文档介绍：毕业论文
题目:反函数在生活中的应用
院系: 数学与计算机科学学院
指导教师:
班级: 08级数应(2)班
姓名:
完成时间: 2012-4-5
反函数在生活中的应用
摘要: 数学是一种应用非常广泛的学科。数学家华罗庚曾经说过:“宇宙之大、粒子之微、火箭之速、化工之巧、地球之变、生活之迷、日月之繁,无处不用数学。”这可以说是对数学与生活的关系的完美阐述。新课程标准出现的一类新颖试题,近年来与实际生活相结合的题目屡见不鲜,不仅要求数学教学必须从学生熟悉的生活情景和感兴趣的事物出发,使学生有更多的机会从周围熟悉的事物中学****数学和理解数学,体会到数学就在身边,感受到数学的趣味,而且还要激发学生运用数学解决实际问题的兴趣,做到学以致用,进一步体会数学的作用和价值,感受到数学的魅力。本文应用分析、比较等数学思维研究方法对数学中的反函数进行探讨来以求解决日常中遇到的实际问题。
关键词:反函数定义域值域图像
Abstract: mathematics is a very extensive subject. Mathematician hua luogeng once said: "the universe of the big, the micro particles of speed, chemical industry, the rockets of chocolate, and change, the life of the earth, the sun and the moon is the fan is numerous, without mathematics." This can be said to mathematics and the relationship between the perfect life of this paper. The new curriculum standard an emerging class of new questions, in recent years and practical life with bination mon topic, not only request mathematics teaching must be familiar life scenes from students and interested in things start to make students have more opportunities from familiar things around in learning mathematics and understand math, and realize the math is right there and feel the mathematics interest, but also to stimulate the students' mathematical problem solving interest, do application, and further experience of mathematics function and value, feel the charm of mathematics. This paper analysis parison of the application of mathematical thinking methods of mathematical FanHanShu are discussed in order to solve the day-to-day to practical problems met in.
目录:
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=x对称;函数及其反函数的图形关于直线y=x对称 6
,函数的定义域与值域是一一映射;严格增(减)的函数一定有严格增(减)的反函数 7
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(a,b)关于直线 y=x 对称的点是P1(b,a) 8
(减)的函数一定有严格增(减)的反函数 8
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、值域相反对应法则互逆 9
. 原函数一旦确定,反函数即确定 9
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