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0 1 2 4 6 8 10 12 14 1 2 4 x y A B
-7 -6 -5 -4 -3 -2 -1 O 1 2 3 4 5 6 -3 -2 -1 1 2 A B C D E x x y y -6 -5 -4 -3 -2 -1 O 1 2 3 4 5 -3 -2 -1 1 2 B C
B
1.
Coor dinates
in
the
plane
E.11188
In
a
plane
equipp ed
with
a
co ordinate
system,
consider
the
t w o
p oin ts
A
and
B
:
Reading
co ordinates :
A
p oin t
in
the
plane
is
iden tified
using
the
scale
on
the
t w o
half-lines.
W e
will
p erform
the
follo wing
t w o
readings
in
this
order
:
w e
read
the
n um b er
on
the
horizon tal
half-line
(x-axis)
we
read
the
n um b er
on
the
v ertical
half-line
(y-axis)
Poin t
A
is
iden tified
b y
the
n um b er
14
,
then
the
n um b er
4
.
Vo cabulary
:
We
sa y
that
the
p oin t
A
has
coordinates
(14
;
4 )
L’
x-coordinate
of
the
p oin t
A
has
a
v alue
of
14
.
L’
ordinate
of
p oin t
A
has
a
v alue
of
4
.
1
Giv e
the
co ordinates
of
p oin t
B
.
2
Place
the
t w o
p oin ts
C
and
D
with
co ordinates
:
C
(2
;
1 )
;
D
(10
;
3 )
Note:
Check
that
p oin ts
A
,
B
,
C
,
and
D
are
aligned.
E.11182
In
the
plane
with
a
reference
p oin t
:
W e
ha v e
the
co ordinates
:
A
(
:
:
:
;
:
:
:
)
;
B
(
:
:
:
;
:
:
:
)
;
C
(
:
:
:
;
:
:
:
)
E.11183
In
the
plane
with
a
reference
p oin t
:
W e
ha v e
the
co ordinates
:
A
(
:
:
:
;
:
:
:
)
;
B
(
:
:
:
;
:
:
:
)
;
C
(
:
:
:
;
:
:
:
)
E.11185
Consider
the
co ordinate
system
in
the
diagram
b elo w
:
1
Determine
the
co ordinates
of
p oin ts
A
,
B
,
C
,
D
,
and
E
located
in
the
co ordinate
system
ab o v e.
2
Name
the
(s)
poin t
(s)
with
strictly
negativ e
abscissa.
3
Name
the
(s)
poin t
(s)
with
strictly
negativ e
ordinates.
E.11186
Consider
the
follo wing
reference
frame
in
the
plane
:
1
Determine
the
co ordinates
of
the
p oin ts
B
and
C
.
2
Place
the
p oin ts
:
A
(
−
4
;
1 )
;
D
(
−
3
;
−
2)
.
3
What
conjecture
can
b e
made
ab out
the
nature
of
the
quadrilateral
ABC D
?
E.11184
Consider
the
grid
b elo w
:
1
Kno wing
that
the
p oin t
B
has
the
co ordinate
(
−
3
;
−
1)
,
correctly
place
the
origin
and
the
missing
axes
of
the
grid.
2
Place
the
p oin ts
A
,
C
and
D
:
A
(
−
2
;
2 )
;
C
(7
;
−
1)
;
D
(6
;
−
4)
3
What
is
the
nature
of
the
quadrilateral
ABC D
?
https:/ /c hingmath.fr
chapExoCorrec/11188 sacados/11188 0 1 2 4 6 8 10 12 14 1 2 4 x y A B
chapExoCorrec/11182 sacados/11182 chapExoCorrec/11183 sacados/11183 chapExoCorrec/11185 sacados/11185 -7 -6 -5 -4 -3 -2 -1 O 1 2 3 4 5 6 -3 -2 -1 1 2 A B C D E chapExoCorrec/11186 sacados/11186 x x y y -6 -5 -4 -3 -2 -1 O 1 2 3 4 5 -3 -2 -1 1 2 B C chapExoCorrec/11184 sacados/11184 B
-6 -4 -2 0 1 2 4 6 8 10 -2 0 1 2 4 x y O x y z A B C D x y z A B C D
E.11817
1
In
the
mark er
b elo w,
place
the
follo wing
p oin ts
:
A
(
−
7
;
−
2)
;
B
(
−
5
;
3 )
;
C
(
−
2
;
0 )
D
(0
;
2 )
;
E
(6
;
4 )
;
F
(10
;
2 )
;
G
(4
;
0 )
2
a
Connect
the
p oin ts
A
,
B
,
C
and
color
the
triangle
ABC
blue.
What
is
its
nature?
b
Connect
the
p oin ts
D
,
E
,
F
,
G
and
color
the
quadri- lateral
DE F G
in
red.
What
is
its
nature?
2.
Coor dinates
in
sp ac e
E.11124
In
space
pro vided
with
a
reference
frame,
consider
the
figure
b elo w
comp osed
of
cub es
with
edges
measuring
1
:
Giv e
the
co ordinates
of
the
p oin ts
A
,
B
,
C
,
D
.
E.11125
In
the
space
mark ed
with
a
reference
p oin t,
consider
the
p oin ts
4
,
A
,
B
,
C
,
D
shown
b elo w
:
Giv e
the
co ordinates
of
these
four
p oin ts.
https:/ /c hingmath.fr
chapExoCorrec/11817 sacados/11817 -6 -4 -2 0 1 2 4 6 8 10 -2 0 1 2 4 x y chapExoCorrec/11124 sacados/11124 O x y z A B C D chapExoCorrec/11125 sacados/11125 x y z A B C D