共查询到20条相似文献，搜索用时 78 毫秒
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利用恒等式 (日。一6。)(f0一d0)一(ac±bd)。一(ad士bc)0 (*)给定两组勾股数,则可得到八组新的勾股数. 例如,已知3。+42—5。,5。+12。一13。,则 1.由3。一5。一4。,5。一1 3。一12。,据(*)式 (5z一40)(132—122) 一(5×13±4×12)。一(5×12土4X13)2 即(65±48)0—30×15 0+(60±52)0, 即113。一15。+112。或17。一15。+8。. .‘. (15,112,113),(15,8,17)为两组勾股数. 2.由4。一5。一3。,5。一13。一12。.据(*)式 (5 0—30)(130—122) 一(5×13±3×12)0一(5X12士3×13)0. 即 (65士36)0=200+(60土39)0 即101。一2r-4-99。或29。一20。+2… 相似文献
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学习数学 ,做题是必不可少的 ,但也不必整天泡在题海中 .只要做题时注意总结 ,掌握解题的规律 ,便可得到事半功倍的效果 .先看例题计算 :12 +16+11 2 +12 0 +… +12 0 0 2 × 2 0 0 3 . 分析 根据 1 -12 =12 ,12 -13 =3 -22× 3 =16,13 -14=4-33 × 4=11 2 …故原式 =11 × 2 +12 × 3 +13 × 4+14× 5 +… +12 0 0 2 × 2 0 0 3=1 -12 +12 -13 +13 -14… +12 0 0 2 -12 0 0 3=1 -12 0 0 3=2 0 0 22 0 0 3 .利用这个规律 ,把一个分数拆成两个分数的差 ,而且相邻两个分数正好互相抵消 .用这种解题方法便可解答下面一类题目了 .例 1… 相似文献
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在数学王国里,存在着许多神奇的数学规律,同学们如果能发现、掌握这些规律,就能运用它来巧妙简便地解题。例11×2+12×3=11×2+12×3+13×4=11×2+12×3+13×4+14×5+15×6=以上例题用一般方法计算,呆板又麻烦:11×2+12×3=12+16=46=23,11×2+12×3+13×4=12+16+112=612+212+112=912=34……计算时,如能先寻找问题的规律:1ab=1a-1b(a、b都为自然数,且b-a=1),由此得:11×2=1-12;12×3=12-13;13×4=13-14;14×5=14-15……运用规律计算,就灵活简便了。11×2+12×3=1-12+12-13=2311×2+12×3+13×4=1-12+12-13+13-14=3411×2+12×3+13×4+14×5+1… 相似文献
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值此 2 0 0 3新年来临之际 ,特编一组与 2 0 0 3有关的新年趣题 ,供大家演练 .1.计算 11× 2 +12× 3 +13× 4+… +12 0 0 2× 2 0 0 3 .2 .计算 :2 -2 2 -3 3 -… -2 2 0 0 2 +2 2 0 0 3 .3 .将 2 0 0 3减去它的 12 ,再减去余下的 13 ,再减去余下的14 ,… ,直至减去余下的 12 0 0 3 ,最后剩下的数是多少 ?4.已知三个互不相等的有理数 ,既可以表示为 1,a+b,a的形式 ,又可以表示为 0 ,ba,b的形式 ,试求 a2 0 0 2 +b2 0 0 3 的值 .5 .五个连续整数的和与 2的差等于 2 0 0 3 ,求这五个连续整数 喜迎 2 0 0 3答案1.原式 =1-12 + 12 -13 + 13 -1… 相似文献
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湛海粼 《重庆第二师范学院学报》2003,16(6):50-52
在 pH2 .0～ 6.0的条件下 ,曲利本蓝 (TB)与硫酸新霉素 (NEO)发生反应生成蓝色离子缔合物 ,最大显色波长位于 680nm ,最大褪色波长位于 5 88nm ,摩尔吸光系数 (ε)分别为9.1 5× 1 0 3和 2 .87× 1 0 4 L·mol- 1 ·cm- 1 ,线性范围在 0～ 1 3.0 μg/ml至 0～ 1 6.0 μg/ml之间 .若用双波长叠加法测定 ,则ε值可达到 3.79× 1 0 4 L·mol- 1 ·cm- 1 .该方法用于实际样品的测定 ,结果满意 . 相似文献
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分配律a(b +c) =ab+ac的正向使用在计算中常见 ,大家非常熟悉 .但它的逆向应用往往也会给计算带来方便 .例 1 计算 34× ( -7) -( -1 5 ) × -34-34× 2 .解 原式 =( -7) × 34-1 5× 34-2× 34=( -7-1 5 -2 ) × 34=-2 4× 34=-1 8.例 2 计算 -734× 2 0 0 3 -5× 2 0 0 +( -2 .2 5 )× 2 0 0 3 .解 原式 =-734× 2 0 0 3 +( -2 .2 5 ) × 2 0 0 3 -5 × 2 0 0=-734+( -2 .2 5 )× 2 0 0 3 -5 × 2 0 0=-2 0 0 3 0 -1 0 0 0=-2 1 0 3 0 .例 3 计算 ( -72 ) 3 ÷ 51 9× 0 .4+0 .4×1 41 92 × 13 63 .解 原式 =( -72 ) 3 ÷ 51 9… 相似文献
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在一本奥林匹克数学书中有这样一道趣题 :图 1将 0到 9这 10个数字分别填在图 1的 10个黑点处 ,使相邻两数的乘积加 1都是完全平方数 .分析与解 我们用枚举的方法 ,凑数如下 :0× 1+1=12 ,0× 2 +1=12 ,… ,0 × 9+1=12 .又 1× 3+1=2 2 ,3× 5 +1=4 2 ,5× 7+1=6 2 ,7× 9+1=82 ,且 2 × 4 +1=32 ,4 × 6 +1=5 2 ,6 × 8+1=72 ,还有 8× 1+1=32 .图 2由此我们可得图 2 .仔细分析一下上述凑数的结果 ,发现如下三个有趣的性质 :(1) 0乘以任何数a再加 1,总是完全平方数 1:0 ×a +1=12 ;(2 )相邻两个奇数的乘积加 1是完全平方数 ;(3)相邻两个… 相似文献
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1.神秘的数字几个神秘的数字就要登场了.在这里,你会惊叹数学是多么的奇妙.这几个数字分别是:6、36、365.你一定会说,这几个数字很平常呀,就跟别的数字一样.你看吧!6=1+2+3.而36呢,它是一个神圣的数字.为什么呢?我给你介绍一下:36=1+2+3+4+5+6+7+8=(1+2+3)×(1+2+3)=(1×2×3)×(1×2×3)=1×1×2×2×3×3=1×1×1+2×2×2+3×3×3感觉到数字的神奇没有?我们都知道,地球绕太阳一圈是365天,也就是说一年有365天.365这个数字有什么奇妙的地方呢?365=10×10+11×11+12×12=13×13+14×14我们知道,一副扑克牌有1到13,四种花色,一种王牌.你看!(1… 相似文献
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一、选择题 ( 12× 4分 )1 三个实数 - 3、- 2、0依次从小到大排列的顺序是 ( ) .Ａ - 3<- 2 <0 Ｂ - 2 <- 3<0Ｃ 0 <- 3<- 2 Ｄ 0 <- 2 <- 32 2 0 0 2年 5月 15日 ,我国发射的海洋Ⅰ号气象卫星 ,进入预定轨道后 ,若绕地球运行的速度为 7.9× 10 3 米 秒 ,则运行 2× 10 2 秒走过的路程是 (用科学记数法表示 ) .Ａ 15.8× 10 5 米 Ｂ 1.58× 10 5 米Ｃ 0 .158× 10 7米 Ｄ 1.58× 10 6 米3 下列运算中 ,正确的是 ( ) .Ａ ａ2 ·ａ4 =ａ8 Ｂ 1-ａ -ｂ =- 1ａ-ｂＣ ａ - 1ａ =- -ａＤ (ｔａｎ30°- 13) 0 =14 下列… 相似文献
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罗艳萍 《读与写:教育教学刊》2008,5(6)
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
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Richard Denner 《海外英语》2007,(4):14-15
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
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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
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《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
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陈美曦 《山东教育学院学报》2008,23(2):103-107
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
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邱崇丙 《唐山师范学院学报》2014,(1):21-23
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
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《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
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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