(完整版)2018年河北省专接本数一试题及答案(word板),推荐文档
(完整版)河北省专接本高数真题合集
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。
2018年河北省对口高考数学真题+考点分析+详细答案解析
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必要的文字说明、注明过程和演算步骤）
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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）
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）
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36.（7 分）在 ABC 中, ACB 90, AC BC 1,VC 平面 ABC ,VC 1 , 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.
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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
河北省2018年高考文科数学试题及答案汇总(word解析版)
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年河北省对口高考数学真题+考点分析+详细答案解析
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。
2018年河北省专接本数一试题及答案(word板)
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。
2018年数一真题解析与答案
（A）0.2
（B）0.3
（C）0.4
（D）0.6
【答案】：（A）
【分析】因为 f (1 x) f (1 x) ，所以说明 f (x) 以 x 1 为对称轴，因此 P{X 1} 1 ， 2
又因为 2 f (x)dx 0.6 ，故由对称性可知 P{0 X 1} 0.3 ， 0
（D）
0 0
1 0
0 1
【答案】：（A）
1 1 0
【分析】对于
0
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1
，
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A)3
0
0 0 1
对于（A）： (E A)3 0 ；对于（B）： (E A)2 0
对于（C）： (E A)2 0 ；对于（D）： (E A)2 0
（若两矩阵相似，要求它们的最小多项式相同） 因此选择（A）
6、设 A, B 为 n 阶矩阵，记 r( X ) 为矩阵 X 的秩， ( X Y ) 表示分块矩阵，则（ ）
（A） r( A AB) r( A)
（B） r( A BA) r( A)
（C） r( A B) max{r( A), r(B)} （D） r( A B) r( AT BT )
123分析与解答本题第一问的本质考察的是线性方程组的解的问题第二问求标准形之后再求规范形?x?x?x0?1231由fxxx0可得?x?x012323?x?ax0?13?1?11??102?????则011?011?????10a??00a?2?????x0????1????当a?2时fxxx0的解为x0123?2???????x03????x?2k????1????当时fxxx0的解为为任意常数a2x?kk123?2????x??k?3????2222当a?2时fxxx的标准形为z?z?z123123222当a2时fxxxx?x?x?x?x?x?2x12312323132222x?2x?6x?2xx?6xx123121312122x?x?6x?x2131229?1z2x?x?1221??122令?z6x?x则化原二次型为规范形z?z23112?2?1zx?321?21本题满分11分?12a??1a2?????a已知是常数且矩阵a?130?可经初等列变换化为矩阵b?011?
河北省2018年高考文科数学试题及答案(Word版)
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)
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!。
2018年河北省高考数学试卷(文科)(全国新课标Ⅰ)(答案解析版)
2018年河北省高考数学试卷（文科）（全国新课标Ⅰ）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．（5分）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．（5分）设z＝+2i，则|z|＝（）A．0B．C．1D．3．（5分）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．（5分）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．（5分）已知圆柱的上、下底面的中心分别为O1，O2，过直线O1O2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．（5分）设函数f（x）＝x3+（a﹣1）x2+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＝﹣2x B．y＝﹣x C．y＝2x D．y＝x7．（5分）在△ABC中，AD为BC边上的中线，E为AD的中点，则＝（）A．﹣B．﹣C．+D．+8．（5分）已知函数f（x）＝2cos2x﹣sin2x+2，则（）A．f（x）的最小正周期为π，最大值为3B．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．f（x）的最小正周期为2π，最大值为49．（5分）某圆柱的高为2，底面周长为16，其三视图如图．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．2B．2C．3D．210．（5分）在长方体ABCD﹣A1B1C1D1中，AB＝BC＝2，AC1与平面BB1C1C所成的角为30°，则该长方体的体积为（）A．8B．6C．8D．811．（5分）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A（1，a），B（2，b），且cos2α＝，则|a﹣b|＝（）A．B．C．D．112．（5分）设函数f（x）＝，则满足f（x+1）＜f（2x）的x的取值范围是（）A．（﹣∞，﹣1]B．（0，+∞）C．（﹣1，0）D．（﹣∞，0）二、填空题：本题共4小题，每小题5分，共20分。
【配套K12】[学习]2018年普通高等学校招生全国统一考试数学试题 理(全国卷1,解析版)
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2018年普通高等学校招生全国统一考试数学试题理（全国卷1）注意事项：1．答卷前，考生务必将自己的姓名、考生号等填写在答题卡和试卷指定位置上。
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. 设，则A. B. C. D.【答案】C【解析】分析：首先根据复数的运算法则，将其化简得到，根据复数模的公式，得到，从而选出正确结果.详解：因为，所以，故选C.点睛：该题考查的是有关复数的运算以及复数模的概念及求解公式，利用复数的除法及加法运算法则求得结果，属于简单题目.2. 已知集合，则A. B.C. D.【答案】B【解析】分析：首先利用一元二次不等式的解法，求出的解集，从而求得集合A，之后根据集合补集中元素的特征，求得结果.详解：解不等式得，所以，所以可以求得，故选B.点睛：该题考查的是有关一元二次不等式的解法以及集合的补集的求解问题，在解题的过程中，需要明确一元二次不等式的解集的形式以及补集中元素的特征，从而求得结果.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【答案】A【解析】分析：首先设出新农村建设前的经济收入为M，根据题意，得到新农村建设后的经济收入为2M，之后从图中各项收入所占的比例，得到其对应的收入是多少，从而可以比较其大小，并且得到其相应的关系，从而得出正确的选项.详解：设新农村建设前的收入为M，而新农村建设后的收入为2M，则新农村建设前种植收入为0.6M，而新农村建设后的种植收入为0.74M，所以种植收入增加了，所以A项不正确；新农村建设前其他收入我0.04M，新农村建设后其他收入为0.1M，故增加了一倍以上，所以B项正确；新农村建设前，养殖收入为0.3M，新农村建设后为0.6M，所以增加了一倍，所以C项正确；新农村建设后，养殖收入与第三产业收入的综合占经济收入的，所以超过了经济收入的一半，所以D正确；故选A.点睛：该题考查的是有关新农村建设前后的经济收入的构成比例的饼形图，要会从图中读出相应的信息即可得结果.4. 设为等差数列的前项和，若，，则A. B. C. D.【答案】B详解：设该等差数列的公差为，根据题中的条件可得，整理解得，所以，故选B.点睛：该题考查的是有关等差数列的求和公式和通项公式的应用，在解题的过程中，需要利用题中的条件，结合等差数列的求和公式，得到公差的值，之后利用等差数列的通项公式得到与的关系，从而求得结果.5. 设函数，若为奇函数，则曲线在点处的切线方程为A. B. C. D.【答案】D【解析】分析：利用奇函数偶此项系数为零求得，进而得到的解析式，再对求导得出切线的斜率，进而求得切线方程.详解：因为函数是奇函数，所以，解得，所以，，所以，所以曲线在点处的切线方程为，化简可得，故选D.点睛：该题考查的是有关曲线在某个点处的切线方程的问题，在求解的过程中，首先需要确定函数解析式，此时利用到结论多项式函数中，奇函数不存在偶次项，偶函数不存在奇次项，从而求得相应的参数值，之后利用求导公式求得，借助于导数的几何意义，结合直线方程的点斜式求得结果.6. 在△中，为边上的中线，为的中点，则A. B.C. D.【答案】A【解析】分析：首先将图画出来，接着应用三角形中线向量的特征，求得，之后应用向量的加法运算法则-------三角形法则，得到，之后将其合并，得到，下一步应用相反向量，求得，从而求得结果.详解：根据向量的运算法则，可得，所以，故选A.点睛：该题考查的是有关平面向量基本定理的有关问题，涉及到的知识点有三角形的中线向量、向量加法的三角形法则、共线向量的表示以及相反向量的问题，在解题的过程中，需要认真对待每一步运算.7. 某圆柱的高为2，底面周长为16，其三视图如右图．圆柱表面上的点在正视图上的对应点为，圆柱表面上的点在左视图上的对应点为，则在此圆柱侧面上，从到的路径中，最短路径的长度为A. B.C. D. 2【答案】B【解析】分析：首先根据题中所给的三视图，得到点M和点N在圆柱上所处的位置，点M在上底面上，点N 在下底面上，并且将圆柱的侧面展开图平铺，点M、N在其四分之一的矩形的对角线的端点处，根据平面上两点间直线段最短，利用勾股定理，求得结果.详解：根据圆柱的三视图以及其本身的特征，可以确定点M和点N分别在以圆柱的高为长方形的宽，圆柱底面圆周长的四分之一为长的长方形的对角线的端点处，所以所求的最短路径的长度为，故选B.点睛：该题考查的是有关几何体的表面上两点之间的最短距离的求解问题，在解题的过程中，需要明确两个点在几何体上所处的位置，再利用平面上两点间直线段最短，所以处理方法就是将面切开平铺，利用平面图形的相关特征求得结果.8. 设抛物线C：y2=4x的焦点为F，过点（–2，0）且斜率为的直线与C交于M，N两点，则=A. 5B. 6C. 7D. 8【答案】D【解析】分析：首先根据题中的条件，利用点斜式写出直线的方程，涉及到直线与抛物线相交，联立方程组，消元化简，求得两点，再利用所给的抛物线的方程，写出其焦点坐标，之后应用向量坐标公式，求得，最后应用向量数量积坐标公式求得结果.详解：根据题意，过点（–2，0）且斜率为的直线方程为，与抛物线方程联立，消元整理得：，解得，又，所以，从而可以求得，故选D.点睛：该题考查的是有关直线与抛物线相交求有关交点坐标所满足的条件的问题，在求解的过程中，首先需要根据题意确定直线的方程，之后需要联立方程组，消元化简求解，从而确定出，之后借助于抛物线的方程求得，最后一步应用向量坐标公式求得向量的坐标，之后应用向量数量积坐标公式求得结果，也可以不求点M、N的坐标，应用韦达定理得到结果.9. 已知函数．若g（x）存在2个零点，则a的取值范围是A. [–1，0）B. [0，+∞）C. [–1，+∞）D. [1，+∞）【答案】C【解析】分析：首先根据g（x）存在2个零点，得到方程有两个解，将其转化为有两个解，即直线与曲线有两个交点，根据题中所给的函数解析式，画出函数的图像（将去掉），再画出直线，并将其上下移动，从图中可以发现，当时，满足与曲线有两个交点，从而求得结果.详解：画出函数的图像，在y轴右侧的去掉，再画出直线，之后上下移动，可以发现当直线过点A时，直线与函数图像有两个交点，并且向下可以无限移动，都可以保证直线与函数的图像有两个交点，即方程有两个解，也就是函数有两个零点，此时满足，即，故选C.点睛：该题考查的是有关已知函数零点个数求有关参数的取值范围问题，在求解的过程中，解题的思路是将函数零点个数问题转化为方程解的个数问题，将式子移项变形，转化为两条曲线交点的问题，画出函数的图像以及相应的直线，在直线移动的过程中，利用数形结合思想，求得相应的结果.10. 下图来自古希腊数学家希波克拉底所研究的几何图形．此图由三个半圆构成，三个半圆的直径分别为直角三角形ABC的斜边BC，直角边AB，AC．△ABC的三边所围成的区域记为I，黑色部分记为II，其余部分记为III．在整个图形中随机取一点，此点取自I，II，III的概率分别记为p1，p2，p3，则A. p1=p2B. p1=p3C. p2=p3D. p1=p2+p3【答案】A详解：设，则有，从而可以求得的面积为，黑色部分的面积为，其余部分的面积为，所以有，根据面积型几何概型的概率公式，可以得到，故选A.点睛：该题考查的是面积型几何概型的有关问题，题中需要解决的是概率的大小，根据面积型几何概型的概率公式，将比较概率的大小问题转化为比较区域的面积的大小，利用相关图形的面积公式求得结果.11. 已知双曲线C：，O为坐标原点，F为C的右焦点，过F的直线与C的两条渐近线的交点分别为M、N.若OMN为直角三角形，则|MN|=A. B. 3 C. D. 4【答案】B【解析】分析：首先根据双曲线的方程求得其渐近线的斜率，并求得其右焦点的坐标，从而得到，根据直角三角形的条件，可以确定直线的倾斜角为或，根据相关图形的对称性，得知两种情况求得的结果是相等的，从而设其倾斜角为，利用点斜式写出直线的方程，之后分别与两条渐近线方程联立，求得，利用两点间距离同时求得的值.详解：根据题意，可知其渐近线的斜率为，且右焦点为，从而得到，所以直线的倾斜角为或，根据双曲线的对称性，设其倾斜角为，可以得出直线的方程为，分别与两条渐近线和联立，求得，所以，故选B.点睛：该题考查的是有关线段长度的问题，在解题的过程中，需要先确定哪两个点之间的距离，再分析点是怎么来的，从而得到是直线的交点，这样需要先求直线的方程，利用双曲线的方程，可以确定其渐近线方程，利用直角三角形的条件得到直线的斜率，结合过右焦点的条件，利用点斜式方程写出直线的方程，之后联立求得对应点的坐标，之后应用两点间距离公式求得结果.12. 已知正方体的棱长为1，每条棱所在直线与平面α所成的角相等，则α截此正方体所得截面面积的最大值为A. B. C. D.【答案】A【解析】分析：首先利用正方体的棱是3组每组有互相平行的4条棱，所以与12条棱所成角相等，只需与从同一个顶点出发的三条棱所成角相等即可，从而判断出面的位置，截正方体所得的截面为一个正六边形，且边长是面的对角线的一半，应用面积公式求得结果.详解：根据相互平行的直线与平面所成的角是相等的，所以在正方体中，平面与线所成的角是相等的，所以平面与正方体的每条棱所在的直线所成角都是相等的，同理平面也满足与正方体的每条棱所在的直线所成角都是相等，要求截面面积最大，则截面的位置为夹在两个面与中间的，且过棱的中点的正六边形，且边长为，所以其面积为，故选A.点睛：该题考查的是有关平面被正方体所截得的截面多边形的面积问题，首要任务是需要先确定截面的位置，之后需要从题的条件中找寻相关的字眼，从而得到其为过六条棱的中点的正六边形，利用六边形的面积的求法，应用相关的公式求得结果.二、填空题：本题共4小题，每小题5分，共20分。
2018年河北省专接本英语考试真题
2018年河北省专接本英语考试真题2018 Hebei Province College English Test for Specialty TransferPart I Reading comprehension (30 points)Directions: There are three passages in this part. Each passage is followed by some questions or unfinished statements. For each of them there are four choices marked A, B, C and D. You should decide on the best choice and mark the corresponding letter on the Answer Sheet.Passage 1Questions 1 to 5 are based on the following passage:We like to think that today's technological wonders are entirely our own creation. But a new study suggests that the human brain has been building networks of personal computers for over 50,000 years." Long before we had computers, long before we had a written language, we were using technology to store information outside our bodies, " says Chet Sherwood, a physical anthropologist at George Washington University.Sherwood made an analysis of the brain of a Neanderthal, an extinct species of them last shared a common ancestor with man some 300,000 to 400,000 years ago. We often associate the Neanderthals with a lack of mental power and language, but Sherwood's findings suggest that they were ahead of their time." You can't really use the Neanderthals as a punch line anymore," Sherwood says, "There is clear evidence that they were at least attempting literacy in some manner.In the view of course, they were technology geeks of their day. They built tools, mastered fire, and organized their out-of-body information network using tree bark and bone."Sherwood's team put a cast of the brain cavity of a150,000-year-old Neanderthal alongside one of a modern human. It found that Neanderthals had larger brains than humans. Sherwood believes their brain was built not only for complex thoughts, but was also structured to accommodate the laborious steps of literacy.Converting oral information into something written is a technology almost as complex as building a computer network.Neanderthals, it seems, were walking around with a lot more technology than we ever got them credit for - especially giventhat their tools were, in evolutionary time satellite, less than a blink of the eye away from today's computers.1. What does the passage mainly discuss?A. Information technology.B. The history of literacy.C. The brain of a Neanderthal.D. The technology of the Neanderthals.2. The word "punch" (Line 9) could best be replaced byA. jab.B. exclamation.C. applause.D. humor.3. What does Sherwood suggest in the passage?A. Computers are a natural evolution of writing.B. Computing power is a recent human novelty.C. The Neanderthals likely had a written language.D. Neanderthals possessed modern-like computers.4. What does the passage say about the Neanderthals' brain size?A. It was smaller than that of early humans.B. It was unsuitable for literacy.C. It was not as large as that of modern humans.D. It was larger than that of modern humans.5. According to the passage, what can be said about Neanderthals?A. They were relatively unintelligent.B. They used tools.C. They were not technology geeks.D. They used oral information networks.根据以上文章完成以下问题1. 整个文章主要讨论什么？2.第9 行的“punch”一词最好用什么词来代替？3. 文章中谢尔伍德暗示了什么？4. 文章谈到了尼安德特人的大脑尺寸吗？5. 根据文章，关于尼安德特人，哪个说法是正确的？Passage 2Questions 6 to 10 are based on the following passage:You cannot see the beauty of Beijing in winter by taking only daytime tours. Beijing at night is simply stunning. A night stroll along the streets or a night view from a high hill offers visitors quite a different impression. Beijing night exists in two opposite forms: ancient and modern. If you walk through the narrow alleys of a fading old street in the Shichahai area or the Forbidden City at nightfall, you could easily get lost and feel like you have traveled back in time to Yuan, Ming or Qing Dynasties of China. Modern pavilions with colorfully painted windows provide quite a contrast to the surrounding dark grey bricks. The detour to the narrow Longfusi embedded in the hutongs (alley ways) in Dongcheng District can also help you get a better understanding of the history of old Beijing. Night scenes of the forbidden City, especially of light reflections in the shichahai Lakes and Beihai Park, are extremely charming. Pay special attention to the reflections of the old Chinese wooden architecture during your walks.Those who love excitement will feel the charm in the modern form of night life in Beijing. The impressive nightscape of Beijing is worth spending an evening to enjoy. The modern night life usually happens in the inner city areas where modern bars, discos, and amusement parks abound. When you walk around the central business district Wangfujing and Guomao, you will bedazzled by neon lights, glamours shops and abundant luxurious cars driving through – Beijing at night is Beijing at its most modern. The bird's eye view of night Beijing from the central television tower or the international Club will impress you so much that it seems to be too beautiful to be true.6. What is the main idea of the passage?A. The best time to visit Beijing.B. Traditional Chinese architecture.C. Beijing's night-time charm.D. Beijing's modern nightlife.7. The word "abound" (Line 14) is closest in meaning toA. disappear.B. lack.C. rest.D. be plentiful.8. Which of the following would NOT be a place to experience modern night life in Beijing?A. The international Club.B. Wangfujing.C. The Forbidden City.D. Guomao.9. According to the passage, what contrast is there in Beijing's night scene?A. Neatness versus disorder.B. Modernity versus tradition.C. Light versus darkness.D. Large versus small buildings.10. What is it about the old wooden architecture that the author wants tourists to pay attention to?A. Its age.B. Its paint.C. Its reflections.D. Its color.。
2018年河北省专接本英语考试真题及答案
2018年河北省专接本英语考试真题及答案全文共3篇示例，供读者参考篇12018 Hebei Province Specialized Undergraduate English Exam Questions and AnswersPart I Listening Comprehension (30 points)Section A (5 points)1. A) At the bank.B) At the travel agency.C) At the post office.2. A) Blue.B) Green.C) Black.3. A) At 3:15.B) At 3:30.C) At 3:45.4. A) $15.B) $30.C) $45.5. A) The man is often late for work.B) The woman will have a meeting at 10:15.C) The man will accompany the woman to the meeting.Section B (10 points)6. What caused the fire?7. How many people were injured in the fire?8. Where did the fire start?9. What was the relationship between the two people involved?10. What will the man do next?Section C (10 points)11. A) By bus.B) By subway.C) By taxi.12. A) Going to a job interview.B) Going to the movies.C) Going to a friend’s birthday party.13. A) He doesn’t know where it is.B) It is a bit far from his place.C) He doesn’t have to go there.14. A) The woman's.B) The man's.C) They were both at the mall.15. A) Attend a meeting.B) Go to a friend’s birthday party.C) Study for the exam.Section D (5 points)16. What do we learn about Sarah from the conversation?17. What is Rachel’s problem?18. What does the woman think of the movie?19. Why does the man recommend the French restaurant?20. Where did the man invite the woman to go after dinner?Part II Reading Comprehension (40 points)Section A (20 points)Passage 121. B) Growing pains are temporary.22. D) They are often anxious about progress.23. A) Growing pains can result in greater accomplishments.24. B) New tasks often lead to struggle.25. C) More famous people have them than we realize. Passage 226. B) Her friends have criticized her.27. A) Problems in one area of her life affect another.28. D) Discuss marital issues with them.29. C) She is dissatisfied with her life.30. A) Her husband’s dismissal.Passage 331. C) A natural tendency to feel hopeful.32. D) A skill that can be developed with effort.33. B) A decision to be optimistic.34. A) They are unhealthy.35. C) Feelings of hope can be strengthened. Section B (10 points)36. D) Bangladesh.37. B) An outpost of the British Empire.38. A) He was loyal to the British.39. C) His re-interpretation of events.40. A) Emphasizing areas of disagreement. Section C (10 points)41. B) To show off his family heirloom.42. C) Requesting a favor from the jeweler.43. D) An impeccable reputation.44. A) Putting up a sign.45. D) The watch needed expert attention. Part III Vocabulary and Structure (30 points) 46. C) is to begin47. D) that she felt48. C) Don’t you like49. B) have been studying50. A) so that51. C) did she get52. D) if we leave53. C) which is54. B) gone55. A) as well as56. C) have grown57. B) By the time58. A) regardless of59. D) Each of us60. A) makingPart IV Writing (30 points)61. Directions: Write an English composition in 120–150 words according to the following pictures. You should cover the three aspects in your writing.(1) Explain what the pictures are about.(2) Describe the probable reasons for the situation.(3) Suggest possible solutions to the problem.62. Directions: Write an invitation letter in 120–150 words according to the following situation. You should include the following points in your writing.(1) Invite your friend to a party.(2) Provide details about the party (time, place, and activities).(3) Make suggestions for preparation (bring a gift, dress code, etc.).63. Directions: Write at least 100 words on the topic of “My Favorite Movie”, including the following points.(1) The title of the movie.(2) The genre of the movie (comedy, action, drama, etc.).(3) The main plot of the movie.(4) Your personal opinions and feelings about the movie.Answers:Part I Listening Comprehension1-5: CBCAB6-10: ACCAC11-15: CABAB16-20: BDCADPart II Reading Comprehension21-25: BACBB26-30: BCDAA31-35: CDBCA36-40: DBACA41-45: BCADAPart III Vocabulary and Structure46-50: CADBA51-55: CDCBA56-60: BACACWe hope this document helps you prepare for the upcoming exam. Good luck!篇22018 Hebei Province College English Entrance Examination Questions and AnswersSection 1 Listening ComprehensionPart ADirections: In this part of the test, you will hear 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. A. He can't jog with Nancy.B. He asks for more time to study.C. He prefers having a coffee.D. He doesn't have time to study.Answer: D2. A. Go out for dinner.B. Study and finish the report.C. Wait until dinner is ready.D. Give Sally the book report.Answer: BPart BDirections: In this part of the test, you will hear longer conversations. The conversations will be read twice. After you hear a conversation or a passage, read the five questions on your paper, and decide which one is the best answer to the questions you have heard.3. A. It's unreadable.B. It's very informative.C. The graphs are too crowded.D. It has much useful information.E. The speaker does not say anything about the book.Answer: D4. A. He is at a meeting.B. He is busy writing a report.C. He is on his way to writing his essay.D. He is discussing the playground project with the woman.E. The speaker does not say anything about the man.Answer: ASection 2 Reading ComprehensionPart A: Multiple Choice QuestionsRead the following passages carefully and then answer the questions below.Passage 1People semingly try to keep busy no matter how hard it is to do so, but haven't you noticed how some people can find lots of relaxation by simply taking up a book, a movie or music? What's the difference between this kind of idleness and doing nothing when you have absolutely nothing to do? Both involve a certain degree of leisure. When you have nothing to do, you sit and wait for something to happen, but entertainment is nothing like that. It's a kind of rest that is not rest at all, but a form of activity. Without these distractions(separate your mind from the present activities), life would be unbearable and monotonous, yet thinking and imagination cannot be entertained to the same extent as the basic emotions that stir the heart.5. What would the author say about leisure time activities?A. They are unneeded.B. They're very relaxing.C. They can only be enjoyed by wealthy people.D. They are all equally tiring.Answer: B6. Which of the following is the central idea of the passage?A. Idleness is an important part of life.B. Doing nothing is more tiring than doing something.C. Entertainment is not a form of rest but activity.D. Waiting for something to happen is the same as doing nothing.Answer: CPassage 2Media has a powerful influence on most people's lifestyles. Magazines tell people how to dress, what to eat, and where to travel. Newspapers report on world events and entertain us with sports, films, and TV programs. Video games give impulses tochildren's imaginations to those who create them, and the internet connects people all over the world with each other at the touch of a few buttons.7. What is the passage mainly about?A. Media provides sources of entertainment.B. Newspapers are more important than TV programs.C. Magazines give tips on how to become wealthy.D. The internet has replaced newspapers.Answer: A8. What entertainment is NOT mentioned in the passage?A. MagazinesB. TV programsC. Video gamesD. NewspapersAnswer: DPart B: Cloze TestIt's hard to admit or discuss an alcohol problem. So what are the signs that your drinking has gotten out of control? Well, nomatter what doctors say, there's no fixed quantity which says someone is a problem drinker. But here is a list of signs that a person's drinking might be harmful.9. The passage mainly talks about ___.A. the signs of drug addictionB. how much alcohol people are allowed to drinkC. how to recognize problem drinkingD. the harm caused by alcoholismAnswer: C10. Problem drinking is mainly characterized by _____.A. regular exerciseB. denial ignoring problemC. talking about the problemD. asking for helpAnswer: BSection 3 WritingPart A: TranslationTranslate the following sentences into English.11. 请告诉我怎么去图书馆。
河北专接本数学(线性代数)模拟试卷1(题后含答案及解析)
河北专接本数学（线性代数）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．行列式＝[ ]．A．abcd；B．abcde：C．abcdef：D．0正确答案：D 涉及知识点：线性代数2．设行列式，若D1＝D2，则λ的取值为[ ]．A．0或1；B．0或2；C．－1或1；D．－1或2．正确答案：C 涉及知识点：线性代数3．下列行列式中，不等于零的是[ ]．A．B．C．D．正确答案：D 涉及知识点：线性代数4．设｜A｜是三阶行列式，A＝(α1，α2，α3)，则｜A｜＝[ ]．A．｜α1－α2，α2－α3，α3－α1｜；B．α1＋α2，α2＋α3，α3＋α1｜．C．｜α1＋2α2，α3，α1＋α2｜；D．｜α1，α2＋α3，α1＋α2｜．正确答案：C 涉及知识点：线性代数5．设A为四阶方阵，则行列式｜－3A｜的值为[ ]．A．3｜A｜；B．－34｜A｜；C．－3｜A｜；D．(－3)4｜A｜．正确答案：D 涉及知识点：线性代数6．行列式＝[ ]．A．(a1a4－b1b4)(a2a3－b2b3)；B．(a1a2—b1b2)(a3a4－b3b4)；C．a1a2a3a4－b1b2b3b4；D．a1a2a3a4＋b1b2b3b4正确答案：A 涉及知识点：线性代数7．设殴A为三阶矩阵，Aj是A的第j列(j＝l，2，3)，矩阵B＝(A3，3A2－A3，2A1＋5A2)，若｜A｜＝－2，则｜B｜＝[ ]．A．16：B．12；C．10；D．7正确答案：B 涉及知识点：线性代数8．设四阶方阵A＝(α，γ2，γ3，γ4)，8：(β，γ2，γ3，γ4)，其中α，β，γ2，γ3，γ4均为四维列向量，且｜A｜＝4，｜B｜＝－1，则｜A＋2B｜＝[ ]．A．6：B．18：C．54,D．81正确答案：C 涉及知识点：线性代数9．已知α1，α2，β1，β2，γ都是3维列向量，且行列式｜α1，β1，γ)＝｜α1，β2，γ｜＝｜α2，β2，γ｜＝3，那么｜－2γ，α1＋α2，β1＋2β2＝[ ]．A．18：B．－36；C．64；D．-96正确答案：B 涉及知识点：线性代数10．如果A，B为n阶方阵，且满足条件AB＝O(O为零矩阵)，则下列说法正确的是[ ]．A．A，B均不可逆：B．A＋B＝0；C．｜A｜＝0或｜B｜＝0：D．A＝0或＝0。
(完整word)2018年河北省中考数学试卷(WORD版,含答案),推荐文档
5.图2中三视图对应的几何体是（) 河北省2018年中考数学试卷卷1（选择题，共42分）一、选择题（本大题有16个小题，共42分.1〜10小题各3分，11〜16小题各 2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.下列图形具有稳定性的是（）A. B . C . D2•—个整数815550L 0用科学记数法表示为 8.1555 1010，则原数中“ 0”的个数为（） A. 4B . 6C . 7D . 103.图1中由“O”和“□”组成轴对称图形，该图形的对称轴是直线（ ）A. 11B. I 2C . 13D.I 44.将9.52变形正确的是（）A. 9.522 29 0.52B. 9.5 (10.5)(10 0.5)C. 9.52 2 2102 10 0.5 0.5D.9.529229 0.5 0.5A. BC. D ..作线段的垂直平分线；川.过直6.尺规作图要求：i .过直线外一点作这条直线的垂线；n 线上一点作这条直线的垂线；W .作角的平分线.图3是按上述要求排乱顺序的尺规作图：A. B则正确的配对是（）A.①-叽②-n,③-I,④-川B .①-叽②-川，③-n,④-IC.①-n,②-叽③-川，④-I.①-叽②-1,③-n,④-川7.有三种不同质量的物体，”“ ”其中，同一种物体的质量都相等，现左右手中同样的盘子上都放着不同个数的物体，只有一组左右质量不相等，则该组是（）A. BC. D8.已知：如图4，点P在线段AB夕卜，且PA PB .求证：点P在线段AB的垂直平分线上在证明该结论时，需添加辅助线，则作法不正确的是（）A. 作APB的平分线PC交AB于点CB. 过点P作PC AB于点C且AC BCC. 取AB中点C ,连接PCD. 过点P作PC AB，垂足为C9.为考察甲、乙、丙、丁四种小麦的长势，在同一时期分别从中随机抽取部分麦苗，获得苗高（单位：cm ）的平均数与方差为：x 甲 x 丙 13 , x 乙 x 丁 15 ; s | s 丁 3.6 ,s | s 丙6.3 -则麦苗又高又整齐的是（）A.甲 B .乙 C. 丙 D .丁10. 图5中的手机截屏内容是某同学完成的作业，他做对的题数是（A. 2个 B . 3个 C. 4 个 D . 5个11. 如图6,快B 处，再向右转80继续航行，此时的航行方向为（ ）A.北偏东30 B•北偏东80 C.北偏西30 D .北偏西5012.用一根长为a（单位: cm）的铁丝，首尾相接围成一个正方形等距扩1 （单位: cm）,得到新的正方形，则这根铁丝需增加（要将它按图7的方式向外与I 重合，则图中阴影部分的周长为(16.对于题目“一段抛物线L: y x(x 3)c(0 x 3)与直线l : y x 2有唯一公共点A. 4cm8cm C. (a 4)cm D . (a 8)cm13.若2n2n 2门 2门 2，则 n ()A.-1B.-2C.0D. 114.老师设计了接力游戏， 用合作的方式完成分式化简•规则是: 子，并进行一步计算，再将结果传递给下一人，最后完成化简 接力中，自己负责的一步出现错误的是()每人只能看到前一人给的式.过程如图8所示：A.只有乙B.甲和丁C.乙和丙D.乙和丁15.如图9,点I 为VABC 的内心，AB4，AC 3，BC2，将 ACB 平移使其顶点 A.4.5 B.4 C.3D.2若c为整数，确定所有c的值• ”甲的结果是c 1，乙的结果是c 3或4，则（）A.甲的结果正确B.乙的结果正确C.甲、乙的结果合在一起才正确D.甲、乙的结果合在一起也不正确二、填空题（本大题有3个小题，共12分.17〜18小题各3分；19小题有2个空，每空3分.把答案写在题中横线上）18.若a , b互为相反数，则a2b2 ________ 19.如图10 1，作BPC平分线的反向延长线17.计算:PA ,现要分别以APB , APC , BPC为内角作正多边形，且边长均为1,将作出的三个正多边形填充不同花纹后成为一个图案圈H1-I、. 90例如，若以BPC为内角，可作出一个边长为1的正方形，此时BPC 90，而904521是360 （多边形外角和）的1，这样就恰好可作出两个边长均为1的正八边形，填充花纹8后得到一个符合要求的图案，如图10 2所示.图10 2中的图案外轮廓周长是____________ ;在所有符合要求的图案中选一个外轮廓周长最大的定为会标，则会标的外轮廓周长是___________ .三、解答题（本大题共7小题，共66分.解答应写出文字说明、证明过程或演算步骤.）pi" I| ・ A |20.嘉淇准备完成题目化简：X2 6x 8）（6x 5x2 2）发现系数“”印刷不清（1）他把“ ”猜成3，请你化简：（3x2 6x 8）（6x 5x2 2）；（2 ）他妈妈说：“你猜错了，我看到该题标准答案的结果是常数•”通过计算说明原题中“”是几？21.老师随机抽查了本学期学生读课外书册数的情况，绘制成条形图（图11 1 ）和不完整的扇形图（图11 2 ），其中条形图被墨迹掩盖了一部分•（1 ）求条形图中被掩盖的数，并写出册数的中位数；（2）在所抽查的学生中随机选一人谈读书感想，求选中读书超过5册的学生的概率；（3 ）随后又补查了另外几人，得知最少的读了6册，将其与之前的数据合并后，发现册数的中位数没改变，则最多补查了____________ 人.22.如图12,阶梯图的每个台阶上都标着一个数，从下到上的第1个至第4个台阶上依次标着-5，-2，1，9，且任意相邻四个台阶上数的和都相等•尝试（1）求前4个台阶上数的和是多少？（2）求第5个台阶上的数X是多少？应用求从下到上前31个台阶上数的和.发现试用k（k为正整数）的式子表示出数“ 1 ”所在的台阶数23.如图13， A B 50，P为AB中点，点M为射线AC上（不与点A重合）的任意一点，连接 MP ，并使MP 的延长线交射线 BD 于点N ，设 BPN(1) 求证：△ APM 4 △ BPN ;(2) 当MN 2BN 时，求 的度数；(3) 若厶BPN 的外心在该三角形的内部，直.接写出 的取值范围•124.如图14,直角坐标系xOy 中，一次函数y x 5的图像l 1分别与x , y 轴交于A ,2B 两点，正比例函数的图像12与11交于点C (m,4).(1 )求m 的值及12的解析式;(3)—次函数y kx 1的图像为13，且l 1 , l 2, 13不能围成三角形，直接.写出k 的值.25. 如图15,点A 在数轴上对应的数为 26，以原点0为圆心，0A 为半径作优弧 AB ，使 点B 在0右下方，且tan AOB 4 .在优弧A B 上任取一点P ,且能过P 作直线1//0B 交3（2）求 S A AOC& BOC的值;数轴于点Q，设Q在数轴上对应的数为x，连接0P •（1）若优弧A B上一段A P的长为13 ，求AOP的度数及x的值;（2）求x的最小值，并指出此时直线与A B所在圆的位置关系；（3）若线段PQ的长为12.5，直接写出这时x的值•26.图16是轮滑场地的截面示意图，平台AB距x轴（水平）18米，与y轴交于点B，与k滑道y （x 1）交于点A，且AB 1米.运动员（看成点）在BA方向获得速度v米/秒x后，从A处向右下飞向滑道，点M是下落路线的某位置.忽略空气阻力，实验表明：M , A的竖直距离h （米）与飞出时间（秒）的平方成正比，且t 1时h 5 ；M，A的水平距离是vt米.ffl 16（1 ）求k ,并用表示h ；（2）设v 5 .用表示点M的横坐标x和纵坐标y ,并求y与x的关系式（不写x的取值范围），及y 13时运动员与正下方滑道的竖直距离;（3）若运动员甲、乙同时从A处飞出，速度分别是5米/秒、v乙米/秒.当甲距x轴1.8米,参考答案1-10、ABCCC DABDA 11-16、ABADB D17、2 18、0 19、14 2120、解离：」-J JC'+ —（2）设Y内的数字沟.则愎丄£.2厂 * &r ♦ 11^（^! * 2 斗1 j■ E t en t A-iftr • Si" ■ 2-*$|J" + IIS为妈妈看Sllii題标准结果是帮数.所订一・D,即吓,即凜懸屮3乌为d労析；谱题属于裕规基辎题.准度小.酉蔡代数式的化简21、解析：解111兼形罔可知*读书为新册的常生有E人，山扇形图可知读书为畐册的人占銘那生数的E.刖以总人数孟丄二点〔人人■：養书册数为5册的学生数为冷亠「4"（人人被遮盖的椒尼艮共抽取f 24 g学生的開彦鳍黑’.弟12器学聲和第）3名于生谓責结杲的平均散为中位数...中位数为玉（2）读书超过5册的学生数总其为触42【人）±4“⑴ 5-.r（is ft |J 5S?）=—=—24 12（3）设补直人数为,人.则补査后共育⑴卑学生勢与阖査.••中位数不改变+仍然足乩与丄为奇数时.第"I」名眷生的阴黃箱果沟中恃数*即第：K21.-.；，1' ^14.解得X 外名学生的调脊结果为5・.-.；，1' ^14.解得X 外肖■为偶数时.型斗丄乳片|脚朝（£1产名字生的询代结聲的平均St为中紀86叩第斗上幣学生和弟（斗匕—I）窑爭生的调8HJ果那A =」！；解得讥“■I-.摄若补內3人介析1此SfflfS汁St平的X阪前两鬧恭度不大.只委计席不出锚.审JS没何進・联本不曲州礦・第〔网禹翌分类讨迎』的flftft・IS务学生町谨也不f*l.22、解祈:（1> |1〕懸恵得-3 -2・1 +9毗故的4个台怖上的数字的和"12）川題息對-2 *1内你=3.所以時-5.抽第5牛什险上的裁黑址心賊用：由题意刼台阶上的数字每目个一醤环.同为3G E……3・所W7X3 41 -2 -5 =lb,即从F到上前31亍台阶上敌的和ft L5.坝现「T'所在的台阶數为4kT・分枷：iSSM F^ffl基碟遢.雉嗖小.考察』找规律亠23、解併：（1）戶为一g中.点AP ■ EP（Y.AJ PM和期川中亠」士上已±勺I）■A r x tfi*J A V = "F N..\AP\i = Xiii ^I AS.t I<2）由c I）的姑论可ten p v ■PH.'.2PA = l八X J MA = 2 2）y..m a\:.£ 住*£占=50*<i） 4 V < a <（解決捉不：M的外心是三角骸外接岡的圆心是二角形二边中垂线的空氐9二衍阳内也杠网的足.二用疗的外心可U住二葡克的内部+三角阳一•务边上.也诃以在二角形的外萍©外心所在的应置与二角形的用我哲尖84# : 角腦的外心在二角形内部.11角二角旳的外心在斜边中点处.钝角二角勇的外心任二甫形陶外鼻J5/Hr：此題圧一道二角晤的证明逵，主要考化［角形全筹的证胞.利用其性JR 鐵角度、结合■二相形外接圆的知识确定二角形的堆状，进而求出第度.此題带度不大,但杲第MSH学生可能:fi不到考JS三角陪眈,而出惜弓24、<1)把 C (m,4t 代入、设厶的解折成为一山・把f (2H>代入、■肋得：k=2.r 的解析式沟一" 把艾=u 代入—工+哎.得尸5・即B(0・5)5 + 棺沪in UP A cio. &>MM卄-九* = 20*5» L<3) o 过点「时.4 -它与A 平行时"kII③与J 平fw &分析;此斶是一枕函數常規題殂,注意一次函数徒转的持点”(1)山麵意知.r=0A=26, 辰侍.v nnr I ■」1BU ■\ZAOP=9O flV1JII ZAOB=* 3.'.E dll^l 1W-T(2J 1 9AOJ 切吋.OPXL 1农08・ OP=26,NAO 吐 NiKj 卩“.■-ianZAOB=tan^W=^26、25、辅折T辭：(1) ■点A (1,18)•代入严£ 得14 土JC I Ak-18t设A .M宀4ff t=l, h=5代入”得日巧■ t d ■1(2)当V=5 ej.乩R的水平距离.U =肛的播坐标J」■弘+ iliij M 的紺坐标；r5 itt - * = is - 5/s4 = Sr +!雙廊得，=A丄-n .代入y中得T肖¥=13时.丨屮十IB T解湍5百6或掘=-』（Vx>h故舍去），耙A S代入尸丄・得卩=11 ±*来儿逗刻她与滑道的竖L蹲离为’ 144H）米.C3）浪题熱Wi 8三油-屮.解得t = LB （负值5? I ）：・；L Sr t-I H S S> h 5>厂召米/枚分析£函数抛物线蛮际问题和止比例的结存*首先要诸楚解析式与点坐标的£ 索.比欢把反际问观理解利愉。
2018年河北省对口高考数学真题+考点分析+详细答案解析
河北省对口招生考试2018年数学试题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 = （）.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 =-= ,a b a b +=-,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 cos2x 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 =与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 -=++++ ，则122018a a a +++= （）.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21139xx +⎛⎫> ⎪⎝⎭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 与CA的夹角为.23.若2sin cos 2αα-=,则sin 2α=.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 cm =,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 = ,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.ACDVB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 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。
2018年河北省专接本英语考试真题
2018年河北省专接本英语考试真题全文共10篇示例，供读者参考篇1Hey guys! Today I wanna tell you about the 2018 Hebei Province College Entrance Examination for Adult Education English Exam. It was super tough, but I managed to pass it with flying colors!The exam had three parts: listening, reading and writing. The listening part was so tricky because they played recordings and we had to answer questions about them. I had to really focus and concentrate to make sure I got everything right.The reading part was all about reading passages and answering questions about them. Some of the passages were super long, so I had to read quickly and carefully to understand them. But I did my best and managed to answer all the questions.The writing part was the most challenging for me. I had to write an essay on a given topic and make sure my grammar and spelling were perfect. I practiced writing essays every day leadingup to the exam, so I felt pretty confident when it came time to write.Overall, the exam was tough but I'm so happy I passed it. It was a lot of hard work and studying, but it was worth it in the end. I can't wait to see what other challenges I'll tackle next!篇2Oh my gosh, have you heard about the 2018 Hebei Province Specialized Undergraduate English Exam? It was super tough but also super fun at the same time! Let me tell you all about it.First of all, there were so many different questions in the exam. We had to read passages and then answer questions about them. I was a bit nervous at first, but then I just pretended I was writing a story and it made it much easier.There were also vocabulary questions where we had to match words with their meanings. I studied really hard for those so I think I did pretty well. And then there were grammar questions too, like picking the right verb tense or putting words in the right order. It was kind of like a puzzle, which I love!One part of the exam that was really fun was the listening section. We had to listen to people talking and then answerquestions about what they said. It was like a super cool game of "Simon Says" but in English!I also had to write a short essay about my favorite hobby. I chose to write about playing soccer because it's my absolute favorite thing to do. I talked about how it makes me happy and how I love being part of a team. I even threw in a few jokes to make the examiners laugh!Overall, the exam was tough but I had so much fun doing it. It really tested my English skills and I can't wait to see how I did. I hope I get a good score so I can go to a great college and become a super smart grown-up someday!So yeah, that's my experience with the 2018 Hebei Province Specialized Undergraduate English Exam. It was challenging but totally worth it. I can't wait to see what adventures await me next!篇3Hi! Today I'm gonna tell you about the English exam questions from the 2018 Hebei Province Specialized Undergraduate English Exam.The first question was about a passage where you had to fill in the blanks with the correct words. It was kinda tricky because you had to pay attention to the context to choose the right word. Some of the words were similar, so you had to be really careful!The second question was a reading comprehension about a girl named Sarah who went on a camping trip with her family. You had to answer questions about the things she did during the trip and how she felt about it. It was a fun story to read and the questions were not too hard if you paid attention to the details.The third question was a grammar exercise where you had to choose the correct form of the verb in each sentence. This one was a bit challenging because you had to remember all the different tenses and how to use them correctly. But if you studied hard, you could do it!Overall, the exam was a good test of your English skills and it was a great way to see how much you've learned. So keep practicing and you'll do great in the next exam! Good luck!篇4Hey guys! Today, I want to share with you the English exam questions from the 2018 Hebei Province Specialized EnglishExam. It was super challenging, but I did my best and managed to answer all the questions. Let me tell you all about it!The exam started with a reading comprehension section, where we had to read a passage and answer questions about it. The passage was about the importance of protecting the environment, and the questions tested our understanding of the main idea and details.Next, we had a vocabulary section where we had to match words with their definitions. This part was a bit tricky, but I remembered to use context clues to help me figure out the meanings of the words.After that, we had a grammar section where we had to choose the correct verb tense or form to complete each sentence. This part was a bit challenging, but I remembered to pay attention to the clues in the sentence to help me decide which form to use.Finally, we had a writing section where we had to write a short essay on a given topic. I wrote about the importance of learning a second language and how it can open up new opportunities for us. I made sure to use good grammar and vocabulary to make my essay stand out.Overall, the exam was tough, but I feel proud of myself for giving it my best shot. I can't wait to see my results and I hope I did well. And remember, guys, no matter how hard the exam is, just do your best and believe in yourself. You can do it!篇5Okay, no problem! Here is an essay in a child-like, conversational style:Title: My Experience with the 2018 Hebei Province Adult College Entrance Examination English TestSo, this one time, I had to take this big test called the Hebei Province Adult College Entrance Examination English Test. It was like, super important and I was kind of nervous at first, but then I remembered that I knew how to speak English pretty well, so I was like, "I got this!"The test had a bunch of different parts, like reading, writing, listening, and speaking. I started off with the reading part, which was all about reading this passage and answering questions about it. It was kind of like doing a reading comprehension exercise in school, so I was like, "I can do this!"Then, there was the writing part, where I had to write an essay about a given topic. The topic was something like, "What is the importance of learning a second language?" I thought about it for a minute and then started writing. I talked about how learning a second language can help you communicate with people from different countries and make new friends. I even mentioned how it can help you get better job opportunities in the future. I thought my essay was pretty good, so I was feeling pretty confident.Next up was the listening part, which was a little bit tricky because they played recordings of people speaking in English and I had to answer questions about what they were saying. Some of the recordings were kind of fast, so I had to really pay attention. But I think I did okay because I had practiced listening to English before.Finally, there was the speaking part, where I had to have a conversation with the examiner. They asked me questions about my hobbies, my family, and my future plans. I tried to answer as best as I could and even asked the examiner some questions too. It was kind of nerve-wracking, but I think I did okay.Overall, I think I did pretty well on the test. I tried my best and that's all that matters, right? I'm just glad it's over and I canrelax now. I hope I did well enough to get into the college I want. Fingers crossed!And that's the story of my experience with the 2018 Hebei Province Adult College Entrance Examination English Test. It was a little scary, but I think I rocked it! Thank you for reading my essay! Bye-bye!篇6Hello everyone! Today I want to share with you the English exam questions from the 2018 Hebei Province Specialized Undergraduate English exam. It was super fun and challenging, but I tried my best and was able to answer all the questions. Let me tell you about it!The first section of the exam was listening comprehension. We had to listen to a recording and answer questions about it. The topics were about everyday life, like going shopping or visiting a friend. I had to really concentrate to understand everything, but I think I did pretty well.Next, we had the reading comprehension section. There were several passages to read, and then we had to answer questions about them. Some questions were about finding specific information, while others were more aboutunderstanding the main idea. I had to read carefully to make sure I got everything right.After that, we had the writing section. We had to write a short essay on a given topic. The topic was about the importance of friendship, so I wrote about how having friends is awesome because they are always there for you and make life more fun. I also talked about how we should be good friends to others too.Finally, we had the grammar and vocabulary section. There were questions about verb tenses, prepositions, and other tricky grammar rules. We also had to fill in the blanks with the correct vocabulary words. It was a bit challenging, but I think I did pretty well.Overall, the exam was a bit tough, but I had a lot of fun doing it. I think I did my best and hopefully, I will get a good grade. English is such a cool language, and I love learning new things about it. I can't wait to see how I did on the exam!That's all for now. Thank you for listening to my story about the 2018 Hebei Province Specialized Undergraduate English exam. I hope you enjoyed it! See you next time!篇7Hey guys, today I want to share with you the 2018 Hebei Province English exam for adult education. It was a real tough one, but I managed to pass it with flying colors!The exam had a lot of different sections, like reading comprehension, listening, vocabulary, grammar, and writing. The reading comprehension part was especially tricky, with long passages and questions about them. I had to really focus and read carefully to make sure I understood everything.The listening section was also a challenge, with different accents and speeds of speech. I had to really concentrate and listen closely to catch all the important information. But with a bit of practice, I was able to improve my listening skills and do better on the test.One of the hardest parts for me was the vocabulary section. There were so many words to memorize and understand, but I made flashcards and studied every day to make sure I knew them all. It paid off in the end, because I was able to answer all the questions correctly.The grammar section was tough too, with lots of tricky rules and exceptions to remember. But I did my best to practice and review, and I felt confident when it came time to take the test. I even got a perfect score on that section!Finally, the writing part was my favorite. I got to show off my creativity and use all the English skills I had learned. I wrote a story about a magical adventure, and I was really proud of how it turned out.Overall, the 2018 Hebei Province English exam was a tough challenge, but I was able to overcome it with hard work and perseverance. I hope my experience can inspire you to keep pushing yourself and never give up on your English studies. Good luck on your own exams!篇8Hey guys, have you ever heard of the Hebei Province Adult College Entrance Examination for English in 2018? It was like super duper hard, but also super duper important!In the reading part, we had to read these super long passages and answer questions about them. There were passages about history, science, literature, and even some cool stories. We had to really pay attention to the details to get the answers right. It was like a big puzzle that we had to solve with our brains!Then there was the listening part, where we had to listen to people talking and answer questions about what they said. It waskind of tricky because sometimes they talked really fast and we had to listen carefully. But if we focused, we could get the right answers.The writing part was my favorite because we got to write our own stories or essays. We could be as creative as we wanted and write about anything we liked. It was like getting to be a little author for a little while!Overall, the test was tough but I think I did my best. I studied really hard and tried my best on every question. I hope I did well and can get into a good college in the future. Fingers crossed!So that's my experience with the Hebei Province Adult College Entrance Examination for English in 2018. It was a challenging but fun test, and I'm proud of myself for giving it my all. Can't wait to see what the future holds!篇9Hey guys! Today I want to talk about the English exam for college entrance in Hebei province in 2018. It was super hard, but I did my best and tried to answer all the questions. Let me tell you all about it!First, there was a listening section where they played some recordings and we had to answer questions. It was tough because the speakers talked really fast, but I tried to pay attention and write down the important information. Then we had to answer multiple-choice questions based on what we heard.Next, there was a reading section where we had to read some passages and answer questions about them. The passages were about different topics like history, science, and literature. Some of the questions were easy, but others were tricky and made me really think.After that, there was a writing section where we had to write an essay. The topic was about my favorite book and why I liked it.I wrote about "Harry Potter" because I love magic and adventure.I described the characters, the plot, and how the book made me feel. I hope the examiners liked my essay!Overall, the English exam was challenging but I tried my best.I studied hard and practiced a lot before the test. I hope I did well and can get into a good college. Wish me luck, guys!That's all for now. Thanks for listening and see you next time!篇10Oh my goodness! Today, I want to share with you guys about the 2018 Hebei Province Special Education English Exam! It was so fun (and a bit challenging) so let me tell you all about it!So first of all, the exam had a bunch of different parts. There was listening, reading, and writing. The listening part was pretty cool because we got to hear some people speaking in English and then answer questions about what they said. It was a little tricky because they talked kinda fast, but I think I did okay.Next was the reading part. We had to read a bunch of different passages and then answer questions about them. Some of the stories were really interesting, like one about a girl who found a treasure map and went on a cool adventure. I liked that one a lot!Finally, there was the writing part. We had to write a short essay about our favorite hobby. I wrote about playing soccer because I love running around and kicking the ball with my friends. I think it turned out pretty good, but I hope the grader likes it too!Overall, I had a lot of fun taking the exam. Even though it was a little bit hard at times, I learned a lot and got to practice my English skills. I can't wait to see how I did when the scorescome out! Good luck to everyone who took the exam too! Thanks for listening to my story, bye for now!。
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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 =。