2016哈尔滨职业技术学院单招数学模拟试题(附答案)
篇一:哈尔滨职业技术学院官网打不开
考单招——上高职单招网
2016哈尔滨职业技术学院单招数学模拟试题(附答案)
一、选择题
(1)设集合M={4,5,6,8},集合N={3,5,7,8}那么M∪N=
(A){3,4,5,6,7,8} (D){4,5,6,8} (B){5,8} (C){3,5,7,8}
(2)函数f(x)=1+log2x与g（x）=2-x+1在同一直角坐标系下的图象大致是
(3)某商场买来一车苹果，从中随机抽取了10个苹果，其重量（单位：克）分别为：
150，152，153，
149，148，146，151，150，152，147，由此估计这车苹果单个重量的期望值是
(A)150.2克
(D)147.8克 (B)149.8克 (C)149.4克
(4)如图，ABCD-A1B1C1D1为正方体，下面结论错误的是 ．．
(A）BD∥平面CB1D1 (B)AC1⊥BD
(C)AC1⊥平面CB1D1 (D)异面直线AD与CB所成的角为60°
x2y2（5）如果双曲线＝1上一点P到双曲线右焦点的距离是2,那么点P到y轴的42
距离是 (A)
46 3 (B)26 3 (C)2 (D)2
（6）设球O的半径是1，A、B、C是球面上三点，已知A到B、C两点的
考单招——上高职单招网 球面距离都是，且二面角B-OA-C的大小是，则从A点沿球面经B、C 23
两点再回到A点的最短距离是 (A)7 6 (B)45 (C) 34 (D)3 2
（7）等差数列{an}中，a1=1,a3+a5=14，其降n项和Sn=100,则n=
(A)9 (D)12 (B)10 (C)11
(8)设A（a,1）,B(2,b),C(4,5)为坐标平面上三点，O为坐标原点，若OA与OB在OC方向上的投影相同，则a与b满足的关系式为
A.4a-5b=3 B.5a-4b=3 C.4a+5b=14 D.5a+4b=12
(9)用数字1，2，3，4，5可以组成没有重复数字，并且比20 000大的五位偶数共有
A.48个 B.36个 C.24个 D.18个
(10)已知抛物线y-x2+3上存在关于直线x+y=0对称的相异两点A、B，则|AB|等于 A.3 B.4 C.3 D.4
（11）某公司有60万元资金，计划投资甲、乙两个项目，按要求对项目甲的投资不小于对项目乙投资的2倍，且对每个项目的投资不能低于5万元，对项目甲每投资1万3
元可获得0.4万元的利润，对项目乙每投资1万元可获得0.6万元的利润，该公司正确提财投资后，在两个项目上共可获得的最大利润为
A.36万元 B.31.2万元 C.30.4万元 D.24万元
(12)如图，l1、l2、l3是同一平面内的三条平行直线，l1与l2与l3同的距离是2， 正三角形ABC的三顶点分别在l1、l2、l3上，则△ABC的边长是 A.2 B.4637221 C. D. 343
二、填空题：本大题共4小题，每小题4分，共16分，把答案填在题横线上.
考单招——上高职单招网
1（13）.x的展开式中的第5项为常数项，那么正整数n的值是. x
三、解答题：本大题共6小题。共74分，解答应写出文字说明。证明过程或运算步骤
（17）（本小题满分12分）
厂家在产品出厂前，需对产品做检验，厂家对一般产品致冷商家的，商家符合规定拾取一定数量的产品做检验，以决定是否验收这些产品.
（Ⅰ）若厂家库房中的每件产品合格的概率为0.3，从中任意取出4种进行检验，求至少要1件是合格产品的概率.
(Ⅱ)若厂家发给商家20件产品，其中有3件不合格，按合同规定该商家从中任取2件，来进行检验，只有2件产品合格时才接收这些产品，否则拒收，分别求出该商家计算出不合格产品为1件和2件的概率，并求该商家拒收这些产品的概率。
（18）（本小题满分12分）
已知cosα=1π13,cos(α-β)＝，且0<β<α<, 7214n
(Ⅰ)求tan2α的值；
（Ⅱ）求β.
(19) (本小题满分12分)
如图，平面PCBM⊥平面ABC,∠PCB=90°,PM∥BC,直线AM与直线PC所成的角为60°，又AC=1,BC=2PM=2,∠ACB=90°
(Ⅰ)求证：AC⊥BM;
(Ⅱ)求二面角M-AB-C的大小；哈尔滨职业技术学院官网打不开。
考单招——上高职单招网
（Ⅲ）求多面体PMABC的体积.
（20）(本小题满分12分)
设函数f（x）=ax3+bx+c（a≠0）为奇函数，其图象在点（1,f（1））处的切线与直线x－6y－7=0垂直，导函数f＇（x）的最小值为－12.
（Ⅰ）求a，b，c的值；
（Ⅱ）求函数f（x）的单调递增区间，并求函数f（x）在〔－1,3〕上的最大值和最小值.
（21）(本小题满分12分)
x2
y21的左、右焦点. 求F1、F2分别是横线4225（Ⅰ）若r是第一象限内该数轴上的一点，PF1PF2，求点P的作标； 4
（Ⅱ）设过定点M（0，2）的直线l与椭圆交于同的两点A、B，且∠ADB为锐角（其中O为作标原点），求直线l的斜率k的取值范围.
（22）(本小题满分14分)
已知函数f（x）=x2－4，设曲线y＝f（x）在点（xn，f（xn））处的切线与x轴的交点为（xn+1,u）（u,N +），其中为正实数.
（Ⅰ）用xx表示xn+1；
x2（Ⅱ）若a1=4，记an=lgn，证明数列｛a1｝成等比数列，并求数列｛xn｝的通项公式； xn2
（Ⅲ）若x1＝4，bn＝xn－2，Tn是数列｛bn｝的前n项和，证明Tn<3.
(含详细解析)
考单招——上高职单招网
一、选择题：本大题共12小题，每小题5分，共60分．
1、设集合M{4,5,6,8}，集合N{3,5,7,8}，那么MN（ ）哈尔滨职业技术学院官网打不开。
（A）{3,4,5,6,7,8}
（D）M{4,5,6,8} （B）{5,8} （C）{3,5,7,8}
解析：选A．
2、函数f(x)1log2x与g(x)2x1在同一直角坐标系下的图象大致是（ ）
解析：选C．
3、某商场买来一车苹果，从中随机抽取了10个苹果，其重量（单位：克）分别为：150，152，153，149，148，146，151，150，152，147，由此估计这车苹果单个重量的期望值是（ ）
（A）150.2克 （B）149.8克 （C）149.4克 （D）
147.8克
解析：选Ｂ．
4、如图，ABCDA的是（ ） 1BC11D1为正方体，下面结论错误．．
（A）BD//平面CB1D1
（B）AC1BD
（C）AC1平面CB1D1
（D）异面直线AD与CB1所成的角为60°
解析：选Ｄ．
【哈尔滨职业技术学院排名】哈尔滨职业技术学院特色专业-哈尔滨职业技术学院录取分数线
篇二:哈尔滨职业技术学院官网打不开
业技术学院录取分数线
哈尔滨职业技术学院是哈尔滨市政府创办的一所主要面向装备制造业和现代服务业的综合性高等职业院校。是哈尔滨市政府确定的振兴东北老工业基地人才培养基地之一。 建院十年来，学院以专业建设为重点，以人才培养模式创新和课程改革为突破点，不断加强内涵建设，提高人才培养质量，累计向行业企业生产、建设、服务和管理第一线输送高职生1.6万人。为省市经济社会发展提供了重要的技能型人才和智力支撑。多次获得省级“文明单位标兵”、“职业教育先进单位”、“教育系统先进集体”、“普通高等学校学生工作先进集体”、“就业工作先进集体”等荣誉称号。2006年被评定为省级示范性高等职业院校建设单位。2007年通过教育部高职高专人才培养工作水平评估，获得优秀成绩。2010年被教育部、财政部批准为国家骨干高职院校建设单位。 学院育人环境优越。占地面积近90万平方米，建筑面积22.53万平方米，固定资产
3.36亿元，教学仪器设备总值4981万元，图书67.6万册。有48个校内实验实训室，9个校内实训基地，包括3个中央财政支持的职业教育实训基地，12个校内生产性实训车间。建有安全畅通的千兆校园网络，1600余个网络端口覆盖教学、办公和学生生活区域。 学院下设建筑工程、机械工程、电气工程、会计金融、现代服务、电子与信息工程、艺术与设计等7个二级学院，共开设50个专业。现有全日制高职在校生7838人。电气自动化技术、道路桥梁工程技术、模具设计与制造、焊接技术与自动化、机械制造与自动化、软件技术等6个专业被确定为中央财政支持的重点建设专业，物流管理等9个专业被确定为省级重点建设专业。有国家级精品课1门，省级精品课12门。 学院坚持走“共建、共育、共赢”的开放办学之路，与哈尔滨电气集团、哈尔滨轴承集团、哈飞集团、九洲电气等229家企业签订了长期校企战略合作协议，建立起紧密的校企合作关系，形成了“顶岗实习与就业一体化”、“校企双主体联合培养”、“服务企业”、“订单培养”等校企合作模式，创新完善多样化“校企合作、工学结合、顶岗实习”人才培养模式，全面落实顶
岗实习制度，实现校企双方合作办学、合作育人、合作就业、合作发展的有机联动。 学院师资力量雄厚。有专任教师367人，其中教授43人，副教授或高级工程师167人，双师素质教师223人，省级优秀教学团队3个，省级教学名师10人，教育部专业教学指导委员会委员3人，省级专业教学指导委员会副主任委员及委员20人。院长王长文博士是哈尔滨市唯一荣获全国“黄炎培杰出校长奖”的高职院校校长。学院还拥有一支由207名行业企业技术骨干、能工巧匠组成的优秀兼职教师队伍。学院建立起校企“双带头人、双骨干教师、双向培养、双向聘任”机制，正在深入实施“师德培育工程”、“教育教学能力提升工程”、“教师实践锻炼工程”和“教师科研能力提升工程”，努力打造一支“德高、善教、会做、能研发”的教师团队。 学院实行以“出口畅”保“入口旺”的就业优先可持续发展战略。多年以来，毕业生就业率保持在90%以上，专业对口率保持在80%以上，用人单位满意率保持在97%以上，就业质量居黑龙江省同类院校前5名。学院大力促进学生就业创业，每年举办“金点子”创业大赛，职业生涯规划大赛等多个就业、创业教育活动。组织学生参加各级各类技能大赛，共有141名学生在国家级、省级各类技能竞赛中获得50多个奖项。 学院严格执行国家奖、助学金政策，学院通过银行协助为符合条件的贫困学生办理助学贷款，贫困考生经资格认定后每年可获得5000元助学贷款。同时设立助学金、奖学金制度。新生入学后，在确认贫困生资格认定后，当年可以享受如下资助政策： (一)国家级助学金，一等3000元，二等2000元，三等1000元。 (二)院级助学金，一等1200元，二等600元，三等200元。 (三)学习优秀的学生可以享受院级奖学金，一等1600元，二等1000元，三等600元。 (四)在二年级时，学习优秀的学生可以享受国家级奖学金，每年8000元。 (五)学习优秀的贫困学生可以享受国家级励志奖学金，每年5000元。 学生毕业前可按相关政策参加专科升本科考试，录取后进入本科院校学习。 照顾政策： 一、对报考模具设计与制造、焊接技术及自动化专业的考生在经济上给予一定的照顾。 1、报考上述专业的考生每年减免学费20%; 2、对符合贫困生资助条件的家庭贫困考生每年减免50%学费; 3、高中阶段获校级以
上(含校级)三好学生和优秀学生干部的考生每年减免学费50%。 在就业安排上向模具设计与制造、焊接技术及自动化专业毕业生倾斜，即在国有大企业招聘时优先推荐本专业毕业生，在报名应聘的各类相近专业毕业生中优先分配本专业毕业生。 二、报考以上所有专业且有文体特长的考生在学费上予以
优惠，且在就业上予以倾斜。
哈尔滨职业技术学院招生网站:
2014年哈尔滨职业技术学院招聘进入面试人员公示
篇三:哈尔滨职业技术学院官网打不开
2014年哈尔滨职业技术学院招聘进入面试人员公示
根据《哈尔滨职业技术学院公开招聘工作人员公告》要求，哈尔滨职业技术学院公开招聘工作人员笔试工作已经结束，现将入围人员名单及面面试时间、地点、要求公布如下：
一、入围人员名单
王微微、林凯、陈永生、高鑫欣、孙晓梅、赵佳华、张麟、刘立栋、张帆、魏靖琳、王壬禹、陈琳、韩东阳、金明、王彬、张玉龙、刘永智、刘俊涛、陶海军、苏英健、鲍慧颖、时光、付佳枫
二、面试时间、地点及要求
1.面试时间：2014年3月1日至3月2日。
2.面试地点：哈尔滨职业技术学院(香坊区哈平路217号)1号教学楼。
3.要求：请参加面试的考生携带本人身份证原件和准考证(笔试时使用的)，按时到面试地点集中抽签排序，迟到15分钟的考生视为放弃弃，取消面试资格。
参加面试的考生分为二组：
第一组：2014年3月1日(周六)上午8:00分到哈尔滨职业技术学院1号教学楼集中抽签排序，人员名单如下：
王微微、林凯、陈永生、高鑫欣、孙晓梅、赵佳华、张麟、刘立栋、张帆、魏靖琳、王壬禹、刘俊涛、陶海军、苏英健、鲍慧颖、时光、付佳枫
第二组：2014年3月2日(周日)上午8:00分到哈尔滨职业技术学院1号教学楼集中抽签排序，人员名单如下：
陈琳、韩东阳、金明、王彬、张玉龙、刘永智
哈尔滨职业技术学院
黑河中公教育官方微博：
2016哈尔滨职业技术学院单招英语模拟试题及答案
篇四:哈尔滨职业技术学院官网打不开
考单招——上高职单招网
2016哈尔滨职业技术学院单招英语模拟试题及答案
第一部分：英语知识（共三节，满分50分）
第一节 语音知识（共5小题；每小题1分，满分5分）
从A、B、C、D四个选项中，找出其划部部分与所给单词的划线部分读音相同的选项，并在答题卡上将该项涂黑。 第二节 语法和词汇知识（共15小题；每小题1分，满分15分）
6. My aunt, as easy – going old lady, did give us surprise when she lost her temper
at the family party yesterday.
A. an; a
B. the; a
C. an; 不填
D. 不填；a
7. --- It is Saturday afternoon. Why are you burying yourself in your homework? --- I’m doing it so that I won’t have the day after tomorrow.
A. one
B. to
C. that
D. it
8. Heice cream on the beach if his father last year, leaving nothing but debts (欠债).
A. were to be selling…should die
B. would be selling…had not died
C. would not be selling…had not died D. would not be selling…had died
9. --- I left my new textbook on the desk near the window, but now it’s gone. --- Who do you think it?
A. to have taken
B. has taken
C. took
D. having taken
10. How long do you guess it is they reached the resort?
A. since
B. after
C. before
D. when
11. --- Goods imported from abroad are those made in China.
考单招——上高职单招网
--- Yes. Some of the goods made in our country are of high quality.
A. not always better than C. not so well as
B. always no better than D. always as good as
12. --- What did you do last Sunday, Peter?
--- Well, I to see a friend of mine, but in the end Iat home doing nothing. A. was going; stayed stayed
C. went; was staying
B. would go; had D. had gone; stayed
13. All at once the light and we had to feel our way downstairs.
A. took off
B. turned off
C. went out
D. put out
14. --- You ought to have given them some advice. --- , but who cared what I said?
A. So I ought
B. So ought I
C. So I did
D. So did I
15. I don’t remember how many years ago people began to grow crops.
A. it was when B. it was that
C. was it when
D. was it that
16. The river beyond our school has become clean again as new measures are to
prevent it any further. A. taken; polluting B. taking; being polluted C. taken; being polluted D. taking; to be polluted
17. No matter how frequently , the works of Shakespeare always attract large
audiences.
A. performed B. performing C. being performed D. to be performed
18. They were next – door neighbors for several years, during time they met only twice.
A. which
B. that
C. what
D. same
19. The fact puzzled Jenny much she has been unable to pass the driving test up to now.
A. why
B. because
C. how
D. that
20. To master a foreign language like English requires hard work, so you study too hard.
考单招——上高职单招网
A. ought to
B. should
C. can’t
D. mustn’t
第三节 完形填空（共20小题；每小题1.5分，满分30分）
E – Books for students and Teachers
Next week, I am going to some meetings near Seattle, Washington. They will be – book project they plan to start in the future. Today, several companies on the Internet (Microsoft included) will offer to 原稿，手稿will be printed “on demand”I had a book with one of these on –Internet outlet (经销店) like Amazon.com or Barners and Noble.com. Amazon would notify (通报) the on –“individualized”break –– line system doesn’“Prints on Demand”publishers won’– book, which then displays the text on a screen. I am told that the e – book may read the text to you A friend e –He is writing to all of his friends in education to tell them they can look at the book on the Internet. Other sites are and netlibrary. com. 21. A. on 22. A. buy 23. A. to 24. A. that 25. A. at a time
time 26. A. get
27. A. which would 28. A. that 29. A. possible 30. A. writers 31. A. all
B. in B. publish B. or B. who
C. of C. print C. but C. which
D. with D. sell D. except D. this哈尔滨职业技术学院官网打不开。
C. at time D. in on D. take D. who must D. who D. book sellers D. book sellers D. any
B. at the same time B. order B. which must B. which B. able B. publishers B. each
C. place C. who would C. it C. works C. printers C. every
考单招——上高职单招网
32. A. lose 33. A. at all 34. A. that 35. A. any 36. A. by 37. A. loud 38. A. pop 39. A. that day 40. A. were
B. collect B. in all B. then B. no B. from B. loudly B. soft
B. the other day B. have been
C. give C. after all C. or C. a lot C. at C. aloud C. classic C. some day C. is
D. make D. above all D. so D. all the D. of D. louder D. background D. the next day D. had been
第二部分：阅读理解（共25小题。第一节每小题2分，第二节每小题1分；满分45分）
第一节 阅读下列五篇短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项。
A
Mr. Peter Johnson, aged twenty three, battled for half an hour to escape from his trapped car yesterday when it landed upside down in three feet of water, Mr Johnson took the only escape route – through the boot (行李箱).
Mr. Johnson’s car had finished up in a ditch (沟渠) at Romeney Marsin, Kent after slipping on ice and hitting a bank. “Fortunately, the water began to come in slowly,” Mr. Johnson said. “I couldn’t force the doors because they were jammed against the walls of the ditch and dared not open the windows because I knew water would come flooding in.”
Mr. Johnson, a sweet salesman of Sittingborrne, Kent, first tried to attract the attention of other motorists by sounding the horn and hammering on the roof and boot. Then he began his struggle to escape. Later her said, “It was really a
halfpenny with saved my life.” It was the only coin I had in my pocket and I used it to unscrew the back seat to get into the boot. I hammered desperately with a hammer trying to make someone hear, but no help came.
It took ten minutes to unscrew the seat – and a further ten minutes to clear the sweet samples (货样) from the boot. Then Mr. Johnson found a wrench(扳手) and began to work on the boot lock. Fifteen minutes passed. “It was the only chance I in. I forced the lid down into the mud and scrambled (爬) clear as the car filled up.”
考单招——上高职单招网
His hands and arms cut and bruised (出现伤痕), Mr. Johnson got to Beckett Farm nearby, where he was looked after by the farmer’s wife, Mrs. Lucy Bates. Huddled (卷缩) in a blanket, he said, “That night the car had sunk into two feet of mud at the bottom of the ditch…”
41. What is the best title for this newspaper article?
A. The Story of Mr. Johnson a Sweet Salesman B. Driver Escapes Through Car Boot
C. Car Boot Can Serve As the Escape Route a Terrible Car Accident
D. The Driver Survived
42. Which of the following objects is the most important to Mr. Johnson?
A. The hammer.
B. The coin.
C. The screw.
D. The horn.
43. The underlined part “Finally it gave” means that .
A. luckily the door was torn away in the end
went broken
B. at last the wrench
C. the lock came open after all the efforts D. the chance was lost at the last
minute
44. It may be inferred from the passage that .
A. the ditch was along a quiet country road B. the accident happened in a clear warm day C. the police helped Mr. Johnson get out of the ditch D. the accident was partly due to Mr. Johnson’s carelessness
B
If you are in a town in a western country, you’ll often see people walking with their dogs. It is still true that a dog is the most useful animal in the world. But the reason why one keeps a dog has changed. Once upon a time, a man met a dog and wanted it to help him in the fight against other animals, and he found that the dog listened to him and did what he told him to. Later people used dogs for hunting other animals, and the dogs didn’t eat what they got until their master agreed. So dogs were used for driving sheep and guarding chicks. But now the people in the towns and cities do not need dogs to fight other animals. Of course they keep them to frighten thieves, but the most important reason is that people feel lonely in the city. For a child, a dog is his best friend when he has no friends to play with. For a young wife, a dog is her child when she doesn’t, have her own. For old people, a dog is also a child when their real children have grown up and left. Now people do not have to use a dog, but they keep it as a friend, just like a member of the family.
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