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模块综合检测 (1)

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模块综合检测(A)(时间：120分钟 满分：150分)一、选择题(本大题共12小题，每小题5分，共60分) 1．如果A ＝{x |x >－1}，那么( ) A ．0⊆A B ．{0}∈A C ．∅∈A D ．{0}⊆A2．已知f (12x －1)＝2x ＋3，f (m )＝6，则m 等于( )A ．－14 B.14C.32 D ．－323．函数y ＝x －1＋lg(2－x )的定义域是( ) A ．(1,2) B ．[1,4] C ．[1,2) D ．(1,2]4．函数f (x )＝x 3＋x 的图象关于( )A ．y 轴对称B ．直线y ＝－x 对称C ．坐标原点对称D ．直线y ＝x 对称 5．下列四类函数中，具有性质“对任意的x >0，y >0，函数f (x )满足f (x ＋y )＝f (x )f (y )”的是( )A ．幂函数B ．对数函数C ．指数函数D ．一次函数 6．若0<m <n ，则下列结论正确的是( )A ．2m >2nB ．(12)m <(12)nC ．log 2m >log 2nD ．12log m >12log n7．已知a ＝0.3，b ＝20.3，c ＝0.30.2，则a ，b ，c 三者的大小关系是( ) A ．b >c >a B ．b >a >c C ．a >b >c D ．c >b >a8．函数f (x )＝log 3x －8＋2x 的零点一定位于区间( ) A ．(5,6) B ．(3,4) C ．(2,3) D ．(1,2) 9．下列计算正确的是( )A ．(a 3)2＝a 9B ．log 26－log 23＝1C ．12a ·12a ＝0D ．log 3(－4)2＝2log 3(－4)10．已知函数f (x )＝a x＋log a x (a >0且a ≠1)在[1,2]上的最大值与最小值之和为log a 2＋6，则a 的值为( )A.12B.14 C ．2 D ．411．函数y ＝|lg(x ＋1)|的图象是( )12．若函数f (x )＝lg(10x＋1)＋ax 是偶函数，g (x )＝4x－b2x 是奇函数，则a ＋b 的值是( )A.12 B ．1 C ．－12 D ．－1二、填空题(本大题共4小题，每小题5分，共20分)13．已知A ＝{－1,3，m }，集合B ＝{3,4}，若B ∩A ＝B ，则实数m ＝________.14．已知f (x 5)＝lg x ，则f (2)＝________.15．函数y ＝f (x )是定义域为R 的奇函数，当x <0时，f (x )＝x 3＋2x－1，则x >0时函数的解析式f (x )＝______________.16．幂函数f (x )的图象过点(3，427)，则f (x )的解析式是______________． 三、解答题(本大题共6小题，共70分) 17．(10分)(1)计算：12729⎛⎫ ⎪⎝⎭＋(lg 5)0＋132764-⎛⎫ ⎪⎝⎭；(2)解方程：log 3(6x－9)＝3.18．(12分)某商品进货单价为40元，若销售价为50元，可卖出50个，如果销售价每涨1元，销售量就减少1个，为了获得最大利润，求此商品的最佳售价应为多少？19．(12分)已知函数f (x )＝－3x 2＋2x －m ＋1.(1)当m 为何值时，函数有两个零点、一个零点、无零点； (2)若函数恰有一个零点在原点处，求m 的值．20．(12分)已知集合M 是满足下列性质的函数f (x )的全体：在定义域D 内存在x 0，使得f (x 0＋1)＝f (x 0)＋f (1)成立．(1)函数f (x )＝1x是否属于集合M ？说明理由；(2)若函数f (x )＝kx ＋b 属于集合M ，试求实数k 和b 满足的约束条件．21．(12分)已知奇函数f (x )是定义域[－2,2]上的减函数，若f (2a ＋1)＋f (4a －3)>0，求实数a 的取值范围．22．(12分)已知函数f (x )＝. (1)若a ＝1，求函数f (x )的零点；(2)若函数f (x )在[－1，＋∞)上为增函数，求a 的取值范围．模块综合检测(A)1．D [∵0∈A ，∴{0}⊆A .]2．A [令12x －1＝t ，则x ＝2t ＋2，所以f (t )＝2×(2t ＋2)＋3＝4t ＋7.令4m ＋7＝6，得m ＝－14.]3．C [由题意得：⎩⎪⎨⎪⎧x －1≥02－x >0，解得1≤x <2.]4．C [∵f (x )＝x 3＋x 是奇函数， ∴图象关于坐标原点对称．] 5．C [本题考查幂的运算性质． f (x )f (y )＝a x a y ＝a x ＋y ＝f (x ＋y )．]6．D [由指数函数与对数函数的单调性知D 正确．]7．A [因为a ＝0.3＝0.30.5<0.30.2＝c <0.30＝1，而b ＝20.3>20＝1，所以b >c >a .]8．B [f (3)＝log 33－8＋2×3＝－1<0，f (4)＝log 34－8＋2×4＝log 34>0. 又f (x )在(0，＋∞)上为增函数，所以其零点一定位于区间(3,4)．]9．B [A 中(a 3)2＝a 6，故A 错；B 中log 26－log 23＝log 263＝log 22＝1，故B 正确；C 中，12a -·12a ＝1122a -+＝a 0＝1，故C 错；D 中，log 3(－4)2＝log 316＝log 342＝2log 34.]10．C [依题意，函数f (x )＝a x＋log a x (a >0且a ≠1)在[1,2]上具有单调性，因此a ＋a 2＋log a 2＝log a 2＋6，解得a ＝2.]11．A [将y ＝lg x 的图象向左平移一个单位，然后把x 轴下方的部分关于x 轴对称到上方，就得到y ＝|lg(x ＋1)|的图象．]12．A [∵f (x )是偶函数， ∴f (－x )＝f (x )，即lg(10－x ＋1)－ax ＝lg 1＋10x10x －ax ＝lg(10x＋1)－(a ＋1)x＝lg(10x＋1)＋ax ，∴a ＝－(a ＋1)，∴a ＝－12，又g (x )是奇函数，∴g (－x )＝－g (x )，即2－x －b 2－x ＝－2x＋b 2x ，∴b ＝1，∴a ＋b ＝12.]13．4解析 ∵A ＝{－1,3，m }，B ＝{3,4}，B ∩A ＝B ， ∴m ＝4. 14.15lg 2 解析 令x 5＝t ，则x ＝15t .∴f (t )＝15lg t ，∴f (2)＝15lg 2.15．x 3－2－x＋1解析 ∵f (x )是R 上的奇函数，∴当x >0时，f (x )＝－f (－x )＝－[(－x )3＋2－x －1]＝x 3－2－x ＋1.16．f (x )＝34x解析 设f (x )＝x n，则有3n＝427，即3n＝343， ∴n ＝34，即f (x )＝34x .17．解 (1)原式＝12259⎛⎫ ⎪⎝⎭＋(lg 5)0＋13334-⎡⎤⎛⎫⎢⎥ ⎪⎝⎭⎢⎥⎣⎦＝53＋1＋43＝4. (2)由方程log 3(6x－9)＝3得 6x －9＝33＝27，∴6x ＝36＝62， ∴x ＝2.经检验，x ＝2是原方程的解．18．解 设最佳售价为(50＋x )元，最大利润为y 元， y ＝(50＋x )(50－x )－(50－x )×40＝－x 2＋40x ＋500.当x ＝20时，y 取得最大值，所以应定价为70元． 故此商品的最佳售价应为70元．19．解 (1)函数有两个零点，则对应方程－3x 2＋2x －m ＋1＝0有两个根，易知Δ>0，即Δ＝4＋12(1－m )>0，可解得m <43；Δ＝0，可解得m ＝43；Δ<0，可解得m >43.故m <43时，函数有两个零点；m ＝43时，函数有一个零点； m >43时，函数无零点． (2)因为0是对应方程的根，有1－m ＝0，可解得m ＝1. 20．解 (1)D ＝(－∞，0)∪(0，＋∞)，若f (x )＝1x∈M ，则存在非零实数x 0，使得1x 0＋1＝1x 0＋1， 即x 20＋x 0＋1＝0， 因为此方程无实数解，所以函数f (x )＝1x∉M .(2)D ＝R ，由f (x )＝kx ＋b ∈M ，存在实数x 0，使得 k (x 0＋1)＋b ＝kx 0＋b ＋k ＋b ，解得b ＝0， 所以，实数k 和b 的取值范围是k ∈R ，b ＝0.21．解 由f (2a ＋1)＋f (4a －3)>0得f (2a ＋1)>－f (4a －3)， 又f (x )为奇函数，得－f (4a －3)＝f (3－4a )， ∴f (2a ＋1)>f (3－4a )，又f (x )是定义域[－2,2]上的减函数， ∴2≥3－4a >2a ＋1≥－2即⎩⎪⎨⎪⎧2≥3－4a3－4a >2a ＋12a ＋1≥－2∴⎩⎪⎨⎪⎧a ≥14a <13a ≥－32∴实数a 的取值范围为[14，13)．22．解 (1)当a ＝1时，由x －2x＝0，x 2＋2x ＝0， 得零点为2，0，－2.(2)显然，函数g (x )＝x －2x 在[12，＋∞)上递增，且g (12)＝－72；函数h (x )＝x 2＋2x ＋a －1在[－1，12]上也递增，且h (12)＝a ＋14.故若函数f (x )在[－1，＋∞)上为增函数，则a ＋14≤－72，∴a ≤－154.故a 的取值范围为(－∞，－154]．。

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2024-2025学年高一化学必修第一册(苏教版)模块综合测评

2024-2025学年高一化学必修第一册(苏教版)模块综合测评

模块综合测评可能用到的相对原子质量:H 1 O 16 Na 23 S 32 Ba 137一、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.“碳中和”是指企业、团体或个人测算在一定时间内直接或间接产生的温室气体排放总量,然后通过植树造林、节能减排等形式,抵消自身产生的排放量,CO 2实现“零排放”。

下列选项所述措施均能实现“碳中和”的是( )①减少化石燃料使用 ②发展捕集技术 ③燃煤中加入石灰石 ④开发新的能源 A.①②④ B.①②③ C.③④ D.②③④2.关于下列仪器使用的说法错误的是( )A.①和⑤常用于物质的分离B.②和③使用前需检漏C.②使用前必须烘干D.④和⑤可直接加热3.化学用语是学习化学的重要工具,下列有关化学用语表示错误的是( ) A.HClO 的结构式:H —O —Cl B.NaHCO 3的俗名:小苏打C.CaO 2的电子式:[··O ······]-Ca 2+[··O ······]-D.KHCO 3溶于水的电离方程式:KHCO 3K ++HC O 3-4.物质的量相同的两种气体,在相同条件下,则它们必然( )A.具有相同数目的原子B.都占22.4 LC.具有相同数目的分子D.具有相同质量5.下列“实验方案”不宜用于完成“实验目的”的是( )选项实验目的 实验方案6.下列离子方程式书写不正确的是()A.向稀硫酸中加入氢氧化钡溶液:Ba2++OH-+H++S O42-BaSO4↓+H2OB.碳酸镁与稀硫酸反应:MgCO3+2H+Mg2++H2O+CO2↑C.金属铝溶于盐酸中:2Al+6H+2Al3++3H2↑D.向小苏打溶液中加入盐酸:HC O3-+H+CO2↑+H2O7.下列说法不正确的是()A.Na2O2可以作为呼吸面具或潜水艇中的氧气来源B.将Na2O加到酚酞溶液中,溶液先变红后褪色C.可用水来检验某Na2O样品中是否含有Na2O2D.过氧化钠为淡黄色固体8.下列说法中正确的是()A.摩尔既是物质的数量单位又是物质的质量单位B.物质的量既表示物质的数量又表示物质的质量C.阿伏加德罗常数是12 kg 12C中含有碳原子的数目D.1 mol H2O2中共含有4 mol原子9.短周期元素X、Y、Z、M的原子序数依次增大,其中X、Y、Z三种元素可形成含两种元素的10电子微粒m、n、p、q,且有反应m+n p↑+q;M最高价氧化物对应水化物为最强酸。

2024_2025学年高中英语模块综合检测一同步检测含解析北师大版必修1

2024_2025学年高中英语模块综合检测一同步检测含解析北师大版必修1

模块综合检测(一)第一部分阅读(共两节，满分50分)第一节(共15小题；每小题2.5分，满分37.5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。

ATeenagers who spend hours in front of the television may have a poorer diet as young adults.A study, which involved nearly 1,400 high school students found those who watched TV for five hours or more every day had less healthy diets than other students five years later. Why does this happen? Should the parents take any measures?On the one hand, people who spend a lot of time in front of the TV, especially teenagers, may snack (吃零食) more, and that may influence their long­term diet quality.On the other hand, TV ads for fast food, sweets and snacks make teenagers eat more of those foods. TV time might also replace exercise time for some kids.The researchers found a clear relationship between TV time during high school and diet quality of the young. While the heaviest TV viewers were eating the most junk food, those who'd watched fewer than two hours every day had the most fruits and vegetables.As far as I am concerned, children should watch no more than two hours of television per day. And parents should set a good example by eating right, being physically active and curbing their own TV time.【语篇解读】本文是一篇说明文。

2021-2022学年人教版高中数学选修2-3教材用书：模块综合检测(一) Word版含答案

2021-2022学年人教版高中数学选修2-3教材用书：模块综合检测(一) Word版含答案

模块综合检测(一)(时间120分钟，满分150分)一、选择题(共12小题，每小题5分，共60分) 1．方程C x 14＝C 2x －414的解集为( )A ．{4}B ．{14}C ．{4,6}D ．{14,2}解析：选C 由C x 14＝C 2x －414得x ＝2x －4或x ＋2x －4＝14，解得x ＝4或x ＝6.经检验知x ＝4或x ＝6符合题意．2．设X 是一个离散型随机变量，则下列不能成为X 的概率分布列的一组数据是( ) A ．0，12，0,0，12 B ．0.1,0.2,0.3,0.4C ．p,1－p (0≤p ≤1) D.11×2，12×3，…，17×8解析：选D 利用分布列的性质推断，任一离散型随机变量X 的分布列都具有下述两共性质：①p i ≥0，i ＝1,2,3，…，n ；②p 1＋p 2＋p 3＋…＋p n ＝1.选C 如图，由正态曲线的对称性可得P (a ≤X <4－a )＝1－2P (X <a )＝0.36. 3．已知随机变量X ～N (2，σ2)，若P (X <a )＝0.32，则P (a ≤X <4－a )等于( ) A ．0.32 B ．0.68 C ．0.36 D ．0.64解析：选C 如图，由正态曲线的对称性可得P (a ≤X <4－a )＝1－2P (X <a )＝0.36.4．已知x ，y 取值如下表：x 0 1 4 5 6 8 y1.31.85.66.17.49.3从所得的散点图分析可知：y 与x 线性相关，且y ^＝0.95x ＋a ，则a 等于( ) A ．1.30 B ．1.45 C ．1.65 D ．1.80解析：选B 依题意得，x －＝16×(0＋1＋4＋5＋6＋8)＝4，y －＝16×(1.3＋1.8＋5.6＋6.1＋7.4＋9.3)＝5.25.又直线y ^＝0.95x ＋a 必过样本中心点(x －，y －)， 即点(4，5.25)，于是有5.25＝0.95×4＋a ， 由此解得a ＝1.45.5．甲、乙两人独立地对同一目标各射击一次，其命中率分别为0.6,0.5，现已知目标被击中，则它是被甲击中的概率是( )A ．0.45B ．0.6C ．0.65D ．0.75 解析：选D 目标被击中P 1＝1－0.4×0.5＝0.8， ∴P ＝0.60.8＝0.75. 6．从6名男生和2名女生中选出3名志愿者，其中至少有1名女生的选法有( ) A ．36种 B ．30种 C ．42种 D ．60种解析：选A 直接法：选出3名志愿者中含有1名女生和2名男生或2名女生和1名男生，故共有C 12C 26＋C 22C 16＝2×15＋6＝36种选法；间接法：从8名同学中选出3名，减去全部是男生的状况，故共有C 38－C 36＝56－20＝36种选法．7.⎝ ⎛⎭⎪⎫x ＋2x 2n 的开放式中只有第6项二项式系数最大，则开放式中的常数项是( )A ．180B ．90C ．45D ．360 解析：选A 由已知得，n ＝10，T r ＋1＝C r10(x )10－r⎝ ⎛⎭⎪⎫2x 2r ＝2r ·C r 10x 5－52r ，令5－52r ＝0，得r ＝2，T 3＝4C 210＝180.8．(四川高考)六个人从左至右排成一行，最左端只能排甲或乙，最右端不能排甲，则不同的排法共有( )A ．192种B ．216种C ．240种D ．288种解析：选B 当最左端排甲时，不同的排法共有A 55种；当最左端排乙时，甲只能排在中间四个位置之一，则不同的排法共有C 14A 44种．故不同的排法共有A 55＋C 14A 44＝9×24＝216种．9．箱子里有5个黑球和4个白球，每次随机取出一个球．若取出黑球，则放回箱中，重新取球，若取出白球，则停止取球．那么在第4次取球之后停止的概率为( )A.C 35C 14C 45 B .⎝ ⎛⎭⎪⎫593×49C.35×14D ．C 14⎝ ⎛⎭⎪⎫593×49解析：选B 记“从箱子里取出一球是黑球”为大事A ，“从箱子里取出一个球是白球”为大事B ，则P (A )＝59，P (B )＝49，在第4次取球后停止，说明前3次取到的都是黑球，第4次取到的是白球，又每次取球是相互独立的，由独立大事同时发生的概率公式，在第4次取球后停止的概率为59×59×59×49＝⎝ ⎛⎭⎪⎫593×49.10．下列说法：①将一组数据中的每个数据都加上或减去同一个常数后，方差恒不变； ②设有一个回归方程y ^＝3－5x ，变量x 增加一个单位时，y 平均增加5个单位；③线性回归直线y ^＝b ^x ＋a ^必过(x －，y －)； ④曲线上的点与该点的坐标之间具有相关关系；⑤在一个2×2列联表中，由计算得k ＝13.079.则其两个变量间有关系的可能性是90%. 其中错误的个数是( ) A ．1 B ．2 C ．3D ．4解析：选C 由方差的定义知①正确，由线性回归直线的特点知③正确，②④⑤都错误． 11．对两个变量y 和x 进行线性相关检验，已知n 是观看值组数，r 是相关系数，且已知： ①n ＝10，r ＝0.953 3；②n ＝15，r ＝0.301 2；③n ＝17，r ＝0.999 1；④n ＝3，r ＝0.995 0. 则变量y 和x 具有线性相关关系的是( ) A ．①和② B ．①和③ C ．②和④D ．③和④解析：选B 相关系数r 的确定值越接近1，变量x ，y 的线性相关性越强．②中的r 太小，④中观看值组数太小．12．某市政府调查市民收入与旅游欲望时，接受独立性检验法抽取3 000人，计算发觉k ＝6.023，则依据这一数据查阅下表，市政府断言市民收入增减与旅游欲望有关系的把握是( )P (K 2≥k )… 0.25 0.15 0.10 0.025 0.010 0.005 … k…1.3232.0722.7065.0246.6357.879…A.90% B ．95% C ．97.5%D ．99.5%解析：选C ∵k ＝6.023＞5.024，∴可断言市民收入增减与旅游欲望有关的把握为97.5%. 二、填空题(共4小题，每小题5分，共20分)13．有5名男生和3名女生，从中选出5人分别担当语文、数学、英语、物理、化学学科的科代表，若某女生必需担当语文科代表，则不同的选法共有________种．(用数字作答)解析：由题意知，从剩余7人中选出4人担当4个学科的科代表，共有A 47＝840(种)选法． 答案：84014．某射手对目标进行射击，直到第一次命中为止，每次射击的命中率为0.6，现共有子弹4颗，命中后剩余子弹数目的均值是________．解析：设ξ为命中后剩余子弹数目，则P (ξ＝3)＝0.6，P (ξ＝2)＝0.4×0.6＝0.24，P (ξ＝1)＝0.4×0.4×0.6＝0.096，P (ξ＝0)＝0.4×0.4×0.4＝0.064，E (ξ)＝3×0.6＋2×0.24＋0.096＝2.376.答案：2.37615．抽样调查表明，某校高三同学成果(总分750分)X 近似听从正态分布，平均成果为500分．已知P (400＜X ＜450)＝0.3，则P (550＜X ＜600)＝________.解析：由下图可以看出P (550＜X ＜600)＝P (400＜X ＜450)＝0.3.答案：0.316．某高校“统计初步”课程的老师随机调查了选该课的一些同学状况，具体数据如下表：专业性别非统计专业统计专业 男 13 10 女720为了推断主修统计专业是否与性别有关系，依据表中的数据，计算得到K 2＝________(保留三位小数)，所以判定________(填“能”或“不能”)在犯错误的概率不超过0.05的前提下认为主修统计专业与性别有关系．解析：依据供应的表格得 K 2＝50×13×20－7×10223×27×20×30≈4.844>3.841.所以可以在犯错误的概率不超过0.05的前提下认为主修统计专业与性别有关系． 答案：4.844 能三、解答题(共6小题，共70分，解答时应写出文字说明、证明过程或演算步骤)17．(本小题满分10分)若⎝⎛⎭⎪⎪⎫6x ＋16x n开放式中第2,3,4项的二项式系数成等差数列．(1)求n 的值．(2)此开放式中是否有常数项？为什么？解：(1)T k ＋1＝C k n·⎝⎛⎭⎫6x n －k·⎝ ⎛⎭⎪⎪⎫16x k ＝C kn ·x n －2k 6，由题意可知C 1n ＋C 3n ＝2C 2n ，即n 2－9n ＋14＝0， 解得n ＝2(舍)或n ＝7.∴n ＝7. (2)由(1)知T k ＋1＝C k7·x 7－2k6. 当7－2k 6＝0时，k ＝72，由于k ∉N *， 所以此开放式中无常数项．18．(本小题满分12分)某篮球队与其他6支篮球队依次进行6场竞赛，每场均决出胜败，设这支篮球队与其他篮球队竞赛胜场的大事是独立的，并且胜场的概率是13.(1)求这支篮球队首次胜场前已经负了2场的概率； (2)求这支篮球队在6场竞赛中恰好胜了3场的概率； (3)求这支篮球队在6场竞赛中胜场数的均值和方差．解：(1)这支篮球队首次胜场前已负2场的概率为P ＝⎝ ⎛⎭⎪⎫1－132×13＝427.(2)这支篮球队在6场竞赛中恰好胜3场的概率为P ＝C 36×⎝ ⎛⎭⎪⎫133×⎝ ⎛⎭⎪⎫1－133＝20×127×827＝160729.(3)由于X 听从二项分布，即X ～B ⎝ ⎛⎭⎪⎫6，13，∴E (X )＝6×13＝2，D (X )＝6×13×⎝⎛⎭⎪⎫1－13＝43.故在6场竞赛中这支篮球队胜场的均值为2，方差为43.19．(本小题满分12分)某商场经销某商品，依据以往资料统计，顾客接受的付款期数X 的分布列为商场经销一件该商品，接受250元；分4期或5期付款，其利润为300元．Y 表示经销一件该商品的利润．(1)求大事：“购买该商品的3位顾客中，至少有1位接受1期付款”的概率P (A )； (2)求Y 的分布列及E (Y )．解：(1)由A 表示大事“购买该商品的3位顾客中至少有1位接受1期付款”知，A 表示大事“购买该商品的3位顾客中无人接受1期付款”．P (A )＝(1－0.4)3＝0.216， P (A )＝1－P (A )＝1－0.216＝0.784.(2)Y 的可能取值为200元，250元，300元．P (Y ＝200)＝P (X ＝1)＝0.4，P (Y ＝250)＝P (X ＝2)＋P (X ＝3)＝0.2＋0.2＝0.4，P (Y ＝300)＝1－P (Y ＝200)－P (Y ＝250)＝1－0.4－0.4＝0.2， Y 的分布列为E (Y )20．(本小题满分12分)为迎接2022年北京冬奥会，推广滑雪运动，某滑雪场开展滑雪促销活动．该滑雪场的收费标准是：滑雪时间不超过1小时免费，超过1小时的部分每小时收费标准为40元(不足1小时的部分按1小时计算)．有甲、乙两人相互独立地来该滑雪场运动，设甲、乙不超过1小时离开的概率分别为14，16；1小时以上且不超过2小时离开的概率分别为12，23；两人滑雪时间都不会超过3小时． (1)求甲、乙两人所付滑雪费用相同的概率；(2)设甲、乙两人所付的滑雪费用之和为随机变量ξ，求ξ的分布列与数学期望E (ξ)． 解：(1)若两人所付费用相同，则相同的费用可能为0元，40元，80元， 两人都付0元的概率为P 1＝14×16＝124，两人都付40元的概率为P 2＝12×23＝13，两人都付80元的概率为P 3＝⎝ ⎛⎭⎪⎫1－14－12×1－16－23＝14×16＝124，则两人所付费用相同的概率为P ＝P 1＋P 2＋P 3＝124＋13＋124＝512. (2)由题意得，ξ全部可能的取值为0,40,80,120,160.P (ξ＝0)＝14×16＝124， P (ξ＝40)＝14×23＋12×16＝14， P (ξ＝80)＝14×16＋12×23＋14×16＝512， P (ξ＝120)＝12×16＋14×23＝14， P (ξ＝160)＝14×16＝124， ξ的分布列为E (ξ)＝0×124＋40×14＋80×12＋120×4＋160×24＝80.21．(本小题满分12分)甲、乙两厂生产同一产品，为了解甲、乙两厂的产品质量，以确定这一产品最终的供货商，接受分层抽样的方法从甲、乙两厂生产的产品中分别抽取14件和5件，测量产品中的微量元素x ，y 的含量(单位：毫克)．下表是乙厂的5件产品的测量数据：编号1 2 3 4 5 x 169 178 166 175 180 y7580777081(1)已知甲厂生产的产品共有98件，求乙厂生产的产品数量．(2)当产品中的微量元素x ，y 满足x ≥175，且y ≥75，该产品为优等品．用上述样本数据估量乙厂生产的优等品的数量．(3)从乙厂抽出的上述5件产品中，随机抽取2件，求抽取的2件产品中优等品数ξ的分布列及其均值． 解：(1)乙厂生产的产品总数为5÷1498＝35. (2)样品中优等品的频率为25，乙厂生产的优等品的数量为35×25＝14.(3)ξ＝0,1,2，P (ξ＝i )＝C i 2C 2－i3C 25(i ＝0,1,2)，ξ的分布列为ξ 0 1 2 P31035110均值E (ξ)＝1×35＋2×110＝45.22．(本小题满分12分)某煤矿发生透水事故时，作业区有若干人员被困．救援队从入口进入之后有L 1，L 2两条巷道通往作业区(如下图)，L 1巷道有A 1，A 2，A 3三个易堵塞点，各点被堵塞的概率都是12；L 2巷道有B 1，B 2两个易堵塞点，被堵塞的概率分别为34，35.(1)求L 1巷道中，三个易堵塞点最多有一个被堵塞的概率；(2)若L 2巷道中堵塞点个数为X ，求X 的分布列及均值E (X )，并依据“平均堵塞点少的巷道是较好的抢险路线”的标准，请你挂念救援队选择一条抢险路线，并说明理由．解：(1)设“L 1巷道中，三个易堵塞点最多有一个被堵塞”为大事A ，则P (A )＝C 03×⎝ ⎛⎭⎪⎫123＋C 13×12×⎝ ⎛⎭⎪⎫122＝12.(2)依题意，X 的可能取值为0,1,2，P (X ＝0)＝⎝⎛⎭⎪⎫1－34×⎝⎛⎭⎪⎫1－35＝110， P (X ＝1)＝34×⎝⎛⎭⎪⎫1－35＋⎝⎛⎭⎪⎫1－34×35＝920，P (X ＝2)＝34×35＝920，所以随机变量X 的分布列为X 0 1 2 P110920920E (X )＝0×110＋1×920＋2×920＝2720.法一：设L 1巷道中堵塞点个数为Y ，则Y 的可能取值为0,1,2,3，P (Y ＝0)＝C 03×⎝ ⎛⎭⎪⎫123＝18，P (Y ＝1)＝C 13×12×⎝ ⎛⎭⎪⎫122＝38，P (Y ＝2)＝C 23×⎝ ⎛⎭⎪⎫122×12＝38， P (Y ＝3)＝C 33×⎝ ⎛⎭⎪⎫123＝18， 所以，随机变量Y 的分布列为Y0 1 2 3 P18383818E (Y )＝0×18＋1×38＋2×38＋3×18＝2，由于E (X )<E (Y )，所以选择L 2巷道为抢险路线为好．法二：设L 1巷道中堵塞点个数为Y ，则随机变量Y ～B ⎝ ⎛⎭⎪⎫3，12， 所以，E (Y )＝3×12＝32，由于E (X )<E (Y )，所以选择L 2巷道为抢险路线为好．。

北师大版高中英语选择性必修第一册模块综合检测1

北师大版高中英语选择性必修第一册模块综合检测1

模块综合检测(一)第一部分阅读第一节ACalling all book lovers! 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so that it can provide the best reading recommendations (推荐)．If you want to learn more about BookBub，click here.BookRixBookRix allows readers to download free ebooks onto their iPads，tablets，eReaders，and smartphones.The site offers books from self-published authors as well as books that are part of the public domain.The homepage group books into different types including fiction，fantasy，romance，thrillers，so you can easily find a new book to read.1．Which should one choose if they want to read classical fairy tale books?A．The Library of Congress.B．Project Gutenberg.C．BookBub.D．BookRix.2．What makes BookBub different from the other three?A．All the ebooks are totally free.B．Some of the ebooks are classics.C．It recommends books for readers.D．Thousands of ebooks are available.3．Where does this text most probably come from?A．A newspaper.B．The Internet.C．A magazine.D．A notice board.BEmma Watson entered our lives as the perfect Hermione Granger in 2001，and nowadays，we're just as much in love with this charming，intelligent British girl，as ever.You may or may not be a Potter head，but a lot of people are charmed by Emma Watson's perfection.Despite being a star performer at the young age of 11，she's never gone the Hollywood-spoiled-child route.In fact，she made all attempts to stay as normal as possible.She said ，“Ignoring fame was my rebellion，in a funny way.I was insistent on being normal and doing normal things.It probably wasn't advisable to go to college in America and room with a complete stranger.And it probably wasn't wise to share a bathroom with eight other people in a dormitory.Looking back，I think that was crazy.”She added，“I was very well-educated.My dad paid for me to go to a very good school，so I worked hard every single day at that school to make him proud of me.And I did，and I still do.”If we had to imagine what Hermione Granger would have grown up to be like，we would say she'd be the Emma Watson of the Potter universe because there really is noway to separate the two.In the last few years，Emma has added more feathers to her cap than we imagined being humanly possible，which include actor，scholar，model and UN Women Goodwill Ambassador.In her role as a UN Women Goodwill Ambassador，she'd supported powerful causes to the best of her ability and brought them all the attention they deserve.Emma Watson gave us the most accurate description of our favorite girl from the Potter universe.“Young girls are told you have to be a delicate princess.Hermione taught them that you can be a warrior.”4．After Emma Watson became an actress，she________．A．followed the Hollywood child routeB．had a preference for a normal lifeC．became rebellious in a funny wayD．went to a good college instead5．What does the author mean by saying “Emma has added more feathers to her cap”in paragraph 4?A．Emma has earned more titles.B．Emma wears a cap with feathers.C．Emma is expert at designing caps.D．Emma has been more absorbed in her job.6．What can be the best title for the text?A．Emma Watson：You Can Be the Best ActressB．Emma Watson：You Can Be a WarriorC．The Way to Be a Delicate PrincessD．The Way to Be a Good Performer7．What's the author's attitude to Emma Watson?A．Critical.B．Objective.C．Cautious.D．Appreciative.CInstead of going on a trip or buying herself new clothes：Xiao Tong from Wuhan，Hubei Province，chose to celebrate her senior high school graduation in a differentway.She went to a beauty clinic to have plastic surgery on her nose.“I want to make a good impression and start my university life with a brand-new look，”the 18-year-old told Changjiang Daily.Like Xiao Tong，many young Chinese are anxious about their looks，and more and more subject themselves to plastic surgery.Young people do it for different reasons，and improving self-confidence is one of them.Wang Fang，18，from Beijing，felt that her eyes were too small.In 2019，after she got in university，Wang had a minor operation done on her eyelids.“Before I had the surgery，I had a negative view of myself.Therefore，I had no confidence，”Wang told Beijing Youth Daily.But Jiang Wenxiu of the Department of Psychiatry，Zhongda Hospital，Southeast University in Jiangsu，advised that people should think twice before going under the knife.“Medical beauty apps only show how great plastic surgery can be，”Jiang told China Daily.“They leave out all the negative things.”Today beauty clinics are well aware that these young students are mostly short of money，so they use summer discounts，installment plans and other ways to attract their attention.Xiao Zhen，17，from Chengdu，Sichuan Province，is one of the victims.She took out a loan(贷款) of about 20，000 yuan to get plastic surgery.But the large sum of money became a big burden.She had to drop out of school and go to work to pay off the loan.Besides the financial burden，potential health risks of plastic surgery also need to be considered.“If you have big problems with your look，you should wait until you are a full adult，and then decide if you want to do something about it，”Jiang said.“Then，with a stable(稳定的)mind，you can consider inner and outer beauty，and whether plastic surgery is for you.”8．Why does the author mention Xiao Tong in the first paragraph?A．To explain what plastic surgery is.B．To praise her bravery to live a different life.C．To show the popularity of plastic surgery.D．To introduce a new way to start university.9．What does Xiao Zhen lose for her surgery?A．Freedom.B．Education.C．Health.D．Confidence.10．What is Jiang Wenxiu's attitude towards plastic surgery?A．Admiring.B．Worried.C．Cautious.D．Satisfied.11．What is the best title of the passage?A．Popular Plastic Surgery.B．Never Take Plastic Surgery.C．What Makes Plastic Surgery Popular?D．Show Your Confidence in Plastic Surgery.DIt is generally acknowledged that young people from poorer socio-economic backgrounds tend to do less well in the education system.In an attempt to help the children of poor families，a nationwide program called“Headstart” was started in the US in 1965.A lot of money was poured into it.It took children into preschool institutions at the age of three and was supposed to help them succeed in school.But the results have been disappointing，because the program began too late.Many children who entered it at three were already behind their peers in language and intelligence and the parents were not involved in the process.At the end of each day，“Headstart”children returned to the same disadvantaged home environment.To improve the results，another program was started in Missouri that concentrated on parents as the child's first teachers.This program was based on research showing that working with the family is the most effective way of helping children get the best possible start in life.The four-year study included 380 families who were about to have their first child and represented different socio-economic status，age and family structure.The program involved trained educators visiting and working with the parent or parents and the child.The program also gave the parents some guidance，and useful skills on child development.At three，the children involved in the “Missouri” program were evaluated withthe children selected from the same socio-economic backgrounds and family situations.The results were obvious.The children in the program were more advanced in language development，problem solving and other intellectual skills than their peers.They performed equally well regardless of socio-economic backgrounds or family structure.The one factor that was found to affect the child's development was the poor quality of parent-child interaction.That interaction was not necessarily bad in poorer families.The “Missouri”program compares quite distinctly with the “Headstart”program.Without a similar focus of parent education and on the vital importance of the first three years，some evidence indicates that it will not be enough to overcome education unfairness.12．What caused the failure of the “Headstart” program?A．The large number of poor families.B．The disapproval from children.C．The late start of the program.D．The long period of time.13．What do we know about the “Missouri” program?A．It focused on the children's first school teachers.B．It helped the children return to the same home.C．It made the children improved in many aspects.D．It gave the parents advice on their development.14．According to the passage，what is likely to influence children's performance? A．The number of family members.B．The teacher-student relationship.C．The intelligence of their parents.D．The parent-child communication.15．How does the author develop the passage?A．By listing figures.B．By making comparisons.C．By presenting ideas.D．By drawing conclusions.第二节To tell the truth，no one has the right to judge you.People may have heard your stories，but they can't feel what you are going through; they aren't living YOUR life.16 Instead，focus on how you feel about yourself，and do what you think is right.17 Your relationship with yourself is the closest and most important one you will ever have.If you don't take good care of yourself，then you can't take good care of others either.Taking care of yourself is the best thing you can do.Do what you know is right，for YOU.Don't be afraid to walk alone，and don't be afraid to like it.Don't let anyone's words stop you from being the best you can be.18 When you are totally at peace within yourself，nothing can shake you.Follow your own path. 19 Make use of the chance to make life all that you want it to be.Work hard for what you believe，and keep your dreams big and your worries small.Forgive those who have wronged you. 20 It is a special quality of the strong and wise.It allows you to focus on the future instead of the past.Without forgiveness，wounds can never be healed，and moving on can never be achieved.A．Take care of yourself.B．So forget what they say about you.C．Forgiveness is a gift you give yourself.D．Show everyone your love and kindness.E．Every new day is a chance to change your life.F．Keep doing what you know in your heart is right.G．When you are dealing with failure，don't be ashamed.第二部分语言运用第一节Everyday on the way to work I drive down a street lined with pine trees.One tree in particular 21 my attention.It must have suffered some 22 .Part of its trunk grew nearly parallel to the ground，and then in an effort to 23 its own course of life，the trunk took a 90 degree turn 24 to stand tall and stretch toward the sun.This tree became a 25 for me.Each day as I drove by，I saw this bent butdetermined tree and I would be 26 ．It was a reminder to me that 27 I may not have had the best start in life，I could change 28 in the parts of my life at any time.I was planning to stop one day to get a perfect 29 of my kindred-spirit(志趣相同的) tree.But that week I was 30 ．After that busy week，I still didn't take any action.Every time I drove by the tree I would 31 myself，“Tomorrow，I'll stop to take one.”Then one day，as I 32 by “my” tree，I glanced over，and much to my 33 I found a sawed-off stump(树桩) where that symbolic tree had stood.Gone.I had 34 my plan until “tomorrow” and tomorrow proved to be too35 ．A picture of a tree gives me a lesson clearly that if we knew we would never have the opportunity to do it again？Why not do those things that you have been putting off until tomorrow？21.A．paid B．caughtC．fixed D．escaped22．A．damage B．influenceC．experience D．defeat23．A．follow B．designC．change D．imagine24．A．applying B．attemptingC．happening D．learning25．A．shelter B．signalC．sign D．symbol26．A．interested B．satisfiedC．encouraged D．educated27．A．even though B．as ifC．in case D．if only28．A．purpose B．planC．habit D．direction29．A．glance B．viewC．picture D．knowledge30．A．busy B．freeC．worried D．bored31．A．tell B．helpC．call D．see32．A．wandered B．droveC．rode D．ran33．A．surprise B．pleasureC．regret D．happiness34．A．taken off B．cut offC．put off D．called off35．A．cold B．farC．sunny D．late第二节A 90-year-old has been awarded “Woman Of The Year” for 36.________(be) Britain's oldest full-time employee—still working 40 hours a week.Now Irene Astbury works from 9 am to 5 pm daily at the pet shop in Macclesfield，37.________ she opened with her late husband Les.Her years of hard work have 38.________(final) been acknowledged after a customer nominated(提名) her to be Cheshire's Woman Of The Year.Picking up her “Lifetime Achievement”award，proud Irene 39.________(declare) she had no plans 40.________(retire) from her 36-year-old business.Irene said，“I don't see any reason to give up work.I love coming here and seeing my family and all the friends I 41.________(make) over the years.I work not because I have to，42.________ because I want to.”Granddaughter Gayle Parks，31—who works alongside her in the family business—said it remained unknown as to who nominated Irene for the award.She said，“We don't have any idea who put grandma forward.When we got a call 43.________(say) she was short-listed，we thought it was 44.________ joke.But then we got an official letter and we were blown away.We are so proud of her.It's 45.________(wonder)．”第三部分写作第一节假如你是李明，根据学校安排，你给即将到你校任教的外籍教师Jack推荐一名学生助手(assistant)。