高等数学(A2)期末试题参考答案

We will continue to improve the companys internal control system, and steady improvement in ability to manage and control, optimize business processes, to ensure smooth processes, responsibilities in place; to further strengthen internal controls, play a control post independent oversight role of evaluation complying with third-party responsibility; to actively make use of internal audit tools detect potential management, streamline, standardize related transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication zero resistance. To constantly perfect ERP, and BFS+, and PI, and MIS, and SCM, information system based construction, full integration information system, achieved information resources shared; to expand Portal system application of breadth and depth, play information system on enterprise of Assistant role; to perfect daily run maintenance operation of records, promote problem reasons analysis and system handover; to strengthening BFS+, and ERP, and SCM, technology application of training, improve employees application information system of capacity and level. Humanistic care to ensure zero. To strengthening Humanities care, continues to foster company wind clear, and gas are, and heart Shun of culture atmosphere; strengthening love helped trapped, care difficult employees; carried out style activities, rich employees life; strengthening health and labour protection, organization career health medical, control career against; continues to implementation psychological warning prevention system, training employees health of character, and stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. To strengthen risk management, ensure that the business of zero risk. To strengthened business plans management, will business business plans cover to all level, ensure the business can control in control; to close concern financial, and coal electric linkage, and energy-saving scheduling, national policy trends, strengthening track, active should; to implementation State-owned assets method, further specification business financial management; to perfect risk tube control system, achieved risk recognition, and measure, and assessment, and report, and control feedback of closed ring management, improve risk prevention capacity. To further standardize trading, and strive to achieve according to law, standardize and fair. Innovation of performance management, to ensure that potential employees zero fly. To strengthen performance management, process control, enhance employee evaluation and levels of effective communication to improve performance management. To further quantify and refine employee standards . Work, full play party, and branch, and members in five type Enterprise construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening four good leadership construction, full play levels cadres in enterprise development in the装订线此处不能书写此处不能书写此处不能书写此处不能书写此处不能书写此处不能书写此处不能书写高等数学A2参考答案一、选择、填空题设向量则1 设是可导的函数,其中则2 曲面上点处的切平面方程为3 设为圆周则4 设数项级数收敛,则5 函数在处沿哪个方向的方向导数最大,其最大值是( B )A ; B ; C ; D .7化二次积分为极坐标系下二次积分为( A )A; B;C; D.8第一类曲面积分其中A ; B; C ; D .9级数 ( C )A 绝对收敛; B 条件收敛; C 发散; D 敛散性不确定.10设函数是周期为的周期函数,且它在上的表达式为记为函数展开的傅里叶级数的和函数,则分别为( C ).A ; B ; C ; D .二、解答下列各题（每小题6分,共18分）1设求 解: 2设其中求 解: 3设函数设是由方程所确定的隐函数,求 解:法一:令则法二:方程两边同时对求导得 三、解答下列各题（每小题7分,共28分）1交换积分次序并计算二次积分解: 2计算三重积分其中是由旋转抛物面与平面所围空间立体区域.解： 法一: 法二: 投影区域3证明曲线积分在面内与路径无关,并计算的值.解: 因为则 所以曲线积分在面内与路径无关.法一：又因为 法二： (如上图)4计算其中是锥面在部分的下侧.解:法一:曲面 所以 法二:补面 取上侧.则构成了闭合曲面,由Gauss公式得 又因为 所以 四、解答下列各题（第1、2小题每小题6分,第3小题7分，第4小题5分，共24分）1判断级数的敛散性,若收敛,是绝对收敛还是条件收敛？解：因为 所以 由比值审敛法知道, 所以级数 收敛.即级数绝对收敛.2将函数展开成的幂级数.解：由于所以3求幂级数的收敛区间以及和函数,并计算解: 该幂级数的系数 所以 即收敛半径收敛区间为 又 则 所以 4利用二重积分证明无穷积分解:记则又因为 所以仿佛顷刻间，亚运就来到了我们身边。一个普通的人，很难想象它背后隐藏着多少人的心血，藏匿着多少人的汗水，背负着多少人的梦想，寄托了多少人的祝愿，在这个激动人心的时刻，在这个万众瞩目的地方of backbone backbone role; to full strengthening members youth work, full play youth employees in company development in the of force role; to improve independent Commission against corruption work level, strengthening on enterprise business key link of effectiveness monitored. , And maintain stability. To further strengthen publicity and education, improve the overall legal system. We must strengthen safety management, establish and improve the education, supervision, and evaluation as one of the traffic safety management mechanism. To conscientiously sum up the Olympic security controls, promoting integrated management to a higher level, higher standards, a higher level of development. Employees, today is lunar calendar on December 24, the ox Bell is about to ring, at this time of year, we clearly feel the pulse of the XX power generation company to flourish, to more clearly hear XX power generation companies mature and symmetry breathing. Recalling past one another across a railing, we are enthusiastic and full of confidence. Future development opportunities, we more exciting fight more spirited. Employees, let us together across 2013 full of challenges and opportun