円と円の外接線の求め方

https://www.slideshare.net/kujira16/ss-35861169

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 X ͞Μ
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
   U E
   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౳͍͜͠ͱ͔ΒSU
    
    S EU
    w UΛܭࢉ͔ͯ͠ΒQˠQͷ୯ҐϕΫτϧΛ
 ௕͞U͚ͩ৳͹ͯ͠Rͷ࠲ඪΛಘΔ
    w Rͱ$ɺ͓ΑͼRͱ$ʹ͍ͭͯUBOHFOU$1Λܭࢉ͢Δ
13. ײ૝ w ηϯλʔࢼݧྗ͕େࣄͩͱࢥ͍·ͨ͠ʢখฒײʣ
    w Ջ͕Ͱ͖ͨΒଓ͖Λ࡞Δ͔΋