2007年普通高等学校专升本考试试题与答案
2007年河南省专升本真题高数（及答案）
2007年河南省普通高等学校选拔优秀专科生进入本科阶段学习考试《高等数学》试卷题号一二三四五六总分核分人分数一. 单项选择题（每题2分，共计50分）在每小题的备选答案中选出一个正确答案，并将其代码写在题干后面的括号内.不选、错选或多选者，该题无分. 1.集合}5,4,3{的所有子集共有（）A. 5B. 6C. 7D. 8 2.函数x x x f 3)1arcsin()(的定义域为（）A. ]3,0[B. ]2,0[C.]3,2[ D. ]3,1[3. 当0x 时，与x不等价的无穷小量是( )A.x 2B.x sinC.1xeD.)1ln(x 4.当x是函数xx f 1arctan)(的（）A.连续点B. 可去间断点C.跳跃间断点D.第二类间断点5. 设)(x f 在1x处可导，且1)1(f ，则hh f h f h)1()21(lim的值为（）A.-1B. -2C. -3D.-46.若函数)(x f 在区间),(b a 内有0)(,0)(x f x f ，则在区间),(b a 内，)(x f 图形（）A ．单调递减且为凸的B ．单调递增且为凸的C ．单调递减且为凹的D ．单调递增且为凹的7.曲线31x y 的拐点是（）A.)1,0( B. )0,1( C. )0,0( D. )1,1(8.曲线2232)(xxx f 的水平渐近线是（）A. 32yB. 32yC. 31yD. 31y9. 42tan lim xtdt x x （）A. 0B. 21C.2D. 110.若函数)(x f 是)(x g 的原函数，则下列等式正确的是（）A.C x g dx x f )()(B. C x f dx x g )()(C.C x f dxx g )()( D.Cx g dxx f )()( 11.dx x)31cos(（）A.C x)31sin(31B. C x)31sin(31C. C x)31sin( D. Cx)31sin(312. 设x dt tt y)3)(1(，则)0(y （）A.-3B.-1C.1D.3 13. 下列广义积分收敛的是（）A.1x dxB. 1x dxC.1xx dxD.10xx dx 14. 对不定积分dx xx 22cos sin 1，下列计算结果错误是（） A.C xxcot tan B.Cxxtan 1tan C. C x x tan cot D.C x2cot 15. 函数2x y 在区间]3,1[的平均值为（）A.326 B.313 C. 8 D. 416. 过Oz 轴及点)4,2,3(的平面方程为（）A. 023y xB. 02zyC. 032yx D.2z x 17. 双曲线014322y z x 绕z 轴旋转所成的曲面方程为（）A. 143222zy xB.143222z yxC. 143)(22z y x D.14)(322z yx18.xy xy yx 93lim（）A. 61 B.61 C.0 D. 极限不存在19.若yx z，则)1,(e yz （）A.e1 B. 1 C.e D. 0 20. 方程132xzyz 所确定的隐函数为),(y x f z，则x z （）A.xzyz 322B.yxzz 232C. xzyz 32 D.yxzz 2321. 设C 为抛物线2x y上从)0,0(到)1,1(的一段弧，则Cdyx xydx 22（） A.-1 B.0 C.1 D.2 22.下列正项级数收敛的是（）A.2131n n B. 2ln 1n n n C.22)(ln 1n n n D.21n nnn 23.幂级数1)1(31n nn x的收敛区间为（）A.)1,1(B.)3,3(C.)4,2( D.)2,4(24. 微分x eyy y xcos 23特解形式应设为y（）A. x Ce xcos B.)sin cos (21x C xC e xC.)sin cos (21x C xC xe xD.)sin cos (212x C xC e x x25.设函数)(x f y 是微分方程xe yy2的解，且0)(0x f ，则)(x f 在0x 处（）A.取极小值B. 取极大值C.不取极值D.取最大值二、填空题（每题2分，共30分）26.设52)(xx f ，则]1)([x f f _________.27.!2limn nn____________.28.若函数02203)(4xa xx ex f x，，在0x 处连续，则a ____________.29.已知曲线22x x y 上点M 处的切线平行于直线15x y，则点M的坐标为 ________30.设12)(x e x f ，则)0()2007(f _________31.设12132t tyt x ，则1t dxdy __________ 32. 若函数bx axx f 2)(在1x处取得极值2，则a______，b _____得分评卷人33. dxx f x f )()( _________34．1021dx x _________35.向量k ji a 43的模||a ________ 36. 已知平面1：0752zyx与平面2：01334mz y x垂直，则m ______37.设22),(y xxy y x f ，则),(y x f ________38.已知I 2122),(yydx y x f dy ，交换积分次序后，则I_______39.若级数11n nu 收敛，则级数1111n nnu u 的和为 _______40.微分方程02yy y 的通解为________三、判断题（每小题2分，共10分）你认为正确的在题后括号内划“√”，反之划“×”.41.若数列n x 单调，则n x 必收敛.( )42.若函数)(x f 在区间b a,上连续，在),(b a 内可导，且)()(b f a f ，则一定不存在),(b a ，使)(f . ( )43.1sin sin limcos 1cos 1limsin sin limxx xx xxx x xxx由洛比达法则.( )44.2ln 23102ln 02dxe x. ( )45.函数),(y x f 在点),(y x P 处可微是),(y x f 在),(y x P 处连续的充分条件.( ) 四、计算题（每小题5分，共40分）46．求xxxsin 0lim .47.求函数3211xx xy 的导数dxdy .48.求不定积分dx x ex)]1ln([2.49.计算定积分dx x 02cos 22.50.设)3,sin (2y x y e f zx，且),(v u f 为可微函数，求dz.得分评卷人得分评卷人51．计算Ddxdy x 2，其中D 为圆环区域：4122yx.52．将242xx 展开为x 的幂级数，并写出收敛区间.53．求微分方程0)2(22dxx xy y dy x 的通解.五、应用题（每题7分，共计14分）54. 某工厂欲建造一个无盖的长方题污水处理池，设计该池容积为V 立方米，底面造价每平方米a 元，侧面造价每平方米b 元,问长、宽、高各为多少米时，才能使污水处理池的造价最低？55. 设平面图形D 由曲线xe y ,直线e y 及y 轴所围成.求：（1）平面图形D 的面积;(2) 平面图形D 绕y 轴旋转一周所成的旋转体的体积.六、证明题（6分）56.若)(x f 在],[b a 上连续，则存在两个常数m 与M ，对于满足b x x a21的任意两点21,x x ，证明恒有)()()()(121212x x M x f x f x x m .2007年河南省普通高等学校选拔优秀专科生进入本科阶段学习考试(答案)一1解：子集个数D n 8223。
2007年浙江省普通高校“专升本”联考《高等数学(一)》试卷【附答案】
2007年浙江省普通高校“专升本”联考《高等数学（一）》试卷考试说明：1、考试时间为150分钟；2、满分为150分；3、答案请写在试卷纸上，用蓝色或黑色墨水的钢笔、圆珠笔答卷，否则无效；4、密封线左边各项要求填写清楚完整。
一、填空题：（只需在横线上直接写出答案，不必写出计算过程，本题共有8个空格，每一空格5分，共40分）1．函数()2lg 1-=x y 的定义域是______________________。
2．设x y 3sin 5=，则_________________________________=dx dy。
3．极限_________________________1lim102=+⎰∞→dx x x n n 。
4．积分⎰=+_______________________________sin 1cot dx x x。
5．设,1111xxy -++=则()_______________________5=y 。
姓名：_____________准考证号：______________________报考学校 报考专业：6．积分________________________________sin sin 097=-⎰πdx x x 。
7．设()y x e y x u 32sin ++-=，则________________________=du 。
(超纲,去掉)8．微分方程()032=+++dy y y y x xdx 的通解________________________。
二．选择题：（本题共有4个小题，每一个小题5分，共20分，每个小题给出的选项中，只有一项符合要求）1．设()()⎪⎩⎪⎨⎧+⎪⎭⎫ ⎝⎛--+=x x x x x f ln 2311sin 13211≥<x x ，则1=x 是()x f 的 【 】。
().A 连续点， ().B 跳跃间断点， ().C 无穷间断点， ().D 振荡间断点。
2007年河南省专升本考试高等数学试卷及答案
2007年河南省普通高等学校 选拔优秀专科生进入本科阶段学习考试《高等数学》试卷一. 单项选择题（每题2分，共计50分）在每小题的备选答案中选出一个正确答案，并将其代码写在题干后 面的括号内.不选、错选或多选者，该题无分.1.集合}5,4,3{的所有子集共有 （ ） A. 5 B. 6 C. 7 D. 8 解：子集个数D n⇒==8223。
2.函数x x x f -+-=3)1arcsin()(的定义域为 （ ） A. ]3,0[ B. ]2,0[ C. ]3,2[ D. ]3,1[解： B x x x ⇒≤≤⇒⎩⎨⎧≥-≤-≤-2003111。
3. 当0→x 时，与x 不等价的无穷小量是 ( )A.x 2B.x sinC.1-xe D.)1ln(x + 解：根据常用等价关系知，只有x 2与x 比较不是等价的。
应选A 。
4.当0=x 是函数xx f 1arctan )(= 的 （ ）A.连续点B. 可去间断点C.跳跃间断点D. 第二类间断点解：21arctan lim 0π=+→x x ；C x x ⇒π-=-→21arctan lim 0。
5. 设)(x f 在1=x 处可导，且1)1(='f ，则h h f h f h )1()21(lim 0+--→的值为（ ）A.-1B. -2C. -3D.-4解：C f h f h f h h f h f h h ⇒-='-=+'--'-=+--→→3)1(3)1()21(2[lim )1()21(lim 00 。
6.若函数)(x f 在区间),(b a 内有0)(,0)(<''>'x f x f ，则在区间),(b a 内，)(x f 图形 （ ）A ．单调递减且为凸的B ．单调递增且为凸的C ．单调递减且为凹的D ．单调递增且为凹的 解：⇒>'0)(x f 单调增加；⇒<''0)(x f 凸的。
2007年江苏专转本高等数学真题(附答案)
2007年江苏省普通高校“专转本”统一考试高等数学一、单项选择题（本大题共6小题，每小题4分，满分24分） 1、若2)2(lim=→x x f x ，则=∞→)21(lim xxf x （ ）A 、41 B 、21C 、2D 、42、已知当0→x 时，)1ln(22x x +是x n sin 的高阶无穷小，而x n sin 又是x cos 1-的高阶无穷小，则正整数=n （ ） A 、1B 、2C 、3D 、43、设函数)3)(2)(1()(---=x x x x x f ，则方程0)('=x f 的实根个数为 （ ） A 、1B 、2C 、3D 、44、设函数)(x f 的一个原函数为x 2sin ，则=⎰dx x f)2('（ ）A 、C x +4cosB 、C x +4cos 21C 、C x +4cos 2D 、C x +4sin5、设dt t x f x ⎰=212sin )(，则=)('x f （ ）A 、4sin x B 、2sin 2x x C 、2cos 2x x D 、4sin 2x x 6、下列级数收敛的是（ ）A 、∑∞=122n nnB 、∑∞=+11n n nC 、∑∞=-+1)1(1n nnD 、∑∞=-1)1(n nn二、填空题（本大题共6小题，每小题4分，满分24分）7、设函数⎪⎩⎪⎨⎧=≠+=020)1()(1x x kx x f x ，在点0=x 处连续，则常数=k8、若直线m x y +=5是曲线232++=x x y 的一条切线，则常数=m9、定积分dx x x x )cos 1(43222+-⎰-的值为10、已知→a ，→b 均为单位向量，且21=⋅→→b a ，则以向量→→⋅b a 为邻边的平行四边形的面积为11、设yxz =，则全微分=dz 12、设x x e C e C y 3221+=为某二阶常系数齐次线性微分方程的通解，则该微分方程为三、解答题（本大题共8小题，每小题8分，满分64分）13、求极限xx x e x x tan 1lim 0--→.14、设函数)(x y y =由方程xy e e yx=-确定，求0=x dx dy 、022=x dx yd . 15、求不定积分dxe x x⎰-2.16、计算定积分dx xx ⎰-122221. 17、设),32(xy y x f z +=其中f 具有二阶连续偏导数，求yx z∂∂∂2.18、求微分方程2'2007x y xy =-满足初始条件20081==x y 的特解.19、求过点)3,2,1(且垂直于直线⎩⎨⎧=++-=+++01202z y x z y x 的平面方程.20、计算二重积分dxdy y x D⎰⎰+22，其中{}0,2|),(22≥≤+=y x y x y x D .四、综合题（本大题共2小题，每小题10分，满分20分）21、设平面图形由曲线21x y -=（0≥x ）及两坐标轴围成.（1）求该平面图形绕x 轴旋转所形成的旋转体的体积；（2）求常数a 的值，使直线a y =将该平面图形分成面积相等的两部分. 22、设函数9)(23-++=cx bx ax x f 具有如下性质： （1）在点1-=x 的左侧临近单调减少；（2）在点1-=x 的右侧临近单调增加； （3）其图形在点)2,1(的两侧凹凸性发生改变. 试确定a ，b ，c 的值.五、证明题（本大题共2小题，每小题9分，满分18分）23、设0>>a b ，证明：dx x f e e dx e x f dy baa x x byy x ba⎰⎰⎰++-=)()()(232.24、求证：当0>x 时，22)1(ln )1(-≥-x x x .2007年江苏省普通高校“专转本”统一考试高等数学参考答案1、B2、C3、C4、A5、D6、D7、2ln8、19、π2 10、2311、dy yxdx y 21- 12、06'5''=+-y y y 13、解：212lim 21lim 1lim tan 1lim00200==-=--=--→→→→x x x x x x x x e x e x x e x x x e . 14、解：方程xy e e yx=-，两边对x 求导数得''xy y y e e yx+=⋅-，故xe ye y dx dy y x +-=='. 又当0=x 时，0=y ，故10==x dx dy 、2022-==x dx yd .15、解：)(22)(2222xx x x x x e d x e x dx xe e x e d x dx e x ------⎰⎰⎰⎰--=+-=-=C e xe e x x x x +---=---222.16、解：令t x sin =，则41sin cos 1242212222πππ-==-⎰⎰dt t t dx x x . 17、解：'2'12yf f x z +=∂∂，)3()3(2''22''21'2''12''112x f f y f x f f yx z ⋅+⋅++⋅+⋅=∂∂∂ '2''22''12''11)32(6f xyf f y x f ++++=18、解：原方程可化为x y x y 20071'=⋅-，相应的齐次方程01'=⋅-y xy 的通解为Cx y =.可设原方程的通解为x x C y )(=.将其代入方程得x x C x C x x C 2007)()()('=-+，所以2007)('=x C ，从而C x x C +=2007)(，故原方程的通解为x C x y )2007(+=. 又2008)1(=y ，所以1=C ，于是所求特解为x x y )12007(+=.（本题有多种解法，大家不妨尝试一下） 19、解：由题意，所求平面的法向量可取为)3,1,2(112111)1,1,2()1,1,1(-=-=-⨯=→kj i n .故所求平面方程为0)3(3)2()1(2=---+-x y x ，即0532=+-+z y x .20、解：916cos 38203cos 20220222====+⎰⎰⎰⎰⎰⎰⎰πθπθθρρθθρρd d d d d dxdy y x DD.21、解：（1）⎰=-=122158)1(ππdx x V ； （2）由题意得⎰⎰-=-aady y dy y 012121)1()1(. 由此得2323)1(1)1(a a --=--. 解得31)41(1-=a .22、解：c bx ax x f ++=23)(2'，b ax x f 26)(''+=.由题意得0)1('=-f 、0)1(''=f 、2)1(=f ，解得1-=a 、3=b 、9=c23、证明：积分域D ：⎩⎨⎧≤≤≤≤b x y b y a ，积分域又可表示成D ：⎩⎨⎧≤≤≤≤x y a bx ady e dx e x f dy e x f dx e x f dx e x f dy xay b ax x ay x b aDy x b yy x ba⎰⎰⎰⎰⎰⎰⎰⎰===+++22222)()()()(dx x f e e dx e e e x f baa x xb aa x x ⎰⎰+-=-=)()()()(232.24、证明：令11ln )(+--=x x x x F ，显然，)(x F 在()+∞,0上连续. 由于0)1(1)(22'>++=x x x x F ，故)(x F 在()+∞,0上单调递增，于是，当10<<x 时，0)1()(=<F x F ，即11ln +-<x x x ，又012<-x ，故22)1(ln )1(->-x x x ；当1≥x 时，0)1()(=≥F x F ，即11ln +-≥x x x ，又012≥-x ，故22)1(ln )1(-≥-x x x . 综上所述，当0>x 时，总有22)1(ln )1(-≥-x x x .。
江苏省2007年专转本高等数学试卷及解答
= ( − cot t − t ) π = 1 − ． 4 4
2
π
π
∂2 z 17．设 z = f (2 x + 3 y , xy ) 其中 f 具有二阶连续偏导数，求 ． ∂x∂y
解 设 u = 2 x + 3 y , v = xy ，则 z = f (u , v) ．于是
∂2 z ∂ ′′ ′′ ′′ ′′ = (2 f1′ + yf 2′ ) = 6 f11 + 2 xf12 + f 2′ + 3 yf 21 + xyf 22 ∂x∂y ∂y = 6 f ′′ + (2 x + 3 y ) f ′′ + xyf ′′ + f ′ ．
江苏省2007年专转本高等数学试卷及解答
一、单项选择题 （本大题共6小题，每小题4分，满分24分）
1．若 lim
f (2 x) 1 = 2 ，则 lim xf 等于 x →0 x →∞ x 2x 1 1 C ．2 A． B． D ．4 4 2
（ B）
2．已知当 x → 0 时， x 2 ln(1 + x 2 ) 是 sin n x 的高阶无穷小，而 sin n x 又是1 − cos x 的高阶无穷小，则正整数 n 等于 A．1 B．2 C ．3 D ．4 （ C）
当 0 < x < 1时， F ′′′( x) < 0 ，从而 F ′′( x) 在 (0,1) 上单调减少；当 x > 1 时 ， F ′′′( x) > 0 ， 则 F ′′( x) 在 (1,+ ∞) 上 单 调 增 加 ， 因 而 有
F ′′( x) > F ′′(1) = 2 > 0 ，所以 F ′( x) 在 (0, + ∞) 上单调增加．
2007年河南专升本高等数学真题+真题解析
2007河南省普通高等学校选拔优秀专科毕业生进入本科阶段学习考试高等数学试卷一、选择题 （每小题2 分，共50 分） 1．集合{}3,4,5的子集个数为（ ）A ．5B ．6C ．7D ．8【答案】D【解析】n 元素集合的子集个数为2n 个，故已知集合的子集个数为328=．2．函数()arcsin(1)f x x =-+ ）A ．[]0,1B ．[]0,2C ．[]0,3D ．[]1,3【答案】B【解析】要使arcsin(1)x -有意义，须使11x -≤，解得02x ≤≤有意义，须使30x -≥，解得3x ≤；综上，函数的定义域为[]0,2．3．当0x →时，与x 不等价的无穷小量是（ ）A ．2xB ．sin xC ．1x e -D ．ln(1)x +【答案】A【解析】显然2x 与x 在0x →时不等价．4．0x =是函数1()arctan f x x=的（ ）A ．连续点B ．可去间断点C ．跳跃间断点D ．第二类间断点【答案】C【解析】因函数1()arctan f x x=在0x =处无定义，所以0x =为()f x 的间断点．又01lim ()lim arctan 2x x f x x π++→→==，001lim ()lim arctan 2x x f x x π--→→==-，故点0x =为()f x 的跳跃间断点．5．设()f x 在1x =处可导，且(1)1f '=，则0(12)(1)limh f h f h h→--+=（ ）A ．1-B ．2-C ．3-D ．4-【答案】C 【解析】00(12)(1)(12)(1)(1)(1)limlim (2)3(1)32h h f h f h f h f f h f f h h h →→--+--+-⎡⎤'=-⋅-=-=-⎢⎥-⎣⎦． 故选C ．6．设()f x 在区间(,)a b 内有()0f x '>，()0f x ''<，则()f x 在区间(,)a b 内（ ） A ．单调减少且凹的 B ．单调增加且凸的C ．单调减少且凸的D ．单调增加且凹的【答案】B【解析】由()0f x '>可知()f x 在区间(,)a b 上单调增加，由()0f x ''<可知函数是凸的，故选B ．7．曲线31y x =+的拐点为（ ）A ．(0,1)B ．(1,0)C ．(0,0)D ．(1,1)【答案】A【解析】6y x ''=，令0y ''=得0x =，当0x <时，0y ''<，当0x >时，0y ''>，故点(0,1)是曲线的拐点．8．曲线2223x y x -=的水平渐近线为（ ） A ．23y = B ．23y =-C ．13y =D ．13y =-【答案】C【解析】2221lim 33x x x →∞-=，13y =为曲线的水平渐近线，故选C ．9．24tan limx x xdx x →=⎰（ ）A ．0B ．12C ．1D ．2【答案】B【解析】2220433000tan 2tan 21limlim lim 442x x x x xdx x x x x x x x →→→⋅===⎰．10．()f x 是()g x 的原函数，则下列正确的是（ ） A ．()()f x dx g x C =+⎰ B ．()()g x dx f x C =+⎰C ．()()g x dx f x C '=+⎰D ．()()f x dx g x C '=+⎰【答案】B【解析】根据不定积分与原函数的关系可知()()g x dx f x C =+⎰．11．cos(13)x dx -=⎰（ ） A ．1sin(13)3x C --+B ．1sin(13)3x C -+C ．sin(13)x C --+D ．3sin(13)x C -+【答案】A【解析】11cos(13)cos(13)(13)sin(13)33x dx x d x x C -=---=--+⎰⎰．12．设0(1)(3)xy t t dt =--⎰，则(0)y '=（ ）A ．3-B ．1-C ．1D ．3【答案】D【解析】(1)(3)(0)3y x x y ''=--⇒=，故选D ．13．下列广义积分收敛的是（ ） A．1+∞⎰B ．11dx x+∞⎰C．1+∞⎰D．1⎰【答案】C【解析】由p积分的敛散性可知1+∞⎰收敛．14．关于不定积分221sin cos dx x x⎰，下列结果错误的是（ ）A ．tan cot x x C -+B ．1tan tan x C x-+C ．cot tan x x C -+D ．cot 2x C -+【答案】C【解析】C 选项中，()2222111cot tan sin cos sin cos x x C x x x x'-+=--=-，故选C ．15．函数2y x =在区间[]1,3的平均值为（ ）A ．263B ．133C ．8D ．4【答案】B【解析】3323111113()263b a x f x dx x dx b a ===-⎰⎰，故选B ．16．经过Oz 轴，且经过点(3,2,4)-的平面方程为（ ）A ．320x y +=B ．20y z +=C ．230x y +=D ．20x z +=【答案】C【解析】经过Oz 轴的平面可设为0Ax By +=，把点(3,2,4)-代入得230x y +=．17．双曲线221340x z y ⎧-=⎪⎨⎪=⎩绕z 轴旋转得曲面方程为（ ） A ．222134x y z +-=B ．222134x y z +-=C ．22()134x y z +-=D ．22()134x y z +-=【答案】A【解析】把22134x z -=中2x 换成22x y +得222134x y z +-=，故选A ．18．00x y →→ ）A ．16B ．16-C ．0D ．极限不存在【答案】B【解析】00016x x x y y y →→→→→→==-=-．19．设y z x =，则(,1)e zy∂=∂（ ）A ．1eB ．1C ．eD ．0【答案】C 【解析】(,1)(,1)ln ln y e e z x xe e e y∂===∂，故选C ．20．方程231z y xz -=所确定的隐函数(,)z f x y =，则zx∂=∂（ ）A ．223z y xz -B ．232z xz y-C ．23zy xz-D ．32zxz y-【答案】A【解析】令23(,,)1F x y z z y xz =--，则3x F z =-，223z F yz xz =-，故223x z F z z x F y xz∂=-=∂-．21．设C 为抛物线上从点(0,0)到点(1,1)之间的一段弧，则22Cxydx x dy +=⎰（ ）A ．1-B ．0C ．1D ．2【答案】C【解析】C ：2x x y x=⎧⎨=⎩，x 从0变到1，1230241C xydx x dy x dx +==⎰⎰，故选C ．22．下列正项级数收敛的是（ ）A ．2131n n ∞=+∑B ．21ln n n n ∞=∑C ．221(ln )n n n ∞=∑ D．n ∞=【答案】C 【解析】21ln dx x x+∞⎰发散，221(ln )dx x x +∞⎰收敛，由积分判别法知B 发散，C 收敛；其余几个级数均与级数具有相同的发散性．故选C ．23．幂级数101(1)3n n n x ∞+=+∑的收敛区间为（ ）A ．(1,1)-B ．(3,3)-C ．(2,4)-D ．(4,2)-【答案】D【解析】令1x t +=，级数化为10011333nn n n n t t ∞∞+==⎛⎫= ⎪⎝⎭∑∑，级数收敛区间为(3,3)-，即1(3,3)x +∈-，故(4,2)x ∈-，选D ．24．微分方程32cos x y y y e x -'''++=利用待定系数求特解时，设*y =（ ） A ．cos x Ce xB ．12(cos sin )x eC x C x -+C ．12(cos sin )x xe C x C x -+D ．212(cos sin )x x e C x C x -+【答案】B【解析】特征方程为2320r r ++=，特征根为11r =-，22r =-，而1i -+不是特征方程的特征根，特解应设为*12(cos sin )x y e C x C x -=+．25．函数()y f x =满足微分方程2x y y e '''+=，且0()0f x '=，则()f x 在0x 处（ ）A ．有极小值B ．有极大值C ．无极值D ．有最大值【答案】A【解析】0022000()()()0x x f x f x e f x e '''''+=⇒=>，故选A ．二、填空题 （每小题 2分，共 30分）26．设()25f x x =+，则[]()1f f x -=________． 【答案】413x +【解析】[][]()12()152()32(25)3413f f x f x f x x x -=-+=+=++=+．27．2lim !nn n →∞=________．【答案】0【解析】构造级数02!nn n ∞=∑，利用比值判别法知它是收敛的，根据收敛级数的必要条件可得2lim 0!nn n →∞=．28．设函数43,0()2,02x e x f x ax x ⎧<⎪=⎨+≥⎪⎩在0x =处连续，则a =________． 【答案】6【解析】0lim ()3x f x -→=，0lim ()2x a f x +→=，由题意可知32a=，故6a =．29．曲线22y x x =+-在点M 处的切线平行于直线51y x =-，则点M 的坐标为 ________． 【答案】(2,4)【解析】215y x '=+=，从而2x =，4y =，故点M 坐标为(2,4)．30．已知21()x f x e -=，则(2007)(0)f =________． 【答案】200712e -【解析】()21()2n n x f x e -=，故(2007)20071(0)2f e -=．31．曲线23121x t y t t =+⎧⎨=-+⎩，则1|t dydx ==________． 【答案】1【解析】114113||t t dy t dx ==-==．32．若函数2()f x ax bx =+在1x =处取得极值2，则a =________，b =________． 【答案】2-，4【解析】(1)2f a b =+=，(1)20f a b '=+=，联立解得2a =-，4b =． 33.()()f x dx f x '=⎰________． 【答案】ln ()f x C + 【解析】()()ln ()()()f x df x dx f x C f x f x '==+⎰⎰．34．=⎰________．【答案】4π【解析】21144ππ=⋅=⎰．35．向量34+-i j k 的模=a ________．【解析】a36．平面1:2570x y z π+-+=与平面2:43130x y mz π+++=垂直，则m =________． 【答案】2【解析】1(1,2,5)=-n ，2(4,3,)m =n ，1246502m m ⊥⇒+-=⇒=n n ．37．函数22(,)f x y xy x y +=+，则(,)f x y =________． 【答案】22x y -【解析】2222(,)()2(,)2f x y xy x y x y xy f x y x y +=+=+-⇒=-．38．二次积分0(,)yI f x y dx =交换积分次序后为________．【答案】1(,)(,)xf x y dy f x y dy +⎰【解析】(,)02D x y y y x ⎧⎪=≤≤≤≤⎨⎪⎩(,)0(,)1,0x y x y x x y x y ⎧⎫⎧⎪⎪⎪=≤≤≤≤+≤≤≤⎨⎬⎨⎪⎪⎪⎩⎭⎩，故积分次序交换后为1(,)(,)x f x y dy f x y dy +⎰．39．若级数11n nu ∞=∑收敛，则级数1111n n n u u ∞=+⎛⎫- ⎪⎝⎭∑的和为________．【答案】11u 【解析】122311*********n nn n S u u u u u u u u ++⎛⎫⎛⎫⎛⎫=-+-++-=- ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭， 而11lim 0n n u →∞+=，故11lim n n S S u →∞==．40．微分方程20y y y '''-+=的通解为________． 【答案】12x x y C e C xe =+（12,C C 为任意常数）【解析】特征方程为2210r r -+=，特征根为121r r ==，故通解为12x x y C e C xe =+（12,C C 为任意常数）．四、计算题（每小题5 分，共40 分） 46．计算sin 0lim x x x +→． 【答案】1【解析】0000ln lim1lim sin ln lim ln lim sin sin ln 00lim lim 1x x x x xx xx xxxx xxx x x e eeeee +→+++→→→++-→→=======．47．已知y x =dydx．【答案】2113(1)3(1)x x x x ⎤+-⎢⎥-+⎦【解析】两边取自然对数得()1ln 2ln ln 1ln 13y x x x =+--+， 两边对x 求导得2111311y y x x x '-⎛⎫=+- ⎪-+⎝⎭，故2113(1)3(1)dy x dx x x x ⎤=+-⎢⎥-+⎦．48．求 2ln(1)x e x dx ⎡⎤++⎣⎦⎰．【答案】21(1)ln(1)2x e x x x C +++-+【解析】22211ln(1)(2)ln(1)ln(1)221xx x xe x dx e d x x dx e x x dx x ⎡⎤++=++=++-⎣⎦+⎰⎰⎰⎰ 22111ln(1)1(1)ln(1)212x x e x x dx e x x x C x ⎛⎫=++--=+++-+ ⎪+⎝⎭⎰．49．计算0⎰．【答案】4【解析】2022cos 2cos 2cos x dx xdx xdx πππππ===-⎰⎰⎰⎰⎰222sin 2sin 4xxπππ=-=．50．设2(sin ,3)x z f e y x y =，且(,)f u v 是可微函数，求dz ． 【答案】21212(sin 6)(cos 3)x x e yf xyf dx e yf x f dy ''''+++【解析】1212sin 6sin 6x x zf e y f xy e yf xyf x∂''''=⋅+⋅=+∂，221212cos 3cos 3x x zf e y f x e yf x f y∂''''=⋅+⋅=+∂， 故21212(sin 6)(cos 3)x x z zdz dx dy e yf xyf dx e yf x f dy x y∂∂''''=+=+++∂∂．51． 计算2Dx dxdy ⎰⎰，其中D ：2214x y ≤+≤．【答案】154π【解析】积分区域D 在极坐标系下为{}(,)02,12r r θθπ≤≤≤≤，故222222220100151515115cos cos (1cos2)sin 248824I d r rdr d d πππππθθθθθθθθ⎛⎫=⋅==+=+=⎪⎝⎭⎰⎰⎰⎰．52．将函数22()4xf x x =-展开成x 的幂级数，并写出其收敛区间． 【答案】1201(1)()2n n n n f x x ∞++=⎡⎤+-=⎢⎥⎣⎦∑，(2,2)x ∈-．【解析】22114222414122x x x x x x x x x ⎛⎫=+=+ ⎪--+⎛⎫⎛⎫⎝⎭-+ ⎪ ⎪⎝⎭⎝⎭，又01,(1,1)1nn x x x ∞==∈--∑， 从而01212n n x x ∞=⎛⎫= ⎪⎝⎭-∑，01212nn x x ∞=⎛⎫=- ⎪⎝⎭+∑，(2,2)x ∈-， 故120001(1)()42422n nn n n n n n x x x x f x x ∞∞∞++===⎡⎤+-⎛⎫⎛⎫=+-=⎢⎥ ⎪ ⎪⎝⎭⎝⎭⎣⎦∑∑∑，(2,2)x ∈-．53．求微分方程22(2)0x dy y xy x dx +--=的通解． 【答案】122xy Cx e x =+ 【解析】方程可化为2121x y y x -'+=，这是一阶线性非齐次微分方程，212()xP x x -=，()1Q x =，代入公式得通解为 11111()()222221()P x dxP x dx x x x x x y e Q x e dx C x e e dx C x e e C Cx e x x --⎛⎫⎛⎫⎡⎤⎰⎰=+=+=+=+ ⎪ ⎪⎢⎥⎣⎦⎝⎭⎝⎭⎰⎰．五、应用题 （每小题7 分，共 14 分）54．某工厂建一排污无盖的长方体，其体积V ，底面每平米造价为a （元），侧面每平米造价为b （元）．为使其造价最低，其长、宽、高各应为多少米？ 【答案】【解析】设长方体的长、宽分别为x ，y ，则高为Vxy，又设造价为z ，由题意可得 222()V bV bV z axy b x y axy xy y x =++=++，而22z bVay x x∂=-∂，22z bV ax y y ∂=-∂，令0zx∂=∂，0z y ∂=∂，得唯一驻点x y ==由题意可知造价一定在内部存在最小值，故x y ==最低．55．平面图形D 是由曲线x y e =，直线y e =及y 轴所围成的，求： （1）平面图形D 的面积；（2）平面图形D 绕y 轴旋转一周所生成的旋转体的体积． 【答案】（1）1 （2）(2)e π-【解析】（1）平面图形D 的面积为1100()()1x x S e e dx ex e =-=-=⎰．（2）平面图形D 绕y 轴旋转一周所生成的旋转体的体积为2211111(ln )(ln )2ln 2ln 2(2)eeee e y V y dy y y ydy e y y dy e πππππππ==-=-+=-⎰⎰⎰．五、证明题 （6 分）56．设()f x '在[],a b 上连续，存在m ，M 两个常数，且满足12a x x b ≤<≤，证明： 212121()()()()m x x f x f x M x x -≤-≤-．【解析】()f x '在[],a b 上连续，根据闭区间上连续函数的最值定理可知，()f x '在[],a b 上既有最大值又有最小值，即(,)x a b ∈时有()m f x M '≤≤．又因()f x '在[]12,x x 上有意义，从而()f x 在[]12,x x 上连续且可导，即()f x 在[]12,x x 上，满足拉格朗日中值定理，即存在12(,)x x ξ∈使得2121()()()f x f x f x x ξ-'=-，而()m f M ξ'≤≤，故恒有212121()()()()m x x f x f x M x x -≤-≤-．。
2007年河南专升本-公共英语-真题及答案
2007年河南省普通高等学校选拔优秀专科毕业生进入本科阶段学习考试公共英语试卷Part Ⅰ Word Formation (10 points) Directions: There are 10 incomplete statements in thispart. You should fill in each blank with the proper form ofthe given word, and write the right answer in thebrackets“【 】”.【 】1.All the men were under heavy ____ working day and night (press).【 】2.The young industrial engineer did everything in a ____ way(leisure) 【 】3.These activities help to greatly ____ the ties among the clubmembers (strong).【 】4.She repeated his name ____, too shocked to say more (help).【 】5.Many foreign words and phrases have the English language (rich).【 】6.Nowadays, we are in avery business environment (competition).【】7.As a college student, you should aim for an ____ of knowledgewell beyond your area of specialization (expand).【 】8.In our ____, the laboring people are masters of country (social).【 】9.She is always ____ to help others (will).【 】10.His stories written in her later years were not interestingbecause of his ____ of imagination (poor).Directions: There are 40 incomplete sentences in this part.For each sentence there are four choices marked A,B, C and D. Choose the ONE answer that best completesthe sentences, and then write the choice in the brackets“【】”.【】11.One of the requirements for a fire is that the material ____ to its burning temperature.A. is heatedB. will be heatedC. be heatedD. would be heated【】12.I have to ________ my expenditure to my income.A. transferB. adjustC. directD. add【】13.If he had been in better health, he ________ more books.A. can writeB. could have writtenC. could writeD. have written【】14.With the development of industry, this region will surely ________.A. developB. profitC. succeedD. thrive【】15.I’m going to spend the winter vacation in Shanghai, ________ I have relatives.A. whichB. neverthelessC. whereD. when【】16. The new campus is ________ as the old one.A.twice as bigB.as twice bigC.twice bigD.big as twice【】17.If ________ to speak, he has no problem expressing himself.A. askedB. askingC. askD. to be asked 【】18.Mum is getting old, so her memory is not very ________ these days.A. trueB. forgettableC. reliableD. credit【】19.Which door does this key ________to?A. setB. fitC. becomeD. belong【】20.Much ________ my regret, I am unable to accept your kind invitation.A. toB. atC. withD. by【】21.It ought to be you ________ me that signs the letter.A. butB. in spite ofC. ratherD. rather than 【】22.Literature must consist of words, ________ music must consist of sounds.A. even thoughB. so thatC. just asD. ever since 【】23.If the building project ________ by the end of this month is delayed, the construction company will be fined.A. being completedB. is completedC. to be completedD. completed【】24.I prefer walking ________.A.to driveB.to drivingC.than driveD.than driving【】25.The committee a conclusion only after days of discussion.A. achievedB. reachedC. arrivedD. completed 【】 is ________ among the seven continents.A. largestB. the largestC. largerD. the larger 【】27. You me because I didn’t say that.A. must understandB. must be understandingC. must have understoodD. had to misunderstand【】28.Generally speaking, nodding your head is to saying yes.A. contraryB. equivalentC. secondaryD.relevant【】29.I have been to the West Lake three times 1970.A. sinceB. untilC. fromD. after【】30. gathering and storing information, the computer can also solve complicated problems.A. Not onlyB. UnlessC. ExceptD. Besides【】31.Seldom in such a rude way.A. we have been treatedB. have we been treatedC. we have treatedD. have we treated【】32. , that step is not safe!A. Look aroundB. Look upC. Look outD. Look down【】33.He went on to say that it was as important to respect others as ________ by others.A. to be respectedB. to respectC. being respectedD. respected【】34.I saw a traffic this morning.A. eventB. conflictC. damageD. accident 【】35. you ought to do is to see a doctor.A. HowB. WhatC. WhichD. That【】36.Every means but without much result.A. have been triedB. has been triedC. have triedD. has tried【】37.Finding it difficult to to the climate in the city, he decided to move to the north.A. fitB. adoptC. suitD. adapt【】38.We must begin testing this instrument, no matter difficult it is.A. howeverB. howC. whateverD. what【】39.He climbed up into the tree and picked all the fruit reach.A. withinB. beyondC. offD. inside【】40.The man was stolen called the police.A. his walletB. the wallet of hisC. whose walletD. the wallet of whom【】41.Those opinions are now out of .A. orderB. formC. moodD. fashion 【】42.Neither Mary nor her sister to the party.A. goB. are goingC. have goneD. is going 【】43.Any student in swimming can apply for membership.A. having a keen interestB. with a keen interestingC. who is keenly interestingD. has a keen interest【】44.Just because he failed once, it does not that he will fail every time.A. followB. happenC. appearD. seem【】45.He plays not only the piano, the violin.A. and alsoB. but alsoC. but as well asD. but as well【】46.The population of the world is growing at a dangerous .A. stepB. measureC. rateD. progress 【】47. him do this job by himself ?A. Why don’t letB. Why not lettingC. Why not letD. Why you not to let【】48.He speaks English ________ better than I.A. veryB. muchC. tooD. so【】49.There can be no doubt someone had visited the house before they arrived.A. whyB. whetherC. howD. that【】50.He grew more and more absorbed in his work, he almost forgot his meals.A. that to such an extentB. to an extent such thatC. to such an extentD. such that to an extentPart III Reading Comprehension (40 points)passage is followed by some questions or incompletestatements. For each of them there are 4 choicesmarked A, B, C and D. You should decide on the bestchoice, and write it in the brackets “【】”.Passage 1Advertising follows us everywhere. Whenever we turn on the television, listen to the radio or open a newspaper or magazine, we are bombarded with advertisements. They invite us to try a new type of orange juice, wear X-brand jeans or watch the latest film. They beg us to notice the difference and discover the advantages. They exist to make us want what they are selling.Strangely, the more we are exposed to advertising, the less we notice it. We get so used to seeing advertisements everywhere that they become largely invisible, as if they were another part of our everyday lives. But do that mean that we are no longer affected by them?One advertising expert believes that the special power of advertising lies in the fact that we do not pay much attention to it. Dr. Krugman, who was head of research for a major advertising company for many years, says that the less we notice ads, the more we are affected by them. Dr. Krugman believes that when we stop noticing advertisements, we lower our defenses, allowing the messages of the advertisements to be taken in and stored, ready to be triggered into action at the right moment. He says that the effects of advertising on the individual are small, but over a period of time they have a powerful effect on the masses.A market analyst says that all advertising, no matter how innocent, is misleading in some way.When asked about the power of advertising in research surveys, most people agree that it works, but not on them. Almost everyone believes that they have complete control over how thousands of ads they see every day affect them.【】51. Ads exist to make people want .A. a new type of orange juiceB. X-brand jeansC. to watch the latest filmD. what they advertise【】52. The more we see ads, the less we .A. pay attention to themB. feel tired of themC. neglect themD. put up with them【】53. Although we may think we are not affected by them, Dr. Krugman believes that advertisements affect .A. all of usB. most of usC. some of usD. a few individuals【】54. Dr. Krugman believes that when we stop noticing ads, we begin to .A. like themB. be on guard against themC. accept themD. dislike them【】55. When asked about the power of ads, most people agree that ads are ineffective on .A. individualsB. massesC. othersD. themPassage 2Like most people, I was brought up to look upon life as a process of getting. It was not until in my late thirties that I made this important discovery: giving away makes life so much more exciting. You need not worry if you lack money. This is how I experimented with giving away. If an idea for improving the window display of a neighborhood store flashes to me, I step in and make the suggestion to the storekeeper. One discovery I made about giving away is that it is almost impossible to give away anything in this world without getting something back, though the return often comes in an unexpected form. One Sunday morning the local post office delivered an important special delivery letter to my home, though it was addressed to me at my office. I wrote the postmaster a note of appreciation. More than a year later I needed a post office box for a new business I was starting. I was told at the window that there were no boxes left, and that my name would have to go on a long waiting list. As I was about to leave, the postmaster appeared in the doorway. He had overheard our conversation. “Wasn’t it you that wrote us that letter a year ago about delivering a special delivery to your home?” I said yes. “Well, you certainly are going to have a box in this post office if we have to make one for you. You don’t know what a letter like that means to us. We usually get nothing but complaints.”【】56. From the passage, we understand that .A.the author did not understand the importance of giving until hewas in late thirtiesB.the author was like most people who were mostly receiversrather than giversC.the author received the same education as most people duringhis childhoodD.the author liked most people as they looked upon life as aprocess of getting【】57. According to the author .A.giving means you will lack moneyB.the excitement of giving can bring you moneyC.you don’t have to be rich in order to giveD.when you give away money, you will be rich【】58.The author wrote a note of appreciation to the post office because.A. he knew what such a note would mean to the post office.B. he had discovered giving-away made life all the more exciting.C.he believed he would get something back by doing so.D.the postman delivered an important letter in time.【】59. When the author needed a post office box, .A.he had to put his name on a waiting listB.he wrote the postmaster a note of appreciationC.many people had applied for post-office boxes before himD.he asked the postmaster to make one for him【】60. In reply to the postmaster’s question, the author said .A.it was the special deliveryB.it was the post-office boxC.it was the note of appreciation he wroteD.it was he who wrote him a letter a year agoPassage 3Generations of Americans have been brought up to believe that a good breakfast is one of life’s essentials. Eating breakfast at the start of the day, we have all been told, is as necessary as putting gasoline in the family car before starting a trip.But for many people the thought of food first thing in the morning is by no means a pleasure. So despite all the efforts, they still take no breakfast. Between 1977 and 1983, the latest years for which figures are available, the number of people who didn’t have breakfast increased by 33 percent―from 8.8 million to 11.7 million―according to the Chicago-based Market Research Corporation of America.For those who feel pain or guilt about not eating breakfast, however, there is some good news. Several studies in the last few years indicate that, for adults especially, there may be nothing wrong with omitting breakfast. “Going without breakfast does not affect performance.”Said Arnold E.Bender, the former professor of nutrition at Queen Elizabeth College in London. “nor does giving people breakfast improve performance.”Scientific evidence linking breakfast to better health or better performance is surprisingly inadequate, and most of the recent work involves children, not adults. “T he literature,”says one researcher, Dr. Ernesto Pollitt at the University of Texas, “is poor”.【】61. The passage is mainly concerned with .A. a study of the Chicago-based Market Research CorporationB.one of life’s essentialstest figures of people who don’t eat breakfastD.breakfast and human health【】62. For those who do not take breakfast, the good news is that .A.several studies have been done in the past few yearsB.not eating breakfast does no harm to one’s healthC.adults have especially made studies in this fieldD.eating little in the morning may be good for health【】63. In the third paragraph, “nor does giving people breakfast improve performance.” means .A.anyone without breakfast does improve his performanceB.not giving people breakfast improves performanceC.people having breakfast do improve their performanceD.having breakfast does not improve performance, either【】64. The word “literature”in the last sentence refers to .A.stories about breakfastB.written works on a particular subjectC.any printed materialsD.the modern novels of American【】65. What is implied but not stated by the author is that .A.not eating breakfast might affect the health of childrenB.breakfast does not affect performanceC.Professor Bender once taught college courses in nutrition inLondonD.People who don’t eat breakfast have increasedPassage 4Each day, computers help millions of people do their jobs more effectively. For example, they can help managers decide on a future course of action, and they can then help with the follow-up checks on performance to see if planned goals are being achieved. By using accurate and timely facts supplied by data base management software, a manager can do a better job of identifying problems and opportunities. And managers may not need to spend as much time in controlling when a computer can respond with a triggered report if actural performance varies from what was planned. The time saved in controlling may allow managers to give more attention to employees’ concerns, and this, in turn, may result in improved morale(士气)。
2007年专升本样题及答案
2007年陕西省普通高等学校在校生专升本招生考试（样题）大学英语注意事项：1. 全卷共页。
满分为150分。
考试时间为150分钟。
2. 分为试卷与答题纸，考生必须用蓝（黑）色字迹钢笔、圆珠笔或签字笔将答案写在答题纸上，写在试卷上的答案无效。
3. 答卷前将密封线内项目填写清楚。
试卷I. Vocabulary and Structure (40分)Directions: There are 40 incomplete sentences in this part. For each sentence there are four choices marked A, B, C and D. Choose the ONE that best completes the sentence. Then write your answer on the Answer Sheet.1. When we saw his face, we knew _______ was bad.A. the newsB. some newsC. a newsD. news2. Mary keeps talking about the party; she had a very good time, ________she?A. hadn’tB. hadC. didn’tD. weren’t3. “Did Amy’s parents leave her any money?”“No. She has to support _______now.”A. by herselfB. herselfC. all aloneD. on her own4. John insisted that he _________ sent to the countryside to teach English.A. wasB. isC. beD. had been5. _______ this experiment is not difficult.A. Having doneB. Being doneC. To doD. Done6. “________ like a cup of coffee?” Alex asked her.A. Do youB. Shall youC. Would youD. Can you7. I knew I could not finish the work ________.A. by he had comeB. until he has comeC. when he comesD. before he came8. Writing stories and articles ________ what he is fond of.A. isB. areC. wereD. have been9. Today’s weather isn’t as cold as it was yesterday, _______?A. wasn’t it C. was itC. isn’t itD. is it10. “Must we take a bus?”“No, we ________. We can walk from here.”A. must notB. don’t mustC. needn’t C. better had it11. “Do you regret paying fifty dollars for the dog?”“No, I would gladly pay __________for him.”A. as much twiceB. twice so muchC. much twiceD. twice as much12. Have you finished your homework? This lesson is ______ than the last one.A. more easierB. more easyC. much easierD. very easier13. Was it Judy _______ you gave the message?A. whomB. whoC. to whomD. to who14. It was _______ the next morning that Kunta began to think about where he was going.A. afterB. whenC. not untilD. till15. Though small, the room is comfortable ________.A. to liveB. to live inC. living inD. live in16. As we arrived at the village, we saw many new houses ______.A. builtB. buildC. being builtD. building17. Returning to my room, __________.A. my watch was missingB. I found my watch disappearedC. the watch was missedD. I found my watch missing18. The English of this composition is too good. She can’t ______ it herself.A. have to writeB. have writtenC. had writtenD. be written19. The decision _______, what is to be done new is how to carry it out.A. been madeB. has been madeC. having been madeD. having been making20. _______ that the pilot couldn’t fly through it.A.The storm so severe wasB.So severe was the stormC.So the storm was severeD.Such was the storm severe21. Generally _______, that city is less crowded than the others in the country.A. talkingB. speakingC. sayingD. telling22. On _______ of our company, I’d like to welcome you all.A. behalfB. dairyC. decadeD. delight23. The bicycle was moving so fast that its rider could not _______ an accident.A. leaveB. avoidC. missD. stop24. He was left alone, with ______ to look after him.A. someoneB. anyoneC. not oneD. no one25. The doctor told her that her temperature was ________.A. normalB. familiarC. currentD. formal26. He prefers writing a term paper _______ taking an examination.A. thanB. toC. forD. that27. David always had a bedtime story at 7 o’clock ________.A. flatB. sharpC. rightD. just28. We’ve looked _______ for the boys we lost.A.in all placesB. at all placesB.over all D. everywhere29. It’s quite late now and Mr. White ______ hasn’t left his office.A. stillB. alreadyC. sinceD. yet30. The trip to the west has been _______ due to the lack of the funds.A. insistedB. canceledC. infectedD. inferred31. You need to ______ the time for the meeting or you will come late.A. measureB. maintainC. confirmD. mend32. I didn’t expect to ______ my teacher in the street yesterday.A. refer toB. work withC. deal withD. run into33. The government sent a delegation to ________ the matter.A. look intoB. look forward toC. look downD. look in34. If you ________ your money to mine, we shall have enough.A. addB. combineC. joinD. unite35. Nowadays, there is a very ______ rule forbidding smoking in public places.A. severeB. strongC. hardD. strict36. The flat where we live ______ three rooms only. There is no other space left.A. is comprised ofB. is made ofC. containsD. is composed of37. It would bring about an _______ of the conditions of the working men and women in thiscountry.A. advanceB. increaseC. improvementD. achievement38. In order to improve our condition, this new scheme must be _____.A. adoptedB. adaptedC. admiredD. admitted39. Facing danger, Jack always ________ calm.A. looksB. seemsC. remainsD. appears40. We did not expect them to ________. We thought they were in America.A. presentB. assistC. come acrossD. turn upII.Reading Comprehension (50分)Directions: There are 4 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 write the corresponding letter on theAnswer Sheet.Questions 41 to 45 are based on the following passage:The making of glass is a very old industry—at least 4,500 years old. Glass has many extraordinary qualities and it is frequently being used in new ways.One of the most interesting new uses for glass is in telephone communication. （81）Scientists have developed glass fibres（纤维）as thin as human hair which are designed to carry light signals. When the light reaches the other end, it is first changed into electrical signals, which are in turn converted into sound messages.Called lightwave（光波）communication, the new system was used successfully in an experiment in Chicago in 1977. During the experiment, two glass fibres were able to carry 672 conversations at the same time. The lightwave cable containing 144 glass fibres, has the capacity to carry 50,000 conversations at the same time.The lightwave communication system has two important advantages. First the glass fibre cables are smaller and weigh less than copper (铜) cables. Second, they cost less.Perhaps it can be said that telephone communication has entered the age of light!41. One of the extraordinary qualities of glass is that it can carry_______.A. sound signalsB. light signalsC. electrical signalsD. any signal42. Before you can hear a message on the telephone using the new system_______.A. electrical signals must first be changed into light signals and then into soundB. the light signals have to be changed directly into sound messagesC. light must first be changed into electrical signals and then into soundD. either the light or the electrical signals have to be changed into sound message43. According to the passage the new telephone communication system_______.A. had been used within limited scope before 1977B. Was first put into actual use in 1977C. had been repeatedly experimented on before 1977D. was put on experiment in l97744. From the passage you can tell that people prefer glass fibre cables to copper cablesbecause_______.A. glass fibrcs are 1ess expensiveB. glass fibres deliver messages directlyC. glass fibres are more up to dateD. glass fibres are easier to make45. Which of the following statements best expresses the main idea of the passage? _______.A.C1ass is very useful because it has many unusual qualities.B. Light signals have changed the use of glass in industry.C. Glass fibres have reduced the cost of telephone communication.D.The use of glass fibres to carry telephone messages is an interesting newdevelopment.Questions 46 to 50 are based on the following passage:Languages are marvelously complex and wonderfully complicated organs（器官）of culture: they include the quickest and the most efficient means of communicating within their respective culture.（82）To learn a foreign language is to learn another culture. In the words of a poet and philosopher（哲学家）,“As many languages as one speaks, so many lives one lives”A culture and its languages are as inseparable as brain and body；while one is a part of the other, neither can function without the other. In leaning a foreign language，the best beginning is with the non-verbal （非语言）linguistic（语言学的）elements of the language, its gestures, its body language. （83）Eye contact is extremely important in English. Direct eye contact leads to understanding, or, as the English maxim (格言)has it, seeing eye-to-eye. We can never see eye-to-eye with a native speaker of English until we have learned to look directly into his eyes.46. The best title for this passage is_______.A. Organs of Culture B．Brain and BodyC. Seeing Eye-to-EyeD. Non-Verbal Linguistic Elements47.According to this passage，the best way to learn a foreign language i_______.A. to read the works of poets and philosophersB. to find a native speaker and look directly into his eyesC. to begin by learning its body languageD. to visit a country where English is spoken48.According to this passage，gestures are_______.A. non-verbal as well as non-linguistic B．verbal and linguisticC. non-verbal but nevertheless 1inguistic D．verbal but nevertheless non-linguistic49. “As many languages as one speaks, so many lives one lives” means _______.A. “if one learns many foreign 1anguages，one will have a better understanding of hisown 1anguage．”B. “Life is richer and more inter esting if one knows several languages．”C. “No matter how many languages one knows，one can never know more than one's ownculture．”D. “If a person speaks only one language，he will live a very happy life．”50. One of the following which is different with the others is_______.A. signsB. gesturesC. idiomsD. body languageQuestions 51 to 55 are based on the following passage:Time spent in a bookshop can be most enjoyable, whether you are a book 1over or merely there to buy a book as a present. Whatever the person you can soon become totally aware of yoursurroundings. You soon become engrossed in some books, and usually it is only much 1ater that you realize you have spent far too much time there and must dash off to keep some forgotten appointment—Without buying a book of course.（84）This opportunity to escape the realities of everyday 1ife is, I think, the main attraction of a bookshop. A music shop is very like a bookshop. You can wander round such places to your heart’s content. If it is a good shop, no assistant will approach you with the common greeting:“Can l help you, sir?”You needn't buy anything you don't want. In a bookshop, an assistant should remain in the background until you have finished browsing. Then, and only then, are his services necessary.You have to be careful not to be attracted by the variety of books in a bookshop. It is very easy to enter the shop 1ooking for a book on ancient coins and to come out carrying a copy ofthe 1atest bestselling novel and perhaps a book about brass-rubbing(拓印) something which had only vaguely（含糊地）interested you up until then. This volume on the subject, however, happens to be so well illustrated and the part of the text you read proves so interesting that you just have to buy it. This sort of thing can be very dangerous. Apart from running up a huge account, you can waste a great deal of time wandering from section to section. Booksellers must be both long-suffering and indulgent（宽容的）.51. You may be unaware of the time passing by in a bookshop because_______.A. you want to escape the reality of everyday lifeB. you have to finish browsing one of the booksC. you don’t want to waste your moneyD. you have to make sure you don’t buy a dull book as a present52. In a good bookshop_______.A. the shop assistant greets you in a friendly wayB. you feel obliged to buy one of the booksC. your heart is contentedD. no shop assistant will approach you unless his service is called53. It is very unwise to enter a bookshop and buy_______.A. a best-selling hovel on brass-rubbingB. a book on ancient coinsC. a book on the subject that vaguely interests youD. a book well illustrated and expensive54. According to the writer，the best way to escape the realities of routine life is_______.A. to have a long chat with assistant in a bookshopB. to stay in a bookshop, being absorbed in reading books of various kindsC. to buy a best-selling novel to readD. to wander about in the streets55. The best title of this selection would be_______.A. On buying booksB. Bookshops and AssistantsC. Booklovers and BookshopsD. How to Escape the Realities of Everyday Life in a BookshopQuestions 56 to 60 are based on the following passage:It is difficult to imagine what 1ife would be 1ike without memory. The meanings ofthousands of everyday perceptions, the bases for the decisions we make and the roots of our habits and skills are to be found in our past experiences, which are brought into the present by memory.Memory can he defined as the capacity to keep information available for later use. It includes not only “remembering” things like arithmetic or historical facts, but also involves any change in the way an animal typically behaves. Memory is invo1ved when a rat gives up eating grain because he has sniffed something suspicious in the grain pile. Memory is also invo1ved when a six-year-old child 1earns to swing a baseball bat.（85）Memory exists not only in humans and animals but also in some physical objects and machines. Computers, for example, contain devices for storing data for later use. It is interesting to compare the memory storage capacity of a computer with that of a human being. The instant-access memory of a large computer may hold up to 100,000 “words”—ready for instant use. An average U.S. teenager probably recognizes the meaning of about 100,000 words of English. However, this is but a fraction of the total amount of information which the teenager has stored. Consider, for example, the number of faces and places that the teenager can recognize on sight.The use of words is the basis of the advanced problem-solving intelligence of human beings.A large part of a person’s memory is in terms of words and combinations of words.56. According to the passage, memory is considered to be________.A. the basis for decision making and problem solvingB. an ability to store experiences for future useC. an intelligence typically possessed by human beingsD. the data mainly consisting of words and combinations of words57. The comparison made between the memory capacity of a 1arge computer and that of ahuman being shows that_______.A. the computer’s memory has a 1ittle bigger capacity than a teenager’sB. the computer’s memory capacity is much smaller than all adult human being’sC. the computer’s memory capacity is much smaller even than a teenager’sD. both A and B58. The who1e passage implies that_______.A. only human beings have problem-solving intelligenceB. a person’s memory is different from a computer’s in every respectC. animals are able to so1ve only very simple problemsD. animals solve problems by instinct rather than intelligence59. The phrase “in terms of” in the last sentence can best be replaced by_______.A. “in connection with”B. “expressed by”C. “consisting”D. “by means of”60. The topic of the passage is_______.A. What would life be like without memory?B. Memory is of vital importance to life.C. How is a person’s memory different from an animal’s or a computer’s?D. What is contained in memory?III. Cloze Test (20分)Directions:There are 20 blanks in the following passage. For each blank there are four choices marked A, B, C and D. You should choose the ONE that best fits into the passage. Then write the corresponding letter on the Answer Sheet.My wealthy uncle was dying. He wanted to leave me his 61 fortune which was about half a million dollars. There was one condition: I must be married 62 he died. If not, I wouldn’t receive a 63 .I was not a 64 man, but I thought half a million dollars was a rather high 65 for keeping my freedom. I 66 decided to make the great sacrifice. It was easier said than done. The doctor was 67 my uncle would be dead within two weeks. That put me in a difficult position. You see, 68 being for years old, I was also 69 . I had no lady friends. I couldn’t70 advertise myself as wealthy until after my 71 . Advertise! What a good idea!I ran an advertisement in one of the 72 Sunday newspapers. To my surprise and joy, I received over a thousand 73 . I spent hours opening the letters.My heart 74 . It was certain I couldn’t read all the letters, still less interview their 75 . Time was running out. In despair, I burnt all the letters. 76 choice was better than a had choice. In this dejected state of mind, I went to see a good friend. He was the waiter in a restaurant. I told him my 77 . “If you are really 78 ,” he said, “ I can recommend my sister. She’s an excellent cook and a good housekeeper. She is all 79 now.”“80 is she interested in marriage?”I asked.61. A. half B. entire C. part D. some62. A. when B. after C. if D. before63. A. cent B. money C. gift D. wish64. A. anxious B. greedy C. poor D. proud65. A. prize B. income C. price D. value66. A. also B. just C. therefore D. otherwise67. A. thankful B. certain C. helpful D. excited68. A. but B. except C. besides D. with69. A. poor B. proud C. plain D. ugly70. A. possibly B. luckily C. certainly D. likely71. A. uncle B. marriage C. decision D. plan72. A. interesting B. necessary C. popular D. active73. A. gifts B. invitations C. calls D. replies74. A. excited B. sank C. softened D. broke75. A. callers B. ladies C. authors D. owners76. A. No B. Any C. Each D. Every77. A. uncle B. wish C. marriage D. problem78. A. anxious B. worried C. curious D. serious79. A. lonely B. eager C. alone D. welcome80. A. But B. Also C. Or D. SoIV. Translation (20分)Section A: (非英语专业学生做)Directions: In this part of the test, there are five items which you have to translate into Chinese. Each item consists of one or two sentences. These sentences are all underlined and taken from thereading passages you have just read in the Reading Comprehension part. You are allowed 20 minutes to do the translation. You should refer back to the passages so as to identify their meanings in the context.81. (Para 2, Passage 1)Scientists have developed glass fibres as thin as human hair which are designed to carry light signals. When the light reaches the other end, it is first changed into electrical signals, which are in turn converted into sound messages.82. (Para 1, Passage 2)To learn a foreign language is to learn another culture. In the words of a poet and philosopher,“As many languages as one speaks, so many lives one lives”83. (Para 1, Passage 2)Eye contact is extremely important in English. Direct eye contact leads to understanding, or, as the English maxim has it, seeing eye-to-eye.84. (Para 2, Passage 3)This opportunity to escape the realities of everyday 1ife is, I think, the main attraction of a bookshop.85. (Para 3, Passage 4)Memory exists not only in humans and animals but also in some physical objects and machines. Section B: (英语专业学生做)Directions: In this section, there is a short passage in Chinese. Read it carefully and put it into English.玫瑰花与苹果树在一棵苹果树的旁边长着一丛玫瑰花。
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母填在题后的括号内。每小题 1 分，共 15 分）
25.中国现代小说的奠基人是
()
A．沈从文
B．茅盾
C．鲁迅
D．巴金
26.庄子《秋水》的主旨是阐发
()
A．为政以德的道理
B．吸纳人才的主张
C．以民为本的治国思想
D．人的认识有限的哲理
27．《寡人之于国也》选自
()
A.《庄子·秋水》 B．《荀子·劝学》 C．《论语·为政》 D．《孟子·梁惠王》
D．文学的文字必须顾及联想意义
38.议论文中，由已知一般原理推导出关于个别情况的结论，这种论证方法是
()
A.对比法
B．归纳法法
C．演绎法
D．类比法
39.作品诙谐幽默、寓悲于喜、具有“含泪的微笑”的独特风格的美国著名小说家是( )
A.莫泊桑
B．契诃夫
C．欧·亨利
D．屠格涅夫
六、文言文翻译（将每题画线处译成现代汉语。每小题 3 分，共 15 分）
难得、最稀有的态度。人类的习惯是喜同而恶异的，总不喜欢和自己不同的信仰、思想、行 为。这就是不容忍的根源。不容忍只是不能容忍和我自己不同的新思想和新信仰。一个宗教 团体总相信自己的宗教信仰是对的，是不会错的，所以它总相信那些和自己不同的宗教信仰 必定是错的，必定是异端、邪教。一个政治团体总相信自己的政治主张是对的，是不会错的， 所以它总相信那些和自己不同的政治见解必定是错的，必定是敌人。
D．发展市场经济的考验
E．和平演变的考验
17.改革、发展、稳定的关系是
()
A．改革是动力
B．发展是目的
C．稳定是前提
D．稳定是目的
E．发展是手段
18.社会主义初级阶段的私营经济
()
A．是社会主义市场经济的重要组成部分
B．是公有制经济的组成部分
C．其生产经营活动与公有制经济有着密切的联系
D．其企业主剥削雇佣劳动者的剩余劳动
28.在下列句子中，“则”字表示转折关系可译为“却”的是
()
A．既来之，则安之
B．到则披草而坐，倾壶而醉
C．苟有能反是者，则又爱之太殷
D．兵强则士勇
29．《诗经·氓》中比喻女子不可过分沉溺于爱情的诗句是
()
A．桑之未落，其叶沃若
B．于嗟鸠兮，无食桑葚
C．桑之落矣，其黄而陨
D．淇则有岸，隰则有泮
30.唐代“新乐府运动”的倡导者是
依赖于我们的感觉而存在，为我们的感觉所复写、摄影、反映。
——《列宁选集》第 2 卷
请回答：
(1)分析材料 1，说明其物质观性质及特点。
(2)分析材料 2，说明其物质观性质及特点。
(3)谈谈对材料 3 的观点的认识和理解。
第二部分 大学语文
五、单项选择题（每小题 4 个备选答案中，只有一个是正确的，请将正确选项前的字
天覆于上，地偃于下，下气蒸上，上气降下，万物自生其中矣。”
——《论衡·自然篇》
赫拉克利特说：“这个世界，对于一切存在物都是一样的，它不是任何神所创造的，也
不是任何人所创造的；它过去、现在、未来永远是一团永恒的活火，在一定的分寸上燃烧，
在一定的分寸上熄灭。”“一切转化为火，火又转化为一切，有如黄金换成货物，货物又换
10．明知自己的行为会发生危害社会的结果，并且放任这种结果发生，因而构成犯罪的，在
刑法理论上称为
()
A．直接故意犯罪
B．间接故意犯罪
C．疏忽大意的过失犯罪
D．过于自信的过失犯罪
二、不定项选择题（下列每题的选项中，至少有一项是符合题意的。请将正确选项前
的字母填在题后的括号内。少选、多选、错选均不得分。每小题 2 分，共 20 分）
一切对异端的迫害，一切对“异己”的摧残，一切宗教自由的禁止，一切思想言论的被 压迫，都由于这一点深信自己是不会错的心理。因为深信自己是不会错的，所以不能容忍任 何和自己不同的思想信仰了。
试看欧洲的宗教革新运动的历史。马丁·路德( Martin Luther)和约翰·高尔文(John Calvin)等人起来革新宗教，本来是因为他们不满意于罗马旧教的种种不容忍，种种不自由。 但是新教在中欧、北欧胜利之后，新教的领袖们又都渐渐走上不容忍的路上去，也不容许别 人起来批评他们的新教条了。高尔文在日内瓦掌握了宗教大权，居然会把一个敢独立思想、 敢批评高尔文的教条的学者塞维图斯( Servetus)定了“异端邪说”的罪名，把他用铁链锁 在木桩上，堆起柴来，慢慢地活烧死。这是 1553 年 10 月 23 日的事。
E．受国家法律的保护并要在法律所规定的范围内活动
19.财产所有权的法律特征包括
()
A.它是一种绝对权
B．它是一种相对权
C．它是一种对世权
D．它是一种排他权
E．它是一种完全的无期限的物权
20.我国行政诉讼法的基本原则有
()
A.人民法院特定主管原则
B．合理性审查原则
C．合法性审查原则
D．适用调解原则
E．行政损害赔偿责任原则
2．“在对立中把握同一，在同一中把握对立。”这是一种
()
A.辩证法的观点
B．形而上学的观点
C．相对主义诡辩论的观点
D.主观唯心主义的观点
3．认识发展过程的第二次飞跃是
()
A.从知觉到表象
B．从判断到推理
C．从感性认识到理性认识
D.从理性认识到实践
4．我们党制定的以经济建设为中心，集中力量进行社会主义现代化建设的决策，是建立在
40.今乃弃黔首以资敌国，却宾客以业诸侯。
41.生孩六月，慈父见背。 42.惟陈言之务去。 43.小人有母，皆尝小人之食矣，未尝君之羹，请以遗之。 44.日夕策马，候权者之门。
七、阅读下面两则短文，分别回答文后的问题（共 20 分） 短文一 在宗教自由史上，在思想自由史上，在政治自由史上，我们都可以看见容忍的态度是最
成黄金。”
--《西方哲学原著选读》上卷
材料 2
霍布斯认为：“所以，物体的定义可以这样下：物体是不依赖我们思想的东西，与空间
的某个部分相合或具有同样的广袤。”
一一霍布斯《论物体》
材料 3
恩格斯指出：物、物质无非是各种物的总和，而这个概念就是从这一总和中抽象出来的。
——《马克思恩格斯选集》第 3 卷
列宁认为：物质是标志客观实在的哲学范畴，这种客观实在是人通过感觉感知的，它不
()
A.国家主席行使
B．国务院总理行使
C．国家主席和全国人民代表大会常委会结合行使
D.国家主席和全国人民代表大会结合行使
9．我国企业破产法规定，破产财产优先拨付破产费用后，应当首先清偿的债务或者费用是
()
A．破产企业所欠的税款 B．破产企业所欠职工工资和劳动保险费用
C．破产企业所欠的银行贷款 D．破产债权
11．下列选项中，体现重视矛盾特殊性的有
()
A．对症下药，量体裁衣
B．因地制宜，因时制宜
C．声东击西，欲擒故纵
D. 一把钥匙开一把锁
E．因材施教，因人而异
12．下列选项中，属于内容和形式关系的有
()
A．生产力和生产关系的关系
B．实践和认识的关系
C．国家的国体和政体的关系
D．文学作品的题材和体裁的关系
()
A．演绎法
B．例证法
C．对比法
D．类比法
34.司马迁在《李将军列传》中，以汉文帝“惜乎，子不遇时”的话来评价李广，其主要用
意是
()
A．感叹李广才能出众
B．批评李广缺乏才情
C．掩饰文帝用人偏见
D．暗示李广一生的不幸
35．《始得西山宴游记>中，作者以周围群山“萦青缭白，外与天际，四望如一”来表现西山
E．社会意识中社会心理和思想体系的关系
13．下列选项中，正确表述感性认识与理性认识区别的有
()
A．感性认识反映事物的各个片面，理性认识反映事物的整体
B．感性认识反映事物的外部联系，理性认识反映事物的内部联系
C．感性认识反映事物的现象，理性认识反映事物的本质
D．感性认识具有直接性和形象性，理性认识具有间接性和抽象性
C．发展民族经济、实现共同繁荣
D．保障少数民族当家做主，管理本民族、本地方事务的权力
7．社会主义精神文明建设的根本任务是
()
A.弘扬爱国主义的精神
B．引导人们树立正确的世界观、人生观、价值观
C．发展面向现代化、面向世界、面向未来的，民族的科学的大众的文化
D.培养有理想、有道德、有文化、有纪律的公民
8．我国行使国家元首职权的方式是由
2007 年普通高等学校专升本考试试题 文科综合
第一部分 政治理论
一、单项选择题（下列每题的选项中，有一项是最符合题意的。请将正确选项前的字
母填在题后的括号内。每小题 1 分系属于
()
A.共性和个性的关系
B．本质和现象的关系
C．绝对和相对的关系
D.内容和形式的关系
E．感性认识包含错误，理性认识完全正确
14．“任何一个民族，如果停止劳动，不用说一年，就是几个星期，也要灭亡。”这说明
()
A．生产劳动是人类生存和发展的基础 B．生产劳动是人类社会生活的全部内容
C．生产劳动是全部社会生活的基础
D．生产劳动是改造自然的活动
E．生产劳动是人类有意识有目的的活动
15．在社会主义初级阶段，公有制经济和非公有制经济
三、辨析题（请对所给命题进行辨别、分析。要求观点正确，言之成理。共 3 小题，
每小题 6 分，共 18 分）
21.在矛盾的两种基本属性中，斗争性是无条件的、绝对的，因而是主要的；同一性是
有条件的、相对的，因而是次要的。
22.实践基础上的理论创新是社会发展和变革的先导。
23.王力（12 周岁）与邻居宋强（已满 18 周岁）向来很好。宋强很喜欢王力的电子琴