ࢩ࣮ࣗࢬࡢ᭷↓ࡀ⑌㉮ࣇ࢛࣮࣒࡟୚࠼ࡿᙳ㡪The influence of whether to put on shoes or not on the running form           ኴ⏣ ᯝᑑ㸨㸪ᒣ⬥ ᜤ஧㸨㸨㸨ᮏᕢᕷᙺᡤ㸨㸨ᒱ㜧኱Ꮫ  Kazu Ota㸨, Kyoji Yamawaki㸨㸨        㸨Motosu City Hall staff            㸨㸨

Faculty of Education, Gifu University                        Abstract
The purpose of this study was to clarify the influence of running shoes, spike shoes, and bare feeton the running form. The subjects of this study were 17 track and field athletes in G University.
They attempted 50 m races from the standing position using running shoes, spike shoes, andbare feet. Their running movements were filmed with a high-speed video camera, and the videos
were analyzed with motion analysis software.
The following results were obtained: the running forms using running shoes and spike shoes
were the same movements. However, the running forms using bare feet and spike shoes had
different moving distances when the left and right feet contacted the ground; so, it was consideredthat the running form using bare feet was a different movement from the running forms using
running shoes and spike shoes.
Moreover, in analyzing the characteristics of the running forms, the running movement using
running shoes and spike shoes was the same, in which the body axis tilts forwards, but for therunning movement with bare feet, the body axis was carried forward without tilting.
Finally, from the viewpoint of training, barefoot running was considered to be effective in its
movement motion because of the smooth movement of the body axis.
࣮࣮࢟࣡ࢻ㸦key words㸧㸸࢔ࢵࣉࢩ࣮ࣗࢬ㸦running shoes㸧㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸦spike shoes㸧㸪〄㊊㸦barefoot㸧㸪⑌㉮ࣇ࢓࣮࣒㸦running from㸧㸪ືసศᯒ㸦motion analysis㸧Ϩ㸬⥴ゝ㛗ࡸࣆࢵࢳ࡟ᕪ␗ࡀ࠶ࡿࡇ࡜ࡀศ࠿ࡗ࡚࠸ࡿ 㸧㸬㏆ᖺ㸪ᕫࡢ⫗యࡦ࡜ࡘ࡛຾㈇ࢆࡍࡿ㝣ୖ➇ᢏ୍᪉㸪㉮ࡿẸ᪘ࡢࢱ࣐ࣛ࢘᪘ࢆྲྀࡾᣲࡆࡓࠗ%251㑅ᡭ࡟࡜ࡗ࡚ࢩ࣮ࣗࢬࡢ╔⏝ࡣᙜࡓࡾ๓࡜ࡉࢀ

72 581࡛࠘ࡣ㸪〄㊊ࡣ㊊⿬ࡢ࢔࣮ࢳ࡜࢔࢟ࣞࢫ

࡚࠸ࡿ㸬࣮ࣞࢫ࡛ࡣࢫࣃ࢖ࢡࣆࣥࡢࡘ࠸ࡓࢫࣃ⭝ࡢ⾪ᧁ྾཰ࡸ⾪ᧁศᩓࢆࡉࡏࡿࡇ࡜ࡀ࡛ࡁ㸪࢖ࢡࢩ࣮ࣗࢬࢆ㸬࢛࣮࣑࢘ࣥࢢ࢔ࢵࣉࡸ࢘࢖ࣥ

㊊ࡢ᛹ᡃண㜵࡜࡞ࡿྍ⬟ᛶࡀ࠶ࡿ࡜㏙࡭࡚࠾ࡾࢻࢫࣉࣜࣥࢺ࡟ࡣ⾪ᧁ྾཰ᛶࡢ࠶ࡿ࢔ࢵࣉࢩࣗ㸧࣮ࢬࡢ╔⏝ࡀ㏻ᖖ࡜࡞ࡗ࡚࠸ࡿ㸬࢔ࢵࣉࢩ࣮ࣗ

࠺࡟࡞ࡗࡓ 㸧㸧㸧㸧㸬㸪᪥ᮏ࡛ࡶ〄㊊࡛ࡢࣛࣥࢽࣥࢢࡀὀ┠ࡉࢀࡿࡼࢬ࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ╔⏝᫬ࡢ⑌㉮ࣇ࢛࣮࣒࡟ࡑࡇ࡛ᮏ◊✲ࡣ㸪* ኱Ꮫࡢ㝣ୖ➇ᢏ㑅ᡭࢆᑐ㇟ࡣ㸪ࢩ࣮ࣗࢬࡢᵓ㐀ୖࡢ≉ᛶ࡟ࡼࡾࢫࢺࣛ࢖ࢻ

࡟࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬཬࡧ〄㊊

࡛ࡢ⑌㉮ࣇ࢛࣮࣒࡟࡝ࡢࡼ࠺࡞≉ᚩࡸ┦㐪ࡀ࠶㸦⫪㸪⭜㸪኱㌿Ꮚ㸪⭸㸪㋈㸪∎ඛ㸧タᐃ㸦ᅗࡿࡢ࠿ࢆ᳨ウࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡋࡓ㸬㸧ࡋࡓ㸬ϩ㸬᪉ἲ ⿕㦂⪅⿕㦂⪅ࡣ * ኱Ꮫ㝣ୖ➇ᢏ㒊࡟ᡤᒓࡍࡿ㑅ᡭ ྡ࡛࠶ࡿ㸬⾲  ࡟඲⿕㦂⪅ࡢࣉࣟࣇ࢕࣮ࣝࢆ♧ࡋࡓ㸬࡞࠾㸪ᐇ㦂༠ຊࡢྠពཬࡧᢎㅙ࡜෗┿ࡢᥖ㍕࡟㝿ࡋ஢ゎࢆᚓࡓࠋ
⾲  ⿕㦂⪅ࡢࣉࣟࣇ࢕࣮ࣝ           Q ᖺ㱋 \HDUV  s 

㌟㛗 FP s య㔜 NJ  s ᅗ  ㌟య࣏࢖ࣥࢺ ศᯒ㡯┠࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬཬࡧ〄 ᧜ᙳ᪉ἲ㊊࡛ࡢ⑌㉮ࣇ࢛࣮࣒ࡣ㸪࡝ࡢࡼ࠺࡞≉ᚩࡸ┦ ⿕㦂⪅࡟ࡣࢫࢱࣥࢹ࢕ࣥࢢࢫࢱ࣮㺢࠿ࡽࡢ 㐪ࡀ࠶ࡿࡢ࠿㸪௨ୗࡢ㡯┠࡛ศᯒࡋࡓ㸬㹫㉮ࡢࢱ࢖࣒ࢺࣛ࢖࢔ࣝࢆ㸪࢔ࢵࣉࢩ࣮ࣗࢬ㸪ձ㹫㉮ࡢࢱ࢖࣒ ⛊ ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊࡛ྛ  ᮏࡎࡘᐇ᪋ࡋ࡚

ղ᥋ᆅ᫬㛫 ⛊ ࡶࡽࡗࡓ㸬 ᥋ᆅࡢ▐㛫࠿ࡽ㞳ᆅࡢ▐㛫ࡲ࡛ࡢ᫬㛫 ᅗ  ᧜ᙳ᪥ࡣᖹᡂ  ᖺ  ᭶  ᪥㹼 ᭶  ᪥࡛࠶ࡗࡓ㸬᧜ᙳሙᡤࡣ㸪ᒱ㜧኱Ꮫ㝣ୖ➇ᢏሙ࡟ ࡜ࡋࡓ㸬࡚⾜ࡗࡓ㸬 ࣓࢝ࣛࡣ &$6,2 ♫〇ࠕ+,*+63(('(;/,0(;)+ࠖࢆ౑⏝ࡋࡓ㸬࣓࢝ࣛࡢࢥ࣐ᩘࡣ  ࢥ࣐V ࡟タᐃࡋ㸪ࣁ࢖ࢫࣆ࣮ࢻື⏬ࢆ᧜ᙳࡋࡓ㸬᧜ᙳ࡛ࡣ㸪ࢺࢵࣉࢫࣆ࣮ࢻࡀฟࡿ࡜ࡉࢀࡿ㹫aP ௜㏆ࡢ㉮ࡾࢆᶓ᪉ྥ  ࣨᡤ࠿ࡽ᧜ᙳࡋࡓ㸬᪤▱ࡢ࢟ࣕࣜࣈ࣮ࣞࢩࣙࣥ㸦FP㸧ࢆ᧜᥋ᆅ㻌㞳ᆅᙳࡋ㸪㹫༊㛫ࡢ㏿ᗘࡸࢫࢺࣛ࢖ࢻ࡞࡝ࢆィᅗ  ᥋ᆅ᫬㛫ࡍࡿࡓࡵ࡟฼⏝ࡋࡓ㸬      㞳ᆅࡢ▐㛫ࡢ∎ඛ࠿ࡽḟࡢ᥋ᆅࡢ▐㛫ࡢ㋖ࡲ ࡛ࡢ㊥㞳 ᅗ  ࡜ࡋࡓ㸬ᅗ  ᧜ᙳ᪉ἲ ࢹ࣮ࢱฎ⌮ ศᯒࢯࣇࢺ ືసศᯒᨭ᥼ࢩࢫࢸ࣒ 27/'= ࢜ࢡࢱࣝ♫〇 ࢆ౑⏝ࡋ㸪㌟య࡟࣏࢖ࣥࢺࢆ  Ⅼձ㹫㹼㹫㛫ࡢࢫࢺࣛ࢖ࢻ FP ձ᥋ᆅ᫬ࡢ⛣ື㊥㞳 FP 
᥋ᆅ㊊ࡢ∎ඛ࡜⪥ࢆ㏻ࡿ┤⥺ࢆ᥋ᆅࡢ▐㛫 %D ࡜㞳ᆅࡢ▐㛫 %E ࡢ  ᮏᘬࡁ㸪᥋ᆅ
㊊ࢆᨭⅬࡋࡓ࡜ࡁࡢ㢌ࡢ⛣ື㊥㞳 ⪥ࡢ㧗ࡉ ࢆ᥋ᆅ᫬ࡢ⛣ື㊥㞳 ᅗ  ࡜ࡋࡓ㸬‫ۑۑ‬cm

Bb‫ۑۑ‬cm

BaBᅗ  ࢫࢺࣛ࢖ࢻ
 ձయ㍈ࡢ᣺ࢀᖜ  ᨭᣢᮇ࡟࠾࠸࡚㸪య㍈ࡀ㋖ࡢ┿ୖ௜㏆࡟ࡁࡓ▐㛫ࡢ㋖࠿ࡽᆶ⥺ $ ࢆᘬࡁ㸪኱㌿Ꮚࢆ㏻ࡾ⮌㒊ࡲ࡛ࡢ㛗ࡉ $D FP ࢆ⭜ࡢ㛗ࡉ࡜ࡋ㸪⪥ࢆ

㏻ࡾ㢦ࡲ࡛ࡢ㛗ࡉ $E FP ࢆ㢌ࡢ㛗ࡉ࡜ࡋ࡚㸪ᅗ  ᥋ᆅ᫬ࡢ⛣ື㊥㞳ࡇࢀࡽࡢྜィࢆ㌟㛗 FP ࡟ᑐࡋ࡚ࡢ๭ྜ࡛♧ ⤫ィฎ⌮ࡋࡓ ᅗ  㸬㡯┠ձ㹼յࡢ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃ࢖ࢡࢩࣗ
࣮ࢬཬࡧ〄㊊ࡢẚ㍑࡟ࣇ࣮ࣜࢻ᳨࣐ࣥᐃࢆ⾜Ab࠸㸪ከ㔜ẚ㍑᳨ᐃ 6FKHIIH ἲࢆ⏝࠸࡚ẚ㍑ࢆ⾜ࡗࡓ㸬㡯┠նࡣࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡜〄㊊᳨࡛ウ(A)ࡋ㸪࢘࢕ࣝࢥࢡࢯࣥࡢ➢ྕ㡰఩࿴᳨ᐃࢆ⾜ࡗAaࡓ㸬⤫ィ࡟ࡣ࢚ࢡࢭࣝ⤫ィ  ࢆ⏝࠸㸪᭷ពỈ‽ࡣ࠸ࡎࢀࡶ 㸣ᮍ‶࡜ࡋࡓ㸬Ϫ㸬⤖ᯝ࡜⪃ᐹᮏ◊✲ࡣࢩ࣮ࣗࢬࡢ᭷↓ࡀ⑌㉮ࣇ࢛࣮࣒࡟୚ᅗ  య㍈ࡢ᣺ࢀᖜ

࠼ࡿᙳ㡪ࢆ᳨ウࡍࡿࡶࡢ࡛࠶ࡾ㸪࢔ࢵࣉࢩ࣮ࣗ

ࢬ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࠾ࡼࡧ〄㊊ࡢྛ㡯┠࡟࠾ࡅࡿഴྥࢆࡳࡿࡓࡵ㸪⏨ዪࡢ༊ูࡣ⾜ࢃࡎ㸪඲ ձ㊊㛵⠇ゅᗘ r ᨭᣢᮇ࡟࠾࠸࡚㸪ᨭᣢ⬮ࡢ∎ඛ㋈⭸ࢆ⿕㦂⪅࠿ࡽᚓࡽࢀࡓᩘ್ࡢᖹᆒ್࡜ᶆ‽೫ᕪࢆ⟬ฟࡋࡓ㸬ձ㹫㉮ࡢࢱ࢖࣒㸪ղ᥋ᆅ᫬㛫㸪ճ⤖ࡪෆゅ ᅗ  ࡜ࡋࡓ㸬㹫㹼㹫㛫ࡢࢫࢺࣛ࢖ࢻ㸪մయ㍈ࡢ᣺ࢀᖜ㸪յ㊊㛵⠇ゅᗘ࠾ࡼࡧն᥋ᆅ᫬ࡢ⛣ື㊥㞳ࡢ⤖ᯝࡼࡾ⪃ᐹࢆ㐍ࡵࡿ㸬࡞࠾ࢢࣛࣇࡢᶓ㍈࡛ࡣ㸪࢔ࢵࣉࢩ࣮ࣗࢬࢆ
㸦$6 ࡜㸧㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࢆ
㸦66࡜㸧㸪〄㊊ࢆ㸦+ ࡜㸧⾲グࡍࡿ㸬ձ 㹫㉮ࡢࢱ࢖࣒ᅗ  ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊ࡢ 㹫㉮ࡢࢱ࢖࣒㸦ᖹᆒ್࡜ᶆ‽೫ᕪ㸧ࢆᅗ  ㊊㛵⠇ゅᗘ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬㹫㉮ࡢࢱ࢖࣒ࡣ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ s ⛊㸪
〄㊊ࡣ s⛊㸪࢔ࢵࣉࢩ࣮ࣗࢬࡣ s ⛊࡛࠶ࡾ㸪ࢬ࡟ࡣ᭷ព࡞ᕪࡀࡳࡽࢀࡓ S 㸬ࡇࡢ㡰࡛ࢱ࢖࣒ࡀ㏿ࡃ㸪ࡇࡢ  ࡘࢆከ㔜ẚ㍑᳨

ࡇࡢࡇ࡜࠿ࡽ㸪᥋ᆅ᫬㛫࡟࠾࠸࡚ࡣ࢔ࢵࣉࢩᐃࡋࡓ⤖ᯝ㸪࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫࣃ࢖ࢡࢩ࣮࣮ࣗࣗࢬ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊ࡢ≉ᚩࡀ⾲ࢀࢬ㸪〄㊊࡜࢔ࢵࣉࢩ࣮ࣗࢬ࡟ࡣ᭷ព࡞ᕪࡣࡳࡽ

࡚࠸ࡿ࡜⪃࠼ࡽࢀ㸪ࢩ࣮ࣗࢬࡢ᭷↓ࡀ᥋ᆅ᫬㛫ࢀ࡞࠿ࡗࡓࡀ㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡟ࡣ᭷

࡟ᙳ㡪ࢆཬࡰࡋ࡚࠸ࡿ࡜⪃࠼ࡽࢀࡿ㸬 ព࡞ᕪࡀࡳࡽࢀࡓ㸦S㸧㸬ࡇࡢࡇ࡜࠿ࡽ㸪≉࡟ࣆࣥࡢᘬࡗ࠿࠿ࡿࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡛ࡣ㸪ࢱ㸨㸨࢖࣒ࡢ▷⦰࡟୚࠼ࡓᙳ㡪ࡣ኱ࡁ࠸࡜⪃࠼ࡽࢀࡿ㸬㸨ᅗ  ྑ㊊ࡢ᥋ᆅ᫬㛫㸨㸨ᅗ  㹫㉮ࡢࢱ࢖࣒ղ ᥋ᆅ᫬㛫ᅗ  ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊ࡢྑ㊊ࡢ᥋ᆅ᫬㛫㸦ᖹᆒ್࡜ᶆ‽೫ᕪ㸧ࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬ྑ㊊ࡢ᥋ᆅ᫬㛫࡛ࡣ㸪〄㊊
ࡣ s ⛊㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ s ⛊㸪࢔ࢵࣉࢩ࣮ࣗࢬࡣ s ⛊࡛࠶ࡾ㸪ࡇࡢ㡰࡛᥋ᆅ᫬㛫ࡣ▷ࡃ㸪ࡇࡢ  ࡘࢆከ㔜ẚ㍑᳨ᐃࡋࡓ⤖ᯝ㸪࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡟ࡣ᭷ᅗ  ᕥ㊊ࡢ᥋ᆅ᫬㛫ព࡞ᕪࡣࡳࡽࢀ࡞࠿ࡗࡓࡀ㸪〄㊊࡜࢔ࢵࣉࢩࣗ

࣮ࢬ࡟ࡣ᭷ព࡞ᕪࡀࡳࡽࢀࡓ S 㸬ࡲࡓᅗճ 㹫㹼㹫㛫ࡢࢫࢺࣛ࢖ࢻ ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊

ᅗ  ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪ࡢᕥ㊊ࡢ᥋ᆅ᫬㛫㸦ᖹᆒ್࡜ᶆ‽೫ᕪ㸧ࢆ♧ࡋ

〄㊊ࡢྑ㊊ࡢ 㹫㹼㹫㛫ࡢࢫࢺࣛ࢖ࢻ㸦ᖹᆒࡓࡶࡢ࡛࠶ࡿ㸬ᕥ㊊ࡢ᥋ᆅ᫬㛫࡛ࡣ㸪〄㊊ࡣ್࡜ᶆ‽೫ᕪ㸧ࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬ྑ㊊ࡢ s ⛊㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ s㹫㹼㹫㛫ࡢࢫࢺࣛ࢖ࢻ࡛ࡣ㸪〄㊊ࡣ s ⛊㸪࢔ࢵࣉࢩ࣮ࣗࢬࡣ s ⛊࡛FP㸪࢔ࢵࣉࢩ࣮ࣗࢬࡣ sFP㸪࠶ࡾ㸪ࡇࡢ㡰࡛᥋ᆅ᫬㛫ࡣ▷ࡃ㸪ࡇࡢ  ࡘࢆከࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ sFP ࡛࠶ࡾ㸪㔜ẚ㍑᳨ᐃࡋࡓ⤖ᯝ㸪࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫࣃ࢖ࡇࡢ㡰࡛ࢫࢺࣛ࢖ࢻࡣ▷ࡃ㸪ࡇࡢ  ࡘࢆከ㔜ẚࢡࢩ࣮ࣗࢬ㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡟ࡣ᭷ព

㍑᳨ᐃࡋࡓ⤖ᯝ㸪࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫࣃ࢖ࢡࢩ࡞ᕪࡣࡳࡽࢀ࡞࠿ࡗࡓࡀ㸪〄㊊࡜࢔ࢵࣉࢩ࣮ࣗ

࣮ࣗࢬ㸪〄㊊࡜࢔ࢵࣉࢩ࣮ࣗࢬ࡟ࡣ᭷ព࡞ᕪࡣ

ࡳࡽࢀ࡞࠿ࡗࡓࡀ㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡟
ࡣ᭷ព࡞ᕪࡀࡳࡽࢀࡓ㸦S㸧㸬ࡲࡓᅗ  ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊ࡢᕥ
㊊ࡢ 㹫㹼㹫㛫ࡢࢫࢺࣛ࢖ࢻ㸦ᖹᆒ್࡜ᶆ‽೫ᕪ㸧ࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬ᕥ㊊ࡢ 㹫㹼㹫մ య㍈ࡢ᣺ࢀᖜ㸦㢌⭜㌟㛗㸧ᅗ  ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊ࡢྑ㊊ࡢయ㍈ࡢ᣺ࢀᖜ㸦ᖹᆒ್࡜ᶆ‽೫ᕪ㸧ࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬ྑ㊊ࡢయ㍈ࡢ᣺ࢀ㛫ࡢࢫࢺࣛ࢖ࢻ࡛ࡣ㸪〄㊊ࡣ sFP㸪ᖜ࡛ࡣ㸪〄㊊ࡣ s㸪࢔ࢵࣉࢩ࣮ࣗ

࢔ࢵࣉࢩ࣮ࣗࢬࡣ sFP㸪ࢫࣃ࢖ࢡࢩࢬࡣ s㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ ࣮ࣗࢬ sFP ࡛࠶ࡾ㸪ࡇࡢ㡰࡛ࢫࢺs࡛࠶ࡾ㸪ࡇࡢ㡰࡛᣺ࢀᖜࡀᑠࡉࡃ㸪ࡇࣛ࢖ࢻࡣ▷ࡃ㸪ࡇࡢ  ࡘࢆከ㔜ẚ㍑᳨ᐃࡋࡓ⤖ࡢ  ࡘࢆከ㔜ẚ㍑᳨ᐃࡋࡓ⤖ᯝ㸪࢔ࢵࣉࢩ࣮ࣗ

ᯝ㸪࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊ࢬ࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊࡜࢔ࢵࣉࢩ࣮ࣗࢬ

࡜࢔ࢵࣉࢩ࣮ࣗࢬ࡟ࡣ᭷ព࡞ᕪࡣࡳࡽࢀ࡞࠿ࡗࡓࡀ㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡟ࡣ᭷ព࡞ᕪࡀ
ࡳࡽࢀࡓ㸦S㸧㸬࡟ࡣ᭷ព࡞ᕪࡀࡳࡽࢀ࡞࠿ࡗࡓࡀ㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡟ࡣ᭷ព࡞ᕪࡀࡳࡽࢀࡓࡇࡢࡇ࡜࠿ࡽ㸪〄㊊ࡀ␗࡞ࡾࢩ࣮ࣗࢬࡢ᭷↓S 㸬ࡲࡓᅗ  ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃࡀ 㹫㹼㹫㛫ࡢࢫࢺࣛ࢖ࢻ࡟ᙳ㡪ࢆཬࡰࡋ࡚࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊ࡢᕥ㊊ࡢయ㍈ࡢ᣺ࢀᖜ㸦ᖹ࠸ࡿ࡜⪃࠼ࡽࢀࡿ㸬ᆒ್࡜ᶆ‽೫ᕪ㸧ࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬ᕥ㊊ࡢయ㍈ࡢ᣺ࢀᖜ࡛ࡣ㸪〄㊊ࡣ s㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ s㸪࢔ࢵࣉࢩࣗ㸨࣮ࢬࡣ s࡛࠶ࡾ㸪ࡇࡢ㡰࡛᣺ࢀᖜࡀᑠࡉࡃ㸪ࡇࡢ  ࡘࢆከ㔜ẚ㍑᳨ᐃࡋࡓ⤖ᯝ㸪࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡟ࡣ᭷ព࡞
ᕪࡣࡳࡽࢀ࡞࠿ࡗࡓࡀ㸪〄㊊࡜࢔ࢵࣉࢩ࣮ࣗࢬ
㸦S㸧㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ
㸦S㸧࡟ࡣ᭷ព࡞ᕪࡀࡳࡽࢀࡓ㸬ࡇࡢࡇ࡜࠿ࡽ㸪〄㊊ࡢయ㍈ࡢ᣺ࢀᖜࡀ㸰ࡘࡢࢩ࣮ࣗࢬ࡜ẚ࡭࡚ᑠࡉ࠸ࡇ࡜࠿ࡽ㸪యࡀ࠶ࡲࡾᅗ  ྑ㊊ࡢ 㹫㹼㹫㛫ࡢࢫࢺࣛ࢖ࢻࡪࢀ࡞࠸⑌㉮ࣇ࢛࣮࣒ࢆ⾜ࡗ࡚࠸ࡿ࡜⪃࠼ࡽࢀࡿ㸬ࡲࡓᅗ  ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃ࢖ࢡࢩ
࣮ࣗࢬ㸪〄㊊ࡢྑ㊊᥋ᆅ᫬࡟య㍈ࡀ㋖ࡢ┿ୖ௜㏆࡟ࡁࡓ࡜ࡁࡢືࡁࡢ┦㐪ࢆ౛♧ࡋࡓࡶࡢ࡛࠶

㸨㸨ࡿ㸬ࡇࡢᅗ࡟♧ࡍࡼ࠺࡟〄㊊ࡣᨭᣢ⬮࡟ࡋࡗ࠿ࡾ࡜యࢆ஌ࡏࡽࢀ࡚࠸ࡿࡀࠊ㸰ࡘࡢࢩ࣮ࣗࢬࡣࡸࡸ⭜ࡢ఩⨨ࡀ๓ᚋࡍࡿࡀྠࡌࡼ࠺࡞ጼໃࢆࡋ࡚࠾ࡾ㸪ࢩ࣮ࣗࢬࡢ᭷↓ࡀయ㍈ࡢ᣺ࢀᖜ࡟ᙳ㡪ࢆཬࡰࡋ࡚࠸ࡿ࡜⪃࠼ࡽࢀࡿ㸬  ᅗ  ᕥ㊊ࡢ 㹫㹼㹫㛫ࡢࢫࢺࣛ࢖ࢻࡘࢆከ㔜ẚ㍑᳨ᐃࡋࡓ⤖ᯝ㸪࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡟

㸨㸨ࡣ᭷ព࡞ᕪࡀࡳࡽࢀ࡞࠿ࡗࡓࡀ㸪〄㊊࡜࢔ࢵࣉࢩ࣮ࣗࢬ࡟ࡣ᭷ព࡞ᕪࡀࡳࡽࢀࡓ S 㸬ࡲࡓᅗ  ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊ࡢᕥ㊊ࡢ㊊㛵⠇ゅᗘ㸦ᖹᆒ್࡜ᶆ‽೫ᕪ㸧ࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬ᕥ㊊ࡢ㊊㛵⠇ゅᗘ࡛ࡣ㸪〄㊊ࡣ sr㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ sr㸪࢔ࢵࣉࢩ࣮ࣗࢬࡣ sr࡛࠶ࡾ㸪ࡇࡢ㡰࡛ゅᗘࡣᑠࡉࡃ㸪ࡇࡢ ࡘࢆከ㔜ẚ㍑᳨ᐃࡋࡓ⤖ᯝ㸪࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡟ᅗ  ྑ㊊ࡢయ㍈ࡢ᣺ࢀᖜ

ࡣ᭷ព࡞ᕪࡀࡳࡽࢀ࡞࠿ࡗࡓࡀ㸪〄㊊࡜࢔ࢵࣉࢩ࣮ࣗࢬ࡟ࡣ᭷ព࡞ᕪࡀࡳࡽࢀࡓ S 㸬ࡇࡢࡇ࡜࠿ࡽ㸪㊊㛵⠇ゅᗘ࡟࠾࠸࡚ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊ࡢ≉ᚩࡀ⾲ࢀ㸨㸨࡚࠸ࡿ࡜⪃࠼ࡽࢀ㸪ࢩ࣮ࣗࢬࡢ᭷↓ࡀ㊊㛵⠇ゅ㸨ᗘ࡟ᙳ㡪ࢆཬࡰࡋ࡚࠸ࡿ࡜⪃࠼ࡽࢀࡿ㸬㸨㸨ᅗ  ᕥ㊊ࡢయ㍈ࡢ᣺ࢀᖜᅗ  ྑ㊊ࡢ㊊㛵⠇ゅᗘ㸨ᅗ  య㍈ࡀ㋖ࡢ┿ୖ௜㏆࡟࠶ࡿ᫬ࡢጼໃ࡜㋖࠿ࡽࡢᆶ⥺յ ㊊㛵⠇ゅᗘ㸦∎ඛ㋈⭸ࢆ⤖ࡪෆゅ㸧ᅗ  ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗ
ࢬ㸪〄㊊ࡢྑ㊊ࡢ㊊㛵⠇ゅᗘ㸦ᖹᆒ್࡜ᶆ‽೫ᕪ㸧ࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬ྑ㊊ࡢ㊊㛵⠇ゅᗘ࡛ࡣ㸪〄㊊ࡣ sr㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣsr㸪࢔ࢵࣉࢩ࣮ࣗࢬࡣ sr࡛࠶ࡾ㸪ࡇࡢ㡰࡛ゅᗘࡣᑠࡉࡃ㸪ࡇࡢ ᅗ  ᕥ㊊ࡢ㊊㛵⠇ゅᗘն ᥋ᆅ᫬ࡢ⛣ື㊥㞳ᅗ  ࡣࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊ࡢྑ㊊᥋ᆅ㸨㸨᫬ࡢ⛣ື㊥㞳㸦ᖹᆒ್࡜ᶆ‽೫ᕪ㸧ࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬ྑ㊊᥋ᆅ᫬ࡢ⛣ື㊥㞳࡛ࡣ㸪〄㊊ࡣ
sFP㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ sFP ࡛࠶ࡾ㸪࢘࢕ࣝࢥࢡࢯࣥࡢ➢ྕ㡰఩࿴᳨ᐃࢆࡋࡓ⤖ᯝ㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡟ࡣ
᭷ព࡞ᕪࡀࡳࡽࢀࡓ S 㸬ࡲࡓᅗ  ࡣࢫࣃ࢖ࢡࢩ࣮ࣗࢬ㸪〄㊊ࡢᕥ㊊᥋ᆅ᫬ࡢ⛣ື㊥㞳㸦ᖹᆒ್࡜ᶆ‽೫ᕪ㸧ࢆ♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬ᕥ㊊᥋ᆅ᫬ࡢ⛣ື㊥㞳࡛ࡣ㸪〄㊊ࡣ sFP㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ sFPᅗ  ᕥ㊊᥋ᆅ᫬ࡢ⛣ື㊥㞳࡛࠶ࡾ㸪࢘࢕ࣝࢥࢡࢯࣥࡢ➢ྕ㡰఩࿴᳨ᐃࢆࡋࡓ⤖ᯝ㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡟ࡣ᭷ព࡞ᕪ
ࡀࡳࡽࢀࡓ S 㸬ࡇࡢࡇ࡜࠿ࡽ㸪〄㊊࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡢ⑌
㉮ࣇ࢛࣮࣒ࡣ␗࡞ࡿືࡁࢆ⾜ࡗ࡚࠸ࡿ࡜⪃࠼ࡽࢀࡿ㸬ࡲࡓᅗ  ࡣ㸪ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡜〄㊊ࡢ
ྑ㊊᥋ᆅ᫬ࡢ⛣ື㊥㞳ࡢ┦㐪ࢆ౛♧ࡋࡓࡶࡢ࡛࠶ࡿ㸬ࡇࡢᅗ࡟♧ࡍࡼ࠺࡟⛣ື㊥㞳ࡀ␗࡞ࡗ࡚ ᅗ  ࢫࣃ࢖ࢡࢩ࣮ࣗࢬ࡜〄㊊ࡢ᥋ᆅ᫬ࡢ⛣ື㊥㞳࠾ࡾ㸪ࢩ࣮ࣗࢬࡢ᭷↓ࡀ⑌㉮ࣇ࢛࣮࣒࡟୚࠼ࡿᙳ㡪ࢆ▱ࡿࡇ࡜ࡀ࡛ࡁࡓࠋϫ㸬ࡲ࡜ࡵ ᮏ◊✲ࡣ㸪* ኱Ꮫࡢ㝣ୖ➇ᢏ㒊ࡢ㑅ᡭࢆᑐ㇟࡟㸪ࢩ࣮ࣗࢬࡢ᭷↓ࡀ⑌㉮ࣇ࢛࣮࣒୚࠼ࡿᙳ㡪㸨㸨ࢆ᳨ウࡋ㸪௨ୗࡢࡼ࠺࡞ࡇ࡜ࡀ᫂ࡽ࠿࡜࡞ࡗࡓ㸬ձ ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ〄㊊ࡼࡾ㹫㉮ࡢࢱ࢖࣒ࡀ᭷ព࡟▷ࡃ࡞ࡿࡇ࡜ࡀࢃ࠿ࡗࡓ㸬ղ 〄㊊ࡣ࢔ࢵࣉࢩ࣮ࣗࢬࡼࡾ᥋ᆅ᫬㛫ࡀ᭷ព࡟▷ࡃ࡞ࡿࡇ࡜ࡀࢃ࠿ࡗࡓ㸬ճ ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ〄㊊ࡼࡾ㹫㹼㹫㛫ࡢࢫࢺࣛ࢖ࢻࡀ᭷ព࡟㛗ࡃ࡞ࡿࡇ࡜ࡀࢃ࠿ࡗࡓ㸬ᅗ  ྑ㊊᥋ᆅ᫬ࡢ⛣ື㊥㞳մ 〄㊊ࡣ࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫࣃ࢖ࢡࢩ࣮ࣗ
ࢬࡼࡾ㸪ᨭᣢᮇ࡟࠾ࡅࡿయ㍈ࡢ᣺ࢀᖜࡣ
᭷ព࡟ᑠࡉࡃ࡞ࡿࡇ࡜ࡀࢃ࠿ࡗࡓ㸬յ 〄㊊ࡣ࢔ࢵࣉࢩ࣮ࣗࢬࡼࡾᨭᣢᮇ࡟࠾ࡅ
ࡿ㊊㛵⠇ࡢゅᗘ ∎ඛ㋈⭸ࢆ⤖ࡪෆゅࡀ᭷ព࡟ᑠࡉࡃ࡞ࡿࡇ࡜ࡀࢃ࠿ࡗࡓ㸬ն ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣ〄㊊ࡼࡾ㸪᥋ᆅ㊊ࢆ

ᨭⅬࡋࡓ࡜ࡁࡢ㢌ࡢ⛣ື㊥㞳ࡀ᭷ព࡟኱࠼⑌㉮ࣇ࢛࣮࣒ࡢ≉ᚩࢆୖࡆࡿ࡜㸪࢔ࢵࣉࢩࣗࡁࡃ࡞ࡿࡇ࡜ࡀࢃ࠿ࡗࡓ㸬࣮ࢬ࡜ࢫࣃ࢖ࢡࢩ࣮ࣗࢬࡣయ㍈ࡀഴࡄࡼ࠺࡞ື
ࡁ࡛๓࡬㐠ࡤࢀ࡚࠸ࡃࡼ࠺࡞⑌㉮ࣇ࢛࣮࣒࡜࠸ձ㹼յ㸪նࡼࡾ㸪௨ୗࡢࡇ࡜ࡀ♧၀ࡉࢀࡿ㸬ղ㸪ճ㸪մࠊյࡢ⪃ᐹ࠿ࡽ࢔ࢵࣉࢩ࣮ࣗࢬ࡜ࢫ

࠼ࡿࡢ࡟ᑐࡋ㸪〄㊊ࡣయ㍈ࡀഴࡄࡇ࡜࡞ࡃ๓࡬

ࣃ࢖ࢡࢩ࣮ࣗࢬࡢ⑌㉮ࣇ࢛࣮࣒ࡣྠࡌࡼ࠺࡞ື㐠ࡤࢀ࡚࠸ࡃࡼ࠺࡞⑌㉮ࣇ࢛࣮࣒࡛࠶ࡿ࡜࠸࠼

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