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1.
新型阳离子高分子絮凝剂的合成及应用   总被引:4,自引:0,他引:4  
以二甲基二烯丙基氯化铵(DMDAAC)和丙稀酰胺(AM)为原料,在引发剂过硫酸铵(APS)的作用下,通过共聚合反应成了一种新的阳离子型聚合物,在n(DMDAAC):n(AM)=2:1、c(APS)=2.0&;#215;10^-2mol/L、t=60℃、T=3h的条件下,所得共聚物的阳离子度(CD)为45%,相对分子质量为9.4&;#215;10^6。应用实验结果证明该聚合物具有良好的絮凝作用,同时对共聚物的结构进行了表征。  相似文献   

2.
通过给出3维格Pn1×Pn2×Pn3和台阶图S^(m)n1、n2、n3的控制满划分,证明了控制划分数d(Pn1×Pn2×Pn3)=4,d(S^(m)n1、n2、n3)=4(其中n1≥2,i=1,2,3;m≥1)。  相似文献   

3.
问题设n是满足下列条件的最小正整数,它们是75的倍数且恰好有75个正数因数(包括1和本身),求7n5.解由已知条件知n=75k=3×52k,欲使n尽可能小,可设n=2a×3b×5c(c≥2,b≥1),且有(a+1)(b+1)(c+1)=75,所以a+1,b+1,c+1都是奇数,因此a,b,c都是偶数,所以c=2.由(a+1)(b+1)(c+1)=75,得(a+1)(b+1)=25.①a+1=5,b+1=5:a=4,b=4.故n=24×34×52;②a+1=1,b+1=25:a=0,b=24.故n=20×324×52.由①、②知最小的正整数n是24×34×52.故7n5=432.问题1.9参考答案…  相似文献   

4.
例1已知数列{a_n}中,a_1=1,对任意自然数n都有a_n=a_(n-1)+1/(n(n+1)),求a_n.解:由已知得a_n-a_(n-1)=1/(n(n+1)),a_(n-1)-a_(n-2)=1/((n-1)n),…,a_3-a_2=1/(3×4),a_2-a_1=1/(2×3).以上n-1个式子累加,并利用1/(n(n+1))=1/n-1/(n+1),得a_n-a_1=1/(2×3)+…+1/((n-2)(n-1))+1/((n+1)n)+1/(n(n+1))=1/2-1/(n+1),∴a_n=3/2-1/(n+1).点评:求形如a_n-a_(n-1)=f(n)的数列通项,可用累加法.  相似文献   

5.
问题:计算1990×198.9-1989×198.8=?这是一道小数乘减混合运算的巧算题。解题的关键是熟悉积不变规律和乘法分配律与有关性质,先把两个积改写成具有一个相同因数的式子。规律:如果一个因数扩大若干倍,另一个因数缩小相同倍数,那么它们的积不变。即:a×b=c,那么,(a×n)×(b÷n)=c或(a÷n)×(b×n)=c定律:(a+b)×c=a×c+b×c或c×(a+b)=c×a+c×b性质:①(a-b)×c=a×c-b×c②a-(b-c)=a-b+c解题方法:先应用积不变规律把两个积改写成具有一个相同因数或应用字母代换数改写成字母算式。再应用乘法分配律或性质简化计算。解题:方法一:原式=(1990…  相似文献   

6.
令等式成立     
我们有四个数字:1、2、3、4,将它们合并到一个数学等式中,令其答案为5.例如:4+3-2×1=5使用相同数字的另一个成立等式如下所示:4+3-2÷1=5您是否能够建立另一个数学表达式,在等式左边使用1、2、3和4,并令等式的右边等于5?可以使用4个标准的数学运算符:+(加)-(减)×(乘)÷(除),如有必要,还可以使用括号.我们还可以练习一下这些题目:5551=243582=29936=25678=14443=42357=7答案:(4+1)÷(3-2)=55551=24(5-1÷5)×5=243582=2(8×2)÷(3+5)=29936=2(9+9)÷(3+6)=25678=1(8-7)÷(6-5)=14443=4(4×4)-(4×3)=42357=72+3-5+7=7令等式成立@道道…  相似文献   

7.
数学思想方法是数学的灵魂,是解决数学问题的金钥匙.在“幂的运算”这一章中就蕴含着许多重要的数学思想方法,需要我们去挖掘、提炼、应用.一、归纳思想23×24=(2×2×2)×(2×2×2×2)=27,A3×A4=(A×A×A)×(A×A×A×A)=A7,AM·AN=AM+N(M、N为正整数).这就得到了“同底数幂相乘,底数不变,指数相加”的法则.此法则的得出正是运用了归纳的数学思想.运用归纳思想,要善于观察,才能得到正确结论.例1观察下表:通过以上信息,用你发现的规律得出6182005的个位数字是______.(2005年湖南省湘潭市中考试题)分析:仔细观察,可发现其一般规律是…  相似文献   

8.
~~~不等号的右边是这两个数乘积的2倍,应是2ab郾故反映这种规律的一般结论是a2+b2≥2ab郾例5考查下列式子,归纳规律并填空:1=(-1)2×1;1-3=(-1)3×2;1-3+5=(-1)4×3……1-3+5-7+…+(-1)n+1×(2n-1)=郾(2002年广东省佛山市中考题)分析本题的关键是确定-1的指数,通过观察可知,第n个式子等号右边-1的指数是n+1,故横线处应填(-1)n+1·n郾例6观察下列各式:21×2=21+2,32×3=32+3,43×4=43+4,54×5=54+5……想一想,什么样的两数之积等于这两数之和?设n表示正整数,用关于n的等式表示这个规律为×=+郾(2002年北京市西城区中考题)分析等号左边是两个…  相似文献   

9.
数学是思维科学,也是实验科学.数学中的推理,不仅包含分析、综合、抽象、概括等演绎推理方式,而且包括观察、实验、归纳、猜想、调整等合情推理方式.近年的中考命题常常以此来作为考查学生数学探索能力和创新能力的好题材.下面举例说明.例1(2003年福州市)观察下列各式:1×3=12+2×1,2×4=22+2×2,3×5=32+2×3,…请你将猜想到的规律用自然数n(n≥1)表示出来:.解观察、比较所给已知等式:不难得到上述等式中所体现的规律是n(n+2)=n2+2n.说明:由特殊到一般的过程是人们认识事物的一般规律,而观察、发现、归纳是得出结论、发现数学规律最常用的…  相似文献   

10.
数与代数     
数与式例1:某音像社对外出租光盘的方法是:每张光盘在租出后的头两天每天收0.8元,以后每天收0.5元.那么一张光盘在租出的第n(n是大于2的自然数)天,应收租金元.解析:租金分两段计算,每张光盘出租的头两天的租金为0.8×2=1.6元;当租的天数为(n-2)天时,每天收0.5元,所以租金为0.5(n-2)元,因此总的租金为1.6+0.5(n-2)=(0.5n+0.6)元.例2:观察下列各式:21×2=12+232×3=23+334×4=34+454×5=45+5……设n表示正整数,用关于n的等式表示这个规律为:×=+解析:21×2=(11+1)×2=12+2;23×3=(21+1)×3=32+3,43×4=(13+1)×4=43+4;54×5=(14+1)×5=54+5……  相似文献   

11.
《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   

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.
《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   

14.
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   

15.
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   

16.
17.
1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec…  相似文献   

18.
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   

19.
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   

20.
Today, Sunday morning, I sit thinking and typing at my computer. My thoughts are in my homeland, India and my body is in China. The body is here and mind there for a good reason. Mr. Hu is president and I am resident and both are in each other's countries (what a difference the absence of one small letter makes!). Mr. Hu will return in a few days and I will stay on longer.  相似文献   

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