円と円の外接線の求め方

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

Transcript

1. ԁͱԁͷ֎઀ઢ
   !TIPSB@LVKJSB
   

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

   ʢݱࡏͲ͜Ͱμ΢ϯϩʔυͰ͖Δͷ͔ෆ໌ʣ
   w X͞Μ
   

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3. ֎઀ઢ
   

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4. ಺઀ઢ
   

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5. ໿ଋࣄ
   Q
   Q
   S
   S
   $
   $
   

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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
   

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7. S㱠Sͷ৔߹
   R
   

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8. S㱠Sͷ৔߹
   R
   S
   S
   U
   E
   θ
   

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9. ઀ઢ U S
   ͔ΒͳΔ௚֯ࡾ֯ܗͱ

   ઀ઢ UE S
   ͔ΒͳΔ௚֯ࡾ֯ܗʹ͓͍ͯ

   ֯ВΛڞ༗͍ͯ͠ΔͷͰTJOВ͕౳͘͠ͳΔ
   r1
   t
   =
   r2
   t + d
   t =
   r1d
   r2
   r1
   

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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
    

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11. 2఺R͕$ଆͰ͸ͳ͘$ଆʹ͋Δ৔߹͸ʁ
    "͏·͍͔͘ͳ͍Α͏ͳؾ͕͢Δ͕ɺ

    ಋग़ͯ͠ΈΔͱಉࣜ͡Ͱ఺QͷҐஔΛද͢͜ͱ͕Ͱ͖
    Δ͜ͱ͕෼͔Δ
    

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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
    

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

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