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円と円の外接線の求め方

 円と円の外接線の求め方

Sho Iizuka

June 14, 2014
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  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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