Sho Iizuka
June 14, 2014
8

# 円と円の外接線の求め方

June 14, 2014

## Transcript

1. ԁͱԁͷ֎઀ઢ
!TIPSB@LVKJSB

2. w *\$1\$ͷزԿϥΠϒϥϦղઆγϦʔζͦͷͰ͢
w ԁͱԁͷަ఺ʹҾ͖ଓ͖ɺԁͱԁͷ֎઀ઢͷٻΊํ΋
Α͘෼͔Βͳ͔ͬͨͷͰɺࣗ෼ͷཧղͷͨΊʹ·ͱΊ
͓͖ͯ·͢
w ࢀߟʹͨ͠ϥΠϒϥϦ
w L@PQFSBGBO͞Μ
ʢݱࡏͲ͜Ͱμ΢ϯϩʔυͰ͖Δͷ͔ෆ໌ʣ
w X͞Μ

3. ֎઀ઢ

4. ಺઀ઢ

5. ໿ଋࣄ
Q
Q
S
S
\$
\$

6. ֎઀ઢͷٻΊํ
w SSͷ৔߹ͷํ਑
w \$ͷ઀఺ͱ\$ͷ઀఺Λ݁Ϳ௚ઢʢʹ઀ઢʣ͕
௚ઢQQͱฏߦʹͳΔͷͰɺSPUͳͲΛ࢖ͬͯ
͕Μ͹Δʢ؆୯ͳͷͰৄ͍͠ղઆ͸লུʣ
w S㱠Sͷ৔߹ͷํ਑
w ຊͷ֎઀ઢͷަ఺RΛٻΊ͔ͯΒUBOHFOU\$1Ͱ
\$͓Αͼ\$ͱͷ઀఺ΛٻΊΔ

7. S㱠Sͷ৔߹
R

8. S㱠Sͷ৔߹
R
S
S
U
E
θ

9. ઀ઢ U S
͔ΒͳΔ௚֯ࡾ֯ܗͱ
઀ઢ UE S
͔ΒͳΔ௚֯ࡾ֯ܗʹ͓͍ͯ
֯ВΛڞ༗͍ͯ͠ΔͷͰTJOВ͕౳͘͠ͳΔ
r1
t
=
r2
t + d
t =
r1d
r2
r1

10. ఺RͷҐஔΛಘΔʹ͸
఺QΛ࢝఺ͱͯ͠ɺQˠQͷ୯ҐϕΫτϧΛ
௕͞U͚ͩ৳͹ͤ͹ྑ͍
q = p1
+ t ·
p1
p2
d
= p1 +
r1d
r2
r1
·
p1 p2
d
=
p1
(r2
r1
)
r2 r1
+
r1
(p1
p2
)
r2 r1
=
p1
r2
p2
r1
r2 r1

11. 2఺R͕\$ଆͰ͸ͳ͘\$ଆʹ͋Δ৔߹͸ʁ
"͏·͍͔͘ͳ͍Α͏ͳؾ͕͢Δ͕ɺ
ಋग़ͯ͠ΈΔͱಉࣜ͡Ͱ఺QͷҐஔΛද͢͜ͱ͕Ͱ͖
Δ͜ͱ͕෼͔Δ

12. ಺઀ઢͷٻΊํ
w ർΕ͖ͯͨͷͰলུ͢Δ͕ɺ֓ཁ͸ҎԼͷͱ͓Γ
w ಺઀ઢͱ௚ઢQQͷަ఺ΛRͱ͠ɺQͱRͷڑ཭ΛUͱ͢Δ
w ಺઀ઢͱ௚ઢQQ͕ަΘ͍ͬͯΔ෦෼ʹ͓͍ͯɺର௖֯В
͕౳͍͠ʹTJOВ͕౳͍͜͠ͱ͔ΒSUS EU

w UΛܭࢉ͔ͯ͠ΒQˠQͷ୯ҐϕΫτϧΛ
௕͞U͚ͩ৳͹ͯ͠Rͷ࠲ඪΛಘΔ
w Rͱ\$ɺ͓ΑͼRͱ\$ʹ͍ͭͯUBOHFOU\$1Λܭࢉ͢Δ

13. ײ૝
w ηϯλʔࢼݧྗ͕େࣄͩͱࢥ͍·ͨ͠ʢখฒײʣ
w Ջ͕Ͱ͖ͨΒଓ͖Λ࡞Δ͔΋