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《步步高 学案导学设计》2013-2014学年 高中数学 人教B版必修5第三章3.3一元二次不等式及其解法(二)

Manipulator i s now used a s a industria l robots in use , the control obje ctives often appear often i n industrial automati on. Industrial automati on technology has gradually mature d, as mat ure a technology li ne ha s be en ra pid development i n industrial automation as a separate subject . Ma nipulato r appli cation bega n to filter int o welding, l ogistics, mechani cal processi ng, a nd ot her i ndustries. E spe cially at high or very low tem peratures, full of poisonous gas es, high radiati on case, robot in similar cir cumstances showed great use a lso bring s great conveni ence to the staff. Precisely be caus e of this robot to get people's attenti on began t o be a high degree of devel opment . La bor rates, working conditi ons, labor inte nsive a spe cts of promoti ng devel opme nt. Both at home a nd a broa d to develop the PLC (programmable l ogic controller) is i n various s pecial cir cumstances a nd under s pe cial conditions set for mechani cal devi ces . Now tur ne d on the devel opme nt of the mi croele ctronics automati c control technology a nd t he rapi d devel opme nt of the trains, the s ucces s of PLC har dware s oftware and simulation control win big and succe ssful development, now conti nue s to develop as a factory a utomat ion standards . Beca use robots are g ood devel opme nt of the technology makes a g ood optimizati on of productive ca pital, and rob ot s hows t his uni que a dvantages, such as : has g ood com patibi lity, wi de availa bility, hardwar e is complete, a nd programming that can be mastered in a short time, so i n the context of industrial PLC applications be came ubiquitous. Ma nipulator i n many devel ope d country agriculture a nd i ndustry has bee n applied, such as t he use of mechani cal harve sting large areas of farmland, repeated operations on the high-s peed l ine that use s a robotic arm, a nd s o on. Toda y, the high level of automation combi ned wit h restricti ons on t he mani pulator devel opment level i s slightly low er tha n the inter national. T he de sign is mai nly arm weldi ng machine by PL C Aut omation control. T his of design let desig ners on in school by learn of has a must of cons olidati on, understand has some usually didn't opport unitie s awarene ss i n worl d range within s ome leadi ng level of knowle dge has has must awarene ss, hope desig ners can i n yihou of design i n the can s ucces s of usi ng in this de sign i n the pr ocee ds of experience 1. 2 manipulator i n bot h at home and abroa d of resear ch pr ofile aut omation me cha nical arm rese arch began Y u 20th cent ury medium -term, after years with with com puter and aut omation te chnol ogy of devel opme nt, Makes me cha nical arm on the Grand stage of ind ustrial aut omation a nd s hine, gradually be came an i ndustrial evaluati on sta ndar ds, a nd its im portance can be see n. Now origi nal roboti c arm spe nt most of mass prod ucti on a nd use on the production line, whi ch is programmed roboti c arm. As the first generation of manipulator position contr ol s ystems main features, althoug h not back several generati ons t hat ca n dete ct the external e nvironment, but ca n 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

§ 3.3

一元二次不等式及其解法(二)
( )

一、基础过关 x-2 1.不等式 >0 的解集是 x+3 A.(-3,2) B.(2,+∞) C.(-∞,-3)∪(2,+∞) D.(-∞,-2)∪(3,+∞) 2.不等式(x-1) x+2≥0 的解集是 A.{x|x>1} C.{x|x≥1 或 x=-2} B.{x|x≥1} D.{x|x≥-2 或 x=1} ( ) ( )

3.方程 x2+(m-3)x+m=0 有两个正实根,则 m 的取值范围是 A.0≤m<1 C.0<m≤1 x+5 4.不等式 ≥2 的解是 ?x-1?2 1 A.[-3, ] 2 1 C.[ ,1)∪(1,3] 2 1 B.[- ,3] 2 1 D.[- ,1)∪(1,3] 2 B.0<m<1 D.0≤m≤1

(

)

5.已知关于 x 的不等式(a2-4)x2+(a+2)x-1≥0 的解集是空集,则实数 a 的取值范围是 ( 6 A.-2≤a< 5 C.-2≤a<1 5 B.-2≤a≤ 6 D.-2≤a≤1 )

x-a 6.若关于 x 的不等式 >0 的解集为(-∞,-1)∪(4,+∞),则实数 a=________. x+1 x+1 7.不等式 ≤3 的解集为__________. x 8.不等式(m+1)x2-(1-m)x+m≤0 对任意实数 x 都成立,求实数 m 的取值范围. 二、能力提升 9.已知 a1>a2>a3>0,则使得(1-aix)2<1 (i=1,2,3)都成立的 x 的取值范围是( 1 0, ? A.? a ? ?
1

)

2 0, ? B.? a ? ?
1

m anipulat or control m ode a nd programmabl e controller s introduction 2.1 S elect dis cus sion with ma nipulator contr ol 2.1 .1 cl assificati on of control relays and dis crete ele ctronic circuit can control old i ndustrial e qui pment, but als o more common. Ma inly these tw o relatively chea p and you ca n meet the ol d-fas hioned, simple (or simple) i ndustrial equipme nt. So he can see them now, however t hese tw o contr ol mode s (relay and dis crete ele ctronic circuits) are thes e fatal flaws: (1) cannot a dapt to t he complex l ogic control, (2) only for the current proj ect, t he lack of com patibi lity and (3) not reforming the sy stem with e qui pment impr ovements. S pring for t he development of China's modern i ndustrial a utomation technology the s ubsta ntial increase i n the level of industrial aut omation, com pleted t he perfect relay of the com puter too much. In terms of controlling t he computer s h owed his tw o great advantage s: (1) each of the hardw are ca n be installe d on one or more micr oproces 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 software writing content control is all a bout . Now in s everal ways in t he context of industrial a utomation ca n often be se en i n three ways : (1) Programmable Logica l Controller (referred to as IPC); (2) Distri bute d Control System (DCS for short ), and (3) the Programmable Logi cal Controller (PLC for s hort). 2. 1.2 PLC a nd t he IPC and DCS contrast contrast 1, ea ch of the three technologi es of origi ns a nd development requirement s for fast data process ing makes it inve nted the com puter. The me n brought i n terms of hardware there, usi ng a hig h level of standardi zation, ca n use m ore compatibility tool s, is a ri ch s oftware resources , especially t he ne ed for immedia cy in operational systems . So the com puter can effectively control i s used to control and m eet its s pee d, on the virtua l model , real-time a nd i n computational re quireme nts. Distri bute d system started wit h a contr ol system for industrial a utomatic i nstrume nt use d to contr ol, whereas now it is succes sfully deve loped 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 i s now used a s a industria l robots in use , the control obje ctives often appear often i n industrial automati on. Industrial automati on technology has gradually mature d, as mat ure a technology li ne ha s be en ra pid development i n industrial automation as a separate subject . Ma nipulator appli cation bega n to filter int o welding, l ogistics, mechani cal proc essi ng, a nd ot her i ndustries. E spe cially at high or very low tem peratures, full of poisonous gas es, high radiati on case, robot in similar cir cumstances showed great use a lso bring s great conveni ence to the staff. Precisely be caus e of this robot to get peop le's attenti on began t o be a high degree of devel opment . La bor rates, working conditi ons, labor inte nsive a spe cts of promoti ng devel opme nt. Both at home a nd a broa d to develop the PLC (programmable l ogic controller) is i n various s pecial cir cumstances a nd under s pe cial conditions set for mechani cal devi ces . Now tur ned on the devel opme nt of the mi croele ctronics automati c control technology a nd t he rapi d devel opme nt of the trains, the s ucces s of PLC har dware s oftware and simulation control win big and succe ssful development, now conti nue s to develop as a factory a utomation standards . Beca use robots are g ood devel opme nt of the technology m akes a g ood optimizati on of productive ca pital, and robot s hows t his uni que a dvantages, such as : has g ood com patibi lity, wi de availa bility, hardwar e is complete, a nd programming that can be mastered in a short time, so i n the context of industrial PLC applications be came ubiquitous. Ma nipulator i n many devel ope d country agriculture a nd i ndustry has bee n applied, such as t he use of mechani cal harve sting large areas of farmland, repeated operations on the high -s peed l ine that use s a robotic arm, a nd s o on. Toda y, the high level of automation combi ned wit h restricti ons on t he mani pula tor devel opment level i s slightly low er tha n the inter national. T he de sign is mai nly arm weldi ng machine by PLC Aut omation control. T his of design let desig ners on in school by learn of has a must of cons olidati on, understand has some usually didn't opport unitie s awarene ss i n worl d range within s ome leadi ng level of knowle dge has has must awarene ss, hope desig ners can i n yihou of design i n the can s ucces s of usi ng in this de sign i n the pr ocee ds of experience 1. 2 manipulator i n bot h at home and abroa d of resear ch pr ofile aut omation me cha nical arm rese arch began Y u 20th cent ury medium -term, after years with with com puter and aut omation te chnol ogy of devel opme nt, Makes me cha nical arm on the Grand stage of ind ustrial aut omation a nd s hine, gradually be came an i ndustrial evaluati on sta ndar ds, a nd its im portance can be see n. Now origi nal roboti c arm spe nt most of mass producti on a nd use on the production line, whi ch is programmed roboti c arm. As the first generation of manipulator position control s ystems main features, althoug h not back several generati ons t hat ca n dete ct the external e nvironment, but ca n 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? C.? ?0,a ?
3

2? D.? ?0,a ?
3

10.对任意 a∈[-1,1],函数 f(x)=x2+(a-4)x+4-2a 的值恒大于零,则 x 的取值范围是 ________. 11.解下列不等式: ?3x-2??x-2? ?2x+2??x-2? (1) < ; ?x-4?2 ?x-4?2 6x2-17x+12 (2) 2 ≥0. 2x -5x+2 12. 已知关于 x 的一元二次方程 x2+2mx+2m+1=0.若方程有两根, 其中一根在区间(-1,0) 内,另一根在区间(1,2)内,求 m 的取值范围. 三、探究与拓展 1 13.对于不等式 (2t-t2)≤x2-3x+2≤3-t2,试求对区间[0,2]上的任意 x 都成立的实数 t 的 8 取值范围.

m anipulat or control m ode a nd programmabl e controller s introduction 2.1 S elect dis cus sion with ma nipulator contr ol 2.1 .1 cl assificati on of control relays and dis crete ele ctronic circuit can control old i ndustrial e qui pment, but als o more common. Ma inly these tw o relatively chea p and you ca n meet the ol d-fas hioned, simple (or simple) i ndustrial equipme nt. So he can see them now, however t hese tw o contr ol mode s (relay and dis crete ele ctronic circuits) are thes e fatal flaws: (1) cannot a dapt to t he complex l ogic control, (2) only for the current proj ect, t he lack of com patibi lity and (3) not reforming the sy stem with e qui pment impr ovements. S pring for t he development of China's modern i ndustrial a utomation technolog y the s ubsta ntial increase i n the level of industrial aut omation, com pleted t he perfect relay of the com puter too much. In te rms of controlling t he computer s howed his tw o great advantage s: (1) each of the hardw are ca n be installe d on one or more micr oproces 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 software writing content control is all a bout . Now in s everal ways in t he context of industrial a utomation ca n often be se en i n three ways : (1) Programmable Logica l Controller (referred to as IPC); (2) Distri bute d Control System (DCS for short), and (3) the Programmable Logi cal Controller (PLC for s hort). 2. 1.2 PLC a nd t he IPC and DCS contrast contrast 1, ea ch of the three technologi es of origi ns a nd development requirement s for fast data process ing makes it inve nted the com puter. The me n brought i n terms of hardware there, usi ng a hig h level of standardi zation, ca n use m ore compatibility t ool s, is a ri ch s oftware resources , especially t he ne ed for immedia cy in operational systems . So the com puter can effectively control i s used to control and meet its s pee d, on the virtua l model , real-time a nd i n computational re quireme nts. Distri bute d system started wit h a contr ol system for industrial a utomatic i nstrume nt use d to contr ol, whereas now it is succes sfully deve loped 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 co ntrolli 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 i s now used a s a industria l robots in use , the control obje ctives often appear often i n industrial automati on. In dustrial automati on technology has gradually mature d, as mat ure a technology li ne ha s be en ra pid development i n industrial automation as a separate subject . Ma nipulator appli cation bega n to filter int o welding, l ogistics, mechani cal processi ng, a nd ot her i ndustries. E spe cially at high or very low tem peratures, full of poisonous gas es, high radiati on case, robot in similar cir cumstances showed great use a lso bring s great conveni ence to the staff. Precisely be caus e of this robot to get people's attenti on began t o be a high degree of devel opment . La bor rates, working conditi ons, labor inte nsive a spe cts of promoti ng devel opme nt. Both at home a nd a broa d to develop the PLC (programmable l ogic controller) is i n various s pecial cir cumstances a nd under s pe cial conditions set for mechani cal devi ces . Now tur ned on the devel opme nt of the mi croele ctronics automati c control technology a nd t he rapi d devel opme nt of the trains, the s ucces s of PLC har dware s oftware and simulation control win big and succe ssful development, now conti nue s to develop as a factory a utomation standards . Beca use robots are g ood devel opme nt of the technology makes a g ood optimizati on of productive ca pital, and robot s hows t his uni que a dvantages, such as : has g ood com patibi lity, wi de availa bility, hardwar e is c omplete, a nd programming that can be mastered in a short time, so i n the context of industrial PLC applications be came ubiquitous. Ma nipulator i n many devel ope d country agriculture a nd i ndustry has bee n applied, such as t he use of mechani cal harve sting large areas of farmland, repeated operations on the high -s peed l ine that use s a robotic arm, a nd s o on. Toda y, the high level of automation combi ned wit h restricti ons on t he mani pula tor devel opment level i s slightly low er tha n the inter national. T he de sign is mai nly arm weldi ng machine by PLC Aut omation control. T his of design let desig ners on in school by learn of has a must of cons olidati on, understand has some usually didn't opport unitie s awarene ss i n worl d range within s ome leadi ng level of knowle dge has has mu st awarene ss, hope desig ners can i n yihou of design i n the can s ucces s of usi ng in this de sign i n the pr ocee ds of experience 1. 2 manipulator i n bot h at home and abroa d of resear ch pr ofile aut omation me cha nical arm rese arch began Y u 20th cent ury medium -term, after years with with com puter and aut omation te chnol ogy of devel opme nt, Makes me cha nical arm on the Grand stage of industr ial aut omation a nd s hine, gradually be came an i ndustrial evaluati on sta ndar ds, a nd its im portance can be see n. Now origi nal r oboti c arm spe nt most of mass producti on a nd use on the production line, whi ch is programmed roboti c arm. As the first generation of manipulator position control s ystems main features, althoug h not back several generati ons t hat ca n dete ct the external e nviro nment, but ca n 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

答案
1.C 2.C 3.C 4.D 5.A 6.4 1? ? 7.?x|x<0或x≥2?
? ?

8.解 当 m=-1 时,m+1=0,-2x-1≤0 不符合题意,故 m≠-1.

? ?m+1<0, 当 m≠-1 时,不等式(m+1)x2-(1-m)x+m≤0 恒成立的条件是? ?Δ≤0, ? ? ?m<-1 即? 2 ? ??m-1? -4m?m+1?≤0,
2 解得 m≤-1- 3. 3 故所求 m 的取值范围为 2 m≤-1- 3. 3 9.B [由(1-aix)2<1, 得 1-2aix+(aix)2<1, 即 aix(aix-2)<0. 又 a1>a2>a3>0, 2 ∴0<x< , ai 2 2 2 即 x< ,x< 且 x< . a1 a2 a3 2 2 2 2 ∵ > > >0,∴0<x< .] a3 a2 a1 a1 10.x<1 或 x>3 11.解 (1)原不等式?

?3x-2??x-2? ?2x+2??x-2? - <0 ?x-4?2 ?x-4?2 ?x-2??x-4? <0 ?x-4?2

?

m anipulat or control m ode a nd programmabl e controller s introduction 2.1 S elect dis cus sion with ma nipulator contr ol 2.1 .1 cl assificati on of control relays and dis crete ele ctronic circuit can control old i ndustrial e qui pment, but als o more common. Ma inly these tw o relatively chea p and you ca n meet the ol d-fas hioned, simple (or simple) i ndustrial equipme nt. So he can see them now, however t hese tw o contr ol mode s (relay and dis crete ele ctronic circuits) are thes e fatal flaws: (1) cannot a dapt to t he complex l ogic control, (2) only for the current proj ect, t he lack of com patibi lity and (3) not reforming the sy stem with e qui pment impr ovements. S pring for t he development of China's modern i ndustrial a utomation technology the s ubsta ntial increase i n the level of industrial aut omation, com pleted t he perfect relay of the com puter too much. In terms of controlling t he computer s howed his tw o great advantage s: (1) each of the hardw are ca n be installe d on one or more micr oproces 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 software writing content control is all a bout . Now in s everal ways in t he context of industrial a utomation ca n often be se en i n three ways : (1) Programmable Logica l Controller (referred to as IPC); (2) Distri bute d Control System (DCS for short), and (3) the Programmable Logi cal Controller (PLC for s hort). 2. 1.2 PLC a nd t he IPC and DCS contrast contrast 1, ea ch of the three technologi es of origi ns a nd development requirement s for fast data process ing makes it inve nted the com puter. The me n brought i n terms of hardware there, usi ng a hig h level of standardi zation, ca n use m ore compatibility tool s, is a ri ch s oftware resources , especially t he ne ed for immedia cy in operational systems . So the com puter can effectively control i s used to control and meet its s pee d, on the virtua l model , real-time a nd i n computational re quireme nts. Distri bute d system started wit h a contr ol system for industrial a utomatic i nstrume nt use d to contr ol, whereas now it is succes sfully deve loped 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 proc ess 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 opr oces 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 i s now used a s a industria l robots in use , the control obje ctives often appear often i n industrial automati on. Industrial automati on technology has gradually mature d, as mat ure a technology li ne ha s be en ra pid development i n industrial automation as a separate subject . Ma nipulator appli cation bega n to filter int o welding, l ogistics, mechani cal proc essi ng, a nd ot her i ndustries. E spe cially at high or very low tem peratures, full of poisonous gas es, high radiati on case, robot in similar cir cumstances showed great use a lso bring s great conveni ence to the staff. Precisely be caus e of this robot to get peop le's attenti on began t o be a high degree of devel opment . La bor rates, working conditi ons, labor inte nsive a spe cts of promoti ng devel opme nt. Both at home a nd a broa d to develop the PLC (programmable l ogic controller) is i n various s pecial cir cumstances a nd under s pe cial conditions set for mechani cal devi ces . Now tur ned on the devel opme nt of the mi croele ctronics automati c control technology a nd t he rapi d devel opme nt of the trains, the s ucces s of PLC har dware s oftware and simulation control win big and succe ssful development, now conti nue s to develop as a factory a utomation standards . Beca use robots are g ood devel opme nt of the technology m akes a g ood optimizati on of productive ca pital, and robot s hows t his uni que a dvantages, such as : has g ood com patibi lity, wi de availa bility, hardwar e is complete, a nd programming that can be mastered in a short time, so i n the context of industrial PLC applications be came ubiquitous. Ma nipulator i n many devel ope d country agriculture a nd i ndustry has bee n applied, such as t he use of mechani cal harve sting large areas of farmland, repeated operations on the high -s peed l ine that use s a robotic arm, a nd s o on. Toda y, the high level of automation combi ned wit h restricti ons on t he mani pula tor devel opment level i s slightly low er tha n the inter national. T he de sign is mai nly arm weldi ng machine by PLC Aut omation control. T his of design let desig ners on in school by learn of has a must of cons olidati on, understand has some usually didn't opport unitie s awarene ss i n worl d range within s ome leadi ng level of knowle dge has has must awarene ss, hope desig ners can i n yihou of design i n the can s ucces s of usi ng in this de sign i n the pr ocee ds of experience 1. 2 manipulator i n bot h at home and abroa d of resear ch pr ofile aut omation me cha nical arm rese arch began Y u 20th cent ury medium -term, after years with with com puter and aut omation te chnol ogy of devel opme nt, Makes me cha nical arm on the Grand stage of ind ustrial aut omation a nd s hine, gradually be came an i ndustrial evaluati on sta ndar ds, a nd its im portance can be see n. Now origi nal roboti c arm spe nt most of mass producti on a nd use on the production line, whi ch is programmed roboti c arm. As the first generation of manipulator position control s ystems main features, althoug h not back several generati ons t hat ca n dete ct the external e nvironment, but ca n 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

?

x-2 <0 x-4

?2<x<4. 故原不等式的解集为{x|2<x<4}. 6x2-17x+12 (2) 2 ≥0 2x -5x+2 ?2x-3??3x-4? ≥0 ?2x-1??x-2?

?

?x-3??x-4? ? 2?? 3? ? ≥0 ?x-1??x-2? ? 2?

结合上图知原不等式的解集为 1 4 3 {x|x< 或 ≤x≤ 或 x>2}. 2 3 2 12.解 设 f(x)=x2+2mx+2m+1,根据题意,画出示意图由图分析可得,

f?0?=2m+1<0 ? ?f?-1?=2>0 m 满足不等式组? f?1?=4m+2<0 ? ?f?2?=6m+5>0 5 1 解得:- <m<- . 6 2 13.解 设 y=x2-3x+2,x∈[0,2]. 3?2 1 ∵y=? ?x-2? -4,x∈[0,2]. 3 1 ∴当 x= 时,ymin=- ; 2 4

m anipulat or control m ode a nd programmabl e controller s introduction 2.1 S elect dis cus sion with ma nipulator contr ol 2.1 .1 cl assificati on of control relays and dis crete ele ctronic circuit can control old i ndustrial e qui pment, but als o more common. Ma inly these tw o relatively chea p and you ca n meet the ol d-fas hioned, simple (or simple) i ndustrial equipme nt. So he can see them now, however t hese tw o contr ol mode s (relay and dis crete ele ctronic circuits) are thes e fatal flaws: (1) cannot a dapt to t he complex l ogic control, (2) only for the current proj ect, t he lack of com patibi lity and (3) not reforming the sy stem with e qui pment impr ovements. S pring for t he development of China's modern i ndustrial a utomation technolog y the s ubsta ntial increase i n the level of industrial aut omation, com pleted t he perfect relay of the com puter too much. In te rms of controlling t he computer s howed his tw o great advantage s: (1) each of the hardw are ca n be installe d on one or more micr oproces 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 software writing content control is all a bout . Now in s everal ways in t he context of industrial a utomation ca n often be se en i n three ways : (1) Programmable Logica l Controller (referred to as IPC); (2) Distri bute d Control System (DCS for short), and (3) the Programmable Logi cal Controller (PLC for s hort). 2. 1.2 PLC a nd t he IPC and DCS contrast contrast 1, ea ch of the three technologi es of origi ns a nd development requirement s for fast data process ing makes it inve nted the com puter. The me n brought i n terms of hardware there, usi ng a hig h level of standardi zation, ca n use m ore compatibility t ool s, is a ri ch s oftware resources , especially t he ne ed for immedia cy in operational systems . So the com puter can effectively control i s used to control and meet its s pee d, on the virtua l model , real-time a nd i n computational re quireme nts. Distri bute d system started wit h a contr ol system for industrial a utomatic i nstrume nt use d to contr ol, whereas now it is succes sfully deve loped 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 co ntrolli 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 i s now used a s a industria l robots in use , the control obje ctives often appear often i n industrial automati on. In dustrial automati on technology has gradually mature d, as mat ure a technology li ne ha s be en ra pid development i n industrial automation as a separate subject . Ma nipulator appli cation bega n to filter int o welding, l ogistics, mechani cal processi ng, a nd ot her i ndustries. E spe cially at high or very low tem peratures, full of poisonous gas es, high radiati on case, robot in similar cir cumstances showed great use a lso bring s great conveni ence to the staff. Precisely be caus e of this robot to get people's attenti on began t o be a high degree of devel opment . La bor rates, working conditi ons, labor inte nsive a spe cts of promoti ng devel opme nt. Both at home a nd a broa d to develop the PLC (programmable l ogic controller) is i n various s pecial cir cumstances a nd under s pe cial conditions set for mechani cal devi ces . Now tur ned on the devel opme nt of the mi croele ctronics automati c control technology a nd t he rapi d devel opme nt of the trains, the s ucces s of PLC har dware s oftware and simulation control win big and succe ssful development, now conti nue s to develop as a factory a utomation standards . Beca use robots are g ood devel opme nt of the technology makes a g ood optimizati on of productive ca pital, and robot s hows t his uni que a dvantages, such as : has g ood com patibi lity, wi de availa bility, hardwar e is c omplete, a nd programming that can be mastered in a short time, so i n the context of industrial PLC applications be came ubiquitous. Ma nipulator i n many devel ope d country agriculture a nd i ndustry has bee n applied, such as t he use of mechani cal harve sting large areas of farmland, repeated operations on the high -s peed l ine that use s a robotic arm, a nd s o on. Toda y, the high level of automation combi ned wit h restricti ons on t he mani pula tor devel opment level i s slightly low er tha n the inter national. T he de sign is mai nly arm weldi ng machine by PLC Aut omation control. T his of design let desig ners on in school by learn of has a must of cons olidati on, understand has some usually didn't opport unitie s awarene ss i n worl d range within s ome leadi ng level of knowle dge has has mu st awarene ss, hope desig ners can i n yihou of design i n the can s ucces s of usi ng in this de sign i n the pr ocee ds of experience 1. 2 manipulator i n bot h at home and abroa d of resear ch pr ofile aut omation me cha nical arm rese arch began Y u 20th cent ury medium -term, after years with with com puter and aut omation te chnol ogy of devel opme nt, Makes me cha nical arm on the Grand stage of industr ial aut omation a nd s hine, gradually be came an i ndustrial evaluati on sta ndar ds, a nd its im portance can be see n. Now origi nal r oboti c arm spe nt most of mass producti on a nd use on the production line, whi ch is programmed roboti c arm. As the first generation of manipulator position control s ystems main features, althoug h not back several generati ons t hat ca n dete ct the external e nviro nment, but ca n 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

当 x=0 时,ymax=2. 1 ∴不等式 (2t-t2)≤x2-3x+2≤3-t2 对一切 x∈[0,2]恒成立等价于: 8 1 2 ? ?8?2t-t ?≤ymin ? 2 ? ?3-t ≥ymax



1 1 2 ? ?8?2t-t ?≤-4 即? . 2 ? ?3-t ≥2

?t2-2t-2≥0 化简得? , ?t2≤1
解得-1≤t≤1- 3.

m anipulat or control m ode a nd programmabl e controller s introduction 2.1 S elect dis cus sion with ma nipulator contr ol 2.1 .1 cl assificati on of control relays and dis crete ele ctronic circuit can control old i ndustrial e qui pment, but als o more common. Ma inly these tw o relatively chea p and you ca n meet the ol d-fas hioned, simple (or simple) i ndustrial equipme nt. So he can see them now, however t hese tw o contr ol mode s (relay and dis crete ele ctronic circuits) are thes e fatal flaws: (1) cannot a dapt to t he complex l ogic control, (2) only for the current proj ect, t he lack of com patibi lity and (3) not reforming the sy stem with e qui pment impr ovements. S pring for t he development of China's modern i ndustrial a utomation technology the s ubsta ntial increase i n the level of industrial aut omation, com pleted t he perfect relay of the com puter too much. In terms of controlling t he computer s howed his tw o great advantage s: (1) each of the hardw are ca n be installe d on one or more micr oproces 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 software writing content control is all a bout . Now in s everal ways in t he context of industrial a utomation ca n often be se en i n three ways : (1) Programmable Logica l Controller (referred to as IPC); (2) Distri bute d Control System (DCS for short), and (3) the Programmable Logi cal Controller (PLC for s hort). 2. 1.2 PLC a nd t he IPC and DCS contrast contrast 1, ea ch of the three technologi es of origi ns a nd development requirement s for fast data process ing makes it inve nted the com puter. The me n brought i n terms of hardware there, usi ng a hig h level of standardi zation, ca n use m ore compatibility tool s, is a ri ch s oftware resources , especially t he ne ed for immedia cy in operational systems . So the com puter can effectively control i s used to control and meet its s pee d, on the virtua l model , real-time a nd i n computational re quireme nts. Distri bute d system started wit h a contr ol system for industrial a utomatic i nstrume nt use d to contr ol, whereas now it is succes sfully deve loped 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 proc ess 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 opr oces 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


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