(完整版)2018年河北省专接本数一试题及答案(word板),推荐文档
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河北省2005年专科接本科教育考试数学(一)(理工类)试题(考试时间:60分钟 总分:120分)一、单项选择题(本大题共10个小题,每小题2分,共20分。
在每小题给出的四个备选项中,选出一个正确的答案,并将所选项前的字母填写在答题纸的相应位置上,填写在其它位置上无效。
)1 在区间[]1,1-上,设函数)(x f 是偶函数,那么)(x f -( ) A 是奇函数 B 是偶函数C 既不是奇函数也不是偶函数D 不能被判定奇偶性 2 设0x ,sin 2)(),1()(2→=+=当x x x x In x a β时,( ) A()()x βαx 没有极限 B ()x α与()x β是等价无穷小C ()x α与()x β是同阶无穷小D ()x α是比()x β高阶的无穷小3 如果函数)(x f 在点0x 处连续,并且在点0x 的某个去心邻域内)(x f >0,那么( ) A 0)(0≥x f B 0)(0>x f C 0)(0=x f D 0)(0<x f4 设函数)(x f 在点0x 可导,那么)(x f ( )A 在点0x 的某个邻域内可导B 在点0x 的某个邻域内连续C 在点0x 处连续D 不能判定在点0x 处是否连续5 设函数)(x f 满足等式,05=-'-''y y y 并且0)(0)(00<='x f x f ,,那么在点0x 处,函数)(x f ( )A 不能被判定是否取得极值B 一定不取得极值C 取得极小值D 取得极大值 6 设βα,是两个向量,并且=⋅=⋅==βαβαβα那么,2,2,2( )A 2 B 22 C21 D 17 直线712131-=--=-z y x 与平面3x-2y+7z=8的关系式( ) A 平行但直线不在平面内 B 直线垂直与平面C 直线在平面内D 直线与平面既不垂直也不平行8 设∑∞=-=-+1101)(n n na aa ,那么极限=∞→n n a lim ( )A 可能存在,也可能不存在B 不存在C 存在,但是极限值无法确定D 存在,并且极限值为1 9 微分方程1=+''y y 的通解是( ) A 1cos +=x C y ,其中C 为任意常数 B 1sin +=x C y ,其中C 为任意常数C 1sin cos 21++=x C x C y ,其中21,C C 为任意常数D 1sin cos 21-+=x C x C y ,其中21,C C 为任意常数10 设A 为n 阶方阵(),2≥n λ为常数(1≠λ),那么|λA|=( ) A | A|B nλ|A|C |λ| | A|D λ | A|二 填空题(本大题共10个小题,每小题3分,共30分。
绝密★启用前河北省2018年普通高等学校招生全国统一考试文科数学注意事项:1.答卷前,考生务必将自己的姓名、准考证号填写在答题卡上。
2.回答选择题时,选出每小题答案后,用铅笔把答题卡上对应题目的答案标号涂黑。
如需改动,用橡皮擦干净后,再选涂其它答案标号。
回答非选择题时,将答案写在答题卡上。
写在本试卷上无效。
3.考试结束后,将本试卷和答题卡一并交回。
一、选择题:本大题共12小题,每小题5分,共60分,在每小题给出的四个选项中,只有一项是符合题目要求的。
1.已知集合A={0,2},B={ -2,-1,0,1,2},则A∩B=A. {0,2}B. {1,2}C. {0}D. {-2,-1,0,1,2}2,设z=,则∣z∣=A. 0B.C. 1D.3.某地区经过一年的新农村建设,农村的经济收入增加了一倍,实现翻番,为更好地了解该地区农村的经济收入变化情况,统计了该地区新农村建设前后农村的经济收入构成比例,得到如下饼图:则下面结论中不正确的是A. 新农村建设后,种植收入减少B. 新农村建设后,其他收入增加了一倍以上C. 新农村建设后,养殖收入增加了一倍D. 新农村建设后,养殖收入与第三产业收入的总和超过了经济收入的一半4.已知椭圆C:+=1的一个焦点为(2,0),则C的离心率为A.B.C.D.5.已知椭圆的上、下底面的中心分别为O₁,O₂,过直线的平面截该圆柱所得的截面是面积为8的正方形,则该圆柱的表面积为A. 12πB. 12πC. 8πD. 10π6.设函数f(x)=x ³+(a-1)x ²+ax。
若f(x)为奇函数,则曲线y= f(x)在点(0,0)处的切线方程为A. y=-2xB. y=-xC. y=2x7.在∆ABC中,AD为BC边上的中线,E为AD的中点,则=A. -B. -C. +D. +8.已知函数f(x)=2cos ²x-sin ²x+2,则A. f(x)的最小正周期为π,最大值为3B. 不f(x)的最小正周期为π,最大值为4C. f(x)的最小正周期为2π,最大值为3D. D. f(x)的最小正周期为2π,最大值为49.某圆柱的高为2,底面周长为16,其三视图如右图。
2018年河北省普通高等学校对口招生考试数学试题一、选择题(本大题共15小题,每小题3分,共45分.在每小题给出的四个选项中,只有一个符合题目要求)1.设集合{}0,1,2,3,4M =,{}03N x x =<≤,则M N =I ( ).A {}1,2 .B {}0,1,2 .C {}1,2,3 .D {}0,1,2,32.若,,a b c 为实数,a b >,则( ).A a c b c ->- .B 22a b > .C ac bc > .D 22ac bc >3.“2x >”是“2x >”的( ).A 充分不必要条件 .B 必要不充分条件.C 充分必要条件 .D 既不充分也不必要条件4.下列函数中,既是奇函数又是减函数的是( ).A 13y x = .B 22y x = .C 3y x =- .D 1y x= 5.函数sin 24y x π⎛⎫=- ⎪⎝⎭的图象可以由函数sin 2y x =的图象如何得到( ) .A 向左平移4π个单位 .B 向右平移4π个单位 .C 向左平移8π个单位 .D 向右平移8π个单位 6.已知向量()()1,2,3,a b m =-=u u r u r ,a b a b +=-u u r u r u u r u r ,则m =( ) .A 32- .B 32.C 6 .D 6- 7.下列函数中,周期为π的偶函数是( ).A sin y x = .B sin 2y x = .C sin y x = .D cos 2x y = 8.在等差数列{}n a 中,若12312a a a ++=,23418a a a ++=,则345a a a ++=( ) .A 22 .B 24 .C 26 .D 309.记n S 为等比数列{}n a 的前n 项和,若2410,40S S ==,则6S =( ) .A 50 .B 70 .C 90 .D 13010.下列各组函数中,表示同一个函数的是( ).A y x =与y .B y x =与y =.C y x =与y = .D y y =11.过圆2225x y +=上一点()3,4的切线方程为( ).A 34250x y +-= .B 34250x y ++=.C 34250x y --= .D 34250x y -+=12.某体育兴趣小组共有4名同学,如果随机分为两组进行对抗赛,每组2名队员,分配方案共有( ).A 2种 .B 3种 .C 6种 .D 12种13.设()201822018012201821x a a x a x a x -=++++L ,则122018a a a +++=L ( ) .A 0 .B 1 .C 1- .D 201821-14.已知平面上三点()()()1,2,3,0,4,3A B C -,则点B 关于AC 中点的对称点的坐标是( ).A ()1,4 .B ()5,6 .C ()1,4-- .D ()2,115.下列命题中正确的是( )(1)平行于同一直线的两条直线平行 (2)平行于同一平面的两条直线平行(3)平行于同一直线的两个平面平行 (4)平行于同一平面的两个平面平行.A (1)(2) .B (1)(3) .C (1)(4) .D (2)(4)二、填空题(本大题共15小题,每小题2分,共30分)16.已知函数()24,0ln ,0x x f x x x ⎧+≤=⎨>⎩,则(){}f f f e ⎡⎤=⎣⎦ . 17.函数2log y x -的定义域为 .18.计算:14281log cos30!16π-⎛⎫+-= ⎪⎝⎭ . 19.不等式21139x x +⎛⎫> ⎪⎝⎭的解集为 . 20.若()f x 为定义在R 上的奇函数,则()10f e += .21.已知等差数列{}n a 的前n 项和24n S n n =-,则公差d = . 22.ABC ∆为等边三角形,则 AB u u u r 与CA u u u r 的夹角为 .23.若sin cos 2αα-=,则sin2α= . 24.过直线230x y +-=和直线210x y -+=的交点,且斜率为1-的直线的一般式方程为 .25.若333sin ,cos ,tan 888a b c πππ===,则,,a b c 从小到大的顺序为 . 26.过抛物线28y x =的焦点的弦AB 的中点的横坐标为3,则AB = .27.设直线a 与平面α所成的角为3π,直线b α⊆,则a 与b 所成角的范围是 . 28.已知锐角ABC ∆的外接圆的面积为9π,若3a =,则cos A = .29.在ABC ∆中,5AB AC cm ==,6BC cm =,若PA ⊥平面ABC ,PA =,则PBC ∆的面积为 .30.将一枚硬币抛掷3次,则至少出现一次正面的概率为 .三、解答题(本大题共7小题,共45分,请在答题卡中对应题号下面指定的位置作答,要写出必要的文字说明、注明过程和演算步骤)31.(5分)已知集合{}{}260,A x x x B x x m =--≥=≥,且A B A =U ,求m 的取值范围.32.(8分)如图,将直径为8分米的半圆形铁板裁成一块矩形铁板,使矩形铁板ABCD的面积最大.(1)求AD的长;(2)求矩形铁板ABCD的最大面积.33.(6分)已知{}n a为等差数列,n a n=,记其前n项和为n S,1nnbS=,求数列{}n b的通项公式及{}n b的前n项和n T.34.(6分)已知函数2cos siny x x x=-.(1)求函数的值域;(2)求函数的最小正周期;(3)求使函数取得最大值的x的集合.35.(7分)已知直线l交椭圆2211612x y+=于,A B两点,()2,1M为AB的中点,求直线l的方程.OA BCD•36.(7分)在ABC ∆中,90,1ACB AC BC ∠=︒==,VC ⊥平面ABC ,1,VC D =为VA 中点.(1)求证:VA ⊥平面DBC ; (2)求DB 与平面ABC 所成角的正弦值.37.(6分)从4名男生和3名女生中任选3人参加学校组织的“两山杯”环保知识大赛,设ξ表示选中3人中女生的人数.求(1)至少有1名女生的概率;(2)ξ的概率分布.A CD V B参考答案一、选择题1.【答案】C .【考点】集合的交(两集合的公共元素组成的集合).【解析】M N I 表示M 和N 的公共元素组成的集合,故选C .2.【答案】.A【考点】不等式的基本性质.【解析】B 项反例:1,2a b ==-;C 、D 项反例:0c =;根据不等式性质:不等式两边同时加上或减去同一个数,不等式不变。
普通高校专科接本科教育选拔考试高等数学(一)试卷(考试时间:60分钟) (总分:100分)说明:请在答题纸的相应位置上作答,在其它位置上作答的无效.一、单项选择题(0本大题共10小题,每小题3分,共30分.在每小题给出的四个备选项中,选出一个正确的答案,请将选定的答案填涂在答题纸的相应位置上.)1.函数)2(3)(-+-=x In x x f 的定义域为( ).【集训营第一章原题型】. A. (2,3] B.[3,+∞) C.(-∞,2) D.[2,3)2.设函数00,)21(,)(1>≤⎩⎨⎧++=x x x e a x f xx 在0=x 处连续,则常数=a ( ).【魔鬼班卷四5题数二】. A.1-e B.e C.1-e D.12-e3.设)(0'x f ,)0('f 均存在,以下四式中错误的一项是( ). 【习题册第二章限时原题型】 A. 000')()(lim)(0x x x f x f x f x x --=→B. h x f h x f x f h )()(lim)(0000'-+=→C. xx f x x f x f x ∆-∆+=→∆)()(lim)(0000'D. xx f f x )(lim)0(0'→= 4.当 0→x 时,与 x tan 等价的无穷小是( ). 【保过班第二章原题型】 A. x x -2 B. x cos 1- C.x x sin 2+ D.11-+x5.设矩阵=⎪⎪⎭⎫ ⎝⎛=-1,4321A A 则( ). 【保过班测试卷5原题型】 A.21 B. 21- C. 1 D. -16.设'()ln ()cos ,()xf x f x x dx f x ==⎰则( ). 【新题型】 A. C x x x ++)sin (cos B.C x x x +-cos sin C.C x x x +-sin cos D.C x x +sin7.过点)1,0,2(0-P ,且垂直与平面032=+-z y x 的直线方程是( ). 【保过班第四章测试原题型】 A.31212+=-=-z y x B.31212--==--z y x C.31212-=-=+z y x D.31212-+==-+z y x 8.下列所给级数中收敛的是( ). 【习题册第七章8题原题型】A. ∑∞=11n nB.∑∞=11n n C. n n n1)1(1∑∞=- D. 51∑∞=n nIn9.设A,B 为同阶方阵,则有( ). 【习题册第九章限时3题原题】 A. T T T B A AB =)( B. BA AB =C.111)(---+=+B A B A D. BA AB = 10.微分方程22=-y dxdy通解为( ). 【习题册第八章原题型】 A. 12-=x ce y B. 12+=x ce y C. 1-=x ce y D.1+=x ce y 二、填空题(本大题共5小题,每小题4分,共20分。
河北省2018年高考文科数学试题及答案(Word 版)(试卷满分150分,考试时间120分钟)注意事项:1.答卷前,考生务必将自己的姓名和准考证号填写在答题卡上。
2.回答选择题时,选出每小题答案后,用铅笔把答题卡对应题目的答案标号涂黑。
如需改动,用橡皮擦干净后,再选涂其它答案标号。
回答非选择题时,将答案写在答题卡上。
写在本试卷上无效。
3.考试结束后,将本试卷和答题卡一并交回。
一、选择题:本题共12小题,每小题5分,共60分。
在每小题给出的四个选项中,只有一项是符合题目要求的。
1.已知集合{}02A =,,{}21012B =--,,,,,则A B =A .{}02,B .{}12,C .{}0D .{}21012--,,,, 2.设1i2i 1iz -=++,则z = A .0B .12C .1D .23.某地区经过一年的新农村建设,农村的经济收入增加了一倍.实现翻番.为更好地了解该地区农村的经济收入变化情况,统计了该地区新农村建设前后农村的经济收入构成比例.得到如下饼图:则下面结论中不正确的是 A .新农村建设后,种植收入减少B .新农村建设后,其他收入增加了一倍以上C .新农村建设后,养殖收入增加了一倍D .新农村建设后,养殖收入与第三产业收入的总和超过了经济收入的一半4.已知椭圆C :22214x y a +=的一个焦点为(20),,则C 的离心率为 A .13B .12C .22D .2235.已知圆柱的上、下底面的中心分别为1O ,2O ,过直线12O O 的平面截该圆柱所得的截面是面积为8的正方形,则该圆柱的表面积为 A .122πB .12πC .82πD .10π6.设函数()()321f x x a x ax =+-+.若()f x 为奇函数,则曲线()y f x =在点()00,处的切线方程为A .2y x =-B .y x =-C .2y x =D .y x =7.在△ABC 中,AD 为BC 边上的中线,E 为AD 的中点,则EB = A .3144AB AC - B .1344AB AC - C .3144AB AC +D .1344AB AC + 8.已知函数()222cos sin 2f x x x =-+,则 A .()f x 的最小正周期为π,最大值为3 B .()f x 的最小正周期为π,最大值为4 C .()f x 的最小正周期为2π,最大值为3 D .()f x 的最小正周期为2π,最大值为49.某圆柱的高为2,底面周长为16,其三视图如右图.圆柱表面上的点M 在正视图上的对应点为A ,圆柱表面上的点N 在左视图上的对应点为B ,则在此圆柱侧面上,从M 到N 的路径中,最短路径的长度为A .217B .25C .3D .210.在长方体1111ABCD A B C D -中,2AB BC ==,1AC 与平面11BB C C 所成的角为30︒,则该长方体的体积为 A .8B.C.D.11.已知角α的顶点为坐标原点,始边与x 轴的非负半轴重合,终边上有两点()1A a ,,()2B b ,,且2cos 23α=,则a b -= A .15B.5C.5D .112.设函数()201 0x x f x x -⎧=⎨>⎩,≤,,则满足()()12f x f x +<的x 的取值范围是A .(]1-∞-,B .()0+∞,C .()10-,D .()0-∞,二、填空题(本题共4小题,每小题5分,共20分)13.已知函数()()22log f x x a =+,若()31f =,则a =________.14.若x y ,满足约束条件220100x y x y y --⎧⎪-+⎨⎪⎩≤≥≤,则32z x y =+的最大值为________.15.直线1y x =+与圆22230x y y ++-=交于A B ,两点,则AB =________.16.△ABC 的内角A B C ,,的对边分别为a b c ,,,已知sin sin 4sin sin b C c B a B C +=,2228b c a +-=,则△ABC 的面积为________.三、解答题:共70分。
河北专接本数学(级数)模拟试卷1(题后含答案及解析) 题型有:1. 选择题 2. 填空题 4. 解答题选择题在每小题给出的四个选项中,只有一项是符合要求的。
1.对于正项级数,其部分和数列{Sn}有界是其收敛的[ ].A.充分不必要条件:B.必要不充分条件;C.充分且必要条件:D.既非充分又非必要条件.正确答案:C 涉及知识点:级数2.下列说法正确的是[ ].A.若数列{un}收敛,则级数收敛;B.若数列{un}收敛,则级数发散;C.若级数发散,则数列{un}发散;D.若级数收敛,则数列{un}收敛,且其极限为0.正确答案:D 涉及知识点:级数3.级数收敛的充要条件是[ ].A.;B.;C.;D..正确答案:C 涉及知识点:级数4.若[ ]A.必定发散;B.可能收敛,也可能发散;C.必收敛于O:D.必收敛于a-u0.正确答案:D 涉及知识点:级数5.若收敛于s,则级数收敛于[ ].A.发散:B.可能收敛,也可能发散:C.收敛于2s;D.收敛于2s-u1.正确答案:D 涉及知识点:级数6.正项级数收敛是级数收敛的[ ].A.充分条件:B.必要条件:C.充分必要条件:D.既不充分也不必要条件.正确答案:A 涉及知识点:级数7.若正项级数收敛,则级数[ ].A.条件收敛:B.绝对收敛;C.发散;D.敛散性不定.正确答案:B 涉及知识点:级数8.正项级数收敛是级数收敛的[ ]。
A.充分条件;B.必要条件:C.充分必要条件:D.既不充分也不必要条件.正确答案:A 涉及知识点:级数9.若级数收敛,则[ ].A.条件收敛;B.绝对收敛;C.发散;D.敛散性不定.正确答案:B 涉及知识点:级数10.若级数收敛(un≠0),则必有[ ].A.收敛;B.收敛;C.收敛;D.发散正确答案:D 涉及知识点:级数11.设正项级数收敛,则下列级数中,一定收敛的是[ ].A.B.C.D.正确答案:A 涉及知识点:级数12.根据级数收敛的定义,下面各级数中收敛的是[ ].A.B.C.D.正确答案:B 涉及知识点:级数13.下列级数中发散的是( )A.B.C.D.正确答案:A 涉及知识点:级数14.下列无穷级数中,条件收敛的是( ).A.B.C.D.正确答案:A 涉及知识点:级数填空题15.若级数收敛,则级数________.正确答案:发散涉及知识点:级数16.若级数收敛,发散,则级数________.正确答案:发散涉及知识点:级数17.等比级数当________时收敛,当________时发散。
2018年河北省专接本英语考试真题及答案2018河北省专接本英语考试真题及答案Part I Listening Comprehension (30%)Section A:Directions: In this section, you will hear three conversations. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. A) A manB) A womanC) A boyD) A girl2. A) To the bankB) To the hotelC) To the hospitalD) To the post office3. A) Five dollarsB) Ten dollarsC) Fifteen dollarsD) Twenty dollarsSection B:Directions: In this section, you will hear two long conversations. At the end of each conversation, you will hear several questions. Both the conversation and the questions will be spoken only once. After you hear a question, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.Conversation One:4. A) Before the deadlineB) After the deadlineC) Not mentionedD) On the deadline5. A) HappyB) DisappointedC) SurprisedD) Angry6. A) TiredB) PleasedC) WorriedD) ExcitedConversation Two:7. A) She can do it within a week.B) It will be finished by the end of the month.C) She is ready to start the project right now.D) She has some concerns about the project.8. A) He thinks hard work is unnecessary.B) He believes fun is the most important thing.C) He thinks smart kids are always successful.D) He doesn’t believe intelligence guarantees success. Part II Reading Comprehension (40%)Section A:Directions: In this section, there are five passages followed by questions or unfinished statements. For each of them, there are four choices marked A, B, C and D. Choose the best answer and mark the corresponding letter with a single bar across the square brackets on your Machine-scoring ANSWER SHEET.Passage One:9. A) CookingB) FarmingC) FishingD) Gardening10. A) They are one of the most interesting groups of creatures in the sea.B) They provide food for other animals.C) They are intelligent animals that can easily be trained.D) They are dangerous creatures that should be avoided.Passage Two:11. A) Believing in yourselfB) Believing in GodC) HopeD) Love12. A) The power of GodB) Hope can change a person’s lifeC) Hope is more powerful than any other forceD) The power of lovePassage Three:13. A) Ancient GreeceB) RomeC) EgyptD) China14. A) For good luckB) As protection against evilC) As a fashion statementD) A sign of high social status15. A) Because metal was scarce at the timeB) To show their religious beliefC) To establish their identityD) To indicate their social classPassage Four:16. A) Visit a new countryB) Go on a road tripC) Start a new jobD) Begin a new relationship17. A) Family membersB) FriendsC) ColleaguesD) Strangers18. A) It can be an exciting adventure.B) It can lead to self-discovery.C) It can be intimidating at first.D) It can help people learn about different cultures. Passage Five:19. A) The tzompantli was used for religious ceremonies.B) The heads were taken as war trophies.C) The tzompantlis were replaced by human sacrifice.D) The skulls on the tzompantlis belonged to evil-doers.20. A) The death of a person from natural causesB) A violent and painful deathC) A clean death without disgraceD) An unexpected and tragic deathSection B:Directions: In this section, you are going to read a passage with ten statements attached to it. Each statement contains information given in one of the paragraphs. Identify the paragraph from which the information comes. You may choose a paragraph more than once. Each paragraph is marked with a letter. Answer the questions by marking the corresponding letter with a single bar across the square brackets on yourMachine-scoring ANSWER SHEET.21. Ben Franklin was born in 1706.22. B en Franklin’s father wanted him to become a clergyman.23. Ben Franklin never took a vacation.24. Ben Franklin became wealthy through his inventions.25. Ben Franklin refused to take a salary for his work on the Declaration of Independence.26. Paris soon became Ben Franklin’s second home.27. Ben Franklin went on his last foreign mission at the age of 81.28. Ben Franklin buried much of his fortune in a beehive.29. Ben Franklin never married.30. Ben Franklin was one of the first to suggest daylight saving time.Part III Vocabulary and Structure (20%)Section A: Choose the word or phrase that best completes each sentence and mark the corresponding letter with a single bar across the square brackets on your Machine-scoring ANSWER SHEET.31. A) upB) overC) downD) on32. A) becauseB) thereforeC) on the contraryD) unless33. A) movedB) had movedC) would moveD) had been moving34. A) been workingB) were workingC) had been workingD) would work35. A) in the wayB) in factC) in favor ofD) in the middleSection B: Choose the best answer to each question or incomplete statement and mark the corresponding letter with a single bar across the square brackets on your Machine-scoring ANSWER SHEET.36. A) atB) forC) duringD) with37. A) thoughtB) thinkingC) thinkD) thinks38. A) Neither the teacher nor the students is responsible for the accident.B) Neither the teacher nor the students are responsible for the accident.C) Neither the teacher nor the students responsible for the accident.D) Neither the teacher or the students is responsible for the accident.39. A) for fear ofB) because ofC) instead ofD) in favor of40. A) atB) inC) onD) byPart IV Writing (10%)Section A:Directions: Write an invitation letter according to the following situation. This part is to be completed on ANSWER SHEET 2.Situation: You are hosting a dinner party to celebrate your graduation. Write an invitation letter to your friend Jane, who has just returned from a trip abroad.Section B:Directions: Write an essay on the following topic. You should write at least 150 words. Be sure to write about your personal experience or thought.Topic: The Importance of Learning a Second LanguageAnswers:1. B) A woman2. C) To the hospital3. B) Ten dollars4. D) On the deadline5. A) Happy6. B) Pleased7. B) It will be finished by the end of the month8. D) He doesn’t believe intelligence guarantees success9. B) Farming10. B) They provide food for other animals11. C) Hope12. B) Hope can change a person’s life13. D) China14. B) As protection against evil15. C) To establish their identity16. D) Begin a new relationship17. D) Strangers18. D) It can help people learn about different cultures19. B) The heads were taken as war trophies20. B) A violent and painful death21. A22. B23. E24. E25. E26. F27. F28. F29. H30. H31. A) up32. D) unless33. B) had moved34. C) had been working35. B) in fact36. C) during37. B) thinking38. B) Neither the teacher nor the students are responsible for the accident39. A) for fear of40. D) byOverall, the 2018 Hebei Province correspondence undergraduate English exam was a comprehensive test that evaluated listening, reading, vocabulary, structure, and writingskills. Students were challenged to think critically and demonstrate their English proficiency. Good luck to all the participants!。
2018年河北省专接本英语考试真题2018 Hebei Province Adult Higher Education English ExamListening ComprehensionPart ADirections: In Part A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. W: Can I help you?M: Yes, please. I’d like to book a table for two for tonight.Q: What does the man want to do?A. He wants to help the woman.B. He wants to book a table for two.C. He wants to have a meeting with the woman.D. He wants to have dinner with the woman.2. W: I heard that you are going back to Canada next week. M: Yes, I am. I’ve been staying here for a month.Q: What will the man do next week?A. He will go to Canada.B. He will stay here.C. He has been in Canada for a month.D. He will go to China.3. M: Hi, Alice. Long time no see! Are you free this weekend? W: Hey, John! I’m sorry, I have to work on Saturday.Q: What is Alice’s plan for this weekend?A. She will work on Saturday.B. She will meet John on Saturday.C. She will go out with John on Saturday.D. She will go shopping on Saturday.4. M: Do you have a map of the city? I’m lost.W: Sure. Here you are.Q: What is the man’s problem?A. He needs a map of the city.B. He doesn’t know where he is.C. He is lost.D. He is looking for a woman.5. W: Hello, this is Jane. May I speak to Peter, please?M: I’m afraid Peter is not in at the moment. May I take a message?Q: Who is on the phone?A. Jane.B. Peter.C. Apeter.D. Nobody.Part BDirections: In Part B, you will hear a longer conversation and a short passage. After each conversation or passage, you will be asked several questions. The conversations and the passages will be read twice, but questions will be spoken only once. When you hear a question, read the four possible answers on your paperand decide which one would be the best answer to the question you have heard.Conversation 1M: Hi, Susan. How are you doing?W: Hi, Jack. I’m good, thanks. And you?M: Not bad. I’m thinking about going to see a movie this weekend. Would you like to come with me?W: That sounds like a great idea. What’s on at the cinema these days?M: There’s a new action movie called “The Avengers: Infinity War”.W: I’ve heard about that. Let’s go watch it then.Q6: Who initiated the conversation?A. JackB. SusanC. TomD. MaryQ7: What are Jack and Susan planning to do?A. Go to the cinema.B. Go shopping.C. Have dinner.D. Go to a concert.Q8:What movie are they planning to watch?A. The Avengers: Infinity WarB. TitanicC. Spider-ManD. The Lion KingConversation 2M: Hello, Sally. You look upset. What’s the matter?W: Oh, hi, Mike. My car broke down on the way to work this morning.M: That’s unfortunate. Do you need any help?W: No, thanks. I’ve already called the repair shop. They will come and fix it soon.M: Okay. Let me know if you need anything.W: Thanks, Mike.Q9:What happened to Sally this morning?A. She got lost.B. She broke her car.C. She was late for work.D. She called the repair shop.Q10: Who will come and fix Sally’s car?A. MikeB. SallyC. NobodyD. The repair shopQ11: What is Mike’s response to the situation?A. He offered to help.B. He ignored Sally.C. He called the repair shop.D. He fixed the car himself.Passage:During medieval times, there were fewer doctors, and medical knowledge was limited. There were many deadly diseases, so people tried to protect themselves in various ways. One popular belief was that garlic had special powers. People believed that garlic could keep away evil spirits and diseases. Another belief was that gemstones could protect them from harm. Those who could afford it would wear gemstones to keep themselves safe. There was also a common belief that wearing charms could bring good luck. Overall, people in medieval times relied more on superstitions and beliefs to keep themselves healthy and safe.Q12: What did people believe about garlic during medieval times?A. It could keep evil spirits away.B. It tasted delicious.C. It could turn people into vampires.D. It had medicinal properties.Q13: What did people believe about gemstones?A. They could make people rich.B. They could protect people from diseases.C. They could bring bad luck.D. They were useless.Q14: What did people believe about wearing charms?A. They could bring good luck.B. They could bring bad luck.C. They were useless.D. They were too expensive.Reading ComprehensionPart ADirections: In Part A, you will read a press release about a talented musician. After reading the press release, you are required to complete the sentences that follow. You can fill in the blanks with one or two words.Press Release:Alex Johnson, a Young Musician on the RiseAlex Johnson is a talented young musician with a passion for the piano. At just 18 years old, this (15)___ has already achieved (16)____ success in the music industry. (17)____ his incredible talent and dedication, Alex has become a rising star in the worldof music. He started playing the piano at the age of five and has been (18)_____ practicing and honing his skills ever since. Recently, he (19)____ his first album, which has received (20)_____ reviews from critics and audiences alike. As he continues to (21)_____ his music, Alex hopes to inspire others with his passion and talent.15. A. musician16. B. early17. C. Thanks to18. D. diligently19. E. released20. F. positive21. G. pursuePart BDirections: In Part B, you will read three passages and answer the questions that follow each passage. For questions 24-26, choose the best answer from the options that you have read.Passage OneDo you want to travel but are concerned about your budget? Here are some tips to help you travel on a budget. First, look for budget airlines or buses. They often offer lower fares than traditional airlines, allowing you to save money on transportation. Second, consider staying in hostels or guesthouses instead of hotels. They are usually more affordable and can provide you with a fun and unique experience. Lastly, try local street food instead of expensive restaurants. Not only is it cheaper, but it can also give you a taste of the local culture.Q22: What is the main purpose of the passage?A. To introduce budget airlines.B. To provide tips for traveling on a budget.C. To recommend luxury hotels.D. To talk about expensive restaurants.Q23: What is one way to save money on transportation?A. Booking a hotelB. Taking a taxiC. Eating at expensive restaurantsD. Flying with a budget airlineQ24: Where can travelers stay to save money?A. Hostels or guesthousesB. Luxury hotelsC. AirportsD. TrainsPassage TwoThe importance of time management cannot be overstated. Effective time management allows you to make the most of your day and achieve your goals efficiently. By setting priorities and creating a schedule, you can ensure that important tasks are completed on time. It also helps you avoid procrastination and reduces stress. In today's fast-paced world, time management is a crucial skill to have.Q25: What is the main idea of the passage?A. The benefits of time managementB. The importance of procrastinationC. The disadvantages of setting prioritiesD. The significance of stressQ26: Why is time management important?A. To waste timeB. To achieve goals efficientlyC. To avoid setting prioritiesD. To increase stressPassage ThreeAs technology continues to advance, the way we communicate has evolved. Social media platforms such as Facebook, Twitter, and Instagram have become popular ways to connect with others. These platforms allow individuals to share photos, videos, and updates with their friends and followers. However, some critics argue that social media can lead to decreased face-to-face interaction and a lack of privacy. Despite these concerns, social media has become a vital part of modern communication.Q27: What is the main idea of the passage?A. The disadvantages of social mediaB. The benefits of social mediaC. The rise of technologyD. The evolution of communicationQ28: What are social media platforms used for?A. Connecting with othersB. Shopping onlineC. Playing gamesD. Watching moviesQ29: What concerns do critics have about social media?A. Increased face-to-face interactionB. Lack of privacyC. Overwhelming popularityD. Limited usage.WritingPart ADirections: Suppose you are a volunteer for a charity organization. Write an email to your friends inviting them to participate in a charity event. You should include the following information:1. Brief introduction of the charity organization and the event2. Date, time, and location of the event3. Activities planned for the event4. How your friends can get involvedRemember to:1. Write in a polite and friendly tone2. Use appropriate greetings and closings3. Use proper formatting and punctuationPart BDirections: Write a composition on the following topic: "The Benefits of Learning a Second Language." In your essay, you should:1. Explain why learning a second language is important2. Discuss the advantages of being bilingual or multilingual3. Provide examples of how knowing a second language can be beneficial in various aspects of lifeRemember to:1. Organize your ideas clearly and logically2. Use appropriate transitions to connect your ideas3. Use a variety of vocabulary and sentence structuresThis is the end of the exam. Thank you for your cooperation and good luck!。
普通高校专科接本科教育选拔考试
高等数学(一)试卷
(考试时间:60分钟)
(总分:100分)
说明:请在答题纸的相应位置上作答,在其它位置上作答的无效.
一、单项选择题(0本大题共10小题,每小题3分,共30分.在每小题给出的四个备选项中,选出一个正确的答案,请将选定的答案填涂在答题纸的相应位置上.)
1.函数的定义域为( ).【集训营第一章原题型】.
)2(3)(-+-=x In x x f A. (2,3] B.[3,+∞) C.(-∞,2) D.[2,3)
2.设函数在处连续,则常数( ).【魔鬼班卷四0
0,)21(,)(1>≤⎩⎨⎧++=x x x e a x f x x 0=x =a 5题数二】.
A. B. C. D.1-e e 1-e 1
2-e 3.设,均存在,以下四式中错误的一项是( ). 【习题册第二)(0'x f )0('f 章限时原题型】A. 0
00')()(lim )(0x x x f x f x f x x --=→B. h
x f h x f x f h )()(lim )(0000'-+=→C. x x f x x f x f x ∆-∆+=→∆)
()(lim )(000
0'D. x
x f f x )(lim )0(0'→=4.当 时,与 等价的无穷小是( ). 【保过班第二章原题型】
0→x x tan A. B. C. D.x x -2x cos 1-x x sin 2+1
1-+x 5.设矩阵( ). 【保过班测试卷5原题型】=⎪⎪⎭
⎫ ⎝⎛=-1,4321A A 则A. B. C. 1 D. -1212
1-
6.设( ). 【新题型】'()ln ()cos ,()
xf x f x x dx f x ==⎰则A. B.C x x x ++)sin (cos C
x x x +-cos sin C. D.C x x x +-sin cos C
x x +sin 7.过点,且垂直与平面的直线方程是( ). 【保过班第)1,0,2(0-P 032=+-z y x 四章测试原题型】A. B.31212+=-=-z y x 3
1212--==--z y x C. D.31212-=-=+z y x 31212-+==-+z y x 8.下列所给级数中收敛的是( ). 【习题册第七章8题原题型】
A. B. C. D. ∑∞
=11n n ∑∞=11n n n n n 1)1(1∑∞=-51∑∞=n n In 9.设A,B 为同阶方阵,则有( ). 【习题册第九章限时3题原题】
A. B. T T T B A AB =)(BA
AB =C.
D. 111)(---+=+B A B A BA AB =10.微分方程通解为( ). 【习题册第八章原题型】22=-y dx
dy A. B. C. D.12-=x ce y 12+=x ce y 1-=x ce y 1+=x ce y 二、填空题(本大题共5小题,每小题4分,共20分。
请在答题纸相应题号的位置上作答).
11.极限= . 【基础班次第三章原题型】此题有误
x e x t x cos 1)1(lim 00--⎰+→12.微分方程的通解为 . 【习题册第八章18原数034'''=+-y y y 题】
13.幂级数的收敛域为 . 【基础班次第七章原题型】n n x n
∑∞
=+1)12(14.设函数,则= . 【保过班第二章测试原数ln(y x =+dy 题】
15.设平面区域D:.
_________,222222=--≤+⎰⎰dxdy y x R R y x D
则二重积分【保过班第六章测试原题型】
三、计算题(本大题共4小题,每小题10分,共40分。
请在答题纸相应题号的位置上作答).
16.已知具有二阶连续的偏导数,若f .,),,(sin 22
y x z x z xy x f z ∂∂∂∂∂=求【习题册第五章18原题型】
17.求定积分2
02ln(1),0(1),().20,1x x f x dx f x x x x +⎧≥⎪-=⎨<⎪+⎩⎰其中【课本第三章原题型】18.利用格林公式计算曲线积分,其中是闭区dy x y x dx y x L
⎰++-)sin ()cos (2L 域:的正向边界曲线.
x y x sin 0,0≤≤≤≤π【魔鬼班第六章原题型】
19.已知线性方程组:,当取何值时,方程组有解?并
⎪⎩⎪⎨⎧=+-+=+-+=+-+54263342224321
43214321x x x x a x x x x x x x x a 求出通解.
【基础班次第九章原题型】
四、应用题(本题10分,将解答的过程、步骤和答案填写在答题纸的相应位置上,写在其它位置上无效).
20.某工厂需要围建一个面积为64平方米的长方形堆料场,一边可利用原来的墙壁,而现有的存砖只够砌24米长的墙壁,问这些存砖是否足够围建此堆料场?
【魔鬼班押题卷三原题型】
普通高校专科接本科教育选拔考试
高等数学(一)答案
一、单项选择题(0 本大题共10 小题,每小题3 分,共30 分.在每小题给出的四个备选项中,选出一个正确的答案,请将选定的答案填涂在答题纸的相应位置上.) 1-5: ADDCB
6-10: CACDA 二、填空题(本大题共5 小题,每小题4 分,共20 分。
请在答题纸相应题号的位置上作答).
11. 1 12. 13 (1,1)
15. 312x x y c e c e =+323R π三、计算题(本大题共4 小题,每小题10 分,共40 分。
请在答题纸相应题号的位置上作答).
16.解: , '2'12cos z xf y f x
∂=+∂2'''3''122222cos 22z xy xf yf xy f x y ∂=++∂∂17.解:令,则
1,1t x x t =-=+ 2
11012011
102(1)()()ln(1)1x f x dx f t dt f x dx dx x dx x ----===+++⎰⎰⎰⎰⎰ 011220101(1)ln(1)ln 2111x d x x x dx x x
-=++++=-++⎰⎰18解: sin ,sin 2P Q y y x y x
∂∂==+∂∂所以原式
sin 00(sin 2sin )22x D y x y dxdy dx xdy ππ=+-==⎰⎰⎰⎰19.解;, 当时12112121122413001113624500003B a a --⎛⎫⎛⎫ ⎪ ⎪=-→- ⎪ ⎪ ⎪ ⎪--⎝⎭⎝⎭
3a = 又无穷多解。
()()34R A R B ==<
增广矩阵可化为 ,通解方程组为 121120011100000B -⎛⎫ ⎪→- ⎪ ⎪⎝⎭
124342211x x x x x ++=⎧⎨+=-⎩取为自由未知量,分别令 可得基础解系为
24,x x 24241,0,0,1x x x x ==== ,令得特解为122201,1010ξξ--⎛⎫⎛⎫ ⎪ ⎪ ⎪ ⎪== ⎪ ⎪- ⎪ ⎪⎝⎭⎝⎭240,0,x x ==10,10η-⎛⎫ ⎪ ⎪= ⎪- ⎪⎝⎭
所以通解为:121212
34221010,(,)101100x x k k k k R x x ---⎛⎫⎛⎫⎛⎫⎛⎫ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪=++∈ ⎪ ⎪ ⎪ ⎪-- ⎪ ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭
四、应用题(本题10 分,将解答的过程、步骤和答案填写在答题纸的相应位置上,写在其它位置上无效).
20.解:设长、宽各为 则 ,面积
,,x y 224x y += 211(12)1222
S xy x x x x ==-=-+ 令 得驻点 ,又 所以函数在, '12,S x =-+'0S =12x =''10S =-<12,6x y ==取得最大值,最大值为 72S =。