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Unités Unités Origine Sens positif -5 -4 -3 -2 -1 O 1 2 3 4 5 A -5 -4 -3 -2 -1 O 1 2 3 4 5 B C D -1 O 1 2 ( d 4 -1 O 1 2 ( d 3 -1 O 1 2 ( d 2 -1 O 1 2 ( d 1 A C E G -3 -2 -1 0 1 2 A B C D -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 B A C
0 1 A B C D -4 -3 -2 -1 0 1 2 3 4 B A C -2 -1 0 1 2 3 A B C
A B C D -3 -2 -1 0 1 2 A B C D
ChingQuizz
:
2
exercises
a v ailable
for
Quizz
assessmen t
:
1.
Graduate d
line :
r e ading
c o or dinates
E.11355
Definition:
A
graduated
line
is
a
line
that
has
:
an
origin
(a
p oint)
a
unit
(a
length)
un
positiv e
direction
We
sa y
that
the
p oin t
A
has
x-coordinate
−
3
and
w e
denote
it
b y
A
−
3
.
Consider
the
graduated
line
b elo w
:
1
Giv e
the
x-co ordinates
of
p oin ts
B
,
C
,
and
D
.
2
Ho w
man y
units
separate
p oin ts
B
and
C
?
E.11356
1
Using
a
calculator,
giv e
the
decimal
v alues
of
the
divi- sions
:
a
1
÷
2=
:::
b
1
÷
4=
:::
c
1
÷
5=
:::
d
1
÷
10=
:::
Consider
the
four
graduated
lines
b elo w
:
2
Giv e
the
x-co ordinates
of
the
p oin ts
A
,
C
,
E
,
G
.
3
Place
the
follo wing
p oin ts
:
B
−
0
;
5
on
the
line
(
d
1
)
D
1
;
25
on
the
line
(
d
2
)
F
−
0
;
8
on
the
righ t
(
d
3
)
H
1
;
3
on
the
righ t
(
d
4
)
E.1287
Giv e
the
abscissa
of
the
p oin ts
A
,
B
,
C
,
and
D
placed
on
the
scaled
line
b elo w
:
E.10732
On
the
graduated
line
b elo w,
giv e
the
abscissas
of
the
p oin ts
A
,
B
and
C
:
E.1882
Giv e
the
abscissae
of
the
p oin ts
A
,
B
,
C
and
D
shown
on
the
line
b elo w
:
E.10731
On
the
graduated
line
b elo w,
giv e
the
abscissas
of
the
p oin ts
A
,
B
and
C
:
E.10730
On
the
graduated
line
b elo w,
giv e
the
abscissas
of
the
p oin ts
A
,
B
and
C
:
E.1933
The
dra wing
b elo w
represen ts
a
grad- uated
line
whose
origin
and
unit
ha v e
b een
erased.
W e
kno w
that
the
p oin ts
A
and
B
hav e
abscissas
A
−
1.4
and
B
+0.6
,
resp ectiv ely .
1
Place,
on
the
graph
ab o v e,
the
origin
and
unit
of
the
graduated
line.
2
Giv e
the
abscissas
of
the
p oin ts
C
and
D
.
2.
Graduate d
line :
placing
p oints
E.6578
Consider
a
graduated
line
and
the
four
p oin ts
A
,
B
,
C
and
D
of
this
line :
1
Giv e
the
abscissae
of
the
four
p oin ts
on
the
scaled
line.
2
Place
the
follo wing
p oin ts
on
the
graduated
line :
E
(1.5)
;
F
(
−
2.7)
;
G
(
−
0.2)
https:/ /c hingmath.fr
chapExoCorrec/11355 sacados/11355
Unités Unités Origine Sens positif -5 -4 -3 -2 -1 O 1 2 3 4 5 A -5 -4 -3 -2 -1 O 1 2 3 4 5 B C D chapExoCorrec/11356 sacados/11356 -1 O 1 2 ( d 4 -1 O 1 2 ( d 3 -1 O 1 2 ( d 2 -1 O 1 2 ( d 1 A C E G
chapExoCorrec/1287 sacados/1287 -3 -2 -1 0 1 2 A B C D chapExoCorrec/10732 sacados/10732 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 B A C chapExoCorrec/1882 sacados/1882 0 1 A B C D chapExoCorrec/10731 sacados/10731 -4 -3 -2 -1 0 1 2 3 4 B A C chapExoCorrec/10730 sacados/10730 -2 -1 0 1 2 3 A B C chapExoCorrec/1933 sacados/1933 A B C D chapExoCorrec/6578 sacados/6578 -3 -2 -1 0 1 2 A B C D
0 1 A B C D E -3 -2 -1 O 1 2 3 A C -3 -2 -1 0 1 2 A B C D
E.1303
Consider
a
graduated
line
whose
unit
is
1
cm
and
the
follo wing
three
p oin ts
mark ed
b y
their
abscissas
:
A
abscissa
+6
;
B
abscissa
−
4
;
C
abscissa
+1
1
What
is
the
measure
of
segmen t
[
AB
]
?
2
a
What
is
the
measure
of
segmen t
[
CB
]
?
b
What
can
b e
said
ab out
the
p oin t
C
relative
to
the
segmen t
[
AB
]
.
c
Construct
this
graduated
line
and
plot
these
three
p oin ts
on
it.
3
Note
x
A
the
abscissa
of
the
p oin t
A
and
x
B
the
abscissa
of
the
p oin t
B
.
Determine
the
v alue
of
x
A
+
x
B
2
.
What
do
w e
notice?
3.
Graduate d
line :
c onstruction
E.1286
On
a
graduated
line
whose
unit
mea- sures
2
cm
,
place
the
p oin ts
b elo w
on
the
graduated
line :
A
(
−
1.7)
;
B
(+2.3)
;
C
(
−
0.5)
;
D
(+1.4)
;
E
(
−
3.1)
E.10051
Dra w
a
straigh t
line
with
units
of
measuremen t
1
cm
and
place
the
follo wing
p oin ts
on
this
line :
H
(
−
3
;
2)
;
I
(+2
;
7)
;
J
(+4
;
6)
;
K
(
−
0
;
9)
;
L
(+6
;
4)
;
M
(
−
2
;
1)
E.10052
Dra w
a
graduated
line
whose
unit
measures
1
cm
.
Then
place
on
this
graduated
line,
the
follo w- ing
p oin ts
:
E
(+2.3)
;
F
(
−
0.7)
;
G
(+1.6)
;
H
(
−
2.8)
E.10053
Dra w
a
graduated
line
whose
unit
measures
3
cen timeters.
Place
the
follo wing
p oin ts
on
y our
graduated
line :
E
(
−
2.2)
;
F
(+1.7)
;
G
(
−
0.7)
4.
Distance
to
zer o
E.1271
Definition:
On
a
graduated
line,
consider
a
p oin t
A
.
The
distance
to
zero
of
p oin t
A
is
the
distance
from
p oin t
A
to
the
origin
of
the
co ordinate
system.
Consider
the
graduated
line
b elo w,
on
whic h
sev en
p oin ts
ha v e
b een
placed
:
1
Complete
the
table
b elo w
:
Poin t
Abscisse
Distance
from
zero
A
B
C
D
E
2
What
can
w e
sa y
ab out
the
x-co ordinates
of
p oin ts
D
and
E
?
E.11357
Definition:
Tw o
relativ e
n um b ers
are
said
to
b e
oppo- sites
if
they
are
the
same
distance
from
zero
but
ha v e
dif- feren t
signs.
Consider
the
graduated
line
b elo w
:
1
a
Giv e
the
x-co ordinate
of
p oin t
A
.
b
Place
p oin t
B
opposite
p oin t
A
.
2
a
Giv e
the
x-co ordinate
of
p oin t
C
.
b
Place
p oin t
D
opposite
p oin t
C
.
5.
Graduate d
line :
c omp arison
E.10805
Consider
a
graduated
line
and
the
four
p oin ts
A
,
B
,
C
,
and
D
on
this
line :
https:/ /c hingmath.fr
chapExoCorrec/1303 sacados/1303 chapExoCorrec/1286 sacados/1286 chapExoCorrec/10051 sacados/10051 chapExoCorrec/10052 sacados/10052 chapExoCorrec/10053 sacados/10053 chapExoCorrec/1271 sacados/1271 0 1 A B C D E chapExoCorrec/11357 sacados/11357 -3 -2 -1 O 1 2 3 A C chapExoCorrec/10805 sacados/10805 -3 -2 -1 0 1 2 A B C D
- - - - - - -
1
Giv e
the
x-co ordinates
of
the
four
p oin ts
on
the
gradu- ated
line.
2
Place
the
follo wing
p oin ts
on
the
graduated
line :
E
(
−
0.2)
;
F
(
−
2.7)
3
Arrange
the
six
n um b ers,
whic h
are
the
x-co ordinates
of
these
p oin ts,
in
ascending
order.
6.
Compar e
r elative
numb ers
E.1290
Proposition :
to
compare
:
t w o
positiv e
num b ers,
the
largest
is
the
one
that
is
furthest
from
zero ;
t w o
negative
num b ers,
the
largest
is
the
one
closest
to
zero ;
t w o
n um b ers
with
differen t
signs
,
the
largest
is
the
p ositiv e
n um b er.
Complete
this
sheet
with
the
signs
ˇ
<
‘’
and
ˇ
>
‘’:
a
−
2
.
.
.
.
.
.
+4
b
−
4
.
.
.
.
.
−
1
c
+4
.
.
.
.
.
.
−
2
d
+1
.
.
.
.
.
+7
E.10055
Cop y
and
complete
the
blanks
with
the
signs
<
and
>
:
a
+2
.
.
.
.
.
.
+5
b
+5
.
.
.
.
.
.
-5
c
+2
.
.
.
.
.
.
-2
d
-5
.
.
.
.
.
.
-101
E.1292
Cop y
and
complete
the
dotted
lines
with
the
sym b ols
<
and
>
:
a
−
5
;
3
:
:
:
:
:
:
−
4
;
7
b
+3
;
7
:
:
:
:
:
:
−
2
;
1
c
−
3
;
8
:
:
:
:
:
:
−
8
;
3
d
+2
;
7
:
:
:
:
:
:
−
3
;
1
E.6594
Cop y
and
complete
the
dotted
lines
with
the
sym b ols
<
and
>
:
a
-5,4
.
.
.
.
.
.
-6,1
b
+1,8
.
.
.
.
.
.
-3,2
c
-5,2
.
.
.
.
.
.
-6,3
d
+4,8
.
.
.
.
.
.
-1,2
E.1273
Cop y
and
complete
the
dotted
lines
with
the
signs
<
and
>
:
a
-8.4
.
.
.
.
.
.
-8.5
b
+2
.
.
.
.
.
.
+12.2
c
+15.1
.
.
.
.
.
.
+17.8
d
-305.15
.
.
.
.
.
.
-304.149
E.1293
Cop y
and
complete
the
dotted
lines
with
the
sym b ols
<
and
>
:
a
+2
;
012
.
.
.
+2
;
102
b
−
6
;
108
.
.
.
−
6
;
18
c
−
11
;
93
.
.
.
−
11
;
903
d
+5
;
94
.
.
.
+5
;
904
E.10056
Cop y
and
complete
the
dotted
lines
with
the
sym b ols
<
and
>
:
a
−
1
;
907
.
.
.
.
.
.
−
1
;
97
b
+125
;
630
.
.
.
.
.
+125
;
71
c
−
2
;
25
.
.
.
.
.
.
+2
;
205
d
−
8
;
13
.
.
.
.
.
−
8
;
123
E.10057
Cop y
and
complete
the
dotted
lines
with
the
sym b ols
<
and
>
:
a
+2
;
01
:
:
:
:
:
:
+2
;
10
b
−
7
;
58
:
:
:
:
:
:
−
7
;
508
c
+5
;
037
:
:
:
:
:
:
+5
;
307
d
−
201
;
35
:
:
:
:
:
:
−
201
;
4
E.11433
Cop y
and
complete
the
dotted
lines
with
the
sym b ols
<
and
>
:
a
−
5
;
103
:
:
:
:
:
:
−
5
;
13
b
7
;
105
:
:
:
:
:
:
7
;
15
c
−
4
;
14
:
:
:
:
:
:
−
4
;
9
d
−
7
;
17
:
:
:
:
:
:
−
7
;
475
e
1
;
72
:
:
:
:
:
:
1
;
45
f
8
;
236
:
:
:
:
:
:
−
8
;
56
7.
Order
r elative
numb ers
E.10054
Order
the
follo wing
n um b ers
in
as- cending
order
:
−
1.25
;
2.308
;
−
0.5
;
−
1.3
;
2.45
;
1.99
E.11432
Order
the
follo wing
n um b ers
in
ascending
order
:
2
;
402
;
−
3
;
49
;
−
3
;
87
;
2
;
7
;
−
3
;
9
;
−
3
;
807
E.1291
1
What
temp erature,
do
w e
read
on
the
thermome- ter?
2
Consider
the
follo wing
temp eratures
:
+3.6
o
C
;
−
2.6
o
C
;
−
1.2
o
C
;
+1.8
o
C
;
−
5.8
o
C
;
+5.2
o
C
Place
these
temp eratures
on
the
thermometer.
3
Cop y
and
arrange
in
descending
order
the
tem- p eratures
from
question
2
:
8.
Positive
c o or dinate
lo c ating
https:/ /c hingmath.fr
chapExoCorrec/1290 sacados/1290
chapExoCorrec/10055 sacados/10055 chapExoCorrec/1292 sacados/1292 chapExoCorrec/6594 sacados/6594 chapExoCorrec/1273 sacados/1273 chapExoCorrec/1293 sacados/1293 chapExoCorrec/10056 sacados/10056 chapExoCorrec/10057 sacados/10057 chapExoCorrec/11433 sacados/11433 chapExoCorrec/10054 sacados/10054 chapExoCorrec/11432 sacados/11432 chapExoCorrec/1291 sacados/1291 - - - - - - -
0 1 2 4 6 8 10 12 14 1 2 4 x y A B
E.11189
In
a
plane
equipp ed
with
a
co ordi- nate
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.10733
In
the
plane
with
a
reference
p oin t
:
W e
ha v e
the
co ordinates
:
A
(
:
:
:
;
:
:
:
)
;
B
(
:
:
:
;
:
:
:
)
;
C
(
:
:
:
;
:
:
:
)
E.10734
In
the
plane
with
a
reference
p oin t
:
W e
ha v e
the
co ordinates
:
A
(
:
:
:
;
:
:
:
)
;
B
(
:
:
:
;
:
:
:
)
;
C
(
:
:
:
;
:
:
:
)
E.10735
In
the
plane
with
a
reference
p oin t
:
W e
ha v e
the
co ordinates
:
A
(
:
:
:
;
:
:
:
)
;
B
(
:
:
:
;
:
:
:
)
;
C
(
:
:
:
;
:
:
:
)
E.10736
In
the
plane
with
a
reference
p oin t
:
W e
ha v e
the
co ordinates
:
A
(
:
:
:
;
:
:
:
)
;
B
(
:
:
:
;
:
:
:
)
;
C
(
:
:
:
;
:
:
:
)
9.
Lo c ating
in
the
plane
with
inte ger
c o or dinates
E.6577
W e
consider
the
plane
with
the
fol- lo wing
reference
frame
:
https:/ /c hingmath.fr
chapExoCorrec/11189 sacados/11189 0 1 2 4 6 8 10 12 14 1 2 4 x y A B
chapExoCorrec/10733 sacados/10733 chapExoCorrec/10734 sacados/10734 chapExoCorrec/10735 sacados/10735 chapExoCorrec/10736 sacados/10736 chapExoCorrec/6577 sacados/6577
x x y y -4 -3 -2 -1 0 +1 +2 +3 +4 -4 -3 -2 -1 +1 +2 +3 +4 A B C D
A B D C
-7 -6 -5 -4 -3 -2 -1 O +1 +2 +3 +4 +5 +6 -4 -3 -2 -1 +1 +2 +3 +4 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
1
Giv e
the
co ordinates
of
the
p oin ts
A
,
B
,
C
,
and
D
placed
in
the
ab o v e
frame.
2
Place
the
follo wing
p oin ts
in
the
b enc hmark
:
E
(
−
3
;
0 )
;
F
(2
;
−
3)
;
G
(1
;
3 )
;
H
(0
;
2 )
E.1932
Consider
the
grid
b elo w
:
1
Kno wing
that
the
p oin t
B
has
co ordinate
(
−
3
;
−
2)
,
cor- rectly
place
the
origin
the
axes
of
the
missing
mark er.
2
Determine
the
co ordinates
of
p oin ts
A
,
C
and
D
.
3
Among
the
p oin ts
placed
in
this
frame
:
a
What
is
the
p oin t
with
abscissa
−
2
?
b
What
is
the
p oin t
with
ordinate
−
2
?
E.1883
Consider
the
reference
p oin t
in
the
plane
b elo w
:
1
Determine
the
co ordinates
of
the
p oin ts
A
,
B
,
C
,
D
and
E
placed
in
the
ab o v e
reference
frame.
2
Name
le
(s)
poin t
(s)
having
their
abscissa
strictly
nega- tiv e.
3
Name
le
(s)
poin t
(s)
having
their
strictly
negativ e
ordi- nate.
E.1272
Dra w
a
reference
frame
suc h
that
the
units
of
the
t w o
axes
are
eac h
1
cm
.
Place
the
follo wing
p oin ts
in
this
reference
frame
:
A
(
−
6
;
+2 )
;
B
(
−
2
;
+5 )
;
C
(+4
;
+5 )
D
(+6
;
+3 )
;
E
(+10
;
0 )
;
F
(+10
;
−
2)
G
(+6
;
−
2)
;
H
(+6
;
−
4)
;
I
(+4
;
−
4)
J
(+4
;
−
2)
;
K
(
−
2
;
−
2)
;
L
(
−
2
;
−
4)
M
(
−
4
;
−
4)
;
N
(
−
4
;
−
2)
;
P
(
−
6
;
−
2)
Draw
the
p olygon
ABC D E F GH I J K LM N P
and
color
its
in terior.
What
ha v e
y ou
just
dra wn?
10.
Lo c ating
in
the
plane
with
inte ger
c o or dinates
and
ge ometry
E.1894
Consider
the
follo wing
reference
frame
in
the
plane
:
1
Determine
the
co ordinates
of
the
p oin ts
B
and
C
.
2
Place
p oin ts
:
A
(
−
2
;
+1 )
;
D
(0
;
−
2)
.
3
What
conjecture
can
b e
made
ab out
the
nature
of
the
quadrilateral
ABC D
?
https:/ /c hingmath.fr
x x y y -4 -3 -2 -1 0 +1 +2 +3 +4 -4 -3 -2 -1 +1 +2 +3 +4 A B C D chapExoCorrec/1932 sacados/1932 A B D C chapExoCorrec/1883 sacados/1883 -7 -6 -5 -4 -3 -2 -1 O +1 +2 +3 +4 +5 +6 -4 -3 -2 -1 +1 +2 +3 +4 A B C D E chapExoCorrec/1272 sacados/1272 chapExoCorrec/1894 sacados/1894 x x y y -6 -5 -4 -3 -2 -1 O +1 +2 +3 +4 +5 -3 -2 -1 +1 +2 B C
0 x y
x x y y -6 -5 -4 -3 -2 -1 O +1 +2 +3 +4 +5 -4 -3 -2 -1 +1 +2 +3 A B C x y x y -5 -4 -3 -2 -1 0 + 1 + 2 + 3 + 4 + 5 -5 -4 -3 -2 -1 0 + 1 + 2 + 3 + 4 + 5 x x y y -2 -1 0 1 2 3 4 5 6 7 -2 -1 1 2
x x y y -6 -5 -4 -3 -2 -1 O +1 +2 +3 +4 +5 -4 -3 -2 -1 +1 +2 +3 A D C B E F G H I
E.1289
1
In
the
reference
frame
b elo w,
place
the
follo wing
p oin ts
:
A
(
−
7
;
−
3)
;
B
(
−
5
;
+2 )
;
C
(
−
2
;
−
1)
D
(0
;
+4 )
;
E
(+6
;
+6 )
;
F
(+10
;
+4 )
;
G
(+4
;
+2 )
2
a
Connect
the
p oin ts
A
,
B
,
C
and
color
the
triangle
ABC
in
blue.
What
is
its
nature?
b
Connect
the
p oin ts
D
,
E
,
F
,
G
and
color
in
red
the
quadrilateral
DE F G
.
What
is
its
nature?
E.6592
W e
consider,
in
the
plane,
the
refer- ence
frame
b elo w
:
1
Determine
the
co ordinates
of
the
p oin ts
A
,
B
and
C
.
2
Dra w
the
symmetric
A
B
C
of
the
triangle
ABC
with
resp ect
to
the
p oin t
O
.
3
Giv e
the
co ordinates
of
the
p oin ts
A
,
B
and
C
.
E.1288
1
Place
in
the
frame
b elo w
the
p oin ts
:
A
(+2
;
+1 )
;
B
(+4
;
+3 )
;
C
(
−
1
;
+4 )
Draw
the
triangle
ABC
in
blue.
2
Dra w
the
symmetrical
A
of
the
p oin t
A
relative
to
the
line
(
xx
)
.
What
are
the
co ordinates
of
the
p oin t
A
?.
Dra w,
in
red,
the
symmetric
of
the
triangle
ABC
with
resp ect
to
(
xx
)
.
3
Dra w
the
symmetrical
A
of
the
p oin t
A
relative
to
the
line
(
yy
)
.
What
are
the
co ordinates
of
the
p oin t
A
?.
Dra w,
in
green,
the
symmetric
of
the
triangle
ABC
with
resp ect
to
(
yy
)
.
E.11819
On
considère
le
plan
m uni
d’un
rep ère :
1
Placer
les
trois
p oin ts
:
A
(
−
2
;
−
2)
;
B
(4
;
2 )
;
C
(6
;
−
1)
2
Conjecturer
la
nature
du
triangle
ABC
.
11.
Lo c ating
in
the
plan
E.6593
W e
consider,
in
the
plane,
the
refer- ence
frame
b elo w
:
https:/ /c hingmath.fr
chapExoCorrec/1289 sacados/1289 0 x y chapExoCorrec/6592 sacados/6592 x x y y -6 -5 -4 -3 -2 -1 O +1 +2 +3 +4 +5 -4 -3 -2 -1 +1 +2 +3 A B C chapExoCorrec/1288 sacados/1288 x y x y -5 -4 -3 -2 -1 0 + 1 + 2 + 3 + 4 + 5 -5 -4 -3 -2 -1 0 + 1 + 2 + 3 + 4 + 5 chapExoCorrec/11819 sacados/11819 x x y y -2 -1 0 1 2 3 4 5 6 7 -2 -1 1 2 chapExoCorrec/6593 sacados/6593 x x y y -6 -5 -4 -3 -2 -1 O +1 +2 +3 +4 +5 -4 -3 -2 -1 +1 +2 +3 A D C B E F G H I
0 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 -2 -1 1 x y A B 0 -3 -2 -1 1 2 3 -1 x y C D 0 -3 -2 -1 1 2 1 x y E F 0 -3 -2 -1 1 2 -1 1 x y A B C 0 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 -2 -1 1 x y
x x y y -3 -2 -1 0 1 2 3 4 5 -1 1 2 x x y y -4 -3 -2 -1 0 1 2 3 4 5 -2 -1 1
x x y y -5 -4 -3 -2 -1 0 1 2 3 4 5 -2 -1 1 2
1
Determine
the
co ordinates
of
the
p oin ts
A
,
B
and
C
.
2
a
Name
t w o
p oin ts
with
the
same
abscissa.
Giv e
their
co ordinates.
b
Name
t w o
p oin ts
with
the
same
y-in tercept.
Giv e
their
co ordinates.
E.10806
1
Giv e
the
co ordinates
of
p oin ts
A
and
B
given
b elo w
:
2
Giv e
the
co ordinates
of
p oin ts
C
and
D
given
b elo w
:
3
Giv e
the
co ordinates
of
p oin ts
E
and
F
given
b elo w
:
E.11434
1
In
the
plane,
consider
the
co ordinate
system
and
the
three
p oin ts
sho wn
b elo w
:
Giv e
the
co ordinates
of
p oin ts
A
,
B
,
C
.
2
Consider
the
plane
with
the
co ordinate
system
:
Place
the
three
p oin ts
:
D
(+4
;
5
;
+0
;
5)
;
E
(
−
3
;
−
1
;
5)
;
F
(
−
2.5
;
+1 )
E.11820
On
considère
le
plan
m uni
d’un
rep ère :
1
Placer
les
trois
p oin ts
:
A
(
−
3
;
0
;
5)
;
B
(4
;
5
;
−
1)
;
C
(5
;
1
;
5)
2
Conjecturer
la
nature
du
triangle
ABC
.
E.11821
On
considère
le
plan
m uni
d’un
rep ère :
1
Placer
les
trois
p oin ts
:
A
(
−
3
;
5
;
1
;
25)
;
B
(
−
3
;
75
;
−
1)
;
C
(3
;
−
1
;
75)
2
Conjecturer
la
nature
du
triangle
ABC
.
E.11822
On
considère
le
plan
m uni
d’un
rep ère :
1
Placer
les
trois
p oin ts
:
A
(
−
5
;
2 )
;
B
4
;
−
5
3
;
C
13
3
;
2
3
2
Conjecturer
la
nature
du
triangle
ABC
.
12.
Unclassified
exer cises
E.198
F or
eac h
question,
tic k
the
b o x
corre- sp onding
to
the
correct
answ er :
https:/ /c hingmath.fr
chapExoCorrec/10806 sacados/10806 0 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 -2 -1 1 x y A B 0 -3 -2 -1 1 2 3 -1 x y C D 0 -3 -2 -1 1 2 1 x y E F chapExoCorrec/11434 sacados/11434 0 -3 -2 -1 1 2 -1 1 x y A B C 0 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 -2 -1 1 x y chapExoCorrec/11820 sacados/11820 x x y y -3 -2 -1 0 1 2 3 4 5 -1 1 2 chapExoCorrec/11821 sacados/11821 x x y y -4 -3 -2 -1 0 1 2 3 4 5 -2 -1 1 chapExoCorrec/11822 sacados/11822 x x y y -5 -4 -3 -2 -1 0 1 2 3 4 5 -2 -1 1 2 chapExoCorrec/198 sacados/198
a
b
a
=
b
a
< b
a
>
b
a
3
−
2
b
−
8.3
−
7.9
c
8
3
3
d
28
4
7
e
15
3
16
3
f
8
5
8
6
g
5
17
9
7
E.6431
Complete
the
comparisons
with
the
signs
<
and
>
:
a
−
3
.
.
.
−
5
b
3
.
.
.
−
2.14
c
2.141
.
.
.
2.2
d
−
3.3
.
.
.
−
3.03
e
−
2.5
.
.
.
−
2.75
f
1.103
.
.
.
1.13
https:/ /c hingmath.fr
chapExoCorrec/6431 sacados/6431