Seance_1_correction

o
a
10nn a
1
3
1
3+2 3=3 3= 1
p q
105 480
5q2p
p=q= 1 105 480
5121= 10 548
ABCD a b
a b
a=b= 2 cm
√8 = √4×2 = √4×√2=2√2
1 348ime 5 428ime 12
13
12 13
1348 6 4
5428 6 1 348ime 5 428ime 12
13
x0< x < 1
21,36 21,37
21,362 21,36 <21,362 <
21,37

o
164 330 258 647 9
1+6+4+3+3+0+2+5+8+6+4+7 =
49 49 9 4 49 = 5 ×9+4
164 330 258 647 9
4
10 000
10 000 abcd
k
abcd =a+b+c+d+ 9k
abcd =
a×1 000 + b×100 + c×10 + d=
a+ 999a+b+ 99b+c+ 9c+d=
a+b+c+d+ 9(111a+ 11b+c) =
a+b+c+d+ 9k
r abcd 9r0
a+b+c+d9
r=r0
abcd = 9q+r q r r < 9a+b+c+d= 9q0+r0
q0r0r0<9
abcd =a+b+c+d+ 9k abcd = 9q0+r0+ 9k= 9(q0+k) + r0
r0<9
abcd 9r=r0
n n
0
n
n0
18 163 330 258 643
163 330 258 643 1 + 6 + 3 + 3 + 3 + 0 + 2 + 5 + 8 + 6 +
4 + 3 = 44 163 330 258 643
163 330 258 643
163 330 258 643 18

o
ABCD E, F, G, H [AB],[BC],[CD]
[DA]
EF GH
ABCD