Sistem de Axe Ortogonale Plan de Lectie
Transcript of Sistem de Axe Ortogonale Plan de Lectie
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SISTEM DE AXE ORTOGONALE
AXA NUMERELORREPREZENTAREA PUNCTELOR IN PLAN
DISTANTA DINTRE DOUA PUNCTE DIN PLAN Prof.Taut Costel Lic Tehnologic G Baritiu Livada
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Sugereaza competente(obiective)
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AXA NUMERELOR
-3 -2 -1 0 +1 +2 +3 X
U
A B C O D E F
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SISTEM DE AXE ORTOGONALE
y
-4 -3 -2 -1 O +1 +2 +3 x
+2
•
-4
u
+1
Cadran ICadran II
Cadran III Cadran IV
Ox: axa absciselor Oy: axa ordonatelor
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REPREZENTAREA PUNCTELOR IN PLAN
baP ,
y
a 0 x •
u
Orice pereche ordonata
reprezenta in plan:
se poate
• b
,, RRba
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RECIPROC:
dcM ,
y
c x
•
u
Fiecarui punct M din plan i se asociaza perechea
d
:, RRdc
•
(c si d reprezinta abscisa, respectiv ordonata punctului M)
T
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EXEMPLU
y
-4 -3 -2 -1 O +1 +2 +3 x
+2
•+1
In figura alaturata sunt reprezentate punctele:
. 2,0; 2;6,2
; 1,2; 2
3,1
DC
BA
• A
•BD •
C•
Punctul N are abscisa -4 si ordonata -3.
N • -3-4
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EXERCITII 1. Reprezentati intr-un sistem de axe ortogonale
punctele:
2. Determinati coordonatele
punctelor A, B, C ,D, E, F
din figura alaturata.
. 4,3; 5,2; 0,4
; 1,3; 2,0; 3,2
FED
CBA
y
x-4 -2-3
-1
-2
••
•
O
•
•
2
AB
C
D
•1
-4
2
•E
F
u
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EXERCITII 3. a) Reprezentati intr-un sistem de axe de
coordonate punctele b) Precizati distantele de la cele doua puncte la
axele de coordonate. c) Aflati distanta dintre punctele A si B.
. 4,2 si 2,1 BA
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Rezolvare:y
x-1 O
•
•
A
•
-4
2
B
3. a) desen
b) d (A, Ox)=2u d (A, Oy)=1u d (B, Ox)=4u d (B, Oy)=2u
C
... .5345
4593636
.,
321
642 )
222
222..
dequAB
AB
BCACABCdrABC
uBC
uACc
PT
•
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FISA DE LUCRU1.a) Reprezentati intr-un sistem de axe ortogonale, punctele:
. 5;2; 4;2;0;2; 1,1 ; 3,1 EDCBA
b) Aflati distanta dintre punctele A si E.
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FISA DE LUCRU INDICATIE
y
x-5 -1
-2•
O
•
•
2
E
A
•
-4
2
D
-2
3
•1
1•C
B
1.a) desen b) d (A, Ox)=…u d (A, Oy)=…u d (E, Ox)=…u d (E, Oy)=…u
AM=…uEM=…u T.P. in AEM, dr.E, AE=…
M
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FISA DE LUCRU
y
x
-4 -2-3
-1
-2
••
•
O
•
•
2
AB
C
D
•1
-4
2
•E
F
u
2*. Precizati coordonatele punctelor din plan, din figura alaturata.
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Tema:
Ex. 2*. Manual (ed. Teora) pg.79 ex.2,ex.4a),b). Culegere (Mate+07/08) pg.8, ex. 4*.