2017年韩山师范学院本科插班生考试《高等代数》A卷
完整word版2016年韩山师范学院本科插班生现代汉语试卷
（A卷）第1 页共7 页韩山师范学院2016年本科插班生考试试卷汉语言文学专业现代汉语试卷（A卷）分）分，共16一. 填空（每空1 得分评卷人它是一种即从结构上说，汉语作为一种语言，具有一切语言共有的性质。
1. 。
；从功能上说，它是______________________ _________个辅音声母。
2. 声母是音节开头的_________，普通话中共有 _________。
e实际是单韵母中的_________，发音条件是3. ie、üe中的。
从现行汉字楷书字形角度对汉字进行汉字字体演变的主流是_________4._________。
分析，汉字的构件包括_________和是词_________所表达的内容。
词义是语言中词的含义，是词的_________5.义中的主要部分。
和___________6. 对句子结构分析，经常采用三种方法：句子成分分析法、。
___________ 。
“现在”则是___________，7. 就词性来说，“正在”是___________ 的不同上。
语气的不同主要表现在语调和___________8.分，共20分）二. 选择（每题1 评卷人得分（请将答案填入下面的表格中）1（A卷）第2 页共7 页1. 现代汉语常用词中以双音节为主的是（）A.代词B.量词C.名词D.动词2. 下列几项表述中属于口语特点的是（）A.用词精审B.结构严谨C.句子简短D.逻辑性强3. 语音的本质属性是（）A.物理属性B.社会属性C.生理属性D.心理属性4. 属于开口呼韵母的是（）A.强B.而C.主D.远5. 韵头、韵腹、韵尾俱全的是（）A.鸟B.娃C.句D.生6. pa、pai、pan、pang、pian中的a在实际发音中（）A.有差异，能区别词义B.有差异，不能区别词义D.没有差异，能区别词义 C.没有差异，不能区别词义7. 从汉字跟汉语的关系来看，汉字是（）A.语素文字B.音节文字C.音位文字D.音素文字8. “六书”中，促使汉字字量大大增加的结构方式是（）A.会意字B.形声字C.象形字D.假借字9. 属于一个语素的是（）A.蜓B.葡C.民D.柠檬汁儿10. 属于音译词的是（）A.伏特加B.美德C.心疼D.深浅11. “我们热爱伟大的祖国”中包含（）A.4个词、8个语素B.5个词、9个语素D.7 个词、 8个语素个语素C.6个词、712. 下列词语符合“平平仄仄”模式的是（）A.光明磊落B.师出有名C.喜笑颜开D.满载而归13. 属于偏正短语的是（）A.群众的智慧B.暗下去C.吃、穿、用D.喜欢游泳2（A卷）第3 页共7 页14. 属于谓词性短语的是（）A.十年前B.妈妈的微笑C.有资格晋升D.一百个15. 下列句子中含补语的句子是（）A.腐烂变质的食物吃不得。
韩山师范学院2013年专升本插班生高等代数模拟试卷
韩山师范学院2013年专升本插班生模拟试卷数学与应用数学 专业 高等代数 考试 （A 卷）一、 选择题（每小题3分，共15分）1、设()n x x x f ,,,21 为n 元实二次型，则()n x x x f ,,,21 负定的充要条件为（ B ）（A ）负惯性指数=f 的秩 （B ）正惯性指数=0； （C ）符号差=n - （D ）f 的秩=n 。
2、设{}m ααα,,,21 是线性空间V 的一个向量组，它是线性无关的充要条件为（ A ）（A ）任一组不全为零的数m k k k ,,,21 ，都有∑=≠mi i i k 10α（B ）任一组数m k k k ,,,21 ，有∑==mi i i k 10α；（C ）当021====m k k k 时，有∑==mi i i k 10α；（D ）任一组不全为零的数m k k k ,,,21 ，都有∑==mi i i k 10α。
3、设E 1E 2…E s A E s +1…E t =I ,其中E i 为初等矩阵，i = 1,2,…, t , 则A -1等于( C ). （A ）E 1 E 2 …E t （B ）E t …E 2 E 1（C ）E s+1 …E t E 1 …E s （D ）E t …E s +1E 1 …E s .4、欧氏空间3R 中的标准正交基是（A ）（A ）()0,1,0;21,0,21;21,0,21⎪⎭⎫ ⎝⎛-⎪⎭⎫ ⎝⎛ （B ）()1,0,0;21,21;0,21,21⎪⎭⎫⎝⎛-⎪⎭⎫ ⎝⎛（C ）()0,0,0;31,31,31;31,31,31⎪⎪⎭⎫⎝⎛-⎪⎪⎭⎫ ⎝⎛ （D ）()()()1,1,1;1,1,1;1,1,1---5. 在欧氏空间C[0, 2π]中，向量x 2的长度等于 ( B )。
（A ）5325π （B （C ）383π （D 二、判断题（每小题2分，共10分。
你认为正确的，在题后圆括号内打“√”，错误的打“×”。
(自填)韩师2011《高代》专插本考试样卷(答案)
韩山师范学院2011年专升本插班生考试样卷数学与应用数学专业高等代数 A卷题号一二三四五六七八九十总分评卷人得分一、选择题(每小题3分，共15分)题号 1 2 3 4 5 答案1．m个方程n个未知量的线性方程组中，若其系数矩阵的秩等于m, 则( )成立。
（A）方程组一定有解; （B）方程组一定有无穷多解;（C）方程组一定无解; （D）方程组一定有唯一解.2. 设E1E2…E s A E s+1…E t =I,其中E i为初等矩阵，i = 1,2,…, t , 则A-1等于( ).（A）E1E2…E t；（B）E t…E2E1；（C）E s+1…E t E1…E s；（D）E t…E s+1E1…E s .3. 设A1, A2,…, A s都是n阶方阵，则对角线分块矩阵12sAAA⎛⎫⎪⎪⎪⎪⎝⎭的秩等于( ).（A）秩(A1A2…A s)；（B）秩A1×秩A2×…×秩A s；（C）秩(A1+A2+…+A s)；（D）秩A1+秩A2+…+秩A s .4. 设α1 , α2 ,…, αs与β1 , β2 ,…, βs均为线性相关的向量组，则下列结论正确的是（）.（A）α1+β1, α2+β2,…,αs+βs线性相关；（B）α1+β1,α2+β2,…,αs+βs线性无关；（C）α1,α2,…,αs,β1,β2,…,βs线性相关；（D）α1, α2,…,αs,β1,β2,…,βs线性无关.5.1221 , , 333α⎛⎫=-⎪⎝⎭，2212, ,333α⎛⎫=-⎪⎝⎭是R3的规范正交组，添加( )可以扩充为R 3的规范正交基.（A ）122 , , 333⎛⎫- ⎪⎝⎭； （B ）122 , , 333⎛⎫-- ⎪⎝⎭；（C ）221 , , 333⎛⎫-- ⎪⎝⎭； （D ）212 , , 333⎛⎫-- ⎪⎝⎭.二、填空题（把答案填在题中横线上。
每小题3分，共15分）1. 在n 元排列中，反序数最大的排列的反序数为 .2. 实数域上的不可约多项式的次数只能是 .3. 5432()2101616146f x x x x x x =-+-+-在Q [x ]内的典型分解式为. 4. 复数域C 作为实数域R 上的向量空间, 维数是 . 5. m ×n 矩阵A 的行向量组所生成的F n 的子空间叫做A 的 .三、判断题(每小题2分，共14分. 你认为正确的，在题后圆括号内打“√”，错误的打“×”。
韩山师范学院2017年本科插班生考试试卷旅游管理专业市场营销学试卷(A卷)
韩山师范学院2017年本科插班生考试试卷旅游管理专业市场营销学试卷（A卷）一、单项选择题（每题1分, 共20分）1. 市场营销的核心是（）。
A. 生产B. 分配C. 交换D. 促销2.体育明星和电影明星是其崇拜者的（）。
A. 成员群体B. 直接参照群体C. 厌恶群体D. 向往群体3．在复杂的购买行为中, 消费者购买决策过程的第三个阶段是（）。
A. 确认B. 收集信息C. 备选产品评估D. 决定购买4. 收集第一手资料的主要工具是（）。
A. 计算机B. 乱数表C. 调查表D. 统计年鉴5．某工程机械公司专门向建筑业用户供应推土机、打桩机、起重机、水泥搅拌机等建筑工程中所需要的机械设备, 这是一种（）策略。
A. 市场集中化B. 市场专业化C. 全面市场覆盖D. 产品专业化6. 市场定位是（）在细分市场的位置。
A. 塑造一家企业B. 塑造一种产品C. 确定目标市场D. 分析竞争对手7. （）差异的存在是市场细分的客观依据。
A. 产品B. 价格C. 需求偏好D. 细分8. 产品组合的宽度是指产品组合中所拥有（）的数目。
A. 产品项目B. 产品线C. 产品种类D. 产品品牌9．丽兰化妆品公司决定对其现有市场上销售的润肤霜进行升级换代, 这种密集增长战略是（）。
A.市场渗透B.产品开发C.市场开发D.多元化发展10. 某服装店售货员把相同的服装以800元卖给顾客A, 以600元卖给顾客B, 该服装店的定价属于( )。
A. 顾客差别定价B. 产品形式差别定价C. 产品部位差别定价D. 销售时间差别定价11.汽车制造厂增加了拖拉机生产, 叫( )。
A. 前向一体化B. 水平一体化C. 同心多元化D. 水平多元化12. 品牌中可以用语言称呼、表达的部分是( )。
A.品牌B.商标C.品牌标志D.品牌名称13. （）是最常见的市场营销组织形式。
A. 职能型组织B. 产品型组织C. 地区型组织D. 管理型组织14. 生产消费品中的便利品的企业通常采取（）的策略。
2017年韩山师范学院本科插班生考试试题《高级程序设计语言》A卷
韩山师范学院2017年本科插班生考试试卷计算机科学与技术专业 高级语言程序设计试卷（A 卷）一、填空题（每空2分，共10分）1．C 程序的基本组成单位是 函数 。
2．当a=1,b=35,c=5时，表达式a!=b>c 的值是 _____ 0 __。
3. 一个C 文件是一个__字节流__流或二进制流。
4. 一个字符数据既可以以字符形式输出，也可以以_ 整形 _形式输出。
5. 若a 是int 型变量，且a 的初值为6，则执行表达式a+=a-=a*a 后，a 的值为 -24 。
二、单项选择题（每题2分，共30分）1.下述程序段的输出结果是（D）。
int x=10;int y=x--;printf("%d,%d",(y++,x),y++);A、9，10B、11，10C、10，9D、9，11逗号运算符：表达式用逗号分开，所以最终的值应该是最后一个表达式的值2.下面各选项中，均是C语言标识符的选项组是（C）。
A、for china toB、void union _342C、long_123 short56 _doD、text.txt _075 _3ew 3．若int k=10；则执行下列程序后，变量k的正确结果是（B）。
main( ){ int k=10；switch(k){ case 9: k+=1；case 10: k+=1；break；case 11: k+=1；default: k+=1}printf(″%d\n″，k)；}A、12B、11C、10D、94．在位运算中，操作数每右移一位,其结果相当于（A）。
A、操作数除以2B、操作数乘以16C、操作数除以16D、操作数乘以2左移乘二，右移除以2，都是整除5．以下能对二维数组c进行正确的初始化的语句是（B）。
A、int c[][5]={{1},{},{4}};B、int c[][5]={{1},{2},{4}};C、int c[5][]={{2},{8},{4},{5}};D、int c[5][]={{6},{6},{9}};6、以下程序执行后，sum的值是（A）。
2019年本科插班生考试试题《高等代数》B卷
韩山师范学院2019年本科插班生招生考试数学与应用数学 专业 高等代数 试卷（B 卷）一、填空（每空3分，共30分）1. 一个素数p 有 个因数.2. 最小的数域是 .3. 方阵001020300A ⎛⎫ ⎪= ⎪ ⎪⎝⎭的逆矩阵A –1＝ .4. 多项式)(x f 无重因式的充要条件是)(x f 与()f x '满足条件 .5．n 阶行列式D 中等于零的元素的个数大于n n -2，则此行列式的值为 ．6. 次数大于零的多项式在复数域C 中只能有 次的不可约因式.7. 一个向量组的极大线性无关组所含向量的个数叫做该向量组的 .8．数域 F 上的向量空间V 的非空子集W 是V 的子空间的充要条件是． 9. 已知A 为⨯m n 矩阵, ≠m n ，则方程组θ=AX 只有零解的充要条件是 ．10. 两个复二次型等价的充分必要条件是 .二、是非题（对的打“√”，错的打“×”，每题3分，共30分）1.若111221221,a a a a =则11211112222212,b a a b x x b a a b ==是方程组111122121122220,0.++=⎧⎨++=⎩a x a x b a x a x b 的解. ( ) 2．任一个向量组空间都有基 . ( ) 3. 已知欧氏空间R 3的线性变换(,,)(,,)x y z x y y y z σ=++，则σ 是正交变换，也是对称变换. ( ) 4. 523146879 是奇排列. ( ) 5. 在欧氏空间C [-1，1]中，向量1与2x 正交. ( ) 6. 2是多项式1415623-+-x x x 的二重根. ( )7. 若两个向量组等价，则它们所包含的向量的个数相同。
( )8. 多项式432810-+-x x x 在有理数域上是不可约的. ( ) 9．奇数阶反对称矩阵的行列式值为零． ( ) 10. C 为复数域，则C 构成C 上的向量空间. ( ) 三、证明题（共10分）设)(x f 是一个整系数多项式，求证：若)1(),0(f f 都是奇数，那么)(x f 不可能有整数根.四、证明题（共10分）如果矩阵A 满足A T = A ，那么称A 是对称的. 设P 是可逆矩阵，证明：A 是对称矩阵⇔P T AP 是对称矩阵.五、证明题（共10分）设V 为数域P 上的n 维线性空间，且),,,(21n L V αααΛ=，证明：},,,{21211n αααααα++++ΛΛ是V 的一组基.六、计算题（共10分）设数域F 上三维向量空间的线性变换σ关于{α1 , α2 , α3}的矩阵是⎪⎪⎪⎭⎫ ⎝⎛--201120101，假设11232123312323,34,22βαααβαααβααα=++=++=++求σ关于基321,,βββ的矩阵.。
高等代数(专升本)
韩山师范学院本科三年级插班生考试 数学与应用数学 专业 高等代数 试卷一、 填空题（每题2分，共12分）1、设)(x p 是)(x f 的导数)(x f '的1-k 重因式，则)(x p 是)(x f 的k 重因式的充要条件是 ．2、设 A 是 n 阶方阵，则det(3A)= ．3、设 A 都是 n 阶可逆方阵, 满足aA 2+bA+I=0，则A -1= ． 4、n 元齐次线性方程组的系数矩阵的秩为r ，那么其基础解系含 个解向量． 5、欧氏空间中向量α的长度 α=2，则><αα,= ．6、复数域上两个n 元二次型等价的充要条件是它们____ _____． 二、 判断题（每题2分，共10分；在题后括号内打“√”或“×”） 1．A 、B 都为n 阶实方阵，detA = detB ，则A = B ．( ) 2．等价的向量组含有相同个数的向量．( )3．设δ，τ是n 维向量空间V 的两个线性变换．A ，B 分别是δ，τ关于V 的基n ααα,,,21 的矩阵，当δ≠τ时，必有 B ≠A ．（ ） 4．两个不同矩阵的特征根一定不同．（ ）5．在欧氏空间中V 中，对任何实数 k 都有 k k αα=．（ ） 三、 选择题（每题3分，共18分；将正确的选项序号填在题中括号内）1．下列命题正确的是：（ ） A 、如果)()()()(x h x f x g x f =，那么)()(x h x g =； B 、如果)()()(x g x f x h ，那么)()(x f x h 或)()(x g x h ； C 、如果)()(x f x p ，那么)())(),((x f x p x f =； D 、若既约分数sr为整系数多项式)(x f 的有理根，则)1(f r s -而且)1(-+f r s ． 2．n 阶行列式D 的元素ij a 的余子式ij M 与ij a 的代数余子式ij A 的关系是：（ ） A ．ij ij M A =； B 、ij ij M A -=； C 、ij ji ij M A +-=)1(； D 、ij ij M A ≠3、设0λ是可逆矩阵A 的非零特征根，则10-λ是（ ）的一个特征根．A ．—A ；B ．A ' ；C ．2A ； D ．1-A ．4．若m ααα,,,21 与n βββ,,,21 都线性无关,则向量组m αα,,,1 ,n ββ,,,1 ( )．A.一定线性无关；B.不一定线性无关；C.一定线性相关；D.以上结论都不对. 5、设A=)(ij a , detA=0, b=),,,(21'n b b b , X=),,,(21'n x x x ．其中A ，b 为已知，则线性方程组AX=b( )．A.无解；B.有无穷多解；C.有唯一解；D.无解或有无穷多解． 6、设A 、B ∈)(F M n ，则A 的列向量组与B 的列向量等价当且仅当( )． A.A ＝B ； B.detA ＝detB ； C.det(AB)≠0； D.秩A=秩B四、（8分）计算行列式D ＝y y x x -+-+1111111111111111．五、（8分）判断方程组⎪⎩⎪⎨⎧=+=+=+=+242131243121b x x b x x a x x a x x （其中2121b b a a +=+）是否有解，有解时求其一般解．六、（10分）证明：),(),(222g f g f =． 七、（8分）证明：秩AB ＝秩B 的充分必要条件是(AB)X=0与BX=0有相同的解．八、(8分)设 n 阶方阵 A 满足A 2=A ，证明I+A 可逆，且 (I+A)-1 = I －A ． 九、（8分）设V 是数域F 上的向量空间，()1 , λδV L ∈ 和 2λ 是δ的两个不同的本征值，i α是δ的属于i λ的本征向量，2 , 1=i ．证明：021≠+αα，但它却不再是δ的本征向量，即F ∈∀λ，()() 2121ααλαασ+≠+．十、（10分）判定二次型ơ()32312123222132128632,,x x x x x x x x x x x x -++++=是否正定．。
2017年韩山师范学院本科插班生考试《英语语法》A卷
韩山师范学院2017年本科插班生考试试卷英语 专业 英语语法 试卷（A 卷）一、Choose the correct answer （每题1分，共40分）Direction: Complete the following sentences and then blacken the corresponding letter on the ANSWER SHEET.1.______ can get a better view of the game than the participants.A. Looker-onB. Lookers-onC. Looker-onsD. Lookers-ons2. My mother cut the cloth with ______ scissors.A. aB. twoC. a couple ofD. a pair of3.______ receives only a small portion of the total amount of the sun’s energy.A . The earth’s surface B. The surface earthC. The surface of earthD. The earth surface4. Little boys are easily ______.A. taken outB. taken awayC. taken inD. taken over5. The thief ran away as fast as he could ______ the policeman.A. in sightB. within the sight ofC. within sightD. at the sight of6. Prior ______ his departure, he wrote a letter to his mother.A. ofB. fromC. toD. in7. ______ classical music, which follows formal European traditions, jazz is a spontaneous and free form.A. In comparison withB. In connection withC. In regard toD. In contrast to8. The investigators found that more should be done for ______ in India.A. the poorB. a poorC. poorD. those poor9. A man suffering from a chock should be given ______.A. hot sweet teaB. a hot sweet teaC. the hot sweet teaD. one hot sweet tea10. Under no circumstances will there be wage control while I am ______ of the government.A. the headB. headC. a headD. that head11. We have produced ______ this year as we did in 1993.A. as much cotton twiceB. as twice much cottonC. much as twice cottonD. twice as much cotton12. With the miniaturization of the structural components the weight of these electric devices has decreased ______ 30%.A. byB. withC. inD. as13. Most English people go to Spain for the sea, the sun and all the ______ things associated with a relaxing holiday.A. any b. another C. other D. some14. I cannot invited ______ of you, since I’ve got only one extra ticket.A. eitherB. bothC. someD. one15. The little baby was left alone, with ______ to look after it.A. someoneB. anyoneC. not oneD. no one16. Frank admired his friends Tom and David. He imitated ______.A. theirs every actionB. every action of theirsC. every of their actionD. every action of their one17. The modern machine proved ______ in heart surgery.A. high valuableB. highly valuableC. valuable highD. valuable highly18. Tuition at American university runs ______ one thousand dollars a semester.A. so high asB. as high toC. as high asD. as higher than19. If negotiations for the new trade agreements take ______, critical food shortages will develop in several countries.A. too much longerB. much too longC. the longestD. the longer20. Many scientists ______ their own eyes and ears than the theories of the ancients.A. would rather to believeB. will rather believeC. rather would believeD. would rather believe21. “We didn’t see him at the lecture yesterday.” “He ______ it.”A. mustn’t attendB. cannot have attendedC. would have not attendedD. needn’t have attended22. ______ that bad weather was on the way, the climbers decided to put off their attempt on Eiger until the following week.A. Having toldB. Being toldC. TellingD. Having been told23. You must follow the directions exactly and if you become ______, you must take the time to go back again and reread them.A. to confuseB. confusingC. confusedD. confuse24. What’s the use ______ extra leisure time if you don’t know what to do?A. of knowingB. to haveC. being haveD. have25. I have tried _______ worrying about it.A. to stop consciouslyB. to consciously stopC. to conscious stoppingD. to stopping consciously26. Now that you _______ , what are you going to do?A. are being returnedB. have been returningC. have been returnedD. have returned27. The little girl ______ by the drug-pusher to carry drugs into the country.A. was made useB. was made usedC. was made use ofD. was made used of28. ______ a meeting this afternoon.A. There going to beB. There will be going to beC. There is going to beD. There will going to be29. By the time the course ends,______ a lot about Britain.A. we’ll learntB. we are learningC. we have learntD. we’ll have learnt30. I suppose you’re not going today, ______?A. are youB. do youC. don’t youD. aren’t you31. ______ that this region was so rich in natural resources.A. Little he knewB. Little did he knowC. Little he did knowD. Little he had known32. ______ was wrong.A. Not the teacher but the studentsB. Both the students and the teacherC. Neither the teacher not the studentsD. Not the students but the teacher33. The Smiths ______ their breakfast when the morning post came.A. were havingB. has been havingC. are havingD. had34. Were it not for the adoption of the open policy, things ______ they are today.A. would never beB. could have beenC. would never have beenD. didn’t have35. Einstein’s theory of relativity seemed hard to believe at the time ______.A. when he first introducedB. that he first introduced itC. he first introducedD. which he first introduced it36. The time will surely come ______ ordinary people could operate computers as well.A. whileB. whenC. asD. on which37. _____ human beings depend to a great extent on forests, every effort must be made to preserve trees and wildlife.A. IfB. UnlessC. UntilD. Since38. No one has _____ been able to trace the author of the poem.A. stillB. yetC. alreadyD. just39. Will all those _____ the proposal raise their hands?A. in relation toB. in excess ofC. in contrast toD. in favor of40. I used to be able to play well but I'm _____ now.A. out of dateB. out of touchC. out of practiceD. out of place二、Correct the errors in the following sentences.（每题1分，共20分）Directions: Identify the one that would not be acceptablein standard written English. Mark out the incorrect one and correct it. And then write down your answers on the ANSWER SHEET.1. He had joined the Party for ten years before he was transferred to the city.A B C D2. Because radio communication had failed once before, I was afraid the men inA Bthe crew on the plane might be lost touch with the control tower.C D3. From the measure adopted by the committee, higher retirement age will notA Bgo into effect for two years.C D4. It is this marvelous continuity found in the human condition in any centuryA Bthat make the reading of masterpieces so fascinating.C D5. The president mentioned to the cabinet members he was going to negotiate aA B Cnew treaty with the foreign minister.D6. My brother doesn’t care how much does the car cost because he is going to buyA B C Dit anyway.7. Having finished high school, the village education board appointed him to aA B C teaching post in the primary school.D8. He sold the vegetables at half price, therefore they would go bad.A B C D9. Doctors often study film records of complex operations for improvingA B Ctheir own knowledge and skill.D10. If a crisis was to occur, those unfamiliar with the proceduresA Bwould not know how to handle the situation.C D11. The harder she tried, the more badly she danced before such a large audience.A B C D12. It was not until very recent times that had the theory of “probability” beenA B Clooked upon as hardly more than a curiosity.D13. He had trouble finding out that the capital of that country lay on the coast or inA B C Dthe mountains.14. As a result from hearing from the radio announcement, Peter has written toA Boffer himself as a member of the panel for next week.C D15. Learning a foreign language is especially difficult for those who had neverA B Clearned one before.D16. It often mistakenly supposed that the most expensive things are always the best.A B C D17. Some international students use a cassette recorder to make tapes of theirA Bclasses so that they can repeat the lecture again.C D18. To become a member of the civic association, one need only attend threeA Bmeetings and to pay his fees regularly.C D19. Thomas was a real friend, for he advised me as well as helping me with myA B C Arabic.D20. Some find swimming more enjoyable than to sit at home reading.A B C D三、Put the verbs in brackets in the correct form.（每空1分，共20分）1. The boy, who had remained silent and deep in thought on the journey home, _____(reply) in a way that shocked his father.2. For example, the proverb, “plucking a crop _____ (help) it grow”, is based on the following story.3. They use computers to keep the traffic _____ (run) smoothly.4. Up to now, the program _____ (save) thousands of children who would otherwise have died.5. The Group of Eight, or G8, _____ (form) by eight o f the world’s wealthiestnations in 1998.6. Barbara is easy to recognize as she’s the only one of the women who _____ (wear) an evening dress.7. Liuxiang was the first Asian _____ (win) the men’s 110m hurdles at the Olympics in Athens.8. When the first English settlers arrived in the New World, the Indians wearing jewelry made of animal bones ___(greet) them warmly.9. Do you believe that there is a _____ (connect) between smoking and heart disease?10. She stared at the painting, wondering where she _____ (see) it.11. By the end of next year they _______(complete) the task.12. A good deal of British car manufacture _______ (closely tie with) the continental industry.13. He held out a suggestion that the working part ________ (machine) in a more efficient way.14. Part of the light _______ (strike) the surface will be reflected from it.15. ____(remind) not to miss the flight at 15:30, the manager set out for the airport in a hurry.16. They ______(build) a new bridge over the river since May.17. Their letters ______ (not arrive) when they ______(leave) home this morning.18. She _________ (not want) to stay in bed while the others _________ (all,四、Fill in the blanks with proper prep., adv.,determiner, coordinator or subordinator.（每空1分，共10分）1.Mr. Brown showed his dissatisfaction ______your delay.2.The two companies are completely independent. There is no connection______ them.3.Don’t blame him for this; I am responsible ______that has happened.4.We managed to keep the fire in check, but we couldn’t put it _____.5.Medical research has shown that the widespread use of cigarettes contributes______the increase of cancers.6.He decided to make further improvements on the computer’s design ______the light of the requirements of customers.7.Finding a job in such a big company has always been ______ his wildestdreams.8.He was not conscious ______ what an important discovery he had made.9.He stood there with his back _______ the wall.10.That mountain is about two thousand feet _____ sea level.五、Rewrite the following sentences according to therequirements. （每题1分，共10分）1. Combine the sentence by using infinitive “to”She is so excited that she can’t utter one word.2. Use “there be” structure to rewrite the following sentence:Three accidents have occurred at this crossroads this week.3. Rewrite the following sentence with anticipatory “it”:How she came to have such a valuable painting is a mystery.4. Rewrite the given situation into subjunctive mood:I did not bring enough money with me, so I can’t take a taxi now.5. Put the following sentence into indirect speech:“I’ll be waiting for you in the office tonight,” David said.6. Join the sentences by changing the second into a non-restrictive attributive clause:The postman came to the back door. He is new in the district.7. Rewrite the following sentence so that it contains an adverbial clause.Hearing the news they immediately set off for Shanghai.8. Rewrite the underlined parts by using inversion.A temple stands at the foot of the mountain.9. Rewrite the underlined sentence with the emphasized pattern “it is …that/who/which”.She didn’t know her mother was ill in bed until she came home from work.10. Combine the following sentences by using an absolute construction (独立主格结构)There was no way for me to cross. I walked upstream on the south side.。
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韩山师范学院2017年本科插班生考试试卷
数学与应用数学 专业 高等代数 试卷(A 卷)
一、填空(每空3分,共30分)
1.设A 、B 都就是 n 阶方阵,AB = I ( I 为单位矩阵) ,则BA = .
2、 设1123A -⎫
⎛=⎪ -⎝⎭ ,则A 的特征多项式为 、 3.多项式32()325f x x x x =--+的三个根之与等于 . 4、 已知n 元实二次型12(,,
,)n q x x x 的秩为3, 符号差为1、 则此实二次型的
典范形式为 .
5.四阶行列式
1
25
2381
3
1241
4
2
5
------=
6.设1
23A ⎫⎛⎪ =⎪
⎪⎝
⎭, 那么312(2)(3)T AD = 、 7、 二次型222
12312
31223(,,)3224q x x x x x x x x x x =+-+-的矩阵A = 、
8、 一个向量空间V 的基所含向量的个数叫做V 的 、
9.设A = { a , b },B = { 1, 2, 3, 4 },C = { x , y , z },f 、g 分别就是A 到B 、B 到C 的映射: f :a → 1,b → 3、 g :1 → x ,2 → y ,3 → z ,4 → z 、 则合成映射
g f : .
10、 已知12323ξααα=++,12322ηααα=-++,其中123,,ααα就是欧氏空间V 的规范正交基,则内积,ξη= . 二、就是非题(每题3分,共30分。
您认为正确的,在题后括号内打“√”,错误的打“×”。
)
1.若矩阵A 的秩为r ,由A 添加1行得到B ,再由B 添加1列得到C ,那么C 的秩为r +2、 ( )
2.若()()f x h x 且()()g x h x ,则()()()f x g x h x 、 ( ) 3、 多项式()f x 有重根当且仅当()f x 有重因式、 ( ) 4.设A , B 都就是n 阶方阵, 则det ( A +B ) = det A + det B . ( ) 5.设A 、B 都就是n 阶方阵,那么秩(AB ) ≤秩A . ( ) 6
、
实
数
集
R
不
就
是
数
域
、
( )
7.若A ,B 都就是n 阶正交矩阵,则AB 也就是正交矩阵. ( ) 8.线性变换变线性无关组为线性无关组. ( ) 9、 奇排列经过奇数次对换就变成奇排列、 ( ) 10. 实对称矩阵的特征根都就是实数. ( ) 三、证明题(共10分)
设F 就是数域,(),()[]f x g x F x ∈,且()|()g x f x 、 证明:()g x 的根都就是()f x 的根、
四、证明题(共10分)
设A就是一个幂等矩阵(若2A A
,则称A就是幂等
矩阵), 而B与A相似、证明:B就是幂等矩阵、
五、证明题(共10分)
设12,W W 就是向量空间V 的两个子空间, 证明
12W W 也就是V 的子空间、
六、计算题(共10分)
求线性方程组
123412341234
21,21,25 5.x x x x x x x x x x x x -++=⎧⎪
-+-=-⎨⎪-++=⎩ 的一般解、。