银川一中高三第四次月考
宁夏回族自治区银川一中2023-2024学年高三上学期第四次月考理科数学试题(解析版)
银川一中2024届高三年级第四次月考数学（理科）一、选择题：本大题共12小题，每小题5分，共60分.每小题给出的四个选项中，只有一项是符合题目要求的.1.设集合{05}A xx =<<∣，104x B x x ⎧⎫+=≤⎨⎬-⎩⎭，则A B = （）A.[]1,4- B.[)1,5- C.(]0,4 D.()0,4【答案】D 【解析】【分析】由分式不等式的解法，解出集合B ，根据集合的交集运算，可得答案.【详解】由不等式104x x +≤-，则等价于()()1404x x x ⎧+-≤⎨≠⎩，解得14x -≤<，所以{}14B x x =-≤<，由{}05A x x =<<，则{}04A B x x ⋂=<<.故选：D.2.复平面上，以原点为起点，平行于虚轴的非零向量所对应的复数一定是（）A.正数 B.负数C.实部不为零的虚数D.纯虚数【答案】D 【解析】【分析】根据向量的坐标写出对应复数，然后判断即可.【详解】由题意可设()()0,0OZ a a =≠，所以对应复数为()i 0a a ≠，此复数为纯虚数，故选：D.3.已知某几何体的三视图如图所示，则该几何体的体积为（）A.20B.32C.203D.323所以该几何体的体积为【答案】D 【解析】【分析】先根据几何体的三视图得出该几何体的直观图，再由几何体的特征得出几何体的体积.【详解】解：如图，根据几何体的三视图可以得出该几何体是底面为矩形的四棱锥E -ABCD ，该几何体的高为EF ，且EF =4，13224433E ABCD V -=⨯⨯⨯=，故选：D.4.“不以规矩，不能成方圆”出自《孟子·离娄章句上》.“规”指圆规，“矩”指由相互垂直的长短两条直尺构成的方尺，是古人用来测量､画圆和方形图案的工具.敦煌壁画就有伏羲女娲手执规矩的记载（如图（1））.今有一块圆形木板，以“矩”量之，如图（2）.若将这块圆形木板截成一块四边形形状的木板，且这块四边形木板的一个内角α满足3cos 5α=，则这块四边形木板周长的最大值为（）A.20cmB.C. D.30cm【答案】D 【解析】【分析】作出图形，利用余弦定理结合基本不等式可求得这个矩形周长的最大值.【详解】由题图（2)cm =.设截得的四边形木板为ABCD ，设A α∠=，AB c =，BD a =，AD b =，BC n =，CD m =，如下图所示.由3cos 5α=且0πα<<可得4sin 5α=，在ABD △中，由正弦定理得sin aα=，解得a =在ABD △中，由余弦定理，得2222cos a b c bc α=+-.，所以，()()()()222222616168055545b c b c b c bc b c b c ++=+-=+-≥+-⨯=，即()2400b c +≤，可得020b c <+≤，当且仅当10b c ==时等号成立.在BCD △中，πBCD α∠=-，由余弦定理可得()222226802cos π5a m n mn m n mn α==+--=++()()()()22224445545m n m n m n mn m n ++=+-≥+-⨯=，即()2100m n +≤，即010m n <+≤，当且仅当5m n ==时等号成立，因此，这块四边形木板周长的最大值为30cm .故选：D.5.若13α<<，24β-<<，则αβ-的取值范围是（）A.31αβ-<-<B.33αβ-<-<C.03αβ<-<D.35αβ-<-<【答案】B 【解析】【分析】利用不等式的性质求解.【详解】∵24β-<<，∴04β≤<，40β-<-≤，又13α<<，∴33αβ-<-<，故选：B.6.已知向量(1,1)a = ，(,1)b x =- 则“()a b b +⊥”是“0x =”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【答案】B 【解析】【分析】根据题意，利用向量垂直的坐标表示，列出方程求得0x =或=1x -，结合充分条件、必要条件的判定方法，即可求解.【详解】由向量(1,1)a = ，(,1)b x =-，可得(1,0)a b x +=+r r ，若()a b b +⊥，可得()(1)0a b b x x +⋅=+= ，解得0x =或=1x -，所以()a b b +⊥是0x =的必要不充分条件.故选：B.7.“莱洛三角形”是机械学家莱洛研究发现的一种曲边三角形，它在很多特殊领域发挥了超常的贡献值．“莱洛三角形”是分别以正三角形的顶点为圆心，以其边长为半径作圆弧，由这三段圆弧组成的曲边三角形（如图所示）．现以边长为4的正三角形作一个“莱洛三角形”，则此“莱洛三角形”的面积为（）A.8π-B.8π-C.16π-D.16π-【答案】A 【解析】【分析】求出正三角形的面积和弓形的面积，进而求出“莱洛三角形”的面积.【详解】正三角形的面积为21π4sin 23⨯=圆弧的长度为π4π433l =⨯=，故一个弓形的面积为18π423l ⨯-=-，故“莱洛三角形”的面积为8π38π3⎛-+=- ⎝.故选：A8.若数列{}n a 满足11a =，1121n n a a +=+，则9a =（）A.10121- B.9121- C.1021- D.921-【答案】B 【解析】【分析】根据题意，由递推公式可得数列11n a ⎧⎫+⎨⎬⎩⎭是等比数列，即可得到数列{}n a 的通项公式，从而得到结果.【详解】因为11a =，1121n n a a +=+，所以111121n n a a +⎛⎫+=+ ⎪⎝⎭，又1112a +=，所以数列11n a ⎧⎫+⎨⎬⎩⎭是首项为2，公比为2的等比数列，所以112n n a +=，即121n n a =-，所以99121a =-.故选：B9.如图，圆柱的轴截面为矩形ABCD ，点M ，N 分别在上、下底面圆上，2NB AN =，2CM MD =，2AB =，3BC =，则异面直线AM 与CN 所成角的余弦值为（）A.10B.4C.5D.20【答案】D 【解析】【分析】作出异面直线AM 与CN 所成角，然后通过解三角形求得所成角的余弦值.【详解】连接,,,,DM CM AN BN BM ，设BM CN P ⋂=，则P 是BM 的中点，设Q 是AB 的中点，连接PQ ，则//PQ AM ，则NPQ ∠是异面直线AM 与CN 所成角或其补角.由于 2NB AN =， 2CMDM =，所以ππ,36BAN NBA ∠=∠=，由于2AB =，而AB 是圆柱底面圆的直径，则AN BN ⊥，所以1,AN BN ==，则122AM PQ AM ====，12CN PN CN ====，而1QN =，在三角形PQN中，由余弦定理得1010313144cos 20NPQ +-+-∠==.故选：D10.已知n S 是等差数列{}n a 的前n 项和，且70a >，690a a +<则（）A.数列{}n a 为递增数列B.80a <C.n S 的最大值为8SD.140S >【答案】B 【解析】【分析】由70a >且78690a a a a +=+<，所以80a <，所以公差870d a a =-<，所以17n ≤≤时0n a >，8n ≥时0n a <，逐项分析判断即可得解.【详解】由70a >且78690a a a a +=+<，所以80a <，故B 正确；所以公差870d a a =-<，数列{}n a 为递减数列，A 错误；由0d <，70a >，80a <，所以17n ≤≤，0n a >，8n ≥时，0n a <，n S 的最大值为7S ，故C 错误；114147814()7()02a a S a a +==+<，故D 错误.故选：B11.银川一中的小组合作学习模式中，每位参与的同学都是受益者，以下这道题就是小组里最关心你成长的那位同桌给你准备的：中国古代数学经典《九章算术》系统地总结了战国秦、汉时期的数学成就，书中将底面为长方形且有一条侧棱与底面垂直的四棱锥称之为阳马，将四个面都为直角三角形的三棱锥称之为鳖臑．如图为一个阳马与一个鳖臑的组合体，已知PA ⊥平面ABCE ，四边形ABCD 为正方形，2AD =，1ED =，若鳖臑P ADE -的外接球的体积为3，则阳马P ABCD -的外接球的表面积等于（）A.15πB.16πC.17πD.18π【答案】C 【解析】【分析】因条件满足“墙角”模型，故可构建长方体模型求解外接球半径，利用公式即得.【详解】如图，因PA ⊥平面ABCE ，AD DE ⊥,故可以构造长方体ADEF PQRS -,易得：长方体ADEF PQRS -的外接球即鳖臑P ADE -的外接球，设球的半径为1R ，PA x =，由12PE R ==，且314π33R =,解得:1R =, 3.x =又因四边形ABCD 为正方形，阳马P ABCD -的外接球即以,,PA AB AD为三条两两垂直的棱组成的正四棱柱的外接球，设其半径为2R22R ==,解得：2172R =故阳马P ABCD -的外接球的表面积为2224π4π(17π.2R =⨯=故选：C.12.若曲线ln y x =与曲线22(0)y x x a x =++<有公切线，则实数a 的取值范围是（）A.(ln 21,)--+∞B.[ln 21,)--+∞C.(ln 21,)-++∞D.[ln 21,)-++∞【答案】A 【解析】【分析】设公切线与函数()ln f x x =切于点111(,ln )(0)A x x x >，设公切线与函数2()2(0)g x x x a x =++<切于点22222(,2)(0)B x x x a x ++<，然后利用导数的几何意义表示出切线方程，则可得21212122ln 1x x x a x ⎧=+⎪⎨⎪-=-⎩，消去1x ，得222ln(22)1a x x =-+-，再构造函数，然后利用导数可求得结果.【详解】设公切线与函数()ln f x x =切于点111(,ln )(0)A x x x >，由()ln f x x =，得1()f x x '=，所以公切线的斜率为11x ，所以公切线方程为1111ln ()-=-y x x x x ，化简得111(ln 1)y x x x =⋅+-，设公切线与函数2()2(0)g x x x a x =++<切于点22222(,2)(0)B x x x a x ++<，由2()2(0)g x x x a x =++<，得()22g x x '=+，则公切线的斜率为222x +，所以公切线方程为22222(2)(22)()y x x a x x x -++=+-，化简得2222(1)y x x x a =+-+，所以21212122ln 1x x x a x ⎧=+⎪⎨⎪-=-⎩，消去1x ，得222ln(22)1a x x =-+-，由1>0x ，得210x -<<，令2()ln(22)1(10)F x x x x =-+--<<，则1()201F x x x '=-<+，所以()F x 在(1,0)-上递减，所以()(0)ln 21F x F >=--，所以由题意得ln 21a >--，即实数a 的取值范围是(ln 21,)--+∞，故选：A【点睛】关键点点睛：此题考查导数的几何意义，考查导数的计算，考查利用导数求函数的最值，解题的关键是利用导数的几何意义表示出公切线方程，考查计算能力，属于较难题.二、填空题：本大题共4小题，每小题5分，共20分.13.若实数,x y 满足约束条件4,2,4,x y x y y +≥⎧⎪-≤⎨⎪≤⎩则2z x y =-+的最大值为________．【答案】4【解析】【分析】依题意可画出可行域，并根据目标函数的几何意义求出其最大值为4.【详解】根据题意，画出可行域如下图中阴影部分所示：易知目标函数2z x y =-+可化为2y x z =+，若要求目标函数z 的最大值，即求出2y x z =+在y 轴上的最大截距即可，易知当2y x =（图中虚线所示）平移到过点A 时，截距最大，显然()0,4A ，则max 4z =，所以2z x y =-+的最大值为4.故答案为：414.已知偶函数()f x 满足()()()422f x f x f +=+，则()2022f =__________．【答案】0【解析】【分析】由偶函数的定义和赋值法，以及找出函数的周期，然后计算即可．【详解】令2x =-，则()()()2222f f f =-+，又()()22f f -=，所以()20f =，于是()()()422f x f x f +=+化为：()()4f x f x +=，所以()f x 的周期4T =，所以()()()20225054220f f f =⨯+==．故答案为：0.15.在ABC 中，已知3AB =，4AC =，3BC =，则BA AC ⋅的值为________.【答案】8-【解析】【分析】根据数量积的定义结合余弦定理运算求解.【详解】由题意可得：cos ⋅=-⋅=-⋅∠uu r uuu r uu u r uuu r uu u r uuu rBA AC AB AC AB AC A22222291698222+-+-+-=-⋅⨯=-=-=-⋅AB AC BC AB AC BC AB AC AB AC ，即8BA AC ⋅=-.故答案为：8-.16.将函数sin y x =的图象向左平移π4个单位长度，再把图象上的所有点的横坐标变为原来的1(0)ωω>倍，纵坐标不变，得到函数()f x ，已知函数()f x 在区间π3π,24⎛⎫⎪⎝⎭上单调递增，则ω的取值范围为__________.【答案】150,,332ω⎛⎤⎡⎤∈⋃ ⎥⎢⎥⎝⎦⎣⎦【解析】【分析】根据函数图像平移变换，写出函数()y f x =的解析式，再由函数()y f x =在区间π3π,24⎛⎫ ⎪⎝⎭上单调递增，列出不等式组求出ω的取值范围即可【详解】将函数sin y x =的图象向左平移π4个单位长度得到πsin 4y x ⎛⎫=+ ⎪⎝⎭的图象,再将图象上每个点的横坐标变为原来的1(0)ωω>倍（纵坐标不变），得到函数()πsin 4y f x x ω⎛⎫==+⎪⎝⎭的图象， 函数()y f x =在区间π3π,24⎛⎫⎪⎝⎭上单调递增，所以3ππ242T ≥-，即ππ4ω≥，解得04ω<≤，①又πππ3ππ24444x ωωω+<+<+，所以πππ2π2423πππ2π442k k ωω⎧+≥-+⎪⎪⎨⎪+≤+⎪⎩，解得3184233k k ω-+≤≤+，②由①②可得150,,332ω⎛⎤⎡⎤∈⋃ ⎥⎢⎥⎝⎦⎣⎦，故答案为:150,,332ω⎛⎤⎡⎤∈⋃ ⎥⎢⎥⎝⎦⎣⎦.三、解答题：共70分.解答应写出必要的文字说明、证明过程或演算步骤.第17~21题为必考题，每个试题考生都必须作答.第22、23题为选考题，考生根据要求作答.（一）必考题：17.如图，在棱长为a 的正方体1111ABCD A B C D -中，M ，N 分别是1AA ，11C D 的中点，过D ，M ，N 三点的平面与正方体的下底面1111D C B A 相交于直线l ．（1）画出直线l 的位置，保留作图痕迹，不需要说明理由；（2）求三棱锥D MNA -的体积．【答案】（1）答案见解析（2）324a 【解析】【分析】（1）延长DM 与11D A 的延长线交于E ，连接NE 即为所求；（2）根据D MNA N DAM V V --=结合三棱锥的体积公式求解出结果.【小问1详解】如图所示直线NE 即为所求：依据如下：延长DM 交11D A 的延长线于E ，连接NE ，则NE 即为直线l 的位置．11E DM D A ∈ ，E DM ∴∈⊂平面DMN ，11E D A ∈⊂平面1111D C B A ，E ∴∈平面DMN ⋂平面1111D C B A ，又由题意显然有N ∈平面DMN ⋂平面1111D C B A ，EN ∴⊂平面DMN ⋂平面1111D C B A ，则NE 即为直线l 的位置．【小问2详解】因为D MNA N DAM V V --=，所以3111112332224D MNA DAMa aa V ND S a -⨯=⨯⨯=⨯⨯= .18.已知数列{}n a 是等比数列，满足13a =，424a =，数列{}nb 满足14b =，422b =，设n n nc a b =-，且{}n c 是等差数列.（1）求数列{}n a 和{}n c 的通项公式；（2）求{}n b 的通项公式和前n 项和n T .【答案】18.13·2n n a -=，2n c n =-19.1322n n b n -=⋅+-，21332322=⋅-+-n n T n n 【解析】【分析】（1）根据等差数列、等比数列定义求解；（2）先写出数列{}n b 的通项公式，再分组求和即可求解.【小问1详解】设等比数列{}n a 的公比为q ，因为13a =，34124a a q ==，所以2q =，即132n n a -=⋅，设等差数列{}n c 公差为d ，因为1111c a b =-=-，444132c a b c d =-=+=，所以1d =，即2n c n =-.【小问2详解】因为n n n c a b =-，所以n n n b a c =-,由（1）可得1322n n b n -=⋅+-，设{}n b 前n 项和为n T ，()()131242212-=⋅+++⋅⋅⋅++-++⋅⋅⋅+n n T n n 21232122n n n n -+=⋅+--21332322n n n =⋅-+-.19.为践行两会精神，关注民生问题，某市积极优化市民居住环境，进行污水排放管道建设.如图是该市的一矩形区域地块ABCD ，30m AB =，15m AD =，有关部门划定了以D 为圆心，AD 为半径的四分之一圆的地块为古树保护区.若排污管道的入口为AB 边上的点E ，出口为CD 边上的点F ，施工要求EF 与古树保护区边界相切，EF 右侧的四边形BCFE 将作为绿地保护生态区. 1.732≈，长度精确到0.1m ，面积精确到20.01m ）（1）若30ADE ∠=︒，求EF 的长；（2）当入口E 在AB 上什么位置时，生态区的面积最大?最大是多少?【答案】（1）17.3m（2）AE =2255.15m 【解析】【分析】（1）根据DH HE ⊥得Rt Rt DHE DAE ≅ ，然后利用锐角三角函数求出EF 即可；（2）设ADE θ∠=，结合锐角三角函数定义可表示,AE HF ，然后表示出面积，结合二倍角公式化简，再利用基本不等式求解.【小问1详解】设切点为H ，连结DH ，如图.15DH DA == ，DA AE ⊥，DH HE ⊥，Rt Rt DHE DAE ∴≅△△；30HDE ADE HDF ∴∠=∠=∠=︒；15tan 3015tan 3017.3m EF EH HF ∴=+=︒+︒≈.【小问2详解】设ADE θ∠=，则902EDH θ∠=︒-，15tan AE θ∴=，()15tan 902HF θ︒=-.()1111515tan 1515tan 1515tan 902222ADE DHE DHF AEFD S S S S θθθ=+=⨯⨯++⨯⨯+⨯⨯︒-△△△梯形 2225111tan 31225tan 225tan 225tan 2tan 222tan 44tan θθθθθθθ⎛⎫-⎛⎫=+=+⨯=+ ⎪ ⎪⎝⎭⎝⎭22513tan 4tan 2θθ⎛⎫=+≥⎪⎝⎭，当且仅当tan 3θ=，即30θ=︒时，等号成立，30152ABCD BCFE AEFD S S S ∴=-=⨯-梯形梯形矩形，15tan AE θ∴==时，生态区即梯形BCEF 的面积最大，最大面积为2450255.15m 2-≈.20.已知向量()π2cos ,cos21,sin ,16a x x b x ⎛⎫⎛⎫=+=+- ⎪ ⎪⎝⎭⎝⎭.设函数()1,R 2f x a b x =⋅+∈ .（1）求函数()f x 的解析式及其单调递增区间；（2）将()f x 图象向左平移π4个单位长度得到()g x 图象，若方程()21g x n -=在π0,2x ⎡⎤∈⎢⎥⎣⎦上有两个不同的解12,x x ，求实数n 的取值范围，并求()12sin2x x +的值.【答案】（1）()πsin 26f x x ⎛⎫=-⎪⎝⎭，()πππ,π,Z 63k k k ⎡⎤-++∈⎢⎥⎣⎦（2）实数n的取值范围是)1,1-，()12sin22x x +=【解析】【分析】（1）利用向量数量积的坐标公式和三角恒等变换的公式化简即可;（2）利用函数的平移求出()g x 的解析式，然后利用三角函数的图像和性质求解即可.【小问1详解】由题意可知()1π1112cos sin cos212cos sin cos cos2262222f x a b x x x x x x x ⎛⎫⎛⎫=⋅+=⋅+--+=⋅+-- ⎪ ⎪ ⎪⎝⎭⎝⎭21cos211cos cos cos2=sin2cos22222x x x x x x x +=⋅+--+--1πsin2cos2sin 2226x x x ⎛⎫=-=- ⎪⎝⎭()πsin 26f x x ⎛⎫∴=- ⎪⎝⎭.由πππ2π22π,Z 262k x k k -+≤-≤+∈，可得ππππ,Z 63k x k k -+≤≤+∈，∴函数()f x 的单调增区间为()πππ,π,Z 63k k k ⎡⎤-++∈⎢⎥⎣⎦.【小问2详解】()ππππsin 2sin 24463g x f x x x ⎛⎫⎛⎫⎛⎫⎛⎫=+=+-=+ ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭，πππ2π22π,Z 232k x k k -+<+<+∈ ，得5ππππ,Z 1212k x k k -+<<+∈，()πsin 23g x x ⎛⎫∴=+ ⎪⎝⎭在区间()5πππ,πZ 1212k k k ⎛⎫-++∈ ⎪⎝⎭上单调递增，同理可求得()πsin 23g x x ⎛⎫=+ ⎪⎝⎭在区间()π7ππ,πZ 1212k k k ⎛⎫++∈ ⎪⎝⎭上单调递减，且()g x 的图象关于直线ππ,Z 122k x k =+∈对称，方程()21g x n -=，即()12n g x +=，∴当π0,2x ⎡⎤∈⎢⎥⎣⎦时，方程()12n g x +=有两个不同的解12,x x ，由()g x 单调性知，()g x 在区间π0,12⎡⎤⎢⎥⎣⎦上单调递增，在区间π12π,2⎡⎤⎢⎥⎣⎦上单调递减，且()πππ0,1,,261222g g g g ⎛⎫⎛⎫⎛⎫====- ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭故当31122n +≤<时，方程()12n g x +=有两个不同的解12,,x x11n -≤<，实数n 的取值范围是)1,1-.又()g x 的图象关于直线π12x =对称，12π212x x +∴=，即()1212π3,sin262x x x x +=∴+=.21.已知函数()ln 1,R f x x ax a =-+∈.（1）若0x ∃>，使得()0f x ≥成立，求实数a 的取值范围；（2）证明：对任意的2222*22221223341N ,e,e 112233k k k k k+++++∈⨯⨯⨯⨯<++++ 为自然对数的底数.【答案】（1）1a ≤；（2）证明见解析.【解析】【分析】（1）变形不等式()0f x ≥，分离参数并构造函数，再求出函数的最大值即得.（2）由（1）的信息可得ln 1(1)x x x <->，令221(N )x k k k k k*+∈+=+，再利用不等式性质、对数运算、数列求和推理即得.【小问1详解】函数()ln 1f x x ax =-+，则不等式()ln 10ln 1x f x ax x a x +≥⇔≤+⇔≤，令ln 1()x g x x+=，求导得2ln ()xg x x'=-，当(0,1)x ∈时，()0g x '>，函数()g x 递增，当(1,)x ∈+∞时，()0g x '<，函数()g x 递减，因此当1x =时，max ()1g x =，依题意，1a ≤，所以实数a 的取值范围是1a ≤.【小问2详解】由（1）知，当1x >时，()(1)g x g <，即当1x >时，ln 1x x <-，而当N k *∈时，222111111()11k k k k k k k k ++=+=+->+++，因此2211111ln 1()111k k k k k k k k ++<+--=-+++，于是222222221223341ln ln ln ln 112233k k k k +++++++++++++ 11111111(1)()()()112233411k k k <-+-+-++-=-<++ ，即有222222*********ln()1112233k k k k +++++⨯⨯⨯⨯<++++ ，所以222222*********e 112233k k k k+++++⨯⨯⨯⨯<++++ .【点睛】结论点睛：函数()y f x =的定义区间为D ，(1)若x D ∀∈，总有()m f x <成立，则min ()m f x <；(2)若x D ∀∈，总有()m f x >成立，则max ()m f x >；(3)若x D ∃∈，使得()m f x <成立，则max ()m f x <；(4)若x D ∃∈，使得()m f x >成立，则min ()m f x >.（二）选考题：共10分.请考生在第22、23题中任选一道作答.如果多做，则按所做的第一题计分.【选修4-4：坐标系与参数方程】22.在直角坐标系xOy 中，曲线C 的参数方程为33x t ty t t ⎧=+⎪⎪⎨⎪=-⎪⎩（t 为参数）．以O 为极点，x 轴正半轴为极轴建立极坐标系，直线l 的极坐标方程为()2π3θρ=∈R ．（1）求C 的普通方程和直线l 的直角坐标方程；（2）若点P 是C 上的一点，求点P 到直线l 的距离的最小值．【答案】（1）C 的普通方程2212x y -=；直线l0y +=（2【解析】【分析】（1）利用消参法求C 的普通方程，根据极坐标可知直线l 表示过坐标原点O ，倾斜角为2π3的直线，进而可得斜率和直线方程；（2）设33,P t t t t ⎛⎫+- ⎪⎝⎭，利用点到直线的距离结合基本不等式运算求解.【小问1详解】因为曲线C 的参数方程为33x t ty t t ⎧=+⎪⎪⎨⎪=-⎪⎩（t 为参数），两式平方相减得22223312x y t t t t ⎛⎫⎛⎫-=+--= ⎪ ⎪⎝⎭⎝⎭，即C 的普通方程2212x y -=；又因为直线l 的极坐标方程为()2π3θρ=∈R ，表示过坐标原点O ，倾斜角为2π3的直线，可得直线l的斜率2πtan 3k ==，所以直线l的直角坐标方程y =0y +=.【小问2详解】由题意可设33,P t t t t ⎛⎫+- ⎪⎝⎭，设点33,P t t t t ⎛⎫+- ⎪⎝⎭到直线l0y +=的距离为d ，则d =当且仅当))311t t+=，即(232t=-时，等号成立，所以点P 到直线l .【选修4-5：不等式选讲】23.已知函数()22f x x x =-++.（1）求不等式()24f x x ≥+的解集；（2）若()f x 的最小值为k ，且实数,,a b c ，满足()a b c k +=，求证：22228a b c ++≥.【答案】（1）(,0]-∞（2）证明见解析【解析】【分析】（1）根据题意分<2x -、22x -≤≤和2x >三种情况解不等式，综合可得出原不等式的解集；（2）利用绝对值三角不等式可求得()f x 的最小值，再利用基本不等式可证得所证不等式成立.【小问1详解】由题意可知：2,2()224,222,2x x f x x x x x x -<-⎧⎪=-++=-≤≤⎨⎪>⎩，①当<2x -时，不等式即为224x x -≥+，解得1x ≤-，所以<2x -；②当22x -≤≤时，不等式即为424x ≥+，解得0x ≤，所以20x -≤≤；③当2x >时，不等式即为224x x ≥+，无解，即x ∈∅；综上所示：不等式()24f x x ≥+的解集为(,0]-∞.【小问2详解】由绝对值不等式的性质可得：()22(2)(2)4=-++≥--+=f x x x x x ，当且仅当22x -≤≤时，等号成立，所以()f x 取最小值4，即4k =，可得()4+=a b c ，即4ab ac +=，所以()()22222222228a b c a bac ab ac ++=+++≥+=当且仅当22224ab ac a b b c +=⎧⎪=⎨⎪=⎩，即a b c ===时，等号成立.。
宁夏银川市宁夏大学附中2020届高三上学期第四次月考英语试卷
英语试卷第¢ñ卷第一部分：听力（共两节,满分30分）第一节（共5小题；每小题1.5分,满分7.5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What will James do tomorrow?A. Watch a TV program.B. Give a talk.C. Write a report.2. What can we say about the woman?A. She’s generous.B. She’s helpfulC. She’s curious.3. When does the train leave?A. At 6:30.B. At 10:30C.At 8:30.4. How does the woman go to work?A. By car.B. By bike.C. On foot.5. What is the probable relationship between the speakers?A. Classmates.B. Teacher and student.C. Doctor and patient.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料，回答第6、7题。
6. What does the woman regret?A. Giving up her research .B. Changing her major.C. Dropping out of college.7. What is the woman interested in studying now?A. Ecology.B. Education.C. Chemistry.听第7段材料，回答第8、9题。
宁夏银川一中2015届高三上学期第四次月考语文试题
宁夏银川一中2015届高三上学期第四次月考语文试题高三2010-12-27 10:54银川一中2015届高三年级第四次月考语文试卷2010.11注意事项：本试卷分第I卷（阅读题）和第Ⅱ卷（表达题）两部分，其中第Ⅱ卷第三、四题为选考题，其它题为必考题。
第Ⅰ卷阅读题(共70分)甲必考题(45分)一、现代文阅读（9分，每小题3分）汉字的魅力优于拼音文字说到汉字，不能不提及世界文明史。
世界的古代文明，可以说就是尼罗河流域的埃及圈，幼发拉底河、底格里斯河流域的美索不达米亚圈，印度河、恒河流域的印度圈，黄河、长江流域的中国圈等四大文明。
这四大文明之中，前三者互相交往而发展，成为近代文明的源流，只有中国几乎未与其它文化产生关联而独自发展出汉字文化圈。
国人对此是充满自豪感的，无论是对汉字的发展历史，还是对汉字所承载的中国独具的文字文明和文化底蕴。
但是，由于汉字自身的特点所带来的缺陷，如撰文用字多、字型复杂、难记、难读，在过去几十年中，汉字的未来与发展前景便广受汉字文化圈中一些国家的关注和议论。
但肯定的一点是，要想准确把握汉字的功过是非，必须仔细回顾和耐心审视汉字所走过的历程。
写于1988年的《图说汉字的历史》引进出版，该书作者阿辻哲次以“事典”的形式，图文并茂地对汉字发展史上的基本事项进行了简洁却明晰的梳理和叙述，从新石器时代开始到现代的汉字发展史，从前印刷时代的汉字书写工具材料史到汉字印刷的发展史……意在为学习汉字、使用汉字的人提供更多的相关知识，让那些对汉字有成见的人明白：现在就想把拥有四千余年悠久历史、担负着人类文明发展一翼的汉字塞进博物馆里，还为时尚早。
汉字的表记法从古代到现代是连续发展的，从甲骨文、青铜器文字、篆体字，到隶、行、楷，没有文化断层。
汉字不是拼音文字，而是图形文字，以物的图形为基础而形成文字，例如“山”、“川”、“日”、“月”等。
而与汉字、汉学有关的律令制度，如国家概念、产业、生活、文化等，也都跨越广阔的版图，从中国中原，传播到东方的朝鲜、日本，南方的越南，用文字连结了中国与周边世界的文化。
高三第四次月考政治试卷答案
12．某专门出口农用车企业2012年共生产出口欧盟的农用车400辆，其价值总额为人民币2000万元，该企业整车生产用时仅为同行业的80%。
为应对持续发酵欧债危机，该企业2013年计划减少20%的产量，并主动降价20%。
在其他条件不变的情况下，该企业2013年农用车的价值总额用人民币表示比2012年A．少400万元 B．多480万元 C．少200万元D．多360万元13．消费是随收入增加而相应增加的，但对某一类产品的消费增加幅度一般低于收入增加幅度，且随着收入的增加而递减，这一现象被称为边际消费倾向。
对此，企业可采取的有效措施是①及时调整产品结构，实现产品升级换代②规范行业竞争行为，树立良好企业形象③逐步淘汰主营业务，实施市场多元战略④拓宽产品销售渠道，开发新兴潜在市场A.①②B.②③C.②④D.①④14．结合图表信息回答从贸易结构上看，中国出口产品中相当一部分是“设计和利润留在欧、美、日，GDP 和能耗留在中国”。
这启示我们要:①推动区域协调发展，缩小城乡发展差距②创新利用外资方式，加大外资引进力度③转变经济发展方式，加快经济结构调整④坚持自主创新，增强可持续发展能力A．①②B．①③C．②④ D．③④15．“樱桃甜豆腐香，安居乐业奔小康；家园美情谊深，饮水思泉感国恩”是重建后北川羌族自治县人民的心声。
各族群众在地震的灾后恢复重建中，舍小家为大家，先集体后个人，展现了中华民族团结奋斗的民族品格和风雨同舟的强大力量。
材料启示我们：①维护民族团结，是经济发展、社会进步和共克时艰的保证②实现共同繁荣，是维护民族团结的政治前提和物质保证③巩固民族关系，充分彰显民族区域自治制度的优越性④弘扬民族精神，为社会主义现代化建设提供精神动力A．①② B．③④ C．①④D．②③16．在构建社会主义和谐社会中，宗教界在党和政府的组织引导下，在捐资助学、抗击灾害、修桥铺路、扶危济困、保护生态环境、抵御境外势力利用宗教进行渗透、维护国家统一、民族团结和社会稳定上发挥了重要的作用。
2022-2023学年宁夏银川一中高三上学期第四次月考英语试题(原卷版)
银川一中2023届高三年级第四次月考英语试卷注意事项：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，选出每小题的答案后，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，再选涂其他答案标号。
回答非选择题时，将答案写在答题卡上。
写在本试卷及草稿纸上无效。
3．考试结束后，将本试卷和答题卡一并交回。
第一部分：听力理解(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：每小题分，满分分)听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. Who is having a holiday abroad?A. David.B. Mike.C. John.2. What time does the next plane to London leave?A. At 10:00.B. At 11:00.C. At 12:00.3. What is Mr. Thomas’s life like now?A. Worse than before.B. Happier than before.C. As good as before.4. Why won’t the man go to the movies with Helen?A. She is not in the mood.B. She likes talking during a movie.C. She doesn’t want to go out with him.5. What is the man trying to do?A. Deliver some bad news.B. Find a new position.C. Make a speech.第二节(共15小题;每小题分，满分分)听下面5段对话或独白。
宁夏回族自治区银川一中2023-2024学年高三上学期第四次月考语文试题及答案
银川一中2024届高三年级第四次月考语文试卷注意事项：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．作答时，务必将答案写在答题卡上，写在本试卷及草稿纸上无效。
3．考试结束后，将本试卷和答题卡一并交回。
一、现代文阅读（36分）（一）论述类文本阅读（本题共3小题，9分)任何技术都不是从天而降的，技术是人类造物精华的再现。
技术能够如此深刻地改变人类社会，并非因为它是点石成金的“现代魔法”，而是因为人类发明技术就是为了改变生产生活方式，其中必然包括了对社会关系的改变。
从这个意义上说，“数字技术改变社会关系”的表达倒置了因果，改变社会关系其实是因，技术创新才是果。
越是对社会影响深刻的革命性技术，其中蕴含发明人改变社会的动机就越强。
为何“反技术依赖”现象会以这种因果倒置的样貌大行其道呢？这是因为在技术和社会关系的公开讨论中，人们常常忽视了一个重要事实：每一项技术都是人创造的，反之则不然，并非社会中的每个人都参与了技术的创生。
因此，不同经济条件、不同教育背景、不同年龄阶段及不同职业的社会群体，面对技术特别是颠覆性、革命性技术带来的冲击时必然会产生分化，进而出现数字技术驱动的社会新阶层重组，如日趋显现的“数字移民”、“数字原住民”和“数字难民”等，这种新的阶层基础较之传统的社会阶层基础在解读上述现象时显然更为恰当。
“数字移民”是数字技术改造社会的亲历者，从固定电话、BB机、模拟机到数字机、功能机、智能机、智能手表，他们经历了数字技术在我国从无到有，再到逐渐支配生活的全过程，技术的飞速发展不断刷新着生产工具、生活方式乃至社会体验，裹挟着中国社会从工业化向数字化迈进、从现实社会向网络空间迁移的过程。
正是“数字移民”所在的这代人促成了我国过去三十年数字技术的飞速发展，他们既是改变时代的推手，也是被时代改变的对象，故而面对“技术改变社会”的态度是五味杂陈的。
他们既有“技术颠覆”乐见其成的进取，也有“故土难离”网络隐居的保守，还有“反依赖、不反技术”的纠结，这就使其内部开始出现意见分歧和行为分化。
宁夏银川一中2021届高三第四次月考数学文试题含答案
6 c
6 ，即 c2 4c 2 0 . 3
若 ABC 满足②，③，④由正弦定理 a b ，即 sin A sin B
6 3
22 sin B
，解得 sin
B
1，
2
所以 c
2
，所以
ABC
的面积
S
1 2
bc
sin
A
3.
20．【解析】解：（1）
，
平面
，
平面
，
平面
，即 平面 BEF，
-7-
又 正方体
(1)若 P 为 AA1 上的一点，则 P 到平面 BDD1B1 的距离． (2)求三棱锥 E-ABF 的体积．
21．(12 分)
-3-
已知函数 f x 1 x2 2ax ln x ， a R .
2
（1）讨论 f x 的单调性； （2）若 f x 有两个极值点 x1 、 x2 x1 x2 ，求 f x2 2 f x1 的取值范围.
的棱长为 1，
到平面 BEF 的距离为 到 的距离 ，
若 P 为 上的一点，则 P 到平面 BEF 的距离为 ，故 正确；
（2）
，
设 AC，BD 交于点 O，
平面
，
，
，
21．（1）见解析；（2）
,
1 2
3 2
ln
2
.
【解析】
（1）函数 f x 1 x2 2ax ln x 的定义域为 0, ，
中点，则下列结论中不成立的是
A． EF 与 BB1 垂直
B． EF 平面 BDD1B1
C． EF 与 C1D 所成的角为 45
D． EF // 平面 A1B1C1D1
宁夏银川一中高三历史上学期第四次月考试卷(含解析)
银川一中2014届高三年级第四次月考文科综合试卷第Ⅰ卷(选择题，140分)本卷共35个小题，每小题4分，共140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。
24. “豆”的本义指古代的一种盛食物的器皿，形似高足盘，或有盖。
新石器时代晚期开始出现，盛行于商周，常作礼器，多陶制，也有青铜制或木制涂漆的，《左传·昭公三年》载：“四升为豆。
”结合图6，以下说法正确的有①“豆”属象形文字，汉字中从“豆”的字往往与食器或豆类有关②汉字是从原始图画演变而来③“豆”为中国古代的一种容器和容量单位④中国古代礼器的使用受到礼乐制度的规范A．①②③④ B．①③④图6C．①②③ D．②③④【答案】A考点：礼乐制度；汉字。
汉字是世界上最古老的文字之一，在形体上逐渐由图形变为由笔画构成的方块形符号，由象形文字演变成兼表音义的意音文字，具有集形象、声音和辞义三者于一体的特性。
据本题文字和图片材料，并结合教材“礼乐制度”内容可判断A项正确。
25．《通典》记载：“（汉）文帝十三年，以御史不奉法，下失其职，乃遣丞相史出刺，并督监察御史。
”《新唐书，百官志》记载：左右丞“掌辩六官之仪，纠正省内，劾御史举不当者”。
《金史》记载：“己卯，制纠弹之官知有犯法而不举者，减犯人罪一等科之，关亲者许回避。
”上述材料说明A. 弹劾是中国古代监察的一项重要权力B. 中国古代监察制度重视监察官员的素质C. 中国古代监察机构的权力来自皇权D. 中国古代监察制度逐步走向完善与成熟【答案】D考点：古代监察制度。
此题考查的是对中国古代监察制度发展沿革的理解。
根据题干提供的信息和所学史实，汉代刺史、唐朝丞相、金朝纠弹之官的设立反映了中国古代监察制度的发展完善过程。
故正确选项是D。
A项错误，中国古代并未形成弹劾的权利；B项错误，材料并未体现监察官员素质的问题；C项本身说法正确，但是与材料无关。
26. 罗马法内容广泛，既包含《十二铜表法》、万民法，也包含皇帝敕令和元老院决议。
2021年宁夏银川一中高三英语月考试题及答案
2021年宁夏银川一中高三英语月考试题及答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30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AThe 2021 Weibo Movie Night—an award ceremony jointly organized by Sina Weibo and China Movie Channel—was held on June 12, gathering around 100 filmmakers and A-list stars. Following are some upcoming films.BipolarCast: Dou Jingtong, Tian Zhuangzhuang and Wang ZhiwenDirector: Li MengqiaoAudience will follow a young woman’s unusual trip across China,who wishes to send a stolen lobster (龙虾) back to the sea. Li said that it’s a sort of experiment, examining the line between dreams and reality. Andthis is singer-actress Dou Jingtong’s first leading role.On Your MarkCast: Wang Yanhui and Zhang YouhaoDirector: Chiu Keng Gua (Malaysia)Inspired from a true story,On Your Markis about a taxi driver and his son, a marathon enthusiast who’s struggling with a visually-impaired disease. In order to help his son to realize his dream, the father joins a marathon training group to serve as his son’s personal “competition assistant”. This film is expected to tug the heartstrings of moviegoers near Father’s Day.TheBattleatLakeChangjinCast: Wu Jing, Hu Jun, Li Chen and Zhang HanyuDirector: Chen Kaige, Tsui Hark and Dante LamThe film centers on how the Chinese People’s Volunteers fearlessly fought against foreign invaders during an extremely cold winter. The battle destroyed around 13,000 enemies of US troops, becoming a turning point to lay the foundation for the final victory.Chinese DoctorsCast: Zhang Hanyu, Yuan Quan, Zhu Yawen and Li ChenDirector: Liu WeiqiangAdapted from true stories, it is about Chinese medical staff’s battle to rescue lives during the COVID-19 outbreak last year inWuhanJinyintanHospital.1. Who plays the leading role inBipolar?A. Dou Jingtong.B. Yuan Quan.C. Li Mengqiao.D. Zhang Hanyu.2. Which film focuses on the war betweenChinaand theU.S.?A.Bipolar.B.On Your Mark.C.Chinese Doctors.D.TheBattleatLakeChangjin.3. What doOn Your MarkandChinese Doctorshave in common?A. They both star Zhang Hanyu.B. They are based on true stories.C. They reflect the efforts to rescue lives.D. They are directed by Chinese directors.BContrary to the long-held belief that plants in the natural world are always in competition, new research has found that in severe environments adult plants help smaller ones and grow well as a result.The research, led by Dr Rocio, studied adult and seedling (幼苗)plants in the ecological desert in the south-east of Spain. Dr Rocio said, “If you're a seedling in a poor land — the top of a mountain or a sand hill, for example-and you’re lucky enough to end up underneath a big plant, your chances of survival are certainly better than if you landed somewhere on your own. What we have found, which was surprising, is an established large plant, called a ‘nurse’, protects a seedling; it also produces more flowers than the same plants of similar large size growing on their own.”Other benefits of nurse-seedling partnerships include that more variety of plants growing together can have a positive effect on the environment. For example, vegetation areas with nurse plants with more flowers might be able to attract higher numbers of pollinators(传粉者)in an area, in turn supporting insect and soil life and even provide a greater range of different fruit types for birds and other animals.“The biggest winner for this system of nursing a plant is biodiversity(生物多样性),” Dr Rocio said. “The more biodiversean area, the greater number of species of plants, insect life, mammals and birds, and the better the chances of long-term healthy functioning of the environment and ecosystems. ” This system is win-win for adult and seedling plants in unfavorable environments.The research is of value to those who manage and protect plants in tough environments. Most home gardeners and farmers plan to ensure their soil and conditions are the best they can be for plant growth, but the findings might be of value to those who garden in bare places.4. What is a common understanding of plants?A. They can help each other.B. They can survive ill conditions.C. They compete with each other.D. They grow well on their own.5. What will happen to seedling plants if they grow under adult plants?A. They will produce more flowers.B. They will die owing to competition.C. They will make adult plants larger.D. They will get support from adult plants.6. What is the effect of the nurse-seedling partnership?A. It leads to unfavorable environments.B. It produces long-term healthy chances.C. It attracts higher and larger pollinators.D It provides a more variety of plant types.7. Who will benefit from the new research?A. People studying organic farming.B. People protecting plants on sand hills.C. People wanting to change biodiversity.D. People keeping more animals on the farm.CAdvertisers tend to think big and perhaps this is why they're always coming in for criticism. Their critics(批评家)seem to hate them because they have so much money to throw around. Why don’t they stop advertising and reduce the price of their goods? After all, it’s the consumer who pays.The poor old consumer! He'd have to pay a great deal more if advertising didn't create mass markets for products. It is precisely because of the heavy advertising that consumer goods are so cheap. But we get the wrong idea if we think the only purpose of advertising is to sell goods. Another equally important function is to inform. A great deal of the knowledge we have about household goods is largely from the advertisements we read. Advertisements introduce us to new products or remind us of the existence of ones we already know about. Supposing you wanted to buy a washing machine, it is more than likely you would obtain details regarding performance, price, etc., from an advertisement.Lots of people pretend that they never read advertisements, but this claim may be seriously doubted. It is hardly possible not to read advertisements these days. And what fun they often are, too! Just think what a railway station or a newspaper would be like without advertisements. Would you enjoy gazing at a blank wall or reading railway byelaws while waiting for a train? A cheerful, witty advertisement makes such a difference to a dull wall or a newspaper full of the incidents and disasters.We must not forget, either, that advertising makes a positive contribution to our pockets. The fact that we pay so little for our daily paper, or can enjoy so many broadcast programmers is due entirely to the money spent by advertisers. Just think what a newspaper would cost if we had to pay its full price!Another thing we mustn't forget is the “small ads.” What a tremendously useful service they perform for the community! Just about anything can be accomplished through these columns. For instance, you can find a job, buy or sell a house, announce a birth, marriage or death in what used to be called the “hatch, match and dispatch” column(栏目) but by far the most fascinating section is the personal or “agony” column. No other item in a newspaper provides such entertaining reading or offers such a deep insight into human nature. It's the best advertisement for advertising there is!8. What is the main idea of this passage?A. Advertisements steal money from our pocketsB. The critics get the wrong idea of advertisements.C. Advertisers perform a useful service to communities.D. Advertisements are everywhere.9. What is the attitude of the author toward advertisements?A. He appreciates the role of advertisements.B. He doubts the effect of advertisements.C. He believes what is said in advertisements.D. He complains too many advertisements in daily life.10. Which of the following is Not True?A. The personal or “agony” column makes us know more about human nature.B. The only purpose of advertising is to sell goods.C. A newspaper will cost us more if there is no advertisement on it.D. Advertisement makes our life color1 ful.11. Whicof the following shows the structure of the passage?( ①=" Paragraph" 1, ②=" paragraph" 2, ③=" paragraph" 3, ④=" paragraph" 4 ⑤=" paragraph" 5)A B.C. D.DAt the World Economic Forum last month, President Trump drew claps when he announced the United States would respond to the forum's proposal to plant one trillion(万亿) trees to fight climate change. The trillion-tree idea won wide attention last summer after a study published in the journal Science concluded thatplanting so many trees was “the most effective climate change solution to date”.If only it were true. But it isn't. Planting trees would slow down the planet's warming, but the only thing that will save us and future generations from paying a huge price in dollars, lives and damage to nature is rapid and considerable reductions in carbon release from fossil fuels, to net zero by 2050.Focusing on trees as the big solution to climate change is a dangerous diversion(偏离). Worse still, it takes attention away from those responsible for the carbon release that are pushing us toward disaster. For example, in the Netherlands, you can pay Shell an additional 1 euro cent for each liter of regular gasoline you put in your tank, to plant trees to balance the carbon release from your driving. That's clearly no more than disaster slightly delayed. The only way to stop this planet from overheating is through political, economic, technological and social solutions that end the use of fossil fuels.There is no way that planting trees, even across a global area the size of theUnited States, can absorb the huge amounts of fossil carbon released from industrial societies. Trees do take up carbon from the atmosphere as they grow. But this uptake merely replaces carbon lost when forests were cleared in the first place, usually longago. Regrowing forests where they once grew can undo some damage done in the past, but even a trillion trees can't store enough carbon to head off dramatic climate changes this century.In a sharp counter argument to last summer's Paper in Science, Justin Gillis wrote in the same journal in October that the study's findings were inconsistent with the dynamics of the global carbon cycle. He warned that “the claimthat global tree restoration(复原) is our most effective climate solution is simply scientifically incorrect and dangerously misleading”.12. What do we know about the trillion-tree idea?A. It was published in a journal.B. It was proposed last summer.C. It was put forward by Trump.D. It drew lots of public attention.13. What is paragraph 3 mainly about?A. A drawback of the tree planting strategy.B. An example of balancing carbon release.C. An anecdote of making a purchase at Shell.D. A responsibility for politicians and economists.14. What was Justin Gillis's attitude towards global tree restoration?A. Indifferent.B. Opposed.C. Hesitant.D. Supportive.15. What is the best title for the text?A. Contradictory Ideas on Tree Planting.B. A Trillion Trees Come to the Rescue.C. Planting Trees Won't Save the World.D. The Best Solution to Climate Change.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
【恒心】2015届宁夏银川一中高三第四次月考理综试题及参考答案【首发纯word版】
-RNAmRNA蛋白质-RNA结构蛋白依赖RNA 的 RNA 聚合酶 ③ 依赖RNA 的 RNA 聚合酶子代EBV① 依赖RNA 的RNA 聚合酶② 翻译④ 组装银川一中2015届高三年级第四次月考理科综合试卷命题人：陈够丽、李建国、杨树斌本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。
其中第Ⅱ卷第33～40题为选考题，其它题为必考题。
考生作答时，将答案写在答题卡上，在本试卷上答题无效。
第Ⅰ卷(共126分)可能用到的相对原子质量（原子量）：H-1 C-12 N-14 O-16 Na-23 S-32 Cl-35.5Fe-56 Cu-64 Co-59 Ba-137一、选择题：本题包括13小题。
每小题6分，共78分，每小题只有一个选项符合题意。
1．下列关于细胞结构和生物体内化合物的叙述正确的是 A ．抗体、激素、tRNA 发挥一次作用后都将失去生物活性 B ．ATP 脱去两个磷酸基团后成为RNA 的基本组成单位之一 C ．蓝藻和绿藻都能进行光合作用，故二者含有的光合色素相同 D ．细菌代谢速率极快，细胞膜和细胞器膜为其提供了结构基础 2．下列与核酸相关的叙述正确的是A ．参与细胞分裂的核酸只有mRNA 和tRNAB ．细胞分化的原因是核DNA 遗传信息改变C ．细胞凋亡的根本原因是DNA 的水解D ．细胞癌变后mRNA 的种类和数量改变3．恶性血液病中一种罕见的因20号染色体长臂部分缺失引发的疾病，引起医学家的关注。
下列与这种病产生原因相似的是A. 线粒体DNA 突变会导致生物性状变异B. 三倍体西瓜植株的高度不育C. 猫叫综合征D. 白化病4. 探究生物的遗传物质和遗传规律的漫长岁月中，众多学者做出卓越贡献，正确的是 A ．萨顿运用假说-演绎法提出基因在染色体上B ．克里克最先预见了遗传信息传递的一般规律，并将其命名为中心法则C ．格里菲思的肺炎双球菌转化实验最早证实DNA 是遗传物质D ．赫尔希等人用T 2噬菌体侵染大肠杆菌的实验，使人们确信 DNA 是主要的遗传物质 5．埃博拉出血热（EBHF ）是由埃博拉病毒（EBV ）（一种丝状单链RNA 病毒）引起的当今世界上最致命的病毒性出血热，目前该病毒已经造成超过5160人死亡。
宁夏回族自治区银川一中2024-2025学年高三第二次月考数学试卷
宁夏回族自治区银川一中2024-2025学年高三第二次月考数学试卷一、单选题1．设集合{}1,4A =，{}240B x x x m =-+=，若{}1A B ⋂=，则集合B =（ ）A ．{}1,3-B ．{}1,3C ．{}1,0D ．{}1,52．已知函数()10,()31x f x a a a -=>≠-恒过定点(),M m n ，则函数1()n g x m x +=+的图象不经过（ ） A ．第一象限B ．第二象限C ．第三象限D ．第四象限3．已知实数a ，b ，c 在数轴上对应的点如图所示，则下列式子中正确的是（ ）A ．b a c a -<+B ．2c ab <C ．c c b a> D ．b c a c <4．已知函数()f x 及其导函数()f x '的定义域均为R ，且()1f x '+为奇函数，则（ ） A ．()10f = B ．()20f '= C ．()()02f f =D ．()()02f f '='5．如图为函数()y f x =在[]6,6-上的图像，则()f x 的解析式只可能是（ ）．A ．())ln cos f x x x =B ．())ln sin f x x x =C ．())ln cos f x x x =D ．())ln sin f x x x =6．当[]0,2πx ∈时，曲线cos y x =与π2cos 36y x ⎛⎫=- ⎪⎝⎭交点的个数为（ ）A ．3B ．4C ．5D ．67．已知3,24ππα⎛⎫∈ ⎪⎝⎭，π1πtan tan 424αα⎛⎫⎛⎫+=- ⎪ ⎪⎝⎭⎝⎭，则21sin 24cos αα-=（）A．6+B ．6-C ．17+D ．17-8．已知(),()f x g x 是定义域为R 的函数，且()f x 是奇函数，()g x 是偶函数，满足2()()2f x g x ax x +=++，若对任意的1212x x <<<，都有()()12125g x g x x x ->--成立，则实数a 的取值范围是（ ） A ．[)0,∞+B ．5,4∞⎡⎫-+⎪⎢⎣⎭C ．5,4∞⎛⎫-+ ⎪⎝⎭D ．5,04⎡⎤-⎢⎥⎣⎦二、多选题9．下列说法正确的是（ ）A ．函数()2f x x =+与()2g x =是同一个函数B ．若函数()f x 的定义域为[]0,3，则函数(3)f x 的定义域为[]0,1C ．已知命题p ：0x ∀>，20x ≥，则命题p 的否定为0x ∃>，20x <D ．定义在R 上的偶函数()f x 满足()(2)0f x f x --=，则函数()f x 的周期为2 10．已知函数()πsin 24f x x ⎛⎫=+ ⎪⎝⎭，则下列说法正确的是（ ）A ．π2是函数()f x 的周期B ．函数()f x 在区间π0,6⎛⎫⎪⎝⎭上单调递增C ．函数()f x 的图象可由函数sin 2y x =向左平移π8个单位长度得到()πsin 24f x x ⎛⎫=+ ⎪⎝⎭D ．函数()f x 的对称轴方程为()ππZ 48k x k =-∈ 11．已知函数()323f x ax ax b =-+，其中实数0,a b >∈R ，则下列结论正确的是（ ）A ．()f x 在()0,∞+上单调递增B ．当()f x 有且仅有3个零点时，b 的取值范围是()0,4aC ．若直线l 与曲线()y f x =有3个不同的交点()()()112233,,,,,A x y B x y C x y ，且AB AC =，则1233x x x ++=D ．当56a b a <<时，过点()2,P a 可以作曲线()y f x =的3条切线三、填空题12．已知函数2()()f x x x a =+在1x =处有极小值，则实数a =．13．已知函数y =f x 为奇函数，且最大值为1，则函数()21y f x =+的最大值和最小值的和为.14．在三角函数部分，我们研究过二倍角公式2cos 22cos 1x x =-，我们还可以用类似方式继续得到三倍角公式．根据你的研究结果解决如下问题：在锐角△ABC 中，角A ，B ，C 的对边分别为a ，b ，c ，若π3A ≤，3cos 4cos 3cos 0C A A +-=，则()14tan tan AB A +-的取值范围是．四、解答题 15．已知函数()cos e xxf x =. (1)讨论函数()f x 在区间()0,π上的单调性；(2)若存在0π0,2x ⎡⎤∈⎢⎥⎣⎦，使得00()0f x x λ-≤成立，求实数λ的取值范围.16．如图，AB 是半圆ACB 的直径，O 为AB 中点，,2OC AB AB ⊥=，直线BD AB ⊥，点P 为»BC 上一动点（包括,B C 两点），Q 与P 关于直线OC 对称，记,,POB PF BD F θ∠=⊥为垂足，,PE AB E ⊥为垂足．(1)记»CP 的长度为1l ，线段PF 长度为2l ，试将12L l l =+表示为θ的函数，并判断其单调性；(2)记扇形POQ 的面积为1S ，四边形PEBF 面积为2S ，求12S S S =+的值域．17．已知函数π()2sin()(0,||)2f x x ωϕωϕ=+><，再从条件①，条件②，条件③这三个条件中选择两个作为一组已知条件，使()f x 的解析式唯一确定．条件①：(0)0f =；条件②：若12()2,()2f x f x ==-，且12x x -的最小值为π2；条件③：()f x 图象的一条对称轴为π4x =-． (1)求()f x 的解析式；(2)设函数()()()6g x f x f x π=++，若π0,2α⎛⎫∈ ⎪⎝⎭，且()2g α=，求π()224f α-的值．18．已知函数(1)()ln 1a x f x x x -=-+．(1)当2a =时，求函数()f x 在点(1,(1))f 处的切线方程；(2)若函数()f x 在区间(0,)+∞上单调递增，求实数a 的取值范围； (3)讨论函数()f x 的零点个数．19．定义：如果函数()f x 在定义域内，存在极大值()1f x 和极小值()2f x ，且存在一个常数k ，使()()()1212f x f x k x x -=-成立，则称函数()f x 为极值可差比函数，常数k 称为该函数的极值差比系数．已知函数()1ln f x x a x x=--．(1)当52a =时，判断()f x 是否为极值可差比函数，并说明理由； (2)是否存在a 使()f x 的极值差比系数为2a -？若存在，求出a 的值；若不存在，请说明理由；(3)52a ≤≤，求()f x 的极值差比系数的取值范围．。
2023-2024学年宁夏回族自治区银川一中高三上学期第四次月考英语试题
2023-2024学年宁夏回族自治区银川一中高三上学期第四次月考英语试题Everybody has experienced it at least once—pulling out a favorite item of clothing from the washing machine only to find that it is now shrunken, discolored, or damaged! It is at this point that you wish you had paid more attention to the washing symbols on the care label. Here, we will explain the most common washing instruction symbols on wash care labels.Now you’ve got the hang of washing labels; you can put your machinemachine.1. What might have happened if you find your trousers damaged after washing?A．You were confused about their materials.B．You forgot setting the machine’s temperature.C．You paid little attention to the washing symbols.D．You washed them without any washing powders.2. What washing symbol can you find on your woolen coat?A．B．C．D．3. How do you wash your hat with a cross through it on its washing symbol?A．Dry it after washing. B．Wash it in the machine.C．Dry-clean it if it is dirty. D．Get it dried before washing.In my early teens, I was once given a film camera as a gift. On receiving it, I jumped on my bike, headed to Wimbledon Common and took photos, just for me: photos of trees and wildlife. I was out all day. On my way home I spotted a tree lit up by street lighting and tried to capture its splendour. Rushing home, I popped the spent film in a special little envelope and sent it off to a photography store, desperate to see how it came out. I took many photos then and loved the fact that when you processed your film you got back colour photos which froze the precious moments, gently encouraging the hobby and the payments for processing.As I grew into adulthood, that simple, deep happiness gradually faded away. One weekend when I was busy answering the work calls, my eyes caught a box in the corner of the room. I suddenly felt a sense of sadness. The stress growing over these years had pushed the camera from beside my pillow to the box in the corner. I thought I needed a change.I took out the camera and dusted it down. It was a great joy that it still worked. I bought new film and took the camera everywhere I went. Now it is always on hand to accompany me on journeys, to allow me time to myself. Even if the day is full and busy, I can seize some moments for myself to take photos, to observe the world around me.The wall of my room now holds all my camera equipment along with photos I’ve taken. To me, the room represents how I’ve found happiness: by reconnecting to the younger part o f myself I laid aside, by allowing room in my life for pleasure to exist, and by creating an environment that allows opportunities for delight.4. What did the author think of taking photos as a young boy?A．Inspiring and practical. B．Troublesome yet delightful.C．Complicated yet engaging. D．Thrilling and rewarding.5. What prevented the author from taking photos according to paragraph 2?A．He was struck by sudden sorrow.B．He was faced with increasing pressure.C．He intended to focus on his workD．He attempted to behave like an adult.6. What did the author get from picking up his hobby?A．More enjoyment in the daily routine. B．New journeys in the wild.C．Better skills of observation. D．Different styles of photography.7. What is the best title for the text?A．Revisiting Lost Childhood MemoriesB．Appreciating Beauty Behind the LensC．Regaining Pleasure Through PhotographyD．Escaping Teenage Sadness with CameraFor all of human history, eating meat has meant killing animals. But scientists behind lab grown meat say that’s no longer necessary. They produce meat by growing cells obtained from an animal’s body.Lab-grown meat, also called “cell-cultivated” or “cultured” meat, is made by feeding a mix of nutrients to animal cells in steel tanks in labs. The idea is to create an alternative to agriculturally raised meat. And unlike other meat substitutes which are made from plant proteins and other ingredients, lab-grown meat is real meat. When ready, the meat is formed into shapes such as sausages or nuggets (块), and looks, smells and tastes like any other grocery store version. Recently, the U. S. Department of Agriculture(USDA) has given two companies approval to sell lab-grown chicken. The approval launches a new era of meat production aimed at eliminating harm to animals, and reducing the environmental impacts of grazing(放牧) and growing feed for animals. Scientists warn that the typical way meat is produced now, in concentrated animal feeding operations, is a risk factor for the emergence of diseases. Lab-grown meat is more sustainable and can be produced without antibiotics, and without producing greenhouse gas emissions linked to animal agriculture.“Everything we know about how meat can be made is going to change. But don’t expect to see cultivated meat in grocery stores just yet,” said Uma Valeti, CEO of UPSIDE Foods. Lab-grown chicken is much more expensive, because it cannot yet be produced on the scale of traditional meat. “To make cultivated meat, energy use needs are high,” said Bruce Friedric h, president and founder of the Good Food Institute, a nonprofit group that promotes alternative proteins. However, the disadvantage of high energy needs will be offset by the reduction in land and water use and other benefits. If cultured meat is produced on a large scale, it could also offer a solution to feeding the world’s growing population.8. What do we know about lab-grown meat?A．It is abundant in plant proteins.B．It can be bought in grocery stores.C．It is generated from animals’ cells.D．It tastes more delicious than traditional meat.9. What is the potential benefit of lab-grown meat?A．More nutrition consumed by eaters.B．Lower costs for restaurants.C．Improvements in traditional agriculture.D．Positive impacts on climate change and animals.10. What problem does the author mention in paragraph 4?A．It is hard to produce lab-grown meat in quantity.B．The USDA doesn’t approve the sale of lab-grown meat.C．Many people raise doubts about the safety of lab-grown meat.D．Lab-grown meat can disturb competition in the meat industry.11. What does the underlined word “offset” in the last paragraph mean?A．Balanced. B．Satisfied. C．Increased. D．Exchanged.The integration of artificial intelligence (AI) in educational technology (EdTech) has brought incomparable convenience and efficiency to classrooms worldwide. However, despite these advancements, it is crucial to recognize the challenges these AI-driven tools pose to the autonomy and professional judgment of instructors.One of its primary concerns is the depersonalization of instruction. These tools often rely on pre-packaged digital content and standardized solutions, leaving insufficient room for instructors to tailor their teaching methods. Each student possesses unique characteristics. Instructors, armed with their wealth of experience and knowledge, are best positioned to tailor their approaches to these individual needs. However, AI-driven tools restrict their ability to do so effectively, resulting in a one-size-fits-all approach that fails to inspire students to reach their maximum potential.EdTech companies offer step-by-step solutions to textbook problems. These are intended to act as study aids. However, some students employ this feature as a means to merely copy solutions without comprehending concepts. Consequently, instances of cheating on assignments and exams become widespread. While these tools may offer convenience, students may use external resources or cooperate with others during quizzes, affecting the honesty of their learning outcomes.The implications of this depersonalization and the increase in academic dishonesty are far-reaching. By decreasing the role of instructors as facilitators of meaningful educational interactions, we run the risk of preventing the growth of critical thinking and problem-solving skills among students. Education should not only focus on knowledge acquisition, but should also develop the ability to analyze, evaluate, and apply that knowledge in real-world contexts. It should help one’s mind grow,not simply memorize information. Through dynamic classroom discussions, cooperative projects, and hands-on activities, instructors play a crucial role in developing these essential skills.While AI-driven EdTech tools undeniably have their virtues, we must not lose sight of the importance of preserving instructor autonomy and educational experience. Instead of relying only on pre-packaged content and standardized solutions, these tools should be designed to empower instructors to adapt and customize their approaches while taking full advantage of the benefits of technology.12. What do the underlined words “the depersonalization of instruction” in paragraph 2 refer to?A．Tailored methods for individuals. B．Instructors’ dependence on Al.C．Insufficient resources of Al-driven tools. D．The one-size-fits-all approach.13. What is paragraph 3 mainly about?A．A possible solution.B．A further problem.C．A well-meant intention.D．A suggested application14. In what aspect do students suffer most with AI-driven EdTech education?A．Thinking skills. B．Teamwork building.C．Interest development. D．Knowledge acquisition.15. What is conveyed about Al-driven EdTech tools in the last paragraph?A．They should be used widely.B．Their benefits deserve our attention.C．Their resources need enriching.D．They should support instructor autonomy.A majority of the people do not read the classics. Their reasons begin with the language being too difficult and end with the storyline to distant to the present context. Love for classics is obviously not at first sight. 16 We begin as acquaintances (泛泛之交) and eventually become close friends with private jokes between us. So how does one approach a classic?Don’t be afraid to be confused.We get it: it’s hard to power through confusion. It doesn’t feel great when a book makes you feel confused. Every reader has to start somewhere. 17 Instead, be proud of yourself for trying, and get excited about all the new things you’ll learn.Research, research, research.18 Researching the author-and the time and place they were writing about-can help you situate yourself during tricky passages. The author’s experience, viewpoint, and historical context might help you make the connections you might not have otherwise.Just pick the book up.This step is self-explanatory. While it’s not hard to just pick a book up, we know how difficult it can be to convince yourself to do so. 19 Take a deep breath, then leap onto the deck (甲板) of Melville’s Pequod or step cautiously throug h the gates of Castle Dracula.Remember: there is no right answer.There is no perfect way to read a classic text. There is no defining interpretation, no singular, exact answer. Your goal as a reader is to discover what aspects and insights are meaningful to you. Enjoy the process. 20 Even if your interpretation of the work isn’t quite perfect, it is still valuable!Around Thanksgiving, I flew to visit my family. A woman across the aisle________to push her suitcase into the tight overhead bin. When we landed, she was pulling, but the suitcase didn’t________. I asked if I could help, ________ she replied, “It’ll come. I got it in, and there has to be a way to get it out.”Her calmness and confidence inspired me, ________ me as a recipe for cultivating (培养) resilience (抗逆力) in life. Resilience is the ability to ________ challenging circumstances, refocus and find ways back into a positive life. The woman’s reaction to her ________ luggage was a beautiful example of cultivating resilience: “________ seeing crises as unsolvable problems. ”The ________ situation might not be a “crisis”, but you know how ________ a plane aisle can be when everyone is trying to get off the plane. The woman never kept herself ________ by recognizing her problem had a solution.The ________ reminded me of something that happened to me this past fall, when I took a solitary (单独的) hike along a rocky ocean path. I was enjoying myself in the fresh air, feeling________ as I picked my way from rock to rock and congratulating myself when I reached the end of the dock. Then I turned around and saw how ________ I had traveled, I felt myself slipping into nervous self-doubt. What if I ________ and twisted my ankle?I took a deep breath and, like the woman on the ________, realized with relief that I could certainly make it ________. When I finally stepped back onto the shore, I not only felt ________, but also confident and accomplished.When ________ plant seeds of “I can’t” in your mind, maybe you’ll remember the woman on the plane. Wherever life has brought you, consider that there is a(n) ________ to coming back to yourself. You have the power of resilience within you whenever you are ________ it.21.A．helped B．refused C．delayed D．struggled22.A．fit B．respond C．move D．open23.A．or B．so C．otherwise D．yet24.A．beating B．striking C．distinguishing D．appreciating 25.A．get into B．give up C．meet with D．adapt to26.A．stuck B．checked C．broken D．delivered27.A．Mind B．Avoid C．Enjoy D．Practice28.A．merciful B．merry C．troublesome D．passive29.A．noisy B．focused C．packed D．changeable 30.A．cast down B．put down C．calmed down D．slowed down 31.A．test B．scene C．performance D．appearance 32.A．dynamic B．fulfilled C．thankful D．thoughtful33.A．far B．soon C．quick D．often34.A．left B．tripped C．returned D．hesitated35.A．shore B．stage C．plane D．ground36.A．up B．out C．away D．back37.A．complicated B．exhausted C．relieved D．frustrated38.A．desires B．responsibilities C．accidents D．challenges39.A．approach B．coincidence C．compromise D．reward40.A．in favor of B．in need of C．in memory of D．in recognition of 阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。
银川一中第四次月考理综试题
银川一中2016届高三年级第四次月考理科综合试卷命题人：龚颖君、武健超、李宏图本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。
其中第Ⅱ卷第33～40题为选考题，其它题为必考题。
考生作答时，将答案写在答题卡上，在本试卷上答题无效。
第Ⅰ卷(共126分)可能用到的相对原子质量（原子量）：H －1 C －12 N －14 O －16 Na －11 Ca －40S －32 Cl －35.5 Cu －56 Cu －64一、选择题：本题包括13小题。
每小题6分，共78分，每小题只有一个选项符合题意。
1．下列关于细胞分裂说法正确的是 A ．细菌通过无丝分裂进行细胞增殖B ．人的小肠上皮细胞在有丝分裂前期形成23个四分体C ．高等植物细胞与动物细胞有丝分裂前期产生纺锤体方式不同D ．蚕豆叶肉细胞在有丝分裂间期完成DNA 复制及蛋白质合成 2．下列是有关生物学实验方法和实验思想的叙述，正确的是 A ．孟德尔对分离现象的解释属于假说—演绎法的―提出假说‖ B ．萨顿利用类比推理法证实基因在染色体上 C ．格里菲思的转化实验证明了DNA 是―转化因子‖D ．在观察叶绿体的实验中，藓类的叶片薄，可以直接使用高倍镜进行观察 3．下列有关基因重组的叙述中，错误的是 A ．非同源染色体的自由组合能导致基因重组B ．同源染色体上非姐妹染色单体的交叉互换可引起基因重组C ．纯合子自交因基因重组导致子代性状分离D ．同胞兄妹的遗传差异与父母基因重组有关 4．下列有关单倍体的叙述中，正确的是 A ．生物的精子或卵细胞都是单倍体 B ．含有奇数染色体组的个体，肯定是单倍体C ．含有两个染色体组的个体，肯定不是单倍体D ．未经受精的卵细胞发育成的植物，一定是单倍体5．下图表示生物新物种形成的基本环节，则下列对图示的分析，正确的是A ．种群基因频率的定向改变一定会形成新物种B ．图中A 表示基因突变和基因重组，为进化提供原材料C ．图中B 表示地理隔离，是新物种形成的必要条件D ．图中C 表示生殖隔离，指两种生物不能杂交或杂交后不能产生可育的后代 6．下图是人体细胞直接与内环境进行物 质交换示意图，⑤处的箭头表示血液 流动的方向。
银川一中2020届高三年级第四次月考
银川一中2020届高三年级第四次月考1．研究人员发现约有1300种微生物和其他物质飘浮在北京的雾霾中,如肺炎双球菌、H7N9病毒、酵母菌、蒲公英的种子，其中属于最基本生命系统层次的有（）种。
A．1 B．2 C．3 D．42．下列物质中，都可以在血浆中找到的是（）A．消化酶、钙离子、脂肪、葡萄糖B．呼吸酶、脂肪酸、尿素、胆固醇C．氨基酸、麦芽糖、二氧化碳、钠离子D．甲状腺激素、氧气、尿素、小分子蛋白3．医用酒精消毒的原理之一是使细菌蛋白质变性，该过程破坏了蛋白质的空间结构（基本结构未破坏），进而导致蛋白质变性。
下列叙述正确的是（）A．细菌蛋白质合成无需细胞器参与B．酒精破坏了细菌蛋白质中的肽键C．酒精分子进入细菌无需消耗能量D．蛋白质变性后不能与双缩脲试剂发生紫色反应4．近年来，RNA分子成为科学界的研究热点。
下列关于RNA的描述中，正确的是（）A．有的RNA分子能降低某些生化反应的活化能而加速反应进行B．转录时，DNA聚合酶能识别RNA分子的特定位点并与之结合C．发菜细胞中，rRNA的合成以及核糖体的形成与核仁密切相关D．由于密码子具有简并性，因此一种tRNA可与多种氨基酸结合5．关于生物多样性和进化的叙述正确的是（）A．基因重组是生物变异的根本来源，并加速了生物进化B．长期自然选择和共同进化的结果导致生物多样性的形成C．共同进化就是指不同物种之间在相互影响中不断进化和发展D．生物多样性包括：基因多样性、种群多样性和生态系统多样性6．下列有关人体生命活动调节的叙述，错误的是（）A．血浆和组织液都具有运输激素的作用B．抑制垂体的活动会导致甲状腺激素分泌减少C．正常情况下，突触间隙中乙酰胆碱的含量保持相对稳定D．体液中能够参与生命活动调节的化学物质都由内分泌腺合成29．（8分）构成生物体的化学元素组成了各种化合物，各种化合物有机组合形成复杂的细胞结构，在细胞中不同的化合物执行着不同的生理功能。
右图是关于细胞中核酸和蛋白质之间关系的示意图。
宁夏回族自治区银川市一中高三上学期第四次月考地理试题
3. 该地区主要野火类型是（ ）
A. 落叶林火B. 针叶林火C. 草原火D. 荒漠草原火
4. 从可燃物及管理角度,推测下列区域野火发生须率最高的是（ ）
A.东南方B.西北方C.西南方D.正西方
10.投射有山影的大气和云层并不是完全黑暗的，主要是因为
A.地面长波辐射影响B.大气逆辐射影响
C.大气的吸收作用D.大气的散射作用
11.对雷尼尔山地理特征的推测，可信的是
A.山顶夏季没有冰雪覆盖B.冬季降雪量多
C.山腰处的森林主要是落叶阔叶林D.属褶皱－断块山
阿拉斯加
墨西哥西海岸
加勒比海
南美
北欧和西欧
地中海
196
亚太
91
1.欧洲目前为邮轮建造中心的主要优势是（ ）
①产业链完整②交通网络发达③资金和技术密集④旅游市场份额增长快
A.①②B.①③C.②④D.③④
2.加勒比海航区邮轮市场份额最高，最可能的原因是（ ）
①气候温和，景色优美
②邻近美国，市场需求量大
③航运便捷，热带海岛旅游资源丰富
（1）简述拉沃地区修建石头梯田的理由。
（2）简述当地居民在石墙间配套修建导水渠的目的。
（3）分析拉沃地区葡萄酒品质高，但很少出口的原因。
【点睛】雷尼尔山是喀斯喀特山脉的大火山之一，有不少冒汽的岩洞和温泉。雷尼尔山国家公园不仅是华盛顿州的地标，许多器物皆以此山为图案，而且对该州的人而言，更带有几分神秘与传说的列要求
材料一：成都双流国际机场位于该市主城区西南方向约16km处．毗邻成都市高新技术产业开发区（国家级高新技术产业开发区、其中天府国际生物城，由成都高新区与双流区合作共建，是成都发展生物医药产业的核心集聚空间，围绕生物医药、生物医学工程、生物服务、健康新经济四大产业主攻方向）。该机场吞吐量居我国中西部第一、全国第四，是我国西南地区重要的航空枢纽港和客货集散地。左图为我国局部地区图。右图为成都双流国际机场与主城区位置关系图。
2022-2023学年宁夏银川一中高三上学期第四次月考英语试题(解析版)
银川一中2023届高三年级第四次月考英语试卷注意事项: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，选出每小题的答案后，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，再选涂其他答案标号。
回答非选择题时，将答案写在答题卡上。
写在本试卷及草稿纸上无效。
3.考试结束后，将本试卷和答题卡一并交回。
第一部分：听力理解（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L5分，满分7.5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.Who is having a holiday abroad?A. David.B. Mike.C. John.2.What time does the next plane to London leave?A. At 10:00.B. At 11:00.C. At 12:00.3.What is Mr. Thomas's life like now?A. Worse than before.B. Happier than before.C. As good as before.4.Why won't the man go to the movies with Helen?A.She is not in the mood.B.She likes talking during a movie.C.She doesn't want to go out with him.5.What is the man trying to do?A. Deliver some bad news.B. Find a new position.C. Make a speech.第二节（共15小题;每小题L5分,满分22.5分）听下面5段对话或独白。
宁夏回族自治区银川一中2024届高三下学期第四次月考语文试题试卷含解析
宁夏回族自治区银川一中2024届高三下学期第四次月考语文试题试卷注意事项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。
1、阅读下面的文字，完成下面小题。
偶像文化如火箭般蹿起，已成为一种普遍的社会现象。
流水线般的“造星”模式，催生了一批又批“人造明星”。
很多青少年把这些“明星”当作崇拜的偶像，穿衣戴帽、言谈举止，处处模仿。
而那种主打“颜值”“炒作”“绯闻”“拜金”的偶像加工手法，更容易将观众尤其是青少年带偏，让价值观尚未成型的他们深受其害。
一些青少年，为了追随自己的偶像而应援、打榜，耗费了时间金钱，荒废了学业人生，致使偶像原本的正向示范意义完全无从谈起。
当然，偶像文化也不是洪水猛兽，对待偶像文化，我们也不宜一味地制造焦虑、宣泄偏见。
非理性的偶像崇拜会严重影响青少年的发展，而引导青少年理性对待偶像，可以帮助他们树立正确的价值观。
因此，建立健康积极的偶像文化氛围，应该是当下社会的迫切需要。
偶像大都是媒体包装和塑造出来的。
大众传媒为什么样的人提供舞台，制作什么样的节目，其实就是在推出什么样的偶像、传播什么样的价值取向。
有的节目，让嘉宾在舞台上肆意炫富、卖丑；也有些节目，将镜头对准广大青少年身边的榜样。
媒体不同的选择，会塑造出不同的偶像，进而对社会产生截然不同的影响。
我们需要的当然是能提供正向示范的偶像。
比如，央视的《中国诗词大会》让中学生武亦姝刷爆了朋友圈，同时也引发青少年对中国传统文化的追捧；浙江卫视《少年国学派》中的李国仕，让观众看到了“活”起来的国学，向人们展示了少年可期。
偶像让人崇拜，但崇拜的不应是媒体赋予他们的各种标签，而应是他们内在的品质、能力。
同时，时代需要的是那些真正能启发人、鼓舞人的偶像。
相较于明星的遥不可及，身边的偶像，也许能给人带来更大的触动和改变的决心。
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20XX年中学测试中学试题试卷科目：年级：考点：监考老师：日期：20XX届银川一中高三第四次月考英语试卷第Ⅰ卷（选择题，共115分）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。
每段对话后有一道小题，从每题所给的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。
1．What’s the relationship between the two speakers?A．Husband and wife B．Salesman and customerC．Neighbors2．Where do you think the conversation takes place?A．At a hotel B．At a cinema C．At a post office3．What can be concluded from this conversation?A．Jim types faster than DavidB Jim is too busy to helpC．Jim is a poor typist4．How did the man go to Canada?A．By train B．By car C．by bus5．How much did the woman pay for the cap?A．50 dollars B．10 dollars C．40 dollars第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。
每段对话或独白后有几道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料，回答第6至8题。
6．What can the woman be?A．She is a waitress at a hotelB．She is the secretary of Mr. Black.C．She is the assistant of Professor Green7．How would the man get in touch with Mr. Green?A．Find where the Blackwood Hotel isB．Go upstairs to Room 304 straightlyC．Dial 64 to find the number of the Blackwood Hotel8．Why did the man ask the woman to change the dollar?A．To pay for the informationB．To make a phone callC．To take a bus听第7段材料，回答第9至11题9．Where dose this conversation take place?A．In a flat building B．In the man’s office C．In the woman’s office 10．What has the woman been looking for over the last week?A．A two-bedroom flat B．A three-bedroom flat C．A ground-floor flat 11．What dose the woman think of the flat?A．It is too small to live inB．It is too expensive to buyC．It is satisfying on the whole听第8段材料，回答第12至14题12．What dose the woman want to buy?A．Desktop computer B．Laptop computer C．Printers 13．How soon could the machines be delivered?A．On the firm date the woman suggestedB．Pretty quicklyC．only a few days later14．How much will the man cut off the price for the woman?A．15% B．12% C．10%听第9段材料，回答第15至17题。
15．Why doesn’t the woman go to watch the football match in person?A．She is too busy to goB．She prefers to watch it on TVC．She has no money16．What makes the man feel excited when he is watching the games in person? A．Watching the game more closelyB．The audience’s enthusiasmC．Super views of all the players17．What is the man obviously planning to do?A．Watch the game in personB．Watch TV with the womanC．Pay for the woman’s football ticket听第10段材料，回答第18至20题。
18．What do the children dislike about school?A．They can’t do anything they want to doB．Everything is different from at homeC．They are often blamed by teachers19．Who is probably the speaker?A．A parent B．A child C．An educator20．What advice dose the speaker want to give?A．Teachers should notice every student in schoolB．Children should go to school to learnC．Teachers should be strict with children第二部分：知识运用（共两节，共45分）第一节单项选择（共15小题；每小题1分，满分15分）从每题中所给的A、B、C、D四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。
从A、B、C、D四个选项中，选出可以填入空白处的最佳选项。
21．－I didn’t do well in the last contests, including math and English. How about you?－_____________.A．I’ll do better next time B．Even worseC．A lot better D．I like English, though22．Many students in this school make __________ a rule to come to the evening classes even on Saturdays and SundaysA．this B．that C．it D．them23．When it comes to bringing up children, some people saystrict control produceswell-behaved children.A．不填；the B．the；不填C．不填；不填D．the; the24．－What was the trouble with you the day before yesterday?－When I practiced running on the playground with others, my strength _________ and I fell onto the ground.A．gave away B．gave in C．gave off D．gave out25．How long do you suppose it is _________ he arrived and began to work there?A．when B．before C．after D．since26．The traffic in the city was ________ today, so as you guess, Mary got home far earlier than usual.A．heavy B．weak C．scare D．light27．－You seem to have lost your way, ___________?－I’m looking for Wangfujing Street.A．What are you looking for B．Why soC．Need help D．Where are you going28．She ought to stop work; she has a headache because she ______ all day long.A．has been reading B．had read C．is reading D．read29．Strong typhoons struck this area very _______. Normally, they form and come here between July and August every year.A．generally B．regularly C．usually D．suddenly30．He finds his daughter is quite different from _________ she was five years ago.A．who B．what C．how D．which31.Most green vegetables, such as spinach cabbage,____ for too long, will lose nutrition.A．if to be cooked B．if cooking C．if cooked D．if being cooked32．The wheat and corn are growing very well, which _____ to be a good harvest.A．expects B．promises C．support D．thinks33．The song “rice fragrance” by Jay Zhou was a ________ at once and its recording disc rose to No. one last week bestseller lists.A．shock B．strike C hit D．beat34．It is generallythat new industries for the southern part of the country .A．admitted ;are to be needed B．admitted ;to be neededC．admitting; are needing D．admitting ; needed35．By nine o’clock, all the Olympic torch bearers had reached the top of MountQomolangma, ____ appeared a rare rainbow soon.A．of which B．on which C．from which D．above which第二节完形填空（共20小题，每小题1.5分，满分30分）Washoe is a young chimpanzee（黑猩猩）.She is no36 chimpanzee, though. Scientists are doing research 37 her. They want to see how civilized she can38 .Already she can do many things a human being does.For example, she has been learning how to exchange39 with people. The scientists are teaching her40 language. When she wants to be picked 41 , Washoe points up with one finger. She rubs her teeth with her finger42 she wants to brush her teeth. This is done after every meal.Washoe has also been43 to find answers to problems. Once she was put in a44 with food hanging from the ceiling. It was too high to45 . After she considered the46 ,she got a tall box to 47 . The food was still too high to be reached. Washoe found a48 pole. Then she climbed onto the 49 , grasped the pole, and 50 down the food with the pole.Washoe51 like a human ,too. The scientists keep her in a fully furnished house. After a hard 52 in the lab, she goes home.53 she plays with her toys. She 54 enjoys watching television before going to bed.Scientists hope to55 more about people by studying our closest relative ----- the chimpanzee. 36．A．foolish B． simple C．special D．ordinary37．A．for B． on C．to D．by38．A．experience B．change C．develop D．become39．A．actions B．views C．messages D．feelings40．A．human B．sign C．spoken D．foreign41．A．out B．at C．on D．up42．A．when B．until C．since D．while43．A．trained B．raised C．ordered D．led44．A．hole B．zoo C．room D．museum45．A．pull B．see C．eat D．reach46．A．problem B．position C．food D．ceiling47．A．stand by B．stand on C．stand up D．stand with 48．A．straight B．strong C．long D．heavy49．A．wall B．box C．ceiling D．pole50．A．knocked B．picked C．took D．pulled51．A．lives B．works C．thinks D．plays52．A．task B．lesson C．time D．day53．A．But B．There C．So D．Still54．A．quite B．already C．even D．still55．A．see B．answer C．learn D．gain第三节阅读理解（共20小题，每小题2分，满分40分）AThe Fourth “21th Century Cup” National English Speaking Competition is to be held in Shanghai.Organizers: China Daily and Shanghai Broadcasting Network.Co-ordinater: China University English Speaking Association （CUESA）.Co-sponsors （联办单位）: English Speaking Union （ESU）, Lotus Software （China）Co. LtD．, Times Publishing Group of Singapore, Hilton Shanghai, Pearson Education, Foreign Language Teaching & Research Press.Date: March 26 （Friday）, 2021Place: Hilton Shanghai.Competition Format （形式）: Each student will present a prepared speech on the given topic, followed by a three -minute off - hand speech and a three - minute question and answer period with the judges.Prepared speech period: six minutes.Q & A period: three minutes.Speech topic: People and Nature: In search of harmony （和谐）in a new age ＋your personal opinion. （Topics for the off hand speech will be given on the day of competition）.Prizes: Besides books and certificates （证书）, the top two winners will be offered scholarships（奖学金）to travel to the annual international English -speaking competition which will be held by the English Speaking Union in London in May, 2021．The third and fourth place winners will be offered a study trip to Singapore, sponsored by the Times Publishing Group. The fifth through 10th place winners will be offered cash prizes. All the competitors will receive certificates from the English Speaking Union and book prizes provided by Pearson Education and Foreign Language Teaching & Research Press. The teachers of the top winners will also receive a one - year membership to the International Association of Teachers of English as a Foreign Language（IATEFL）56．The main purpose of this passage is ________.A．to invite you to take part in the competitionB．to tell you some information of the competitionC．to help to improve your spoken EnglishD．to show you how to win the competition57．Which of the following is NOT mentioned about the Shanghai English Speaking Competition?________.A．Where and when it will take place.B．Its program.C．What each winner will be offered.D．The number of its competitors.58．Suppose you get the sixth place, you’ll________ .A．travel to London for free.B．become a one - year member of IATEFLC．get some money , some books and a certificateD．get a chance to study in Singapore59．An “off- hand speech”is________.A．a speech not longer than three minutesB．a speech without preparationC．a speech with a piece of paper in handD．a speech which is well preparedBBeauty has always been regarded as something praiseworthy. Almost everyone thinks attractive people are happier and healthier, have better marriages and have more respectable jobs. Personal advisors give them better advice for finding jobs. Even judges are softer on attractive defendants. But in the executive（主管的）circle, beauty can become a liability.While attractiveness is a positive factor for a man on his way up the executive ladder, it is harmful to a woman.Handsome male executives were considered having more honesty than plainer men; effort and ability were thought to lead to their success.Attractive female executives were considered to have less honesty than unattractive ones; their success was connected not with ability but with factors such as luck.All unattractive women executives were thought to have more honesty and to be more capable than the attractive female executives. Interestingly, though, the rise of the unattractive overnight successes was connected more to personal relationships and less to ability than that of the attractive overnight successes.Why are attractive women not thought to be able? An attractive woman is considered to be more feminine has an advantage in traditionally female jobs, but an attractive woman in a traditionally manly po sition appears to lack the “manly”qualifies required.This is true even in politics, “When the only clue is how he or she looks, people treat men and women differently, ” says Anne Bowman, who recently published a study on the effects of attractiveness on political candidates（候选人）. She asked 125 undergraduate students to rank two groups of photographs, one of men and one of women, in order of attractiveness. The students were told the photographs were of candidates for political offices. They were asked to rank them again, in the order they would vote for them.The results showed that attractive males completely defeated unattractive men, but the women who had ranked most attractive unchangeably received the fewest votes.60．The word “liability” most pro bably means ________.A．disadvantage B．advantage C．misfortune D．trouble 61．Bowman’s experiment shows that when it comes to politics, attractiveness________ A．turns out to be a disadvantage to menB．is more of a disadvantage than an advantage to womenC．has as little effect on men as on womenD．affects men and women alike62．It can be inferred from the passage that people’s views on beauty are often________.A．practical B．supportive C．old – fashioned D．one - sided63．The author writes this passage to ________.A．give advice to job - seekers who are attractiveB．discuss the disadvantages of being attractiveC．demand equal rights for womenD．state the importance of appearanceCSome people believe that international sport brings about good will between the nations and that if countries play games together they will learn to live together. Others say that the opposite is true: that international contests encourage false national pride and lead to misunderstanding and hatred. There is probably some truth in both arguments, but in recent years the Olympic Games have done little to support the view that sport encourages international brotherhood. Not only was there the terrible incident with the murder of athletes, but the Games were also ruined by those incidents caused mainly by minor national contests.One country received its second - place medal with great anger after the hockey final. There had been noisy scenes at the end of the hockey match, the losers objecting to the final decisions. They were certain that one of their goals should not have been dismissed and that the opposite side’s victory was unfair. Their manager was angry when he said: “This wasn’t hockey. Hockey and the International Hockey Society are finished. “The presid ent of the society said later that such words could result in the pause of the team for at least three years.The American basketball team announced that they would not give away first place to Russia, after a fighting end to their contest. The game had ended in quarrel. It was thought at first that theUnited States had won, by a single point, but it was announced that there were three seconds still to play, A Russian player then threw the ball from one end of the court to the other, and another player beat it into the basket. It was the first time the USA had ever lost an Olympic basketball match. The judges discussed the matter for four and a half hours before announcing that the result would stand. The American players then decided not to receive the silver medals.Incidents of this kind will continue as long as sport is played for honors or money rather than for the love of the game. The suggestion that sportsmen should compete as individuals , or in non national teams, might be too much to hope for. But in the present organization of the Olympics there is far too much that encourages dangerous nationalism.64．According to the author, recent Olympic Games have ________.A．brought about goodwill between the nationsB．made only false national prideC．hardly showed any international friendshipD．led to more and more misunderstanding and hatred65．What did the manager mean by saying, “… Hockey and the International Hockey Society are finished”? ________.A．His team would no longer take part in international gamesB．Hockey and the society are both ruined by the unfair decisionsC．There should be no more hockey matches organized by the societyD．The society should be dismissed66．The author gives the two examples in paragraphs 2 and 3 to show________.A．how false national pride leads to undesirable incidents in international gamesB．that sport men have been more troublesome than they used to beC．that competitiveness in the games discourages international friendshipD．that unfair decisions are common in Olympic Games.67．What conclusion can be drawn from the passage? ________.A．The organization of the Olympic Games must be improvedB．Athletes should compete as individuals in the Olympic GamesC．Sport should be played competitively rather than for the love of the gameD．International contests lead to misunderstanding between nations.DARIEL, West Bank: A suicide bomber blew up near Israeli soldiers outside a Jewish settlement in the West Bank yesterday, killing at least three people and wounding about 30 others, the settlement’s mayor and rescue workers said.“A suicide bomber came and there were many soldiers…and he blew himself up.” said Ron Nachman, mayor of the settlement of Ariel. “Soldiers were among the casualties. ”Peopl e on the spot said the bomber blew up after soldiers eating at a food stand in a petrol station at the entrance of the settlement found him. According to some people on the spot accounts reported by Israeli media, a soldier shot and wounded the bomber, who then exploded.The Magen David Adorn ambulance service said at least three people were killed and at least 30 wounded in the blast, which set the bomber burning at Ariel, about 25 kilometers east of Tel Avi v.A fire brigade official said: “The bomber w as still burning when we got there and we put out the fire immediatelly.”Meanwhile, a blast shook homes in Lebanon’s largest Palestinian refugee camp early yesterday, damaging buildings but causing no injuries, Palestinian sources said. They said the bo mb was planted outside the home of a member of Palestimian President Yasser Arafat’s Fatah faction in Ain el-Hilwch camp, and exploded while the family was sleeping.68．Some of people including ________were killed or wounded in the blast accident.A．soldiers B．mayorC．rescue workers D．a fire brigade official69．The suicide bomber blew himself up because________.A．there was something wrong with his brainsB．a soldier shot and wounded himC．he couldn’t see the settlement’s mayorD．he wanted to make himself known70．It can be concluded that the passage is most probably part of a （n）________.A．announcement B．advertisementC．news report D．science researchEI live in Japan, where electronic items are a way of life, so it is no surprise that many students carry these little electronic dictionaries. E-dictionaries may be light and compact（简洁的）more so than any paper dictionary. 71___ It depends on which one you buy. To me, these are pretty much the limits to their advantages.I think e-dictionaries should be limited in their use in classrooms. 72____E-dictionaries are much more expensive. In Japan, they cost as little as 10,000 yen （US$100）much as 40,000 yen, depending on how many functions you want （or think you want）and depending on how fashionable you are. My trusty Random House paper dictionary is copyrighted at1995, cost me a mere US$12.95 plus tax.E-dictionaries are more fragile（易碎的）. Drop your paper dictionary. Go ahead. Hold it above your head and drop it. 73E-dictionaries need batteries. Batteries are temperature sensitive. Batteries cost money, too.E-dictionaries have keypads. Typing in the spelling of a word is harder and more time consuming than looking through pages and using the index at the top of each page._74____ Such little devices beep（嘟嘟声）when you press the buttons, but it is very disturbing to some people in a classroom situation or library.Finally, let’s consider making corrections or additions. No dictionary is perfect, paper version or electronic. However, wh en you find something you’d like to change in the e-dictionary, you can’t do anything about it. You can pencil in some notes with the paper type. Similarly, if you learn a word that isn’t in the dictionary, a few notes of a pencil make it easy to increase its memory capacity.__75__ And, for those students whose habit is to mark certain words with a highlight pen for ease of future reference, again, the paper dictionary wins out.A．But it is impossible to do so with a keypad modelB．They may even contain more words and expressionsC．Sometimes e-dictionaries trouble you and you really don’t know how to get rid of them D．Now, try this with any lightweight plastic e-dictionary, and you’ll be picking up the pieces E．That huge, heavy paper dictionary that you see in your library looks like a building block in size and weight.F．E-dictionaries have advantages as well as disadvantagesG．Let’s take a look at the following reasons第Ⅱ卷（满分35）第四部分：写作（共两节，满分35分）第一节短文改错（共10小题；每小题1分，满分10分）Dear Mary,I receive your E-mail just now. Don’t worry about me. I’m getting on well with my research work in the lab. But to my greatly surprise you say you will give up learn English. The reason is because you have not done well in it recently and you have lost interests. I’m afraid I couldn’t agree with you . I know it is difficulty to learn English, and English is widely used in the world today. It will be important tool in our future work. Beside, it is becoming more and more important in our daily life. If you study hard, you will be succeed. Do remember that where there is a will, there is a way. I’ m looking forward to hearing good news from you.Yours,Li Hua第二节书面表达（满分25分）假定你是某市居民，名叫李华。