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1.
本文首先指出已有文献中论述关于二元二次多项式因式分解所存在的问题,而后详细且彻底地论述了二元二次多项式能因式分解的条件,最后给出了n 元二次多项式的因式分解的条件与例子.  相似文献   

2.
取零法分解二元二次多项式陕西省商洛地区教研室余学在中学数学教学中,常常遇到二元二次多项式的因式分解,如在方程组求解及解析几何的求轨迹等问题中,都用到了二元二次多项式的因式分解.尽管二元二次多项式的分解有一些常用的方法,但对有些学生来说,却仍感到困难....  相似文献   

3.
在中学数学因式分解中,常常遇到二元二次多项式和轮换对称多项式的因式分解。本文通过举例,说明如何用取零法来分解这两类多项式。  相似文献   

4.
文章对二元二次非齐次多项式能因式分解的充要条件进行了论证分析。  相似文献   

5.
把一个多项式分解为几个不可约多项式乘积的形式 ,叫做多项式的因式分解 .一个 n( n>0 )次多项式能够分解成两个次数都小于 n的多项式的乘积 ,则称 f( x)在数域 F上可约 ,否则 ,叫做不可约多项式 .含有 1和 0 ,并且对加、减、乘、除四则运算封闭的数集叫做数域 .例如 ,有理数集 ,实数集 ,复数集等都构成数域 .由高等代数知识我们可以得到 ,在复数载域中 ,只有一次多项式是不可约的 ,而在实数域中 ,只有一次和二次的不可约多项式 .下面 ,我们主要讨论在有理数域范围内多项式的因式分解 .在中学代数里 ,我们曾学习过一些较简单的因式分解的方…  相似文献   

6.
《中学数学教学》1981年第一期《谈因式分解》一文给出了二元二次多项式在复数域内能分解为两个一次因式的充要条件,1981年第二期《教学信箱》(四)又补充了二元二次多项式在实数域能分解为两个一次因式的充要条件。然而,我们常常在有理数域内进行因式分解,特别是中学数学中所涉及的因式分解更是如此。这就联想到一个问题,有理系数二元二次多项式在有理数域内能分解为两个一次因式的充要条件是什么?下面我们就来谈谈这个问题。  相似文献   

7.
二元二次多项式因式分解的问题包括两个方面,能不能分解和如何分解的问题。我们知道有不少分解二元二次多项式的方法,也有人给出过二元二次多项式可分解的充要条件。看来是问题都解决了,但实际上我们面临的问题是当我们按照某种方法去分解一个二元二次多项式时,可能由于某种原因而未能获得结果。那么,是由于这个多项式不  相似文献   

8.
介绍了有关实系数二元二次多项式因式分解的一个定理,并将定理用子解决直接确定双曲线的位置和二元二次方程的整数解问题.  相似文献   

9.
形如ax2+bxy+cy2+dx+cy+f的多项式是关于x、y的二元二次多项式,在各类竞赛中常常出现.现就这类多项式的因式分解问题介绍几种求解方法.  相似文献   

10.
二元二次多项式的因式分解早已有文叙述,如数学通报1956年9期,1989年1期。 本文是结合高等代数教学,用矩阵为工具给出二元二次多项式。 f(x, y)=ax~2 bxy cy~2 dx十ey f (*) 可分解为一次式乘积的条件及利用配方法进行因式分解的一种方法。供学生学习二次式一章的参考。  相似文献   

11.
汉字倒说     
汉字的六书,《说文》对“转注”一类,语焉不详。后世学者提及转注,也仅限于许慎所举出的例字。《汉字例说》一文,作者从转注的角度综合考虑,对部分现代常用字作了分析,跟传统的解释有所不同。希望能抛砖引玉,互相切磋,以推进学术研究。  相似文献   

12.
《海外英语》2007,(5):44-45
It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,  相似文献   

13.
钱生钱!     
我们绝大部分人都同意一件事情——我们喜欢金钱。但是你对金钱的喜欢之情足够到让你创立一份事业么?.财富通常被人忽视,主要在于人们不能真正了  相似文献   

14.
《海外英语》2007,(4):36
There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.  相似文献   

15.
The problem on the geometrc inequalities involving an n-dimensional simplex and its inscribed simplex is studied. Aninequality is established, which reveals that the difference between the squared circumradius of the n-dimensional simplex andthe squared distance between its circumcenter and barycenter times the squared circumradius of its inscribed simplex is not lessthan the 2(n-1)th power of n times its squared inradius, and is equal to when the simplex is regular and its inscribed siplex is atangent point one. Deduction from this inequality reaches a generalization of n-dimensional Euler inequality indicating that thecircumradius of the simplex is not less than the n-fold inradius. Another inequality is derived to present the relationship betweenthe circumradius of the n-dimensional simplex and the circumradius and inradius of its pedal simplex.  相似文献   

16.
王菲 《华章》2007,(12):273-273
Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.  相似文献   

17.
现在,我们可以没有面包,没有钱,没有房子,没有车子……但我们唯独不能丢失的是高尚的情操,笃定的信念,还有,满满的希望!  相似文献   

18.
Using virtual reality for interactive design gives a designer an intuitive vision of a design and allows the designer to achieve a viable, optimal solution in a timely manner. The article discusses the process of making the Virtual Reality System of the Humble Administrator's Garden. Translating building data to the Virtual Reality Modeling Language (VRML) is by far unsatisfactory. This creates a challenge for computer designers to do optimization to meet requirements. Five different approaches to optimize models have been presented in this paper. The other methods are to optimize VRML and to reduce the file size. This is done by keeping polygon counts to a minimum and by applying such techniques as object culling and level-ofdetail switching.  相似文献   

19.
钱微 《华章》2007,(3):124-124
The awareness of individualism can be traced back to the period of American Revolution when the Declaration of Independence was produced.It expressed basic beliefs concerning freedom,equality,democracy,privacy and the relationship between people and government,which were exactly what the philosophy of individualism mostly dealt with at that time.This paper is to exploit the essence of individualism by analyzing the Declaration .The analysis enables us to reconsider its significance to the issue of America human rights and foreign policies.  相似文献   

20.
裴水妹 《华章》2007,(11):196
Sister Carrie is one of the most controversial characters in American literature.Thought as a "fallen woman" firstly,she was defined as a "new woman" by some critics later. However, by digging into the motivaton behind the whole process of Carrie's "success", the relationship between Carrie and her creator (the author), the social conditions of then American, it can be found that Carrie has never been free-standing on her thought and she has never found her real-sdf even after becoming a famous actress. In a society dominated by mass consumerism Carrie is only an adherent of her own desires. She also is a representative of all those country girls flooded into cities, a symbol and a sacrifice of the urbanization of America in a time countryside was overcome by cities.  相似文献   

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