科教文汇
科教文彙
과교문회
EDUCATION SCIENCE & CULTURE MAGAZINE
2015年
1期
122-123
,共2页
数形结合%数学思想方法
數形結閤%數學思想方法
수형결합%수학사상방법
symbolic-graphic combination%mathematics%thinking method
数形结合是高中数学重要的思想方法。代数关系和几何关系之间的相互转换,往往能够使问题更加形象和直观。然而一些复杂的代数关系很难通过人工画图快速、准确地反映出来,而且人工画图难以体现变量变化、几何对象的动态变化时,我们需要借助动态数学软件。而动态数学软件 GeoGebra 拥有强大的作图功能,可以方便快捷地搭建起把“数”与“形”结合在一起的桥梁,实现代数问题的可视化。
數形結閤是高中數學重要的思想方法。代數關繫和幾何關繫之間的相互轉換,往往能夠使問題更加形象和直觀。然而一些複雜的代數關繫很難通過人工畫圖快速、準確地反映齣來,而且人工畫圖難以體現變量變化、幾何對象的動態變化時,我們需要藉助動態數學軟件。而動態數學軟件 GeoGebra 擁有彊大的作圖功能,可以方便快捷地搭建起把“數”與“形”結閤在一起的橋樑,實現代數問題的可視化。
수형결합시고중수학중요적사상방법。대수관계화궤하관계지간적상호전환,왕왕능구사문제경가형상화직관。연이일사복잡적대수관계흔난통과인공화도쾌속、준학지반영출래,이차인공화도난이체현변량변화、궤하대상적동태변화시,아문수요차조동태수학연건。이동태수학연건 GeoGebra 옹유강대적작도공능,가이방편쾌첩지탑건기파“수”여“형”결합재일기적교량,실현대수문제적가시화。
Symbolic-graphic combination is an important think-ing method in mathematics for senior high school. The intercon-version between algebraic relations and geometrical relations can often make problems more visual and intuitive. However, some complicated algebraic relations can hardly be rapidly and accu-rately reflected through artificial drawings which can hardly re-flect the dynamic changes of geometric objects with the changes of variables, so we should draw support from dynamic mathemat-ical software in this case. The dynamic mathematical software GeoGebra possesses powerful functions of drawing, which can rapidly make algebraic problems visualized through symbol-ic-graphic combination.