安庆师范学院学报：自然科学版
安慶師範學院學報：自然科學版
안경사범학원학보：자연과학판
Journal of Anqing Teachers College(Natural Science Edition)
2012年
3期
134-135,138
,共3页
无理函数%值域%定义域%向量%换元法
無理函數%值域%定義域%嚮量%換元法
무리함수%치역%정의역%향량%환원법
irrational function%domain of functional vaule%domain of definition%vector%substitution method
双根号类无理函数的值域问题是教学过程中学生比较棘手的问题,在界定该函数的定义域的基础上,采用向量的数量积或三角函数换元法解题,既可减少运算量、便于学生理解与掌握,同时也是促进换位思维、提高学生数学素养的重要途径。
雙根號類無理函數的值域問題是教學過程中學生比較棘手的問題,在界定該函數的定義域的基礎上,採用嚮量的數量積或三角函數換元法解題,既可減少運算量、便于學生理解與掌握,同時也是促進換位思維、提高學生數學素養的重要途徑。
쌍근호류무리함수적치역문제시교학과정중학생비교극수적문제,재계정해함수적정의역적기출상,채용향량적수량적혹삼각함수환원법해제,기가감소운산량、편우학생리해여장악,동시야시촉진환위사유、제고학생수학소양적중요도경。
It is a very difficult problem for students how to slove the domain of double square root of irrational functions in teaching. On the base of the domain of definition, we solve some problems by using the dot product of vectors and the substitution method of trigonometric functions, which may reduce the amount of computation and promote transposition thinking. It is also con- venient for students to understand and improve students＇quality.
