高师理科学刊
高師理科學刊
고사이과학간
JOURNAL OF SCIENCE OF TEACHERS' COLLEGE AND UNIVERSITY
2015年
8期
60-62
,共3页
映射%函数%向量
映射%函數%嚮量
영사%함수%향량
mapping%function%vector
在高等数学教学过程中,多值函数不满足教材函数定义中任意的x?D,总有确定的唯一的y值与之对应,由此学生会提出多值函数是否为函数的疑问。在集合元素中引入n维向量,重新定义映射和函数,可以让学生更好地理解多值函数。同时总结了映射的三种运算性质,即映射的相等、延拓与限制。
在高等數學教學過程中,多值函數不滿足教材函數定義中任意的x?D,總有確定的唯一的y值與之對應,由此學生會提齣多值函數是否為函數的疑問。在集閤元素中引入n維嚮量,重新定義映射和函數,可以讓學生更好地理解多值函數。同時總結瞭映射的三種運算性質,即映射的相等、延拓與限製。
재고등수학교학과정중,다치함수불만족교재함수정의중임의적x?D,총유학정적유일적y치여지대응,유차학생회제출다치함수시부위함수적의문。재집합원소중인입n유향량,중신정의영사화함수,가이양학생경호지리해다치함수。동시총결료영사적삼충운산성질,즉영사적상등、연탁여한제。
In higher mathematics teaching process,multi-valued function is not satisfied for anyx?D,there is always a unique value to determine the corresponding.Therefore some students will put forward problems that multi-valued function is not function.Introduced elements withn-dimensional vector in the set,and redefined the mapping and function,so that students understand the multi-valued function.At the same time,summarized the three operation properties of mapping,including mapping equal,mapping extension andmapping limitations.