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Wiskunde

Graad 9

Vierkante, perspektieftekening, transformasies

Module 25

Om die beginsel van translasie en geskikte notasies te leer

Hoe figure beweeg en inmekaar gepas kan word

AKTIWITEIT 1

Om die beginsel van translasie en geskikte notasies te leer

[LU 3.2, 3.7]

Transformasie deur translasie

Die skets toon die eerste kwadrant van ‘n Cartesiese vlak . Daarop is tien vlakfigure te sien.

Sê nou jy sny die vyf geskakeerde figure los, en beweeg hulle na nuwe posisies (ongeskakeer) deur hulle oor die bladsy te skuif, dan het jy hulle getransleer . Let op dat hulle nog dieselfde oriëntasie het – hulle is nog regop. Hierdie figure is getransformeer d.m.v. translasie.

  • Skryf die name van die vyf figure neer.

As jy die hoeke van ‘n figuur benoem, dan is die benoeming in die nuwe posisie soortgelyk, maar nie eenders nie. Dis sigbaar by die reghoek. Van nou af moet jy dieselfde stelsel in jou benoeming gebruik. In die geval van die reghoek beweeg punt A na posisie A, B na B, ens.

Daar is verskeie maniere om translasies te beskryf. Dis ‘n manier om iemand instruksies te gee sodat hy kan doen wat jy wil hê.

1. Byvoorbeeld, as ek sê: “Beweeg die ovaalvorm 4½ eenhede regs en 3 eenhede af”, dan gee dit die nuwe posisie van die ovaal.

Beskryf die nuwe posisie van die vyfhoek op dieselfde manier in woorde.

2. Transleer die vierkant:

vierkant ABCD → vierkant ABCD beteken beeld vierkant ABCD af op vierkant ABCD. ‘n Mens kan dit beter sê met koördinate: A (1 ; 9) → A (5 ; 8) en B(4 ; 9) → B(8 ; 8), ens.

Gebruik die koördinaatafbeeldingsmetode om die translasie van die driehoek te beskryf. Benoem die hoekpunte A, B en C.

3. Ons kan ook die rigting waarin die vorm moet skuif, spesifiseer deur van kompasrigtings gebruik te maak. Dit sê hoeveel grade (navigators gebruik gewoonlik drie syfers) daar kloksgewys gedraai moet word. Verwys na die skets. Dis duidelik dat oos 090° en wes 270° is. Die lyn is by ongeveer 200°. Die driehoek in die skets hierbo is vyf eenhede weg in die rigting 090°; met ander woorde, as jy op die toppunt van die driehoek staan, is die nuwe posisie van die toppunt vyf eenhede weg as jy na die ooste kyk.

Gebruik afstand en rigting om die parallelogram te transleer.

Skryf die name van die figure (A tot E) neer, benoem die hoekpunte en teken hulle dan op die blokkies in nuwe posisies, getransleer volgens die beskrywings hieronder. Benoem dan die nuwe hoekpunte behoorlik. Wenk: Werk in potlood totdat jy seker is!

A 21 eenhede regs en 3 eenhede af

B 11 eenhede in die rigting 090°

C 20 eenhede links en 6 eenhede af

D (31 ; 4) → (11 ; 6), (34 ; 4) → (14 ; 6), (31 ; 1) → (11 ; 3) en (34 ; 1) → (14 ; 3)

E 7 eenhede in die rigting 270°, gevolg deur 4 eenhede in die rigting 180°

AKTIWITEIT 2

Om refleksie te verstaan en te gebruik

[LU 3.2, 3.7]

Transformasie deur refleksie

Kyk weer na die laaste probleem (E) in die vorige deel. Sien jy dat dit twee translasies, een na die ander, is? Die beskrywings van A en C is dieselfde! Dit gebeur dikwels, aangesien dit baiekeer die eenvoudigste manier is om ‘n ingewikkelde transformasie te beskryf.

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
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
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
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
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Wiskunde graad 9. OpenStax CNX. Sep 14, 2009 Download for free at http://cnx.org/content/col11055/1.1
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