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Transformasies: nie in caps

In hierdie afdeling gaan jy leer oor die verandering wat die koördinate van ʼn punt ondergaan wanneer die punt horisontaal of vertikaal op die Cartesiese vlak skuif. Jy gaan ook leer wat met die koördinate van ʼn punt gebeur wanneer dit reflekteer word in die x -as, y -as en die lyn y = x .

Translasie van ʼn punt

Waneer ʼn voorwerp langs ʼn reguitlyn beweeg word, sê ons dit word getransleer . Wat gebeur met die koördinate van ʼn punt wat horisontaal of vertikaal getransleer word?

Bespreking : vertikale translasie van ʼn punt

Voltooi die tabel deur die koördinate van die punte soos op die figuur in te vul.

Punt x -koördinaat y -koördinaat
A
B
C
D
E
F
G

Wat let jy op omtrent die x -koördinate? Wat let jy op omtrent die y -koördinate? Wat sal gebeur met die koördinate van punt A indien dit verskuif word na die posisie van punt G?

Wanneer ʼn punt vertikaal op- of afgeskuif word op die Cartesiese vlak, bly die x -koördinaat van die punt dieselfde, maar die y -koördinaat verander met die aantal eenhede wat die punt op- of afgeskuif is.

Byvoorbeeld: in [link] word punt A 4 eenhede opwaarts geskuif na die posisie gemerk deur G. Die nuwe x -koördinaat van punt A is dieselfde ( x =1), maar die nuwe y -koördinaat het 4 eenhede geskuif in die positiewe y -rigting en word y =-2 +4 =2. Die nuwe koördinate van punt A is gevolglik G(1;2). Soortgelyk, vir punt B wat 5 eenhede afgeskuif word, bly die x -koördinaat dieselfde ( x = - 2 , 5 ), maar die y -koördinaat het 5 eenhede in die negatiewe y -rigting geskuif. Die nuwe y -koördinaat is dus y =2,5 -5 =-2,5.

Punt A het 4 eenhede opgeskuif tot by G. Punt B het 5 eenhede afgeskuif tot by H.
Wanneer ʼn punt opgeskuif word, word die nuwe y -koördinaat verkry deur die translasie eenhede by die ou y -koördinaat by te tel. Wanneer ʼn punt afgeskuif word, word die nuwe y -koördinaat verkry deur die translasie eenhede van die ou y -koördinaat af te trek.

Bespreking: horisontale translasie van ʼn punt

Voltooi die tabel deur al die koördinate wat in die figuur aangedui word, in te vul.

Punt x -koördinaat y --koördinaat
A
B
C
D
E
F
G

Wat let jy op omtrent die x -koördinate? Wat let jy op omtrent die y -koördinate?

Wat sal gebeur met die koördinate van punt A, as dit geskuif word na posisie G?

Wanneer ʼn punt horisontaal links of regs op die Cartesiese vlak verskuif word, bly die y -koördinaat van die punt dieselfde, maar die x -koördinaat verander met die aantal eenhede wat die punt links of regs geskuif word.

Byvoorbeeld, in [link] word punt A 4 eenhede regs geskuif na G. Die nuwe y -koördinaat van punt A is dieselfde ( y =1), maar die nuwe x -koördinaat is 4 eenhede in die positiewe x -rigting geskuif en word x =-2 +4 =2. Die nuwe koördinaat van punt A by G is dus (2;1). Soortgelyk, vir punt B wat 5 eenhede links geskuif word, bly die y -koördinaat dieselfde ( y = - 2 , 5 ), maar die x -koördinaat word 5 eenhede in die negatiewe x -rigting geskuif. Die nuwe x -koördinaat is dus x =2,5 -5 =-2,5. Die nuwe koördinate van punt B by H is dus (-2,5;1).

Punt A skuif 4 eenhede regs na posisie G. Punt B skuif 5 eenhede links na posisie H.
Wanneer ʼn punt regs geskuif word, word die nuwe x -koördinaat verkry deur die translasie-eenhede by die oorspronklike x -koördinaat by te tel. Wanneer ʼn punt na links geskuif word, word die nuwe x -koördinaat verkry deur die translasie-eenhede van die oorspronklike x -koördinaat af te trek.

Questions & Answers

do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Siyavula textbooks: wiskunde (graad 10) [caps]. OpenStax CNX. Aug 04, 2011 Download for free at http://cnx.org/content/col11328/1.4
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