13
令和 2 年度 入試過去問題 英語 第1問 [ リスニング問題 ] 放送を聞いて、後の問いに答えなさい。[ 10 点] Section I Listen to the dialogue and answer the questions. Question 1 Where is the situation? 1 Question 2 Where is the train leaving from? 2 Platform 1 Platform 2 Platform 3 Platform 4 Platform 5 Question 3 When does the train leave? 3 7:35 a.m. 11:15 p.m. 10:50 a.m. 8:40 p.m. 11:15 a.m. Question 4 How much is a ticket? 4 44 dollars 60 dollars 50 dollars 16 dollars 60 cents Section II Listen to the dialogue and answer the questions. Question 5 Where are they going? 5 The beach Bowling A barbecue A baseball game A friend’s house Question 6 When will they go? 6 Saturday afternoon Sunday morning Friday evening Saturday morning Sunday afternoon Question 7 Who does Tom want to bring with him? 7 His sister His brother His wife His cousin His best friend Question 8 What shouldn’t Tom forget? 8 His ticket His jersey His umbrella His water bottle His sunscreen 第2問 次の英文を読み、後の問いに答えなさい。[ 36 点] An old farmer was walking in the field one day when suddenly a wolf jumped out of the woods. “Help me, good man!” cried the wolf. “Hide me! The hunters are after me.”“How can I hide you?” asked the old man. “[1]All I have is a small *sack, but you won’t fit into it.” “I will, I will! [2]I’ll roll myself up into a ball. Help me and you will not be sorry. I’ll do you a good [3]turn, too.” The old man put the wolf into his sack, and carried it on his shoulder. The hunters came up to him and said, “Good morning to you. Did you see a wolf running by?” “No, I didn’t,” said the farmer. The hunters rode away, and the old man put the sack down and *untied it.“The hunters are gone,” he said to the wolf. “[4]And you are too heavy for me. You can get out now.” “[5]Please carry me a little longer,” asked the wolf. “Just to *make sure I’m safe.” [6]The farmer carried him some more until he was all out of breath. He put down the sack and let the wolf out. The wolf made sure that nobody was around, and then he turned to the farmer, his eyes burning with green fire. “What do you want now?” asked the old man. “Why don’t you go back into the woods?” “Now I am hungry,” said the wolf. “I’m going to eat you.” “Where is your *conscience?” cried farmer. “I carried you and saved you from the hunters. [7]Is this how you want to pay me for my kindness?” “No one pays for kindness,” said the wolf. “Who told you to be a fool and believe me?” At that moment a fox came running by. “What happened?” he asked. “What are you talking about? Tell me and I’ll be the judge.” The old man told him everything that had happened. The clever fox listened to his story and said, “You’ve lived a long time, old man, but you haven’t learned any *sense. The wolf is right. You should be eaten so that no one else will have to listen to your *stupid lies. How could such a big wolf fit into that little sack?” “I promise you the old man is telling the truth,” said the wolf. “I really was in the sack.” “I don’t believe it,” laughed the fox. “I’d have to see it with my own eyes.” The wolf climbed into the sack. Only one foot and his tail were still out. “[8]He isn’t all in,” said the fox. “How could you have tied the sack with his tail and his foot *sticking out?” The wolf pulled in his foot and tail, and the old farmer tied the sack with a rope. “Well, why are you standing there, you old man?” cried the fox. “Get a stick and throw him away! Don’t you know that the wolf you couldn’t trust is gone?” And so the fox saved the old man and *got rid of his *enemy, the wolf. [ ] sack : 麻袋、大袋 untie : ほどく make sure : 確かめる conscience : 良心 sense : 分別 stupid lies : 愚かな嘘 sticking out : 突き出る get rid of : ~を除く enemy : 問1 本文の登場人物を、登場順に並べた場合、最も適切なものを選びなさい。 9

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Page 1: 入試過去問題 英語...for me. You can get out now.” “[5]Please carry me a little longer,” asked the wolf. “Just to *make sure I’m safe.” [6]The farmer carried him

【令和 2 年度 入試過去問題 英語】

第1問 [リスニング問題 ] 放送を聞いて、後の問いに答えなさい。 [10 点 ]

Section I Listen to the dialogue and answer the questions.

Question 1 Where is the situation? 1

① ② ③ ④ ⑤

Question 2 Where is the train leaving from? 2

① Platform 1 ② Platform 2 ③ Platform 3 ④ Platform 4 ⑤ Platform 5

Question 3 When does the train leave? 3

① 7:35 a.m. ② 11:15 p.m. ③ 10:50 a.m. ④ 8:40 p.m. ⑤ 11:15 a.m.

Question 4 How much is a ticket? 4

① 44 dollars ② 60 dollars ③ 50 dollars ④ 16 dollars ⑤ 60 cents

Section II Listen to the dialogue and answer the questions.

Question 5 Where are they going? 5

① The beach ② Bowling ③ A barbecue ④ A baseball game ⑤ A friend’s house

Question 6 When will they go? 6

① Saturday afternoon ② Sunday morning ③ Friday evening

④ Saturday morning ⑤ Sunday afternoon

Question 7 Who does Tom want to bring with him? 7

① His sister ② His brother ③ His wife ④ His cousin ⑤ His best friend

Question 8 What shouldn’t Tom forget? 8

① His ticket ② His jersey ③ His umbrella ④ His water bottle ⑤ His sunscreen

第2問 次の英文を読み、後の問いに答えなさい。 [36 点 ]

An old farmer was walking in the field one day when suddenly a wolf jumped out of the woods. “Help

me, good man!” cried the wolf. “Hide me! The hunters are after me.”“How can I hide you?” asked the old

man. “ [1]All I have is a small *sack, but you won’t fit into it. ” “I will , I will ! [2] I ’ ll roll myself up into a

ball. Help me and you will not be sorry. I ’ l l do you a good [3] turn , too.” The old man put the wolf into

his sack, and carried it on his shou lder. The hunters came up to him and said, “Good morning to you.

Did you see a wolf running by?” “No, I didn’t,” said the farmer. The hunters rode away, and the old man

put the sack down and *untied it.“The hunters are gone,” he said to the wolf. “ [4] And you are too heavy

for me. You can get out now.” “ [5]Please carry me a l ittle longer ,” asked the wolf. “Just to *make sure

I ’m safe.” [6]The farmer carried him some more until he was all out of breath. He put down the sack and

let the wolf out. The wolf made sure that nobody was a round, and then he turned to the farmer, his eyes

burning with green fire. “What do you want now?” asked the old man. “Why don’t you go back into the

woods?” “Now I am hungry,” said the wolf. “I ’m going to eat you.” “Where is your *conscience?” cried

farmer. “I carried you and saved you from the hunters. [7] Is this how you want to pay me for my

kindness?” “No one pays for kindness,” said the wolf. “Who told you to be a fool and believe me?” At

that moment a fox came running by. “What happened?” he asked. “What are you talking about? Te ll

me and I’ ll be the judge .” The old man told him everything that had happened. The clever fox l istened

to his story and said, “You’ve lived a long time, old man, but you haven’t learned any *sense. The wolf is

right. You should be eaten so that no one else will have to l isten to your *stupid l ies. How could such

a big wolf fit into that little sack?” “I promise you the old man is telling the truth,” said the wolf. “I

really was in the sack.” “I don’t believe it,” laughed the fox. “I ’d have to see it with my own eyes.” The

wolf climbed into the sack. Only one foot and his tail were stil l out. “[8] He isn’t all in,” said the fox.

“How could you have tied the sack with his tail and his foot *sticking out?” The wolf pulled in his foot

and tail, and the old farmer tied the sack with a rope. “Well, why are you standing there, you old man?”

cried the fox. “Get a stick and throw him away! Don’t you know that the wolf you couldn’t trust is gone?”

And so the fox saved the old man and *got rid of his *enemy, the wolf.

[注 ] sack : 麻袋、大袋 untie : ほどく make sure : 確かめる conscience : 良心 sense : 分別

stupid lies : 愚かな嘘 sticking out : 突き出る get rid of : ~を除く enemy : 敵

問1 本文の登場人物を、登場順に並べた場合、最も適切なものを選びなさい。 9

Page 2: 入試過去問題 英語...for me. You can get out now.” “[5]Please carry me a little longer,” asked the wolf. “Just to *make sure I’m safe.” [6]The farmer carried him

① 農夫→犬→キツネ→猟師 ② オオカミ→農夫→猟師→キツネ ③ 農夫→オオカミ→キツネ→猟師

④ 農夫→オオカミ→猟師→キツネ ⑤ オオカミ→猟師→農夫→キツネ

問2 下線部 [1] の内容として適切なものを選びなさい。 10

① 私は小さな袋でも何でももっているが、あなたはそれを欲しがらないだろう。

② 私が持っているのは小さな袋だけだが、あなたはそれを欲しがらないだろう。

③ 私は小さな袋はすべてもっているが、あなたはそれに似合わないだろう。

④ 私が持っているのは小さな袋だけだが、あなたはその中に入れないだろう。

⑤ 私は小さな袋はすべて持っているが、あなたはその中に入りたくないだろう。

問3 下線部 [2] の内容として適切なものを選びなさい。 11

① 私は自分でボールを転がします。 ② 私は自分でボールの中に入っていきます。

③ 私は体を丸めて、ボールのようになります。 ④ 私は体を丸めて、ボールの中に入っていきます。

⑤ 私は自分で上のほうへボールを投げます。

問4 下線部 [3]の意味として適切なものを選びなさい。 12

① 順番 ② 回転 ③ しかえし ④ 返事 ⑤ お礼

問5 下線部 [4]を次のように書き換えたとき、空欄に入る適切なものを選びなさい。 13

And you are so heavy .

① that I cannot carry you ② that I can carry you ③ for me to carry them

④ for me to be carried ⑤ for me not to be carried

問6 下線部 [5]について、次の問いに対する正しい答えを選びなさい。 14

Why did the wolf ask the old man to carry him?

① Because he wanted to be safe from the old farmer.

② Because he wanted to be in the sack to sleep a little longer.

③ Because he wanted to get the old man tired and then eat him.

④ Because he wanted to go to town with the old man.

⑤ Because he didn ’ t want to walk any more.

問7 下線部 [6]の内容として適切なものを選びなさい。 15

① 農夫はすっかり息が切れてしまうまで、オオカミをさらに運んだ。

② 農夫はすっかり息がきれてしまうまで、オオカミにもっとたくさんの物を運んだ。

③ 農夫はオオカミの胸が出てきてしまうまで、さらに運んだ。

④ 農夫はオオカミがのりだしてくるまで、オオカミにもっとたくさんの物を運んだ。

⑤ 農夫はすっかりオオカミの息が切れてしまうまで、オオカミを少し運んだ。

問8 下線部 [7]の内容として適切なものを選びなさい。 16

① お前はこんなふうにして、私の親切に対してお金を払いたいのか。

② お前はこんなふうにして、私に親切にしたいのか。

③ これが私の親切に対するお前の答え方なのか。

④ これがどうして私の親切ということになるのか。

⑤ どうやってお前は私の親切に答えようとするのか。

問9 下線部 [8]の内容として適切なものを選びなさい。 17

① 彼はまだ全然入ってないじゃないか。 ② 彼はまだ全部は、入り切っていないじゃないか。

③ 彼はそれをまだ全部は、入れていないじゃないか。 ④ 彼はそれをまだ全然入れてないじゃないか。

⑤ 彼がすべてではないじゃないか。

問 10 本文の内容を要約した場合、適切な順番に並べ、 18 ~ 20 に入るものをそれぞれ選びなさい。

① The wolf came up to the farmer when he was walking in the field. The wolf asked the farmer to

hide him, and the farmer put him into his sack.

② The wolf went into the sack again. The old farmer tied the sack with a rope.

③ When the hunters came to the old man, he told them a l ie. The wolf tried to eat the old man.

④ The fox saved the old man from the wolf.

⑤ The fox came running by, and the old man told everything to the fox.

① → 18 → 19 → 20 → ④

第3問 Mika Hanks と Tony Valley のメールのやり取りの英文です。各問に答えなさい。 [9 点 ]

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A

From: Mika Hanks To: Tony Valley Dates: April 6, 2019

Dear Tony,

I just read your e-mail now. Thanks for inviting me. But my bicycle is broken now. The bicycle

shop near my house is closed on Saturdays, so I can’t fix it by Sunday. I really want to go with

you, but I can’t. Take a lot of pictures there and show them to me later. Say hello to Jake and

Diana!!

Yours,

Mika

B

From: Mika Hanks To: Tony Valley Dates: April 6, 2019

Dear Tony,

Thank you so much! How kind you are! So I will go to your house on Saturday morning. I ’m

looking forward to going cycling with you!

Yours,

Mika

問1 A~Dのメールのやり取りを内容が分かるように並べかえた場合、次のどの順番になるか選びなさい。 21

① A→B→C→D ② B→A→C→D ③ C→A→D→B ④ D→A→B→C ⑤ D→A→C→B

問2 次の各問に答えなさい。

(1) What is Mika ’s problem? 22

① She is not good at riding a bicycle. ② I t ’s going to rain on Sunday.

③ She cannot use her own bicycle. ④ The shop is too far from her house.

⑤ She wil l do her homework on Sunday.

(2) Why did Tony tell Mika to come over on Sunday morning? 23

① She doesn’t know where the bicycle shop is. ② Mika will buy a new bicycle.

③ The shop will open early in the morning. ④ His sister wil l lend Mika a bicycle.

⑤ She wil l have breakfast with him.

第4問 次の各対話文について、両者の対話が成り立つように 24 ~ 28 に入る最も適切なものを1つずつ

選びなさい。 [15 点 ]

問1 A: I don’t think I can play soccer with you after school.

B: 24 You love soccer.

A: Well, my mother has been sick since last week.

① What ’s wrong? ② When did you go? ③ How long is it?

④ Who was it? ⑤ How do you feel?

問2 Mother: Why don ’ t you clean your room, Dick?

Dick: 25

Mother: Good. I ’ l l help you after washing these dishes.

① I have no idea. ② No, I ’m full . ③ I ’ l l do it right away.

④ You look tired. ⑤ I don ’ t want to.

問3 A: Would you like some more cookies, Terry?

B: No, thank you. 26

C

From: Tony Valley To: Mika Hanks Dates: April 6, 2019

Dear Mika,

No problem, Mika. You can use my sister’s bicycle that day. So you can go with us! Please

come to my house to get the bicycle around 8 a.m. that morning. Anyway, I ’ l l call you later.

Let’s go cycling and have some fun!

Yours,

Tony

D

From: Tony Valley To: Mika Hanks Dates: April 6, 2019

Dear Mika,

How are you doing? It ’s getting warm these days, isn ’ t it? Would you like to go cycling in

Mountain Park this Sunday with Jake and Diana? The cherry blossoms and other flowers will

be beautiful around there. I think it wil l be a nice day.

Yours,

Tony

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A: Really? I thought you would eat a little more.

B: Sorry. I ’ve decided to go on a diet recently.

① I ’d like to come again. ② I ’ve had enough. ③ I knew you would say so.

④ I ’ l l order a new one. ⑤ Now I don ’t have any money.

問4 A: What can I do for you?

B: I ’m looking for a copy of the latest book by Joshua Evans.

A: Oh, I ’m very sorry. 27

B: I see. I ’ l l try somewhere else, then.

① We sold our last copy just a while ago. ② We sent it to you three days ago.

③ The copy has not been printed yet. ④ He has not finished writing the book.

⑤ He didn’t write such a book.

問5 A: What shall we do for dinner tonight?

B: How about trying that new Italian restaurant?

A: 28 Let ’s have Chinese.

B: Again? You always want Chinese food!

① I don ’ t know how to make Italian food. ② I already had dinner.

③ I don’t feel like Italian food. ④ I want to eat spaghetti.

⑤ Have you been to Italy?

第5問 次の文の 29 ~ 33 に入る語句として最も適切なものを1つずつ選びなさい。 [15 点 ]

問1 A: May I speak to Kevin?

B: I ’m sorry, Kevin is out now. I think he’ll be back 29 .

① least ② rather ③ quite ④ soon ⑤ again

問2 Tom couldn’t hear what Ms. King said, so he asked her to speak a little 30 .

① faster ② louder ③ harder ④ sooner ⑤ earlier

問3 Debby 31 for three hours since this full marathon race started. But it will take about one

more hour for her to finish the race.

① runs ② to run ③ has run ④ ran ⑤ was running

問4 You have to hand in your book report to your homeroom teacher 32 Friday.

① at ② until ③ by ④ in ⑤ for

問5 A: I want to become a nurse l ike my mother.

B: I hope your dream will 33 true.

① make ② go ③ take ④ come ⑤ give

第6問 次の日本文の意味を表すように、①~⑤の語句を並べかえ、 34 ~ 43

に入るものを選びなさい。 [15 点 ]

問1 ひとり旅をするときは気をつけてくださいね。

I 34 careful 35 you travel alone.

① when ② want ③ be ④ to ⑤ you

問2 赤毛の女の子が公園で遊んでいました。

36 37 in the park.

① a girl ② playing ③ red hair ④ was ⑤ with

問3 チーズケーキの作り方を知っていますか。

you 38 39 a cheese cake?

① know ② do ③ make ④ to ⑤ how

問4 警察署がどこにあるのか彼に聞いた方がいいよ。

You 40 him 41 .

① the police station ② ask ③ is ④ where ⑤ should

問5 エレンが修学旅行で財布をなくしたというのは本当ですか。

Is 42 43 lost on the school trip?

① her wallet ② it ③ true ④ that ⑤ Ellen

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【令和 2 年度 入試過去問題 数学】

第1問 次の各問いに答えなさい。[18 点]

問1 (−7) + (+3) を計算しなさい。 1

① − 14 ② − 4 ③ 4 ④ 14 ⑤ 45

問2 − 1

2 +

2

7 を計算しなさい。 2

① 7

11 ②

1

9 ③ −

3

14 ④

1

5 ⑤ −

1

24

問3 30𝑥y4 ÷ 6𝑥y2 を計算しなさい。 3

① 18𝑥𝑦2 ② 5y2 ③ 13 ④ 5𝑥𝑦2 ⑤ 48𝑥

問4 7√3 − 18

√12 を計算しなさい。 4

① √3 ② 6 ③ √3

2 ④ −

11

√12 ⑤ 4√3

問5 (𝑥 + 3)(𝑥 − 3) − (𝑥 − 2)2 を計算しなさい。 5

① 4𝑥 − 13 ② 2𝑥2 + 13 ③ 4𝑥2 − 13 ④ −4𝑥 − 5 ⑤ 𝑥2 − 5

問6 (√6 + 3√3)(√2 − 4) を展開しなさい。 6

① √3 ② 2√3 − 12 ③ 3√6 − 4√2 ④ −10√3 − √6 ⑤ 2

第2問 次の各問いに答えなさい。[18 点]

問1 2次方程式 3𝑥2 − 7𝑥 − 1 = 0 を解きなさい。 7

① 𝑥 =7±√61

6 ② 𝑥 = −2 ± √13 ③ 𝑥 =

7±√37

3

④ 𝑥 =7±√67

6 ⑤ 𝑥 =

−7±√37

6

問2 連立方程式 { 𝑥 − 𝑦 = 6−2𝑥 + 5𝑦 = 3

を解きなさい。 8

① 𝑥 = 10, 𝑦 = 4 ② 𝑥 = 2, 𝑦 = −4 ③ 𝑥 = 0, 𝑦 = 6

④ 𝑥 = 1, 𝑦 = 1 ⑤ 𝑥 = 11, 𝑦 = 5

問3 2 < √𝑎 < 4 を満たす自然数 𝑎 の個数を求めなさい。 9

① 11 個 ② 12 個 ③ 13 個 ④ 14 個 ⑤ 15 個

問4 1 辺が 𝑥 cm の正方形がある。この正方形の縦の長さを 5 cm 長くし,横の長さを6 cm 短くしたとき,

面積が 42 cm2 になった。このとき,𝑥 の値を求めなさい。 10

① 𝑥 = 5 ② 𝑥 = 6 ③ 𝑥 = 7 ④ 𝑥 = 8 ⑤ 𝑥 = 9

問5 右のヒストグラムは,あるクラスの生徒 40 人の 1 週間

の読書時間を調べたものである。このとき,中央値を求めなさい。 11

① 4.5 時間 ② 5 時間 ③ 5.5 時間

④ 6 時間 ⑤ 6.5 時間

問6 100 円玉, 50 円玉, 10 円玉がそれぞれ 1 枚ずつある。この 3 枚の硬貨を同時に投げる。このとき,

表になった硬貨の合計金額が 100 円以下になる確率を求めなさい。 12

① 1

8 ②

1

4 ③

3

8 ④

1

2 ⑤

5

8

Page 10: 入試過去問題 英語...for me. You can get out now.” “[5]Please carry me a little longer,” asked the wolf. “Just to *make sure I’m safe.” [6]The farmer carried him

第3問 次の各問いに答えなさい。[12 点]

問1 右の図の正三角柱について,辺 AB とねじれの

位置にある辺を次の中から選びなさい。 13

① 辺 BC ② 辺 ED ③ 辺 AD

④ 辺 EF ⑤ 辺 AC

問2 右の図は,立方体の展開図である。この展開図を組み立てて

立方体をつくるとき,点 A と重なる点を次の中から選びなさい。 14

① 点 B ② 点 G ③ 点 I

④ 点 K ⑤ 点 M

問3 右の図で,直線 𝑙と直線 𝑚が平行であるとき,

∠ 𝑥 と∠ 𝑦 の大きさを求めなさい。 15

① ∠𝑥 = 45°, ∠𝑦 = 105° ② ∠𝑥 = 30°, ∠𝑦 = 105°

③ ∠𝑥 = 45°, ∠𝑦 = 75° ④ ∠𝑥 = 30°, ∠𝑦 = 45°

⑤ ∠𝑥 = 45°, ∠𝑦 = 135°

問4 右の図で,△ ABC ∽△ AEDである。

このとき,辺 ECの長さを求めなさい。 16

① 2 cm ② 7

3 cm ③ 3 cm

④ 10

3 cm ⑤

11

3 cm

第4問 右の図のような直角三角形 ABC があり,点 B

から辺 AC に向かって垂線を引き,交点を H と

する。このとき,次の問いに答えなさい。[10 点]

問1 辺 AC の長さ求めなさい。 17

① 5 cm ② 4 cm ③ 3 cm

④ 6 cm ⑤ 7 cm

問2 線分 BH の長さ求めなさい。 18

① 12

5 cm ②

13

5 cm ③

11

5 cm ④

9

5 cm ⑤

8

5 cm

問3 辺 AC を軸として,直角三角形 ABC を 1 回転してできる立体の体積を求めなさい。 19

① 24

5 𝜋 cm3 ②

48

5 𝜋 cm3 ③

72

5 𝜋 cm3

④ 90

5 𝜋 cm3 ⑤

144

5 𝜋 cm3

4 cm

3 cm

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第5問 次の図の△ ABC において,頂点 A , B から辺 BC と辺 AC に向かって垂線を引き,交点をそれぞれ D,E とする。

線分 AD と線分 BE の交点を F とし,AE = BE であるとき,AF = BC であることを次のように証明した。

次の各問いに答えなさい。[10 点]

証明

△ AFEと△ BCE において仮定より,

AE = BE ……①

線分 AD と線分 BE は垂線なので,

∠AEF = 20 = 90° ……②

また,

∠FAE = 180° − 90° −∠ECB = 21 ……③

①,②,③より, 22 ので

△ AFE ≡ △ BCE

したがって AF = BC

証明終

問1 20 に最も適切なものを選びなさい。

① ∠ADE ② ∠FBA ③ ∠BEC ④ ∠CBE ⑤ ∠FAE

問2 21 に最も適切なものを選びなさい。

① ∠ADE ② ∠FBA ③ ∠BEC ④ ∠CBE ⑤ ∠FAE

問3 22 に最も適切なものを選びなさい。

① 斜辺と他の 1 辺が,それぞれ等しい

② 2組の辺とその間の角が,それぞれ等しい

③ 1 組の辺とその両端の角が,それぞれ等しい

④ 3組の辺の比が,すべて等しい

⑤ 2組の角が,それぞれ等しい

第6問 右の図において,関数 𝑦 = 𝑎𝑥2 …① と関数 𝑦 = 𝑥 + 8 …② の交点を A,B とする。

点 A の座標が(−4, 4 )のとき,次の問いに答えなさい。[10 点]

問1 𝑎 の値を求めなさい。 23

① 𝑎 = 1 ② 𝑎 = 1

2 ③ 𝑎 = 2

④ 𝑎 = 4 ⑤ 𝑎 = 1

4

問2点 B の座標を求めなさい。 24

① (4, 14 ) ② (8, 16 ) ③ (6, 14 )

④ (4, 12 ) ⑤ (8, 12 )

問3原点を通り,△ OAB の面積を 2 等分する直線の式を求めなさい。 25

① 𝑦 = 0 ② 𝑦 = 𝑥 ③ 𝑦 = −2𝑥

④ 𝑦 = −4𝑥 ⑤ 𝑦 = 5𝑥

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第7問 右の図のような,1 辺が 8 cm の正三角形ABCがある。

点 P は頂点 A から出発して,毎秒1 cm の速さで辺 AB上を B まで動く。

点 Q は A から出発して,毎秒 2 cm の速さで辺 AC ,辺 CB 上を C を通って

B まで動く。点 P, Q が同時に出発してから 𝑥 秒後における△ APQ の面積を

𝑦 cm2 とするとき,次の問いに答えなさい。[10 点]

問1 𝑥 = 1 のとき, 𝑦 の値を求めなさい。 26

① 𝑦 = 2√3 ② 𝑦 = 3√3 ③ 𝑦 = √3

④ 𝑦 =√3

4 ⑤ 𝑦 =

√3

2

問2 点 Q が辺 BC の中点のとき,𝑦 の値を求めなさい。 27

① 𝑦 = 2√3 ② 𝑦 = 6√3 ③ 𝑦 = 8√3 ④ 𝑦 = 14√3 ⑤ 𝑦 = 16√3

問3 𝑦 =15√3

8 のとき,𝑥 の値を求めなさい。ただし,点 Q は辺 BC 上にある。 28

① 𝑥 =15√3

4 ② 𝑥 = 2𝜋 ③ 𝑥 =

15

2 ④ 𝑥 = 6.25 ⑤ 𝑥 = √61

第8問 次の図のように,円周を 6 等分した各点に 1,2,3,4,5,6 の番号をつける。

大きさが異なる 3 個のサイコロを同時に投げ,出た目と同じ番号の点を結ぶ。

このとき,次のような図形になるのは何通りか答えなさい。[12 点]

問1 頂点が 1,2,6 の三角形 29

① 3 通り ② 12 通り ③ 1 通り

④ 2 通り ⑤ 6 通り

問2 正三角形 30

① 36 通り ② 3 通り ③ 18 通り

④ 2 通り ⑤ 12 通り

問3 直角三角形 31

① 108 通り ② 36 通り ③ 72 通り ④ 60 通り ⑤ 48 通り

問4 三角形 32

① 60 通り ② 180 通り ③ 120 通り ④ 200 通り ⑤ 90 通り

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【令和2年度入学試験問題解答 英語】

第1問 SectionⅠ Q1[1]② Q2[2]④ Q3[3]⑤ Q4[4]②

SectionⅡ Q5[5]④ Q6[6]⑤ Q7[7]① Q8[8]③

第2問 問 1[9]② 問2[10]④ 問3[11]③ 問4[12]⑤ 問 5[13]①

問 6[14]③ 問7[15]① 問8[16]③ 問 9[17]②

問 10[18]③[19]⑤[20]②

第3問 問1[21]⑤ 問 2[22]③ 問 3[23]④

第4問 問1[24]① 問2[25]③ 問3[26]② 問4[27]① 問5[28]③

第5問 問1[29]④ 問 2[30]② 問 3[31]③ 問 4[32]③ 問 5[33]④

第6問 問 1[34][35]⑤① 問 2[36][37]⑤② 問 3[38][39]⑤③ 問 4[40][41]⑤③ 問 5[42][43]③④ 配点 第 1 問 SectionⅠ Q1[1]~Q3[3]各 1 点 Q4[4]2 点 SectionⅡ Q5[5]~Q7[7]各 1 点 Q8[8]2 点

第 2 問 問 1[9]~問 10[20]各 3 点 第 3 問 問 1[21]~問2[22] [23]各 3 点

第 4 問 問 1[24]~問 5[28]各 3 点 第 5 問 問 1[29]~問 5[33]各 3 点

問 6 問 問 1[34][35]~問 5[42][43]各 3 点 ※完答

【令和2年度入学試験問題解答 国語】

第1問 問1[1]② [2]③ [3]④ [4]④ [5]① 問2[6]③ [7]⑤ 問3[8]② [9]③

問4[10]⑤ [11]① 問5[12]③ 問6[13]③ [14]④ [15]① [16]②

問7[17]② [18]③ [19]① [20]④

第2問 問1[21]③ 問2[22]② 問3[23]③ 問4[24]④ 問5[25]① 問6[26]⑤

第3問 問1[27]② [28]⑤ 問2[29]⑤ 問3[30]③ 問4[31]① 問5[32]①

問6[33]④

第4問 問1[34]③ 問2[35]④ 問3[36]③ 問4[37]② 問5[38]②

配点 第1問[1]~[20]各2点 第2問[21] 5点 [22]4点 [23] [24]各5点 [25]6 点

[26]5 点 第3問[27][28]各 2 点 [29]3点 [30]3 点 [31]3 点 [32]3 点

[33] 4 点 第4問[34]~[38]各2点

【令和2年度入学試験問題解答 数学】

第1問 問1[1]② 問2[2]③ 問3[3]② 問4[4]⑤ 問5[5]① 問6[6]④

第2問 問1[7]① 問2[8]⑤ 問3[9]① 問4[10]⑤ 問5[11]② 問6[12]⑤

第3問 問1[13]④ 問2[14]② 問3[15]① 問4[16]③

第4問 問1[17]① 問2[18]① 問3[19]②

第5問 問1[20]③ 問2[21]④ 問3[22]③

第6問 問1[23]⑤ 問2[24]② 問3[25]⑤

第7問 問1[26]⑤ 問2[27]② 問3 [28]③

第8問 問1[29]⑤ 問2[30]⑤ 問3 [31]③ 問4 [32]③

配点 第1問[1]~[6]各 3 点 第2問[7]~[12]各 3 点 第3問[13]~[16]各 3 点

第4問[17]~[18]各3点 [19]4 点 第5問[20] [21]3 点 [22]4 点

第6問[23] [24]各 3 点 [25]4 点 第 7 問[26] [27]各 3 点 [28]4 点

第 8 問[29]~[32]各 3 点