对数与对数运算

　 《对数与对数运算（一）》的教学设计 贵州省松桃县第三高级中学 唐勇教学课题《对数与对数运算（一）》教材分析“对数与对数运算” 作为高一新教材的内容，被安排在第一册第二章《基本初等函数》的第二节，共分三个课时完成,对数概念为第一课时。对数概念对于高一的同学来讲是一个全新的概念。此前，学生已学习了指数及指数函数，明白了指数运算是已知底数和指数求幂值，而对数则是已知底数和幂值求指数，二者是互逆的关系。对数的概念的引入，以凸显高中数学新课程理念中的“运算思想”和“函数思想”,对数的概念的学习，既加深了学生对指数的理解，又为后面对数的运算性质及对数函数的学习做了充分准备，起到了承上启下的重要作用。教学目标知识与技能理解对数的概念，了解对数运算与指数运算互逆关系，掌握对数式与指数式的互化。过程与方法通过教学,培养学生类比、分析、转化能力,提高理解和运用数学符号的能力,进一步掌握“运算思想”和“函数思想”。情感态度与价值观通过对数概念的建立，树立事物的辩证发展和矛盾转化的观点，培养学生科学严谨的治学态度. 教学重点对数的概念，对数式与指数式的互化。教学难点对数概念的理解。教 学 过 程教学预案设计意图一、创设情景，导入新课 问题1 根据国务院发展研究中心2000年发表的《未来20年我国发展的前景分析》，2000年我国GDP为a亿元，如果每年平均增长率为7.3%，那么经过多少年GDP是2000年的2倍？分析:设经过X年,则有: 整理得：问题2 探究2，3，8之间存在的运算关系① 2，3两个数通过什么运算可以得到8？如何表示？ 答：2的3次方等于8，是乘方运算，表示为：② 8，3两个数通过什么运算可以得到2？如何表示？答：8的3次方根等于2，是开方运算，表示为：③ 2，8两个数通过什么运算可以得到3？如何表示？怎么办？怎么办？探索新知教师：通过指数函数的学习，我们解决了已知底数和指数求幂值的问题，那么已知底数和幂值，又如何来求指数呢？在已学习整数的基础上，为了解决方程的解，我们引入了分数的学习，在已学习正数的基础上，为了解决方程的解，我们引入了负数的学习，在已学习有理数的基础上，为了解决方程的解，我们引入了无理数的学习，那么，我们现在要解决形如 的方程，我们又该如何呢？学生：要引入新的运算。探究：新运算怎样构建？（1）新运算与指数运算有关，两者到底有何关系？（引导学生从运算观点和对应关系两方面来考虑）教师：从运算观点看，在给定的条件下，已知 求和已知求是一对互逆运算；从对应关系看，在给定的条件下，指数运算是从集合到集合的一个对应关系，而新运算则是从集合到集合的一个逆对应。教师：很好！通过上面的分析，我们将要定义的新运算是可行的，新运算是一种逆对应关系，我们不妨称新运算为对数运算。以前，我们学过一些互逆运算，如，我们发现互逆运算符号之间有相近之处，那么，作为对数运算的符号就应该与指数运算有相近之处，从方程的格式看，在的头上，故当拿下来时，还应该比的地位要高。我们数学的历史当中，有一位数学家也给对数作了定义，他就是对数的创始人——苏格兰数学家纳皮尔（Napier，1550年-1617年）。他发明了供天文计算作参考的对数，并于1614年在爱丁堡出版了《奇妙的对数定律说明书》，公布了他的发明。恩格斯把对数的发明与解析几何的创始，微积分的建立并称为17世纪数学的三大成就。他取用拉丁文logarithm (对数)的前三个字母，记1、对数的定义：一般地，如果,那么数就叫做以为底的对数(logarithm)，记作：（其中为对数的底数，为真数）注意：①底数的限制: ②对数的书写格式例如： 对 数为什么限制这是因为能小于零或等于零吗?（不能，这是因为,）结论：对数式中真数要大于零。（也就是说零和负数没有对数！）思考（1）：根据定义，请说出对数式和指数式的对应关系。学生：式子名称指数式底数指数幂值对数式底数对数真数2.两个重要的对数：其实在生活中，这两种函数广泛应用于天文、地震、考古等等，为此我们把以10为底的对数叫作常用对数，记；把以e为底的对数叫作自然对数，记（e为无理数 e = 2.71828……）三、例题讲解，规律探究例题讲解：例1 将下列指数式写成对数式： （1） （2） （3） （4） 例2 将下列对数式写成指数式：（1） （2）（3）（4） 点评： 指数式与对数式的互化关键是抓住对数式和指数式的关系，弄清楚各个量在对应式子中扮演的角色。例3、求下列x的值（1）（2）（3） （4）教师：通过上题的学习，（2）中要注意的取值范围，同时，我们可以 发现：在三数中知二求一的运算实质分别为乘方、开方、求对数。四、探究：牛刀小试——求下列各式的值。（1）（2）通过第（1）、（2）中各四个小题的练习，你发现了什么规律，这个规律你认为正确吗？请说出理由。学生： ，理由：指数函数恒过定点（0，1）与（1，a），故,问题1、2的解决用计算机计算得：③ 2，8两个数通过什么运算可以得到3？如何表示？答：以2为底8的对数等于3，是对数运算，表示为：五、课堂练习求下列各式的值： 六、课堂小结1.我们今天学习了对数,为什么要引入对数啊?2. 对数的定义3. 数式和指数式之间的关系4．对数的性质及探究得到的数学恒等式5. 数学思想：类比思想、运算思想和函数思想。

　解题思想：在三数中知二求一的运算实质分别为乘方、开方、求对数。教师：最后，送给大家一句话：善于观察勤于思考敢于猜想的人，往往能冒出创造的灵感火花。

　培养学生观察发现、归纳类比、概括抽象、符号表示等数学思维能力。

　发挥学生的主体作用，培养学生的问题意识，鼓励学生发展逆向思维。

　引导学生抽象出数学问题，通过数学问题的构建，引导学生如何解决已知底数和幂值，来求指数的问题。通过指数式和对数式的对比理解各个系数的位置让学生自主探究，自我发现归纳出对数的性质。

　用一句话结束，鼓励学生善于观察勤于思考敢于猜想，激烈学生不断向前。作业设计（一）必做 1、复习本节课的内容； 2、课本P74习题2.2 A组 第1、2题 （写在作业本上）；（二）选做 （三）思考题： 1、已知,，求的值. 2、求对数式中x的范围 心得反思 富有启发性、探究性的数学教学常常隐含着丰富的隐性课程，这是灌输式教学无法比拟的。在教学中，我运用适当的教学策略启动学生的数学思维，用数学问题推动教学进程，学生参与知识的形成过程，使学生听有所思，思有所获，增强学生学习数学的信心和兴趣。我对教学的主导性和学生学习的主体性得到了统一，隐含在数学知识发生、发展过程中的思想方法、能力体系、价值观念、思维方式、和数学内在的理性精神、创新精神得到充分的孕育。本节课中，特别设计了新运算构建的探究，让学生体验数学发现和创造的历程，实行开放式教学，但学生还不够大胆，今后在这方面还得加强培养。

　Manufacturing transformation and development planning1 comprehensive strength of the manufacturing industry to upgradeRelying on good traffic conditions and location advantages of the industrial base, the manufacturing industry comprehensive strength steadily, the total size of the total, technical level, economic benefits and so on in the country has become the cornerstone of the precedent, the city's economic and social development and an important support. "12th Five-Year" period, the total industrial added value, the average annual growth rate of dada%, the amount of the total amount of investment of the city's industrial enterprises with an average annual growth rate%, above scale industrial enterprises realized a total profit of the average annual growth rate of%.xx years, the city's above scale industrial output mode billion yuan output value of over 80 billion yuan of industrial dada to 8, above scale industrial added value billion yuan, industrial growth. Added value accounted for GDDP%, the resident population per capita GDP reached million, ranked second in XXX Province, the national large and medium-sized cities in the forefront.2 continuous optimization of industrial structureThe benefit oriented, high end orientation and the direction of intensive development, gradually increase efforts to promote the transformation of industrial structure adjustment and optimization of industry has made remarkable achievements. As to XX, machinery, textile, petrochemical, metallurgy and electronics and other 55 pillar industries above scale industrial output value at current prices billion yuan, accounting for the proportion of for the high-tech industry output value accounted for%. The proportion of above scale industrial output value reached%, one percentage point increase over 2010. Sensor network innovation shows the construction of the demonstration zone to promote the smooth, emerging industry gradually expand the scale of production is expected to total output average growth rate, new energy, new materials, energy saving and environmental protection, Internet of things, the rapid development of microelectronics and other emerging industries, has become an important field of XX industrial transformation and upgrading.3 innovation capacity significantly improvedSeize the new round of the wave of technological innovation brings plenty of historical opportunity, in-depth implementation of innovation driven development strategy for the manufacturing industry's innovation and transformation and upgrading provides a strong intellectual support for the.Xx year, R & D expenditure accounting for the main business service income ratio reached%, among the province's first patent. The application amounted to 224197, the right amount of invention patents reached 5480, 000 people obviously patent has reached 25, are located in the forefront of the province of.Xx has a provincial engineering technology research centers heart 506, country, provincial high technology research key laboratory 10, International cooperation base, 9 national, provincial, foreign R & D center 41, provincial and international technology transfer center 8, selected "research research institutions" key enterprises XX 84. Tsinghua University, South, Fudan University, Harbin Institute of technology, Huazhong University of science and technology, Northeastern University and other colleges and universities have been set up in the XXX Research Institute.4 green manufacturing results significantly"XXX water crisis", energy saving and environment protection increasing pressure, vigorously promote the green, low-carbon, circular ring production mode, adhere to energy-saving emission reduction, the implementation of energy control, improve the energy source utilization rate of.Xx years, the city unit of GDP energy consumption decreased 20%, increase the added value of industrial energy consumption per ton standard coal / million. "" 12th Five-Year "period, the cumulative unit of GDPP energy consumption decreased percent, energy consumption consumption value XX lowest decline of XX south, South first. The elimination of backward production capacity can work orderly, shut down 8823 enterprises, 852 enterprises for rectification of family, eliminate backward production capacity of cement 75 million 770 thousand Tons, dyeing 244 million 600 thousand meters, 100 thousand tons of chemical fiber, Leather 3 million standard sheets, paper million tons, 2 million 280 thousand tons of steel, 106 battery Wanqianqian KVA, 200 thousand tons of steel casting, resolve the production capacity of 3 million 370 thousand tons, cement production capacity of 710 thousand tons, completed ahead of schedule into "12th Five-Year" planning objectives.5 enterprise vitality is increasingThe emergence of a number of key enterprises in the industry a lot of industries, some have developed into the world class level leading enterprises and leading enterprises. The key point of enterprises in technological innovation, product development, market development, has played an important leading role for.Xx and other aspects of social responsibility, listed 15 companies around the "top 500 enterprises Chinese" listed 221 companies "Chinese manufacturing enterprise 500 strong", all year for nine consecutive years, ranking first in the province. The city's domestic and foreign listed enterprises amounted to 94, ranked in the prefecture level city in the forefront. The integration of military and civilian combined to accelerate, the number of the city's participation in scientific research and production of weapons equipment industry the advantages of private enterprises Year after year, through the confidential qualification certification enterprises ranked 22 in the province.Two 6 integration steadily intoAs a national integration of the two test area, has been to two of the depth of financial integration and enhance the core competitiveness of enterprises as an important starting point, to accelerate the transformation of development mode. The information of all business to achieve the city's more than 80% large-scale enterprises, a total of at or above the provincial level demonstration pilot enterprises, 250 enterprises, including 22 national. Fusion demonstration of 4 enterprises, the provincial demonstration integration of the two test, Park 8. Baidu and Alibaba, Pakistan, Chinese manufacturing network, China network library and so on enterprises to carry out in-depth cooperation, support enterprises with the development of electronic commerce, there have been 4 enterprises selected for the national e-commerce service integrated innovation pilot .In a comprehensive summary of the "12th Five-Year" achievement at the same time, should also see some problems still exist in the development of XX manufacturing industry, difficulties and contradictions, need to be solved in the "Shisansanwu" period. The main is: not many major industrial projects, lack of a group with strong power, high output level large projects the industrial economic growth. Lack of weak industrial products to the intermediate product, the added value is not high. The emerging industry is small, difficult to support the city's economic growth. Science and technology innovation ability is not strong, high dependence on foreign technology, high level talent shortage. Excess capacity in some industries, some enterprise production and management difficulties. These difficulties all Urgent need to be addressed in the future development of the exhibition.1 from the global perspective, a new round of scientific and technological revolution and the rise of industrial change, to bring significant strategic opportunities for the transformation of the XXX industryThe development mode of the industry will undergo profound changes. When a new round of technological revolution in the application of the new generation of information technology integration as the core feature, "Internet plus" has become an important direction of industrial development. The high-end, smart, green, as the service has become a new trend of industrial development; the Internet network to break the constraints of time, the world famous enterprises and enterprises to achieve global collaborative design and production; intelligent manufacturing technology in the design, development, application, manufacturing and other aspects of the daily trend of generalization deepening; based on fusion, and services, new formats and new model into a platform for the new form of industry.The industrial division of labor and competition face remodeling. Europe and other developed countries to implement the "re industrialization strategy, trying to consolidate its leading position; emerging economies have focused on the implementation of catch-up strategy, competition to seize the high-end manufacturing areas to accelerate the end of a space for one person. To developed countries" reverse transfer, emerging countries rely on information the comparative advantage of labor resources, to attract international investment led shunt. Significant changes in Global trade investment system, the United States actively promote the TPP and TTIIP as the core of the trade and investment heavy order reconstruction, the future of China's foreign trade and absorbing the international direct investment is facing greater pressure.At present, the development of the XX industry development level in the nation, with the foundation and conditions follow a new round of revolution of science and technology revolution and industry industry, to seize the great opportunities in grasping the concept of development, innovation, production mode and format to change the strain, the first action, to create new competitive advantages of industry competition. At the same time. Despite the change of international trade and investment will lead to industrial growth slowed to put XXX of export-oriented industries, jobs and social challenges, increase the risk of wind, but also bring down forced backward industries and low added value of industry chain, promote industrial restructuring and upgrading opportunities.2 from across the country, China's economic development has entered a new normal norm, put forward urgent requirements of development quality and efficiency of quality industry in XX CityThe industrial economy is facing multiple conversion speed, structure and power. China's economic development has entered a new norm, is to form a higher division of advanced, more complex, more reasonable structure can decrease the growth rate of stage evolution. It may lead some challenges to There's no telling war, a variety of factors, constraints tightening, road development the traditional expansion gets narrower. Must take the innovation as the new engine driven by economic development, speeding up the drive to convert from elements of the scale of investment driven development to the development of innovation driven development based principal.The supply and demand of the market environment has changed greatly. Different from the demand side, the grade and residents' demand structure has undergone significant changes, the basic medium has been close to the level of developed countries, the individuality has become the competitiveness of products to reflect the heavy, large quantity of products demand is gradually being customized by small batch of personality replace. See from the aspect of supply, supply of existing products can not meet the rapid escalation of market demand, the lack of effective supply, supply mode and become the deep level reason of industrial economic downturn. Through product innovation arousing potential consumer market, stimulate investment demand, increase effective supply, has It has become an important direction to boost China's industrial economy.Industrial transformation and upgrading by elements to resource constraints more urgent. I China's per capita fresh water, arable land, forest resources is only the world average level of 28%, 40%, 25%%, oil, iron ore, copper and other important mineral resources per capita reserves respectively for the world average level%. 117%, 17%, the traditional industry has been difficult to support resources and high energy consumption. The long-term accumulation of environmental conflicts are concentrated, serious pollution of the atmosphere pollution has become a national environmental and social problems, water pollution, soil pollution is more prominent, increasingly, the industry restructuring and development to put forward urgent Pray.To deepen the reform, formation and development of new power will be the "13th Five-Year" industrial development in China. The theme of the next five years, XX industry development must establish the new ideas of thinking, to adapt to and guide the new norm as macro logic of industrial development, breaking the current resource bottleneck was completed, speed, actively and steadily. The structural change, multiple motive etc... to make good use of the big deployment of national level of the market and institutional environment of product of positive influence, seize the opportunity to expand the space of domestic development, focus on structural optimization, attention to enhance the quality, focus on environmental improvement, fully activate the development of energy industry xx, Provide continuous power for industrial upgrading.3 from the city to see, XX course of economic development, natural endowment and location, determine the XX must take industrial strong city roadRaise the level of independent innovation opportunities of the industrial structure of.Xxx is two, three, and a "heavy chemical characteristics of industrial scale manufacturing characteristic is apparent, especially in the equipment manufacturing sector, in the province and even the whole country has comparative advantage. To firmly firmly grasp the national independent innovation demonstration in South XX area XX sensor network innovation demonstration zone construction in a major strategic opportunity, perfect the system of innovation incentive mechanism, increasing the field of manufacturing and innovation investment, enhance the innovation output, stimulated to stimulate innovation and vitality, enhance innovation and lead development ability.The critical period of building a modern industry to develop new heights. From now until 2020, XXX should strive to build a "new Qiang Fu makall" XX, a high level of comprehensive well-off well-off society. The manufacturing industry is still an important force to promote sustained and healthy economic and social development xxx not indispensable, is to promote the XX economy jumped to a higher level basic support. To accelerate industrial restructuring and upgrading, stronger advanced manufacturing industry, fostering the growth of strategic emerging industries, accelerate the development of modern service industry, push to promote the establishment of innovation ability, quality benefit, structure reasonable layout, sustainable development and international competitive production A new system of industry, revitalize the vibration XX industry glory on the new starting point.Full integration into the national strategy of regional development gold period.Xx geographical advantages are obvious, and the historical and cultural heritage, has strong strong industrial strength and potential development of..xx should be fully docking "The Belt and Road Road, the Yangtze River economic belt, the Yangtze River Delta region a major strategic integration area, strengthen the strong docking with Shanghai, enhance with XXX, XX and even the entire north Yangtze River Basin industrial collaboration, open economy, to a higher level of development, and actively promote international industrial cooperation, the formation of a higher level and wider domain opening pattern.The next five years, XX must be the quasi future trend direction, continue to play in the field of manufacturing characteristics and advantages, will revive the industry itself as XX wind is the center of economic development as task, promote the industrial structure from low-end to high-end forward end, to create new heights of development of modern industry.Comprehensive implementation of the party's eighteen and eighteen session of the 33, fourth, Fifth Plenary Session spirit, foster innovation, harmony, green, open, sharing development idea, firm not to shift industries of City Road, take the initiative to melt into the global industrial division system, comprehensive implementation of the "made in China" and 2025 "XX the platform for action, to the depth of information technology and industrialization integration as the main line, in order to improve the quality and efficiency of economic development benefits as the center, and actively develop new industries, new technologies, new formats and new models, and vigorously promote industrial intelligent, green color, services, high-end development, and to build in emerging industries for the pilot to guide. As the main body of modern manufacturing, modern service industry as the support of the new modern industrial system, the XX to create a domestic first-class, internationally influential manufacturing city, revitalize the vibration XX industry glory in the new starting point for the construction of "the economy is strong, rich people, beautiful environment, social civilization degree is high" the new XX solid solid strong industrial base.Accelerate the innovation development, the implementation of talent drive. Firmly adhere to the development on the basis of innovation, and vigorously promote the comprehensive innovation in science and technology innovation as the core of the nucleus, since the focus on enhancing the capability of independent innovation, get rid of institutional system obstacles, to maximize the liberation and shock to stimulate innovation and vitality, accelerate the formation of innovation as the main leading and support the economic system and mode of development. Strengthening of "talent is the first resource" the idea, focus on the development of needs and direction of innovation, efforts to consolidate the foundation of science and education, optimize the talent environment, to create a high level of innovation of new talents for sustained economic and social healthy development continued to provide strong support.Play to the market mechanism, the transformation of government function. Focus on the decisive role of the market in resource allocation and better play the role of government, strengthen the supply of supply side reform, improve the quality and efficiency of the supply system, co-ordinate the use of economic, legal, policy and means, strengthen the guide and regulate the industry, promote the optimization the upgrading of the industrial structure industry. The implementation of negative list management clear, to further eliminate the obstacles of scientific development system, continuous development and promotion to stimulate the vitality of market players.Grasp the direction of development, firmly adhere to guidance. Based on the basis of the existing industry system and development, accurately grasp the main direction of holding a new round of technological revolution and the industrial revolution leather, strengthen strategic planning and forward-looking deployment, increase investment in innovation, enhance innovation output, stimulate a new vitality, stronger in advanced manufacturing industry, fostering the growth of strategic emerging industries, accelerate the development of producer services, promote industrial system to the reasonable structure, development, agglomeration, clear competitive advantage in the direction of development.To promote energy conservation, improve the ecological benefits. Firmly establish the concept of green development, unswervingly walk the green development, development cycle, low carbon development, increase energy conservation and pollution remediation efforts in resource saving, environment friendly, basis to improve the efficiency rate of the ecosystem, improve the quality and efficiency of development, strengthen the sustainable development the ability to force.Optimization of space layout, and promote regional cooperation. With the layout of concentration, land intensive, industrial cluster, cluster development oriented, optimize industrial park space layout, cultivate advantageous industry clusters, the formation of industrial development is relatively concentrated, production integration of the city space layout good interaction between elements, through the integration of resources. Expand the market space, improve the regional influence and competitiveness.To 20220when the Terminal level when installed on the line number (Word) should be arranged from top to bottom. 6.4.4 cable core must be completely loose and straight, but not damage the insulation and core. Core bundle of the same plate vertically or horizontally arranged1Manufacturing transformation and development planning1 comprehensive strength of the manufacturing industry to upgradeRelying on good traffic conditions and location advantages of the industrial base, the manufacturing industry comprehensive strength steadily, the total size of the total, technical level, economic benefits and so on in the country has become the cornerstone of the precedent, the city's economic and social development and an important support. "12th Five-Year" period, the total industrial added value, the average annual growth rate of dada%, the amount of the total amount of investment of the city's industrial enterprises with an average annual growth rate%, above scale industrial enterprises realized a total profit of the average annual growth rate of%.xx years, the city's above scale industrial output mode billion yuan output value of over 80 billion yuan of industrial dada to 8, above scale industrial added value billion yuan, industrial growth. Added value accounted for GDDP%, the resident population per capita GDP reached million, ranked second in XXX Province, the national large and medium-sized cities in the forefront.2 continuous optimization of industrial structureThe benefit oriented, high end orientation and the direction of intensive development, gradually increase efforts to promote the transformation of industrial structure adjustment and optimization of industry has made remarkable achievements. As to XX, machinery, textile, petrochemical, metallurgy and electronics and other 55 pillar industries above scale industrial output value at current prices billion yuan, accounting for the proportion of for the high-tech industry output value accounted for%. The proportion of above scale industrial output value reached%, one percentage point increase over 2010. Sensor network innovation shows the construction of the demonstration zone to promote the smooth, emerging industry gradually expand the scale of production is expected to total output average growth rate, new energy, new materials, energy saving and environmental protection, Internet of things, the rapid development of microelectronics and other emerging industries, has become an important field of XX industrial transformation and upgrading.3 innovation capacity significantly improvedSeize the new round of the wave of technological innovation brings plenty of historical opportunity, in-depth implementation of innovation driven development strategy for the manufacturing industry's innovation and transformation and upgrading provides a strong intellectual support for the.Xx year, R & D expenditure accounting for the main business service income ratio reached%, among the province's first patent. The application amounted to 224197, the right amount of invention patents reached 5480, 000 people obviously patent has reached 25, are located in the forefront of the province of.Xx has a provincial engineering technology research centers heart 506, country, provincial high technology research key laboratory 10, International cooperation base, 9 national, provincial, foreign R & D center 41, provincial and international technology transfer center 8, selected "research research institutions" key enterprises XX 84. Tsinghua University, South, Fudan University, Harbin Institute of technology, Huazhong University of science and technology, Northeastern University and other colleges and universities have been set up in the XXX Research Institute.4 green manufacturing results significantly"XXX water crisis", energy saving and environment protection increasing pressure, vigorously promote the green, low-carbon, circular ring production mode, adhere to energy-saving emission reduction, the implementation of energy control, improve the energy source utilization rate of.Xx years, the city unit of GDP energy consumption decreased 20%, increase the added value of industrial energy consumption per ton standard coal / million. "" 12th Five-Year "period, the cumulative unit of GDPP energy consumption decreased percent, energy consumption consumption value XX lowest decline of XX south, South first. The elimination of backward production capacity can work orderly, shut down 8823 enterprises, 852 enterprises for rectification of family, eliminate backward production capacity of cement 75 million 770 thousand Tons, dyeing 244 million 600 thousand meters, 100 thousand tons of chemical fiber, Leather 3 million standard sheets, paper million tons, 2 million 280 thousand tons of steel, 106 battery Wanqianqian KVA, 200 thousand tons of steel casting, resolve the production capacity of 3 million 370 thousand tons, cement production capacity of 710 thousand tons, completed ahead of schedule into "12th Five-Year" planning objectives.5 enterprise vitality is increasingThe emergence of a number of key enterprises in the industry a lot of industries, some have developed into the world class level leading enterprises and leading enterprises. The key point of enterprises in technological innovation, product development, market development, has played an important leading role for.Xx and other aspects of social responsibility, listed 15 companies around the "top 500 enterprises Chinese" listed 221 companies "Chinese manufacturing enterprise 500 strong", all year for nine consecutive years, ranking first in the province. The city's domestic and foreign listed enterprises amounted to 94, ranked in the prefecture level city in the forefront. The integration of military and civilian combined to accelerate, the number of the city's participation in scientific research and production of weapons equipment industry the advanta