CAJ | 학술논문

正确地计算第二类曲面积分既是本科生必须熟练掌握的也是全国硕士研究生入学考试的重要内容之一。但是，大部分学员在计算第二类曲面积分时经常出错。学员解题过程中经常出现的错误类型归纳起来主要有四种：一是找错积分曲面；二是不注意曲面的侧；三是误用对称性；四是错用高斯公式。文中就各种错误类型给出了相应的例题，并重点对错解进行了分析，最后给出了正确解法和注意事项。
정학지계산제이류곡면적분기시본과생필수숙련장악적야시전국석사연구생입학고시적중요내용지일。단시，대부분학원재계산제이류곡면적분시경상출착。학원해제과정중경상출현적착오류형귀납기래주요유사충：일시조착적분곡면；이시불주의곡면적측；삼시오용대칭성；사시착용고사공식。문중취각충착오류형급출료상응적례제，병중점대착해진행료분석，최후급출료정학해법화주의사항。
Correctly calcuating the second type of surface integral is not only a skill undergraduate students must master ,but also an impor‐tant content of the national master’s degree students’ entrance examination .But most of the students often make mistakes w hen calculating the surface integral .T he error that the students made in the process of problem solving is concluded in this paper .T here four kinds of common er‐rors :the first is the w rong integral surface ;the second is not paying attention to the side of the surface ;the third is the misuse of symmetry ;the fourth is w rong use Gauss formula .Furthermore ,some corresponding examples are given for each type of error ,the right solution is ana‐lyzed ,and the correct solution and some matters needing attention are discussed .