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1、江西师范大学12届学士学位毕业论文江西师范大学数学与信息科学学院学士学位论文中学数学中的数形结合思想Several of the middle school Mathematics form combining ideas姓 名： 学 号：学 院：数学与信息科学学院专 业：数学与应用数学指导老师： 完成时间：2012年4月5日【摘要】在中学数学中有很多数学方法，其中数形结合思想是中学数学中一种重要方法，它将代数与几何相结合，利用数形之间相互转换，有利于分析题中的数量之间关系，丰富想象，化繁为简，化难为易，一方面,借助于图形的性质可以将许多抽象的数学概念和数量关系形象化、简单化,给人以直觉的启示
2、。另一方面,将图形问题转化为代数问题,以获得精确的结论。提高分析和解题的能力从而达到简易的解题方法，最终方便我们的解题。我将从以下几个方面来探讨数形结合思想在中学数学中的应用：（1）在集合中的应用；（2）在解方程中的应用；（3）在解不等式中的应用；（4）在解析几何上的应用；（5）在解决最值、值域问题上的应用。通过分析、比较和归纳充分展现数形结合思想在解题中的特点和优越性，从而在实际教学中要将数形结合思想融汇到课堂中，培养学生加强数形结合思想的意识。【关键词】中学数学 数形结合 应用 思想方法Several of the middle school Mathematics form combin
3、ing ideas Huangping【 abstract 】 in the middle school mathematics has lots of mathematical methods, including several form combining ideas middle school mathematics is one of the most important methods, it will algebra and geometry, and the combination of using several shape transformation between, b
4、e helpful for analysis problem of the relation between the quantity, rich imagination, change numerous hard things simple, easy, on the one hand, graphic nature of many of the abstract will math concepts and visual and quantitative relationship between simplified, give a person with intuitive enligh
5、tenment. On the other hand, will graphics problem into the algebra problem, in order to obtain the accurate conclusions. Improve the analysis and problem solving ability so as to achieve simple problem solving method, the final convenient our problem solving. I will from the following several aspect
6、s to discuss several form combining ideas middle school mathematics in the application: (1) the application of the set; (2) in the process of the application of the solution; (3)the application of inequality in solution; (4)in the application of analytic geometry; (5)to solve the most value, domain
7、in its application. Through the analysis, comparison and induction show several form combining ideas of problem in the characteristic and advantages, which in actual teaching will form together with several ideas to the classroom, training students strengthen the consciousness of combining ideas num
8、ber form.【Key words】 Middle school mathematics Several form combined with An application example Thought method目录1引言12数形结合思想的概念13数形结合思想在中学数学中的应用231数形结合思想在集合中的应用2 3.2数形结合思想在方程的应用33.3数形结合思想在不等式中的应用4 3.4数形结合思想解决最值、值域问题6 3.5数形结合思想在解析几何中的应用84培养学生数形结合思想的一些教学措施9 5小结106参考文献11Opinions and suggestions on the
9、partys mass line educational practiceAccording to the central and provincial, municipal unified deployment, according to municipal Party committee about carrying out the partys mass line educational practice activity in the citys implementation opinions, the spirit of the partys mass line educationa
10、l practice activities from 20* in January to 99 months, carried out at all levels of departments and directly affiliated institutions and grass-roots party organizations. According to my actual County, the county to carry out the education practice put forward the following implementation opinions.F
11、irst, the overall requirementsCounty county education practice to the eighteen Party of eight, the spirit of the the third Plenary Session of the 18th CPC Central Committee as the guidance, conscientiously implement the spirit of general secretary book series of important speech, earnestly implement
12、 the Central Committee really, opinions and advice , party implementing the guiding ideology of opinions to determine the objectives and requirements, step method, in accordance with the look in the mirror, dress up, wash bath, cure treatment, the general requirements of for the people pragmatic hon
13、est people as the theme, in carrying forward the spirit of Zhuanglang Zhuang, improve their work style, service to the masses of the people, the foundation of consolidating grassroots, promote transformation across efforts, to further implement the central eight regulations and The opposition party
14、and government austerity waste regulations , double section provincial regulations, municipal provisions of the twelve plan and the implementation measures for on improving the work style of close ties with the masses law, highlight style building, carry out the whole wind spirit, resolutely oppose formalism, bureaucracy, hedonism and wasteful extravagance to solve the problems, Party members and cadres
