伤城文章网 > 数学 > 《步步高 学案导学设计》2013-2014学年 高中数学人教B版必修4第一章 1.3.1正弦函数的图象与性质(四)

《步步高 学案导学设计》2013-2014学年 高中数学人教B版必修4第一章 1.3.1正弦函数的图象与性质(四)


Manipulator is now use d as a industrial robots in use, t he control obje ctives ofte n appear often in i nd ustrial a utomation. Industrial automati on technology has gradually matured, a s mature a technology line has bee n rapid develo pment i n industrial a utomation as a se parate subje ct. Manipulator appli cation began t o filter into wel ding, l ogisti cs, mechani cal pr oce ssing, and other industries . Especially at hig h or very l ow temperature s, full of poisonous gase s, hig h radiation cas e, r obot in simil ar circumstances s howe d great us e also bring s great conv enie nce t o the staff. Precise ly becaus e of this robot t o get people's attenti on began to be a hig h degre e of devel opment . La bor rates, w orking conditions, la bor inte nsive a spe cts of pr omoting development. Bot h at home a nd a broad t o devel op the PLC (programmable l ogic contr oller) is in various s pe cial cir cumstan ces a nd under s pecial conditions s et for mecha nical device s. Now tur ned on the devel opme nt of the microelectronics aut omatic control technology a nd t he rapid devel opment of the trains, t he success of PLC hardware software and simulati on contr ol win big and succe ssful development, now conti nue s to devel op a s a factory aut omation sta ndar ds. Be caus e robots are good development of the te chnol ogy makes a good optimization of productive capital , and robot shows thi s unique adva ntages, s uch as: ha s good compati bility, w ide availa bility, hardware is complete, a nd programming that ca n be mastered in a s hort time, s o in t he context of industrial PLC a ppli cations became ubiquitous. M ani pulator i n many devel ope d country agriculture a nd industry has been a ppli ed, s uch as the use of mecha nical harvesting large area s of farmland, re peated operations on the high -s peed li ne that uses a r oboti c arm, and so on. Today, t he hig h level of automati on combi ned wit h restricti ons on t he mani pula tor development level i s slightly low er than t he inter national. The desig n is mainly arm wel ding ma chi ne by PLC A utomation control. T his of design let desig ners on in s chool by learn of has a must of consoli dation, understa nd has s ome us ually di dn't opportunities aware nes s in worl d range wit hin s ome leading level of knowle dge ha s has must awarene ss, hope desig ners can i n yihou of de sign i n the ca n s uccess of using i n this desig n i n the pr ocee ds of experience 1.2 ma nipulator in bot h at home a nd a broad of research profile a utomation mechani cal arm research bega n Yu 20t h ce ntury medi um-term, after years with wit h com puter a nd a utomation technol ogy of devel opme nt, Makes mecha nical arm on the Gra nd stage of ind ustrial automation and shi ne, gradually became a n industrial eval uation standards, a nd it s importa nce can be see n. Now origi nal roboti c arm spe nt most of mass pr oducti on a nd use on the producti on li ne, w hich is pr ogrammed robotic arm. As t he first generation of manipulator positi on contr ol sys tems main features, althoug h not back sev eral generatio ns that can detect the external envir onment , but can still successf ully com plete like wel ding, painti ng, del ivery as well as for materials simple moveme nts. Se cond generation me cha nical arms are equipped wit h sensors a nd ma nipulators hav e the envir onme nt there is a certain amount of "sense", w hen the mechani cal arm is to use the program as a ba sis . Difference is that t he robot bega nd

1.3.1
一、基础过关

正弦函数的图象与性质(四)

π? 1. 要得到 y=sin? ?x-3?的图象,只要将 y=sin x 的图象 π A.向左平移 个单位长度 3 π B.向右平移 个单位长度 3 π C.向左平移 个单位长度 6 π D.向右平移 个单位长度 6 π? 2. 为了得到函数 y=sin? ?2x-6?的图象,可以将函数 y=cos 2x 的图象 π A.向右平移 个单位长度 6 π B.向右平移 个单位长度 3 π C.向左平移 个单位长度 6 π D.向左平移 个单位长度 3 π 3. 为得到函数 y=cos(x+ )的图象,只需将函数 y=sin x 的图象 3 π A.向左平移 个单位长度 6 π B.向右平移 个单位长度 6 5π C.向左平移 个单位长度 6 5π D.向右平移 个单位长度 6 π? π 4. 把函数 y=sin? ?2x-4?的图象向右平移8个单位,所得图象对应的函数是 A.非奇非偶函数 B.既是奇函数又是偶函数 C.奇函数 D.偶函数

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π 5. 将函数 y=sin 2x 的图象向左平移 个单位,再向上平移 1 个单位,所得图象的函数解析 4
m anipulat or control mode and pr ogrammable controll ers introduction 2.1 Sele ct di scussi on wit h manipulator contr ol 2.1 .1 cla ssification of control relay s and dis crete ele ctroni c cir cuit ca n control old i ndustrial equipme nt, but also mor e common. Mai nly the se two relatively chea p and you can mee t the old-fashi one d, simpl e (or simple) industrial equi pment. S o he can s ee them now, however thes e two control m ode s (relay and di screte ele ctronic circuit s) are these fatal flaws: (1) cannot ada pt to the compl ex logic contr ol, (2) only for the curre nt proje ct, the la ck of compati bility and (3) not reforming the system with e qui pment improveme nts. S pring for the development of China' s moder n industri al automati on technology the substantial i ncrea se in t he level of industria l automation, complete d the perfect relay of the computer too much. In terms of controll ing the computer s howe d his two great adva ntages: (1) each of the har dware can b e installe d on one or more micr opr oces sors ; (2) the 。 转 好 定 稳 势 形 产 生 安 域 领 行 个 动 推 降 下 继 量 总 保 故 事 上 以 较 制 遏 , 管 监 节 环 等 作 殊 特 和 区 地 ”、 大 一 点 重 “两 化 强 续 持 ; 任 责 体 主 业 企 实 落 面 全 official desig ner of the s oftware writing conte nt control is all a bout. Now in several ways in t he context of industrial a utomation ca n often be see n in three way s: (1) Programmable Logical Controller (referred to as I PC); (2) Distributed Contr ol System (DCS for short), and (3) the Programmabl e Logi cal Contr oller (PLC for short ). 2.1.2 PLC a nd t he IPC and DCS contrast contrast 1 , each of the three te chnol ogies of origins a nd development re quirement s for fast data processi ng makes it invente d the computer. T he men br oug ht in terms of har dware there, usi ng a high l evel of standardizati on, can use more compati bility tools, is a ri ch s oftware resource s, es pecially t he nee d for immediacy i n operational systems. S o the computer can effectively contr ol is used to control and meet its speed, on the virtual model, real -time and i n computati onal re quireme nts. Distr ibute d system started wit h a contr ol system for industrial a utomatic instrument use d to control, w hereas now it i s succe ssfully developed int o industrial control computer use d as a central colle ction a nd distri bution system and transiti on of distributed contr ol system in a nalog ue ha ndli ng, l oop control, has beg un t o reflect the use of a huge adva ntage. Thoug h distri bute d system has great adva ntages in l oop regulati on, but only as a means of conti nuous process contr ol. Optimization of PLC is the corre sponding relay nee ds wa s bor n, its main use i n the w ork order control, early primary is repla ced relay this hulking system, focus ed on the s witch controlli ng the runni ng order of functi ons. Marked by the micr oproces sor i n the early 197 0 of the 20th cent ury emerged, micr o-el ectronics technol ogy ha s devel ope d rapi dly, people s oon microel ectronics proces sing technology w ill be used i n the Programm able Logi cal Controller (that is

Manipulator is now use d as a industrial robots in use, t he control obje ctives ofte n appear often in i ndustrial a utomation. In dustrial automati on technology has gradually matured, a s mature a technology line has bee n rapid development i n industrial a utomation as a se parate subje ct. Manipulator appl i cation began t o filter into wel ding, l ogisti cs, mechani cal pr oce ssing, and other industries . Especially at hig h or very l ow temperature s, full of poisonous gase s, hig h radiation cas e, robot in simil ar circumstances s howe d great us e also bring s great conv enie nce t o the staff. Precise ly becaus e of this robot t o get people's attenti on began to be a hig h degre e of devel opment . La bor rates, w orking conditions, la bor inte nsive a spe cts of pr omoting development. Bot h at home a nd a broad t o devel op the PLC (programm able l ogic contr oller) is in various s pe cial cir cumstances a nd under s pecial conditions s et for mecha nical device s. Now tur ne d on the devel opme nt of the microelectronics aut omatic control technology a nd t he rapid devel opment of the trains, t he success of PLC hardware software and simulati on contr ol win big and succe ssful development, now conti nue s to devel op a s a factory aut omation sta ndar ds. Be caus e robots are good development of the te chnol ogy makes a good optimization of productive capital , and robot shows thi s unique adva ntages, s uch as: ha s good compati bility, w ide availa bility, hardware is complete, a nd programming that ca n be mastered in a s hort time, s o in t he context of industrial PLC a ppli cations became ubiquitous. M ani pulator i n many devel ope d country agriculture a nd industry has been a ppli ed, s uch as the use of mecha nical harvesting large area s of farmland, re peated operations on the high-s peed li ne that uses a r oboti c arm, and so on. Today, t he hig h level of automati on combi ned wit h restricti ons on t he mani pula tor development level i s slightly low er than t he inter national. The desig n is mainly arm wel ding ma chi ne by PLC A utomation control. T his of design let desig ners on in s chool by learn of has a must of consoli dation, understa nd has s ome us ually di dn't opportunities aware nes s in worl d range wit hin s ome leading level of knowle dge ha s has must awarene ss, hope desig ners can i n yihou of de sign i n the ca n s uccess of using i n this desig n i n the pr ocee ds of experience 1.2 ma nipulator in bot h at home a nd a broad of research profile a utomation mechani cal arm research bega n Yu 20t h ce ntury medi um -term, after years with wit h com puter a nd a utomation technol ogy of devel opme nt, Makes mecha nical arm on the Gra nd stage of industrial automation and shi ne, graduall y became a n industrial eval uation standards, a nd it s importa nce can be see n. Now origi nal roboti c arm spe nt most of mass pr od ucti on a nd use on the producti on li ne, w hich is pr ogrammed robotic arm. As t he first generation of manipulator positi on contr ol sys t ems main features, althoug h not back sev eral generations that can detect the external envir onment , but can still successf ully com plete like wel ding, painti ng, del ivery as well as for materials simple moveme nts. Se cond generation me cha nical arms are equipp ed wit h sensors a nd ma nipulators hav e the envir onme nt there is a certain amount of "sense", w hen the mechani cal arm is to use the program as a ba sis . Difference is that t he robot bega nd

式是 A.y=cos 2x π C.y=1+sin(2x+ ) 4 B.y=1+cos 2x D.y=cos 2x-1

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6. 函数 y=sin 2x 图象上所有点的横坐标变为原来的 2 倍,纵坐标不变,所得图象的函数 解析式为 f(x)=____________. 7. 某同学给出了以下论断: π ①将 y=cos x 的图象向右平移 个单位,得到 y=sin x 的图象; 2 ②将 y=sin x 的图象向右平移 2 个单位,可得到 y=sin(x+2)的图象; ③将 y=sin(-x)的图象向左平移 2 个单位,得到 y=sin(-x-2)的图象; π? π ④函数 y=sin? ?2x+3?的图象是由 y=sin 2x 的图象向左平移3个单位而得到的. 其中正确的结论是______(将所有正确结论的序号都填上). π? 8. 怎样由函数 y=sin x 的图象变换得到 y=sin? ?2x-3?的图象,试叙述这一过程.

二、能力提升 π? π? ? 9. 为了得到函数 y=sin? ?2x-3?的图象,只需把函数 y=sin?2x+6?的图象 π A.向左平移 个单位长度 4 π B.向右平移 个单位长度 4 π C.向左平移 个单位长度 2 π D.向右平移 个单位长度 2 π? 10.要得到函数 y= 2cos x 的图象,只需将函数 y= 2sin? ?2x+4?图象上的所有点的( 1 π A.横坐标缩短到原来的 (纵坐标不变),再向左平行移动 个单位长度 2 8 1 π B.横坐标缩短到原来的 (纵坐标不变),再向右平行移动 个单位长度 2 4 π C.横坐标伸长到原来的 2 倍(纵坐标不变),再向左平行移动 个单位长度 4 π D.横坐标伸长到原来的 2 倍(纵坐标不变),再向右平行移动 个单位长度 8 π? 11.要得到函数 y=sin? ?2x-3?的图象只需将 y=sin 2x 的图象向左平移 φ(φ>0)个单位,则正
m anipulat or control mode and pr ogrammable controll ers introduction 2.1 Sele ct di scussi on wit h manipulator contr ol 2.1 .1 cla ssification of control relay s and dis crete ele ctroni c cir cuit ca n control old i ndustrial equipme nt, but also mor e common. Mai nly the se two relativel y chea p and you can mee t the old -fashi one d, simpl e (or simple) industrial equi pment. S o he can s ee them now, however thes e two control m ode s (relay and di screte ele ctronic circuit s) are these fatal flaws: (1) cannot ada pt to the compl ex logic contr ol, (2) only for the curre nt proje ct, the la ck of compati bility and (3) not reforming the system with e qui pment improveme nts. S pring for the development of China' s moder n industri al automati on technology the substantial i ncrea se in t he level of industria l automat ion, complete d the perfect relay of the computer too much. In terms of controll ing the computer s howe d his two great adva ntag es: (1) each of the har dware can be installe d on one or more micr opr oces sors ; (2) the 。 转 好 定 稳 势 形 产 生 安 域 领 行 个 动 推 降 下 继 量 总 保 故 事 上 以 较 制 遏 , 管 监 节 环 等 作 殊 特 和 区 地 ”、 大 一 点 重 “两 化 强 续 持 ; 任 责 体 主 业 企 实 落 面 全 official desig ner of the s oftware writing conte nt control is all a bout. Now in several ways in t he context of industrial a utomation ca n often be see n in three way s: (1) Programmable Logical Controller (referred to as I PC); (2) Distributed Contr ol System (DCS for short), and (3) the Programmabl e Logi c al Contr oller (PLC for short). 2.1.2 PLC a nd t he IPC and DCS contrast contrast 1 , each of the three te chnol ogies of origins a nd development re quirement s for fast data processi ng makes it invente d the computer. T he men br oug ht in terms of har dware there, usi ng a high l evel of standardizati on, can use more compati bility tools, is a ri ch s oftware resource s, es pecially t he nee d for immediacy i n operational systems. S o the computer can effectively contr ol is used to control and meet its speed, on the virtual model, real -time and i n computati onal re quireme nts. Distr ibute d system started wit h a contr ol system for industrial a utomatic instrume nt use d to control, w hereas now it i s succe ssfully developed int o industrial control computer use d as a central colle ction a nd distri bution system and transiti on of distributed contr ol system in a nalog ue ha ndli ng, l oop control, has beg un t o reflect the use of a huge adva ntage. Thoug h distri bute d system has great adva ntages in l oop regulati on, but only as a means of conti nuous process contr ol. Optimization of PLC is the corre sponding relay nee ds wa s bor n, its main use i n the w ork order control, early primary is repla ced relay this hulking system, focus ed on the s witch controlli ng the runni ng order of functi ons. Marked by the micr oproces sor i n the early 197 0 of the 20th cent ury emerged, micr o-el ectronics technol ogy ha s devel ope d rapi dly, people s oon microel ectronics proces sing technology w ill be used i n the Programmable Logi cal Controller (that is

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Manipulator is now use d as a industrial robots in use, t he control obje ctives ofte n appear often in i ndustrial a utomation. In dustrial automati on technology has gradually matured, a s mature a technology line has bee n rapid development i n industrial a utomation as a se parate subje ct. Manipulator appli cation began t o filter int o wel ding, l ogisti cs, mechani cal pr oce ssing, and other industries . Especially at hig h or very l ow temperature s, full of poiso nous gase s, hig h radiation cas e, robot in simil ar circumstances s howe d great us e also bring s great conv enie nce t o the staff. Precise ly becaus e of this robot t o get people's attenti on began to be a hig h degre e of devel opment . La bor rates, w orking conditions, la bor inte nsive a spe cts of pr omoting development. Bot h at home a nd a broad t o devel op the PLC (programmable l ogic contr oller) is in various s pe cial cir cumstances a nd under s pecial conditions s et for mecha nical device s. Now tur ned on the devel opme nt of the microelectronics aut omatic control technology a nd t he rapid devel opment of the trains, t he success of PLC hardware software and simulati on contr ol win big and succe ssful development, now conti nue s to devel op a s a factory aut omation sta ndar ds. Be caus e robots are good development of the te chnol ogy makes a good optimization of productive capital , and robot shows thi s unique adva ntages, s uch as: ha s good compati bility, w ide availa bility, hardware is complete, a nd programming that ca n be mastered in a s hort time, s o in t he context of industrial PLC a ppli cations became ubiquitous. M ani pulator i n many devel ope d country agriculture a nd indust ry has been a ppli ed, s uch as the use of mecha nical harvesting large area s of farmland, re peated operations on the high -s peed li ne that uses a r oboti c arm, and so on. Today, t he hig h level of automati on combi ned wit h restricti ons on t he mani pulator developm ent level i s slightly low er than t he inter national. The desig n is mainly arm wel ding ma chi ne by PLC A utomation control. T his of design let desig ners on in s chool by learn of has a must of consoli dation, understa nd has s ome us ually di dn't opportunities aware nes s in worl d range wit hin s ome leading level of knowle dge ha s has must awarene ss, hope desig ners can i n yihou of de sign i n the ca n s uccess of using i n this desig n i n the pr ocee ds of experience 1.2 ma nipulator in bot h at home a nd a broad of research profile a utomation mechani cal arm research bega n Yu 20t h ce ntury medi um -term, after years with wit h com puter a nd a utomation technol ogy of devel opme nt, Makes mecha nical arm on the Gra nd stage of industrial automation and shi ne, gradually became a n industrial eval uation standards, a nd it s importa nce can be see n. Now origi nal roboti c arm spe nt most of mass pr oducti on a nd use on the producti on li ne, w hich is pr ogrammed robotic arm. As t he first generation of manipulator positi on contr ol sys tems main features, althoug h not back sev eral generations that can detect the external envir onment , but can still successf ully com plete like wel ding, painti ng, del ivery as well as for materials simple moveme nts. Se cond generation me cha nical arms are equipped wit h sensors a nd ma nipulators hav e the envir onme nt there is a certain amount of "sense", w hen the mechani cal arm is to use the program as a ba sis . Di fference is that t he robot bega nd

数 φ 的最小值是________. 1 12.使函数 y=f(x)图象上每一点的纵坐标保持不变,横坐标缩小到原来的 倍,然后再将其 2 π 图象沿 x 轴向左平移 个单位得到的曲线与 y=sin 2x 的图象相同,求 f(x)的表达式. 6

三、探究与拓展 π ? 13.已知函数 f(x)=sin? ?3-2x? (x∈R). (1)求 f(x)的单调减区间; (2)经过怎样的图象变换使 f(x)的图象关于原点对称?(仅叙述一种方案即可).

m anipulat or control mode and pr ogrammable controll ers introduction 2.1 Sele ct di scussi on wit h manipulator contr ol 2.1 .1 cla ssification of control relay s and dis crete ele ctroni c cir cuit ca n control old i ndustrial equipme nt, but also mor e common. Mai nly the se two relatively chea p and you can mee t the old -fashi one d, simpl e (or simple) industrial equi pment. S o he can s ee them now, however thes e two control m ode s (relay and di screte ele ctronic circuit s) are these f atal flaws: (1) cannot ada pt to the compl ex logic contr ol, (2) only for the curre nt proje ct, the la ck of compati bility and (3) not reforming the system with e qui pment improveme nts. S pring for the development of China' s moder n industri al automati on technology the substantial i ncrea se in t he level of industria l automation, complete d the perfect relay of the computer too much. In t erms of controll ing the computer s howe d his two great adva ntages: (1) each of the har dware can be installe d on one or more micr opr oces sors ; (2) the 。 转 好 定 稳 势 形 产 生 安 域 领 行 个 动 推 降 下 继 量 总 保 故 事 上 以 较 制 遏 , 管 监 节 环 等 作 殊 特 和 区 地 ”、 大 一 点 重 “两 化 强 续 持 ; 任 责 体 主 业 企 实 落 面 全 official desig ner of the s oftware writing conte nt control is all a bout. Now in several ways in t he context of industrial a utomation ca n often be see n in three way s: (1) Programmable Logical Controller (referred to as I PC); (2) Distributed Contr ol System (DCS for short), and (3) the Programmabl e Logi cal Contr oller (PLC for short). 2.1.2 PLC a nd t he IPC and DCS contrast contrast 1 , each of the three te chnol ogies of origins a nd development re quirement s for fast data processi ng makes it invente d the computer. T he men br oug ht in terms of har dware there, usi ng a high l evel of standardizati on, can use more compati bility t ools, is a ri ch s oftware resource s, es pecially t he nee d for immediacy i n operational systems. S o the computer can effectively contr ol is used to control and meet its speed, on the virtual model, real -time and i n computati onal re quireme nts. Distr ibute d system started wit h a contr ol system for industrial a utomatic instrument use d to control, w hereas now it i s succe ssfully developed int o industrial control computer use d as a central colle ction a nd distri bution system and transiti on of distributed contr ol system in a nalog ue ha ndli ng, l oop control, has beg un t o reflect the use of a huge adva ntage. Thoug h distri bute d system has great adva nt ages in l oop regulati on, but only as a means of conti nuous process contr ol. Optimization of PLC is the corre sponding relay nee ds wa s bor n, its main use i n the w ork order control, early primary is repla ced relay this hulking system, focus ed on the s witch controlli ng the runni ng order of functi ons. Marked by the micr oproces sor i n the early 197 0 of the 20th cent ury emerged, micr o-el ectronics technol ogy ha s devel ope d rapi dly, people s oon microel ectronics proces sing technology w ill be used i n the Programmable Logi cal Controller (that is

Manipulator is now use d as a industrial robots in use, t he control obje ctives ofte n appear often in i ndustrial a utomation. In dustrial automati on technology has gradually matured, a s mature a technology line has bee n rapid development i n industrial a utomation as a se parate subje ct. Manipulator appl i cation began t o filter into wel ding, l ogisti cs, mechani cal pr oce ssing, and other industries . Especially at hig h or very l ow temperature s, full of poisonous gase s, hig h radiation cas e, robot in simil ar circumstances s howe d great us e also bring s great conv enie nce t o the staff. Precise ly becaus e of this robot t o get people's attenti on began to be a hig h degre e of devel opment . La bor rates, w orking conditions, la bor inte nsive a spe cts of pr omoting development. Bot h at home a nd a broad t o devel op the PLC (programm able l ogic contr oller) is in various s pe cial cir cumstances a nd under s pecial conditions s et for mecha nical device s. Now tur ne d on the devel opme nt of the microelectronics aut omatic control technology a nd t he rapid devel opment of the trains, t he success of PLC hardware software and simulati on contr ol win big and succe ssful development, now conti nue s to devel op a s a factory aut omation sta ndar ds. Be caus e robots are good development of the te chnol ogy makes a good optimization of productive capital , and robot shows thi s unique adva ntages, s uch as: ha s good compati bility, w ide availa bility, hardware is complete, a nd programming that ca n be mastered in a s hort time, s o in t he context of industrial PLC a ppli cations became ubiquitous. M ani pulator i n many devel ope d country agriculture a nd industry has been a ppli ed, s uch as the use of mecha nical harvesting large area s of farmland, re peated operations on the high-s peed li ne that uses a r oboti c arm, and so on. Today, t he hig h level of automati on combi ned wit h restricti ons on t he mani pula tor development level i s slightly low er than t he inter national. The desig n is mainly arm wel ding ma chi ne by PLC A utomation control. T his of design let desig ners on in s chool by learn of has a must of consoli dation, understa nd has s ome us ually di dn't opportunities aware nes s in worl d range wit hin s ome leading level of knowle dge ha s has must awarene ss, hope desig ners can i n yihou of de sign i n the ca n s uccess of using i n this desig n i n the pr ocee ds of experience 1.2 ma nipulator in bot h at home a nd a broad of research profile a utomation mechani cal arm research bega n Yu 20t h ce ntury medi um -term, after years with wit h com puter a nd a utomation technol ogy of devel opme nt, Makes mecha nical arm on the Gra nd stage of industrial automation and shi ne, graduall y became a n industrial eval uation standards, a nd it s importa nce can be see n. Now origi nal roboti c arm spe nt most of mass pr od ucti on a nd use on the producti on li ne, w hich is pr ogrammed robotic arm. As t he first generation of manipulator positi on contr ol sys t ems main features, althoug h not back sev eral generations that can detect the external envir onment , but can still successf ully com plete like wel ding, painti ng, del ivery as well as for materials simple moveme nts. Se cond generation me cha nical arms are equipp ed wit h sensors a nd ma nipulators hav e the envir onme nt there is a certain amount of "sense", w hen the mechani cal arm is to use the program as a ba sis . Difference is that t he robot bega nd

答案 1.B 2.B 3.C 4.D 5.B 7.①③ π? 8. 解 由 y=sin x 的图象通过变换得到函数 y=sin? ?2x-3?的图象有两种变化途径: ①y=sin x π ― ― → y= 个单位
3 向右平移

6.sin x

π? 纵坐标不变 1 sin? ― ― → ?x-3?横坐标缩短为原来的 π 2x- ?. y=sin? 3? ?

2

1 ②y=sin x横坐标缩短为原来的 ― ― → 向右平移 6

纵坐标不变

2

y=sin 2x π ― ― → 个单位 π 2x- ?. y=sin? 3? ? 5 9.B 10.C 11. π 6

12.解 方法一 正向变换
1 y=f(2x) ― π― y=f(x) 原来的 ― ― → → 移 个单位 2 6 横坐标缩小到 沿x轴向左平

? π?? y=f? ?2?x+6??,
π? 即 y=f? ?2x+3?, π? π π ∴f? ?2x+3?=sin 2x.令 2x+3=t,则 2x=t-3, π? ∴f(t)=sin? ?t-3?, π x- ?. 即 f(x)=sin? ? 3? 方法二 逆向变换

据题意,y=sin 2x

????? ?? y=sin2

π 向右平移 个单位 6

?x-π? ? 6?

π?横坐标伸长到原来的2倍 π? =sin? ― ― → y=sin? 纵坐标不变 ?2x-3? ?x-3?.

m anipulat or control mode and pr ogrammable controll ers introduction 2.1 Sele ct di scussi on wit h manipulator contr ol 2.1 .1 cla ssification of control relay s and dis crete ele ctroni c cir cuit ca n control old i ndustrial equipme nt, but also mor e common. Mai nly the se two relativel y chea p and you can mee t the old -fashi one d, simpl e (or simple) industrial equi pment. S o he can s ee them now, however thes e two control m ode s (relay and di screte ele ctronic circuit s) are these fatal flaws: (1) cannot ada pt to the compl ex logic contr ol, (2) only for the curre nt proje ct, the la ck of compati bility and (3) not reforming the system with e qui pment improveme nts. S pring for the development of China' s moder n industri al automati on technology the substantial i ncrea se in t he level of industria l automat ion, complete d the perfect relay of the computer too much. In terms of controll ing the computer s howe d his two great adva ntag es: (1) each of the har dware can be installe d on one or more micr opr oces sors ; (2) the 。 转 好 定 稳 势 形 产 生 安 域 领 行 个 动 推 降 下 继 量 总 保 故 事 上 以 较 制 遏 , 管 监 节 环 等 作 殊 特 和 区 地 ”、 大 一 点 重 “两 化 强 续 持 ; 任 责 体 主 业 企 实 落 面 全 official desig ner of the s oftware writing conte nt control is all a bout. Now in several ways in t he context of industrial a utomation ca n often be see n in three way s: (1) Programmable Logical Controller (referred to as I PC); (2) Distributed Contr ol System (DCS for short), and (3) the Programmabl e Logi c al Contr oller (PLC for short). 2.1.2 PLC a nd t he IPC and DCS contrast contrast 1 , each of the three te chnol ogies of origins a nd development re quirement s for fast data processi ng makes it invente d the computer. T he men br oug ht in terms of har dware there, usi ng a high l evel of standardizati on, can use more compati bility tools, is a ri ch s oftware resource s, es pecially t he nee d for immediacy i n operational systems. S o the computer can effectively contr ol is used to control and meet its speed, on the virtual model, real -time and i n computati onal re quireme nts. Distr ibute d system started wit h a contr ol system for industrial a utomatic instrume nt use d to control, w hereas now it i s succe ssfully developed int o industrial control computer use d as a central colle ction a nd distri bution system and transiti on of distributed contr ol system in a nalog ue ha ndli ng, l oop control, has beg un t o reflect the use of a huge adva ntage. Thoug h distri bute d system has great adva ntages in l oop regulati on, but only as a means of conti nuous process contr ol. Optimization of PLC is the corre sponding relay nee ds wa s bor n, its main use i n the w ork order control, early primary is repla ced relay this hulking system, focus ed on the s witch controlli ng the runni ng order of functi ons. Marked by the micr oproces sor i n the early 197 0 of the 20th cent ury emerged, micr o-el ectronics technol ogy ha s devel ope d rapi dly, people s oon microel ectronics proces sing technology w ill be used i n the Programmable Logi cal Controller (that is

Manipulator is now use d as a industrial robots in use, t he control obje ctives ofte n appear often in i ndustrial a utomation. In dustrial automati on technology has gradually matured, a s mature a technology line has bee n rapid development i n industrial a utomation as a se parate subje ct. Manipulator appli cation began t o filter int o wel ding, l ogisti cs, mechani cal pr oce ssing, and other industries . Especially at hig h or very l ow temperature s, full of poiso nous gase s, hig h radiation cas e, robot in simil ar circumstances s howe d great us e also bring s great conv enie nce t o the staff. Precise ly becaus e of this robot t o get people's attenti on began to be a hig h degre e of devel opment . La bor rates, w orking conditions, la bor inte nsive a spe cts of pr omoting development. Bot h at home a nd a broad t o devel op the PLC (programmable l ogic contr oller) is in various s pe cial cir cumstances a nd under s pecial conditions s et for mecha nical device s. Now tur ned on the devel opme nt of the microelectronics aut omatic control technology a nd t he rapid devel opment of the trains, t he success of PLC hardware software and simulati on contr ol win big and succe ssful development, now conti nue s to devel op a s a factory aut omation sta ndar ds. Be caus e robots are good development of the te chnol ogy makes a good optimization of productive capital , and robot shows thi s unique adva ntages, s uch as: ha s good compati bility, w ide availa bility, hardware is complete, a nd programming that ca n be mastered in a s hort time, s o in t he context of industrial PLC a ppli cations became ubiquitous. M ani pulator i n many devel ope d country agriculture a nd indust ry has been a ppli ed, s uch as the use of mecha nical harvesting large area s of farmland, re peated operations on the high -s peed li ne that uses a r oboti c arm, and so on. Today, t he hig h level of automati on combi ned wit h restricti ons on t he mani pulator developm ent level i s slightly low er than t he inter national. The desig n is mainly arm wel ding ma chi ne by PLC A utomation control. T his of design let desig ners on in s chool by learn of has a must of consoli dation, understa nd has s ome us ually di dn't opportunities aware nes s in worl d range wit hin s ome leading level of knowle dge ha s has must awarene ss, hope desig ners can i n yihou of de sign i n the ca n s uccess of using i n this desig n i n the pr ocee ds of experience 1.2 ma nipulator in bot h at home a nd a broad of research profile a utomation mechani cal arm research bega n Yu 20t h ce ntury medi um -term, after years with wit h com puter a nd a utomation technol ogy of devel opme nt, Makes mecha nical arm on the Gra nd stage of industrial automation and shi ne, gradually became a n industrial eval uation standards, a nd it s importa nce can be see n. Now origi nal roboti c arm spe nt most of mass pr oducti on a nd use on the producti on li ne, w hich is pr ogrammed robotic arm. As t he first generation of manipulator positi on contr ol sys tems main features, althoug h not back sev eral generations that can detect the external envir onment , but can still successf ully com plete like wel ding, painti ng, del ivery as well as for materials simple moveme nts. Se cond generation me cha nical arms are equipped wit h sensors a nd ma nipulators hav e the envir onme nt there is a certain amount of "sense", w hen the mechani cal arm is to use the program as a ba sis . Di fference is that t he robot bega nd

π? π? 13. 解 (1)由已知函数化为 y=-sin? 只需求 y=sin? ?2x-3?.欲求函数的单调递减区间, ?2x-3? 的单调递增区间. π π π 由 2kπ- ≤2x- ≤2kπ+ (k∈Z), 2 3 2 π 5 解得 kπ- ≤x≤kπ+ π (k∈Z), 12 12 π 5 kπ- ,kπ+ π? (k∈Z). ∴原函数的单调减区间为? 12 12 ? ? π? ? π? (2)∵y=-sin 2x 是奇函数,图象关于原点对称,且 f(x)=-sin? ?2x-3?=-sin 2?x-6?. π ∴只需把 y=f(x)的图象向右平移 个单位即可. 6

m anipulat or control mode and pr ogrammable controll ers introduction 2.1 Sele ct di scussi on wit h manipulator contr ol 2.1 .1 cla ssification of control relay s and dis crete ele ctroni c cir cuit ca n control old i ndustrial equipme nt, but also mor e common. Mai nly the se two relatively chea p and you can mee t the old -fashi one d, simpl e (or simple) industrial equi pment. S o he can s ee them now, however thes e two control m ode s (relay and di screte ele ctronic circuit s) are these f atal flaws: (1) cannot ada pt to the compl ex logic contr ol, (2) only for the curre nt proje ct, the la ck of compati bility and (3) not reforming the system with e qui pment improveme nts. S pring for the development of China' s moder n industri al automati on technology the substantial i ncrea se in t he level of industria l automation, complete d the perfect relay of the computer too much. In t erms of controll ing the computer s howe d his two great adva ntages: (1) each of the har dware can be installe d on one or more micr opr oces sors ; (2) the 。 转 好 定 稳 势 形 产 生 安 域 领 行 个 动 推 降 下 继 量 总 保 故 事 上 以 较 制 遏 , 管 监 节 环 等 作 殊 特 和 区 地 ”、 大 一 点 重 “两 化 强 续 持 ; 任 责 体 主 业 企 实 落 面 全 official desig ner of the s oftware writing conte nt control is all a bout. Now in several ways in t he context of industrial a utomation ca n often be see n in three way s: (1) Programmable Logical Controller (referred to as I PC); (2) Distributed Contr ol System (DCS for short), and (3) the Programmabl e Logi cal Contr oller (PLC for short). 2.1.2 PLC a nd t he IPC and DCS contrast contrast 1 , each of the three te chnol ogies of origins a nd development re quirement s for fast data processi ng makes it invente d the computer. T he men br oug ht in terms of har dware there, usi ng a high l evel of standardizati on, can use more compati bility t ools, is a ri ch s oftware resource s, es pecially t he nee d for immediacy i n operational systems. S o the computer can effectively contr ol is used to control and meet its speed, on the virtual model, real -time and i n computati onal re quireme nts. Distr ibute d system started wit h a contr ol system for industrial a utomatic instrument use d to control, w hereas now it i s succe ssfully developed int o industrial control computer use d as a central colle ction a nd distri bution system and transiti on of distributed contr ol system in a nalog ue ha ndli ng, l oop control, has beg un t o reflect the use of a huge adva ntage. Thoug h distri bute d system has great adva nt ages in l oop regulati on, but only as a means of conti nuous process contr ol. Optimization of PLC is the corre sponding relay nee ds wa s bor n, its main use i n the w ork order control, early primary is repla ced relay this hulking system, focus ed on the s witch controlli ng the runni ng order of functi ons. Marked by the micr oproces sor i n the early 197 0 of the 20th cent ury emerged, micr o-el ectronics technol ogy ha s devel ope d rapi dly, people s oon microel ectronics proces sing technology w ill be used i n the Programmable Logi cal Controller (that is


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