ᬟ៻ᅠഥ‒ જࢨᅠഥ ᢂපᅠഥ ᫩᫢ᅠഥ

࢔ ࢖ ࢘ ࢚

1

ၥ㸯㹼ၥ㸱ࡣᨺ㏦ࢆ⪺࠸࡚⟅࠼ࡿၥ㢟࡛ࡍࠋᨺ㏦ࢆࡼࡃ⪺࠸࡚ࠊḟࡢྛၥ࠸࡟

⟅࠼࡞ࡉ࠸ࠋᨺ㏦ࡣࡑࢀࡒࢀ㸰ᅇㄞࡲࢀࡲࡍࠋ

4

ၥ㸰 ࡇࢀ࠿ࡽࠊ୰Ꮫ⏕ࡢ࢔࢟࡜እᅜㄒᣦᑟຓᡭࡢࣅ࣮ࣜඛ⏕ࡢᑐヰࢆㄞࡳࡲࡍࠋᑐヰࡢෆ ᐜ࡟ࡘ࠸࡚㸦㸯㸧㹼㸦㸱㸧ࡢ㉁ၥ࡟ᑐࡍࡿ⟅࠼࡜ࡋ࡚᭱ࡶ㐺ࡍࡿࡶࡢࢆ࢔㹼࢚ࡢ୰

࠿ࡽ㸯ࡘࡎࡘ㑅ࡧࠊࡑࡢグྕࢆ⟅࠼࡞ࡉ࠸ࠋ

(1) What is Aki going to make a speech about?

࢔㸬About her pet.

࢖㸬About Mr. Billy’s class.

࢘㸬About her friends.

࢚㸬About music.

(2) Who will check Aki’s speech before the next class?

࢔㸬It is Aki’s friend.

࢖㸬Aki’s friend will.

࢘㸬It is Mr. Billy.

࢚㸬Mr. Billy will.

(3) ࢫࣆ࣮ࢳࢆࡍࡿ㝿ࠊఱࡀ኱ษࡔ࡜ࣅ࣮ࣜඛ⏕ࡣゝࡗ࡚࠸ࡲࡍ࠿ࠋ

࢔㸬┦ᡭࡢ┠ࢆぢ࡚ヰࡍࡇ࡜ࠋ

࢖㸬ཎ✏ࢆࡋࡗ࠿ࡾ⪃࠼࡚᭩ࡃࡇ࡜ࠋ

࢘㸬ᇽࠎ࡜ࡋࡓኌ࡛ヰࡍࡇ࡜

࢚㸬୍ே࡛㟼࠿࡟⦎⩦ࡍࡿࡇ࡜ࠋ

ၥ㸱 ⱥㄒ࢟ࣕࣥࣉ࡟ཧຍࡋ࡚࠸ࡿ⏤⨾Ꮚࡣࠊࢪࣙࣥࢯࣥඛ⏕ࡢㄝ᫂ࢆ⪺࠸࡚࣓ࣔࢆ

࡜ࡗ࡚࠸ࡲࡍࠋࡑࡢ࣓ࣔࡢ✵ḍ࡟㐺ࡍࡿ᫬้ࢆ᭩ࡁධࢀࠊ᏶ᡂࡉࡏ࡞ࡉ࠸ࠋ

.‒ଢଐ↝ʖܭ‒

‒

‒≋‒ ‒ 
‒ ‒ ‒≝‒ ‒ ‥•‒ ‒ ‒ ‒≌‒ ឪ࠿‒ ↌↝ࢸฌੈ‒

‒ ‒ ‒ ‚‣‛≋‒ ‒ ‒ ‒ ≝‒ ‒ ‒ ‒ ≌‒ ஔ᫢‒ ᫢ؘ↚ᨼӳ‒

‒ ‒ ‒ ‚․‛≋‒ ‒ ‒ ‒ ≝‒ ‒ ‒ ‒ ≌‒ ‧ဪ૙ܴ↚ᨼӳ‒ ᇿᚡဇφⅻ࣏ᙲ‒

‒ ‒ ‒ ‚‥‛≋‒ ‒ ‒ ‒ ≝‒ ‒ ‒ ‒ ≌‒ ଷ᫢‒ ᫢ؘ↚ᨼӳ‒ ‒ ‒

5 (1) The racket on the chair is ( ) .

࢔㸬her ࢖㸬him ࢘㸬your ࢚㸬mine (2) The woman ( ) is standing over there is Ms. Green

࢔㸬who ࢖㸬which ࢘㸬what ࢚㸬where (3) Do you know when he usually ( ) up in the morning?

࢔㸬get ࢖㸬getting ࢘㸬gotten ࢚㸬gets

(4) We ( ) to study English harder.

࢔㸬must ࢖㸬has ࢘㸬may ࢚㸬have (5) A: ( ) did you do yesterday?

B: I played baseball with my friends.

࢔㸬When ࢖㸬Where ࢘㸬What ࢚㸬Why

(1) Tom and I went fishing but we didn’t catch any fish.

= Tom and I went fishing but we caught ( ) fish.

(2) We are planning to go to Tokyo in the last month of the year.

= We are planning to go to Tokyo in ( ).

(3) Did your sister take these pictures?

= ( ) these pictures taken by your sister?

(4) Does your brother walk to school every day?

= Does your brother go to school ( ) foot every day?

2

ḟࡢ(1)㹼(5)ࡢᩥ୰ࡢ( )࡟ධࡿ᭱ࡶ㐺ษ࡞ㄒ(ྃ)ࢆࠊࡑࢀࡒࢀ ࢔㹼࢚ࡢ

࠺ࡕ1ࡘࡎࡘ㑅ࡧࠊグྕ࡛⟅࠼࡞ࡉ࠸ࠋ

3

^{ḟࡢ(1)㹼(4)}ࡢ㸰ࡘࡢᩥࡀ࡯ࡰྠࡌෆᐜ࡟࡞ࡿࡼ࠺࡟ࠊ( )࡟㐺ษ࡞ㄒࢆධࢀ

࡞ࡉ࠸ࠋ

6

(1) ⚾ࡢጜࡣࡕࡻ࠺࡝ࡑࡢᮏࢆㄞࡳ⤊࠼ࡓ࡜ࡇࢁ࡛ࡍࠋ

[ the book / finished / has / just / my sister / reading ].

(2) ࢺ࣒࡜㋀ࡗ࡚࠸ࡿ࠶ࡢዪࡢᏊࡣ࡜࡚ࡶᖾࡏࡑ࠺࡛ࡍࠋ

[ happy / dancing / girl / very / Tom / that / with / looks ] . (3) ⚾ࡓࡕࡀ఍ࡗࡓ⫼ࡢ㧗࠸⏨ࡢேࡣࠊࢺ࣒ࡢ࠾∗ࡉࢇ࡛ࡍࠋ

[ met / the / man / is / we / tall ] Tom’s father.

(4) ᙼዪࡣୡ⏺࡛ࡶ᭷ྡ࡞సᐙࡢ୍ே࡛ࡍࠋ

She is [ writers / the / one / famous / of / most ] in the world.

(5) ࡝ࡢࡼ࠺࡟ࡋ࡚ࠊࡑࡢᮏࢆᡭ࡟ධࢀࡓࡢ࠿ᩍ࠼࡚࠸ࡓࡔࡅࡲࡍ࡛ࡋࡻ࠺࠿ࠋ Please [ you / the book / tell / how / got / me ].

(1) in-for-ma-tion (2) com-put-er (3) en-joy 㺏 㺐 㺑 㺒 㺏 㺐 㺑 㺏 㺐

೺ኴ㸸 ⨾㤶ࠊձ ྩ࡟఍࠼࡚࠺ࢀࡋ࠸ࡼࠋ

⨾㤶㸸 ⚾ࡶࡼࠋ௒᪥ࡣᐮ࠸ࡅ࡝ࠊ㞷ࡀ㝆ࡾࡑ࠺ࡔࡼࡡࠋ

೺ኴ㸸 ࡑ࠺ࡔࡡࠋ௒ᗘ㞷ࡀࡘࡶࡗࡓࡽ㞄⏫ࡢ኱ࡁ࡞බᅬ࡛㞷ྜᡓࡋࡼ࠺ࡼࠋ

⨾㤶㸸 㞷ྜᡓࠊ࠸࠸ࢃࡡࠋ ղ ࡑࡢබᅬࡲ࡛ࡣࣂࢫ࡛࡝ࢀࡃࡽ࠸ࡢ᫬㛫ࡀ࠿࠿ࡿࡢࠋ

೺ኴ㸸 㸱㸮ศࡃࡽ࠸ࡔࡼࠋᴦࡋࡳࡔ࡞ࠋ

4

ḟࡢ(1)㹼(5)ࡢ᪥ᮏㄒ࡟࠶࠺ⱥᩥ࡟࡞ࡿࡼ࠺ࠊ[ ]ෆࡢㄒ(ྃ)ࢆ୪࡭࠿࠼ࠊⱥᩥࢆ

᏶ᡂࡉࡏ࡞ࡉ࠸ࠋ ࡓࡔࡋᩥ㢌ࡢㄒࡶᑠᩥᏐ࡟ࡋ࡚࠶ࡾࡲࡍࠋ

5

ḟࡢㄒࡢ᭱ࡶᙉࡃㄞࡲࢀࡿ㒊ศࡢグྕࢆ⟅࠼࡞ࡉ࠸ࠋ

6

ḟࡢᩥ❶୰ࡢୗ⥺㒊ձࠊղࢆⱥㄒ࡟࡞࠾ࡋ࡞ࡉ࠸ࠋ

7

One morning, Ken met Jack on his way to school.

Jack: Good morning, Ken.

Ken : Hi, Jack. How are you?

Jack: I’m fine, but I’m a little tired. ձI haven’t slept well since I came to Japan.

Ken : ( a ) Why?

Jack: It’s a little hard for me to sleep on a futon. Ken : Really? You should *ask for a bed.

Jack: No, I’ll be all right. I want to experience the Japanese way of life. I’m interested in Japanese culture.

Ken : Are you? Well, I’m going to go to a summer festival in my town next Saturday.

( b )

Jack: Sure. Can I bring my friend Ichiro? He’s in my class.

Ken : ( c ) I know him well. ղ( ࢔For example ࢖By the way ࢘ After all

࢚Because of ), have you ever *scooped goldfish with paper?

Jack: With paper? No, I haven’t.

Ken : Scooping goldfish is one of the *amusements in a Japanese festival. I think you’ll enjoy ճit.

Jack : Sounds interesting! ( d ) Ken : I’m happy to hear that. See you.

*ask for㹼 㹼ࢆ㢗ࡴ *scoop 㹼ࢆࡍࡃ࠸࡜ࡿ *amusement ᴦࡋࡳ

7

ḟࡢⱥᩥࡣ㧗ᰯ⏕ࡢ೺( Ken )࡜࣮࢜ࢫࢺࣛࣜ࢔࠿ࡽ᮶᪥ࡋ࡚㛫ࡶ࡞࠸␃Ꮫ⏕ࡢ ࢪࣕࢵࢡ( Jack )࡜ࡢᑐヰ࡛ࡍࠋࡇࢀࢆㄞࢇ࡛ࠊ࠶࡜ࡢྛၥ࠸࡟⟅࠼࡞ࡉ࠸ࠋ

8

ၥ㸯 ( a )㹼( d )࡟㐺ࡍࡿᩥࢆḟ࠿ࡽ㸯ࡘࡎࡘ㑅ࡧࠊグྕ࡛⟅࠼࡞ࡉ࠸ࠋ

࢔ How about eating it?

࢖ Of course, you can.

࢘ That’s not good.

࢚ What are you looking for?

࢜ Why don’t you come with me?

࢝ How long will you stay?

࢟ I really want to try.

ࢡ You’re welcome.

ၥ㸰 ୗ⥺㒊ձ࡛ࢪࣕࢵࢡࡣࡼࡃ╀ࢀ࡞࠸࡜ゝࡗ࡚࠸ࡲࡍࡀࠊࡑࢀࡣ࡞ࡐ࡛ࡍ࠿ࠋ᪥ᮏ ㄒ࡛ㄝ᫂ࡋ࡞ࡉ࠸ࠋ

ၥ㸱 ᩥ୰ղࡢ㸦 㸧ෆ࠿ࡽ㐺ࡍࡿࡶࡢࢆ㑅ࡧࠊグྕ࡛⟅࠼࡞ࡉ࠸ࠋ ၥ㸲 ୗ⥺㒊ճࡣఱࢆᣦࡋ࡚࠸ࡲࡍ࠿ࠋ᪥ᮏㄒ࡛⟅࠼࡞ࡉ࠸ࠋ

ၥ㸳 ḟࡢ(1)ࠊ(2)ࡢ㉁ၥ࡟㸱ㄒ௨ୖࡢⱥㄒ࡛⟅࠼࡞ࡉ࠸ࠋ (1) What is Ken going to do next Saturday?

(2) Is Jack interested in Japanese culture?

ၥ㸴 ᮏᩥ࡟ࡑࡗ࡚ࠊḟࡢ㸰ࡘࡢⱥᩥࡀ㉁ၥ࡜⟅࠼ࡢ㛵ಀ࡟࡞ࡿࡼ࠺࡟ࠊ㸦 A 㸧࡜

㸦 B 㸧࡟᭱ࡶ㐺ࡍࡿㄒࢆ࢔㹼࢚࠿ࡽ1ࡘࡎࡘ㑅ࡧࠊグྕ࡛⟅࠼࡞ࡉ࠸ࠋ

㉁ၥ㸸Why does Jack use a futon ( A ) he is in Japan?

⟅࠼㸸Because he wants to ( B ) Japanese culture better.

( A ) ࢔ which ࢖ what ࢘ how ࢚ while ( B ) ࢔ make ࢖ understand ࢘ write ࢚ read

9

Too Old for Trick-or-Treating

Kelly’s favorite holiday is Halloween. She loved pumpkin pie, *pumpkin spice latte, *dressing up, *scary movies, and trick-or-treating. ձThe sad thing, however, is that Kelly knows that she is too old for trick-or-treating. She is now 21 years old.

ղShe loved getting different kinds of candy for free.

This Halloween, Kelly was going to babysit her 10-year-old cousin Albert and his friends. Kelly dressed up as a pirate. Her cousin and his friends dressed as ghosts.

Albert and his friends made *Halloween themed cupcakes. Albert asked, “What should we do now, Kelly?” “Why don't you go trick-or-treating?” she suggested.

“ճI'm too scared to talk to strangers,” Albert said. “Don't worry, I will go with you!”

Kelly said.

All of them went to the house next door. They knocked on the door and said

“Trick-or-treat!” The couple smiled and gave the kids chocolate bars. Kelly wished they gave her one, but they didn’t. They went to the next house and the family there gave the kids *gummy worms. մThe last house they went to was interesting.

The couple there gave the kids money! Kelly *definitely wanted some money.

They went to a total of 10 houses and got more than 10 different types of candy.

They all went back to Kelly's house. Kelly was sad looking at all their candy. Then, Albert and his friends gave Kelly a hug and said they loved *hanging out with her.

*pumpkin spice latte ࠿ࡰࡕࡷ㢼࿡ࡢࣛࢸ

*dressing up ௬⿦

*scary ᜍࢁࡋ࠸

*Halloween themed ࣁࣟ࢘࢕࣮ࣥࢆࢸ࣮࣐࡟ࡋࡓ

*gummy worms ⹸ࡢᙧࢆࡋࡓࢢ࣑

*definitely 㛫㐪࠸࡞ࡃࠊᚲࡎ

*hanging out with 㹼࡜୍⥴࡟㐟ࡪ

ฟ඾ “Too Old for Trick-or-Treating” ESL: English as a Second Language ୍㒊ᨵኚ

ࠑhttps://www.rong-chang.com/index.htmlࠒ㸦᭱⤊࢔ࢡࢭࢫ᪥ 2019ᖺ11᭶㸲᪥㸧

8

ḟࡢⱥᩥࢆࡼࡃㄞࡳࠊ௨ୗࡢၥ࠸࡟⟅࠼࡞ࡉ࠸ࠋ

10

ၥ㸯 ࡞ࡐ➹⪅ࡣୗ⥺㒊ձࡢࡼ࠺࡟ゝࡗ࡚࠸ࡿࡢ࠿᪥ᮏㄒ࡛ㄝ᫂ࡋ࡞ࡉ࠸ࠋ ၥ㸰 ୗ⥺㒊ղࢆ࿴ヂࡋ࡞ࡉ࠸ࠋ

ၥ㸱 ୗ⥺㒊ճࢆḟࡢࡼ࠺࡟ⱥㄒ࡛᭩ࡁ᥮࠼ࡿሙྜࠊ( )࡟ධࡿ㐺ษ࡞ㄒࢆ

ࡑࢀࡒࢀ1ㄒࡎࡘ⟅࠼࡞ࡉ࠸

I am ( ) scared ( ) I ( ) talk to strangers.

ၥ㸲 ୗ⥺㒊մ࡛ᙼዪࡓࡕࡀ᭱ᚋ࡟ゼࢀࡓᐙࡢఱࢆ㠃ⓑ࠸࡜ᛮࡗࡓࡢ࠿ࠊ᪥ᮏㄒ࡛⟅࠼

࡞ࡉ࠸ࠋ

ၥ㸳 ᮏᩥࡢෆᐜ࡜୍⮴ࡍࡿࡶࡢ࡟ࡣ㹒ࢆࠊ୍⮴ࡋ࡞࠸ࡶࡢ࡟ࡣ㹄ࢆ᭩ࡁ࡞ࡉ࠸ࠋ (1) Kelly is 10 years old now.

(2) Only Albert and his friends went out for “Trick or Treat.”

(3) Kelly’s cousin got some money from a couple.

(4) Nobody gave Kelly any candy.

㻝 ၥ䠍 㻔㻝㻕 㻔㻞㻕 ၥ䠎 㻔㻝㻕 㻔㻞㻕 㻔㻟㻕

ၥ䠏 㻔㻝㻕 䠖 㻔㻞㻕 䠖 㻔㻟㻕 㻦

㻞 㻔㻝㻕 㻔㻞㻕 㻔㻟㻕 㻔㻠㻕 㻔㻡㻕

㻟 㻔㻝㻕 㻔㻞㻕 㻔㻟㻕

㻔㻠㻕

㻠 㻔㻝㻕 .

㻔㻞㻕 㻔㻟㻕 㻔㻠㻕

㻔㻡㻕 .

㻡 㻔㻝㻕 㻔㻞㻕 㻔㻟㻕

㻢 䐟

䐠

㻣 ၥ䠍 㼍 㼎 㼏 㼐

ၥ䠎 ၥ䠏 ၥ䠐

㻔㻝㻕 㻔㻞㻕

ၥ䠒 㻭 㻮

㻤

ၥ䠎

ၥ䠏 㻵㻌㼍㼙㻌㻔㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻕㻌㼟㼏㼍㼞㼑㼐㻌㻔㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻕㻌㻵㻌㻔㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻕㻌㼠㼍㼘㼗㻌㼠㼛㻌㼟㼠㼞㼍㼚㼓㼑㼞㼟㻚 ၥ䠐

ၥ䠑 㻔㻝㻕 㻔㻞㻕 㻔㻟㻕 㻔㻠㻕

௧࿴䠎ᖺᗘ䚷୍⯡ධヨ䚷ⱥㄒゎ⟅⏝⣬㻌㻌㻌䛆㻌㧗ᰯ㻌䛇

ཷ㦂␒ྕ

.

ၥ䠍

Tom's father.

She is in the world.

Please

ၥ䠑

㻝

ၥ䠍

㻔㻝㻕

䜲

㻔㻞㻕

䜲 ၥ䠎

㻔㻝㻕

䜰

㻔㻞㻕

䜶

㻔㻟㻕

䜴 ၥ䠏

㻔㻝㻕 㻣

䠖

㻜㻜 㻔㻞㻕 㻤

䠖

㻞㻜 㻔㻟㻕 㻝㻝 㻦 㻟㻜

㻞 㻔㻝㻕

䜶

㻔㻞㻕

䜰

㻔㻟㻕

䜶

㻔㻠㻕

䜶

㻔㻡㻕

䜴

㻟 㻔㻝㻕 㼚㼛 㻔㻞㻕 㻰㼑㼏㼑㼙㼎㼑㼞 㻔㻟㻕 㼃㼑㼞㼑

㻔㻠㻕

on

㻠 㻔㻝㻕

My sister has just finished reading the book. .

㻔㻞㻕

That girl dancing with Tom looks very happy.

㻔㻟㻕

The tall man we met is

㻔㻠㻕

one of the most famous writers

㻔㻡㻕

tell me how you got the book. .

㻡 㻔㻝㻕

䜴

㻔㻞㻕

䜲

㻔㻟㻕

䜲

㻢

䐟

㻵㻌㼍㼙㻌㼓㼘㼍㼐㻌㼇㼔㼍㼜㼜㼥㼉㻌㼠㼛㻌㼟㼑㼑㻌㼇㼙㼑㼑㼠㼉㻌㼥㼛㼡㻚

䐠

㻴㼛㼣㻌㼘㼛㼚㼓㻌㼐㼛㼑㼟㻌㼕㼠㻌㼠㼍㼗㼑㻌㼠㼛㻌㼓㼑㼠㻌㼠㼛㻌㼠㼔㼑㻌㼜㼍㼞㼗㻌㼎㼥㻌㼎㼡㼟㻫

㻣

ၥ䠍

㼍

䜴

㼎

䜸

㼏

䜲

㼐

䜻

ၥ䠎 ᕸᅋ䛻ᐷ䜛䛾䛜ᑡ䛧㞴䛧䛔䛛䜙䚹 ၥ䠏 䜲

ၥ䠐 㔠㨶䛩䛟䛔

㻔㻝㻕 㻴㼑㻌㼕㼟㻌㼓㼛㼕㼚㼓㻌㼠㼛㻌㼓㼛㻌㼠㼛㻌㼍㻌㼟㼡㼙㼙㼑㼞㻌㼒㼑㼟㼠㼕㼢㼍㼘㻌㼕㼚㻌㼔㼕㼟㻌㼠㼛㼣㼚㻚 㻔㻞㻕 㼅㼑㼟㻘㻌㼔㼑㻌㼕㼟㻚

ၥ䠒

㻭

䜶

㻮

䜲

㻤

䜿䝸䞊䛿䝖䝸䝑䜽䜸䜰䝖䝸䞊䝖䛻ཧຍ䛩䜛䛻䛿 䛒䜎䜚䛻ᖺ䜢䛸䛳䛶䛔䜛䛣䛸䛜ศ䛛䛳䛶䛔䛯䛛䜙䚹

ၥ䠎 ᙼዪ䛿↓ᩱ䛷␗䛺䜛ᵝ䚻䛺✀㢮䛾䛚ⳫᏊ䜢ᚓ䜛䛣䛸䛜䛩䛝䛷䛧䛯䚹

ၥ䠏

㻵㻌㼍㼙㻌㻔㻌㻌㻌㻌㻌㻌㻌㼟㼛㻌㻌㻌㻌㻌㻌㻌㻕㻌㼟㼏㼍㼞㼑㼐㻌㻔㻌㻌㻌㻌㻌㻌㼠㼔㼍㼠㻌㻌㻌㻌㻌㻌㻌㻕㻌㻵㻌㻔㻌㻌㻌㻌㻌㻌㻌㼏㼍㼚㻓㼠㻌㻌㻌㻌㻌㻌㻕㻌㼠㼍㼘㼗㻌㼠㼛㻌㼟㼠㼞㼍㼚㼓㼑㼞㼟㻚

ၥ䠐 㞄䛾ᐙ䛻ఫ䜐䜹䝑䝥䝹䛜䛚ⳫᏊ䛷䛿䛺䛟䚸䛚㔠䜢䛟䜜䛯䛣䛸䚹

ၥ䠑

㻔㻝㻕 㻲 㻔㻞㻕 㻲 㻔㻟㻕 㼀 㻔㻠㻕 㼀

ၥ䠍

Please

௧࿴䠎ᖺᗘ䚷୍⯡ධヨ䚷ⱥㄒゎ⟅⏝⣬㻌㻌㻌䛆㻌㧗ᰯ㻌䛇

ཷ㦂␒ྕ

.

in the world.

Tom's father.

She is

ၥ䠑

ྫ࿪̐೧ౕ

߁ౣ৿ছ߶౵ָߏ Ҳൢ೘ָࢾݩ໲ୌ

ཀྵ Ռ

ʀʰ࢟Όʱ͹߻ਦ͍͗ΖΉͲɾ໲ୌ࡯ࢢΝ֋͏ͱͺ͏͜ΉͦΞɽ ʀ໲ୌ࡯ࢢͺ̏Ϙʖζ͖Δ̏̑ϘʖζΉͲ͍ΕΉͤɽ

ʀ౶͓ͺͤ΄ͱմ౶༽ࢶͶى೘͢ͱ͚ͫ͠͏ɽ ʀࢾݩश྅ޛͺ͞͹࡯ࢢΝ࣍ͬؾͮͱ͚ͫ͠͏ɽ

̏ ৿ছ͚ΞͺཀྵՌ͹दۂͲɾָߏͳͨ͹बว͹ਫ਼෼͹؏ࡱͳࣰݩΝߨͮͪɽ࣏ͺɾͨ͹࣎͹

಼༲ΝΉͳΌͪ΍͹Ͳ͍Ζɽ͞ΗΝಣΊɾ֦໲͏Ͷ౶͓͵͠͏ɽ ʴ؏ࡱ̏ʵ

ʴΉͳΌʵ

ʴ؏ࡱ̐ʵ

ʴΉͳΌʵ

ʴࣰ ݩʵ

ʴ̏ʵ

ʴ̐ʵ

ʴ̑ʵ

ָߏबว͹ਭీΝ؏ࡱͤΖͳɾᶅΩΦϩ͹ཝΝ൅ݡͪ͢ɽΉͪɾਭీ͹ਭΝ ࡀख͢ͱݨඏںͲ؏ࡱͤΖͳɾϝζϱαͳϝΩσΫϠΝ൅ݡͪ͢ɽ͞ΗΔͶ

ͯ͏ͱ௒΄ָसΝߨͮͪɽ

ϝζϱαͺϝζϱαՌϝζϱα଒Ͷ଒ͤΖ୸ਭ੓͹ᶆߗ֬ྪͲɾਫ਼৫Ͷͺɾ

ࣙ෾ͳಋͣέϫʖϱ͖͢ࢊΉ͵͏΍͹ͳɾިഓ͢ͱࢢଛΝ࢔༙ͤ੓ਫ਼৫ͳ͏

͑̐ͯ͹๏๑͍͗Ζɽ

ϝΩσΫϠͺୱࡋ๖ਫ਼෼Ͳ͍Ζ͗ɾർֳద୉ܗ͵ඏਫ਼෼ɽ৆ࡋ͵؏ࡱͶͺ ݨඏں͗චགྷͫ͗ɾഔི͗ॉ਼ഔ͚Δ͏͹ᶇϩʖϘͲ΍ݺରΝ֮೟Ͳ͘Ζɽ ָߏबว͹৪෼͹؏ࡱΝߨ͏ɾͨ͞Ͳࡀखͪ͢νϱϛϛͳηάβίͶͯ͏ͱ

௒΄ָसΝߨͮͪɽ

νϱϛϛͺɾΫέՌνϱϛϛ଒͹૱সɽଡ೧ਫ਼Ͳɾͨ͹ଡ͚ͺϤʖϧεΠ

୉཰Ͷࣙષ෾ාͤΖɽΉͪᶈඅࢢ৪෼Ͳ͍Εࠞʀܬʀཁ͹ۢพ͍͗Ζɽͯ͹

՘Ͷͯ͹՘อΝ෉ͪ͜߻อ՘Ͳ͍Ζ͗ɾଡ͚͹՘อΝ෉ͪ͜཯อ՘͹Γ͑

Ͷݡ͓Ζɽ

ηάβίͺᶉαί৪෼͹Ҳझɽνϱϛϛͳҩͮͱࠞʀܬʀཁ͹ۢพ͗͵͏ɽ ཀྵՌ࣪Ͳࣄү͠Ηͱ͏ΖϟξΩ͹ਫ਼ସΝ௒΄ΖͪΌɾพ͹ਭ૩Ͷ೘Ηͱ ಊ͗͘ཚͬ஥͚͹Νଶͮͱ͖Δɾ࣏͹ͯ͹ࣰݩΝߨͮͪɽ

ਦ̏ ਦ̐ ਦ̑

ਦ͹Γ͑Ͷɾਭ૩Ͷો૥͚घΝۛͰ͜ͱɾϟξΩ͹ൕԢΝ؏ࡱͤΖͳɾ ϟξΩͺۛͰͪ͜घͳൕଲଈͶಊ͏ͪɽ

ਦ͹Γ͑Ͷɾਭ૩͹ΉΚΕͶॐͣΉໝ༹͹ࢶΝͯΖ͢ɾϟξΩ͹ಊ͗͘

ཚͬ஥͚͹ΝଶͮͱɾࢶΝ໾һ͹޴͘Ͷ੫͖Ͷಊ͖ͪ͢ͳ͞ΘɾϟξΩͺ ࢶ͹ಊ͘ͳಋͣ޴͘Ͷಊ͏ͪɽ

ਭ૩͖ΔϟξΩΝखΕड़͢ɾඎ;Η͹݄؇ΝݨඏںͲ؏ࡱͤΖͳɾਦ ͹ Γ͑͵݄؇͹஦Νɾ݄؇͹ଢ͠ͳΆ·ಋ͚ͣΔ͏͹୉͘͠͹ཽ͗Ҳఈ͹޴͘

ͶླྀΗͱ͏༹͚ࢢ͗ݡΔΗͪɽ

ཽ

໲̏ Ծત෨ᶅͶͯ͏ͱɾԾ͹$ʛ(ͺΩΦϩ͹ཝ͗൅ਫ਼͢ͱ͏͚գఖͲ͹͏Θ͏Θ͵࣎غ͹

༹ࢢΝໝࣞదͶනͪ͢΍͹Ͳ͍Ζɽ

ʤ̏ʥ$ͺण੠ཝͲ͍Ζɽ%ʛ(Ν൅ਫ਼͢ͱ͏͚ॳͶด΄଺͓͵͠͏ɽ

ʤ̐ʥ࣏͹ชহͺɾਫ਼৫Νߨ͑ࡏͶࡠΔΗΖਫ਼৫ࡋ๖Ͷͯ͏ͱफ़΄ͪ΍͹Ͳ͍Ζɽช஦͹

ΠʛΤͶ͍ͱͺΉΖޢۡΝͨΗͩΗ౶͓͵͠͏ɽ

ਫ਼৫ࡋ๖ͺɾݰ਼෾࿀ͳ͏͑ʤ Π ʥ͹਼͗ରࡋ๖͹ʤ ΢ ʥͶ͵Ζಝพ͵ࡋ๖

෾࿀ͶΓͮͱ͚ͯΔΗΖɽ͞͹Γ͑Ͷ͢ͱ͚ͯΔΗͪਫ਼৫ࡋ๖͹ण੠ͶΓͮͱɾࢢͺ

਎ͳʤ Τ ʥ਼͹ʤ Π ʥΝ΍ͯ͞ͳͶ͵Ζɽ

໲ Ծત෨ᶆͶͯ͏ͱɾߗ֬ྪ͹ಊ෼͹ࠐ֪͹͚ͯΕͺ੺௥ಊ෼ͳͺ୉͚͘ҡ͵Ζɽྈं͹ҩ

͏ͶͺՁ͍͗Ζ͖ɾʰഐࠐ͹༙ໃʱҐ֐Ͳ؈ୱͶઈ໎͢͵͠͏ɽ

໲̑ Ծત෨ᶇͶͯ͏ͱɾϩʖϘͶ࢘ΚΗΖದϪϱθ͹࢕ૌΊͺɾ໪ͳΓ͚ࣇͱ͏Ζɽਦͺ ϐφ͹໪͹இ໚ΝໝࣞదͶࣖͪ͢΍͹Ͳ͍Ζɽ

ਦ̒ ਦ̓

ʤ̏ʥ࣏͹ชহͺɾ໪͗ӫ଀Ν೶Ͷఽ͓Ζ࢕ૌΊͶͯ͏ͱॽ͖Ηͪ΍͹Ͳ͍Ζɽช஦͹Πʛ ΤͶͺਦ̒͹DʛH͏ͥΗ͖Νɾ;ʛ=Ͷͺ͍ͱͺΉΖޢۡΝɾͨΗͩΗ౶͓͵͠͏ɽ

໪Ͷ೘Ζޭ͹ྖͺɾਦ͹ʤ Π ʥ͹ʤ ; ʥͲɾͽͳΊ͹୉͘͠Νร͓ͱ௒ઇ

͠ΗΖɽਦ͹ʤ ΢ ʥ͹ਭধର͗ޭΝʤ < ʥͦ͠ͱɾਦ͹G͹ʤ = ʥͶ଀

Ν݃΁ɽʤ = ʥ͗ޭ͹࢙ܻΝण͜खΕɾਦ͹ʤ Τ ʥ͹ਈܨΝ௪͢ͱ೶Ͷ৶ߺ Νఽ͓Ζɽ

$㻌 _%㻌 _&㻌 _'㻌 ₍㻌

F D G

H E

ʤ̐ʥਦ̒͹FΝ௪͢ͱG͹෨ҒͶ଀͗݃ͻΗΖͳ͘ͺɾਦ͹ช࣊ͺɾʹ͹Γ͑Ͷӫͮͱ

͏Ζ͖ɽ࣏͹ΠʛΦ͖Δਜ਼͢͏΍͹Νમ;ɾىߺͲ౶͓͵͠͏ɽ

Π ΢ Τ Φ

໲ Ծત෨ᶈͶͯ͏ͱɾඅࢢ৪෼Ν͠ΔͶ෾ྪͤΖͳɾୱࢢཁྪͳ૔ࢢཁྪͶ෾ྪͤΖ͞ͳ

͗Ͳ͘Ζɽ࣏͹ΠʛΨ͖ΔୱࢢཁྪΝ̏ͯમ;ɾىߺͲ౶͓͵͠͏ɽΉͪɾͨ͹ࠞ͹༹ࢢ ͳཁຼͶͺɾʹ͹Γ͑͵ಝ௅͍͗Ζ͹͖Ν౶͓͵͠͏ɽ

Π ΢ϊϭϧϑ ΢ φΤϠϫαε Τ ΢οϥΤ Φ ςώΫ Ψ ηά

໲ Ծત෨ᶉͶͯ͏ͱɾαί৪෼ͺࠞʀܬʀཁ͹ۢพͺ͵͏͗ՀࠞͳݼͻΗΖ͚ͯΕ͍͗Ζɽ

͞͹Հࠞ͹ༀׄΝઈ໎͢͵͠͏ɽ

໲ ʴࣰݩʵͶͯ͏ͱɾ࣏͹֦໲͏Ͷ౶͓͵͠͏ɽ

ʤ̏ʥϟξΩΝਭ૩Ͷ೘Ηͱ͖Δɾಊ͗͘ཚͬ஥͚͹Νଶͯ͹ͺ͵͖ͧΝ౶͓͵͠͏ɽ

ʤ̐ʥʴ̏ʵΏʴ̐ʵ͹ϟξΩ͹ൕԢ͖ΔɾϟξΩͺʹ͞͹״ְحׯͲ࢙ܻΝण͜खͮͱ͏Ζ ͳݶ͓Ζ͖Ν౶͓͵͠͏ɽ

ʤ̑ʥʴ̑ʵͲɾ݄؇͹஦ΝҲఈ๏޴ͶླྀΗͱ͏ཽͪͺՁ͖Ν౶͓͵͠͏ɽ

ʤ̒ʥʤ̑ʥ͹ཽͶͺɾϖϠήϫϑϱͳ͏͑෼࣯͗؜ΉΗͱ͏Ζɽ͞͹ϖϠήϫϑϱͺ࢐ોΝ સਐ΃ӣ΁ༀׄΝ͢ͱ͏Ζ͗ɾϖϠήϫϑϱࣙରͺ݄؇͖Δड़Ζ͞ͳ͗Ͳ͘͵͏ɽʹ͹

Γ͑Ͷ͢ͱ࢐ોΝࡋ๖΃ో͢ͱ͏Ζ͹͖Νઈ໎͢͵͠͏ɽ

̐ ஏځͲ؏ࡱͤΖ͞ͳ͗Ͳ͘Ζ༹ʓ͵ݳেͶͯ͏ͱɾ֦໲͏Ͷ౶͓͵͠͏ɽ

ᶙɿೖຌͲͺ਼ଡ͚͹ஏਔً͗ͮ͞ͱ͏Ζɽஏਔ͗൅ਫ਼ͤΖݬҾͺ͏Θ͏Θ͍Ζ͗ɾͨ͹ଡ͚

ͺ Π ͗ؖܐ͢ͱ͏Ζɽྭ͓ͻɾքఊ͹͍Ζ৖ॶͲҡ͵Ζ Π ͹Ҳ๏͗ଠ๏͹ԾͶ ઞΕࠒΊɾͨ͹࣎ਫ਼ͣΖͽͥΊͶଳ͓઀Η͵͚͵Εൕ൅ͪ͢ͳ͘Ͷஏਔً͗͞Ζɽ͞͹࣎

ஏਔͳͳ΍Ͷ ΢ ΍ً͞Ζ͞ͳ͍͗ΖɽΉͪɾ Π ͹ԣ͢߻͏ͶΓΕஏ૜ͶͥΗ͗

ਫ਼ͣΖ͞ͳͶΓΕஏਔً͗͞Ζ͞ͳ΍͍Ζɽ͞͹࣎ਫ਼ͣͪͥΗͺɾͨ͹ޛ΍܃Εศ͢ಊ͚

͞ͳͶΓΕɾஏਔً͗͞Ζ͞ͳ͍͗Ζɽ͞͹ͥΗΝ Τ ͳ͏͑ɽ

໲̏ ช஦͹ Π ʛ Τ Ͷ͍ͱͺΉΖޢۡΝ౶͓͵͠͏ɽ

໲̐ ஏਔ͹ΑΗ͹୉͘͠ΝනͤʰਔౕʱͺɾՁஊ֌Ͳන͠ΗΖ͖Ν౶͓͵͠͏ɽ

໲̑ ஏਔ͹ΑΗ͹୉͘͠ͺਔݱ͖Δ͹ړ཯͗ۛ͏ͳ͞ΘΓΕ΍ɾਔݱ͖Δঙ͢཯Ηͪͳ͞Θ

͹๏͗୉͚͘͵Ζ৖߻͍͗Ζɽͨ͹ཀྵ༟Ν౶͓͵͠͏ɽ

໲̒ Ծ͹නͺɾ͍ΖஏਔͶ͕͜Ζ$ஏ఼͖Δ'ஏ఼͹ॵغඏಊ͗࢟Ήͮͪ࣎ؔͳɾਔݱ

͖Δ͹ړ཯ΝΉͳΌͪ΍͹Ͳ͍Ζɽ

ஏ఼ ॵغඏಊ͗࢟Ήͮͪ࣎ࠃ ਔݱ͖Δ͹ړ཯

$ ̖̖࣎̒෾̖̓භ ̓̎NP

% ̖̗࣎̒෾̎̔භ ̏̎̎NP

& ̖̗࣎̒෾̏̎භ ᶅ NP

' ̖̗࣎̒෾̐̐භ ̐̎̎NP

ʤ̏ʥන஦͹ ᶅ Ͷ͍ͱͺΉΖ਼஍Ν౶͓͵͠͏ɽ

ʤ̐ʥਔݱ͖Δ͹ړ཯͗̑̓̎NPͲ͍Ζஏ఼Ͳɾॵغඏಊ͗࢟Ήͮͪ࣎ࠃΝ౶͓͵͠͏ɽ

ʤ̑ʥ͞͹ஏਔ͗൅ਫ਼ͪ࣎͢ࠃΝ౶͓͵͠͏ɽ

ᶚɿೖຌ͹बวͶͺ͏͚͖ͯ͹ـ஄͍͗Εɾلઇ͟ͳͶـেͶӪڻΝ༫͓ͱ͏ΖɽԾ͹ਦͺɾ

ͨ͹͑ͬ͹େනద͵΍͹ΝໝࣞదͶනͪ͢΍͹Ͳ͍Ζɽ

໲̏ ਦ͹$ɾ&͹ـ஄͹໌সΝͨΗͩΗ౶͓͵͠͏ɽΉͪɾͨΗΔ͹ـ஄͹ಝ௅ΝɾΠʛ Φ͖ΔͨΗͩΗમ;ɾىߺͲ౶͓͵͠͏ɽ

Π ஈ͖͚࣬ͮͪـ஄ ΢ ஈ͖͚ף૫ͪ͢ـ஄

Τ ྮ͚ͪ࣬ͮͪـ஄ Φ ྮ͚ͪף૫ͪ͢ـ஄

໲̐ ـ஄$͹ӪڻΝ୉͚͘ण͜ΖلઇͺɾॡʀՈʀवʀ౛͹͏ͥΗ͖ɽΉͪɾͨ͹لઇͶ

͕͜Ζఱܗద͵ـѻഓ஖ΝՁͳ͏͖͑Ν౶͓͵͠͏ɽ

໲̑ ॡΏवͶɾย੤෫Ͷ͹ͮͱ΍ͪΔ͠ΗΖ߶ـѻΝɾՁͳ͏͖͑Ν౶͓͵͏ɽ

໲̒ ـ஄%ͳ&͗΁͖ͯΕ߻ͮͱͲ͘ɾӏ͹ଡ͏͛ͥͯ͏ͪళـΝ΍ͪΔͤ઴ત͹໌সΝ

౶͓͵͠͏ɽ

ᶛɿ݆ͳۜ੗ͶؖͤΖҐԾ͹֦໲͏Ͷ౶͓͵͠͏ɽ

໲̏ Ծ͹ਦͺ݆͹ޮ఺͹Γ͑ͤΝళ͹๼ۅଈ͖Δݡͪ΍͹Ͳ͍Ζɽ

ʤ̏ʥ݆͗$ɾ%͹Ғ஖Ͷ͍Ζͳ͘Ͷݡ͓ΖܙͺɾͨΗͩΗՁͳΓͻΗΖ͖Ν౶͓͵͠͏ɽ

ʤ̐ʥ݆͗&͹Ғ஖Ͷ͍Ζͳ͘ɾʹ͹Γ͑͵ܙͶݡ͓Ζ͖ΝɾԾ͹ΠʛΩ͖Δમ;ɾىߺͲ

౶͓͵͠͏ɽͪͫ͢ɾΠʛΩͺ݆͗࠹΍߶͏Ғ஖Ͷͪ͘ͳ͘͹݆͹ݡ͓๏Ͳ͍Ζɽ

ʤ̑ʥೖৱ͗ʹ͹Γ͑Ͷ͢ͱً͞Ζ͹͖Νʰଢཇʱɾʰஏځʱɾʰ݆ʱͳ͏͑ޢۡΝͤ΄ͱ༽͏

ͱઈ໎͢͵͠͏ɽ

Π㻌 _΢㻌 _Τ㻌 _Φ㻌 _{Ψ Ω}㻌

໲̐ Ծ͹ਦͺɾଢཇ͹ΉΚΕΝޮ఺ͤΖۜ੗ͳஏځ͹Ғ஖ؖܐΝɾໝࣞదͶනͪ͢΍͹Ͳ

͍Ζɽ

ʤ̏ʥۜ੗ͶؖͤΖઈ໎ͳ͢ͱਜ਼͢͏΍͹Ν࣏͹ΠʛΤ͖Δ̏ͯમ;ɾىߺͲ౶͓͵͠͏ɽ

Π ۜ੗͹࣯ྖͺɾ໨੗ΓΕঘ͠͏ɽ

΢ ۜ੗͹ޮ఺बغͺɾՒ੗ΓΕௗ͏ɽ

Τ ۜ੗ͺɾౖ੗͹Γ͑Ͷ୉෨෾͗ـରͲͲ͘ͱ͏Ζɽ

ʤ̐ʥۜ੗͗ਦ͹$͹Ғ஖Ͷ͍Ζͳ͘ɾ͏ͯࠔʹ͹๏ҒͶݡ͓Ζ͖ɽ࣏͹ΠʛΦ͖Δ̏ͯ

મ;ɾىߺͲ౶͓͵͠͏ɽ

Π ໎͜๏ɾ౨͹ۯͶݡ͓Ζɽ ΢ ໎͜๏ɾ੤͹ۯͶݡ͓Ζɽ Τ ༨๏ɾ౨͹ۯͶݡ͓Ζɽ Φ ༨๏ɾ੤͹ۯͶݡ͓Ζɽ

ʤ̑ʥਦ͹$ʛ&͹͑ͬɾۜ੗͗࠹΍୉͚ܿ͘͜ͱݡ͓Ζ͹ͺʹΗ͖ɾ̏ͯમ;ɾىߺͲ

౶͓͵͠͏ɽ

ʤ̒ʥਇ໹஦Ͷۜ੗ΝݡΖ͞ͳ͗Ͳ͘͵͏ཀྵ༟Ν౶͓͵͠͏ɽ

㻌㻌

ۜ੗͹ޮ఺ٌಕ ஏځ͹ޮ఺ٌಕ

ஏځ͹ࣙ఺͹޴͘ ஏځ㻌 ଢཇ㻌

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̑ ೧͹όʖϗϩԿָৈͺʰϨοΤϞ΢Ψϱుஓ͹֋൅ʱΝཀྵ༟ͶɾೖຌਕΝ؜΋໌͗

णৈͪ͢ɽҐԾ͹ճ࿫ชͺɾ͞͹ωϣʖηΝݡͱుஓͶڷັΝ΍ͮͪ৿ছ͚Ξͳָߏ͹઎ਫ਼ ͳ͹ճ࿫Ͳ͍Ζɽճ࿫ชΝಣΞͲɾ֦໲͏Ͷ౶͓͵͠͏ɽ

ʴճ࿫ชʵ

৿ ছʁ઎ਫ਼ʄόʖϗϩԿָৈͲ࿫ୌͶ͵ͮͱ͏ΖᶅϨοΤϞ΢ΨϱుஓͮͱՁͲ͖ͤɽ ઎ ਫ਼ʁుஓͳ͏͑͹ͺɾ΢νϨΠ͹Ϊϩώʖωͳ͏͑ਕ͗ɾΩΦϩ͹մ๦Ν͢ͱ͏Ζͳʞ ৿ ছʁ઎ਫ਼ɾྼ࢛͹࿫ͺΉͪࠕౕͶ͢ͱ͚ͫ͠͏ɽຌୌͶ೘ΕΉ͢Β͑ɽ

઎ ਫ਼ʁͨ͗॑͞གྷ͵͹Ͷɽ݃ۃͺϚϩνͳ͏͑ਕ͗ɾᶆಖͳѧԘͳৱԚਭΝ༽͏ͱుஓ

͹ݬܗͳ͵Ζ΍͹Νࡠͮͪ͹͠ɽͨ͹ޛৱԚਭͲ͵͚ᶇོ࢐Ν༽͏Ζ͞ͳͲɾΓΕ Ҳ૜ଡ͚͹ుـΝखΕड़ͪ͢ͳ͠Ηͱ͏ΖΞͫɽͨ͹ͳ͘͹ѧԘΏಖ͹͞ͳΝుۅ ͳ͏͏ɾ͞ΗͶͺϕϧηۅͳϜ΢ψηۅ͍͗ΖΞͫɽ

৿ ছʁ͖ͪ͢ͶɾుஓΝ࢘͑ͳ͘ϕϧηͳϜ΢ψηΝؔҩΚ͵͏Γ͑Ͷͳ͖ݶ͏Ήͤ͸ɽ ઎ ਫ਼ʁᶈ͞͹ుۅΝݜڂͤΖ͞ͳ͗ɾుஓΝݜڂͤΖ͞ͳͶͯ͵͗Ζ͹͠ɽϨοΤϞͺۜ଒

͵Ξͫ͜ʹɾͨΗࣙରͺҐ઴͖Δα΢ϱుஓͳ͢ͱ࿻࣎ܯ͵ʹͶҲൢదͶ࢘ΚΗͱ

͏ͪɽࠕյ͹ݜڂͲͺɾϨοΤϞΝ΢ΨϱԿͪ͢ϨοΤϞ΢ΨϱΝ༽͏ΖͳɾΓΕ ک͏ుஓ͗Ͳ͘ɾ͠ΔͶɾᶉैు͢ͱ܃Εศ͓࢘͢ΖΓ͑ͶΉͲ൅ఴͦͪ͠Ξͫɽ ৿ ছʁ͵ΖΆʹɽͨΗͺͤ͟͏൅໎Ͳͤ͸ɽ

઎ ਫ਼ʁͲ΍ɾుஓࣙରΝߡ͓ͪϚϩν͠Ξ΍Ҕ୉Ͳ͸ɽ౲࣎ᶊుـ෾մ͹Γ͑ͶుـΝ࢘ͮ

ࣰͪݩͺͲ͘͵͖ͮͪ͗ɾుஓ͗Ͳ͖ͪ͘Δͨ͞ɾ͞͹Γ͑͵ࣰݩ͗Ն೵ͳ͵Εɾ ԿָͶ͕͜Ζݜڂ͗਒ΞͲɾࠕೖ͹Կָ͗൅ఴͪ͢ͳݶ͓ΖΞͫɽ

৿ ছʁ͵ΖΆʹɽԿָͶ΍ྼ࢛͍͗ΖΞͲͤ͸ɽ

઎ ਫ਼ʁࠕೖ͹Կָ͹൅ఴͳ͏͓ͻɾ๽͗ͤ͟͏ͳࢧ͑൅໎ͺ΍͑Ҳ͍ͯΖɽ಍ు੓ϕϧη ορέ͹֋൅͠ɽ͞͹൅໎͹͕͖͝Ͳᶋϕϧηορέ͹༽౏͗߁͗ΕɾνροϏϋϩ

͹ݜڂ΍਒ΞͫΞͫɽ

৿ ছʁऀճ͹൅ఴͺՌָ͹൅ୣͳͳ΍Ͷ͍Ζɽྼ࢛ͺԠ਄͏Ͳͤ͸ɽ͍ɾΪϩώʖω͹࿫͹

କ͘ɾگ͓ͱ͚ͫ͠͏ɽ ઎ ਫ਼ʁ΍ͬΘΞͫͳ΍ʄ

໲̏ Ծત෨ᶅͶͯ͏ͱɾϨοΤϞ͗΢ΨϱͶ͵ΖͳϨοΤϞ΢Ψϱͳ͵Ζɽ΢ΨϱͶؖͤ

Ζ࣏͹ชহ͹ۯཟͶ͍ͱͺΉΖޢۡΝ౶͓͵͠͏ɽͪͫ͢ɾಋͣޢۡΝ༽͏ͱ΍Γ͏ɽ

ϨοΤϞݬࢢͺɾϕϧη͹ుـΝ΍ͯʤ Π ʥ͹਼ͳϜ΢ψη͹ుـΝ΍ͯʤ ΢ ʥ

͹਼͗౵͢͏ͪΌɾుـదͶ஦੓Ͳ͍Ζɽ͖͢͢ɾʤ Τ ʥΝʤ Φ ʥͤΖ͞ͳͶ ΓΕɾϕϧη͹ుـΝଵ;ͪϨοΤϞ΢Ψϱͳ͵Ζɽ

໲̐ Ծત෨ᶆͶͯ͏ͱɾ࣏͹໲͏Ͷ౶͓͵͠͏ɽͪͫ͢ɾݬࢢΝනͤىߺͳ͢ͱɾѧԘͺ=Qɾ ಖͺ&XΝ༽͏Ζ͞ͳɽ

ʤ̏ʥϜ΢ψηۅͲً͞ΖรԿΝൕԢࣞͲ౶͓͵͠͏ɽͪͫ͢ɾుࢢͺ ˕^ʷͲනͤ͞ͳɽ

ʤ̐ʥৱԚਭ͹େΚΕͶ࠯౸ਭΝ༽͏ͪ৖߻ͺుـΦϋϩάʖΝखΕड़ͤ͞ͳ͗Ͳ͘Ζ͖ɾ ཀྵ༟ͳͳ΍Ͷ౶͓͠͵͏ɽ

໲̑ Ծત෨ᶇͶͯ͏ͱɾ࣏͹໲͏Ͷ౶͓͵͠͏ɽ

ʤ̏ʥོ࢐Ͷͯ͏ͱ͹ҐԾ͹ىफ़͹ۯཟͶ͍ͱͺΉΖޢۡͳ͢ͱਜ਼͢͏ૌΊ߻ΚͦΝΠʛΩ

͖Δͯમ;ɾىߺͲ౶͓͵͠͏ɽ

ོ࢐ͺʤ $ ʥ੓͹ਭ༻ӹ͵͹Ͳɾʤ % ʥ৯ϨφϜηࢶͶঙྖͯ͜ΖͳɾϨφϜη ࢶ͹৯͗ʤ & ʥ৯ͶรԿͤΖɽ

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Π ࢐ ੼ ੪

΢ ࢐ ੪ ੼

Τ ஦ ੼ ੪

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Ψ ΠϩΩϨ ੼ ੪

Ω ΠϩΩϨ ੪ ੼

ʤ̐ʥོ࢐Ͷਭ࢐ԿώϨΤϞਭ༻ӹΝঙͥͯ͢Յ͓ͪͳ͞Θ௞ా͗ਫ਼ͣͪɽ͞͹ͳًͮ͘͞

ͪรԿΝԿָൕԢࣞͲ౶͓͵͠͏ɽ

໲̒ Ծત෨ᶈͶͯ͏ͱɾుஓͶుࢢΨϩβʖϩΝͯ͵͙ɾుஓ͹ుۅ͹झྪΝร͓ͱɾԽΝ ซ͏ͪ݃ՎΝԾ͹නͶࣖͪ͢ɽుۅᶙͶಖɾుۅᶚͶѧԘΝ༽͏ͪుஓͲɾΨϩβʖϩ Ν໒Δͪ͢ͳ͘ɾͨ͹Խͺʹ͹Γ͑Ͷซ͓͞Ζͳߡ͓ΔΗΖ͖फ़΄͵͠͏ɽͪͫ͢ɾుۅ ᶙͶͺుࢢΨϩβʖϩ͹ϕϧη୼ࢢΝɾుۅᶚͶͺϜ΢ψη୼ࢢΝંକͤΖ΍͹ͳͤΖɽ

ుۅᶙ ుۅᶚ ుࢢΨϩβʖϩ͹ซ͓͞๏

ర ѧԘ ۄͺΚ͖Δ͵͏͗ɾԽͺซ͓ͪ͞

ѧԘ ర Ή͚ͮͪซ͓͞͵͖ͮͪ

ర ಖ Ή͚ͮͪซ͓͞͵͖ͮͪ

ಖ ర ۄ͗Κ͖Ζ͗ɾঘ͚͠ɾங͖ͮͪ

໲̓ Ծત෨ᶉͶͯ͏ͱɾैు͢ͱ܃Εศ͓࢘͢Ζుஓ͹໌সΝ౶͓͵͠͏ɽ

໲̔ Ծત෨ᶊͶͯ͏ͱɾࠠ߻෼Ν෾཯ͤΖ๏๑ͺɾݻ͚ͺՅ೦͵ʹ͹෼ཀྵద͵๏๑ͶݸΔΗ ͱ͕Εɾ൅ݡ͠ΗΖ९෼࣯͹झྪͺঙ͵͖ͮͪɽ͖͢͢ɾుـ෾մ͹֋൅ͶΓΕɾ৿ͪ͵

९෼࣯͹൅ݡͶͯ͵͗ͮͪɽ࣏͹໲͏Ͷ౶͓͵͠͏ɽ

ʤ̏ʥుـ෾մ͗֋൅͠ΗΖҐ઴Ͷ൅ݡ͠Ηͱ͏ͪ९෼࣯ͺɾ̐झྪҐ৏͹੔෾͗؜ΉΗͪ

෼࣯͗஦ৼͲ͍ͮͪɽ͞͹Γ͑͵९෼࣯͹૱সΝ౶͓͵͠͏ɽ

ʤ̐ʥԻౕͶΓΖ༻մౕ͹ࠫΝཤ༽͢ͱɾ९ਰ͵ݽରΝखΕड़ͤ๏๑͹໌সΝ౶͓͵͠͏ɽ

ʤ̑ʥԚԿಖਭ༻ӹΝుـ෾մͪ͢ͳ͘Ͷً͞ΖรԿΝԿָൕԢࣞͲ౶͓͵͠͏ɽ

ˠʤ̒ʥͶͯ͏ͱͺ෈న઀͵ड़ୌ͹ͪΌࡡঈ͏ͪ͢Ήͪ͢ɽ

໲̕ Ծત෨ᶋͶͯ͏ͱɾ࣏͹໲͏Ͷ౶͓͵͠͏ɽ

ʤ̏ʥϕϧηορέͺɾ༹ʓ͵झྪ͗எΔΗͱ͏Ζɽकͳ͢ͱϪζୀ͵ʹͶ༽͏ΔΗΖ ϕϧηορέ͹໌সΝ౶͓͵͠͏ɽ

ʤ̐ʥϕϧηορέ$ʛ&͹ର੷ͳ࣯ྖ͹ؖܐΝԾ͹නͶࣖͪ͢ɽ$ʛ̚͹͑ͬɾਭͶූ͘

ΦνόʖϩͶ௞΋ϕϧηορέΝમ;ɾىߺͲ౶͓͵͠͏ɽͪͫ͢ɾਭFP͹࣯ྖ

ͺJɾΦνόʖϩFP͹࣯ྖͺJͲ͍ΖͳͤΖɽ

ϕϧηορέ ର੷ʤFPʥ ࣯ྖʤJʥ

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ʤ̑ʥϕϧηορέͺܲ͏ɾ੔ܙ͢Ώͤ͏͵ʹ͹ཤ఼͍͗ΖҲ๏ɾմ݀ͤ΄͘՟ୌ΍ଡ͏ɽ ϕϧηορέ͹՟ୌͳ͢ͱߡ͓ΔΗΖ͞ͳΝ̏ͯफ़΄͵͠͏ɽ

̒ ࣏͹֦໲͏Ͷ౶͓͵͠͏ɽ

໲̏ Ծ͹ਦͺɾΨεϫηαʖϕΝ࢘ͮͱɾ͍ΖԽ͹৾ಊ͹Γ͑ͤΝഀܙͶͪ͢΍͹Ͳ͍Ζɽ

ʤ̏ʥ͞͹Խ͹৾ಊ਼ΝٽΌɾୱҒىߺΝͯ͜ͱ౶͓͵͠͏ɽ

ʤ̐ʥ͞͹ԽΓΕɾ߶͚ͱ୉͘͏Խ͹৾ಊ͹Γ͑ͤΝනͤഀܙΝॽ͘͵͠͏ɽ ͵͕ɾմ౶ཟͶͺɾ͞͹Խ͹ഀܙ఼͗તͲࣖ͠Ηͱ͏Ζɽ

໲̐ Ծ͹ਦ͹Γ͑͵࣯ྖNJ͹෼ରΝɾਭฑ໚Ͷ஖͏ͪɽ

ʤ̏ʥ໚̘ΝԾͶͪ͢ͳ͘ͳ໚̙ΝԾͶͪ͢ͳ͘Ͳͺɾਭฑ໚͗ण͜Ζྙ͹୉͘͠Ͷͺʹ͹

Γ͑͵ؖܐ͍͗Ζ͖Νɾ࣏͹ΠʛΤ͖Δમ;ɾىߺͲ౶͓͵͠͏ɽ

Π ̘͹๏͗୉͘͏ ΢ ̙͹๏͗୉͘͏ Τ ಋͣ

ʤ̐ʥʤ̏ʥͲਭฑ໚͗ण͜Ζѻྙ͹୉͘͠Ͷͺʹ͹Γ͑͵ؖܐ͍͗Ζ͖Νɾ ̏͹ΠʛΤ

͖Δમ;ɾىߺͲ౶͓͵͠͏ɽ

ʤ̑ʥ໚%ΝԾͶͪ͢ͳ͘͹ਭฑ໚͗ण͜Ζѻྙ͹୉͘͠Νɾ J͹෼ର͹॑͠Ν1ͳ

͢ͱܯࢋࣞΝ͚ͯͮͱٽΌɾୱҒىߺΝͯ͜ͱ౶͓͵͠͏ɽ ಐӠ৖ӠՠӨӻӨӹӨӻӺӺӺӨᅹӨա

Ӻ Ӽ Ӿ Ԁ Ԃ ӻӺ

໲̑ ͍Ζు೦તͶ̭͹ుѻΝ͖ͪ͜ͳ͞Θ̘͹ుླྀ͗ླྀΗͪɽ

ʤ̏ʥ͞͹ు೦તͶ͖͜ΖుѻΝ̭ͶͤΖͳɾ9͹৖߻ͳർ΄ͱɾుྙͺՁഔͶ͵Ζ͖

Ν౶͓͵͠͏ɽ

ʤ̐ʥ͞͹ు೦ત̑ຌΝԾ͹ਦ͹Γ͑Ͷͯ͵͏Ͳɾյ࿑સରͶ̭͹ుѻΝ͖ͪ͜ͳ͘͹

ుྙ͹୉͘͠ΝٽΌɾୱҒىߺΝͯ͜ͱ౶͓͵͠͏ɽ

໲̒ PΝɾභؔͲ਒΋৒Ε෼͍͗Ζɽ

ʤ̏ʥ͞Η͖ΔٽΉΖଐ͠ͺɾʰฑۋ͹ଐ͠ʱͳʰॢؔ͹ଐ͠ʱ͹ʹͬΔ͖Ν౶͓͵͠͏ɽ

ʤ̐ʥ͞͹ͳ͘͹ଐ͠ͺɾ࣎ଐՁNPͳٽΉΖ͖Ν౶͓͵͠͏ɽ

໲̓ ෼ର͹ӣಊͲͺɾΉͯ͠ྙΏۯـ͹ఏ߇͗͵͜ΗͻɾҒ஖ΦϋϩάʖͳӣಊΦϋϩάʖ

͹࿪ͺ৙ͶҲఈͶฯͪΗΖɽ

ʤ̏ʥ͞ΗΝՁ͹๑ଉͳ͏͖͑Ν౶͓͵͠͏ɽ

ʤ̐ʥ͞Η͗੔Εཱིͯ৖߻ɾNJ͹෼ରΝஏ໚͖Δ߶͗̾͠͹ͳ͞Θ͖Δࣙ༟ཚԾͦͪ͠

ͳ͘ɾஏ໚ͶୣͤΖͳ͘͹ଐ͠ͺՁPVͶ͵Ζ͖Ν౶͓͵͠͏ɽ͵͕ɾҒ஖Φϋϩάʖ ͳӣಊΦϋϩάʖ͹୉͘͠ͺɾͨΗͩΗ࣏͹͖ࣞΔٽΌΖ͞ͳ͗Ͳ͘ΖɽΉͪɾJ͹

෼ର͹॑͠Ν1ͳͤΖɽ

Ғ஖Φϋϩάʖʦ-ʧ ʻ ෼ର͹॑͠ʦ̥ʧʹ خ६໚͖Δ͹߶͠ʦ̾ʧ ӣಊΦϋϩάʖʦ-ʧ ʻ ^̏

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ྫ࿪̐೧ౕ ཀྵՌ մ౶༽ࢶʴҲൢʵ ^णݩ൬ߺ

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໲̐ لઇʁ ـѻഓ஖ʁ ໲̑ ໲̒ ઴ત

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໲̓ ͹๑ଉ PV

ಐӠ৖ӠՠӨӻӨӹӨӻӺӺӺӨᅹӨա

Ӻ Ӽ Ӿ Ԁ Ԃ ӻӺ

ྫ࿪̐೧ౕ ཀྵՌ մ౶༽ࢶʴҲൢʵ ^णݩ൬ߺ

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Π ઝ৯ର ΢ ൔ ෾ Τ ಋ ͣ

໲̐ ੺௥ಊ෼ͺ۔೓͗ࠐ֪͹֐ଈͶ͍Εɾߗ֬ྪͺ۔೓͗ࠐ֪͹಼ଈͶ͍Ζɽ

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໲̓ ରસରΝࢩ͓ͱ͏Ζɽ

໲̔ ϟξΩ͹ൕԢ͗ɾࣰݩ͹࢙ܻͶΓΖ΍͹Ͳ͍Ζ͞ͳΝ໎֮ͶͤΖͪΌɽ ໪ ੼݄ځ ࢐ોΝ؜Ξͫૌ৭ӹ݄͗؇͖ΔઝΊड़ͱɾͨΗͩΗ͹ࡋ๖΃࢐ોΝో͢ͱ͏Ζɽ

̐ ᶙ ໲̏ Π ϕϪʖφ ΢ ௣ ഀ Τ ׈இ૜ ໲̐ ̏̎ ஊ֌

໲̑ ஏ൭͹ߙ͠Ͷҩ͏͍͗ΖͪΌɽ

໲̒ ̏̐̓ ̖࣎ ̗̒෾ ̒̔භ ̖࣎ ̖̒෾ ̓̎භ ᶚ ໲̏ $໌সʁ εϗϨΠ ـ஄ ಝ௅ʁ Φ &໌সʁ ঘ־ݬ ـ஄ ಝ௅ʁ Π ໲̐ لઇʁ ౛ ـѻഓ஖ʁ ੤߶౨ఁ ໲̑ Ңಊ੓߶ـѻ ໲̒ ం଼ʤഗӏʥ ઴ત ᶛ

໲̏ $ ৏ݯ͹݆ % ৿ ݆ Φ ଢཇͳஏځ͹ؔͶ݆͚͗Ζ͞ͳͶΓΕɾଢཇ͹ޭ͓͙͗͠ΔΗΖͪΌͶً͞Ζɽ

໲̐ Π Φ ̙ ۜ੗͗ɾஏځΓΕ΍಼ଈΝޮ఺͢ͱ͏ΖͪΌɽ

̑ ໲̏ Π ཇ ࢢ ΢ ు ࢢ Τ ు ࢢ Φ ๎ ड़

໲̐ =Q ˢ =Q ʶ ۑ^㸫ۑ^㸫

ਭ༻ӹ஦Ͷ΢Ψϱ͗͵͚ɾుـ͗ླྀΗ͵͏ͪΌɾखΕड़ͦ͵͏ɽ ໲̑ ΢ +62 ʶ %D2+ ˢ %D62 ʶ +2

໲̒ ୉͘͏ԽͲۄ͗Κ͖Ζ͚Δ͏ͺͮ͘Εซ͓ͪ͞ɽ ໲̓ ್࣏ుஓ

໲̔ Կ߻෼ ࠸݃ধ &X&O ˢ &X ʶ &O

໲ ϛϨΦοϪϱ &

෾մ͠ΗͶ͚͏͹Ͳɾβϝ͗ଁ͓Ζɽ೫Ώͤͳ༙ಡΪη͗ड़Ζɽ ͵ʹ

̒

໲̏

̑̎̎ +]

໲̐

Τ ΢

ࣞʁ ̏̐

̐̎̎

̏̎̎̎̎

౶͓ ̔̎̎ 3D

໲̑ ̎ɿ̐̓ ഔ ̑̎ :

໲̒ ฑۋ͹ଐ͠ ࣎ଐ ̑̔̎ NP

໲̓ ྙָదΦϋϩάʖฯଚ ͹๑ଉ ̐̎ PV

ಐӠ৖ӠՠӨӻӨӹӨӻӺӺӺӨᅹӨա

Ӻ Ӽ Ӿ Ԁ Ԃ ӻӺ

̔̎̎

ドキュメント内 2020（令和２年）入試試験問題 (ページ 30-57)