https://youtu.be/oDylkdYppyE

1. ήʔϜཧ࿦#4*$ԋश
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά

2. ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά

3. ԼਤͰද‫͞ݱ‬ΕΔήʔϜΛγάφϦϯάήʔϜͱ‫Ϳݺ‬
γάφϦϯάήʔϜʹ͓͚Δ‫׬‬શϕΠδΞϯ‫ߧۉ‬Λ‫ٻ‬ΊΑ
ͳ͓
७ઓུͷൣғͷΈͰΑ͍
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
৘ใू߹
ֶੜ
λΠϓ) ೳྗߴ͍
λΠϓ- ೳྗ௿͍
P1
‫ۀا‬
P2
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
औಘ͠ͳ͍
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ࢿ֨औಘʹίετ͕͔͔Δ
ͷརಘ
P1
ͷརಘ
P2
ɿࣗવ
N
ήʔϜͷ։࢝Ґஔ
1
4
3
4
औಘ͠ͳ͍

4. ‫׬‬શϕΠδΞϯ‫ߧۉ‬
‫׬‬શϕΠδΞϯ‫ߧۉ‬ઓུͷ૊ ͱ৴೦ͷମ‫ܥ‬ ͷ૊ Ͱ
͕ ͷ΋ͱͰஞ࣍߹ཧతͰ͋Γ
͕ ʹ੔߹తͰ͋Δ΋ͷΛऑ‫׬‬શϕΠδΞϯ‫͏͍ͱߧۉ‬
ߦಈઓུͷஞ࣍߹ཧੑల։‫ܗ‬ήʔϜ ʹ͓͍ͯ
৴೦ͷମ‫ܥ‬ ͕༩͑ΒΕ͍ͯΔͱ͢Δ
͜ͷͱ͖
ઓུͷ૊ ͕
ϓϨΠϠʔ ͷ৘ใू߹ ʹ͓͍ͯҎԼΛຬͨ͢ͱ͖
͸৴೦ͷମ‫ܥ‬ ͷ΋ͱͰ৘ใू߹ ʹ͓͍ͯஞ࣍߹ཧతͰ͋Δͱ͍͏
৴೦ͷମ‫ͱܥ‬੔߹ੑల։‫ܗ‬ήʔϜ ʹ͓͍ͯ
ઓུͷ૊ ͕༩͑ΒΕ͍ͯΔͱ͢Δ
͜ͷͱ͖
৴೦ͷମ‫ܥ‬ ͕
೚ҙͷϓϨΠϠʔ ͷ೚ҙͷ৘ใू߹ ʹ͓͍ͯ
Ͱ͋Ε͹
͢΂ͯͷ ͷ఺ ʹ͍ͭͯ
ͱͳΔͱ͖
͸ઓུͷ૊ ʹ͓͍ͯ੔߹తͰ͋Δͱ͍͏
b μ (b, μ)
b μ μ b
Γ μ
b = (b1
, ⋯, bn
) i ui
l
b μ ui
l
Hi
(ui
l, μ, (bi,ui
l, b−i,ui
l)) ≥ Hi
(ui
l, μ, (b′

i,ui
l, b−i,ui
l)), ∀b′

i,ui
l ∈ Bi,ui
l
Γ b = (b1
, ⋯, bn
)
μ i ui
l
Prob(ui
l |b) 0 ui
l x*
μ(x*) =
Prob(x*|b)
∑x∈ui
l
Prob(x|b)
μ b
ߦಈઓུʹΑͬͯ౸ୡՄೳͳ
‫ܦ‬࿏ʹ͓͚Δ߹ཧੑͷΈߟ͑Δ

5. ֤৘ใू߹ʹ͓͚Δ৴೦Λߟ͑ΔϓϨΠϠʔ͸৘ใू߹ʹҰ఺͔͠‫͍ͳ·ؚ‬ͷͰ
৴೦͸֤఺Ͱ
ϓϨΠϠʔͷ৘ใू߹Ͱ͸৘ใू߹ʹ఺‫ؚ‬ΉͷͰ৴೦Λ
ͱ͢Δ
(r,1 − r) (r′

,1 − r′

)
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
r
1 − r
r′

1 − r′

(−1, − 2)
(−5, 0)
औಘ͠ͳ͍
औಘ͠ͳ͍

6. ϓϨΠϠʔͷࠨଆͷ৘ใू߹ʹ͓͚Δஞ࣍߹ཧతͳߦಈ͸
ʮ࠾༻ʯΛબͿͱɿ
ʮෆ࠾༻ʯΛબͿͱɿ Ͱ͋ΔͨΊ
Ώ͑ʹ ͷͱ͖ʮ࠾༻ʯ͕࠷ద
ͷͱ͖ʮෆ࠾༻ʯ͕࠷ద
ͷͱ͖ແࠩผʢͲͪΒ΋࠷ద
2r + (−2)(1 − r) = 4r − 2 0r + 0(1 − r) = 0
4r − 2 0 ⇔ r
1
2
r
1
2
r =
1
2
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
r
1 − r
r′

1 − r′

(−1, − 2)
(−5, 0)
औಘ͠ͳ͍
औಘ͠ͳ͍

7. ϓϨΠϠʔͷӈଆͷ৘ใू߹ʹ͓͚Δஞ࣍߹ཧతͳߦಈ͸
ʮ࠾༻ʯΛબͿͱɿ
ʮෆ࠾༻ʯΛબͿͱɿ Ͱ͋ΔͨΊ
Ώ͑ʹ ͷͱ͖ʮ࠾༻ʯ͕࠷ద
ͷͱ͖ʮෆ࠾༻ʯ͕࠷ద
ͷͱ͖ແࠩผʢͲͪΒ΋࠷ద
2r′

+ (−2)(1 − r′

) = 4r′

− 2 0r′

+ 0(1 − r′

) = 0
4r′

− 2 0 ⇔ r′

1
2
r′

1
2
r′

=
1
2
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
r
1 − r
r′

1 − r′

(−1, − 2)
(−5, 0)
औಘ͠ͳ͍
औಘ͠ͳ͍

8. λΠϓ͕-ͷ৔߹ͷϓϨΠϠʔͷஞ࣍߹ཧతͳߦಈΛߟ͑Δ
ϓϨΠϠʔͷ७ઓུ͸
ࠨଆͷߦಈӈଆͷߦಈͰද͢ͱ
࠾༻࠾༻
࠾༻ෆ࠾༻
ෆ࠾༻࠾༻
ෆ࠾༻ෆ࠾༻ͷ௨Γ͋Δ͕
࠾༻࠾༻Ͱ͋Ε͹ʮࢿ֨औಘʯΛબͿͱ
ʮऔಘ͠ͳ͍ʯΛબͿͱͷརಘΛಘΔͷͰʮऔಘ͠ͳ͍ʯ͕࠷ద
࠾༻ෆ࠾༻Ͱ͋Ε͹ʮࢿ֨औಘʯΛબͿͱ
ʮऔಘ͠ͳ͍ʯΛબͿͱͷརಘΛಘΔͷͰʮऔಘ͠ͳ͍ʯ͕࠷ద
ෆ࠾༻࠾༻Ͱ͋Ε͹ʮࢿ֨औಘʯΛબͿͱ
ʮऔಘ͠ͳ͍ʯΛબͿͱͷརಘΛಘΔͷͰʮऔಘ͠ͳ͍ʯ͕࠷ద
ෆ࠾༻ෆ࠾༻Ͱ͋Ε͹ʮࢿ֨औಘʯΛબͿͱ
ʮऔಘ͠ͳ͍ʯΛબͿͱͷརಘΛಘΔͷͰʮऔಘ͠ͳ͍ʯ͕࠷ద
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
r
1 − r
r′

1 − r′

λΠϓ-͸
ৗʹʮऔಘ͠ͳ͍ʯ
औಘ͠ͳ͍
औಘ͠ͳ͍

9. λΠϓ͕)ͷ৔߹ͷϓϨΠϠʔͷஞ࣍߹ཧతͳߦಈΛߟ͑Δ
ϓϨΠϠʔͷ७ઓུ͸
ࠨଆͷߦಈӈଆͷߦಈͰද͢ͱ
࠾༻࠾༻
࠾༻ෆ࠾༻
ෆ࠾༻࠾༻
ෆ࠾༻ෆ࠾༻ͷ௨Γ͋Δ͕
࠾༻࠾༻Ͱ͋Ε͹ʮࢿ֨औಘʯΛબͿͱ
ʮऔಘ͠ͳ͍ʯΛબͿͱͷརಘΛಘΔͷͰʮऔಘ͠ͳ͍ʯ͕࠷ద
࠾༻ෆ࠾༻Ͱ͋Ε͹ʮࢿ֨औಘʯΛબͿͱ
ʮऔಘ͠ͳ͍ʯΛબͿͱͷརಘΛಘΔͷͰʮࢿ֨औಘʯ͕࠷ద
ෆ࠾༻࠾༻Ͱ͋Ε͹ʮࢿ֨औಘʯΛબͿͱ
ʮऔಘ͠ͳ͍ʯΛબͿͱͷརಘΛಘΔͷͰʮऔಘ͠ͳ͍ʯ͕࠷ద
ෆ࠾༻ෆ࠾༻Ͱ͋Ε͹ʮࢿ֨औಘʯΛબͿͱ
ʮऔಘ͠ͳ͍ʯΛબͿͱͷརಘΛಘΔͷͰʮऔಘ͠ͳ͍ʯ͕࠷ద
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
r
1 − r
r′

1 − r′

औಘ͠ͳ͍
औಘ͠ͳ͍

10. λΠϓ)ͷϓϨΠϠʔ͕ʮࢿ֨औಘʯΛબͿ৔߹
ϓϨΠϠʔͷ৴೦ͷ੔߹ੑʹ͍ͭͯߟ͑Δ
੔߹తͳ৴೦͸
(r,1 − r) = (1,0) (r′

,1 − r′

) = (0,1)
r =
1 × 1
4
1 ×
1
4
+ 0 ×
3
4
r′

=
0 × 1
4
0 ×
1
4
+ 1 ×
3
4
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
1
0
0
1
औಘ͠ͳ͍
औಘ͠ͳ͍

11. λΠϓ)ͷϓϨΠϠʔ͕ʮࢿ֨औಘʯΛબͿ৔߹
੔߹తͳ৴೦͸
͜ͷ΋ͱͰ
ϓϨΠϠʔͷ࠷దͳߦಈ͸ ͷͱ͖ʮ࠾༻ʯ
ͷͱ͖ʮෆ࠾༻ʯ
ͷͱ͖ແࠩผͰ͋Δ͔Β
ΑΓࠨଆͷ৘ใू߹Ͱ͸ʮ࠾༻ʯΛબͿಉ༷ʹͯ͠ӈଆͰ͸ ΑΓʮෆ࠾༻ʯΛબͿ
(r,1 − r) = (1,0) (r′

,1 − r′

) = (0,1)
r
1
2
r
1
2
r =
1
2
r = 1
1
2
r′

= 0
1
2
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
1
0
0
1
औಘ͠ͳ͍
औಘ͠ͳ͍

12. ϓϨΠϠʔ͕࠾༻ෆ࠾༻ΛͱΔ৔߹ͷϓϨΠϠʔͷஞ࣍߹ཧతͳߦಈ͸
λΠϓ-͸ʮऔಘ͠ͳ͍ʯ
λΠϓ)͸
࠾༻ෆ࠾༻Ͱ͋Ε͹ʮࢿ֨औಘʯΛબͿͱ
ʮऔಘ͠ͳ͍ʯΛબͿͱͷརಘΛಘΔͷͰʮࢿ֨औಘʯ͕࠷ద
Ͱ͋ͬͨͷͰ
Ώ͑ʹ
ҎԼਤͷঢ়ଶ͸‫׬‬શϕΠδΞϯ‫͋Ͱߧۉ‬Δ ࢿ֨औಘऔಘ͠ͳ͍
࠾༻ෆ࠾༻
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
1
0
0
1
औಘ͠ͳ͍
औಘ͠ͳ͍

13. λΠϓ)ͷϓϨΠϠʔ͕ʮऔಘ͠ͳ͍ʯΛબͿ৔߹
ϓϨΠϠʔͷ৴೦ͷ੔߹ੑʹ͍ͭͯߟ͑Δ
৴೦ ͸౸ୡ͠ͳ͍৘ใू߹্ͷ৴೦ͳͷͰ
ͷ೚ҙͷ஋͕੔߹త
͕੔߹త
r 0 ≤ r ≤ 1
(r′

,1 − r′

) = (
1
4
,
3
4
) r′

=
1 × 1
4
1 ×
1
4
+ 1 ×
3
4
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
r
औಘ͠ͳ͍
औಘ͠ͳ͍
1 − r
1
4
3
4

14. ৴೦ ͸ ͷ೚ҙͷ஋͕੔߹త
͕੔߹త
͜ͷ΋ͱͰ
ϓϨΠϠʔͷ࠷దͳߦಈ͸ ͷͱ͖࠾༻
ͷͱ͖ෆ࠾༻
ͷͱ͖ແࠩผͰ͋Δ͔Β
ෆ࠾༻ΛબͿͷ͕ஞ࣍߹ཧత
r 0 ≤ r ≤ 1 (r′

,1 − r′

) = (
1
4
,
3
4
)
r′

1
2
r′

1
2
r′

=
1
2
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
r
औಘ͠ͳ͍
औಘ͠ͳ͍
1 − r
1
4
3
4

15. ৴೦ ͸ ͷ೚ҙͷ஋͕੔߹త
͕੔߹త
ࠨଆͷ৘ใू߹Ͱ
ϓϨΠϠʔ͕ʮ࠾༻ʯΛબͿͱλΠϓ)ͷϓϨΠϠʔ͕ߦಈΛม͑ΔΠϯηϯςΟϒΛ΋ͭ
ͭ·Γʮऔಘ͠ͳ͍ʯ͕࠷దͱ͸ͳΒͳ͘ͳΔ͜ΕΛ;·͑Δͱ
ʮऔಘ͠ͳ͍ʯ͕ஞ࣍߹ཧతʹͳΔͷ͸
ϓϨΠϠʔ͸ ͷ೚ҙͷ৴೦ ͜Ε͸੔߹తͳ৴೦
Λ΋ͪ
ʮෆ࠾༻ʯΛબͿ৔߹Ͱ͋Δ
r 0 ≤ r ≤ 1 (r′

,1 − r′

) = (
1
4
,
3
4
)
0 ≤ r ≤
1
2
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
r ≤ 1/2
औಘ͠ͳ͍
औಘ͠ͳ͍
1 − r
1
4
3
4

16. Ώ͑ʹ
ҎԼਤͷঢ়ଶ͸‫׬‬શϕΠδΞϯ‫͋Ͱߧۉ‬Δ
औಘ͠ͳ͍औಘ͠ͳ͍
ෆ࠾༻ෆ࠾༻
ͨͩ͠
(r,1 − r)
(
1
4
,
3
4)
0 ≤ r ≤
1
2
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
r ≤ 1/2
औಘ͠ͳ͍
औಘ͠ͳ͍
1 − r
1
4
3
4

17. ҎԼਤͷঢ়ଶ͸‫׬‬શϕΠδΞϯ‫͋Ͱߧۉ‬Δ
औಘ͠ͳ͍औಘ͠ͳ͍
ෆ࠾༻ෆ࠾༻
ͨͩ͠
λΠϓʹΑͬͯߦಈ͕۠ผ͞Εͳ͍ʹҰ‫ ߧۉׅ‬QPPMJOHFRVJMJCSJVN
ͱ͍͏
ࢿ֨औಘ͕γάφϧͱͯ͠‫ػ‬ೳͯ͠ͳ͍
ඇޮ཰ͳ‫ߧۉ‬
(r,1 − r)
(
1
4
,
3
4)
0 ≤ r ≤
1
2
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
r ≤ 1/2
औಘ͠ͳ͍
औಘ͠ͳ͍
1 − r
1
4
3
4

18. ҎԼਤͷঢ়ଶ͸‫׬‬શϕΠδΞϯ‫͋Ͱߧۉ‬Δ
ࢿ֨औಘऔಘ͠ͳ͍
࠾༻ෆ࠾༻
λΠϓʹΑͬͯߦಈ͕۠ผ͞ΕΔʹ෼཭‫ ߧۉ‬TFQBSBUJOHFRVJMJCSJVN
ͱ͍͏
ࢿ֨औಘ͕γάφϧͱͯ͠‫ػ‬ೳ͍ͯ͠Δ
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
P1
P2
P1
)
γάφϦϯάήʔϜ
P2
ࢿ֨औಘ
(4, 2)
N
P2
P2
(0, 0)
(4, − 2)
(0, 0)
-
ࢿ֨औಘ
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
࠾༻
ෆ࠾༻
(2, 2)
(−2, 0)
(−1, − 2)
(−5, 0)
ͷརಘ
P1
ͷརಘ
P2
1
4
3
4
1
0
0
1
औಘ͠ͳ͍
औಘ͠ͳ͍

19. ήʔϜཧ࿦#4*$ԋश
ब৬ࢢ৔ʹ͓͚ΔγάφϦϯά
࣍ճɿԋश