2016年山东省专升本统一考试高等数学真题试卷

考试时间：120分钟总题数：21道试卷类型：混合

若本套试卷含有主观题，针对主观题请自行参考解析评分

单项选择题(共5道题，每道题分)

[单选题]一、【单项选择题】<img src="/VOD/UF/image/20190807/6370078917878965057156661.png" title="image.png" alt="image.png"/>

回答：参考答案：3

解析：<img src="/VOD/UF/image/20190807/6370078920125840055824294.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370078921052402553960946.png" title="image.png" alt="image.png"/>

[单选题]<img src="/VOD/UF/image/20190807/6370079029605527552824579.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079030488340052560642.png" title="image.png" alt="image.png"/>

回答：参考答案：2

解析：<img src="/VOD/UF/image/20190807/6370079032108652555978762.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079033241465056284394.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079035328965052940298.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079036086777552391576.png" title="image.png" alt="image.png"/>

[单选题]<img src="/VOD/UF/image/20190807/6370079039297715057381296.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079041207090059081838.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079042293027559230219.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079043130527553038276.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079043902402558447278.png" title="image.png" alt="image.png"/>

回答：参考答案：1

解析：<img src="/VOD/UF/image/20190807/6370079045069590056181683.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079046911777557253925.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079048791465057511602.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079049941465056531621.png" title="image.png" alt="image.png"/>

[单选题]<img src="/VOD/UF/image/20190807/6370079054213340056212764.png" title="image.png" alt="image.png"/>

回答：参考答案：4

解析：<img src="/VOD/UF/image/20190807/6370079055450840056332132.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079056296152552584588.png" title="image.png" alt="image.png"/>

[单选题]<img src="/VOD/UF/image/20190807/6370079059078965053049377.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079060255527556053770.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079061077402554376686.png" title="image.png" alt="image.png"/>

回答：参考答案：1

解析：<img src="/VOD/UF/image/20190807/6370079062803965056135959.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079064366465055195767.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079065861777553627274.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079066743027559134092.png" title="image.png" alt="image.png"/>

多项选择题(共0道题，每道题分)

判断题(共0道题，每道题分)

问答题(共16道题，每道题分)

[问答题]二、【填空题】<img src="/VOD/UF/image/20190807/6370079074139902552636679.png" title="image.png" alt="image.png"/> <img src="/VOD/UF/image/20190807/6370079074828965052932240.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079076686777558489623.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079077961777557794426.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079078639902553888926.png" title="image.png" alt="image.png"/>

[问答题]<img src="/VOD/UF/image/20190807/6370079081513340057209727.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079082463340057574090.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079083699277559166041.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079084807090054014716.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079085736777553908030.png" title="image.png" alt="image.png"/>

[问答题]<img src="/VOD/UF/image/20190807/6370079088344590052174121.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079089696152553079040.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079096880527558495666.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079090593027554070999.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079091752402554062833.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079092935215056282379.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079093763340058118621.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079094480527556627801.png" title="image.png" alt="image.png"/>

[问答题]<img src="/VOD/UF/image/20190807/6370079098289902559057069.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079099064902557222734.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079100275840057655900.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079101363340052033526.png" title="image.png" alt="image.png"/>

[问答题]<img src="/VOD/UF/image/20190807/6370079103541465056247269.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079104285215058740824.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079105263340057318806.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079106218027553669077.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079107464902554760261.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079108560215055880458.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079109377402558217466.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079110344590057296215.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079111260215051231806.png" title="image.png" alt="image.png"/>

[问答题]三、【解答题】<img src="/VOD/UF/image/20190807/6370079177300840058540187.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079179841465051879806.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079181582090054894975.png" title="image.png" alt="image.png"/>

[问答题]<img src="/VOD/UF/image/20190807/6370079182771152556329674.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079183893027552434245.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079185094590056597423.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079186146152555018859.png" title="image.png" alt="image.png"/>

[问答题]<img src="/VOD/UF/image/20190807/6370079188135215055374352.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079190469590059843162.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079191338340053621501.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079192855527555753303.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079194097715051858579.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079194880527556766814.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079195938340058701575.png" title="image.png" alt="image.png"/>

[问答题]<img src="/VOD/UF/image/20190807/6370079197894590051559369.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079199594590053632440.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079200796152557795617.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079219160215059457896.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079220957090054602132.png" title="image.png" alt="image.png"/>

[问答题]<img src="/VOD/UF/image/20190807/6370079225677402554981083.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079227314902552411762.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079228089902559577427.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079228564902555259608.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079229961777553092534.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079230763340055242573.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079231585215053565488.png" title="image.png" alt="image.png"/>【点评】一般来说，题目给出的二重积分如果以二次积分的形式出现，往往是无法按照其积分次序直接进行积分计算的，需要改变积分次序或者使用坐标变换法。变换积分次序时需要先根据已有积分次序写出积分区域D所对应的集合，并根据集合画出积分区域的图形,再根据图形转换积分区域的类型，从而变换积分次序。

[问答题]<img src="/VOD/UF/image/20190807/6370079235836777557477411.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079237853965051748351.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079238763340055468789.png" title="image.png" alt="image.png"/>

[问答题]<img src="/VOD/UF/image/20190807/6370079241050840059780347.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079242425840053912978.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079243658652553748266.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079244505527552826311.png" title="image.png" alt="image.png"/>

[问答题]四、【证明题】<img src="/VOD/UF/image/20190807/6370079277625840051308330.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079279288340054195965.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079280688340053785553.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079282394590055073777.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079283250840055123638.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079283938340052189953.png" title="image.png" alt="image.png"/>

[问答题]<img src="/VOD/UF/image/20190807/6370079285627402554763791.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079286371152552959173.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079287232090057994942.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079288744590055140836.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079290114902553287559.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079291391465055821608.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079292960215058394741.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079293647715055461056.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079295555527553932353.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079296264902554698963.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079297268027558733902.png" title="image.png" alt="image.png"/>

[问答题]五、【应用题】<img src="/VOD/UF/image/20190807/6370079367871152558638751.png" title="image.png" alt="image.png"/> <img src="/VOD/UF/image/20190807/6370079368633652554075937.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079371461777551468732.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079373130527557869693.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079374144590057105694.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079376739902552643306.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079378894590058927510.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079380111777558575828.png" title="image.png" alt="image.png"/>

[问答题]<img src="/VOD/UF/image/20190807/6370079398925840059463332.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079400968027559191230.png" title="image.png" alt="image.png"/>

解析：<img src="/VOD/UF/image/20190807/6370079402430527554423210.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079403530527551529314.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079404932090054348148.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079406589902552249875.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079407885215052025727.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079409868027557867895.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079410872715056132080.png" title="image.png" alt="image.png"/><img src="/VOD/UF/image/20190807/6370079412124277553209172.png" title="image.png" alt="image.png"/>

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答题卡0/21

单项选择题(共5道题，每道题分。)

多项选择题(共0道题，每道题分。)

判断题(共0道题，每道题分。)

问答题(共16道题，每道题分。)