朋友们，帮我翻译一片英文论文吧

朋友们帮我把论文摘要翻译成英文。。。。O(∩_∩)O谢谢~

Discuss ideas in the middle school mathematics application
Content abstract
Discuss widely exist in middle school mathematics in the various problems in the college entrance examination, is key. According to the object of mathematics is the same and different points between mathematical object for different kinds of methods, discuss the logical thought has obvious characteristic, is the solution to the problem of a logical method, also is a kind of mathematical thought, this kind of problem need to have some analysis and classification, this kind of thought for simplified technique research object, the development of the human mind plays an important role in helping. Discuss reflects the whole into parts, deposition of zero and classification methods of consolidation. Discuss the ideas about mathematical problem has obvious logical, comprehensive, exploratory, training organization and generality of thinking. Discussion question jurisdition covered by classification, based on the specific knowledge learned high discuss problems are summarized, and focus on the principles and methods of classification and skills, to discuss the question classification method was summarized.

[key] discuss thinking function sequence of analytic geometry

由shere,luchansky等人组成的美国威斯康星洲的大肠杆菌研究小组已经发表过类似的研究报告。不仅仅是水槽作为其中的传播媒介是可信的。该小组也描述了现实中的殖民地化，海运业的发展，淡水的沉淀物等可能性。对这些可能性的研究正在进行中。

试试看，只能说试试看～～～

Two New One-Dimensional Chain-Like Compounds Constructed from the Sandwich-Type Polyoxotungstate Clusters

由多层式多金属钨酸盐簇合成的两种新型类尺寸链结构复合物

Introduction 简介

Polyoxometalates (POMs), as metal–oxygen cluster ions, have been attracting extensive interests due to their enormous structural varieties and the accompanying multitude of potential applications in the field of catalysis, electrochemistry, electrochromism and magnetism [1, 2]. 多金属氧酸盐，也就是金属-氧簇离子簇，一直以来都因为它们巨大的结构多样性，以及由此产生其在催化，电化学，电变色和磁化领域的应用潜能引发研究者的广泛关注[1, 2]。The evolution of POM chemistry is dependent upon the synthesis of novel polyoxoanions possessing unique structures and physicochemical versatilities. With the aim of producing novel polyoxoanions, much attention has focused on the self-assembly of preformed building units.多金属氧酸盐化学的进展依赖于新型多聚阴离子簇工艺的独特结构和物理化学普适性。在制备新型多聚阴离子簇方面，大量的注意力都集中在预成型合成单元的自我合成。 In this subfamily, lacunary POMs represent one of the excellent inorganic precursors to construct new compounds with diverse nuclearities and structural features combined with interesting catalytic, electrochemical and magnetic properties, which have attracted considerable attention worldwidely [3]. 在这个子课题下，多空隙的多金属氧酸盐代表了一种优良的非有机前驱材料，其合成的新型复合物具备多核性（???）以及令人感兴趣的包括催化，电化学和磁化特性，这类复合物已经在世界范围内引发重大关注[3]。Up to now, numerous sandwich- type polyoxoanions have been synthesized by the reactions of the lacunary polyoxoanions with the transition metal cations, and mostly belong to the well-known Weakley-, Herve′-, Krebs- and Knoth-type sandwich structures [4, 5]. 至今，已有大量多层式多聚阴离子簇通过多空隙阴离子簇与过渡金属反应合成，其中大多数属于广为人知的威克利，赫维，克雷布斯和克努斯多层结构 [4, 5]。They each accommodated a paramagnetic transition metal-set between two lacunary polyoxoanions, which make them exhibit interesting catalytic, magnetic, electrochemical properties. 这些结构各自都在两种多空隙多聚阴离子簇之间设置顺磁性过渡金属键合，使其呈现令人感兴趣的催化，磁化以及电化学特性。It is known to all that the sandwich-type polyoxoanions have a larger volume and a more-negative charge than that of the commonly used polyoxovanadate/-molybdate in constructing the extended structure materials, which allow the formation of higher coordination numbers with transition-metal cations. 正是因为多层式多聚阴离子簇能够形成更高的与过渡金属反应的配位数，在合成延展结构材料方面它们能提供比一般使用的多聚钒酸盐或者多聚钼酸盐更多的电负性更强的电荷。These sandwich-type clusters should be the excellent precursors, but are used scarcely for constructing the extended structure materials [6]. 这类多层式簇离子簇将会是优良的前驱材料，但目前在合成延展结构材料方面的应用却极为少见 [6]。In this article, we reported two new one dimensional chain-like compounds constructed from the M4-sandwiched polyoxoanions. 本文将提出由M4多层多聚阴离子簇合成的两种新型类尺寸链结构复合物。

Materials and Methods 材料与方法

All chemicals were commercially purchased and used without further purification. 所有化学品都从市场购买并未做进一步纯化。 K8[b-GeW11O39]
14H2O and K8[c-SiW10O36]
12H2O were synthesized according to the literatures [7] and characterized by IR spectra. K8[b-GeW11O39]
14H2O 和 K8[c-SiW10O36]
12H2O 根据文献[7]合成并由红外光谱检定。Elemental analyses (H) were performed on a Perkin-Elmer 2400 CHN elemental analyzer;元素分析 (H)在Perkin-Elmer 2400 CHN元素分析仪进行； Si, Ge, W, Mn, Cu, Na and K were analyzed on a PLASMA-SPEC(I) ICP atomic emission spectrometer. Si, Ge, W, Mn, Cu, Na 和 K元素分析在PLASMA-SPEC(I) ICP原子发射分光计进行。 IR spectra were recorded in the range 400–4,000 cm-1 on an Alpha Centaurt FT/IR Spectrophotometer using KBr pellets. 红外光谱记录范围在400–4,000 cm-1，使用KBr靶丸Alpha Centaurt FT/IR分光光度计。TG analyses were performed on a Perkin-Elmer TGA7 instrument in flowing N2 with a heating rate of 10 C min-1. 甘油三酯分析设备为Perkin-Elmer TGA7内注氮气，加热速率为10 C min-1。 Electrochemical measurements were carried out on a CHI 660A electrochemical workstation at room temperature (25–30 C) under nitrogen atmosphere. 电化学测量在室温(25–30 C) 氮气环境条件下使用CHI 660A电化学工作台进行。 A pHS-25B type pH meter was used for pH measurement. PH值测量使用pHS-25B式酸碱计（氢离子浓度计）。

两个新的一维链状化合物
建造的夹心型Polyoxotungstate
集群
导言
多金属氧酸盐（酸盐），是金属氧簇离子，已吸引
由于其庞大的结构性品种和所附的广泛利益
在众多的催化，电化学领域的潜在应用，
电致变色和磁[1，2]。聚甲醛的化学进化
依赖于新的具有独特结构的杂多的合成
和理化versatilities。随着生产新型杂多目标，
许多人关注的自我建设的预制装配
单位。在这个亚科，缺位酸盐的优秀代表无机1
前体的建设有不同的nuclearities和结构的新化合物
再加上有趣的催化，电化学和磁特性
物业，这吸引了大量关注worldwidely [3]。最多
现在，众多的夹心型杂多已合成了
与过渡金属离子的缺位杂多反应，
大多属于著名威克利-，Herve' -，克雷布斯和Knoth型
夹层结构[4，5]。他们每安置一顺磁转变
金属两缺位杂多，这使它们表现出一套
有趣的催化，磁，电化学性能。这是众所周知，
夹心型杂多有更大的增长和更加负
费比常用的polyoxovanadate / -钼的建设
扩展的结构材料，允许更高的形成
与过渡金属离子配位。这些夹心型集群
应该是出色的前体，但很少用于兴建
扩展的结构材料[6]。在本文中，我们报道了两个新的onedimensional
连锁从建的M4化合物夹心
杂多。
材料与方法
所有商业化学品购买和使用的情况下进一步净化。
K8平台并[b - GeW11O39]？ 14H2O和K8 [ç - SiW10O36]？ 12H2O合成根据
在文献[7]和红外光谱表征。元素分析（高）
手术是在一个珀金埃尔默公司2400 CHN元素分析仪，硅，锗，宽，锰，
铜，钠和钾在分析了等离子体规格（一）沪ICP原子发射
光谱仪。录得的红外光谱范围在400-4,000厘米，在Alpha 1
Centaurt金融时报/红外分光光度计采用KBr压片。热分析是进行
在珀金埃尔默TGA7文书流动加热速度与氮气
10？ç分钟- 1。电化学测量进行了一池660A
电化学工作站在室温下（25-30？C）根据氮
气氛。阿小灵通- 25B条型pH计是用于测量pH值

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