表面积为（）A ．()85424πB ．()85824πC ．()854216πD ．()858216π6．若复数z 满足(1)34i z i +=+，则z 的虚部为（）7．函数()()()sin 0,02g x A x A ωϕϕπ=+><<的部分图象如图所示，已知()5036g g π⎛⎫==⎪⎝⎭，函数()y f x =的图象可由()y g x =图象向右平移3π个单位长度而得到，则函数()f x 的解析式为（）A ．()2sin 2f x x =B ．()2sin 23f x x π⎛⎫=+⎪⎝⎭C ．()2sin f x x =-D ．()2sin 23f x x π⎛⎫=- ⎪⎝⎭8．已知{}1A x x =<，{}21xB x =<，则A B =（）A ．()1,0-B ．()0,1C ．()1,-+∞D ．(),1-∞9．某几何体的三视图如图所示，则此几何体的体积为（）A ．23B ．1C ．43D ．8310．在区间[1,1]-上随机取一个数k ，使直线(3)y k x =+与圆221x y +=相交的概率为（）11．已知命题2:21,:560p x m q x x -<++<，且p 是q 的必要不充分条件，则实数m 的取值范围为（） A ．12m >B ．12m ≥C ．1mD ．m 1≥12．己知46a =，544log 21b =， 2.913c ⎛⎫= ⎪⎝⎭，则（） A ．a b c >> B ．a c b >> C ．b c a >> D ．c a b >>二、填空题：本题共4小题，每小题5分，共20分。

2021-2022学年江苏省南京师范大学附属中学高三下学期开学摸底考化学试卷含详解

南京师大附中2021~2022学年度第2学期高三年级化学试卷本试卷分选择题和非选择题两部分。

共100分。

考试用时75分钟。

可能用到的相对原子质量：H1C12N14O16Ag108一、单项选择题：共14题，每题3分，共42分。

每题只有一个选项最符合题意。

1.下列说法正确的是A.丝绸、宣纸及尼龙的主要成分均为合成纤维B.港珠澳大桥使用的超高分子量聚乙烯纤维吊装缆绳，具有质量轻、强度大、耐磨、耐腐蚀的优点C.“嫦娥五号”使用的太阳能电池阵和锂离子电池组，均可将化学能转变成电能D.“奋斗者号”潜水器使用的固体浮力材料，由空心玻璃微球填充高强树脂制成，属于无机非金属材料2.我国自主设计生产的长征系列运载火箭使用偏二甲肼(C 2H 8N 2)作燃料，N 2O 4作氧化剂。

下列相关的化学用语正确的是A.该反应的化学方程式：C 2H 8N 2+N 2O 4=2CO 2+N 2+4H 2OB.偏二甲肼的结构简式：C.N 2的结构式：N=ND.甲基的电子式：3.硫及其化合物在生产生活中具有广泛应用。

由自然界的硫磺和金属硫化物矿通过化学反应可得到2SO ，2SO 催化氧化生成3SO ，其热化学方程式为2232SO (g)O (g)2SO (g)+=1ΔH=-198kJ mol -⋅。

燃煤、金属冶炼和硫酸生产等产生的尾气中都含有2SO ，用NaOH 等碱性溶液吸收尾气中的2SO ，可得到3NaHSO 、23Na SO 等化工产品。

下列硫及其化合物的性质与用途具有对应关系的是A.S 有氧化性，可用于生产2SO B.23Na SO 溶液显碱性，可用于吸收少量2SO C.2SO 有还原性，可用于纸浆漂白 D.浓24H SO 有脱水性，可用作干燥剂4.硫及其化合物在生产生活中具有广泛应用。

由自然界的硫磺和金属硫化物矿通过化学反应可得到SO 2，SO 2催化氧化生成SO 3，其热化学方程式为2232SO (g)O (g)2SO (g)+ 1Δ=-198kJ mol H -⋅。

江苏省南京师大附中2020届高三数学下学期模拟考试试题2含解析

（1)当立柱和立柱高度相同时，求两立柱的总造价;
(2）求立柱和立柱总造价的最小值．
【答案】（1）万元；（2) 万元．
【解析】
【分析】
设两立柱的总造价为y万元．
（1）过C作的垂线分别交，于，，根据题中数据,求出，即可得出结果；
（2）过B作的垂线，垂足为F，过C作的垂线，垂足为G，设，
【答案】
【解析】
【分析】
由已知可知与共线反向，令 ,然后由和列方程求解即可。
【详解】解：因为平面向量与的夹角是 ,
所以设，即，
因为，所以 ,得 ,
因为，所以 ,
所以 ,
故答案为：
【点睛】此题考查共线向量,向量的模,向量的坐标运算，属于基础题.
10. 已知是椭圆的长轴的两个端点，是椭圆上的动点,且的最大值为，则椭圆的离心率为______．
试题解析：（1）在直三棱柱中， , ，所以 ,因为，所以 ,又，所以，因为，所以，因为在平面中，，所以四边形为正方形，因为点分别为的中点，所以 ∽ ，所以，所以，即，又因为，所以。
（2）连接交于点 ,连接交于点，连接，
在正方形中利用及平面几何知识可得，在正方形中利用 ∥ 且可得，所以在中, ，所以，又平面，平面，所以平面．
12. 在△ABC中,角A，B,C的对边分别是a，b，c．已知a＝2，3bsinC－5csinBcosA＝0，则△ABC面积的最大值是．
【答案】2
【解析】
试题分析:由正弦定理得: 又即．
又 ∴ ，，
由余弦定理得，
当且仅当时，等号成立；
所以，

2025届江苏省南京师大附中高三零诊考试物理试题试卷

2025届江苏省南京师大附中高三零诊考试物理试题试卷注意事项1．考生要认真填写考场号和座位序号。

2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。

第一部分必须用2B 铅笔作答；第二部分必须用黑色字迹的签字笔作答。

3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。

一、单项选择题：本题共6小题，每小题4分，共24分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1、如图所示，在直角坐标系xOy 平面内存在一点电荷，带电荷量为－Q ，坐标轴上有A 、B 、C 三点，并且OA =OB =BC =a ，其中A 点和B 点的电势相等，O 点和C 点的电场强度大小相等。

已知静电力常量为k ，则（）A ．点电荷位于B 点处B ．O 点电势比A 点电势高C ．C 点处的电场强度大小为2kQ a D ．将正的试探电荷从A 点沿直线移动到C 点，电势能先增大后减小2、如图所示，半径为R 的光滑半圆形刚性细杆竖直固定，O 点为其圆心，AB 为水平直径，在细杆的A 点固定一个光滑的小圆环，穿过小圆环的不可伸长的细线一端与质量为4m 的重物相连，另一端与质量为m 且套在细杆上的带孔小球相连。

开始时小球静止在细杆的C 点，重物在A 点正下方，细线恰好伸直，将重物由静止释放后，小球在重物拉动下沿细杆运动。

已知重力加速度为g ，当小球运动到P 点时，重物下落的速度为（ OP 、OC 均与水平方向成60°角）（）A 33-32gR B 33-15gR C 332gR D (31)gR3、甲、乙、丙、丁四辆小车从同一地点向同一方向运动的图象如图所示，下列说法中正确的是（）A．甲车做直线运动，乙车做曲线运动B．在0～t1时间内，甲车平均速度等于乙车平均速度C．在0～t2时间内，丙、丁两车在t2时刻相遇D．在0～t2时间内，丙、丁两车加速度总是不相同的4、如图所示,小物体P放在水平圆盘上随圆盘一起转动，下列关于小物体所受摩擦力f的叙述正确的是（）A．f的方向总是指向圆心B．圆盘匀速转动时f=0C．在转速一定的条件下，f跟物体到轴O的距离成正比D．在物体与轴O的距离一定的条件下, f跟圆盘转动的角速度成正比5、如图所示，一飞行器围绕地球沿半径为r的圆轨道1运动，经P点时，启动推进器短时间向后喷气使其变轨，轨道2、3是与轨道1相切于P点的可能轨道，则飞行器（）A．变轨后将沿轨道3运动B．变轨后相对于变轨前运行周期变大C．变轨前、后在两轨道上运动时经P点的速度大小相等D．变轨前经过P点的加速度大于变轨后经过P点的加速度6、“蹦极”运动中，长弹性绳的一端固定，另一端绑在人身上，人从几十米高处跳下。

南京师大附中2023届高三年级模拟考试

南京师大附中2023届高三年级模拟考试全文共5篇示例，供读者参考语文作文文题最好能新颖生动，既富有诗意，又蕴有趣味，能激发读者美好的遐想。

化实为虚，补出新意。

下面给大家分享一些关于年高三模拟考试语文作文范文5篇，希望能够对大家有所帮助。

南京师大附中届高三年级模拟考试篇1一年又一年，我在慢慢长大，我的童年也在慢慢走远。

站在回忆的港口，吹着细细的晚风，我慢慢将这些回忆拾起。

“小木马摇啊摇，摇到外婆桥。

”小时候，每逢夏日的夜晚，爸爸妈妈总会带着我和弟弟去公园散步。

到了公园一见旋转木马就再也走不动了。

哪个爱做梦的女孩子不喜欢旋转木马呢?我吵着闹着要带弟弟一起玩。

爸爸妈妈总是抵不住我们的哭闹，他们笑着无奈地点头默许。

我便止住眼泪，__颠__颠地拉着弟弟向那一匹匹长着翅膀像有魔力似的小马驹跑去。

灯火阑珊，伴着悦耳的音响，我坐在小马上幻想自己是故事中最幸福的公主，在美丽的城堡中与自己的一只长着独角的飞马嬉戏。

我忘记了时间，忘记了周围的一切，只沉浸在属于自己的虚幻世界里。

我多想再跟爸爸妈妈撒一次娇，多想在我的梦里多玩一会啊。

最开心的是满天繁星下捉蟋蟀。

“小星星，闪啊闪，闪得眼睛亮晶晶。

”奶白的月亮安谧地睡在黑得发紫的夜空中，虚虚实实，假假真真。

看得不真切的夜，仿佛是一场虚幻的，不存在的梦境。

蝉鸣，鸟叫，蟋蟀蹦跳。

那是孩童的天堂!我和弟弟又偷偷跑了出去。

我们姐弟俩一起比赛，看谁捉的蟋蟀多。

大半夜黑灯瞎火的，有两个调皮的小孩一丝不苟地弓着腰，趴在地上寻找一只只蟋蟀，只为证明谁更厉害。

是那样的执着，又是那样的天真!夜更深了，一轮玄月挂在空中。

时间就像旋转木马一样，当音乐停止时，童年也就即逝去了。

曾经的天真亦不复存在，现在真的没有任何理由再去天真一把了。

这样任性地挥霍时光，一生中能只有几年呢?别了，我的旋转木马!别了，我的蟋蟀!童年就像一块洁白无瑕的玉，它永远是我心中最美好的记忆。

前方的梦在召唤着我，我知道，我依旧会时不时一片一片把它们拾起。

南京师大附中高三第二次模拟考试英语试卷1

南京师大附中2006届高三第二次模拟考试英语试卷第二部分：英语知识运用（共两节，满分45分）第一节单项填空（共15小题；每小题1分，满分15分）21.Money plays an important role in ____ material world. But expecting ____ money to give happiness may be missing the meaning of life.A. a; theB. the; /C. /; /D. the; the22.---I’m sorry. I’ve left my credit card home. And I don’t have enough cash for the meal.--- Don’t worry. _______.A. I’ll invite youB. It’s my pleasure to pay youC. It’s my treatD. It’s at your expense23.Because the hall was full, thousands of fans were _____, and they left, disappointed.A. turned outB. turned awayC. turned inD. turned over24.---What if the other person is boring?---Just listen politely and nod your head ________.A. all the timeB. oftenC. once in a whileD. for a time25.That day, my wife drove downtown to do Christmas shopping at ______ I thought was a dangerous speed.A. whichB. thatC. asD. what26.____ a certain doubt among the students as to the necessity of the work.A. It existedB. They hadC. There existedD. There had27.--- Here is the film ______. I need the pictures in 15 minutes.--- OK. But you have to pay extra charge.A. to developB. to be developedC. developedD. developing28.The time has come _____ we can make extensive use of nuclear energy.A. sinceB. whichC. whenD. while29.---Thanks for your trouble.---Not at all. I’m _____ pleased to help you.A. too muchB. too onlyC. so muchD. only too30.That night I felt especially lazy and went to bed ____ earlier than usual.A. quiteB. ratherC. fairlyD. so31.He can speak English, German, French and Japanese. He is nearly a man with a(an) ______ for languages.A. giftB. presentC. abilityD. skill32.Deep in the forest _____, who made no contact with the outside world.A. living a coupleB. were a couple livingC. did a couple liveD. lived a couple33.---Amazing! You ____ wear slippers at work.---Don’t you know it’s a fashion?A. shouldB. mustC. canD. may34.To buy some salt, the careless housewife went downstairs, _______ the dish_______ over the gas.A. left, cookedB. leaving, being cookedC. leaving, cookingD. left, being cooked35.--- Oh, I wonder whose car _____ in the “No Parking” zone.--- It might be Lisa’s, I’m afraid.A. was leftB. had been leftC. will be leftD. has been left第二节完形填空（共20小题，每小题1.5分，满分30分）Robert picked up his bag and headed down the steps. Noises were still there in the 36 as the other boys finished their bath and got ready to 37 . The smell of defeat was in the air. Robert had to 38 now because Pete said that they would 39 at 5:30 sharp. Pete hated to wait and often grew 40 with Robert.The sharp wind filled in Robert's 41 as he hurried along the roadside. The 42 of defeat weighed him down as he 43 nearer to the meeting place. Robert hardly 44 any tiredness from this exciting game. The game had been close. They were ahead for a while in the third quarter. Then, somehow, the other team ran away with 45 ."I wonder what Pete will say?" Robert thought. Pete's high school team was having a good 46 . Pete never played as much in the games as Robert, 47 Pete's team was always the winner. Pete always had 48 to say about basketball and winning. Robert wondered what he would say today.Robert saw his brother standing in front of the store."Hey, Pete!" he called."How did it go, Robert?""Oh, OK, I guess. We lost but played 49 .""Did you play?" Pete asked.“Yes, the whole game. How about you?""No. They didn't even 50 me in. We won, but I just 51 beside.""Well," Robert said, "at least your team won. You may even go to 52 game.""Yes, but you played, Robert. That's 53 ."The two brothers fell into 54 with one another and went back home, each with a 55 understanding of winning.36. A. playground B. ears C. bathroom D. head37. A. fight B. leave C. play D. pack38. A. hurry B. wait C. give up D. slow down39. A. play B. see C. exercise D. meet40. A. worried B. disappointed C. impatient D. nervous41. A. mind B. clothes C. heart D. bag42. A. sadness B. happiness C. tension D. excitement43. A. bicycled B. drove C. wandered D. drew44. A. saw B. realized C.overcame D. found45. A. the end B. the lead C. the ball D. the defeat46. A. game B. season C. coach D. time47. A. still B. though C. while D. but48. A. nothing B. a little C. a lot D. too much49. A. lightly B. hard C. aimlessly D. hopelessly50. A. insert B. interrupt C. put D. count51. A. sat B. scored C. wept D. shouted52. A. the last B. the next C. one other D. one more53. A. more important B. more necessary C. not fair D. not right54. A. foot B. step C. anger D. love55. A. full B. clear C. deep D. better第三部分：阅读理解（共20小题，每小题2分,满分40分）A“W e’re going,” Mimi called out to her mother in the family’s grocery store next to her house. This was her first date, and Ro bert Rovere had just arrived to take her to a dance. She could hardly believe it was happening. During the long wait she had wondered again and again what to wear, finally putting on her favourite blouse. Now at last Robert was here. He looked beautiful to her. His hair was neatly combed and he wore a yellow sweater she hadn’t seen before. Mimi felt wond erful.As they stepped out of the door, Mimi’s mother popped out of the store and said hello to Robert. Then she put a package wrapped in white paper into Mimi’s hand.“Limburger cheese for Sally Thompson, Mimi. We got a case of imported Limburger in today. I promised Sally you’d deliver it tonight.”“Tonight!” Mimi echoed, staring down at the cheese. “Why not tomorrow?”“Sorry, but I promised Sally,” her mother said , “Well, have fun, you two.”“Oh well, Robert, let’s go,” she said.Her first date ever, her first date with Robert Rovere, and she was stuck with a large, smelly, messy package of cheese! She tried to forget it. “Here I am,” she said to herself, “going to a dance with Robert Rovere.” She glanced up at him.“That cheese smells,” he said.She held the cheese in the hand farthest from him, but the smell seemed to be crawling up her arm.They turned onto Montcalm Street. Mimi didn’t know the house number, but she thought she’d recognize the house because she’d passed there once before. “Oh, here it is.” She rang the bell but nobody answered. Then she noticed that the name under the bell wasn’t Thompson. She had come to the wrong house. Oh, how embarrassing, she thought. She dropped the cheese into her coat pocket and rejoined Robert.“Wrong house,” she said. “I was sure she lived there.”“What do we do now?” Robert asked.Mimi bit her lip. She couldn’t bring the cheese home again now. It would just have to go to the dance with her. “Let’s go,” s he said. She was so miserable she couldn’t think of anyth ing else to say, and she and Robert walked the rest of the way in a silence as thick as the bad smell of the cheese.When they arrived at the dance, the place was full of people and there was no room to hang their coats. Mimi wanted to wash her hands, but Robert led her straight onto the dance floor. Mimi noticed that Robert smelled sweet, like lily of the valley. She smelledof Limburger cheese.Mimi danced with all her heart. Robert’s eyes were closed，probably trying to forget her and her smell, she thought....56. What particular point suggests that Mimi was nervous about her date?A. She could hardly believe she had taken such a long time to get ready.B. She kept Robert waiting for a long time until she was ready.C. She spent a long time making herself look nicer.D. She wondered many times whether Robert would like the yellow sweater.57. What happened when Mimi brought the cheese to the house?A. At first Mimi didn’t realize that it was someone else’s house.B. It was not the right house but the house number was correct.C. The wrong person came to the door.D. There was no one at the Thompson’s home.58. Why did Mimi bring the cheese with her into the dance hall?A. Robert said nothing about the cheese on the way to the dance.B. She co uldn’t find any place to leave it.C. She thought the cheese was not as smelly as the lily of the valley.D. The room for hanging coats was full of people.59. Which of the following was most likely to happen in the end?A. Their first date was a success.B. The smell ruined the date.C. Robert took all the cheese after the dance.D. They quarreled over the smelly cheese.BMALA YSIA'S Prime Minister, Mahathir Mohamad, retired on October 31. But he didn't go quietly. In his final speech, he blamed the Jewish people for the problems between Israel and the Palestinians."The Jews have taken land of the Muslims," he said. "What if part of America was given to the Jews as Israel? Would the Americans let it happen? Of course not."His words angered many western governments, but Mahathir doesn't care. "I like to speak my mind," the 77-year-old explained. "Sometimes people don't like it. But that is what leadership is all about."Loved by some and disliked by others, his 22 years in power have seen great changes in Malaysia. He has taken it from being one of Asia's poorest countries to the world's 18th largest trading nation. It is also a peaceful country with native Malaysians living alongside minority groups. Chinese make up a quarter of the population, while a further 7.4 percent are of Inidan origin. Teenage girls wearing Muslim headscarves happily walk around large stores as ethnic Chinese play mah-jong (麻将) in nearby cafes.But Mahathir has made enemies at home and abroad and some people will be glad he has gone. The US was unhappy when he often blamed it for globalization. Meanwhile, critics say that he has limited the freedom of the Malaysian people in order to stay in control of the country. Despite this, he is a hero to leaders in Southeast Asia as well as those in the Islamic (伊斯兰) world. "He marked out the path to success for developing nations in the region to follow," said Thai President Thaksin Shinawatra.Now he just wants to enjoy his retirement and insists that he will not take on a special role in government. "I'm a nobody," he said. But many Malaysians do not agree with this.60. What does Mahathir probably mean by “But that is what leadership is all about.”?A. The Jews have taken land of the Muslines by strong power of their leadership.B. America should give part of its land to Israel though its leadership is powerful.C. Leadership has the obligation to speak up what you think is right or wrong.D. As a leader of a country, you have the right to teach those in other countries what to do and how.61. Which is NOT true about the following?A. Malaysia was no longer poor after Mahathia came into power.B. Malaysia is a country with natives and other minorities like Jews living alongside peacefully.C. Malaysia developed a lot within M ahathia’s power but freedom of Malaysians was limited.D. Mahathia’s role in the world is both a hero to leaders in Southeast Asia but also a possible enemy of somecountries.62. The best title of this passage would be __________ .A. A Religion EnthusiastB. Mahathia’s Political PolicyC. Mahathia Is MalaysiaD. Hero of the WorldCMany people believe the glare from snow causes snowblindness. Y et, dark glasses or not, they find themselves suffering from headaches and watering eyes, and even snowblindnes s, when exposed to several hours of “snow light”.The United States Army has now determined that glare from snow does not cause snowblindness in troops in a snow-covered country. A man’s eyes frequently find nothing to focus on in a broad expanse of barren snow-covered terrain(地域). So his long look continually moves and jumps back and forth over the entire landscape in search of something to look at. Finding nothing, hour after hour, the eyes never stop searching and eyeballs become sore and the eye muscles ache. Nature offers this discomfort by producingmore and more fluid which covers the eyeball. The fluid covers the eyeball in increasing quantity until vision became not clear, then is not easily seen and the result is total, even though not very long, snowblindness.Experiments led the Army to a simple method of solving this problem. Scouts, ahead of a main body of troops, are trained to shake snow from evergreen bushes creating a dotted line as they cross completely snow-covered landscape. Even the scouts themselves throw lightweight, dark colored objects ahead on which they too can focus. The men following can then see something. Their eyes focus on a bush and have something to see. By focusing their attention on one object at a time, the men can cross the snow without becoming hopelessly snowblind or lost. In this way the problem of crossing a solid white terrain is solved.63. The first paragraph is mainly concerned with ____.A. need for dark glassesB. the whiteness from snowC. headaches, watering eyes and snowblindnessD. snow glare and snowblindness64. According to the author, recent work on snowblindness shows that it is caused by ________.A. exposure to bright lightB. failure to focus on an objectC. a loss of vision which doesn’t last l ongD. focusing on dark colored objects for a very long time65. Suppose you walk across a completely snow-covered area, what should you do to solve the problem ofsnowblindness?A. By wearing dark sun glasses.B. By throwing an extra pair of black shoes ahead.C. By asking the Army for help.D. By walking backwards.66. A suitable title for this passage would be ____.A. Snowblindness and How to Avoid itB. Nature’s Cure for SnowblindnessC. Soldiers in SnowD. Snow VisionDFor a 400-year-old art form, operas had a bad fame: overweight actresses singing the words which are hard to understand in one of those romance languages you were supposed to learn in high school. And with tickets costing as much as $ 145 a performance, opera goers also have a certain appearance in people’s mind: rich, well-dressed and old.But now opera companies around the country are loosening their ties and kicking off their shoes in an attempt to bring the opera to the audience. It needs to keep it alive, the young and not-so-rich.Opera producers have found that to attract this crowd, they need to make the opera closer to common people. That means no formal suits, old-styled theatre or band-breaking ticket prices. And because young people don’t or won’t come to the opera, companies are bringing the opera to them, giving performances in such unusual places as parks, libraries and public schools.The Houston Grand Opera’s choice is the public library, where it performs “mobile operas”, shortened versions (剧本) of child-friend ly operas. This summer’s production is Hansel & Gretel. By performing smaller versions of large productions, producers are able to make people interested while keeping costs at a reasonable level. The San Francisco Opera, which will be celebrating its 75th anniversary this year, is staging Cinderella free of charge, keeping costs down by employing students from its Y oung Artists’ Training Program.67. Which is the main idea of this passage?A. Opera is famous for its long history.B. Opera is only performed for rich people.C. Young people are not interested in opera.D. Opera companies are trying to keep opera alive.68. The underlined phrase “loosening their ties and kicking off their shoes” (paragraph 2) means _______.A. breaking up the old rulesB. changing the formal suitsC. making the audience at easeD. advertising themselves69. Opera companies prefer to perform short versions because ________.A. it is hard to find long versionsB. short versions are easy to performC. they can perform in public librariesD. they can make more people come to opera70. The San Francisco Opera Company employs student actors in order to _______.A. celebrate its 75th anniversaryB. reduce the costC. attract young peopleD. make Cinderella popular71. From the passage we can infer that ______.A. the tickets for operas are very expensiveB. operas are performed in a difficult languageC. operas are not so popular an art form todayD. students enjoy performing operas very muchEDear Carol,I wear braces (牙箍) and I know I look just terrible in them. Is there anything I can do to improve my appearance until they come off?Connie N.Philadelphia, PA Dear Connie,Start by thinking about how good you are going to look when your braces come off. If you are negative about your appearance, people will pick that up right away about you. In the meantime there are several things that you can do to liftyour spirits:●Change your hairstyle. Be sure to get a good cut so that the shape of your hair will be flattering to your face andalso good for your type of hair (fine, thick, straight, curly, etc.) Choose a hairstyle that draws attention away from your face. Hair pulled back into a pony-tail or into a ball on top or slightly off-center can be attractive and practical for this purpose.●Keep skin clean. If you choose to wear makeup, it should look natural. Blusher and lip gloss in light tones of peachor pink are best.●Be well-groomed. Neatness really counts. People see a total look about you before they ever become aware of yourbraces. And first impressions are lasting ones!72. Why did Connie write to Carol?A.Because she really care about her clothes.B. Because she cared much about her appearance.C. Because her teeth were not good.D. Because she didn't know how to make up.73. Carol's idea about one's appearance is ______.A.change your hairstyle and you will look beautifulB. keep your skin clean and you will look goodC. neatness really countsD. if you yourself don't think you look smart, neither will people74. Carol tries to let Connie know that _______.A.the deepest impressions one leaves on others is the first onesB.spirits are important when we talk about one's appearanceC.there are some practical ways to draw people's attention away from where you don't feel goodD.all of the above75. The underlined word “count” means “________” in the passage.A. say numbers in orderB. be of importanceC. not includeD. be accepted第II卷(共35分）第四部分：写作（共两节，满分35分）I graduated from university two years ago and started working for a company in Qingdao.After one year, I cannot bear the hard work 1. ______and low salary any longer, because I took a chance 2. ______as an assistant in the human resources section. 3. ______But now, after more than one and a half year in that 4. ______section, I feel tiring on the job again. I feel 5. ______puzzled about me. I don't know what to do, 6. ______but I know I want success bad. Sometimes I wish 7. ______I could stay in quiet place, alone, away from 8. ______this city for a long time for think about my future. 9. ______Can you tell me how to do now? 10. ______第二节：书面表达（满分25分）你家将成为某国际交流项目的接待家庭之一。

2021届南京师范大学附属中学高三语文二模试题及答案

2021届南京师范大学附属中学高三语文二模试题及答案一、现代文阅读（36分）(一)现代文阅读I(9分)阅读下面的文字，完成下面小题。

材料一：小说作为一种文学形式，属于艺术之范畴，其终极旨归应为“诗”。

诗性当是小说作为一种文学形式的突出特征。

作家要艺术化地去处置现实，提升小说作为故事性文本的艺术含量，从而使其抵达更高层次的诗性彼岸。

过度地沉迷于故事性，便会遮蔽或者丧失其诗性，而堕入通俗性的歧途。

如何合理地掌控故事性和诗性之关系，应当成为小说家的第一要务。

综观中国当代小说的创作现状，诗性的缺失，正使其在背离葆有更高艺术含量的“纯文学”轨道上渐行渐远，而堕入了通俗性、庸俗化的平庸之境。

小说是当下最为繁荣的文学体裁，取得了不俗的成绩。

但一些作家似乎过多沉迷于叙述模式的借鉴和实验，陶醉于魔幻现实的营造，痴心于恢宏历史的展现，执着于玄妙故事的构思，却忽视或者漠视了小说诗性的构建。

在他们的作品中，难于找寻到诗化的现实、诗意的语言和充满诗魅的意象，而直露的现实、粗鄙的语言和意象的缺席，却占据了不小的空间。

而且，过度商业化的氛围造成了他们心态的浮躁和对利益的追逐，从而进一步加剧了小说的通俗性和庸俗化，使其几乎成了“快餐文化”的一分子。

这并不是对中国当代小说的全面否定。

中国当代小说中不乏富有诗性、艺术水准颇高的佳作，但这类作品似乎正在日益被通俗性的潮流冲刷、侵蚀。

(摘编自仕永波《小说亟待提升诗性品质》)材料二：海德格尔认为，文学是人们在天地之间创造出来的崭新的诗意的世界，是借文字展示的诗意生存的生命。

日常生活是非诗意的，我们只有通过文学的引领才能到达诗意，感受无限，领悟神圣。

既然日常生活总是被非诗意遮蔽着，是庸常的、缺乏艺术质感的，而文学又必须是充满诗意的，那么，文学活动的第一步就应该是对生活进行异质化处理，也就是把客观生活改造成能够体现人生的普遍经验的、心灵化和情态化了的主客观相统一的诗意的生活。

上述思想作为一种创作理念，与传统的强调文学与生活同质性的“模仿”和“再现”理论，有着较大的区别。

江苏省南京师范大学附属中学2021届高三下期第二次月考试题

江苏省南京师范大学附属中学2021届高三下期第二次月考试题英语试题注意事项：1．答卷前，考生务必将自己的姓名、考生号、考场号、座位号填写在答题卡上。

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，用橡皮檫干净后，再选涂其他答案标号。

回答非选择题时，将答案写在打题卡上，写在试卷上无效。

3．考试结束后，将本试卷和答题卡一并交回。

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。

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。

例：How much is the shirt?A. £19.15.B. £9.18.C. £9.15.答案是C。

听第9段材料，回答第13至16题．1．What does the man want to do？A．Take photos B．Buy a camera C．Help the woman．2．What are the speakers talking about？A．A noisy night B．Their life in town C．A place of living．3．Where is the man now？A．on his way B．In a restaurant C．At home．4．What will Celia do？A．find a player B．Watch a game C．Play basketball．5．What day is it when the conversation takes place？A．Saturday B．Sunday C．Monday．第二节(共15小题:每小题1.5分，满分22.5分)听下面5段对话。

2024届江苏省南京师范大学附属扬子中学高三第二次模拟考试数学试卷

2024届江苏省南京师范大学附属扬子中学高三第二次模拟考试数学试卷一、单选题1．若i 13i z z +=+，则zz =（）A ．2B ．1C D ．52．设集合{}{}1,,0,3,38A a B a a =-=--，若A B ⊆，则=a （） A ．0B ．1C ．2D ．33．已知α，β，γ是三个不同的平面，m ，n 是两条不同的直线，且m αγ=I ，n βγ=I 则“//m n ”是“//αβ”的（） A ．充分不必要条件 B ．必要不充分条件 C ．充要条件D ．既不充分也不必要条件4．已知甲同学从学校的2个科技类社团，4个艺术类社团，3个体育类社团中选择报名参加，若甲报名了两个社团，则在仅有一个是艺术类社团的条件下，另一个是体育类社团的概率（）A ．35B ．613C ．12D ．345．已知公比不为1的等比数列{}n a 的前n 项和为n S ，若数列{}n n S a +是首项为1的等差数列，则3a =（） A ．12B ．23C ．14D ．186．学校某生物老师指导学生培育了一盆绿萝放置在教室内，绿萝底部的盆近似看成一个圆台，圆台的上、下底面半径之比为5:3，母线长为8cm ，其母线与底面所成的角为60o ，则这个圆台的体积为（）A 3cmB 3cmC 3cmD 3cm 7．如图，函数()sin()f x x ωϕ=+的部分图象，若点C 是AB 中点，则点B 的纵坐标为（）A B C 1 D 8．若函数()x xf x a b =+在()0,∞+上单调递增，则a 和b 的可能取值为（）A ．ln1.2,5a b ==B ．ln15,0.2a b ==C ．0.2e ,0.8a b ==D ． 1.8e ,0.2a b ==二、多选题9．下列说法中，正确的是（）A ．设有一个经验回归方程为12y x =-$，变量x 增加1个单位时，$y 平均增加2个单位 B ．已知随机变量()20,N ξσ~，若()20.2P ξ>=，则()220.6P ξ-≤≤=C ．两组样本数据1234,,,x x x x 和1234,,,y y y y .若已知10i i x y +=且()1,2,3,4i i x y i <=，则10x y +=D ．已知一系列样本点()(),1,2,3,i i x y i =⋅⋅⋅的经验回归方程为$$3y x a=+，若样本点(),3m 与()2,n 的残差相等，则39m n +=10．已知ABC V 内角A ，B ，C 的对边分别为a ，b ，c ，O 为ABC V 的重心，1cos 5A =，2AO =，则（）A ．1133AO AB AC =+u u u r u u u r u u u rB ．3AB AC ⋅≤u u u r u u u rC ．ABC V 的面积的最大值为D ．a 的最小值为11．双曲抛物线又称马鞍面，其形似马具中的马鞍表面而得名．其在力学、建筑学、美学中有着广泛的应用．在空间直角坐标系中，将一条xOz 平面内开口向上的抛物线沿着另一条yOz 平面内开口向下的抛物线滑动（两条抛物线的顶点重合）所形成的就是马鞍面，其坐标原点被称为马鞍面的鞍点，其标准方程为22222(0,0)x y z a b a b-=>>，则下列说法正确的是（）A ．用平行于xOy 平面的面截马鞍面，所得轨迹为双曲线B ．用法向量为()1,0,0的平面截马鞍面所得轨迹为抛物线C ．用垂直于y 轴的平面截马鞍面所得轨迹为双曲线D ．用过原点且法向量为()1,1,0的平面截马鞍面所得轨迹为抛物线三、填空题 12．已知二项式)5nx 的展开式中第4项与第8项的二项式系数相等，n =．13．如图，在ABC V 中，π6DAC ∠=，2,AC CD D ==为边BC 上的一点，且AD AB ⊥，则AB =.14．已知双曲线2222:1(0,0)x y E a b a b-=>>，斜率为19-的直线与E 的左右两支分别交于,A B两点，点P 的坐标为()1,1-，直线AP 交E 于另一点C ，直线BP 交E 于另一点D .若直线CD的斜率为19-，则E 的离心率为.四、解答题15．已知数列{}n a 的前n 项和为n S ，且()23,22n n a S n a ==+． (1)求数列{}n a 的通项公式； (2)若存在*n ∈N ，使得112231111n n n a a a a a a a λ+++++≥L 成立，求实数λ的取值范围． 16．已知函数()()2ln f x a x a x =--，a ∈R.(1)讨论()f x 的单调性； (2)证明：当0a >时，()ln 232f x a +≤-.17．如图，在三棱锥-P ABC 中，AB BC ⊥，2AB =，BC =PB PC ==BP ，AP ，BC 的中点分别为D ，E ，O ，AD ，点F 在AC 上，BF AO ⊥.(1)证明：//EF 平面ADO ； (2)证明：平面ADO ⊥平面BEF ； (3)求二面角D AO C --的正弦值.18．已知椭圆E ：()222210x y a b a b +=>>的左、右焦点别为1F ，2F ，，过点1F 的动直线l 交E 于A ，B 两点，点A 在x 轴上方，且l 不与x 轴垂直，2ABF △的周长为直线2AF 与E 交于另一点C ，直线2BF 与E 交于另一点D ，点P 为椭圆E 的下顶点，如图.(1)求E 的方程：(2)若过2F 作2F H CD ⊥，垂足为H . （i ）证明：直线CD 过定点；（ii ）求PH 的最大值.19．在三维空间中，单位立方体的顶点坐标可用三维坐标()123,,a a a 表示，其中{}()0,113,N i a i i ∈≤≤∈.而在n 维空间中()2,N n n ≥∈，以单位立方体的顶点坐标可表示为n 维坐标()123,,,,n a a a a ⋅⋅⋅⋅⋅⋅，其中{}()0,11,N i a i n i ∈≤≤∈.现有如下定义：在n 维空间中，()123,,,,n P a a a a ⋅⋅⋅⋅⋅⋅，()123,,,,n Q b b b b ⋅⋅⋅⋅⋅⋅两点的曼哈顿距离为112233n n a b a b a b a b -+-+-+⋅⋅⋅⋅⋅⋅+-(1)在3维单位立方体中任取两个不同顶点，试求所取两点的曼哈顿距离为1的概率； (2)在()2n n ≥维单位立方体中任取两个不同顶点，记随机变量X 为所取两点间的曼哈顿距离（i ）求出X 的分布列与期望；（ii ）证明：随机变量X 的方差小于4n.。

南京师范大学附属中学高三年级模拟考试(Ⅱ)

绝密★启用前南京师范大学附属中学高三年级模拟考试（Ⅱ）物理本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。

满分为150分，考试时间120分钟。

第Ⅰ卷（选择题共40分）考生注意：1．答第Ⅰ卷前，考生务必将自己的姓名、考号、考试科目等项目认真填写清楚并用2B铅笔正确地涂写在答题卡上。

2．每小题选出答案后，答案必须涂在答题卡上由机器阅卷。

考生应用铅笔把答题卡对应题目的答案标号涂黑。

注意试题题号和答题卡编号一一对应，不能错位。

如答案需要更改时，必须将原选项用塑料橡皮擦去，重新选择。

写在试卷上的答案一律不计分。

本卷共10小题，每小题4分，共40分。

在每小题给出的四个选项中，有的小题只有一个选项正确，有的小题有多个选项正确，全部选对的得4分，选不全的得2分，有选错或不答的得0分。

1．1900年德国物理学家普朗克在研究电磁辐射的能量分布时发现，只有认为电磁波的发射和吸收不是连续的，而是一份一份地进行的，每一份的能量等于h ，理论计算的结果才能跟实验事实完全符合，受该理论的启发，其他一些物理学家开展了有关方面的一些研究工作，取得了丰硕的成果。

下列所述符合这种情况的有( )A．麦克斯韦提出的光的电磁说B．汤姆生提出的原子模型C．爱因斯坦提出的光子说D．玻尔提出的"玻尔理论"2．下列说法正确的是（）A．物体在恒力作用下一定做直线运动B．人在加速行驶时，地面对人的摩擦力方向向后C．第一宇宙速度为km/s，因此飞船只有达到km/s才能从地面起飞D．滑动摩擦力可以做正功，也可以做负功3．根据分子动理论，下列关于气体的说法中正确的是（）A．气体的温度越高，气体分子无规则运动越剧烈B．气体的压强越大，气体分子的平均动能越大C．气体分子的平均动能越大，气体的温度越高D．气体的体积越大，气体分子之间的相互作用力越大4．α射线、β射线、γ射线、X射线、红外线，以下关于这5种射线的说法，正确的是（）A．前两种不是电磁波，后三种是电磁波B．前三种传播速度较真空中的光速小，后两种与光速相同C．前三种是原子核发生核反应时放出的，后两种是核外电子发生跃迁时放出的D．前两种是由实物粒子组成的，不具有波粒二象性，后三种是光子组成的，具有波粒二象性5．单匝闭合线框在匀强磁场中，绕垂直于磁场方向的转轴匀速转动。

南京师大附中高三第二次模拟考试

南京师范大学附属中学2024学年下学期高三数学试题第二次月考考试试卷

2019届江苏省南京师范大学附属中学高三第二次模拟考试数学试题Word版含答案

2024学年江苏省南京师大附中高三二模英语试题试卷与答案含解析

江苏省南京市南京师大附中2025届高考仿真卷数学试卷含解析

2024届三省三校(湖南省长郡中学、南京师大附中、浙江省杭州二中)高三下学期高考模拟语文试题及答案

2025届江苏省南京市附中高三二诊模拟考试数学试卷含解析

2021-2022学年江苏省南京师范大学附属中学高三下学期开学摸底考化学试卷 含详解

江苏省南京师大附中2020届高三数学下学期模拟考试试题2含解析

2025届江苏省南京师大附中高三零诊考试物理试题试卷

南京师大附中2023届高三年级模拟考试

南京师大附中高三第二次模拟考试英语试卷1

2021届南京师范大学附属中学高三语文二模试题及答案

江苏省南京师范大学附属中学2021届高三下期第二次月考试题

2024届江苏省南京师范大学附属扬子中学高三第二次模拟考试数学试卷

南京师范大学附属中学高三年级模拟考试(Ⅱ)

2021-2022学年江苏省南京师范大学附属中学高三下学期开学摸底考化学试卷含详解