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1.
一、变成完全平方式的形式例1已知关于x的一元二次方程(k2-k-2)x2-(5k-1)x+6=0(k≠2,k≠-1).求证:这个方程一定有两个实数根.证明:∵k≠2,k≠-1,∴k2-k-2≠0.∵Δ=〔-(5k-1)〕2-4·6(k2-k-2)=k2+14k+49=(k+7)2≥0.∴该方程一定有两个实数根.二、变成完全平方式加一个非负数的形式例2已知:a、b、c是实数,且a=b+c+1.试证:两个方程x2+x+b=0和x2+ax+c=0至少有一个方程有两个不相等的实数根.证明:两个方程的判别式分别为Δ1=1-4b,Δ2=a…  相似文献   

2.
有机选择型计算题巧解兰州市二十七中学崔国兰一、十字交叉法十字交叉法是利用两种(有时是两种以上)物质的某一平均值,计算混和物里各成分的体积比、物质的量比及质量比等。它的形式是:若M1a1+M2a2=M(a1+a2=1),则有:M1M2M(M-M2)=x...  相似文献   

3.
有一类多项式,它的某些部分是整式采积的形式,在将这类多项式分解因式时.不少同学感到困难.下面归纳出几种常用的方法,供参考.一、整体法例1分解因式:(1988年安徽省中考试题)*视“X’-SX”为一个“整体”,采用十字相乘法.则原式一(X’-5.T/-2(T’一ST)-24。(’一sz,~6)(‘r’-sx+4)=(x-6)(a、+l)(x一4)(x一1).二、局团结合例2分解因式:X(x十几)(x+2)(X+3)+1.:199全年西安中学高巾招生试题)群将。与U+31结合,(。‘,1)与(X+ZJ结合,则原式一)(x+3)〕〔(X+1)(X+…  相似文献   

4.
动物生命活动调节的基本形式是什么?高中《生物》(必修)教材“动物生命活动的调节”一节中,讲到“动物生命活动的调节有两种基本形式:激素调节(包括高等动物的激素调节、昆虫的激素调节)和神经调节。”我认为以此给动物生命活动调节的基本形式分类有些不妥。激素对...  相似文献   

5.
一、境空题(每空2分,共38分):1.把一个多项式化成几个整式的积的形式叫、它和整式乘法是、的变形.2运用公式法分解因式的公式有3.】‘3-42‘一{互m“,*221h,*一且一I(/=5.a‘b‘+ah=(a+b)()+()。6.3,naz6,na+3,n。7·aa4=8._2-SH-14一9.6a、Zllcy+3y‘=10.已知多项式/十天X+9是一个完全平方式.那么人一二、单项选择题(每小题4分.共20分):L把。、’+。,’y一。/-y’分解因式.最际准的答案是()(A)b·+y)O、’-y);(B)、I(I-》一、。-h、-。…:()(l+)(J、-V…  相似文献   

6.
所谓构造法,就是综合运用各种知识和方法,根据对条件和结论的观察分拆将问题中的条件和结论经过适当的逻辑组合,而构造一种新的形式,这种新的形式恰是熟悉的数学模型,从而使解题思路清晰,问题得以解决的一种解题方法。一、变更条件构造法对问题给出的条件做适当的变更,使之便于构造熟悉的数学模型.倒1计算分析:变更条件,考察n4+1024=n4+322分解因式得:n4+10242=(-4)2+16)(彻十4)2+16)解:由n4+1024一[(n-4)2+16)[(n+4)2+16)得:原式分子=(62+16)(142+16)(222+16)(302+16)·(382+16)刷6…  相似文献   

7.
编者说明:随着“3+X”的科目设置方案三年左右的时间在全国范围内推行,高考地理试卷将会有四种形式出现,第一种形式是地理单科试卷,适合“3+1”或“3+2”的省份(如上海、广东);第二种形式是政、史、地综合试卷,适合“3+X”(小综合)的省份。第三种形式是物理、化学、生物、政治、历史、地理综合试卷,适合“3+X”(大综合)的省份;第四种形式是语、数、物、化、生、政、史、地合卷(其中语文、数学各占20%,其他学科各占10%)适合保送生综合能力测试。四种形式中不管哪一种形式,命题的指导思想是:①有利于…  相似文献   

8.
因式分解的方法较多,灵活性大,对部分题目,只限于用课本上介绍的四种方法显然不够,为此,本文介绍几种技巧和方法如下,供初二同学学习时参考.一、拆项法例1 分解因式:x3-9x+8.(1993年华罗庚数学学校初一训练题)解∵-9x=-x-8s,∴原式=(x3-x)-(8x-8)=x(x+1)(x-1)-8(x-1)=(x-1)(x2+x-8).注 本题还可拆常数项(8=9-1)或拆三次项(x3=-8x3+9x3)进行分解.例2分解因式:bc(b+c)+ca(c-a)-ab(a+b).(1993年华罗庚数学学校初一训练题)解∵b+c=(a+b)+(c-a),∴原式=bc[…  相似文献   

9.
数的性质是从运算中表现出来的.由于对立或者统一的缘故,使一些成对的数在某种运算中相遇后,表现出许多奇异的性质来,我们把具有这样性质的数对称为对偶数.比如:a+b与a-b就是一对典型的对偶数.本文试图对构造对偶数(式)解题作肤浅的探讨.先看下面的例子:例1 求证(a+b)2≤2(a2+b2).证明 (a+b)2≤(a+b)2+(a-b)2=2(a2+b2).这里构造了(a-b)2,思路顺畅,方法简单.例2 求(x+2)2n+1展开式中x的整数次幂项系数之和.解 构造对偶数(2-x)2n+1,由二项…  相似文献   

10.
小题大做     
这里的“小题”是指看起来很简单的数学题目,主要是指填空题、选择题和简答题,这类题目表述形式简单,考查知识点小,分值也小,一当我们挖掘它的内涵就会发现其检测的数学功能却不小,“大做”很有必要.例1(2002年江西中考题目B卷)解方程:(2x-1)2-2x-1=0.解(化成一般形式)4x2-4x+1-2x+1=0,2x2-3x+1=0.以下可以用因式分解法或求根公式法不难求到:x1=12,x2=1.另解(直接因式分解)(2x-1)2-(2x-1)=0,(2x-1)[(2x-1)-1]=0.x1=12,x2=1.解…  相似文献   

11.
The communication of people partially is the communication of cultures. Culture has a direct effect on international commercial activities in all aspects. Different conceptions about time, space, equality, law and the like, lead people to deal with things in different ways. So to know cultures of the counterpart is to facil-itate our enterprises so as to have a smooth and successful communication in commercial activity.  相似文献   

12.
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   

13.
风的曲线     
Rosco and I wait for the fishermen to return.I sit at a wooden bench near the store at Mt.Baker Resort and watch the clouds change shape. Rosco has my belt around his neck and an eight foot tow chain hooked to a tree. Dogs must be on a leash. Ducks and rabbits are loose.  相似文献   

14.
Given a graph G,a subgraph C is called a clique of G if C is a complete subgraph of G maximal under inclusion and |C|≥2. A clique-transversal set S of G is a set of vertices of G such that S meets all cliques of G. The clique-transversal number, denoted as TC (G), is the minimum cardinality of a clique-transversal set in G. The clique-graph of G, denoted as K (G), is the graph obtained by taking the cliques of G as vertices, and two vertices are adjacent if and only if the corresponding cliques in G have nonempty intersection. Let F be a class of graphs G such that F={G|K(G) is a tree}. In this paper the graphs in F having independent clique-transversal sets are shown and thus TC (G)/|G|≤1/2 for all G ∈ F.  相似文献   

15.
《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   

16.
一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/  相似文献   

17.
《海外英语》2007,(5):10-11
Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?  相似文献   

18.
Different nations have different social cultures, and the social culture of every nation is developing with the development of the nation, language is greatly influenced by social culture, which enables language to possess national and historical characteristics. Word is the smallest, independent, meaningful linguistic unit of language. It can well reflect the national and historical characteristics. From synchronic aspect, the social and cultural influence on word meaning is mainly embodied in conceptual and associative meanings of word. The incorrespondence of word meaning is a phenomenon that exists in both conceptual and associative meanings of word among different languages. From diachronic aspect, the development of social culture causes some changes of word meaning to some extent. Therefore, social culture plays a key role in vocabulary learning and mastery of a language.  相似文献   

19.
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   

20.
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   

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