ASSEMENT
Author: Daniel Mentrard

kk<0.1∧ll<0.1∧mm<0.1∧nn<0.1∧oo<0.1∧pp<0.1∧qq<0.1∧rr<0.1∧ss<0.1∧tt<0.1

Excellent !

Déplacer les points verts sur les points rouges

Vérification

Valeur maximale d'un nombre

Vérification

Associer les expressions de droite à celles de gauche.

 \sqrt{ 80 } 

 4\sqrt{5  } 

2 \sqrt{ 15 } 

 \sqrt{ 60 } 

12 \sqrt{ 3 } 

 \sqrt{432 } 

6 \sqrt{ 3 } 

 \sqrt{ 12 } + \sqrt{ 48 } 

 \sqrt{ 75 } - \sqrt{ 27 } 

2 \sqrt{ 3 } 

 \sqrt{  5 a² } 

a \sqrt{ 5 } 

 \sqrt{ 36 a³ b² } 

6ab \sqrt{a  } 

 \sqrt{ 72x^2y^3z } 

6xy \sqrt{ 2yz } 

3 \sqrt{ 2} + 4 \sqrt{ 2 } 

7 \sqrt{ 2 } 

 \sqrt{ 18 } 

3 \sqrt{ 2 } 

A = (9.345690909090909, -0.864)
B = (4.578290909090909, -2.437)
C = (6.611090909090909, 8.1868)
D = (9.152090909090909, 2.9596)
E = (-0.019709090909090673, 7.4124)
F = (3.2956909090909092, 5.7425999999999995)
G = (4.11849090909091, 1.6043999999999998)
H = (-0.26170909090909067, 2.6934)
I = (-0.06810909090909067, -1.5174)
J = (9.539290909090909, 6.0572)
aa = Mod(Random[0.0, 100.0], 10.0)
M = If(aa ≟ 0.0, A, If[aa ≟ 1.0, B, If[aa ≟ 2.0, C, If[aa ≟ 3.0, D, If[aa ≟ 4.0, E, If[aa ≟ 5.0, F, If[aa ≟ 6.0, G, If[aa ≟ 7.0, H, If[aa ≟ 8.0, I, J]]]]]]]])
N = If(aa ≟ 0.0, B, If[aa ≟ 1.0, C, If[aa ≟ 2.0, D, If[aa ≟ 3.0, E, If[aa ≟ 4.0, F, If[aa ≟ 5.0, G, If[aa ≟ 6.0, H, If[aa ≟ 7.0, I, If[aa ≟ 8.0, J, A]]]]]]]])
K = If(aa ≟ 0.0, C, If[aa ≟ 1.0, D, If[aa ≟ 2.0, E, If[aa ≟ 3.0, F, If[aa ≟ 4.0, G, If[aa ≟ 5.0, H, If[aa ≟ 6.0, I, If[aa ≟ 7.0, J, If[aa ≟ 8.0, A, B]]]]]]]])
L = If(aa ≟ 0.0, D, If[aa ≟ 1.0, E, If[aa ≟ 2.0, F, If[aa ≟ 3.0, G, If[aa ≟ 4.0, H, If[aa ≟ 5.0, I, If[aa ≟ 6.0, J, If[aa ≟ 7.0, A, If[aa ≟ 8.0, B, C]]]]]]]])
O = If(aa ≟ 0.0, E, If[aa ≟ 1.0, F, If[aa ≟ 2.0, G, If[aa ≟ 3.0, H, If[aa ≟ 4.0, I, If[aa ≟ 5.0, J, If[aa ≟ 6.0, A, If[aa ≟ 7.0, B, If[aa ≟ 8.0, C, D]]]]]]]])
P = If(aa ≟ 0.0, F, If[aa ≟ 1.0, G, If[aa ≟ 2.0, H, If[aa ≟ 3.0, I, If[aa ≟ 4.0, J, If[aa ≟ 5.0, A, If[aa ≟ 6.0, B, If[aa ≟ 7.0, C, If[aa ≟ 8.0, D, E]]]]]]]])
Q = If(aa ≟ 0.0, G, If[aa ≟ 1.0, H, If[aa ≟ 2.0, I, If[aa ≟ 3.0, J, If[aa ≟ 4.0, A, If[aa ≟ 5.0, B, If[aa ≟ 6.0, C, If[aa ≟ 7.0, D, If[aa ≟ 8.0, E, F]]]]]]]])
R = If(aa ≟ 0.0, H, If[aa ≟ 1.0, I, If[aa ≟ 2.0, J, If[aa ≟ 3.0, A, If[aa ≟ 4.0, B, If[aa ≟ 5.0, C, If[aa ≟ 6.0, D, If[aa ≟ 7.0, E, If[aa ≟ 8.0, F, G]]]]]]]])
S = If(aa ≟ 0.0, I, If[aa ≟ 1.0, J, If[aa ≟ 2.0, A, If[aa ≟ 3.0, B, If[aa ≟ 4.0, C, If[aa ≟ 5.0, D, If[aa ≟ 6.0, E, If[aa ≟ 7.0, F, If[aa ≟ 8.0, G, H]]]]]]]])
T = If(aa ≟ 0.0, J, If[aa ≟ 1.0, A, If[aa ≟ 2.0, B, If[aa ≟ 3.0, C, If[aa ≟ 4.0, D, If[aa ≟ 5.0, E, If[aa ≟ 6.0, F, If[aa ≟ 7.0, G, If[aa ≟ 8.0, H, I]]]]]]]])
a = 1.3 (slider from -5 to 5, step 0.1)
BB = (17.30749090909091, -1.9772)
CC = (17.40429090909091, 8.574)
DD = (14.04049090909091, 2.4514)
EE = (14, 0)
FF = (17.428490909090907, 4.0001999999999995)
GG = (14.088890909090908, 9.179)
HH = (14.06469090909091, 4.7261999999999995)
II = (14.06469090909091, 7.242999999999999)
JJ = (17.35589090909091, 6.0572)
AA = (17.47689090909091, 1.3381999999999998)
TT = If(aa ≟ 0.0, BB, If[aa ≟ 1.0, CC, If[aa ≟ 2.0, DD, If[aa ≟ 3.0, EE, If[aa ≟ 4.0, FF, If[aa ≟ 5.0, GG, If[aa ≟ 6.0, HH, If[aa ≟ 7.0, II, If[aa ≟ 8.0, JJ, AA]]]]]]]])
SS = If(aa ≟ 0.0, CC, If[aa ≟ 1.0, DD, If[aa ≟ 2.0, EE, If[aa ≟ 3.0, FF, If[aa ≟ 4.0, GG, If[aa ≟ 5.0, HH, If[aa ≟ 6.0, II, If[aa ≟ 7.0, JJ, If[aa ≟ 8.0, AA, BB]]]]]]]])
RR = If(aa ≟ 0.0, DD, If[aa ≟ 1.0, EE, If[aa ≟ 2.0, FF, If[aa ≟ 3.0, GG, If[aa ≟ 4.0, HH, If[aa ≟ 5.0, II, If[aa ≟ 6.0, JJ, If[aa ≟ 7.0, AA, If[aa ≟ 8.0, BB, CC]]]]]]]])
LL = If(aa ≟ 0.0, EE, If[aa ≟ 1.0, FF, If[aa ≟ 2.0, GG, If[aa ≟ 3.0, HH, If[aa ≟ 4.0, II, If[aa ≟ 5.0, JJ, If[aa ≟ 6.0, AA, If[aa ≟ 7.0, BB, If[aa ≟ 8.0, CC, DD]]]]]]]])
QQ = If(aa ≟ 0.0, FF, If[aa ≟ 1.0, GG, If[aa ≟ 2.0, HH, If[aa ≟ 3.0, II, If[aa ≟ 4.0, JJ, If[aa ≟ 5.0, AA, If[aa ≟ 6.0, BB, If[aa ≟ 7.0, CC, If[aa ≟ 8.0, DD, EE]]]]]]]])
KK = If(aa ≟ 0.0, GG, If[aa ≟ 1.0, HH, If[aa ≟ 2.0, II, If[aa ≟ 3.0, JJ, If[aa ≟ 4.0, AA, If[aa ≟ 5.0, BB, If[aa ≟ 6.0, CC, If[aa ≟ 7.0, DD, If[aa ≟ 8.0, EE, FF]]]]]]]])
OO = If(aa ≟ 0.0, HH, If[aa ≟ 1.0, II, If[aa ≟ 2.0, JJ, If[aa ≟ 3.0, AA, If[aa ≟ 4.0, BB, If[aa ≟ 5.0, CC, If[aa ≟ 6.0, DD, If[aa ≟ 7.0, EE, If[aa ≟ 8.0, FF, GG]]]]]]]])
NN = If(aa ≟ 0.0, II, If[aa ≟ 1.0, JJ, If[aa ≟ 2.0, AA, If[aa ≟ 3.0, BB, If[aa ≟ 4.0, CC, If[aa ≟ 5.0, DD, If[aa ≟ 6.0, EE, If[aa ≟ 7.0, FF, If[aa ≟ 8.0, GG, HH]]]]]]]])
PP = If(aa ≟ 0.0, JJ, If[aa ≟ 1.0, AA, If[aa ≟ 2.0, BB, If[aa ≟ 3.0, CC, If[aa ≟ 4.0, DD, If[aa ≟ 5.0, EE, If[aa ≟ 6.0, FF, If[aa ≟ 7.0, GG, If[aa ≟ 8.0, HH, II]]]]]]]])
MM = If(aa ≟ 0.0, AA, If[aa ≟ 1.0, BB, If[aa ≟ 2.0, CC, If[aa ≟ 3.0, DD, If[aa ≟ 4.0, EE, If[aa ≟ 5.0, FF, If[aa ≟ 6.0, GG, If[aa ≟ 7.0, HH, If[aa ≟ 8.0, II, JJ]]]]]]]])
mm = Distance(M, MM)
nn = Distance(N, NN)
ll = Distance(L, LL)
oo = Distance(O, OO)
pp = Distance(P, PP)
qq = Distance(Q, QQ)
rr = Distance(R, RR)
ss = Distance(S, SS)
kk = Distance(K, KK)
tt = Distance(T, TT)
c = false
U = (2.0090909090909097, 6.259999999999999)
V = (9.049090909090909, 5.319999999999999)
W = (3.7890909090909095, 11.499999999999998)
res = If(kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss < 0.1 ∧ tt < 0.1, 10.0, 9.0)
resfin = If(kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss < 0.1 ∧ tt < 0.1, 8.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss < 0.1 ∧ tt > 0.1, 9.0, 8.0])
f = If(kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss < 0.1 ∧ tt < 0.1, 10.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss < 0.1 ∧ tt > 0.1, 9.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 8.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr > 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 7.0, 6.0]]])
g = If(kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss < 0.1 ∧ tt < 0.1, 10.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss < 0.1 ∧ tt > 0.1, 9.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 8.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr > 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 7.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq > 0.1 ∧ rr > 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 6.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo > 0.1 ∧ pp > 0.1 ∧ qq > 0.1 ∧ rr > 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 5.0, 4.0]]]]])
gg = If(kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss < 0.1 ∧ tt < 0.1, 10.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss < 0.1 ∧ tt > 0.1, 9.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr < 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 8.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq < 0.1 ∧ rr > 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 7.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp < 0.1 ∧ qq > 0.1 ∧ rr > 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 6.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo < 0.1 ∧ pp > 0.1 ∧ qq > 0.1 ∧ rr > 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 5.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn < 0.1 ∧ oo > 0.1 ∧ pp > 0.1 ∧ qq > 0.1 ∧ rr > 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 4.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm < 0.1 ∧ nn > 0.1 ∧ oo > 0.1 ∧ pp > 0.1 ∧ qq > 0.1 ∧ rr > 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 3.0, If[kk < 0.1 ∧ ll < 0.1 ∧ mm > 0.1 ∧ nn > 0.1 ∧ oo > 0.1 ∧ pp > 0.1 ∧ qq > 0.1 ∧ rr > 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 2.0, If[kk < 0.1 ∧ ll > 0.1 ∧ mm > 0.1 ∧ nn > 0.1 ∧ oo > 0.1 ∧ pp > 0.1 ∧ qq > 0.1 ∧ rr > 0.1 ∧ ss > 0.1 ∧ tt > 0.1, 1.0, 0.0]]]]]]]]])
Z = (-1, 10)
A_1 = (18, 10)
s = Line(Z, A_1)
B_1 = (19.195090909090908, 10.2438)
s1 = If(kk < 0.1, 1.0, 0.0)
s2 = If(ll < 0.1, 1.0, 0.0)
s3 = If(mm < 0.1, 1.0, 0.0)
s4 = If(nn < 0.1, 1.0, 0.0)
s5 = If(oo < 0.1, 1.0, 0.0)
s6 = If(pp < 0.1, 1.0, 0.0)
s7 = If(qq < 0.1, 1.0, 0.0)
s8 = If(rr < 0.1, 1.0, 0.0)
s9 = If(ss < 0.1, 1.0, 0.0)
s10 = If(tt < 0.1, 1.0, 0.0)
Score: s1 + s2 + s3 + s4 + s5 + s6 + s7 + s8 + s9 + s10
texte3: " Score : " + Score + " /10"
C_1 = Point(s)
D_1 = (14.489090909090908, 11.879999999999999)
b = Segment(C_1, D_1)
E_1 = (15.589090909090908, 9.499999999999998)
F_1 = (-2.8753090909090906, 10.1228)
G_1 = (-1.4717090909090906, 10.1228)
H_1 = (10.74929090909091, 9.5662)
I_1 = (10.725090909090909, -2.9694)