2012届高三数学一轮复习第二章函数1

由天下分享时间：2025/1/21 1:11:40 加入收藏我要投稿点赞

Manipulator is now used as a industrial robots in use, the control objectives often appear often in industrial automation. Industrial automation technology has gradually matured, as mature a technology line has been rapid development in industrial automation as a separate subject. Manipulator application began to filter into welding, logistics, mechanical processing, and other industries. Especially at high or very low temperatures, full of poisonous gases, high radiation case, robot in similar circumstances showed great use also brings great convenience to the staff. Precisely because of this robot to get people's attention began to be a high degree of development. Labor rates, working conditions, labor intensive aspects of promoting development. Both at home and abroad to develop the PLC (programmable logic controller) is in various special circumstances and under special conditions set for mechanical devices. Now turned on the development of the microelectronics automatic controltechnology and the rapid development of the trains, the success of PLC hardware software and simulation control win big and successful development, now continues to develop as a factory automation standards. Because robots are good development of the technology makes a good optimization of productive capital, and robot shows this unique advantages, such as: has good compatibility, wide availability, hardware is complete, and programming that can be mastered in a short time, so in the context of industrial PLC applications became ubiquitous. Manipulator in many developed country agriculture and industry has been applied, such as the use of mechanical harvesting large areas of farmland, repeated operations on the high-speed line that uses a robotic arm, and so on. Today, the high level of automation combined with restrictions on the manipulator development level is slightly lower than the international. The design is mainly arm welding machine by PLC Automation control. This of design let designers on in school by learn of has a must of consolidation, understand has some usually didn't opportunities awareness in world range within some leading level of knowledge has has must awareness, hope designers can in yihou of design in the can success of using in this design in the proceeds of experience 1.2 manipulator in both at home and abroad of research profile automation mechanical arm research began Yu 20th century medium-term, after years with with computer and automation technology of development, Makes mechanical arm on the Grand stage of industrial automation and shine, gradually became an industrial evaluation standards, and its importance can be seen. Now original robotic arm spent most of mass production and use on the production line, which is programmed robotic arm. As the first generation of manipulator position control systems main features, although not back several generations that can detect the external environment, but can stillsuccessfully complete like welding, painting, delivery as well as for materials simple movements. Second generation mechanical arms are equipped with sensors and manipulators have the environment there is a certain amount of \hen the mechanical arm is to use the program as a basis. Difference is that the robot begandπ

(或取f(x)＝1＋2sin2x，α＝，则g(x)＝f(x＋α)＝1－2sin2x.于是h(x)＝f(x)f(x＋α)＝

2cos4x)．

[点评] 本题中(1)、(2)问不难求解，关键是读懂h(x)的定义，第(3)问是一个开放性问题，乍一看可能觉得无从下手，但细加观察不难发现，cos4x＝cos22x－sin22x＝(cos2x＋sin2x)(cos2x－sin2x)积式的一个因式取作f(x)，只要能够找到α，使f(x＋α)等于另一个因式也就找到了f(x)和g(x)．

17．(文)某种商品在30天内每件的销售价格P(元)与时间t(天)的函数关系如图所示：

该商品在30天内日销售量Q(件)与时间t(天)之间的关系如表所示：

第t天 Q(件) 5 35 15 25 20 20 30 10 (1)根据提供的图象，写出该商品每件的销售价格P与时间t的函数关系式；

(2)在所给直角坐标系中，根据表中提供的数据描出实数对(t，Q)的对应点，并确定日销售量Q与时间t的一个函数关系式；

(3)求该商品的日销售金额的最大值，并指出日销售金额最大的一天是30天中的第几天？(日销售金额＝每件的销售价格×日销售量)

??t＋20 ?0

[解析] (1)P＝?

?－t＋100 ?25≤t≤30，t∈N??

(2)图略，Q＝40－t(t∈N*) (3)设日销售金额为y(元)，

manipulator control mode and programmable controllers introduction 2.1 Select discussion with manipulator control 2.1.1 classification of control relays and discrete electronic circuit can control old industrial equipment, but also more common. Mainly these two relatively cheap and you can meet the old-fashioned, simple (or simple) industrial equipment. So he can see them now, however these two control modes (relay and discrete electronic circuits) are these fatal flaws: (1) cannot adapt to the complex logic control, (2) only for the current project, the lack of compatibility and (3) not reforming the system with equipment improvements. Spring for the development of China's modern industrial automation technology the substantial increase in the level of industrial automation, completed the perfect relay of the computer too much. In terms of controlling the computer showed his two great advantages: (1) each of the hardware can be installed on one or more microprocessors; (2) theofficial designer of the software writing content control is all about. Now in several ways in the context of industrial automation can often be seen in three ways: (1) Programmable Logical Controller (referred to as IPC); (2) Distributed Control System (DCS for short), and (3) the Programmable Logical Controller (PLC for short). 2.1.2 PLC and the IPC and DCS contrast contrast 1, each of the three technologies of origins and development requirements for fast data processing makes it invented the computer. The men brought in terms of hardware there, using a high level of standardization, can use more compatibility tools, is a rich software resources, especially the need for immediacy in operational systems. So the computer can effectively control is used to control and meet its speed, on the virtual model, real-time and in computational requirements. Distributed system started with a control system for industrial automatic instrument used to control, whereas now it is successfully developed into industrial control computer used as a central collection and distribution system and transition of distributed control system in analogue handling, loop control, has begun to reflect the use of a huge advantage. Though distributed system has great advantages in loop regulation, but only as a means of contnuous process control. Optimization of PLC is the corresponding relay needs was born, its main use in the work order control, early primary is replaced relay this hulking system, focused on the switch controlling the running order of functions. Marked by the microprocessor in the early 1970 of the 20th century emerged, micro-electronics technology has developed rapidly, people soon microelectronics processing technology will be used in the Programmable Logical Controller (that isManipulator is now used as a industrial robots in use, the control objectives often appear often in industrial automation. Industrial automation technology has gradually matured, as mature a technology line has been rapid development in industrial automation as a separate subject. Manipulator application began to filter into welding, logistics, mechanical processing, and other industries. Especially at high or very low temperatures, full of poisonous gases, high radiation case, robot in similar circumstances showed great use also brings great convenience to the staff. Precisely because of this robot to get people's attention began to be a high degree of development. Labor rates, working conditions, labor intensive aspects of promoting development. Both at home and abroad to develop the PLC (programmable logic controller) is in various special circumstances and under special conditions set for mechanical devices. Now turned on the development of the microelectronics automatic controltechnology and the rapid development of the trains, the success of PLC hardware software and simulation control win big and successful development, now continues to develop as a factory automation standards. Because robots are good development of the technology makes a good optimization of productive capital, and robot shows this unique advantages, such as: has good compatibility, wide availability, hardware is complete, and programming that can be mastered in a short time, so in the context of industrial PLC applications became ubiquitous. Manipulator in many developed country agriculture and industry has been applied, such as the use of mechanical harvesting large areas of farmland, repeated operations on the high-speed line that uses a robotic arm, and so on. Today, the high level of automation combined with restrictions on the manipulator development level is slightly lower than the international. The design is mainly arm welding machine by PLC Automation control. This of design let designers on in school by learn of has a must of consolidation, understand has some usually didn't opportunities awareness in world range within some leading level of knowledge has has must awareness, hope designers can in yihou of design in the can success of using in this design in the proceeds of experience 1.2 manipulator in both at home and abroad of research profile automation mechanical arm research began Yu 20th century medium-term, after years with with computer and automation technology of development, Makes mechanical arm on the Grand stage of industrial automation and shine, gradually became an industrial evaluation standards, and its importance can be seen. Now original robotic arm spent most of mass production and use on the production line, which is programmed robotic arm. As the first generation of manipulator position control systems main features, although not back several generatons that can detect the external environment, but can stillsuccessfully complete like welding, painting, delivery as well as for materials simple movements. Second generation mechanical arms are equipped with sensors and manipulators have the environment there is a certain amount of \hen the mechanical arm is to use the program as a basis. Difference is that the robot begand 2*??－t＋20t＋800 ?0

2*?t－140t＋4000 ?25≤t≤30，t∈N??2*??－?t－10?＋900 ?0

???t－70?－900 ?25≤t≤30，t∈N?

若0

则当t＝10时，ymax＝900；若25≤t≤30(t∈N*)，则当t＝25时，ymax＝1125. 由1125>900，知ymax＝1125，

∴这种商品日销售金额的最大值为1125元，30天中的第25天的日销售金额最大． (理)(2010·广东六校)某西部山区的某种特产由于运输的原因，长期只能在当地销售，当1地政府通过投资对该项特产的销售进行扶持，已知每投入x万元，可获得纯利润P＝－(x

160－40)2＋100万元(已扣除投资，下同)，当地政府拟在新的十年发展规划中加快发展此特产的销售，其规划方案为：在未来10年内对该项目每年都投入60万元的销售投资，其中在前5年中，每年都从60万元中拨出30万元用于修建一条公路，公路5年建成，通车前该特产只能在当地销售；公路通车后的5年中，该特产既在本地销售，也在外地销售，在外地销售159119

的投资收益为：每投入x万元，可获纯利润Q＝－(60－x)2＋·(60－x)万元，问仅从这

160210年的累积利润看，该规划方案是否可行？

[解析] 在实施规划前，由题设P＝－(x－40)2＋100(万元)，知每年只需投入40万，

160即可获得最大利润100万元，则10年的总利润为W1＝100×10＝1000(万元)

实施规划后的前5年中，由题设P＝－(x－40)2＋100知，每年投入30万元时，有

160795

最大利润Pmax＝(万元)

7953975

前5年的利润和为×5＝(万元)

设在公路通车的后5年中，每年用x万元投资于本地的销售，而剩下的(60－x)万元用于外地区的销售投资，

则其总利润为

manipulator control mode and programmable controllers introduction 2.1 Select discussion with manipulator control 2.1.1 classification of control relays and discrete electronic circuit can control old industrial equipment, but also more common. Mainly these two relatively cheap and you can meet the old-fashioned, simple (or simple) industrial equipment. So he can see them now, however these two control modes (relay and discrete electronic circuits) are these fatal flaws: (1) cannot adapt to the complex logic control, (2) only for the current project, the lack of compatibility and (3) not reforming the system with equipment improvements. Spring for the development of China's modern industrial automation technology the substantial increase in the level of industrial automation, completed the perfect relay of the computer too much. In terms of controlling the computer showed his two great advantages: (1) each of the hardware can be installed on one or more microprocessors; (2) theofficial designer of the software writing content control is all about. Now in several ways in the context of industrial automation can often be seen in three ways: (1) Programmable Logical Controller (referred to as IPC); (2) Distributed Control System (DCS for short), and (3) the Programmable Logical Controller (PLC for short). 2.1.2 PLC and the IPC and DCS contrast contrast 1, each of the three technologies of origins and development requirements for fast data processing makes it invented the computer. The men brought in terms of hardware there, using a high level of standardization, can use more compatibility tools, is a rich software resources, especially the need for immediacy in operational systems. So the computer can effectively control is used to control and meet its speed, on the virtual model, real-time and in computational requirements. Distributed system started with a control system for industrial automatic instrument used to control, whereas now it is successfully developed into industrial control computer used as a central collection and distribution system and transition of distributed control system in analogue handling, loop control, has begun to reflect the use of a huge advantage. Though distributed system has great advantages in loop regulation, but only as a means of continuous process control. Optimization of PLC is the corresponding relay needs was born, its main use in the work order control, early primary is replaced relay this hulking system, focused on the switch controlling the running order of functions. Marked by the microprocessor in the early 1970 of the 20th century emerged, micro-electronics technology has developed rapidly, people soon microelectronics processing technology will be used in the Programmable Logical Controller (that isManipulator is now used as a industrial robots in use, the control objectives often appear often in industrial automation. Industrial automation technology has gradually matured, as mature a technology line has been rapid development in industrial automation as a separate subject. Manipulator application began to filter into welding, logistics, mechanical processing, and other industries. Especially at high or very low temperatures, full of poisonous gases, high radiation case, robot in similar circumstances showed great use also brings great convenience to the staff. Precisely because of this robot to get people's attention began to be a high degree of development. Labor rates, working conditions, labor intensive aspects of promoting development. Both at home and abroad to develop the PLC (programmable logic controller) is in various special circumstances and under special conditions set for mechanical devices. Now turned on the development of the microelectronics automatic controltechnology and the rapid development of the trains, the success of PLC hardware software and simulation control win big and successful development, now continues to develop as a factory automation standards. Because robots are good development of the technology makes a good optimization of productive capital, and robot shows this unique advantages, such as: has good compatibility, wide availability, hardware is complete, and programming that can be mastered in a short time, so in the context of industrial PLC applications became ubiquitous. Manipulator in many developed country agriculture and industry has been applied, such as the use of mechanical harvesting large areas of farmland, repeated operations on the high-speed line that uses a robotic arm, and so on. Today, the high level of automation combined with restrictions on the manipulator development level is slightly lower than the international. The design is mainly arm welding machine by PLC Automation control. This of design let designers on in school by learn of has a must of consolidation, understand has some usually didn't opportunities awareness in world range within some leading level of knowledge has has must awareness, hope designers can in yihou of design in the can success of using in this design in the proceeds of experience 1.2 manipulator in both at home and abroad of research profile automation mechanical arm research began Yu 20th century medium-term, after years with with computer and automation technology of development, Makes mechanical arm on the Grand stage of industrial automation and shine, gradually became an industrial evaluation standards, and its importance can be seen. Now original robotic arm spent most of mass production and use on the production line, which is programmed robotic arm. As the first generation of manipulator position control systems main features, although not back several generations that can detect the external environment, but can stillsuccessfully complete like welding, painting, delivery as well as for materials simple movements. Second generation mechanical arms are equipped with sensors and manipulators have the environment there is a certain amount of \hen the mechanical arm is to use the program as a basis. Difference is that the robot begand1159119

W2＝[－(x－40)2＋100]×5＋(－x2＋x)×5＝－5(x－30)2＋4950.

1601602当x＝30时，W2＝4950(万元)为最大值， 3975

从而10年的总利润为＋4950(万元)．

83975∵＋4950>1000， 8

∴该规划方案有极大实施价值．